Math

QuestionCalculate the total seats in Section A (9 rows, 8 seats) and Section B (4 rows, 7 seats). Also, find streamers from 30 and 40 yards cut into 5-yard pieces.

Studdy Solution

STEP 1

Assumptions1. The operations are performed from left to right, following the order of operations (parentheses, exponents, multiplication and division, addition and subtraction). . The division and multiplication operations have the same precedence and are performed from left to right.
3. The addition and multiplication operations have the same precedence and are performed from left to right.

STEP 2

Let's start with the first exercise (). We need to perform the operations inside the parentheses first.
(20÷4)×(18÷6)(20 \div4) \times(18 \div6)

STEP 3

Perform the division operations inside the parentheses.
5×35 \times3

STEP 4

Perform the multiplication operation.
×3=15 \times3 =15The answer for exercise () is15.

STEP 5

Next, let's solve exercise (0). Again, we perform the operations inside the parentheses first.
(5×7)÷(40÷8)(5 \times7) \div(40 \div8)

STEP 6

Perform the operations inside the parentheses.
35÷535 \div5

STEP 7

Perform the division operation.
35÷5=735 \div5 =7The answer for exercise (0) is7.

STEP 8

Continue this process for all the exercises. For the sake of brevity, I will not write out all the steps for each exercise.

STEP 9

For the last exercise, we need to find the total number of seats in the theater."Section AA of a theater has9 rows with8 seats in each row. Section B has4 rows with7 seats in each row. How many seats are in these sections altogether?"
First, calculate the total number of seats in each section by multiplying the number of rows by the number of seats in each row.
SeatsA=RowsA×SeatsAperrowSeats_{A} = Rows_{A} \times Seats_{A\, per\, row}SeatsB=RowsB×SeatsBperrowSeats_{B} = Rows_{B} \times Seats_{B\, per\, row}

STEP 10

Plug in the values for the number of rows and seats per row for each section.
SeatsA=9×8Seats_{A} =9 \times8SeatsB=4×7Seats_{B} =4 \times7

STEP 11

Calculate the total number of seats in each section.
SeatsA=9×8=72Seats_{A} =9 \times8 =72SeatsB=4×7=28Seats_{B} =4 \times7 =28

STEP 12

Add the total number of seats in each section to find the total number of seats in the theater.
Totalseats=SeatsA+SeatsBTotal\, seats = Seats_{A} + Seats_{B}

STEP 13

Plug in the values for the total number of seats in each section.
Totalseats=72+28Total\, seats =72 +28

STEP 14

Calculate the total number of seats in the theater.
Totalseats=72+28=100Total\, seats =72 +28 =100The total number of seats in the theater is100.

STEP 15

For the final exercise, we need to find the total number of streamers Wmedley can make.
"Wmedley has two rolls of crepe paper, one with30 yards and one with40 yards. If he cuts both rolls into5-yard streamers, how many streamers will he have?"
First, calculate the total number of streamers from each roll by dividing the length of the roll by the length of each streamer.
Streamers30=Length30÷StreamerlengthStreamers_{30} = Length_{30} \div Streamer\, lengthStreamers40=Length40÷StreamerlengthStreamers_{40} = Length_{40} \div Streamer\, length

STEP 16

Plug in the values for the length of each roll and the length of each streamer.
Streamers30=30÷5Streamers_{30} =30 \div5Streamers40=40÷5Streamers_{40} =40 \div5

STEP 17

Calculate the total number of streamers from each roll.
Streamers30=30÷5=6Streamers_{30} =30 \div5 =6Streamers40=40÷5=Streamers_{40} =40 \div5 =

STEP 18

Add the total number of streamers from each roll to find the total number of streamers.
Totalstreamers=Streamers30+Streamers40Total\, streamers = Streamers_{30} + Streamers_{40}

STEP 19

Plug in the values for the total number of streamers from each roll.
Totalstreamers=6+8Total\, streamers =6 +8

STEP 20

Calculate the total number of streamers.
Totalstreamers=6+8=14Total\, streamers =6 +8 =14Wmedley will have14 streamers.

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