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Katen [24]
4 years ago
9

Use the distributive property to solve the equation 3.2 = 4/5 (b - 5)

Mathematics
1 answer:
djyliett [7]4 years ago
7 0

Answer:

b=1

Step-by-step explanation:

3.2 = \frac{4}{5} (b - 5)\\3.2 = \frac{4}{5}b - \frac{4}{5} *5\\3.2 = \frac{4}{5}b - 4\\3.2 = -3\frac{1}{5}b\\3.2 = -3.2b\\1 = b\\b= 1

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A runner, training for a competition, ran on a track every day for 10 weeks. The first week he ran 8 kilometers each day of the
Levart [38]

Answer:

Total = 686000 meters for 10 weeks 7 days a week.

Step-by-step explanation:

Let's solve this by doing the increase on just 1 training day per week. Then we can find the grand total for 7 days a week by multiplying by 7

a = 8000

n = 10

d = 400

Sum = (a + L)*n/2

  • L = a + (n - 1)*d
  • L = 8000 + (10 - 1)*400
  • L = 8000 + 9*400
  • L = 8000 + 3600
  • L = 11600 meters

Sum = (8000 + 11600)*10/2

Sum = 19600 * 10/2

Sum = 98000 meters.

This total represents 1 training day a week.

The total amount is 7 times this figure.

Total = 7 * 98000 = 686 000 meters.

3 0
4 years ago
NEED HELP PLZ!! Use the definition, identities, and properties of imaginary numbers to simplify each of the following expression
Ilia_Sergeevich [38]

Answer:

-i,1,i,1

Step-by-step explanation:

5 0
4 years ago
Simplify the expression by combining like terms. <br><br>4y+7x- 2y+4x​
juin [17]

Hello!

Answer:

\boxed{2y+11x}

Step-by-step explanation:

Distributive property: a(b+c)=ab+ac

<em>First, you switch sides. *Group like terms*</em>

4y-2y+7x+4x

<em>Then, you add the similar to elements. You can also add the numbers from left to right.</em>

4y-2y=2y

2y+7x+4x

7x+4x=11x

\boxed{2y+11x}\checkmark, is the correct answer.

Hope this helps!

Have a nice day! :)

4 0
4 years ago
Read 2 more answers
Pls help I’m going to get in trouble if I don’t finish this test<br> I will mark you as brainlist
kaheart [24]
The ratio is 1:5 tbh or that’s what I think ahahahah
7 0
3 years ago
Read 2 more answers
A box contains 9 Identical glass spheres that are used to make snow globes. The spheres are tightly packed. They are held in a 1
Contact [7]
Because the balls or spheres are tightly packed in a cube, their radius is approximately equal to 2 ft. The volume of a sphere is calculated through the equation,
V = 4/3πr³
Substituting the known radius,
V = 4/3π(2 ft)³
V = 33.51 ft³
The 9 spheres will have a total volume of 301/59 ft³ which is also equal to 521152.52 in³.
8 0
3 years ago
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