All categories

3 years ago

Match each equation on the left to the mathematical property it uses on the right.

Mathematics

2 answers:

erma4kov [3.2K]3 years ago

6 0

Answer:

The answer to your question is:

Step-by-step explanation:

(4 + 5) + 2 = 4 + (5 + 2) Associative property of addition

2(2x + 4) = 4x + 8 Distributive property

( 7 x ) 3 = 7 (x 3) Associative property of multiplication

( 8 x 2) = (x 8 2) Commutative property of multiplication

( 7 + 3) + 1 = 1 + (7 + 3) Commutative property of addition

Lelechka [254]3 years ago

5 0

Answer:

(4+5)+2=4+(5+2) Associative property of addition

2(2x+4)=4x+8 Distributive property

(7x) × 3 = 7(x × 3) Associative property of multiplication

(8 × x × 2) = (x × 8 × 2) Commutative property of multiplication

(7+3)+1 = 1+(7+3) Commutative property of addition

Step-by-step explanation:

Associative property of addition : It is a property when we are adding numbers then we can group the numbers in any combination.

For example : a+(b+c) = (a+b)+c

Associative property of multiplication : It is a property when we are multiplying numbers then we can group the numbers in any combination.

For example : a×(b×c) = (a×b)×c

Commutative property of addition : It is a property in which we can add numbers in any order.

For example : a+b = b+a

Commutative property of multiplication : It is a property in which we can multiply numbers in any order.

For example : a×b = b×a

Distributive property : It is a combination of addition and multiplication.

For example : a×(b+c) = (a×b) + (a×c)

You might be interested in

Juliette and her two brothers spent $45.75 on flowers for their grandmother. Each person will chip in the same amount. How much

labwork [276]

They will pay 10.25

4 0

3 years ago

3. What is the slope of the line passing through (15,-5) and (3, -8)?

Andrej [43]

M= -8 - -5/ 3 - 15= -8+5/3-15= -3/-12 = 3/12 = 1/4

The slope is 1/4.
The slope formula is m=y2-y1/x2-x1. I plugged in -8=y2, -5=y1, 3=x2, and 15=x1. Then I solved it.

6 0

3 years ago

Read 2 more answers

Different sizes of string needs to be cut to go around various shapes. All of the following sizes are in inches.

Brilliant_brown [7]

Answer:

first one

Step-by-step explanation:

6 0

3 years ago

25.7 is what percent of 141?

Lady_Fox [76]

Answer:

about 18.2%

Step-by-step explanation:

All you have to do is divide the result of the percent, so 25.7, by the total, 141.

So 25.7÷141=0.18226950354

We round it to 0.182 and multiply it by 100 to know the percent which is 18.2

7 0

4 years ago

Ray has found that his new car gets 31 miles per gallon on the highwayand 26 miles per gallon in the city. He recently drove 285

Mkey [24]

Answer:

$Highway = 155\ miles$

$City = 130\ miles$

Step-by-step explanation:

Given

$Highway = 31mi/gallon$

$City = 26mi/gallon$

$Total\ Miles = 285$

$Total\ Gallons = 10$

Required

Determine the number of miles driven on the highway and on the city

Represent the gallons used on highway with h and on city with c.

So, we have:

$c + h = 10$ ---- gallons used

and

$31h + 26c = 285$ --- distance travelled

In the first equation, make c the subject

$c = 10 - h$

Substitute 10 - h for c in the second equation

$31h + 26c = 285$

$31h + 26(10 - h) = 285$

Open bracket

$31h + 260 - 26h = 285$

Collect like terms

$31h - 26h = 285 - 260$

$5h = 25$

Make h the subject

$h = \frac{25}{5}$

$h = 5$

Substitute 5 for h in $c = 10 - h$

$c = 10 - 5$

$c = 5$

If on the highway, he travels 31 miles per gallon, then his distance on the highway is:

$Highway = 31 * 5$

$Highway = 155\ miles$

If in the highway, he travels 26 miles per gallon, then his distance on the highway is:

$City = 26 * 5$

$City = 130\ miles$

8 0

3 years ago