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Drupady [299]
3 years ago
13

What is -4/5 ÷ (-7/6) in simplest form ??

Mathematics
1 answer:
Orlov [11]3 years ago
3 0

Answer:

\frac{24}{35}

Step-by-step explanation:

1) Remove parentheses.

-  \frac{4}{5}  \div  -  \frac{7}{6}

2) Use this rule: a ÷ b/c = a × c/b.

-  \frac{4}{5}  \times  \frac{6}{ - 7}

3) Use this rule: a/b × c/d = ac/bd.

-  \frac{4 \times 6}{5 \times  - 7}

4) Simplify 4 × 6 to 24.

-  \frac{24}{5 \times  - 7}

5) Simplify 5 × -7 to -35.

- \frac{24}{ - 35}

6) Move the negative sing to the left.

- ( -  \frac{24}{35} )

7) Remove parentheses.

\frac{24}{35}

<u>Therefor</u><u>,</u><u> </u><u>the</u><u> </u><u>answer</u><u> </u><u>is</u><u> </u><u>24</u><u>/</u><u>35</u>.

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Can I get help please and thank you
Ipatiy [6.2K]

9514 1404 393

Answer:

  a.  0.81

  b.  v = 28000(0.81^n)

  c.  2757.36

Step-by-step explanation:

a. The growth factor is 1 more than the growth rate. Here, the growth rate is -19% (per year), so the growth factor, the multiplier, is ...

  1 -0.19 = 0.81

__

b. The equation sets value equal to the original value multiplied by the growth factor to the power of the number of years:

  value = (original value) × (growth factor)^n

  v = 28000(0.81^n)

__

c. For n=11, this is ...

  v = 28000(0.81^11) ≈ 2757.36

The value of the truck after 11 years is about $2757.

6 0
3 years ago
The base of a pentagonal prism is regular with an apothem of 4 cm. The height of the prism is 16 cm. Find the volume of the pris
Georgia [21]

Answer:

volume ≈ 930 cm³ (nearest cubic cm)

Step-by-step explanation:

The base of the prism which is a pentagon is regular. The apothem which is a line drawn from the center to any side of the pentagon is 4 cm. The height of the prism is 16 cm.

The volume of a prism = Bh

where

B = base area

h = height of the prism

The base of the prism can be divided into 5 congruent triangles.But the base of the triangles is unknown.

The sum of interior angle of a pentagon is 540°. That means each angle is 108° . The triangle divide the angle into 2. Making the 2 base angle as 54° each. The last angle of the triangle at the center is 72°(remember sum of angle in a triangle is 180° which is 54° + 54° + 72° = 180°) .

The angle form the center can be divided by the line of height of the triangles. The angle will then be 36°. Using tangential ratio half of the length of the base of the triangle can be known. Therefore,

tan 36° = opposite/adjacent

tan 36° = opposite/4

opposite = 4 tan 36°

The full base of the triangles = 2(4 tan 36°)

area of each triangle = 1/2 × 2(4 tan 36°) × 4 = 16 tan 36°

Base area of the prism(pentagon) = 5 × 16 tan 36° = 80 tan 36°

Volume of the prism = Bh

where

h = 16 cm

B = 80 tan 36°

volume =  80 tan 36° × 16 = 1280  tan 36° = 1280  × 0.726542528

volume = 929.974435847  cm³

volume ≈ 930 cm³ (nearest cubic cm)

5 0
3 years ago
Find the median of the data set below? -12/4, 18/5, -2.5, 1/5, 10
nirvana33 [79]

-12/4= -3

18/5= 3.6

-2.5= -2.5

1/5= .2

10= 10

Ordered) -12/4, -2.5, 1/5, -2.5, 10

The median is 1/5 since it's in the middle of all five numbers.

Hope I could help! :)

5 0
3 years ago
Find the volume of the sphere. Round your answer to the nearest tenth.
ollegr [7]

Answer:

Step-by-step explanation:

Givens

pi = 3.14

d = 3.8

r = d/2

r = 3.8/2 = 1.9

Formula

V = (4/3) * pi * r^3

Solution

V = (4/3) * 3.14 * 1.9^3

V = 4/3 * 3.14 * 6.859

V = 28.7163

6 0
2 years ago
Simplify each expression. <br> 1) 7(3v - 3) <br> 2) -3(-n + 4)<br> 3) -6(-8x - 3) <br> 4) -(3b - 9)
Reil [10]

Answer:

Step-by-step explanation:

1 21v - 21

2 3n - 12

3 48x + 18

4 -3b + 9

3 0
2 years ago
Read 2 more answers
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