Which of the angles in the figure are supplementary to 7?

In Springfield, a specific town in the US, 6 women and 25 men earned bachelor degrees in 2000. In 2010, however, 391 women and 4

Vladimir79 [104]

Answer:

See below

Step-by-step explanation:

For women, the initial number is 6, constant rate of change is w, number of years is x.

Find the rate of change and work out the required formula:

10w + 6 = 391 ⇒ 10w = 385 ⇒ w = 38.5

Formula:

W(x) = 38.5x + 6

Similarly for men, we get:

10m + 25 = 410 ⇒ 10m = 385 ⇒ m = 38.5

Formula:

M(x) = 38.5x + 25

7 0

3 years ago

PLZ HELP URGENT!!!!!!!

GrogVix [38]

Answer:

t=1

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

a counterclockwise rotation of 120° followed by a counterclockwise rotation of 40° around the same center of rotation

lesya692 [45]

Answer:

Counterclockwise 160°? I don't know what is being asked, but that's the total.

6 0

4 years ago

HELP 6TH GRADE MATH Enter the phrase as an algebraic expression. The product of 54 and c

Nutka1998 [239]

Answer:

54c

Step-by-step explanation:

The word "product" means that the operation is multiplication. So the two numbers need to be multiplied. In algebra, the way you multiply a constant and a variable is simply by putting the two next to each other with no other symbol.

5 0

3 years ago

Read 2 more answers

this is formula manipulation, I'd appreciate if the steps were provided. only respond if you know how to get the answer, thank y

marissa [1.9K]

Answer:

r = 3V/(2πh²)
h = 3V/b²
r = 25/π cm ≈ 7.9577 cm
w = 15 cm

Step-by-step explanation:

1. Multiply both sides of the equation by the reciprocal of the coefficient of r.

$V\cdot\dfrac{3}{2\pi h^2}=r\\\\r=\dfrac{3V}{2\pi h^2}$

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2. Multiply both sides of the equation by the reciprocal of the coefficient of h.

$V\cdot\dfrac{3}{b^2}=h\\\\h=\dfrac{3V}{b^2}$

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3. Solve the circumference formula for r, then substitute the given information.

$C=2\pi r\\\\r=\dfrac{C}{2\pi}\qquad\text{divide by the coefficient of r}\\\\r=\dfrac{50\,\text{cm}}{2\pi}=\dfrac{25}{\pi}\,\text{cm}\approx 7.9577\,\text{cm}$

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4. Solve the perimeter formula for width, the substitute the given information and do the arithmetic.

$P=2(L+W)\\\\\dfrac{P}{2}=L+W\qquad\text{divide by 2}\\\\\dfrac{P}{2}-L=W\qquad\text{subtract L}\\\\\dfrac{40\,\text{cm}}{2}-5\,\text{cm}=W=15\,\text{cm}$

_____

In general, solving for a particular variable involves "undoing" what has been done to the variable, usually in the reverse order. In part 4, the variable W has L added and the sum is multiplied by 2. We "undo" those operations, last operation first, by dividing by 2 and subtracting L.

The properties of equality say you can do what you like to an equation as long as you do the same thing to both sides of the equation. So, when we say "divide by 2", we mean "divide both sides of the equation by 2." Likewise, "subtract L" means "subtract L from both sides of the equation."

4 0

3 years ago