Equation

Problem 11701

Two trains start 420 miles apart, one at 85 mph and the other at 65 mph. How long until they meet?

See Solution

Problem 11702

Solve the equation: $9y + 5 = 9(y + 5) - 46$ .

See Solution

Problem 11703

Two cars start 400 km apart, meet in 2 hours. One is 18 km/h slower. Find the speed of the slower car.

See Solution

Problem 11704

Solve for $x$ if angle $LKM=7x-8$ and angle $NKM=x+1$ , with KN bisecting angle LKM. What are $x$ and angle $LKM$ ?

See Solution

Problem 11705

What percent $n$ of 20 equals 4? Find $n$ .

See Solution

Problem 11706

11% di 20 è 4, qual è il valore di 11?

See Solution

Problem 11707

If 11% of 20 equals 4, what is the value of 11?

See Solution

Problem 11708

Find the ordered pair $(x, y)$ that satisfies the equation $5x + y = 8$ .

See Solution

Problem 11709

Solve the equation $|7y - 8| = |6y + 4|$ and express your answer as a reduced fraction if necessary.

See Solution

Problem 11710

Find $b$ and $Y Z$ given $X Y=6b$ , $Y Z=8b$ , and $X Z=154$ with $Y$ between $X$ and $Z$ .

See Solution

Problem 11711

Find $Y$ and $Y Z$ given $X Y=11$ , $Y Z=4c$ , and $X Z=83$ .

See Solution

Problem 11712

Solve the absolute value equation: $|-4y + 6| + 6 = 1$ . Provide the answer as a reduced fraction if necessary.

See Solution

Problem 11713

Find three consecutive integers that add up to 339. Let the smallest be $n$ , then the integers are $n$ , $n+1$ , and $n+2$ .

See Solution

Problem 11714

Find the side length of a square with the same area as a right triangle with sides 6, 8, and 10.

See Solution

Problem 11715

Solve for $x$ and angle $LKM$ given that angle $LKM = 7x - 8$ and angle $NKM = x + 1$ .

See Solution

Problem 11716

Find $A C$ if line $y$ bisects $A C$ , where $A B=4-5 x$ and $B C=2 x+25$ . Solve: $4-5 x=2 x+25$

See Solution

Problem 11717

Find the length of $A C$ if line $y$ bisects $A C$ , $A B=4-5 x$ , and $B C=2 x+25$ .

See Solution

Problem 11718

Solve the linear equation: $\frac{6 z-4}{4}+\frac{13}{8}=\frac{12 z+1}{8}$ .

See Solution

Problem 11719

Solve for $x$ in the equation $x^{2}-14 x+49=0$ .

See Solution

Problem 11720

Kevin and Greg inherit \ $43000 each. After 1 year, how much more does Greg have than Kevin if he earns$ 5.3 \% $vs.$ 1.7 \%$?

See Solution

Problem 11721

How many hours does Nisha need to make 64 pairs of ghungroos using the equation $y=4.75 x-2.5$ ?

See Solution

Problem 11722

Solve the linear equation: $6x + 5 = 6(x + 2) - 7$ .

See Solution

Problem 11723

Find the shortest distance between Stan and Wei, given Jeff's locations: 12 miles east of Stan and 16 miles north of Wei.

See Solution

Problem 11724

Find $DE$ if $DF = 42$ , $DE = 7x + 1$ , $EF = 4x - 3$ , and $DF = DE + EF$ .

See Solution

Problem 11725

Solve the equation: $6(5x - 5) = -31(3 - x)$

See Solution

Problem 11726

Charles and Mark inherit \ $46000 each. After 1 year, how much more does Mark have than Charles if he earns$ 5.3 \% $vs.$ 1.8 \%$?

See Solution

Problem 11727

Solve the equation: $6y + 8 = 6(y + 3) - 10$ .

See Solution

Problem 11728

Deon invests \$2000 at 7.5\% compounded semiannually. How long to reach \$4000? Round to the nearest hundredth.

See Solution

Problem 11729

Solve the linear equation: $6z + 4 = 6(z + 3) - 14$ .

See Solution

Problem 11730

Solve the equation: $\frac{2 y-6}{4}+\frac{9}{8}=\frac{4 y+4}{8}$ .

See Solution

Problem 11731

Solve the equation: $\frac{2y-3}{5} + \frac{9}{10} = \frac{4y+5}{10}$ .

See Solution

Problem 11732

Natalie leaves a $23\%$ tip on a \$13.56 bill. How much does she pay in total? Round to the nearest cent.

See Solution

Problem 11733

Solve for $h$ in the formula $A=\frac{1}{2}(B+b) h$ .

See Solution

Problem 11734

Solve the equation $|-14y + 5| + 8 = 3$ and express your answer as a reduced fraction if necessary.

See Solution

Problem 11735

Find the length of the line segment $\overline{EF}$ where $E(-7,-5)$ and $F(-2,7)$ . Options: 21, 13, 15, 17 units.

See Solution

Problem 11736

In $\triangle Q R S$ , if $\sin R=\cos S$ , what can you conclude about $\angle R$ and $\angle S$ ?

See Solution

Problem 11737

Solve the linear equation: $6(3x - 3) = -19(3 - x)$ .

See Solution

Problem 11738

Solve the linear equation: $4t + 7 = 4(t + 4) - 16$ .

See Solution

Problem 11739

Maria and John each deposit \$90,000 at 6\% interest. Calculate their interest for 3 years and compare who earns more.

See Solution

Problem 11740

Find three consecutive integers that add up to 345. Let the smallest be $n$ , so the integers are $n$ , $n+1$ , $n+2$ .

See Solution

Problem 11741

Ann and Jim each deposit \$40,000 at 4% interest. Calculate their annual interest for 3 years and compare who earns more.

See Solution

Problem 11742

A 15 ft sliding board is at a $40^{\circ}$ angle. Find the height to the nearest tenth.

See Solution

Problem 11743

Calculate the % abundance of ${ }^{87} \mathrm{Rb}$ if Rubidium's atomic mass is 85.47 amu, with isotopes ${ }^{85} \mathrm{Rb}$ and ${ }^{87} \mathrm{Rb}$ .

See Solution

Problem 11744

Find the volume of a cylinder with radius 8 cm and height 6 cm using $\pi \approx 3.14$ . Choices: $301.44 \mathrm{~cm}^{3}$ , $150.72 \mathrm{~cm}^{3}$ , $904.32 \mathrm{~cm}^{3}$ , $226.08 \mathrm{~cm}^{3}$ .

See Solution

Problem 11745

Ann deposits \$40,000 at 4\% compounded annually, while Jim deposits \$40,000 at 4\% simple interest. Calculate their interest for 3 years and compare.

See Solution

Problem 11746

Find the volume of an oblique cylinder with radius 5 cm and height 12 cm using $\pi \approx 3.14$ . Options: 1) $377 \mathrm{~cm}^{3}$ 2) $1,021 \mathrm{~cm}^{3}$ 3) $534 \mathrm{~cm}^{3}$ 4) $942 \mathrm{~cm}^{3}$

See Solution

Problem 11747

Ann deposits \$40,000 at 4% annual compound interest. Jim deposits \$40,000 at 4% simple interest. Find their interest for 3 years.

See Solution

Problem 11748

Given points $A(5,19)$ , $B(17,3)$ , $C(11,1)$ , and $D(20.6,8.2)$ , which slopes confirm diameter $\overline{A B}$ bisects chord $\overline{C D}$ ?

See Solution

Problem 11749

Find the equation of the line through $(-1,-4)$ parallel to $3x+y=5$ . Choices: $y=3x+1$ , $y=-3x+7$ , $y=-3x-7$ , $y=3x-1$ .

See Solution

Problem 11750

Ann invests \$40,000 at 4% compounded annually. Jim invests \$40,000 at 4% simple interest. Calculate their interest for 3 years and compare.

See Solution

Problem 11751

Find the equation of the line through $(-2,3)$ and perpendicular to $5x - y = 12$ . Choose from the options.

See Solution

Problem 11752

Find the mass of Copper in Sample 2 (1.550 g) using the composition of Sample 1 (2.000 g, 0.9450 g Copper).

See Solution

Problem 11753

What is the scale of Paco's drawing if the longest side is 5 inches and the original is 10 inches with a length of 4 in. : 5 yd?

See Solution

Problem 11754

Tom deposits \$1800 in a bank with 8% continuous interest. How much will he have after 4 years? Round to the nearest cent.

See Solution

Problem 11755

Calculate the mass of water produced when $1.234 \mathrm{~g}$ of butane reacts with $4.416 \mathrm{~g}$ of oxygen, generating $3.737 \mathrm{~g}$ of $\mathrm{CO}_{2}$ .

See Solution

Problem 11756

Sarah spins a four-sided spinner with numbers $0, 1, 1, 3$ .
(i) What number is most likely to land? (ii) What's the probability of landing on 1 twice? (iii) Given $\frac{729}{16384}$ for landing on 3 on the $n$ th spin, find $n$ .

See Solution

Problem 11757

Solve the equation $2x - 3 = |x - 2|$ .

See Solution

Problem 11758

Find the diagonal length of a monitor with dimensions 24 inches (length) and 18 inches (height) to the nearest inch. Use $d = \sqrt{24^2 + 18^2}$ .

See Solution

Problem 11759

Find the time for a \$2500 investment at 2.8\% interest, compounded quarterly, to grow to \$4000. Round to the nearest hundredth.

See Solution

Problem 11760

How many pitchers of lemonade does Molly need to serve 16 large glasses and 12 small glasses with none left over?

See Solution

Problem 11761

A truck driver is 150 miles from his exit, driving at 50 mph. Find his min and max driving hours before a rest stop within 30 miles.

See Solution

Problem 11762

Draw Utah to scale on paper, where 1 cm = 50 miles. Find Utah's length and width in miles first.

See Solution

Problem 11763

Solve the equation: $|3y + 6| = 13$ . What is the solution set? A. (Type your answer) B. The solution set is $\varnothing$ .

See Solution

Problem 11764

Find the length of $OM$ given that $O$ is the center of a circle, $OA=20 \mathrm{~cm}$ , and $AB=24 \mathrm{~cm}$ .

See Solution

Problem 11765

Calculate and compare interest for Laura's compound and Eric's simple interest on \$70,000 at 3\% for 3 years.

See Solution

Problem 11766

Find $x$ if $AP=x$ , $AB=16$ , $CP=4$ , and $DP=7$ using the intersecting chords theorem.

See Solution

Problem 11767

Find the equation of a line in point-slope form that passes through $(5,-3)$ with a slope of $-\frac{1}{2}$ .

See Solution

Problem 11768

Solve the equation $|1 - \frac{4}{5} k| = 13$ . What are the solutions? A. List them or B. Is it empty?

See Solution

Problem 11769

Laura deposits \$70,000 at 3% annual compound interest, while Eric uses simple interest. Calculate their interest for 3 years and compare.

See Solution

Problem 11770

Ravi buys a laptop for R\$7000, deposits R\$1400, and pays 12\% annual interest compounded quarterly for 3 years. Find his monthly payment.

See Solution

Problem 11771

Find the equation of a line in point-slope form with slope $\frac{1}{6}$ through the point $(10,2)$ .

See Solution

Problem 11772

Find the equation of a line in point-slope form with slope -4 through the point $(-3,8)$ . Simplify all fractions.

See Solution

Problem 11773

Solve the equation $|1-\frac{4}{5} k|=13$ . What are the values of $k$ ? A. $\{k=-15,17.5\}$ B. $\varnothing$ .

See Solution

Problem 11774

Find the equation of a line with slope 6 that passes through the point $(6,8)$ in point-slope form.

See Solution

Problem 11775

Find the equation of the line in point-slope form with point $(-9,9)$ and slope $\frac{1}{6}$ .

See Solution

Problem 11776

Solve the equation |0.02x - 1| = 2.22 and find the solution set.

See Solution

Problem 11777

B) Une cuve a un observateur à $\mathrm{O}$ (1.20 m au-dessus de AB) et un poisson à $\mathrm{P}$ (0.80 m en dessous).
3) Quelle distance l'observateur pense-t-il voir le poisson ? Quelle distance le poisson voit-il l'observateur ?
4) Avec un miroir au fond (CD) et une épaisseur d'eau $\mathrm{e}=1.20 \mathrm{~m}$ , à quelle distance l'observateur voit-il son image ?
Comment cela change-t-il si l'eau s'écoule ?

See Solution

Problem 11778

Lucas sold his car for R12 000, invested it with changing rates. Find the total after 6 years with R3 000 added after 2 years.

See Solution

Problem 11779

Estimate the distance traveled in 8 hours 20 minutes at 39 miles per hour. Round to the nearest mile.

See Solution

Problem 11780

Solve and graph the solution for $|2(x-2)|=9$ . Choose A for answers or B if the solution set is empty.

See Solution

Problem 11781

Solve the equation: $4 x - 5 = 8 - 2 x$ .

See Solution

Problem 11782

Solve the equation $|5a + 8| = |5a - 6|$ and find the solution set: A. (Type answer) B. $\varnothing$ .

See Solution

Problem 11783

Solve the equation $|3x - 14| = -10$ and choose the correct answer: A. (Type an integer or fraction) or B. $\varnothing$ .

See Solution

Problem 11784

Solve for $x$ in the equation $2 x = 9 - 7 x$ .

See Solution

Problem 11785

Find the probability that a 4-digit even number formed from $0,1,2,3,4,5$ is a multiple of 4, with repeated digits allowed.

See Solution

Problem 11786

Solve the equations: (b) $8x + 5 = 3(2x - 11)$ and (e) $\frac{1 - 4x}{8} = \frac{3x - 7}{4}$ .

See Solution

Problem 11787

Convert 1.50 miles to inches using: 1 mile = 5280 feet and 1 foot = 12 inches. What is the result?

See Solution

Problem 11788

QUESTION 3 / 10 - LEVEL 1 8 MARK(S) Let $\alpha$ and $\beta$ be the roots of the equation $x^{2}-5 \mathrm{x}+2=0$ . What is the value of $(\alpha+1)(\beta+1)$ ?

See Solution

Problem 11789

QUESTION 5 / 10 - LEVEL 2 10 MARK(S)
The quadratic equating $x^{2}-4 x+k=0$ has two consecutive odd roots. What are the two roots?

See Solution

Problem 11790

mb A block of mass 3 m can move without friction on a horizontal table. This block is attached to another block of mass $m$ by a cord that passes over a frictionless pulley, as shown above. If the masses of the cord and the pulley are negligible, what is the magnitude of the acceleration of the descending block? (A) $g / 4$ (B) $g / 3$ (C) $2 g / 3$ (D) g

See Solution

Problem 11791

Question 4 (2 points) Happy Belly Restaurant solls to items: turkey sandwiches and hamburgers. The turkey sandwich accounts for $30 \%$ of their sales revenue, whereas the hamburger accounts for $70 \%$ of their sales revenue. Happy Belly also knows that the margin(\%) of the turkey sandwich is much higher than that of the hamburger: whereas the hamburger's margin(\%) is 20\%, the margin(\%) of the turkey sandwich is $50 \%$ .
Based on this information, Happy Belly wants to understand their break-even revenue. Given that their fixed operating costs per month is $\$ 58,000$ ; how much revenue should the company be making per month to break even? \$200,000 \$290,000 \$150,000 \$100,000

See Solution

Problem 11792

Question 7 (2 points) SuGar Co. is run by Susan and Garry, who have been business partners for more than 20 years. Their specialty is to produce and sell solid wood tables. Last year, their costs to produce and sell the tables included raw materials ( $\$ 200$ per table), direct labour ( $\$ 100$ per table), and shipping ( $\$ 50$ per table). They then added a $60 \%$ margin to determine their price. Thisłyear, the cost of their raw materials increased by 50\%. Their other variable costs did not change. If they intend to keep their price (\ $) the same as before, what is their new margin(\%) rounded to the nearest percentage?$ 33 \%100 \% $75\%$ 49 \%$

See Solution

Problem 11793

Question Y (2 points) For the last year, Herlo Inc. has been selling their special starter Surfer Kit for $\$ 500.00$ , providing the store with a $40 \%$ contribution margin. This month, Herlo Inc. decided to have a special sales event. During this special sales event, Herlo will be selling the Surfer Kit for $\$ 400.00$ . Assuming that their variable costs remain the same, what is Herlo's contribution margin (\%) during the special sales event? 40\% 35\% 50\% 25\%

See Solution

Problem 11794

Give the equation of the line graphed below.

See Solution

Problem 11795

How long will it take for a $\$ 5000$ investment to grow to $\$ 6455$ at an annual rate of $9.4 \%$ , compounded quarterly? Assume that no withdrawals are made. Do not round any intermediate computations, and round your answer to the nearest hundredth.

See Solution

Problem 11796

$3 \mathrm{KOH}+\mathrm{H}_{3} \mathrm{PO}_{4} \rightarrow \mathrm{~K}_{3} \mathrm{PO}_{4}+3 \mathrm{H}_{2} \mathrm{O}$ how many grams of potassium phosphate, $\mathrm{K}_{3} \mathrm{PO}_{4}$ , are produced from 30.3 g of potassium hydroxide, KOH ? mass of potassium phosphate: $\square$

See Solution

Problem 11797

A vehicle with a weight of 5400 N is moving at a speed of $70.0 \mathrm{~km} / \mathrm{h}$ . Determine its kinetic energy.
QUESTION 4.

See Solution

Problem 11798

Determine the number of grams of HCl needed to react with 2.99 g of $\mathrm{Al}(\mathrm{OH})_{3}$ . $\mathrm{Al}(\mathrm{OH})_{3}(\mathrm{~s})+3 \mathrm{HCl}(\mathrm{aq}) \rightarrow \mathrm{AlCl}_{3}(\mathrm{aq})+3 \mathrm{H}_{2} \mathrm{O}(\mathrm{l})$ starting amount $\qquad$ $\qquad$ $\qquad$ $\qquad$

See Solution

Problem 11799

Pierce works at a tutoring center on the weekends. At the center, they have a large calculator to use for demonstration purposes that is a scale model of calculators available for the students to use.
Each key on the student calculators is 18 millimeters wide, and each key on the demonstration calculator is 3.6 centimeters wide. If the student calculators are 255 millimeters tall, how tall is the demonstration calculator? A. 0.036 meter B. 51 meters C. 0.51 meter D. 9.18 meters Reset Next

See Solution

Problem 11800

$4 \mathrm{HCl}(\mathrm{~g})+\mathrm{O}_{2}(\mathrm{~g}) \rightarrow 2 \mathrm{Cl}_{2}(\mathrm{~g})+2 \mathrm{H}_{2} \mathrm{O}(\mathrm{~g})$
Calculate the number of grams of $\mathrm{Cl}_{2}$ formed when 0.225 mol HCl reacts with an excess of $\mathrm{O}_{2}$ . mass: $\square$ $\mathrm{g}$

See Solution

1 ...115 116 117 118 119 120 121 ...188

Equation

Problem 11701

Two trains start 420 miles apart, one at 85 mph and the other at 65 mph. How long until they meet?

Problem 11702

Solve the equation: 9y+5=9(y+5)−469y + 5 = 9(y + 5) - 469y+5=9(y+5)−46.

Problem 11703

Two cars start 400 km apart, meet in 2 hours. One is 18 km/h slower. Find the speed of the slower car.

Problem 11704

Solve for xxx if angle LKM=7x−8LKM=7x-8LKM=7x−8 and angle NKM=x+1NKM=x+1NKM=x+1, with KN bisecting angle LKM. What are xxx and angle LKMLKMLKM?

Problem 11705

What percent nnn of 20 equals 4? Find nnn.

Problem 11706

11% di 20 è 4, qual è il valore di 11?

Problem 11707

If 11% of 20 equals 4, what is the value of 11?

Problem 11708

Find the ordered pair (x,y)(x, y)(x,y) that satisfies the equation 5x+y=85x + y = 85x+y=8.

Problem 11709

Solve the equation ∣7y−8∣=∣6y+4∣|7y - 8| = |6y + 4|∣7y−8∣=∣6y+4∣ and express your answer as a reduced fraction if necessary.

Problem 11710

Find bbb and YZY ZYZ given XY=6bX Y=6bXY=6b, YZ=8bY Z=8bYZ=8b, and XZ=154X Z=154XZ=154 with YYY between XXX and ZZZ.

Problem 11711

Find YYY and YZY ZYZ given XY=11X Y=11XY=11, YZ=4cY Z=4cYZ=4c, and XZ=83X Z=83XZ=83.

Problem 11712

Solve the absolute value equation: ∣−4y+6∣+6=1|-4y + 6| + 6 = 1∣−4y+6∣+6=1. Provide the answer as a reduced fraction if necessary.

Problem 11713

Find three consecutive integers that add up to 339. Let the smallest be nnn, then the integers are nnn, n+1n+1n+1, and n+2n+2n+2.

Problem 11714

Find the side length of a square with the same area as a right triangle with sides 6, 8, and 10.

Problem 11715

Solve for xxx and angle LKMLKMLKM given that angle LKM=7x−8LKM = 7x - 8LKM=7x−8 and angle NKM=x+1NKM = x + 1NKM=x+1.

Problem 11716

Find ACA CAC if line yyy bisects ACA CAC, where AB=4−5xA B=4-5 xAB=4−5x and BC=2x+25B C=2 x+25BC=2x+25. Solve: 4−5x=2x+254-5 x=2 x+254−5x=2x+25

Problem 11717

Find the length of ACA CAC if line yyy bisects ACA CAC, AB=4−5xA B=4-5 xAB=4−5x, and BC=2x+25B C=2 x+25BC=2x+25.

Problem 11718

Solve the linear equation: 6z−44+138=12z+18\frac{6 z-4}{4}+\frac{13}{8}=\frac{12 z+1}{8}46z−4​+813​=812z+1​.

Problem 11719

Solve for xxx in the equation x2−14x+49=0x^{2}-14 x+49=0x2−14x+49=0.

Problem 11720

Kevin and Greg inherit \43000each.After1year,howmuchmoredoesGreghavethanKevinifheearns43000 each. After 1 year, how much more does Greg have than Kevin if he earns 43000each.After1year,howmuchmoredoesGreghavethanKevinifheearns5.3 \%vs. vs. vs.1.7 \%$?

Problem 11721

How many hours does Nisha need to make 64 pairs of ghungroos using the equation y=4.75x−2.5y=4.75 x-2.5y=4.75x−2.5?

Problem 11722

Solve the linear equation: 6x+5=6(x+2)−76x + 5 = 6(x + 2) - 76x+5=6(x+2)−7.

Problem 11723

Find the shortest distance between Stan and Wei, given Jeff's locations: 12 miles east of Stan and 16 miles north of Wei.

Problem 11724

Find DEDEDE if DF=42DF = 42DF=42, DE=7x+1DE = 7x + 1DE=7x+1, EF=4x−3EF = 4x - 3EF=4x−3, and DF=DE+EFDF = DE + EFDF=DE+EF.

Problem 11725

Solve the equation: 6(5x−5)=−31(3−x)6(5x - 5) = -31(3 - x)6(5x−5)=−31(3−x)

Problem 11726

Charles and Mark inherit \46000each.After1year,howmuchmoredoesMarkhavethanCharlesifheearns46000 each. After 1 year, how much more does Mark have than Charles if he earns 46000each.After1year,howmuchmoredoesMarkhavethanCharlesifheearns5.3 \%vs. vs. vs.1.8 \%$?

Problem 11727

Solve the equation: 6y+8=6(y+3)−106y + 8 = 6(y + 3) - 106y+8=6(y+3)−10.

Problem 11728

Deon invests \$2000 at 7.5\% compounded semiannually. How long to reach \$4000? Round to the nearest hundredth.

Problem 11729

Solve the linear equation: 6z+4=6(z+3)−146z + 4 = 6(z + 3) - 146z+4=6(z+3)−14.

Problem 11730

Solve the equation: 2y−64+98=4y+48\frac{2 y-6}{4}+\frac{9}{8}=\frac{4 y+4}{8}42y−6​+89​=84y+4​.

Problem 11731

Solve the equation: 2y−35+910=4y+510\frac{2y-3}{5} + \frac{9}{10} = \frac{4y+5}{10}52y−3​+109​=104y+5​.

Problem 11732

Natalie leaves a 23%23\%23% tip on a \$13.56 bill. How much does she pay in total? Round to the nearest cent.

Problem 11733

Solve for hhh in the formula A=12(B+b)hA=\frac{1}{2}(B+b) hA=21​(B+b)h.

Problem 11734

Solve the equation ∣−14y+5∣+8=3|-14y + 5| + 8 = 3∣−14y+5∣+8=3 and express your answer as a reduced fraction if necessary.

Problem 11735

Find the length of the line segment EF‾\overline{EF}EF where E(−7,−5)E(-7,-5)E(−7,−5) and F(−2,7)F(-2,7)F(−2,7). Options: 21, 13, 15, 17 units.

Problem 11736

In △QRS\triangle Q R S△QRS, if sin⁡R=cos⁡S\sin R=\cos SsinR=cosS, what can you conclude about ∠R\angle R∠R and ∠S\angle S∠S?

Problem 11737

Solve the linear equation: 6(3x−3)=−19(3−x)6(3x - 3) = -19(3 - x)6(3x−3)=−19(3−x).

Problem 11738

Solve the linear equation: 4t+7=4(t+4)−164t + 7 = 4(t + 4) - 164t+7=4(t+4)−16.

Problem 11739

Maria and John each deposit \$90,000 at 6\% interest. Calculate their interest for 3 years and compare who earns more.

Problem 11740

Solve the equation: $9y + 5 = 9(y + 5) - 46$ .

Solve for $x$ if angle $LKM=7x-8$ and angle $NKM=x+1$ , with KN bisecting angle LKM. What are $x$ and angle $LKM$ ?

What percent $n$ of 20 equals 4? Find $n$ .

Find the ordered pair $(x, y)$ that satisfies the equation $5x + y = 8$ .

Solve the equation $|7y - 8| = |6y + 4|$ and express your answer as a reduced fraction if necessary.

Find $b$ and $Y Z$ given $X Y=6b$ , $Y Z=8b$ , and $X Z=154$ with $Y$ between $X$ and $Z$ .

Find $Y$ and $Y Z$ given $X Y=11$ , $Y Z=4c$ , and $X Z=83$ .

Solve the absolute value equation: $|-4y + 6| + 6 = 1$ . Provide the answer as a reduced fraction if necessary.

Find three consecutive integers that add up to 339. Let the smallest be $n$ , then the integers are $n$ , $n+1$ , and $n+2$ .

Solve for $x$ and angle $LKM$ given that angle $LKM = 7x - 8$ and angle $NKM = x + 1$ .

Find $A C$ if line $y$ bisects $A C$ , where $A B=4-5 x$ and $B C=2 x+25$ . Solve: $4-5 x=2 x+25$

Find the length of $A C$ if line $y$ bisects $A C$ , $A B=4-5 x$ , and $B C=2 x+25$ .

Solve the linear equation: $\frac{6 z-4}{4}+\frac{13}{8}=\frac{12 z+1}{8}$ .

Solve for $x$ in the equation $x^{2}-14 x+49=0$ .

Kevin and Greg inherit \ $43000 each. After 1 year, how much more does Greg have than Kevin if he earns$ 5.3 \% $vs.$ 1.7 \%$?

How many hours does Nisha need to make 64 pairs of ghungroos using the equation $y=4.75 x-2.5$ ?

Solve the linear equation: $6x + 5 = 6(x + 2) - 7$ .

Find $DE$ if $DF = 42$ , $DE = 7x + 1$ , $EF = 4x - 3$ , and $DF = DE + EF$ .

Solve the equation: $6(5x - 5) = -31(3 - x)$

Charles and Mark inherit \ $46000 each. After 1 year, how much more does Mark have than Charles if he earns$ 5.3 \% $vs.$ 1.8 \%$?

Solve the equation: $6y + 8 = 6(y + 3) - 10$ .

Solve the linear equation: $6z + 4 = 6(z + 3) - 14$ .

Solve the equation: $\frac{2 y-6}{4}+\frac{9}{8}=\frac{4 y+4}{8}$ .

Solve the equation: $\frac{2y-3}{5} + \frac{9}{10} = \frac{4y+5}{10}$ .

Natalie leaves a $23\%$ tip on a \$13.56 bill. How much does she pay in total? Round to the nearest cent.

Solve for $h$ in the formula $A=\frac{1}{2}(B+b) h$ .

Solve the equation $|-14y + 5| + 8 = 3$ and express your answer as a reduced fraction if necessary.

Find the length of the line segment $\overline{EF}$ where $E(-7,-5)$ and $F(-2,7)$ . Options: 21, 13, 15, 17 units.

In $\triangle Q R S$ , if $\sin R=\cos S$ , what can you conclude about $\angle R$ and $\angle S$ ?

Solve the linear equation: $6(3x - 3) = -19(3 - x)$ .

Solve the linear equation: $4t + 7 = 4(t + 4) - 16$ .

Find three consecutive integers that add up to 345. Let the smallest be $n$ , so the integers are $n$ , $n+1$ , $n+2$ .

A 15 ft sliding board is at a $40^{\circ}$ angle. Find the height to the nearest tenth.

Calculate the % abundance of ${ }^{87} \mathrm{Rb}$ if Rubidium's atomic mass is 85.47 amu, with isotopes ${ }^{85} \mathrm{Rb}$ and ${ }^{87} \mathrm{Rb}$ .

Find the volume of a cylinder with radius 8 cm and height 6 cm using $\pi \approx 3.14$ . Choices: $301.44 \mathrm{~cm}^{3}$ , $150.72 \mathrm{~cm}^{3}$ , $904.32 \mathrm{~cm}^{3}$ , $226.08 \mathrm{~cm}^{3}$ .

Find the volume of an oblique cylinder with radius 5 cm and height 12 cm using $\pi \approx 3.14$ . Options: 1) $377 \mathrm{~cm}^{3}$ 2) $1,021 \mathrm{~cm}^{3}$ 3) $534 \mathrm{~cm}^{3}$ 4) $942 \mathrm{~cm}^{3}$

Given points $A(5,19)$ , $B(17,3)$ , $C(11,1)$ , and $D(20.6,8.2)$ , which slopes confirm diameter $\overline{A B}$ bisects chord $\overline{C D}$ ?

Find the equation of the line through $(-1,-4)$ parallel to $3x+y=5$ . Choices: $y=3x+1$ , $y=-3x+7$ , $y=-3x-7$ , $y=3x-1$ .

Find the equation of the line through $(-2,3)$ and perpendicular to $5x - y = 12$ . Choose from the options.

Calculate the mass of water produced when $1.234 \mathrm{~g}$ of butane reacts with $4.416 \mathrm{~g}$ of oxygen, generating $3.737 \mathrm{~g}$ of $\mathrm{CO}_{2}$ .

Sarah spins a four-sided spinner with numbers $0, 1, 1, 3$ .
(i) What number is most likely to land? (ii) What's the probability of landing on 1 twice? (iii) Given $\frac{729}{16384}$ for landing on 3 on the $n$ th spin, find $n$ .

Solve the equation $2x - 3 = |x - 2|$ .

Find the diagonal length of a monitor with dimensions 24 inches (length) and 18 inches (height) to the nearest inch. Use $d = \sqrt{24^2 + 18^2}$ .

Solve the equation: $|3y + 6| = 13$ . What is the solution set? A. (Type your answer) B. The solution set is $\varnothing$ .

Find the length of $OM$ given that $O$ is the center of a circle, $OA=20 \mathrm{~cm}$ , and $AB=24 \mathrm{~cm}$ .

Find $x$ if $AP=x$ , $AB=16$ , $CP=4$ , and $DP=7$ using the intersecting chords theorem.

Find the equation of a line in point-slope form that passes through $(5,-3)$ with a slope of $-\frac{1}{2}$ .

Solve the equation $|1 - \frac{4}{5} k| = 13$ . What are the solutions? A. List them or B. Is it empty?

Find the equation of a line in point-slope form with slope $\frac{1}{6}$ through the point $(10,2)$ .

Find the equation of a line in point-slope form with slope -4 through the point $(-3,8)$ . Simplify all fractions.

Solve the equation $|1-\frac{4}{5} k|=13$ . What are the values of $k$ ? A. $\{k=-15,17.5\}$ B. $\varnothing$ .

Find the equation of a line with slope 6 that passes through the point $(6,8)$ in point-slope form.