0.25(x + 4) - 3 = 28

Answer:

The second number is 90.

Step-by-step explanation:

The first statement isn't at all helpful when you start the problem.  Three numbers add up to 185.  Big deal.  Hold that thought for later.

You need a place to start:  think about some quantity to assign a variable name (letter) to.   Look at the second statement.

The second number is 5 times the first.  If  x  represents the first number, then 5 times that is 5x.  So far, you have this:

x = first number

5x = second number

Next:  The third number is 13 less than the second number.  "13 less than" means to subtract 13 from something.  But what?  The second number.

5x - 13 = third number

Now the first statement is useful.  All three numbers add up to 185.

x + 5x + (5x - 13) = 185

Combine like terms.

11x - 13 = 185

Add 13.

11x = 198

Divide by 11.

x = 18

Wait!  Trick question.  The problem asks for the second number, not the first.

5x = 5(18) = 90

Answer:

Step-by-step explanation:

The scale factor of an enlargement is greater than 1.

The scale factor of a reduction is less than 1.

A scale factor of 1 will produce a congruent figure, one the same size as the original.

_____

A longer way to say it

A figure is enlarged when its dimensions are greater than those of the original. Then the ratio of dimensions will be ...

  (greater than original)/(original) = greater than 1

Similarly, a figure is reduced when its dimensions are less than those of the original:

  (less than original)/(original) = less than 1

Multiplying dimensions by a scale factor of 1 does not change them. The scaled figure is the same size as the original.

The number 1000 represents the amount of trash originally in the landfill.

Given that,

The same amount of trash is dumped into a landfill every day.

The function below shows the total number of tons of trash n in the landfill after x days:

n = 2000x + 1000

We have to determine,

What does the number 1,000 represent?

According to the equation,

The function is,

n = 2000x + 1000

The initial value of a function is defined as the started value of the function independent of any variables present in the function.

Here, n represent the amount of trash and x represents the number of days.

Therefore,

n = 2000x + 1000

In the equation 1000 is the number of days elapsed and 2000 represents the quantity of trash dumped each day.

Hence, The number 1000 represents the amount of trash originally in the landfill.

For more information about Equation refer to the link given below.

https://brainly.com/question/7383794

The correct answer would be A, the amount originally in the landfill.

Answer:

mom will let you know

Step-by-step explanation:

shes gone

Step-by-step explanation:

7x - 3x=5 + 7

we will plus --

10x =12

x=12÷10 or 10 /12

x=12.2

Answer:

$7.50 per hour

Step-by-step explanation:

after 2 hours, she earns $15

after 4 hours, she earns $30

after 8 hours, she ears $60

15/2 = 30/4 = 60/8 = 7.5/1

Answer:

390 inches long

Step-by-step explanation:

The string = x

[tex]\frac{x}{30} = 13[/tex]

[tex]30 (\frac{x}{30} ) = 30(13)[/tex]

    x = 390 inches

Answer:

x-intercept = 3, 0

y-intercept = 0, -4

Step-by-step explanation:

Answer:

48 g - 40 h + 64

Step-by-step explanation:

you take the 8 and multiply it by the numbers that are in the paraentheses. keep the variables the same

The slash is an oblique slanting line punctuation mark /. Once used to mark periods and commas, the slash is now most often used to represent exclusive or inclusive or, division and fractions, and as a date separator.

Answer:

  (a)  Line 1

Step-by-step explanation:

The given point is only a solution to the equation for Line 1. This is shown in the attached graph.

__

You can put those values into each equation to see if it is satisfied.

1: -4 +2 = -2 . . . . this equation is satisfied.

2: 3(-4) -(2) = -14 ≠ 2 . . . . this equation is not satisfied

(-4, 2) is a solution to the Line 1 equation only.

The sum of polynomials involves adding the polynomials

The other polynomial is [tex]y^3 -y^2+ 4y - 1[/tex]

The sum of the polynomials is given as:

[tex]Sum = y^3 + 3y^2 + 4y - 4[/tex]

One of the polynomials is given as:

[tex]P = 4y^2 - 3[/tex]

Represent the other polynomial with Q.

So, we have:

[tex]P +Q =Sum[/tex]

Substitute the expressions for P and Sum

[tex]4y^2 - 3 +Q =y^3 + 3y^2 + 4y - 4[/tex]

Make Q the subject

[tex]Q =y^3 + 3y^2 -4y^2+ 4y - 4 +3[/tex]

Evaluate like terms

[tex]Q =y^3 -y^2+ 4y - 1[/tex]

Hence, the other polynomial is [tex]y^3 -y^2+ 4y - 1[/tex]

Read more about polynomials at:

https://brainly.com/question/1487158

Answer:

45

Step-by-step explanation:

DISCLAMER  THIS IS ONLY FOR POINT THIS IS NOT THE RIGHT ASWEAR

======================================================

Explanation:

There are two approaches.

Method 1)

20% of 40 = 0.20*40 = 8

Since 8 students are participating, this means 40-8 = 32 are not participating.

-----------

Method 2)

20% are participating, so 100% - 20% = 80% are not participating

80% of 40 = 0.80*40 = 32

The data plan that has the cheapest deal is given by the ratio of the data

plan price to the GB allocated.

The given phone data plans are;

[tex]\begin{tabular}{|l|cl|}&Prepaid Single Phone Plan&Prepaid Family Plan\\ a&\$30 for 1 GB &\$30 for 1 GB\\b& \$35 for 6 GB & \$40 for 6 GB\\ c&\$45 for 16 GB&\$50 for 16 GB\\d & \$65 for Unlimited Data & \$70 for Unlimited Data\end{array}\right][/tex]

The price per GB are;

Plan a = $30 ÷ 1 = $30 per GB

Plan b = $35 ÷ 6 = $5.8[tex]\overline 3[/tex] per GB and $40÷ 6 = $6.[tex]\overline 6[/tex] per GB for Family Plan

Plan c = 45 ÷ 16 = $2.8125 per GB and $3.125 per GB

Plan d = $65 for Unlimited Data = 65 ÷ ∞ ≈ 0;  $70 for Unlimited Data = 0

Therefore, the plan with the cheapest price per GB from the given option is option B. Prepaid Single Phone Plan $45 for 16 GB.

Learn more about ratios here:

https://brainly.com/question/10705874

Answer:

33:50

Step-by-step explanation:

if there are 50 donuts that gives you 1 part of your answer. Then you have 33 donuts frosted there the other part. Glad I can help

Answer:

$108.50 for the 30% off an 1 hour and 35 min without the coupon 155 x 0.3 = 46.5. 155-46.5=108.50

Answer:

Step-by-step explanation:

y + y + 1 + y + 2 = 75

3y + 3 = 75

3y = 72

y = 24

y +1 = 25

y + 2 = 26

24 + 25 +26

49 + 26 = 75

Answer: 24, 25, 26

Answer:

what grade are you??.......

It would be √2 x n - 5 = 10.

Answer:

The other small angle is 53.5 degrees

Step-by-step explanation:

We know that a right triangle has to have a 90 degree angle and 2 other small angles.

All triangles when adding up all of their "degrees" has tp equal 180 degrees.

Since we know that there is a 90 degree angle and a 36.5 degree angle.

All we have to do is add 90 plus 36.5, then subtract that sum onto 180.

90 + 36.5 = 126.5

180 - 126.5 = 53.5

So the answer is 53.5 degrees.

Hope this helps! :)

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A right triangle is a triangle in which the angles sum up to 180 degrees. It is made up of three sides : the height, the base and the hypotenuse. One of the angles in a right triangle has a value of 90 degrees.

Missing angle  = sum of angles in a triangle - (sum of the two given angles)

Missing angle = 180 - ( 90 + 36.5)

180 - 126.50

= 53.5 degrees

Please find attached an image of a right triangle. A similar question was answered here: https://brainly.com/question/24353342

Answer:

The lizard is 11.43 centimeters long.

Answer:

25/50 + 13/26

Step-by-step explanation:?????Not sure, please have someone else answer i dont want to be the cause of your incorrect answer:(

Nvm i messed up my math

Answer:

Subtract the sum of the two angles from 180 degrees. The sum of all the angles of a triangle always equals 180 degrees. Write down the difference you found when subtracting the sum of the two angles from 180 degrees. This is the value of X

Step-by-step explanation:

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