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/
Math
Word Problems
Problem 1201
Find the line equation in point-slope form through points
(
−
5
,
1
)
(-5,1)
(
−
5
,
1
)
and
(
3
,
1
)
(3,1)
(
3
,
1
)
.
See Solution
Problem 1202
What does the digit 8 represent in 54,823? A. 8 B. 8,000 C. 800 D. 80
See Solution
Problem 1203
Find the unit rate for the whale's speed, and the vertical and horizontal changes between points
(
2.5
,
1
)
(2.5,1)
(
2.5
,
1
)
and
(
5
,
2
)
(5,2)
(
5
,
2
)
.
See Solution
Problem 1204
Identify the independent and dependent quantities when Jill's baton reaches a height of 22 feet in 2 seconds.
See Solution
Problem 1205
A blue whale swims 2.5 miles in 5 minutes. Create a graph of distance vs. time. How far does it swim in 1 minute?
See Solution
Problem 1206
Calcola perimetro e area di un trapezio isoscele con lati
25
c
m
25 \mathrm{~cm}
25
cm
, altezza
24
c
m
24 \mathrm{~cm}
24
cm
e base minore
16
c
m
16 \mathrm{~cm}
16
cm
.
See Solution
Problem 1207
Find the vertical and horizontal changes between points
(
2.5
,
1
)
(2.5,1)
(
2.5
,
1
)
and
(
5
,
2
)
(5,2)
(
5
,
2
)
. Then, calculate the slope using these changes.
See Solution
Problem 1208
Il perimetro del quadrato
A
B
C
D
ABCD
A
BC
D
è tre volte quello del quadrato
E
F
G
H
EFGH
EFG
H
con lato
36
c
m
36 \mathrm{~cm}
36
cm
. Trova il lato di
A
B
C
D
ABCD
A
BC
D
.
See Solution
Problem 1209
Il perimetro del quadrato
A
B
C
D
A B C D
A
BC
D
è tre volte quello di un quadrato EFGH con lato di
36
c
m
36 \mathrm{~cm}
36
cm
. Trova il lato di
A
B
C
D
A B C D
A
BC
D
.
See Solution
Problem 1210
Un trapezio rettangolo ha basi che sommano a
96
c
m
96 \mathrm{~cm}
96
cm
. La base minore è
5
/
7
5/7
5/7
della maggiore. Trova l'area sapendo che l'altezza è
3
/
7
3/7
3/7
della base maggiore.
See Solution
Problem 1211
Un rettangolo ha una differenza di dimensioni di
25
c
m
25 \mathrm{~cm}
25
cm
e l'altezza è
3
/
8
3/8
3/8
della base. Trova perimetro e area.
See Solution
Problem 1212
Help Milynn find the center of the next circle for her inscribed triangle. Consider previous circles, rules, and vertex positions.
See Solution
Problem 1213
Scott uses 43-cent and 6-cent stamps to make \$1.77. How many of each stamp did he use?
See Solution
Problem 1214
Find a number
x
x
x
such that
12
x
+
4
=
4
×
10
12x + 4 = 4 \times 10
12
x
+
4
=
4
×
10
.
See Solution
Problem 1215
In a field with 30 heads and 82 feet, how many pigs and chickens are there? Let pigs be
p
p
p
and chickens be
c
c
c
. Solve:
1.
p
+
c
=
30
p + c = 30
p
+
c
=
30
2.
4
p
+
2
c
=
82
4p + 2c = 82
4
p
+
2
c
=
82
See Solution
Problem 1216
Berechne die Wassermenge für 2dl Orangensaftkonzentrat, wenn auf 4dl Wasser 8cl Orangensaftkonzentrat kommen.
See Solution
Problem 1217
Calcula la pérdida de calor en W/m de un tubo de porcelana con amianto, dados
T
i
=
110
C
T_{i}=110 \mathrm{C}
T
i
=
110
C
y
T
o
=
40
C
T_{o}=40 \mathrm{C}
T
o
=
40
C
.
See Solution
Problem 1218
How many ounces of rolled oats can you buy for \$2.15 if 1 pound costs \$4?
See Solution
Problem 1219
In un triangolo rettangolo, l'ipotenusa è lunga
2
c
m
2 \mathrm{~cm}
2
cm
più di un cateto e la somma dei cateti è
32
c
m
32 \mathrm{~cm}
32
cm
. Trova il perimetro.
See Solution
Problem 1220
An aircraft flies 1855 miles at 530 mph, using fuel at 21 lbs/min. How much fuel is used in kg?
See Solution
Problem 1221
You start at a bearing of 32 degrees, turn left 115 degrees, then right 46 degrees. Find your final bearing.
See Solution
Problem 1222
Due parallelogrammi
A
B
C
D
A B C D
A
BC
D
e
A
′
B
′
C
′
D
′
A^{\prime} B^{\prime} C^{\prime} D^{\prime}
A
′
B
′
C
′
D
′
sono simili. Se
A
B
=
30
c
m
A B=30 \mathrm{~cm}
A
B
=
30
cm
,
B
C
=
20
c
m
B C=20 \mathrm{~cm}
BC
=
20
cm
e
B
′
C
=
16
c
m
B^{\prime} C=16 \mathrm{~cm}
B
′
C
=
16
cm
, trova il rapporto di similitudine e
A
′
B
′
A^{\prime} B^{\prime}
A
′
B
′
.
See Solution
Problem 1223
Select the equivalent equations to
f
+
g
=
5
f+g=5
f
+
g
=
5
using properties of equality:
f
+
g
+
4
=
7
f+g+4=7
f
+
g
+
4
=
7
,
11
+
f
+
g
=
18
11+f+g=18
11
+
f
+
g
=
18
,
8
+
f
+
g
=
14
8+f+g=14
8
+
f
+
g
=
14
,
11
+
f
+
g
=
16
11+f+g=16
11
+
f
+
g
=
16
.
See Solution
Problem 1224
You start at a bearing of 30 degrees and turn left to 290 degrees. How many degrees did you turn?
See Solution
Problem 1225
An aircraft flies 240 miles, starting with
3000
l
b
s
3000 \mathrm{lbs}
3000
lbs
of fuel and ending with
1080
l
b
s
1080 \mathrm{lbs}
1080
lbs
. Find the average fuel consumption per mile.
See Solution
Problem 1226
An aircraft with 5400 lbs of fuel uses
3400
l
b
s
3400 \mathrm{lbs}
3400
lbs
after 180 miles. Find the average fuel consumption rate.
See Solution
Problem 1227
Un quadrato ha un'area di
25
16
\frac{25}{16}
16
25
di un secondo quadrato con perimetro di
51
,
2
c
m
51,2 \mathrm{~cm}
51
,
2
cm
. Trova il perimetro del primo quadrato.
See Solution
Problem 1228
Which option is an unexpected expense? A. car maintenance B. insurance premium C. laptop repair D. yearly eye exam
See Solution
Problem 1229
Convert 120 inches to feet. How many feet is that? Use the conversion
1
foot
=
12
inches
1 \text{ foot} = 12 \text{ inches}
1
foot
=
12
inches
.
See Solution
Problem 1230
Which of the following is a fixed expense? A. grocery bill B. home repair costs C. mortgage payment D. utility bill.
See Solution
Problem 1231
Which option is a fixed, discretionary expense: A. car loan, B. groceries, C. music subscription, D. rent?
See Solution
Problem 1232
Ms. Warden wants \$20,000 in 4 years. How much to invest now at 8.5% annual interest, compounded semi-annually?
See Solution
Problem 1233
Calculate the total seconds in 9 hours. Use the formula:
9
hours
×
3600
seconds/hour
9 \text{ hours} \times 3600 \text{ seconds/hour}
9
hours
×
3600
seconds/hour
.
See Solution
Problem 1234
Find the exact value of
sec
A
\sec A
sec
A
if
sin
A
=
−
5
9
\sin A = -\frac{5}{9}
sin
A
=
−
9
5
and
A
A
A
is in quadrant 3.
See Solution
Problem 1235
Lynne feeds her cat
65
g
65 \mathrm{~g}
65
g
daily. How many ounces will she feed in 5 weeks? Use
10
z
=
28.3
g
10 z=28.3 \mathrm{~g}
10
z
=
28.3
g
.
See Solution
Problem 1236
Find the slope of the line through points (-1,-2) and (3,0):
m
=
0
−
(
−
2
)
3
−
(
−
1
)
=
[
?
]
m=\frac{0-(-2)}{3-(-1)}=[?]
m
=
3
−
(
−
1
)
0
−
(
−
2
)
=
[
?]
. Options: A.
−
2
/
4
-2/4
−
2/4
, B.
1
/
2
1/2
1/2
, C. 0, D.
−
2
/
2
-2/2
−
2/2
.
See Solution
Problem 1237
Find the missing input for the slope formula
m
=
0
−
[
?
]
−
1
−
3
m=\frac{0-[?]}{-1-3}
m
=
−
1
−
3
0
−
[
?]
using points
(
−
1
,
−
2
)
(-1,-2)
(
−
1
,
−
2
)
and
(
3
,
0
)
(3,0)
(
3
,
0
)
. Options: A. -2, B. -1, C. 0, D. 3.
See Solution
Problem 1238
What factors convert
4
k
m
/
m
i
n
4 \mathrm{~km} / \mathrm{min}
4
km
/
min
to meters per hour?
See Solution
Problem 1239
Check if the scale from triangle with sides 1cm, 2cm, 2.5cm to triangle with sides 3cm, 6cm is
1
:
3
1:3
1
:
3
.
See Solution
Problem 1240
Convert 150 feet to yards. How many yards is that?
See Solution
Problem 1241
Find the slope of the line through the points (5,3) and (8,-6).
m
=
[
?
]
\mathrm{m}=[?]
m
=
[
?]
See Solution
Problem 1242
Find the point-slope form of the line with slope
m
=
−
3
m=-3
m
=
−
3
through the point
(
5
,
3
)
(5,3)
(
5
,
3
)
.
y
−
[
?
]
=
□
(
x
−
□
)
y-[?]=\square(x-\square)
y
−
[
?]
=
□
(
x
−
□
)
See Solution
Problem 1243
What factors convert
18
c
m
/
s
18 \mathrm{~cm/s}
18
cm/s
to meters per minute? Choose correct options: 1)
1
m
100
c
m
\frac{1 \mathrm{~m}}{100 \mathrm{~cm}}
100
cm
1
m
2)
60
s
1
m
i
n
\frac{60 \mathrm{~s}}{1 \mathrm{~min}}
1
min
60
s
See Solution
Problem 1244
Sharon's car gas tank holds 16.5 gal. How many liters can it hold? Use the conversion
1
gal
≈
3.785
L
1 \text{ gal} \approx 3.785 \text{ L}
1
gal
≈
3.785
L
.
See Solution
Problem 1245
Find the first three terms of a geometric sequence where the
5
th
5^{\text{th}}
5
th
term is 1875 and the
7
th
7^{\text{th}}
7
th
term is 46875.
See Solution
Problem 1246
How long does it take the Baxter boys to prepare 131 newspapers at a rate of 25 in 3 minutes?
See Solution
Problem 1247
Find the ratios of 20 Dalmatians, 10 German Shepherds, 3 Great Danes, 2 Saint Bernards, and 1 Collie as fractions in lowest terms.
See Solution
Problem 1248
Johnathan gets
2500
k
g
2500 \mathrm{~kg}
2500
kg
of sand daily. How many tons does he receive in 4 weeks?
See Solution
Problem 1249
Calculate the area covered per hour, rounding to the nearest hundredth, if 85 acres were covered in 7.5 hours.
See Solution
Problem 1250
In 1 Liter Sirup sind 200g Zucker. Wie viel Zucker ist in einem 4dl-Glas bei 1 Teil Sirup und 4 Teilen Wasser?
See Solution
Problem 1251
Find the slope of the line through points
(
12
,
3
)
(12,3)
(
12
,
3
)
and
(
6
,
1
)
(6,1)
(
6
,
1
)
. Slope =
[
[
]
\frac{[}{[]}
[
]
[
See Solution
Problem 1252
Find the slope of the line through
(
12
,
3
)
(12,3)
(
12
,
3
)
and
(
6
,
1
)
(6,1)
(
6
,
1
)
. Then use the slope-intercept formula to find
b
b
b
.
See Solution
Problem 1253
Find the slope of the line through points
(
12
,
3
)
(12,3)
(
12
,
3
)
and
(
6
,
1
)
(6,1)
(
6
,
1
)
. Then complete the slope-intercept formula:
3
=
1
3
[
?
]
+
b
3=\frac{1}{3}[?]+b
3
=
3
1
[
?]
+
b
.
See Solution
Problem 1254
Find the slope of the line through
(
−
9
,
−
2
)
(-9,-2)
(
−
9
,
−
2
)
and
(
5
,
1
)
(5,1)
(
5
,
1
)
, then use it in the slope-intercept formula.
See Solution
Problem 1255
Find the slope of the line through points
(
−
3
,
−
3
)
(-3,-3)
(
−
3
,
−
3
)
and
(
−
5
,
10
)
(-5,10)
(
−
5
,
10
)
. Slope =
[
[
]
[
]
]
[\frac{[]}{[]}]
[
[
]
[
]
]
See Solution
Problem 1256
Find two consecutive integers whose sum is 109.
See Solution
Problem 1257
Find three consecutive even integers whose sum is 24.
See Solution
Problem 1258
Find three consecutive integers whose sum is 81.
See Solution
Problem 1259
Find three consecutive odd integers that add up to 45.
See Solution
Problem 1260
The garden table and bench cost \$600 together. The table costs three times the bench. Find the bench's cost.
See Solution
Problem 1261
A square's area is 36. Find its perimeter, given that area = side
2
^2
2
.
See Solution
Problem 1262
Find the next number in the series:
36
,
34
,
30
,
28
,
24
,
…
36, 34, 30, 28, 24, \ldots
36
,
34
,
30
,
28
,
24
,
…
.
See Solution
Problem 1263
Round 9,032 to the nearest hundred.
See Solution
Problem 1264
Is it better to express a 5K race as 5 kilometers or
5
×
1
0
6
5 \times 10^{6}
5
×
1
0
6
millimeters? Justify your answer.
See Solution
Problem 1265
Write the numbers
92
,
378
92,378
92
,
378
and
428
,
737
428,737
428
,
737
in words.
See Solution
Problem 1266
Find
B
C
BC
BC
if
B
C
=
x
−
8
BC=x-8
BC
=
x
−
8
,
A
C
=
2
x
−
8
AC=2x-8
A
C
=
2
x
−
8
, and
A
B
=
12
AB=12
A
B
=
12
.
See Solution
Problem 1267
Find
x
x
x
if PR = 2x + 21, RP = 12, and PQ = x + 24.
See Solution
Problem 1268
Find
x
x
x
if
F
G
‾
=
x
\overline{FG} = x
FG
=
x
,
G
H
‾
=
2
x
−
22
\overline{GH} = 2x - 22
G
H
=
2
x
−
22
, and
F
H
‾
=
14
\overline{FH} = 14
F
H
=
14
.
See Solution
Problem 1269
Find
x
x
x
if
H
G
=
8
HG = 8
H
G
=
8
,
G
F
=
17
+
2
x
GF = 17 + 2x
GF
=
17
+
2
x
, and
H
F
=
x
+
18
HF = x + 18
H
F
=
x
+
18
.
See Solution
Problem 1270
Find
x
x
x
if
F
G
=
2
x
−
3
FG = 2x - 3
FG
=
2
x
−
3
,
G
H
=
2
x
−
3
GH = 2x - 3
G
H
=
2
x
−
3
, and
F
H
=
22
FH = 22
F
H
=
22
.
See Solution
Problem 1271
Isabella's money is in a
3
:
11
3:11
3
:
11
ratio with Shane's. If Isabella has \$33, find their total money together.
See Solution
Problem 1272
Find a fraction between
2
/
3
2/3
2/3
and
4
/
5
4/5
4/5
. Options: A.
3
/
4
3/4
3/4
B.
1
/
2
1/2
1/2
C.
5
/
6
5/6
5/6
D.
1
/
5
1/5
1/5
See Solution
Problem 1273
Toby uses 3 cups of milk for 4 batches of pancakes. How many cups are needed for 1 batch? Answer:
3
4
\frac{3}{4}
4
3
cups.
See Solution
Problem 1274
Find
x
x
x
if
K
L
=
x
+
18
KL = x + 18
K
L
=
x
+
18
,
L
M
=
2
x
+
17
LM = 2x + 17
L
M
=
2
x
+
17
, and
K
M
=
17
KM = 17
K
M
=
17
.
See Solution
Problem 1275
Your friend multiplies 20 and 15 first in
20
×
(
15
×
14
)
20 \times(15 \times 14)
20
×
(
15
×
14
)
. Which Property did he use and why?
See Solution
Problem 1276
Convert
2.075
2.075
2.075
cm to words and state the place and value of the digit
5
5
5
.
See Solution
Problem 1277
Find the perimeter of a rectangle with width
(
7
h
+
3
)
(7 h+3)
(
7
h
+
3
)
cm and length
(
8
h
−
4
)
(8 h-4)
(
8
h
−
4
)
cm.
See Solution
Problem 1278
Find the possible heights of a parallelogram with area 18 sq. units and sides 24 and 6 units long. Options:
3
4
\frac{3}{4}
4
3
,
4
3
\frac{4}{3}
3
4
, 3, 4.
See Solution
Problem 1279
Find the perimeter of a rectangle with width
(
5
v
−
2
w
)
(5 v-2 w)
(
5
v
−
2
w
)
cm and length
(
6
v
+
7
w
)
(6 v+7 w)
(
6
v
+
7
w
)
cm.
See Solution
Problem 1280
What is
10
×
700
10 \times 700
10
×
700
?
See Solution
Problem 1281
The area of a parallelogram is 18 sq. units. One side is 24 units, the other is 6 units. Find possible heights: A
3
4
\frac{3}{4}
4
3
, B
4
3
\frac{4}{3}
3
4
, C 3, D 4, E 12.
See Solution
Problem 1282
Risa sews a ribbon around a square blanket with each side 72 inches. How many inches of ribbon does she need?
See Solution
Problem 1283
Estimate the product of 289 and 7.
See Solution
Problem 1284
What is
1
10
\frac{1}{10}
10
1
of 3000?
See Solution
Problem 1285
Your friend multiplied
20
20
20
and
15
15
15
first in
20
×
(
15
×
14
)
20 \times(15 \times 14)
20
×
(
15
×
14
)
. What property is this and why?
See Solution
Problem 1286
Your friend multiplied
20
20
20
and
15
15
15
before multiplying by
14
14
14
. Which property is this and why?
See Solution
Problem 1287
Convert
8
8
∘
F
88^{\circ} \mathrm{F}
8
8
∘
F
to Celsius using
C
=
5
(
F
−
32
)
9
C=\frac{5(F-32)}{9}
C
=
9
5
(
F
−
32
)
. Round to the nearest tenth.
See Solution
Problem 1288
Determine the common difference in the arithmetic sequence
11
,
20
,
29
,
…
11, 20, 29, \ldots
11
,
20
,
29
,
…
See Solution
Problem 1289
Madelyn mixes 2 cups of black and 5 cups of white paint, while Magan uses 2 cups of black and 1 cup of white. Who's darker?
See Solution
Problem 1290
In art class, Alang mixes 1 cup blue and 3 cups red, while Taylor uses 2 cups blue and 3 cups red. Who's redder?
See Solution
Problem 1291
Who mixed lighter gray paint: Andrew (1 cup black, 6 cups white) or Micaela (1 cup black, 4 cups white)?
See Solution
Problem 1292
Who has bluer purple paint: Hudson (6 cups blue, 1 cup red) or Gianna (3 cups blue, 1 cup red)?
See Solution
Problem 1293
Find an equivalent ratio of apples to bananas given the ratio of 15:60.
See Solution
Problem 1294
Round the following numbers to the nearest ten: 302, 304, 305, 429, 191, 198.
See Solution
Problem 1295
세 자리 수의
1
10
\frac{1}{10}
10
1
와
1
100
\frac{1}{100}
100
1
의 합이 76.78입니다. 이 수를 구하시오.
See Solution
Problem 1296
Find the area of a parallelogram window with base
12
i
n
12 \mathrm{in}
12
in
and height
6
i
n
6 \mathrm{in}
6
in
. Options: A) 22, B) 60, C) 72, D) 120.
See Solution
Problem 1297
Taji hangs a picture
5
8
\frac{5}{8}
8
5
of the way up a 12-foot wall. How high from the floor should he hang it?
See Solution
Problem 1298
Calculate the area of a parallelogram with base
6.2
cm
6.2 \, \text{cm}
6.2
cm
and height
6.2
cm
6.2 \, \text{cm}
6.2
cm
.
See Solution
Problem 1299
Determine the underlined digit in the numbers
506
,
087
506,087
506
,
087
,
49
,
254
49,254
49
,
254
,
814
,
295
814,295
814
,
295
, and
736
,
144
736,144
736
,
144
.
See Solution
Problem 1300
Find point
P
P
P
on line segment
A
F
‾
\overline{A F}
A
F
where the ratio
A
P
:
P
F
=
1
:
3
AP:PF = 1:3
A
P
:
PF
=
1
:
3
. Determine the location of
P
P
P
on the number line.
See Solution
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