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2 years ago

Anthony babysits on the weekend to earn extra cash. He charges an initial fee of $5.00,

Mathematics

1 answer:

77julia77 [94]2 years ago

6 0

Answer:

Step-by-step explanation:

First subtract the fixed fee. 59-5=54

Divide 54 by 9.

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Lady bird [3.3K]

Answer:

18. Commutative property of addition

19. Distributive property

20. Associative property of addition

Step-by-step explanation:

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2 years ago

! et up your proportions) Eduardo counted eight seconds between seeing lightning and hearing thunder, and he knew that the light

vova2212 [387]

Answer:

1 mile away this is right

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2 years ago

A street light is mounted at the top of a 15-ft-tall pole. A man 6 ft tall walks away from the pole with a speed of 4 ft/s along

mina [271]

Answer:

The tip of the man shadow moves at the rate of $\frac{20}{3} ft.sec$

Step-by-step explanation:

Let's draw a figure that describes the given situation.

Let "x" be the distance between the man and the pole and "y" be distance between the pole and man's shadows tip point.

Here it forms two similar triangles.

Let's find the distance "y" using proportion.

From the figure, we can form a proportion.

$\frac{y - x}{y} = \frac{6}{15}$

Cross multiplying, we get

15(y -x) = 6y

15y - 15x = 6y

15y - 6y = 15x

9y = 15x

y = $\frac{15x}{9\\} y = \frac{5x}{3}$

We need to find rate of change of the shadow. So we need to differentiate y with respect to the time (t).

$\frac{dy}{t} = \frac{5}{3} \frac{dx}{dt}$ ----(1)

We are given $\frac{dx}{dt} = 4 ft/sec$ . Plug in the equation (1), we get

$\frac{dy}{dt} = \frac{5}{3} *4 ft/sect\\= \frac{20}{3} ft/sec$

Here the distance between the man and the pole 45 ft does not need because we asked to find the how fast the shadow of the man moves.

7 0

2 years ago

if a bag has 22 orange 18 red and 8 blue marbles what is the probability, that I draw blue marble, keep it, then draw another bl

Genrish500 [490]

Answer:

The probability is 8/48

Step-by-step explanation:

There is a total of 48 marbles and 8 of them are blue.

7 0

2 years ago

The graph of a line passes through the points (0,-2) and (6,0). what is the equation of the line?

nirvana33 [79]

Answer:

y = 1/3x - 2

Step-by-step explanation:

We are asked to find the equation of a line with two points

Step1: find the slope

m = (y_2 - y_1)/(x_2 - x_1)

( 0 , -2) (6 , 0)

x_1 = 0

y_1 = -2

x_2 = 6

y_2 = 0

Insert the values

m = ( 0 - (-2)/ (6 - 0)

m = ( 0 + 2)/(6 - 0)

m = 2/6

m = (2/2)/(6/2)

m = 1/3

Step 2 : substitute m into the equation of line

y = mx + c

y = intercept y

m = slope

x = intercept x

c = intercept

y = 1/3x + c

Step 3: sub any of the two points

Let's pick ( 6 ,0)

x = 6

y = 0

Insert the values into

y = 1/3x + c

0 = 1/3(6) + c

0 = 1*6/3 + c

0 = 6/3 + c

0 = 2 + c

c = 0 - 2

c = -2

Sub c = -2

y = 1/3x - 2

The equation of the line is

y = 1/3x - 2

5 0

3 years ago