Simplify the following expression.

[tex]\displaystyle{\frac{4x+14}{2}\div\frac{4x+14}{x-6}}[/tex]

Answer:

[tex]1\frac{1}{2}\:\mathrm{or\:}1.5\:\mathrm{pounds}[/tex]

Step-by-step explanation:

The current ratio is 3/4 pound of dried apples per 1/2 pound of dried pears. Since the new amount of dried pears is 1 pound or double the initial amount, the new amount of dried apples will be double the initial amount:

[tex]\frac{3}{4}\cdot 2=\frac{6}{4}=\frac{3}{2}=1\frac{1}{2}\:\mathrm{pounds}[/tex].

Answer:

11-n=5

Step-by-step explanation:

Answer:

1/2cup

as if 3and1/2cup is divided into 4people then in every one will get half cup.

Answer:

Each person gets [tex]\frac{7}{8}[/tex] cup of pudding.

Step-by-step explanation:

The problem is essentially asking;

[tex]3\frac{1}{2}[/tex] ÷ 4

(4 because the pudding has to be divided amongst Regina and her 3 friends, hence 4 people)

To divide fractions, first one has to convert from improper fractions to mixed numbers;

[tex]\frac{7}{2}[/tex] ÷ 4

Next, one has to reciprocate the second fraction, since the second number is an integer, one simply has to put the number as the denominator, and set the numerator to 1.

[tex]\frac{7}{2}[/tex] * [tex]\frac{1}{4}[/tex]

Now, one has to perform the multiplication, simply multiply the numerators and denominators together (there is no way of simplifying in this problem);

[tex]\frac{7}{8}[/tex]

Each person gets [tex]\frac{7}{8}[/tex] cup of pudding.

Step-by-step explanation:

Store a must offer 30%

Answer:

y = -2/3x + 4/3

Step-by-step explanation:

If two lines are perpendicular, the product of their slopes is -1

comparing what we have with the general form;

y = mx + b

The slope of the given equation is 3/2

To get the slope of other;

3/2 * m = -1

3m = -2

m = -2/3

So we want to write the point-slope equation

y-y1 = m(x-x1)

y-2 = -2/3(x + 1)

3y - 6 = -2x -2

3y = -2x -2 + 6

3y = -2x + 4

y = -2/3x + 4/3

Answer:

6 packages

Step-by-step explanation:

Since the student needs a total of 3/4 pounds of modeling clay we need to calculate how much is 3/4 of 8 since that is the denominator being used to calculate each individual package of clay. Since 3/4 is equal to 0.75 we can simply multiply this by 8 to calculate the total amount of clay needed.

8 * 0.75 = 6

This means that the student will need 6/8 pounds of clay. Since each package brings 1/8 pounds this means that we would need a total of 6 packages in order to have enough clay.

Answer:

25

Step-by-step explanation:since i helped can i have brainlst please that would be greatly apericated

Answer:

25

Step-by-step explanation:

Answer:

B, C and F

Step-by-step explanation:

Answer:

6 sq. in

Step-by-step explanation:

To find area of triangle: base* height *1/2

height needs to be at a 90 degree angle from the base.

In this example, the base is 3 in, and the height is 4 in.

Plug these two into the equation

3 * 4 * 1/2 = 12 * 0.5 = 6

Answer:

x = 3

Step-by-step explanation:

9x - 27 =?

      +27   +27

9x = 27

divide both sides by 9

x = 3

Hope this Helps!!!

Answer:

Her salary for the month = $7260

Step-by-step explanation:

Amount sold = $62,000

Percentage rate = 3%

Salary from commission rate = Amount sold × Percentage rate

                                                = $62,000 × (3 / 100) = $1860

Total salary = Base salary + Salary from commission rate

                   = $5,400 + $1860

                   = $7260

Therefore, her salary for the month = $7260

Answer:

Step-by-step explanation:

Make a equation like 3m+10=37 and solve for m

Answer:

Elena walked 9 miles, Jada walked 13 miles, and Jin walked 15 miles.

Step-by-step explanation:

If you add the rectangles together, you get 3m + 10 = 37, so m = 9, and from then, you can add the number together to get the answers

Answer:

when you do 15×528 you get 7920 books

Step-by-step explanation:

On the first question, you would want to put the equation together. To find x you will put 2x+6=40. Subtract 6 on both sides and you will find your x value.

Answer:

12

Step-by-step explanation:

i counted 12 units from A to get to B

Answer:

I took the diagnostic and I don't know what it was. I wish they would tell you. But I think 14.

Answer:

Step-by-step explanation:

Si

The measure of the other acute angle in the right triangle is 65 degrees.

In a right triangle, one of the acute angles measures 90 degrees, which is the right angle. The sum of the measures of the two acute angles in a right triangle is always 90 degrees.

Given that one of the acute angles measures 25 degrees, we can find the measure of the other acute angle by subtracting 25 degrees from 90 degrees:

Measure of the other acute angle = 90 degrees - 25 degrees

Measure of the other acute angle = 65 degrees

Therefore, the measure of the other acute angle in the right triangle is 65 degrees.

To know more about acute angle click here:

https://brainly.com/question/9385896

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The question is in Spanish the question in English is :

In a right triangle, one of the acute angles measures 25 degrees. What is the measure of the other angle?

Answer:

7.5 pounds

Step-by-step explanation:

multiply by 3.

3x+3y=30

2x+3y=22.5.

x=7.5.

7.5+2.5=10.

7.5 pounds of walnuts, 2.5 pounds of raisins.

Hope this helps :D

Answer:

i'M bOuTA.. DOIVE

Explanation:

Answer:

y=115x+65

Step-by-step explanation:

He earns $115 per game shows that after getting a signing bonus, that is a constant amount he earn for each game. The slope is 115.

The y-intercept is 65 because after signing, he earns $65 for free.

Hope I helped! Good Luck!

Answer:

4 is the greatest common factor of 12

The equation for best represents y, the total cost of x pounds of lean ground beef is y = 7.25x.

Given that,

Lean ground beef costs $7.25 per pound.

The total cost of x pounds of lean ground beef.

We have to determine,

The equation which represent y.

According to the question,

Lean ground beef costs $7.25 per pound.

The total cost of x pounds of lean ground beef.

The equation for representation the total cost y of x pounds is written as.

Total cost of pounds = Lean ground beef costs $7.25 per pound × cost of x pounds of lean ground beef.

The equation for total cost of y of x pounds,

y = (7.25).(x)

y = 7.25x

Hence, The equation for best represents y, the total cost of x pounds of lean ground beef is y = 7.25x.

For more information about Linear equation click the link given below.

https://brainly.com/question/22272773

Answer:

P=12

Step-by-step explanation:

Answer:

12. 10/3, which simplifies to 3 1/3

13. 5/6

Step-by-step explanation:

Answer:

Step-by-step explanation:

4/3(6y+21)-17=43

move all terms to the left:

4/3(6y+21)-17-(43)=0

Domain of the equation: 3(6y+21)!=0

y∈R

We add all the numbers together, and all the variables

4/3(6y+21)-60=0

You multiply all the terms by the denominator

-60*3(6y+21)+4=0

multiply elements