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Lady bird [3.3K]
3 years ago
8

A parallelogram-shaped sponge is 1 inch by 3 inches. The area of a design is 66 square inches. How many times do you use the spo

nge to create the design?
Mathematics
2 answers:
lawyer [7]3 years ago
8 0

Answer:

22 times

Step-by-step explanation:

The area of the sponge is given by

A=(1 inch)*(3 inch)=3 square inches

Now we divide the area of the design by the area of the sponge

66/3=22 times

we use the sponge 22 times

Kipish [7]3 years ago
3 0

Answer:

You can use the sponge 22 times to create the design

Step-by-step explanation:

Area of the parallelogram-shaped sponge = base × height = 3 inches × 1 inch = 3 square inches

Area of design = 66 square inches

Number of times to use the sponge to create the design = Area of design ÷ Area of parallelogram-shaped sponge = 66 square inches ÷ 3 square inches = 22

The sponge can be used 22 times to create the design

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To the nearest 1000 there are 18000 people at a festival write down the maximum possible number of people at the festival
damaskus [11]

9514 1404 393

Answer:

  18,499

Step-by-step explanation:

Any number greater than or equal to 18,500 will be rounded to a higher thousand. The maximum integer that will round to 18,000 is 18,499.

There could have been up to 18,499 people at the festival.

8 0
3 years ago
Jackie and Rachel both worked during last summer and made $960 each. Rachel worked 16 hours more than Jackie, but Rachel earned
Pavel [41]

Answer:

The number of hours Jackie worked  = 80hours

Step-by-step explanation:

Last summer:

Jackie made $960

Rachel made $960

let number of hours Jackie worked = x

Rachel worked 16 hours more than Jackie:

Number of hours Rachel worked = x + 16

if Jackie earned $y  per hour

Rachel earned $2 less per hour = y-2

Jackie: 960 = x × y = xy

Rachel: 960 = (x+16)(y-2)

960 = xy -2x +16y -32

recall xy = 960, insert the value for xy

960 = 960 - 2x +16y -32

- 2x +16y -32 = 0

2x -16y = -32

x-8y = -16

x = 8y-16

recall xy = 960, insert the expression for x

(8y-16)y = 960

8y² -16y = 960

y² -2y - 120 = 0

y²+10y-12y -120 = 0

y(y+10) -12(y+10) = 0

(y-12) = 0 or (y+10) = 0

y = 12 or -10

since y can't be negative, y = 12

x = 8y-16

x = 8(12) -16 = 80

The number of hours Jackie worked = x = 80 hours

7 0
3 years ago
(0.020) (0.030) / (0.10)x = 2.3 × 10-4
Naya [18.7K]

The value of x in the equation is 26. 087

<h3>What are algebraic expressions?</h3>

Algebraic expressions are defined as expressions made up of terms, constants, coefficients, factors and variables.

They may also include certain mathematical or arithmetic operations which includes;

  • Bracket
  • Division
  • Addition
  • Subtraction
  • Parentheses
  • Multiplication and so on

Given the equation;

(0.020) (0.030) / (0.10)x = 2.3 × 10-4

We can simply the equation following the steps;

expand the brackets, we have;

6× 10^-4/ 0.10x = 2.3 × 10^-4

Now, cross multiply

0.10x × 2.3 × 10^-4 = 6× 10^-4

Divide both sides by 2.3 × 10^-4

0. 10x =  6× 10^-4/2.3 × 10^-4

Find the quotient

0. 10x = 2. 608

Let's make the variable 'x' by dividing both sides by it's coefficient

0. 10x/0.10 = 2. 608/0. 10

x = 26. 087

Hence, the value is 26. 087

Learn more about algebraic expressions here:

brainly.com/question/4344214

#SPJ1

4 0
1 year ago
7/8 = _ x _/8 Find the missing values for the multiplication equation
Bumek [7]
<span>A whole number is multiplied to a fraction by multiplying the whole number to numerator of the fraction while retaining the denominator of the fraction 7/8 = (7 x 1)/8 = 7 x 1/8. The number missing in the 1st blank is 7 while the number missing in the second blank is 1.</span>
6 0
3 years ago
A distance runner is running an 18-mile race. So far, he has run 43% of the race.
Nezavi [6.7K]
The answer would be Find 40% of 20 because you would round 43% down and 18 up. Hope this helps :) 
8 0
3 years ago
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