Mathematics Middle School

what number is 26.8% of 67.5?
and
325% of what is 78.65?

Answers

Answer 1
Well this is easy, just take the percentage as an actual number and just multiply
26.8% as a number is 0.268 (if you don't know how I got this, just divide that percentage by 100, and a 1.00 is equal to a 100%) and 0.268 * 67.5 is 18.09.
(You can round that)
Now 325% as a number is 3.25 (it's bigger than 100% so its increasing)
3.25 * 78.65 is 255.6125.
Answer 2
1. We assume, that the number 78.65 is 100% - because it's the output value of the task. 
2. We assume, that x is the value we are looking for. 
3. If 78.65 is 100%, so we can write it down as 78.65=100%. 
4. We know, that x is 325% of the output value, so we can write it down as x=325%. 
5. Now we have two simple equations:
1) 78.65=100%
2) x=325%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
78.65/x=100%/325%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 325% of 78.65

78.65/x=100/325
(78.65/x)*x=(100/325)*x       - we multiply both sides of the equation by x
78.65=0.307692307692*x       - we divide both sides of the equation by (0.307692307692) to get x
78.65/0.307692307692=x 
255.6125=x 
x=255.6125

now we have: 
325% of 78.65=255.6125
1. We assume, that the number 67.5 is 100% - because it's the output value of the task. 
2. We assume, that x is the value we are looking for. 
3. If 67.5 is 100%, so we can write it down as 67.5=100%. 
4. We know, that x is 26.8% of the output value, so we can write it down as x=26.8%. 
5. Now we have two simple equations:
1) 67.5=100%
2) x=26.8%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
67.5/x=100%/26.8%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 26.8% of 67.5

67.5/x=100/26.8
(67.5/x)*x=(100/26.8)*x       - we multiply both sides of the equation by x
67.5=3.73134328358*x       - we divide both sides of the equation by (3.73134328358) to get x
67.5/3.73134328358=x 
18.09=x 
x=18.09

now we have: 
26.8% of 67.5=18.09.
Hope this helped

Related Questions

what is 9 hours from now

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4:19 AM is the time.
I got 5:21 AM as the time

If carpeting is sold at $4.50 per yard, what would 5 1/2 yards cost?

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4.50 * 5.5 = 24.75

the answer is $24.75

The point (0, 2) is the only solution to the system of linear equations that contains the equations
y = x + 2 and y = -3x + 2. Choose the term that describes the set of equations.

Answers

Because there is only one solution to this system, this means that the system is consistent and it is independent

----------------------------------------------------

consistent = system has at least one solution

independent = each equation isn't reliant on the other; i.e. one equation doesn't completely overlap the other

Combine the two terms and they help describe any case where two lines cross at exactly one point. These two lines will have different slopes. 

Translate the sentence into an inequality.
The product of y and 8 is greater than or equal to 21.

Answers

" the product " means multiply

8y > = 21 <== ur inequality
your inequality is 8y=21

A football player took forward and backward steps of equal length during the play.After taking 14 steps total , he was back at his starting position. How many steps did the football player take in the forward and backward directions? A.6steps forward and 8 backward B.7 forward 7 backward C.8 forward and 6 backward D.5 forward and 9 backward. I believe its B not sure

Answers

Yes, the answer is B) 7 steps forward and 7 steps back.
7+7=14
Hope this helps, please mark brainliest I am trying to move up a rank.

Answer:

the correct answer is B.

(Brainliest would also help)

;)

Sara used 3/4 pound of blueberries to make 1/2 cup of jam how many pounds of blueberries would she need to. make a cup of jam

Answers

she used 3/4 pound for 1/2 cup

 so multiply 3/4 pounds for 1 cup

3/4 x 2 = 1 1/2 pounds

1 2/4 pounds cause 3/4=1/2cup already she just needed another 3/4

HURRY!!!What is the sum of the measures of the interior angles of a 12-gon?
1. 1620
2. 1800
3. 1980
4. 2160

Answers

If we have n angle the formula for the sum of internal angles is:
sum = 180*(n-2)

in this case n=10,
so the answer will be 180 * 10 = 1800
The answer would be 2). 1,800 degrees..
:)

Solve the equation
-3x+1+10x=x+4

Answers

-3x + 1 + 10x = x + 4
7x + 1 = x + 4
7x - x = 4 - 1
6x = 3
x = 3/6...which reduces to 1/2

Ron paid $799.99 per laptop for three laptops and a flat rate fee for antivirus installation for a total bill of $2,529.57 at Gigahertz Computers. Jerry paid $777.16 per laptop for three laptops plus a per laptop antivirus installation fee for a total bill of $2,481.42 at TechZone Computers. What is the difference in the amounts they paid for the antivirus installation charges?

Answers

Final answer:

To find the difference in the amounts they paid for the antivirus installation charges, we need to subtract the amount Jerry paid from the amount Ron paid. The difference is $751.84.

Explanation:

To find the difference in the amounts they paid for the antivirus installation charges, we need to subtract the amount Jerry paid from the amount Ron paid.

Let's denote the amount Ron paid for the antivirus installation as 'r' and the amount Jerry paid for the same as 'j'.

We can set up the following equation:

r - j = Total bill of Ron - Total bill of Jerry

Substituting the given values, we have:

$799.99 - j = $2529.57 - $2481.42

$799.99 - j = $48.15

Now, we can solve for 'j'.

j = $799.99 - $48.15

j = $751.84

Therefore, the difference in the amounts they paid for the antivirus installation charges is $751.84.



The sum of the components of anything equals the whole thing. Which property/postulate does this statement represent?

Answers

The property that is being described in the statement "The sum of the components of anything equals the whole thing" would be the Partition Postulate. It is simply the whole is equal to the sum of its parts. For instance we have a line where it contains points W, X, Y and Z, then WX + XY + YZ = WZ.

A fabric store has 80 3/8 yards of a particular fabric. About how many pairs of curtains could be made from this fabric if each pair requires 4 1/8 yards of fabric? But My Answers are 20,25,15,and 30 Please Help Me?

Answers

20 because 19 16/33 is the exact answer. Since they ask about how much that can be rounded up to 20

Why is it important to have categories of numbers in to know which category you're doing with the given expression

Answers

A way to categorize information and point you to where to find that information is called the table of contents. It contains the chapters of the topic and its corresponding subtopic. It depends on the length of the topic of that book or section. It is located at the first few pages of the book or other reading material.  

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers. Solve the following quadratic equation. 3(x + 5)2 = 60

Answers

The quadratic equation is 3(x + 5)^2 = 60

You solve it with these steps:

1) divide by 3:

(x + 5) ^2 = 60 /3

(x + 5)^2 = 20

2) extract square root

(x + 5) = +/- √20

3) subtract 5

x = - 5 +/- √20

Solutions: x = - 5 - √20 and x = - 5 + √20


Is 7040 yards more than or less then 4 miles

Answers

Yes. In fact 7040 yards makes 4.000568 miles, which is more than 4 miles. 
✏ Covert 7040 yards to miles. We know there are 1760 yards in a mile. 

✏ 7040 = 4 miles 

So 7040 yards is equal to 4 miles.

Hope that helps! -UF aka Nadia

Evaluate ab for a = 2 3/4 and b = 4/5

Answers

the answer will be 880/20 the simplified that is 44

Which expression is equivalent to 17x − 8x + 2 and why?

2 − 9x, because (17x − 8x) + 2 = −9x + 2 = 2 − 9x

2 + 9x, because (17x − 8x) + 2 = 9x + 2 = 2 + 9x

11x, because 17x − 8x + 2 = 9x + 2 = 11x
7x, because 17x − 8x + 2 = 17x − 10x = 7x

Answers

17x − 8x + 2 = 9x + 2 ...............combine like terms

answer

2 + 9x, because (17x − 8x) + 2 = 9x + 2 = 2 + 9x ............commutative property

Answer:

2 + 9x, beacuse (17x - 8x) + 2 = 9x+2

Step-by-step explanation:

Combine like Terms: 17x - 8x + 2=

                                        9x+2

How to find the y intercept when the slope is a fraction

Answers

The top number is your rise and your bottom number is your run and when you graph all the points on a graph the point that crosses the y-axis is your y-intecept.
The top number will always be your y

ASAPPPP!! Which statement best demonstrates why the following is a non-example of a polynomial? 33 over 16 xy − 62y−2xz − 35z2y2


A.The expression has a variable raised to a negative exponent.
B.The expression has a negative coefficient.
C.The expression has a variable raised to a fraction.
D.The expression has a variable in the denominator of a fraction.

Answers

A polynomial cannot have a variable raised to a negative exponent...so A is ur answer

Simplify negative 6 over 3 divided by 2 over negative 9.

Answers

Final answer:

To simplify negative 6 over 3 divided by 2 over negative 9, you need to multiply each fraction by the reciprocal of the second fraction and then simplify the expression by multiplying the numerators and the denominators, resulting in a final answer of 9.

Explanation:

To simplify negative 6 over 3 divided by 2 over negative 9, we start by multiplying each fraction by the reciprocal of the second fraction. So, the expression becomes:

-6/3 × -9/2

Next, we multiply the numerators and the denominators:

(-6 × -9) / (3 × 2)

Simplifying further, we get: 54 / 6

Finally, we divide 54 by 6 to get the simplified answer: 9

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Answers

It would be this 4.1421 since you divide 15.74 by 3.8 but since you round your answer would be $4.14 each

Evaluate for C=3 and d=-5

(3c^2-3d)^2-1000

Answers

You replace the the variables c and d with 3 and -5 and get an answer of 764. Hope you can understand the work here!

A number is multiplied by 2, and then the product is added to 9. The result is 49.

Answers

In order to solve this problem, use inverse operations.  First subtract 9 from 49 to get 40, then divide 40 by 2 to get 20.  So the original number it all started with was 20.  You can check your work by following the instructions again.  So 20*2=40, and 40+9=49. 

Hope the explanation helped!
so here... 20x2=40+9=49

PLEASE HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
1) A dealer sold 112 cars during the month of May and 96 during the month of June. What was the percentage of the decrease?
2) At an evening performance, 85% of the seats in a movie house was occupied. If 34 people attended this performance, what was the seating capacity of the movie house?
3) A merchant sold articles of clothing at 140% of what he paid for them. What did he pay for an article that he sold for $84?
4) A family spent 486 a week for food. This was 20% of its weekly income. What was its weekly income?
5) An agent sold 250 boxes of apples at $6.50 each. He charged a commission of 5%. What was his commission?
6) At the rate of $0.80 per $100, how much does it cost to insure a car against fire and theft for $1,650?

Answers

1- ((112-96)/112)*100% = 14.286% 
sorry
1- not sure
2- 62 people?
3- I think it would be $33.60, or about $34
4- around $2430
5- not sure
6- not sure

I'm sorry if I wasn't very helpful, but I hope the ones I did understand are right!

What is the equation of the following graph in vertex form? parabolic function going down from the left through the point negative four comma zero and turning at the point negative three comma negative one and going up through the point negative two comma zero and then through the point zero comma eight and continuing up towards infinity

Answers

A parabolic function's key characteristic is either having 2 x-intercepts or 2 y-intercepts. That is the reason why the standard form of parabolic functions are:

(x-h)^2 = +/- 4a(y-k) or (y-k)^2 = +/- 4a(x-h), where

(h,k) is the coordinates of the vertex
4a is the lactus rectum
a is the distance from the focus to the vertex

This is also called vertex form because the vertex (h,k) is grouped according to their variable.
 
Since we don't know any of those parameters, we'll just have to graph the data points given as shown in the picture. From this data alone, we can see that the parabola has two x-intercepts, x=-4 and x=-2. Since it has 2 roots, the parabola is a quadratic equation. Its equation should be

y = (x+4)(x+2)
Expanding the right side
y = x²+4x+2x+8
y = x²+6x+8
Rearrange the equation such that all x terms are on one side of the equation
x²+6x+___=y-8+___
The blank is designated for the missing terms to complete the square. Through completing the squares method, you can express the left side of the equation into (x-h)² form. This is done by taking the middle term, dividing it by two, and squaring it. So, (6/2)²=9. Therefore, you put 9 to the 2 blanks. The equation is unchanged because you add 9 to both sides of the equation.

The final equation is 
x²+6x+9=y-8+9
(x+3)²=y+1

can a vertical line be written in slope intercept form

Answers

no it cannot because the slope of a vertical line is undefined

I have attached my explanation in green for you below.

I have also attached an example above.

f(x) = 7x − 13. Find f−1(x).

Answers

the inverse is when you reflect the function across the identity line, y=x

to find the inverse of a function flip switch all x and y and solve for y, then replace y with f inverse

f(x)=7x-13
y=7x-13
switch
x=7y-13
solve for y
x+13=7y
(x+13)/7=y

f inverse=(x+13)/7

quantity of x plus 13 over 7

help What is the length of the unknown leg in the right triangle?

Answers

73 - 64 = 9
a = square root 9
a = 3

answer
3 ft
Pythagorean Theorem - a^2 + b^2 = c^2

C being the hypotenuse.

a = a

b = 8 ft

c = √73 ft

a^2 + 8^2 = √73^2

a^2 + 64 = 73

a^2 = 9

a = 3

Evaluate ƒ(x) when x = -10

16
No solution
-7
-24

Answers

Hi!

There is no solution, because nobody defined f(x). There isn't enough information to solve the problem. 

If it was f(x) = x + 26, the answer would be 16.

So the answer is no solution.

Hope this helps! :)

Answer:

NO SOLUTION Answer B

A window has the shape of a rectangle with a semi circle at the top. Find the approximate area of the window using the dimensions shown.

2ft by 4ft

Answers

First, let's find the area of the semi-circle.
Area of a circle = π*r²
Looking at the rectangle, the diameter for the circle is 2 ft. Since we need the radius though, divide the diameter by 2 to get the radius.
r = 1
A = π * 1²
A = π * 1
A = π

But since it's a semicircle, you need to divide that area by 2.
3.14/2 = 1.57

The area of the semi-circle is 1.57.

Area of a rectangle = lw
l = 2
w = 4
A = 2 * 4
A = 8

The area of the rectangle is 8.

Now add those together to get the area of the entire figure.

1.57 + 8 = 9.57

The figure is about 9.57 square feet.

The approximate area of the window is 9.57 ft²

The figure is a composite shape. Therefore, the area can be described as follows:

Area of the composite shape:area = area of semi circle + rectangle

area of a rectangle = lw = 4 × 2 = 8 ft²

area of the semi circle = 1 / 2 πr² = 1 / 2 × π × 1² = 1.57 ft²

Therefore,

area of the window = 8 + 1.57 = 9.57 ft²

learn more on area of a composite shape here:https://brainly.com/question/15266169?referrer=searchResults

A cell phone company charges by the minute (and partial minute) for a phone call. Arionna’s plan includes 300 minutes in the $20 base cost. If she uses more than 300 minutes, there is a $5 overage fee and an additional charge of $0.25 per minute. draw a graph to represent it

Answers

24.25l   
     24l    /
23.75l   /
23.50l  /
23.25l/
     20l--------------------
     300, 301, 302, 303, 304, 306
can't really draw on here but hopefully you get The idea

The cell phone charges is an illustration of a piecewise function represented as: y = 20; x <=300 and y =  0.25x- 50; x > 300

How to draw the graph?

When the number of minutes is not more  than 300 minutes, the charge is:

y = 20; x <=300

When it is above 300, the function is:

y = 20 + 5 + (x - 300) * 0.25

Open the bracket

y = 20 + 5 + 0.25x - 75

Evaluate the sum

y =  0.25x- 50

So, the piecewise function is:

y = 20; x <=300

y =  0.25x- 50; x > 300

See attachment for the graph

Read more about piecewise functions at:

https://brainly.com/question/11546494

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