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2 years ago

13

Mary earns $277.30 tutoring. If she works for 23.5 hours, how much money does

1 answer:

PIT_PIT [208]2 years ago

3 0

Answer: $16.06 (rounded to nearest cent)

Step-by-step explanation:

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A circle is defined by the equation x2 + y2 – x – 2y – = 0. What are the coordinates for the center of the circle and the length

madreJ [45]

X^2 + y^2 - x - 2*y = 0
To find both coordinates and radius we need to make this equation in circle form:
(x-a)^2 + (y-b)^2 = r^2

x^2 - 2*1/2*x + 1/4 - 1/4 + y^2 - 2*1*y + 1 - 1 = 0
Here we are adding and subtracting numbers in order to get square binomial.
(x - 1/2)^2 + (y-1)^2 = 5/4

coordinates of center are (1/2,1) and the radius is √ $\frac{5}{4}$

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3 years ago

Read 2 more answers

Graph the given function f(x)=(1/2)^x with work

tia_tia [17]

Graph made up for the given function f(x)=(1/2)^x

8 0

3 years ago

xz_007 [3.2K]

Answer:

1) $n = 84$

2) $n = 78$

3) $n = 24$

4) $n = 16$

5) $n = 35$

Step-by-step explanation:

To solve each proportion, we apply cross multiplication.

Question 1:

$\frac{5}{12} = \frac{35}{n}$

$5n = 35*12$

Simplifying both sides by 5

$n = 7*12 = 84$

Question 2:

$\frac{n}{52} = \frac{180}{120}$

$120n = 52*180$

Simplifying both sides by 20

$6n = 52*9$

Simplifying by 3

$2n = 52*3$

Simplifying by 2

$n = 26*3 = 78$

Question 3:

$\frac{18}{n} = \frac{21}{28}$

$21n = 18*28$

Simplifying both sides by 7

$3n = 18*4$

Simplifying both sides by 3

$n = 6*4 = 24$

Question 4:

$\frac{n}{4} = \frac{24}{6}$

$\frac{n}{4} = 4$

$n = 16$

Question 5:

$\frac{10}{16} = \frac{n}{56}$

$16n = 56*10$

Simplifying by 2, both sides

$8n = 56*5$

Simplifying by 8, both sides

$n = 7*5 = 35$

4 0

3 years ago

at maximum speed, an airplane travels 1720 miles against th wind in 5 hours. Flying with the wind, the plane can travel the same

iragen [17]

Answer:

x = 387

Step-by-step explanation:

The wind acts in the opposite direction to the plane when the time is longer.

The wind acts in the same direction as the plane when the time is shorter.

Equation

d = r*t

Givens

d = 1720
x = plane's speed
y = wind speed
t1 = 5 hours
t2 = 4 hours.

Substitution

d = (x + y) * t
1720 = (x + y) * 4
1720 = (x - y) * 5

Since the two distances are the same, you can equate the right hand sides.

(x + y) * 4 = (x - y)*5 Remove the brackets.
4x + 4y = 5x - 5y Add 5y to both sides
4x + 4y + 5y = 5x - 5y + 5y Combine all the terms.
4x + 9y = 5x Subtract 4x from both sides
9y + 4x - 4x = 5x - 4x Combine
9y = x

Now use one of the given equations with the distance

1720 = (x + y)*4 Substitute 9y for x
1720 = (9y + y) * 4 Combine
1720 = 10y * 4 Multiply the right
1720 = 40y Divide by 40
1720/40 = 40y/40 Do the division
43 = y y = wind speek
9y = x x = 9*y
9*43 = x
x = 387 miles per hour.

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3 years ago

Which function is best represented by this graph

zavuch27 [327]

Answer:the potato is ugly

Step-by-step explanation:because it has marks

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3 years ago