Find the coordinates of the midpoint of GH with endpoints G (-7,3) and H (5,9).

Answer:

Amount of Increase:

106-100= 6

Percent Increase:

6 divided by 100 , 0,06, and 6

Step-by-step explanation:

I couldnt put a division sign so i jsut but the word and yea hope that helps

The percent increases for the given quantities are 6%, 60%, and 12% respectively. To find these, subtract the original quantity from the new quantity to find the amount of increase, then divide this by the original quantity and multiply by 100.

In order to find the percent increase, you can follow this formula:

Now, let's solve the questions :

a. Original Quantity: 100, New Quantity: 106

Amount of increase = 106 - 100 = 6

Percent increase = (6/100)*100 = 6%

b. Original Quantity: 10, New Quantity: 16

Amount of increase = 16 - 10 = 6

Percent increase = (6/10)*100 = 60%

c. Original Quantity: 50, New Quantity: 56

Amount of increase = 56 - 50 = 6

Percent increase = (6/50)*100 = 12%

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Answer:

The slope is 4/11 y-intercept is -52/11

y = 4/11x + -52/11

Step-by-step explanation:

48 grams of water is added to the syrup solution.

It represents the x value of something out of 100 is called percentage.

Given

32 gram of a 25% sugar syrup.

To find

How much pure water should she add to have a 10% syrup?

Let x gram of water is added.

25% + 0% = 10%

(32)g   (x)g  (x+32)g

Now we create the equation.

[tex]\begin{aligned} (0.25*32) + (0*x) &= [(x+32)*0.1]\\8 + 0 &= 0.1x + 3.2\\8 - 3.2 &= 0.1x\\4.8 &= 0.1x\\x &= \dfrac{4.8}{0.1} \\x &= 48\\\end{aligned}[/tex]

Thus, 48 grams of water is added to the syrup solution.

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The expression 12 + 3 + 5 + 6 is rewrite as 26. The original problem will be 26.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Pilar wanted to use estimation to solve a decimal addition problem.

She correctly used estimation to rewrite the problem as 12 + 3 + 5 + 6.

Then the original problem will be

⇒ 12 + 3 + 5 + 6

⇒ 26

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The length of each side of the pentagon is 19.2 meters.

To find the length of each side of the pentagon, we need to divide the perimeter of the pentagon by 5, since a pentagon has 5 sides. If the perimeter is 96 meters, each side would have a length of 96/5 = 19.2 meters.

If the volume of a chunk of gold with a mass of 4,830 kg is 0.25 cubic meters. The gold will have a density of 19,320 kg/m.

It is defined as the mass-to-volume ratio. The density indicates the object's density and is represented by the symbol. The density is measured in kilograms per cubic meter. While volume is a three-dimensional space enclosed by an object or thing.

It is given that, a block of gold with a mass of 4,830 kilograms has a volume of 0.25 cubic meters.

We have to find the density of the gold.

Density = mass/volume

Density = 4,830 / 0.25

Density = 19,320 kg/m

Thus, if the volume of a chunk of gold with a mass of 4,830 kg is 0.25 cubic meters. The gold will have a density of 19,320 kg/m.

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Josh walked 4 laps around the trail.

To find out how many laps Josh walked around the trail, we first need to calculate the distance he walked from his house to the park and back, and then subtract that from the total distance.

Distance from home to park: Josh walked 1 mile from his house to the park.

Distance from park to home: He also walked 1 mile back home.

Now, let's calculate the total distance Josh walked around the trail:

Total distance walked = Total distance - (Distance from home to park + Distance from park to home)

Total distance walked = 5 miles - (1 mile + 1 mile)

= 5 miles - 2 miles

= 3 miles

Now, we know that Josh walked laps around a 3/4 mile loop trail, and he walked a total of 3 miles. To find out how many laps he walked, we divide the total distance by the distance of each lap:

Number of laps = Total distance / Distance per lap

= 3 miles / (3/4 mile)

= 3 miles * (4/3)

= 4 laps

So, Josh walked 4 laps around the trail.

The number of hours Jason has worked so far is [tex]4\frac{1}{3}[/tex] hours.

Subtracting fractions include the subtraction of two or more fractions with the same or different denominators. Like fractions can be subtracted directly but for unlike fractions we need to make the denominators same first and then subtract them.

Given that, Jason spends [tex]2\frac{2}{3}[/tex] hours more at the camp, he will complete 7 hours of camp counseling.

Now, 7- [tex]2\frac{2}{3}[/tex]

= 7-8/3

= (21-8)/3

= 13/3

= [tex]4\frac{1}{3}[/tex]

Therefore, the number of hours Jason has worked so far is [tex]4\frac{1}{3}[/tex] hours.

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Answer:

m<D is [tex]13^{0}[/tex]

Step-by-step explanation:

Vertically opposite angles are said to be equal angles, thus;

                   m<C = m<D

So that,

              -3x + 58 = x -2

             -3x - x = -2 -58

               - 4x = - 60

                 x = [tex]\frac{- 60}{- 4}[/tex]

                 x = 15

Thus,

  m< D = x - 2

           = 15 - 2

           = [tex]13^{0}[/tex]

Therefore, m<D is [tex]13^{0}[/tex]

To solve this, you represent the the question as:

x + ( x + 1 ) + ( x + 2 ) = 84

1 gallon = 3.785 liters

 3.5 * 3.785 = 13.2475 total liters

1 liter = 1000 milliliters

13.2475 * 1000 = 13,247.5 milliliters

 Answer is B

Answer:

b

Step-by-step explanation:

hope this helped you!!

multiply distance by change in speed:

300.5 feet x -0.2 mph

300.5 * -0.2 = -60.1 change in speed