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xz_007 [3.2K]
3 years ago
10

WILL MARK BRAINLIEST!! 5 POINTS!!

Mathematics
2 answers:
xenn [34]3 years ago
8 0

Answer:

C)3520 ft/min

Step-by-step explanation:

Hello, I think I can help you with this.

to solve this, you must know the equivalences

1 mile = 5280 feet

1 hour = 60 min

Hence

\frac{1\ mile}{5280\ ft}=\frac{5280\ ft}{1\ mile}=1\\ \frac{1\ hour}{60\ min}=\frac{60\ min}{1\ hour}=1\\

Step 1

convert mph into fpm

The simplest way to converts units is to multiply by an equivalent fraction in such a way that the old unit is eliminated and is in terms of the new one, the quantity is not altered because it is being multiplied by 1, only the unit is changed.

Let

v=40\frac{miles}{hour}*\frac{5280\ ft}{1\ miles}*\frac{1\ hour}{60\ minutes} \\v=\frac{40*5280}{60} \frac{ft}{minutes} \\v=3520\ \frac{ft}{min}\\

C)3520 ft/min

I hope it helps, have a great day.

Anton [14]3 years ago
5 0
The speed of the car per minute is 3,520 feet (choice c). This is because in order to solve the problem, you have to convert 40 mi/h into feet. Since there are 5,280 feet per mile, you have to do 5,280 x 40, which is 211,200, which is the number of feet per hour. But, the question is asking for ft/min. There are 60 minutes in an hour, so you divide 211,200 by 60, which is 3,520. So, the speed of the car per minute is 3,520 feet.
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the ratio of cats to dogs is 5 to 4 if there are a total of 63 cats and dogs how many dogs are there and how many cats ate there
Illusion [34]

Answer:

Number of cats is (5/9)(63) = 35, and number of dogs is (4/9)(63) = 28

Step-by-step explanation:

The given ratio is 5 to 4.  Sum these up, obtaining 9.  Then (5/9) of the whole represents the number of cats, and (4/9) of the whole represents the number of dogs.

Number of cats is (5/9)(63) = 35, and

number of dogs is (4/9)(63) = 28

As a check:  35 + 28 = 63.

7 0
3 years ago
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A surgical procedure requires choosing among four alternative methodologies. The first can result in five possible outcomes, the
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Answer:

15 possible outcomes

Step-by-step explanation:

Since each one of these methodologies are not related to one another and they do not need to be chosen in any order or consecutively then the possible outcomes would only need to be added all together to calculate the total possible outcomes. Since each outcome is independent. Therefore,

m1 = 5 outcomes

m2 = 2 outcomes

m3 = 4 outcomes

m4 = 4 outcomes

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4 0
3 years ago
Determine how much money you will have after 20 years if you invest 20,000$ at 8%, compounded continuously?
Westkost [7]
20 000 * 0.08(8%)= 1600
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3 years ago
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A small box measures 4 in.by 3in. by 3/4 in. high. Find the volume of the box
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Answer:

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Step-by-step explanation:

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3 years ago
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Find the x-intercepts of the parabola with
12345 [234]

Answer:

x-intercepts are (0, 0) and (-6, 0)

Step-by-step explanation:

equation of a parabola in vertex form:  y = a(x - h)² + k

where (h, k) is the vertex

Substituting the given vertex (-3, -18) into the equation:

y = a(x + 3)² - 18

If the y-intercept is (0, 0) then substitute x=0 and y=0 into the equation and solve for a:

0 = a(0 + 3)² - 18

⇒ 0 = a(3)² - 18

⇒ 0 = 9a - 18

⇒ 9a = 18

⇒ a = 2

Therefore, y = 2(x + 3)² - 18

To find the x-intercepts, set the equation to 0 and solve for x:

                                 2(x + 3)² - 18 = 0

Add 18 to both sides:     2(x + 3)² = 18

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Square root both sides:      x + 3 = ±3

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so x = 3 - 3 = 0  

and  x = -3 - 3 = -6

So x-intercepts are (0, 0) and (-6, 0)

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2 years ago
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