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4 years ago

The stopping distance d of an automobile is directly proportional to the square of its speed s.

Mathematics

1 answer:

IRINA_888 [86]4 years ago

3 0

Answer:

192 feet is the stopping distance at 48 mph.

Step-by-step explanation:

Set up the proportion $\frac{x}{75} =\frac{48^{2} }{30^{2} }$

x/75 = 2304/900 cross multiply to get 900x = 172800

172800 ÷ 900 = 192

x = 192

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Nicole the trainer has two solo workout plans that she offers her clients: Plan A and Plan B. Each client does either one or the

frosja888 [35]

I have a feeling I've seen this question before
anyway

A=number of hours that plan A is
B=number of hours that plan B is

so

on wednesday, 7hr
5A and 6B so
5A+6B=7

on thursday, 3 hours
3 of A and 2 of B
3A+2B=3

so we gots

5A+6B=7
3A+2B=3

elimination
eliminate B's
multiply 2nd equation by -3 and add to 1st equation

5A+6B=7
-9A-6B=-9 +
-4A+0B=-2

-4A=-2
divide both sides by -4
A=1/2
A=0.5

sub back

3A+2B=3
3(0.5)+2B=3
1.5+2B=3
minus 1.5 both sides
2B=1.5
divide by 2 both sides
B=0.75

plan A lasts 1/2 hour or 0.5 hour or 30 mins
plan B lasts 3/4 hour or 0.75 hour or 45 mins

8 0

3 years ago

Read 2 more answers

Substitute the original value of x to check that the equation is correct. x = 4 or f(x)= ?

hichkok12 [17]

Answer:

f(4)

Step-by-step explanation:

7 0

3 years ago

PLEASE HELP ME SOLVE WILL MARK AS BRAINLIEST IF ANSWERED CORRECTLY AMND SERIOUSLY

noname [10]

We can simplify this equation and find the value of k.

k ÷ 2 + 1 - 1k = -2k
k ÷ 2 + 1 = -k
k + 1 = -2k
1 = -3k
k = -1/3

6 0

3 years ago

Read 2 more answers

6 × 4 grid is divided into unit squares, Find the number of squares, of any size, in the grid.

yawa3891 [41]

Answer:

Step-by-step explanation:

5 0

3 years ago

A small box of cereal contains 10 cups of cereal. A medium box of the same cereal contains 30% more cereal than the small box. H

mario62 [17]

Answer:

13 cups

Step-by-step explanation:

If the small box has 10 cups, then:

(small) 10 cups = 100%

(medium) x cups = 130%

Now, cross multiply:

10 (130) = x (100)

1300 = 100x

x = 13

Another way to solve this is by turning 30% into a decimal:

30/100 = 0.3

10 (0.3) = 3

Now you have 30% of the 10 cups, but you need 30% more than the small box, so:

10 + 3 = 13 cups

6 0

3 years ago