Factor 20r+60t to identify the equivalent expressions.

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:

28 miles

Step-by-step explanation:

subtract the pay to the additional pay

Answer:Not clear

Step-by-step explanation:

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:

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:

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:

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.

Learn more about Equation here:

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Step-by-step explanation:

The function is positive when the graph is over the x-axis, and negative when the graph is under the x-axis.

As we can see from the graph, it has x-intercepts at x = -3 and x = 3.

Since the graph curves upwards, the function is positive in intervals (-∞, -3) U (3, ∞) and negative in the interval (-3, 3).

Answer:

The answer is x>17

Step-by-step explanation:

First subtract 4x from both sides

6x - 8 > 4x + 26

-4x. -4x

2x - 8 > 26

8 is negative so to get rid of it add 8 to -8 and 26

2x - 8 > 26

+8. +8

2x > 34

x needs to be by itself so divide both sides by 2

2x > 34

2. 2

x > 17

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:

Graph.

y=12

x>=0

x<=12

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:

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:

I believe the answer is 0.55

Step-by-step explanation:

divide5/9

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:

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:

10

Step-by-step explanation:

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

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

Answer:

False

Step-by-step explanation:

√10 * 3 = 3√10

√10 * 3 does not equal √30

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:

Multiplying each side by the denominator

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:

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:

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".

For more information about ratios and proportions,

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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:

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:

3.5 miles

Step-by-step explanation:

From the question, we have the following information:

The super speedway at Daytona International Speedway is = 2.5 miles

long

The road course there is = 1.4 times as long as the super speedway.

How long is the road course?

The length of the road course is calculated as:

1.4 × length of the super speedway

1.4 × 2.5 miles

=>3.5 miles

Therefore, length of the road course I s 3.5 miles.

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:m= 2/5

Step-by-step explanation: