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iren2701 [21]
2 years ago
14

The sum of two numbers is 36. One number is 2 times as large as the other. What are the numbers?

Mathematics
1 answer:
Varvara68 [4.7K]2 years ago
8 0

Let the first number be "x", and the 2nd number (which is twice as large as the other), be 2x.

Set the equation

2x + x = 36

Simplify. Combine like terms

(2x + x) = 36

3x = 36

Isolate the x. Divide 3 from both sides

(3x)/3 = (36)/3

x = 36/3

x = 12

The first number is 12

The second number is 2x. Replace x with 12. Multiply.

2x = 2(12) = 24

The second number is 24

Check: 12 + 24 = 36 (True)

Answer: 12 & 24

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7x +26 = 180

7x = 154

X = 22

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Step-by-step explanation:

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3 years ago
A construction worker bought several bottles of juice for $3 at the comedian store she paid for them the $20 bills if J represen
irina [24]

Expression 20 – 3J represents the change in dollars, which construction worker will receive after buying J bottles of juice.

<u>Solution:</u>

Given that  

A construction worker bought several bottles of juice for $3 at the comedian store

She paid for them the $20 bills

Number of bottles of juice is represented by variable J

Need to write an expression for the change she receives.  

From given information

Price of 1 juice bottle = $3

\text { So price of J juice bottles }=\mathrm{J} \times \text { Price of } 1 \text { juice bottle }

=\mathrm{J} \times 3=3 \mathrm{J}

<em>Change she receives = Amount she paid - price of J juice bottles   </em>

=> Change she receives = 20 – 3J

Hence expression 20 – 3J represents the change in dollars, which construction worker will receive after buying J bottles of juice.

4 0
4 years ago
Chloe is painting on a stretched canvas that has an area of 108 square inches. The length of the canvas is 12 inches. The width
Stolb23 [73]

Answer: Width of canvas = 9 inches

Area left for painting after painting the border = 70 square inches.

Explanation :

Since we have given that

Area of painting = 108 square inches

Length of canvas = 12 inches

As we know that

\text{Area of rectangle} = length\times breadth

108=12\times breadth\\\\\frac{108}{12}=breadth\\\\9=breadth

So, breadth of canvas = 9 inches .

Now, Chloe paints a 1 inch wide blue border on the canvas.

\text{So, remaining length left for painting after painting the border} = 9-1-1=9-2=7\text{ inches}

\text{ Remaining breadth left for painting after painting the border }= 12-1-1=12-2= 10\text{ inches}

\text{So , area of remaining portion }= length\times breadth \\\\ \text{ area of remaining portion }=7\times 10\\\\\text{ area of remaining portion }=70 \text{ square inches}

Hence, remaining area = 70 square inches .

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3 years ago
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EleoNora [17]

Answer:

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Step-by-step explanation:

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