All categories

3 years ago

107 = 7 - 2(7b - 1) what does b equal?

Mathematics

1 answer:

topjm [15]3 years ago

5 0

107 = 7 -2 (7b - 1)

First, distribute -2 to all terms within the parenthesis

-2(7b - 1) = -14b + 2

107 = 7 -14b + 2

Combine like terms

107 = -14b (+7 + 2)

107 = -14b + 9

Isolate the b. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

Subtract 9 from both sides

107 (-9) = -14b + 9 (-9)

107 - 9 = -14b

98 = -14b

Isolate the b. Divide -14 from both sides

(98)/-14 = (-14b)/-14

98/-14 = b

b = −7

-7 is your answer

hope this helps

You might be interested in

Complete the square to determine the minimum or maximum value of the function defined by the expression.

FrozenT [24]

Answer:

Option D. minimum value at −38

Step-by-step explanation:

we have

$x^{2}-12x-2$

Let

$y=x^{2}-12x-2$

Complete the square

$y+2=x^{2}-12x$

$y+2+36=(x^{2}-12x+36)$

$y+38=(x^{2}-12x+36)$

$y+38=(x-6)^{2}$

$y=(x-6)^{2}-38$ ------> equation of a vertical parabola in vertex form

The vertex is the point $(6,-38)$

The parabola open upward-----> the vertex is a minimum

therefore

minimum value at −38

3 0

3 years ago

2. The following formula relates three quantities: Force (F), mass (m), and acceleration (a).

castortr0y [4]

Let

F--------> represent the force

m--------> represent the mass

a-------> represent the acceleration

we know that

The formula that relates three quantities: Force (F), mass (m), and acceleration (a) is equal to

$F=ma$

Part a) Solve this equation for a

$F=ma$

Divide both sides by the mass

$a=\frac{F}{m}$

therefore

the answer part a) is equal to

$a=\frac{F}{m}$

Part b) Let the force be 25 units and the mass be m = 10 units. What is the acceleration, a?

we know that

the formula of acceleration is equal to

$a=\frac{F}{m}$

in this problem

we have

$F=25\\m=10$

Substitute the values n the formula

$a=\frac{25}{10}$

$a=2.5$

therefore

the answer part b( is equal to

$a=2.5$

Part c) Let the force be F = 25 units and the acceleration be a = 5 units. What is the mass, m?

we know that

$F=ma$

Solve for m

Divide both sides by the acceleration

$m=\frac{F}{a}$

in this problem

we have

$F=25\\a=5$

Substitute the values n the formula

$m=\frac{25}{5}$

$m=5$

therefore

the answer Part c) is

$m=5$

5 0

3 years ago

Read 2 more answers

Please choose the answer that describes the scientific notation for 5,098,000.. A. 5.098 × 75777. B. 5.098 × 108. C. 5.098 × 107

Sidana [21]

Standard form:
5,098,000

Scientific notation.
1) only 1 digit should be before the decimal point.
5.098000

2) only non-zero number must be part of the coefficient. the rest are included in the base of 10.

5.098 x 10^6 Choice D.

Exponent is the number of times the decimal moved from its original placement to its place after the 1st digit.

5 0

3 years ago

Read 2 more answers

Does anyone know the answer to this?

Savatey [412]

Answer:

numbers of tables on the y axis and the money earned on the x axis

Step-by-step explanation:

8 0

3 years ago

help me solve this. If your hair grows 2 cm per month and you don't cut it for 5 years, how many feet and inches will it grow?

Aleksandr [31]