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MrRissso [65]
3 years ago
10

8-2b=-2/3(12b+6) solve

Mathematics
2 answers:
Natalija [7]3 years ago
7 0
We have to mutiply factor -2/3 times every agument from the parenthesis.
8-2b=- \frac{2*12b}{3}- \frac{2*6}{3}   \\ 8-2b= -8b-4 \\     /+8b
8+6b=-4         /-8
6b=-12         /:6
b=-2 - its the answer
pishuonlain [190]3 years ago
6 0
8-2b=-\frac { 2 }{ 3 } \left( 12b+6 \right) \\ \\ 8-2b=-\frac { 2 }{ 3 } \cdot 12b-\frac { 2 }{ 3 } \cdot 6\\ \\ 8-2b=-\frac { 24 }{ 3 } b-\frac { 12 }{ 3 } \\ \\ 8-2b=-8b-4\\ \\ -2b+8b=-4-8\\ \\ 6b=-12\\ \\ b=\frac { \left( -12 \right)  }{ 6 } \\ \\ \therefore \quad b=-2
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Sarah ran 2 miles and Jaime ran 15, 840 feet. How many miles did they run together? (The conversion factor is 5280 feet/mile.)
Korvikt [17]

Answer:

C. 5 miles

Step-by-step explanation:

Since we need to find how many miles they ran together, let us convert feet to miles. Sarah's length is already in miles so we'll leave it that way.

Jaime ran 15840 feet. We are given how many feet are there in one mile (5280), so we need to find how many miles are there in 15840 feet.

x = 15840 / 5280 = 3 miles.

So, Jaime ran 3 miles and Sarah ran 2 miles.

That means that together they ran 3 + 2 = 5 miles.

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3 years ago
Mike took a taxi from his home to the airport. The taxi driver charged an initial fee of $6 plus $3 per mile. The total fare was
barxatty [35]
Hello! To solve this problem, we can write and solve an equation. Set it up like this:

6 + 3m = 24

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3 0
4 years ago
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A ramp leading into a building makes a 15o angle with the ground. the end of the ramp is 10 feet from the base of the building.
Oksanka [162]
We are tasked to solved for the length of the ramp having an inclination of 15 degrees with the ground and 10 feet from the end of the ramp to the base of the building of the ground. Using trigonometric properties, we have a formula given an angle and the its opposite sides which is,
sin(Angle)=opposite/hypothenuse
hypothenuse would be the distance or the length of the ramp.
so we have,
sin(15)=10/hypothenuse
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hypothenuse=10/sin(15)
using scientific calculator having a DEG mode,
hypothenuse=38.63703
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3 years ago
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GaryK [48]

Answer:

120

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4 0
3 years ago
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Write the area A of a square as a function of its perimeter P. ...?
Svetradugi [14.3K]
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The perimeter P of a square is sum of its sides s: P = s + s + s + s = 4s
The area A of a square with side s is: A = s * s  = s²

Step 1: Solve s from the formula for the perimeter.
Step 2: substitute s from the formula for the perimeter into the formula for the area.

Step 1:
P = 4s
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Step 2:
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A = (P/4)²
A = P²/4²
A = P²/16
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3 years ago
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