Christian's car used 15 gallons to travel 270 miles. How far can he travel on 11 gallons? helps

Answer:

It would be 3/4=9/12

Step-by-step explanation:

The proportion relationship of the given ratios is 3/4= 9/12 thus option (B) is correct.

The ratio is the division of the two numbers.

For example, a/b, where a will be the numerator and b will be the denominator.

Proportion is the relation of a variable with another. It could be direct or inverse.

As per the given,

In the fractions, 3/4

Multiply by 3 on the numerator and denominator.

3/4 x 3/3 = 9/12

3/4 x constant = 9/12

Remove constant.

3/4 ∝ 9/12

Hence "The proportion relationship of the given ratios is 3/4= 9/12".

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Answer:

9 hours

Step-by-step explanation:

if they came in at 7:30 a.m and leaves at 11:45 a.m they have been there for 4 hours and 15 minutes.

If they arrive at 12:30 p.m and leave at 5:15 p.m they have been there for 4 hours and 45 minutes

so in total they have been there for 9 hours

Answer:

33.33

Step-by-step explanation:

60% of 33.33 is 20. 100% of 33.33 is 33.33, therefore 60 percent of 33.33 equals 20.

Answer:

[tex] \huge{ \boxed{ \tt{33.33}}}[/tex]

Step-by-step explanation:

[tex] \star{ \: \sf{ \: Suppose, \: the \: number \: be \: x}}[/tex]

[tex] \star \: \sf \: Create \: an \: equation \: and \: solve \: for \: x[/tex]

[tex] \underline{ \underline{ \mathfrak{lets \: solve}}} : [/tex]

[tex] \sf{ \: 60\% \: \: of \: \: x \: = 20}[/tex]

[tex] \text{Step \: 1} : \sf{ \: Convert \: percentage \: ( \%) \: into \: fraction}[/tex]

[tex] \sf{To \: do \: so, \: Divide \: it \: by \: 100 \: and \: remove \: the \: \% \: symbol. \: }[/tex]

[tex] \sf{Then, \: Simplify \: the \: fraction \: to \: its \: lowest \: term.}[/tex]

[tex] \hookrightarrow{ \sf{ \frac{60}{100} x = 20}}[/tex]

[tex] \hookrightarrow{ \sf{ \frac{ \cancel{60} ^{ \: \: 3} }{ \cancel{100} \: ^{ \: 5} } x = 20}}[/tex]

[tex] \hookrightarrow{ \sf{ \frac{3}{5}x = 20}} [/tex]

[tex] \hookrightarrow{ \sf{0.6x = 20}}[/tex]

[tex] \text{Step \: 2} : \sf{Divide \: both \: sides \: by \: 0.6}[/tex]

[tex] \hookrightarrow{ \sf{ \frac{0.6x}{0.6} = \frac{20}{0.6}}} [/tex]

[tex] \text{Step \: 3} : \sf{Calculate}[/tex]

[tex] \hookrightarrow{ \sf{x = 33.33}}[/tex]

The required number is 33.33

Hope I helped!

Best regards! :D

~[tex] \sf{TheAnimeGirl} [/tex]

Answer:Not clear

Step-by-step explanation:

Answer:

532$

Step-by-step explanation:

14% of 600 is 84 $

14% of 1200 is 168$

140 per day and there is 2 days so 140x2

add them all up and you get 532

Answer:

0.8

Step-by-step explanation:

24 divided by 30 = 0.8

That is 80% of the days.

As a decimal though, it is 0.8.

Hope this helps!

Answer:

I believe the answer is 0.55

Step-by-step explanation:

divide5/9

Answer:

B

x = -17

Step-by-step explanation:

so essentially what it is saying is that x = -2

SO

3(-2) - 11

-6 - 11

-17

Answer:

12 hours

Step-by-step explanation:

126 dollars / 7 hours of work = 18 dollars per hour (Pretty neat honestly)

So she made 216 dollars / x = 18 dollars per hour

18x=216 (cross multiply)

216/18 = 12 hours of work

Answer: 12 hours

Step-by-step explanation:

It takes her 7 hours to make $126 dollars and we need to find out how many hours(a) to make $216

So this is the equation

7 hours= 126 dollars

a hours= 216 dollars

Cross multiply

126 x a = 7 x 216

126a = 1512

Divide both sides by 126

a= 12 hours

~~~Inuola1234

Answer:

s=9

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    2*(4*s-16)-5*s-(-5)=0

Pull out like factors :

  4s - 16  =   4 • (s - 4)

Pull out like factors :

  3s - 27  =   3 • (s - 9)

3 • (s - 9)  = 0

Solve  :    s-9 = 0

Add  9  to both sides of the equation :

                     s = 9

Idk if this is confusing but I know the answer.

Answer:

The answer is B

Step-by-step explanation:

You would plug in 1 wherever there is an x in the equation

Answer:

Step-by-step explanation:

the product of two and a number x is 2•x

so the sum of seven and the product of two and a number x is:

7 + 2x

Answer:

1. [tex]N=120[/tex]

2. [tex]n=2[/tex]

3. [tex]N=66[/tex]

4. [tex]n=5[/tex]

5. [tex]N=21[/tex]

6. [tex]n=20[/tex]

7. [tex]n=1398[/tex]

8. [tex]n=5[/tex]

Step-by-step explanation:

1.

[tex]N-80=40[/tex]

[tex]N=40+80[/tex]

[tex]N=120[/tex]

2.

[tex]15n=30[/tex]

[tex]\dfrac{15n}{15}=\dfrac{30}{15}[/tex]

[tex]n=2[/tex]

3.

[tex]N+284=350[/tex]

[tex]N=350-284[/tex]

[tex]N=66[/tex]

4.

[tex]6+9=3\times n[/tex]

[tex]15=3n[/tex]

[tex]\dfrac{15}{3}=n[/tex]

[tex]n=5[/tex]

5.

[tex]\dfrac{N}{3}=6+1[/tex]

[tex]\dfrac{N}{3}=7[/tex]

[tex]N=7\times 3[/tex]

[tex]N=21[/tex]

6.

[tex]12-8=\dfrac{n}{5}[/tex]

[tex]4=\dfrac{n}{5}[/tex]

[tex]4\times 5=n[/tex]

[tex]n=20[/tex]

7.

[tex]58\times 6=n-(723 + 327)[/tex]

[tex]348=n-1050[/tex]

[tex]348+1050=n[/tex]

[tex]1398=n[/tex]

8.

[tex]4n+12=(7+9)\times 2[/tex]

[tex]4n+12=16\times 2[/tex]

[tex]4n+12=32[/tex]

[tex]4n=32-12[/tex]

[tex]4n=20[/tex]

[tex]n=\dfrac{20}{4}[/tex]

[tex]n=5[/tex]

Therefore, the solutions are 1. [tex]N=120[/tex]

2. [tex]n=2[/tex]

3. [tex]N=66[/tex]

4. [tex]n=5[/tex]

5. [tex]N=21[/tex]

6. [tex]n=20[/tex]

7. [tex]n=1398[/tex]

8. [tex]n=5[/tex]

Answer:

HE IS RIGHT

Step-by-step explanation:

Answer:

A fraction between that is 2311/3740

Step-by-step explanation:

This is because the denominator is simplified into one number and the fraction is taken from there.

2311/3740

34 = 2×17

55 = 5×11

LCM = 2×5×11×17 = 1870

⁵⁵⁾21/34 = ²⁾1155/1870 = 2310/3740

³⁴⁾34/55 = ²⁾1156/1870 = 2312/3740

2310/3740 < 2311/3740 < 2312/3740

Answer:

False

Step-by-step explanation:

√10 * 3 = 3√10

√10 * 3 does not equal √30

Answer:

Karla will spend $60 on grapes.

Step-by-step explanation:

Answer:Karla is making fresh grape jelly. She buys 18.7 pounds of grapes.

Estimate the total cost.

$2.78(18.7)

Karla will spend about

$60

on grapes.

Step-by-step explanation:i did the test

Answer:

$210

Step-by-step explanation:

30*7= 210

Answer: $210

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

a^2 + b^2 = c^2 (Pythagorean Theorem)

The length is 8(a)

The width is 6(b)

C is the unknown

8^2+6^2 = 100

then you need to square root the 100

[tex]\sqrt{100} = 10[/tex]

Answer:

Y=-7

Step-by-step explanation:

The solution to the equation -3y = 21 is y = -7.

To solve the equation -3y = 21 using inverse operations, we want to isolate the variable y by performing the inverse operation.

Now, the inverse operation of multiplication by -3 is division by -3.

By dividing both sides of the equation by -3, we can isolate y.

Let's perform the inverse operation:

(-3y) / -3 = 21 / -3

y = -7

Therefore, the solution to the equation -3y = 21 is y = -7.

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Answer:

13- A 14-B

Step-by-step explanation:

You take the formula (x1+x2/2, y1+y2/2) and plug in accordingly. For instance, when you plug the values in for 13, you would get:

x1+-9/2, y1+7/2= -8,2

All you have to do from there is a simple guess and check or plug in each number from the multiple answer choices you have. You should then get A (-7,-3) Do the same with 14, in which you should get B (11,-20)

Sorry for taking so long to answer but hope this kind of helps.

Answer:m= 2/5

Step-by-step explanation:

Answer:3

Step-by-step explanation:5(x-2) +2x=11

5x-10+2x=11

7x-10=11

7x=21

X=3

Answer:

Multiplying each side by the denominator

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

Note the relation between x and y

The values of y are 2 less than the corresponding values of x, that is

x = - 3 → y = - 3 - 2 = - 5

x = 0 → y = 0 - 2 = - 2

x = 1 → y = 1 - 2 = - 1

x = 5 → y = 5 - 2 = 3

Thus

x = 9 → y = 9 - 2 = 7 ← missing value

Answer:

10

Step-by-step explanation:

f(x) =3x-x=2x,

f(7-2)=f(5)= 2*5=10

Answer:

1. True 2. False 3. True 4. True

Step-by-step explanation:

Answer:

You are right

Step-by-step explanation:

You are right

Answer:

x + 11

Step-by-step explanation:

Substitution!

Since you're trying to find f(x+10), you would replace each x in the equation (in this case only one) with x+10.

So instead of

[tex]x+1[/tex]

it would be

[tex](x+10)+1 = x + 10 + 1 = x + 11[/tex]

Answer:

45 miles per hour

Step-by-step explanation:

Mary drove 4 hours to reach her camping spot. Driving home, she increased her speed by 15 miles per hour, reducing her travel time by 1 hour. How fast did she drive going to the camping spot?

d = rt

Where,

d = distance

r = rate of speed

t = time

Going to the camping spot

d=rt

Where, t = 4 hours

d = r × 4

d = 4r (1)

Driving home

She reduced her travel time by 1 hour

That is t = 4 -1 = 3 hours

Then increased speed by 15 miles per hour

That is r = r + 15

d=rt

d = (r+15) × 3

d = 3r + 45 (2)

Equating the two equations

4r = 3r + 45

Collecting like terms

4r - 3r = 45

r = 45

r = 45 miles per hour

check:

d = 4r

d = 45*4

=180 miles

d = 3r + 45

d = 3*45 + 45

= 135 + 45

=180 miles

Answer:

Explanation:

There is a theorem in geometry that says:

In a circle, if two chords are equal in measure, then their corresponding minor arcs are equal in measure.

Those small tick marks on each of the chords means that they are equal in measure. So, following the theorem, the arcs are also equal in measure.

If they are equal and

arc AB = arc CB

arc AB = 24 feet

Then

arc CB = 24 feet

by substitution.