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skelet666 [1.2K]

3 years ago

15

A cheetah ran 300 ft. in 2.92 seconds. What was the cheetah's average speed in miles per hour? Show your work

1 answer:

vivado [14]3 years ago

5 0

So, the cheetah's speed is 300/2.92 ft/sec

now, to convert it to miles/hr

well, there are 5280 ft in 1mile
and 60 minutes in 1hr
and 60 seconds in 1minute

so $\bf \cfrac{300\ f}{2.92\ s}\cdot \cfrac{1\ mi}{5280\ f}\cdot \cfrac{60\ min}{1\ hr}\cdot \cfrac{60\ sec}{1\ min}\\\\\\ \cfrac{300\cdot 1\cdot 60\cdot 60}{2.92\cdot 5280\cdot 1\cdot 1}\cdot \cfrac{f}{f}\cdot \cfrac{min}{min}\cdot \cfrac{sec}{sec}\cdot \cfrac{mi}{hr}$

simplify away

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3 years ago

Read 2 more answers

Find the scale factor of the smaller figure to the larger figure

guapka [62]

Answer:

#9: 1.2

#10: 1.25

Step-by-step explanation:

To find the scale factor of the smaller figure to the larger figure, we're going to be dividing the measurements of corresponding edges.

$\frac{larger figure}{smaller figure}$

If you wanted to find the scale factor of the larger figure to the smaller figure, you'd do: $\frac{smaller figure}{larger figure}$

Question #9:

Left edges: $\frac{larger figure}{smaller figure}$ ⇒ $\frac{24}{20}$ = 1.2

Bottom edges: $\frac{larger figure}{smaller figure}$ ⇒ $\frac{30}{25}$ = 1.2

<em>(You should get the same number as long as the figures are similar.)</em>

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Question #10:

Bottom edges: $\frac{larger figure}{smaller figure}$ ⇒ $\frac{30}{24}$ = 1.25

<em>(There are no corresponding edges with measurements that we can compare.)</em>

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~Hope this helps!~

4 0

3 years ago

Ellie’s parents travel down to see her and have a look at the property. When they set off, the mileage on the car reads 46,817 a

Nitella [24]

46817-47411=-594
|-594|=594
594 mi

3 0

3 years ago

PLS HELP:( !! What is an equation of the line

pychu [463]

Answer:

$y = \frac{3}{2} x + 8$

Step-by-step explanation:

The given equation is written in the form of y=mx+c (where m is the gradient and c is the y-intercept).

Thus, gradient of given equation= -⅔

The products of the gradient of perpendicular lines is -1.

(Gradient of line)(-⅔)= -1

Gradient of line

$= - 1 \div ( - \frac{2}{3} ) \\ = \frac{3}{2}$

Hence, m= $\frac{3}{2}$ .

Subst. m= $\frac{3}{2}$ into the equation:

$y = \frac{3}{2} x + c$

To find the value of c, substitute a pair of coordinates into the equation:

When x= -4, y= 2,

$2 = \frac{3}{2} ( - 4) + c \\ 2 = - 6 + c \\ c = 2 + 6 \\ c = 8$

Thus, the equation of the line is $y = \frac{3}{2} x + 8$ .

3 0

3 years ago

Read 2 more answers

At a concession stand, three hot dog(s) and two hamburger(s) cost $8.00; two hot dog(s) and three hamburger(s) cost $8.25. F

qaws [65]

Answer:

$1.5

Step-by-step explanation:

Solve by graphing the system of equations where x = the number of hot dogs and y = the number of hamburgers

> 3x + 2y = 8

> 2x + 3y = 8.25

The solution is (1.5, 1.75)

-- Check attachment for graph

5 0

3 years ago