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MrRissso [65]
2 years ago
5

A lion runs at a speed of 50 mph and a cheetah runs 78 mph. If they both run at a steady rate, how far will a cheetah run in the

time it takes a lion to run 13.75 miles?
Mathematics
2 answers:
Elden [556K]2 years ago
7 0

Answer:

21.45 mi

Step-by-step explanation:

Distance = speed × time

The time it takes the lion is:

13.75 mi = 50 mi/hr × t

t = 0.275 hr

The distance ran by the cheetah in that time is:

d = 78 mi/hr × 0.275 hr

d = 21.45 mi

Korvikt [17]2 years ago
3 0

Answer:

21.45 miles

Step-by-step explanation:

First, let's find the main ratio:

50:78

Now, let's bring a variable into the equation.

13.75:x

We can find the number to multiply by dividing 13.75 by 50 using long division.

13.75÷50=0.275

We need to find how many miles the cheetah ran, so we will multiply 78 and 0.275.

78·0.275=21.45

So, the cheetah ran 21.45 miles in the time it took the lion to run 13.75 miles.

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What is the perpendicular slope to 6/-3
IRISSAK [1]

Answer:

Perpendicular slope is \frac{3}{6} or \frac{1}{2}.

Step-by-step explanation:

Given:

Let the perpendicular slope be x.

The given slope is \frac{6}{-3}

For perpendicular slopes, the product of the slopes is equal to -1.

Therefore, x\times \frac{6}{-3}=-1\\-\frac{6}{3}x=-1\\6x=3\\x=\frac{3}{6}=\frac{1}{2}

Therefore, the perpendicular slope is \frac{3}{6} or \frac{1}{2}.

8 0
3 years ago
A farmhouse shelters 16 animals, some are pigs, and some are ducks. Altogether there are 42 legs. How many pigs are there?
zalisa [80]

Answer:

5 pigs

Step-by-step explanation:

A farmhouse shelters 16 animals, some are pigs, and some are ducks. Altogether there are 42 legs. How many pigs are there?

Let us represent:

Number of pigs = x

Number of ducks = y

Our system of equations is given as:

A farmhouse shelters 16 animals, some are pigs, and some are ducks.

x + y = 16...... Equation 1

x = 16 - y

Altogether there are 42 legs.

Ducks have 2 legs(feet) , pigs have 4 legs,

4x + 2y = 42..... Equation 2

We substitute

16 - y for x in Equation 2

Hence:

4(16 - y) + 2y = 42

64 - 4y + 2y = 42

Collect like terms

- 4y + 2y = 42 - 64

-2y =- 22

y = -22/-2

y = 11 ducks

Solving for x.

x = 16 - y

x = 16 - 11

x = 5 pigs

Therefore, we have 5 pigs

7 0
2 years ago
If there are four quarters in a dollar, which expression correctly shows how you might figure out how many quarters are in $9.25
xxMikexx [17]

Answer:

37

Step-by-step explanation:

4(9) + 1 = 37

7 0
2 years ago
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If A denotes some​ event, what does Upper A overbar ​denote? If ​P(A)equals0.999​, what is the value of ​P(Upper A overbar​)? Wh
meriva

Answer:

<h3>The event P(\overline{A}) denotes the complement of event A.</h3><h3>The value of P(\overline{A}) is 0.001</h3>

Step-by-step explanation:

Given that A denotes some event .

And also given that P(A)=0.999

<h3>To find the value of P(\overline{A}) :</h3>

Here the event P(\overline{A}) denotes the complement of event A Therefore P(\overline{A}) contains all the events that does not occur in A.

We know that the total probability is 1

So we have that

P(A)+P(\overline{A})=1

P(\overline{A})=1 -P(A)

=1-0.999

=0.001

Hence the complement of event A is P(\overline{A})=0.001

<h3>Therefore the value is P(\overline{A})=0.001</h3>

6 0
2 years ago
Name a pair of Alternate Exterior Angles
pogonyaev

Answer:

M, Z

O, X

P, W

N, Y

Step-by-step explanation:

They are all Alternate Exterior Angles.

<em>Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Have a great day!</em>

4 0
2 years ago
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