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1 year ago

Use mental math to decide which equations are true. Drag the true equations into the box.

Mathematics

1 answer:

AleksAgata [21]1 year ago

3 0

1.23÷10 = 0.123 is a true statement

Given the expression 1.23÷10, we need to<u> check if the expression is equal to 0.123</u>

<h3>Fractions</h3>

Fractions is a ratio of two integers a/b

Given

1.23÷10

Convert the decimal to a fraction as shown:

1.23 = 123/100

The expression becomes:

123/100 ÷10

= 123/100 * 1/10

= 123/1000

Convert back to decimal

1.23÷10 = 0.123

This shows that 1.23÷10 = 0.123 is a true statement

Learn more on division here: brainly.com/question/12957834

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3 years ago

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2 years ago

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2 years ago

A chemical company makes two brands of antifreeze. The first brand is 20% pure antifreeze, and the second brand is 70% pure anti

andre [41]

Answer:

First brand of antifreeze: 21 gallons

Second brand of antifreeze: 9 gallons

Step-by-step explanation:

Let's call A the amount of first brand of antifreeze. 20% pure antifreeze

Let's call B the amount of second brand of antifreeze. 70% pure antifreeze

The resulting mixture should have 35% pure antifreeze, and 30 gallons.

Then we know that the total amount of mixture will be:

$A + B = 30$

Then the total amount of pure antifreeze in the mixture will be:

$0.2A + 0.7B = 0.35 * 30$

$0.2A + 0.7B = 10.5$

Then we have two equations and two unknowns so we solve the system of equations. Multiply the first equation by -0.7 and add it to the second equation:

$-0.7A -0.7B = -0.7*30$

$-0.7A -0.7B = -21$

$0.2A + 0.7B = 10.5$

--------------------------------------

$-0.5A = -10.5$

$A = \frac{-10.5}{-0.5}$

$A = 21\ gallons$

We substitute the value of A into one of the two equations and solve for B.

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3 0

2 years ago

The cost of 4 belts and 5 ties is $247. Each time costs 3 times as much as a belt. What us the total cost of 1 belt and 1 tie

Makovka662 [10]

Answer:

The total cost of 1 belt and 1 tie is $13 and $39 respectively.

Step-by-step explanation:

Given that,

The cost of 4 belts and 5 ties is $247.

Each tie costs 3 times as much as a belt.

Let the cost of a belt is x and that of a tie is y.

ATQ,

4x + 5y = 247 ...(1)

y = 3x ....(2)

Put the value of y from equation (2) in equation (1)

4x + 5(3x) = 247

4x + 15x = 247

19x = 247

x = 13

Put the value in equation (2)

y = 3x

= 3(13)

= 39

So, the total cost of 1 belt and 1 tie is $13 and $39 respectively.

5 0

3 years ago