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4 years ago

Which shows how the distributive property can be used to evaluate 7 times 8 4/5

2 answers:

6 0

The given expression which we have to simplify i.e consisting of a natural number and Mixed fraction (the operation between them is Multiplication):

→→ 7 × 8 (4/5)

We will use here distributive property of Addition with respect to multiplication which is , a × (b+c)= a × b + a ×c

It can be Written as

= 7 ×(8 + $\frac{4}{5}$ )

= 7 × 8 + 7 × $\frac{4}{5}$

= 56 + $\frac{28}{5}$

= $\frac{280+28}{5}$

= $\frac{308}{5}$

Alchen [17]4 years ago

5 0

7 * 8 4/5 = 7 * (8 + 4/5) = 7 * 8 + 7 * 4/5

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The difference of two numbers is 0.77. If the larger number is increased 5 times, then the difference becomes 77. Find the numbe

Lelu [443]

Let the two numbers are x and y

Let larger number = x

and smaller number = y

it means

x-y = 0.77

Now it says larger number is increased 5 times

So it now becomes 5x

So second equation becomes

5x -y =77

Now we have to solve these two equations

x-y = 0.77 and 5x-y = 77

multiply first equation by -1 and then add both equations

-x+y = -0.77

Now on adding we get

-x+5x +y -y = 77-0.77

4x = 76.23

Divide both sides by 4

x=19.0575

We get the larger number , now subtract 0.77 from this , we will get the smaller number

y=19.0575-0.77=18.2875

y=18.2875

Hence the larger number = 19.0575

Smaller number = 18.2875

8 0

3 years ago

Read 2 more answers

4(x-12)^1/3 = -16<br> Help please, thank you

Lina20 [59]

Hello!

4 (x-12) ^ 1/3 = -16

Step 1. Simplify each side of the equation, 4/ 3x + −16 = −16 and 4 /3 x −16 = −16

Step 2. Add 16 to both sides, 4 /3 x − 16 + 16 = −16 + 16

Step 3: Multiply both sides by 3/4, ( 3/4)*(4/3x)=(3/4)*(0)

Final Answer: x= 0

Hope I could help! :)

7 0

4 years ago

Katya treated everyone in theater to a pizza party. She bought 12 pizzas and six 2-liters of soda. The bill was $137.64 (before

sweet-ann [11.9K]

let the price of pizza and soda( per 2 litre bottle) be x and y

from 1st condition

12x+2y=137.6.....(1)

from 2nd condition

x+y =11.95.......(2)

multiply eq. (2) by 2

2x+2y=23.9.....(3)

subtracting (1) and (3)

12x+2y=137.6

2x+2y= 23.9

10x = 113.7

x=113.7/10

x=11.37

2(11.37)+2y=23.9

22.74+2y=23.9

2y=23.9-22.7

2y=1.2

y=0.6

So the prices of the pizza and soda are 11.37 and 0.6 dollars.

4 0

3 years ago

A credit union loaned out $50,000, part at an annual rate of 6% and the rest at an annual rate of 12% . The collected combined i

Natasha_Volkova [10]

Answer: the credit union loaned out $40000 at 6% and $10000 at 12%

Step-by-step explanation:

Let x represent the amount that the

credit union loaned out at the annual rate of 6%.

Let y represent the amount that the

credit union loaned out at the annual rate of 12%.

credit union loaned out $50,000, part at an annual rate of 6% and the rest at an annual rate of 12%. It means that

x + y = 50000

The interest on $x after 1 year would be

6/100 × x = 0.06x

The interest on $y after 1 year would be

12/100 × y = 0.12y

The collected combined interest was $3,600 that year. It means that

0.06x + 0.12y = 3600- - - - - - - - - 1

Substituting x = 50000 - y into equation 1, it becomes

0.06(50000 - y) + 0.12y = 3600

3000 - 0.06y + 0.12y = 3600

- 0.06y + 0.12y = 3600 - 3000

0.06y = 600

y = 600/0.06

y = $10000

x = 50000 - y = 50000 - 10000

x = $40000

5 0

3 years ago

Teddy makes 32 fluid ounces of hot cocoa. He pours equal amounts of cocoa into 5 cups. The amount of hot cocoa in each cup will

alisha [4.7K]

B is the answer trust me lol

8 0

3 years ago