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MrRissso [65]
3 years ago
15

Simplify 99=2(-7b-3)+7​

Mathematics
2 answers:
alexgriva [62]3 years ago
6 0

b = -7  is the answer

Arisa [49]3 years ago
5 0

Answer:

b=-7

Step-by-step explanation:

Simplifying

99 = 2(-7b + -3) + 7

Reorder the terms:

99 = 2(-3 + -7b) + 7

99 = (-3 * 2 + -7b * 2) + 7

99 = (-6 + -14b) + 7

Reorder the terms:

99 = -6 + 7 + -14b

Combine like terms: -6 + 7 = 1

99 = 1 + -14b

Solving

99 = 1 + -14b

Solving for variable 'b'.

Move all terms containing b to the left, all other terms to the right.

Add '14b' to each side of the equation.

99 + 14b = 1 + -14b + 14b

Combine like terms: -14b + 14b = 0

99 + 14b = 1 + 0

99 + 14b = 1

Add '-99' to each side of the equation.

99 + -99 + 14b = 1 + -99

Combine like terms: 99 + -99 = 0

0 + 14b = 1 + -99

14b = 1 + -99

Combine like terms: 1 + -99 = -98

14b = -98

Divide each side by '14'.

b = -7

Simplifying

b = -7

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1. Write the word sentence as an equation. 2. Then solve the equation. 5/7a=25
seropon [69]

Answer:

a = 35

Step-by-step explanation:

5/7a = 25

multiply both sides by 7:

5a = 175

divide by 5:

a = 35

Hope this helps !!!

7 0
3 years ago
Need help with simplifying expressions
Ilia_Sergeevich [38]

Answer:

A) -20

Step-by-step explanation:

distribute the 4y and the -4 to the parentheses

16y^2 -16y+16y-20-16y^2

combine like terms

16y^2-16y^2=0

-16y+16y=0

-20

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3 0
2 years ago
Read 2 more answers
1. This composite figure is created by placing a sector of a circle on a rectangle. What is the area of this composite figure? S
White raven [17]

Answer:

29.92 m² (nearest hundredth)

Step-by-step explanation:

\textsf{Area of a sector}=\dfrac{\theta}{360\textdegree}\pi r^2

\implies \textsf{area}=\dfrac{30}{360\textdegree}\pi \cdot 5.5^2=\dfrac{121}{48}\pi \textsf{  m}^2

Area of rectangle = width × length

⇒ area = 4 × 5.5 = 22 m²

Total area = area of sector + area of rectangle

⇒ total area = \dfrac{121}{48}\pi +22 = 29.91943148... = 29.92 m² (nearest hundredth)

6 0
2 years ago
Each month cameron budgets $1040 for fixed expenses $980 for living expenses and $120 for annual expenses his annual net income
sineoko [7]
Let us first find how much he is spending every year, to do this let's find his monthly expense and multiply it by 12.


Every month Cameron spends 1040 + 980 + 120 = 2140

To find out how much he spends yearly, multiply the monthly value by 12,
2140 x 12 = 25680


This value is more than his net income so he clearly has a surplus, but to check we can subtract 129 from every month to get:

(1040 + 980 + 120 - 129) = 2011

2011 x 12 = 24132, which shows that his budget is saving 129 surplus every month. Choice B is correct.
5 0
3 years ago
Read 2 more answers
A cone-shaped pile of sawdust has a base diameter of 38 feet, and is 14 feet tall. Find the volume of the pile
Romashka-Z-Leto [24]

Answer:

Given: Diameter of cone = 38 feet and height of cone = 14 feet.

Volume of cone V with radius r is one-third the area of the base B times the height h.

i,e  V = \frac{1}{3} B \cdot h = \frac{1}{3} \pi r^2h  ......[1]

,where B = \pi r^2

First find the radius(r);

Using Diameter(D) = 2r

38 =2r

Divide both side by 2 we get;

\frac{38}{2} =\frac{2r}{2}

Simplify:

19 = r

or r =19 feet

Now, substitute the value of r = 19 feet and h = 14 feet in [1]    [ Use value of  \pi = \frac{22}{7} ]

then, we have:

V = \frac{1}{3} \pi r^2h = \frac{1}{3} \cdot  \frac{22}{7} \cdot (19)^2 \cdot (14)

or

V = =\frac{1}{3}\cdot 22 \cdot 19 \cdot 19 \cdot  2 = \frac{22 \cdot 19 \cdot 19 \cdot 2}{3}

or

V = \frac{15884}{3} =5,294.66667 ≈ 5,294.67 cubic feet.

therefore, the volume of pile is; ≈ 5,294.67 cubic feet.


4 0
3 years ago
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