Please Show work and explain.

1. The enrollment in dance class is currently 80 students and is increasing at a rate of 4 students per term. The enrollment in choir is 120 students and is decreasing at a rate of 6 students per term. After how many terms will the number of students in dance equal the number of students in choir? How many students will be in each class?

2. Horizon Phone Company charges $15 a month plus 10 cents per text. G-Mobile charges a flat rate of $55 per month with unlimited texting. At how many texts would the two plans cost the same? Which plan is the better deal if you send 200 texts per month?

Answer:

d

Step-by-step explanation:

Answer:

E < F < G

Step-by-step explanation:

hope this helps

Answer:

Step-by-step explanation:

Let's assume the first business partner borrowed x dollars and the second partner borrowed (30000 - x) dollars.

The interest earned by the first partner at a rate of 16.5% is (x * 0.165), and the interest earned by the second partner at a rate of 12.5% is ((30000 - x) * 0.125).

According to the given information, the total interest earned by both partners is $4150. So, we can write the equation:

(x * 0.165) + ((30000 - x) * 0.125) = 4150

Now, let's solve this equation to find the values of x.

0.165x + 0.125(30000 - x) = 4150

0.165x + 3750 - 0.125x = 4150

0.04x = 400

x = 400 / 0.04

x = 10000

Therefore, the first business partner borrowed $10,000 at a 16.5% interest rate, and the second partner borrowed (30000 - 10000) = $20,000 at a 12.5% interest rate.

Let's call the amount borrowed by the business partner at 16.5% "x" and the amount borrowed by the other business partner "y".

We know that the total amount borrowed is $30,000, so:

x + y = $30,000

We also know that the interest earned by the first business partner is 16.5% of x, and the interest earned by the second business partner is 12.5% of y.

So the total interest earned for the year is:

0.165x + 0.125y = $4150

We now have two equations with two unknowns, which we can solve for x and y.

First, let's isolate one of the variables in the first equation:

x = $30,000 - y

Now we can substitute this expression for x into the second equation:

0.165($30,000 - y) + 0.125y = $4150

0.165($30,000 - y) + 0.125y = $4150

$4,950 - 0.165y + 0.125y = $4150

Combine like terms:

-0.04y = $4150 - $4,950

-0.04y = -$800

Divide both sides by -0.04 to isolate y:

y = -$800 / -0.04

y = $20,000

Now that we have the value of y, we can substitute it back into the first equation to find x:

x + $20,000 = $30,000

x = $30,000 - $20,000

x = $10,000

So, the amount borrowed by the first business partner is $10,000, and the amount borrowed by the second business partner is $20,000.

Answer:

for every 1 packet you get 10 plants

for every 1 pound there are 5 cups

Step-by-step explanation:

Answer:

1a)81 b)54 c)27 d)0

Step-by-step explanation:

for number one the answer is 27 x what is given

Answer:

Step-by-step explanation:

You want the number of small cubes painted on 3, 2, 1, and 0 faces if the outside surface of a cube comprised of 27 small cubes is painted. You also want the height of 200 L of water in a tank of 50 cm radius with a 20 cm radius hole in the middle.

The number of cubes painted on 3 faces is the number of corner cubes: 8.

The number of cubes painted on 2 faces is the number of center-edge cubes, 12.

The number of cubes painted on one face is the number of center-face cubes, 6.

The number of cubes with no painted faces is the number of cubes buried inside, 1.

The painting is ...

The total is 27, as it should be.

The area of the base of the part holding water is ...

  π(50² -20²) = π(2500 -400) = 2100π cm²

The height of 200 L of water will be h, where the volume of the figure is ...

  V = Bh

  V = (2100π cm²)h = 200·1000 cm³

  h = 200/(2.1π) cm ≈ 30.3 cm

The height of the water in the tank will be about 30.3 cm.

__

Additional comment

When working with volumes in liters, it is often convenient to work with dimensions in decimeters (dm), where 1 dm = 10 cm. This is because 1 dm³ = 1 L.

Here, the area is π(5² -2²) = 21π dm², so the height is (200 dm³)/(21π dm²) ≈ 3.03 dm = 30.3 cm.

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The team needs to win 10 games in the fifth year to have an average of 8 wins per year over the five-year period.

To find out how many games the team needs to win in the fifth year to have an average of 8 wins per year over the five-year period, we can use the following equation:

(5 + 10 + 8 + 7 + x) / 5 = 8

Here, x represents the number of games the team needs to win in the fifth year.

To solve for x, we can simplify the equation:

(30 + x) / 5 = 8

Now, we can cross-multiply:

30 + x = 40

Subtracting 30 from both sides of the equation, we get:

x = 10

Therefore, the team needs to win 10 games in the fifth year to have an average of 8 wins per year over the five-year period.

To learn more about finding averages,

https://brainly.com/question/130657

https://brainly.com/question/28798526

Answer:i dont know. Maybe try khan academy? Good lucK!:)

Step-by-step explanation:

Answer:

I D K A and C but B is 776 and 29 D is 101 and 8 I hope i helped

Step-by-step explanation:

(b) 5x^2+1

5(5)^2+1

25^2+1

775+1

776

x^2+4

5^2+4

25+4 29

(d) 5x^2+1

5(2)^2+1

10^2+1

100+1

101

x^2+4

2^2+4

4+4

8

Answer:

Step-by-step explanation:

khanacademy.org/math/cc-seventh-grade-math/cc-7th-probability-statistics/cc-7th-compound-events/v/tree-diagram-to-count-outcomes

Answer: 3000 Kelvin

Step-by-step explanation

Let the surface temperature of the red giant star = x

Surface temperature of a white dwarf star = 4x

4x = 1.2 × 10^4 K

    = 1.2 × 10,000 K

    = 12,000 K

4x = 12,000 K

x = 12000 ÷ 4

  = 3,000 K

Answer:

soorrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrry

Step-by-step explanation:

Answer:

Alright Ima jsut say common phrases and do em at the end

Veritcal angles:

Well these angles are equal and always across form each other. Too determine if its a vertical angle, if you see an “x” Like shape, you can draw a maximum of two lines, one horizontal, one vertical. The number those lines tough are vertical the fore the SAME.

Complementary angles:

These are 2 or more angles that add up to 90 degrees. You can have like 20 different angles with different numbers, as long as they add up to 90 degrees. 90 degrees is a right angle so no matter what, it has to equal 90 degrees from all angles.

Supplementary angles:

These are 2 or more angles that add up to 180 degrees or a straight line more common. As long as all the angles add up to 180, its supplementary.

Adjacent angles:

These are angle show lie next to each other. They don’t have anything special, their just next to each other. Ima use an example form the graph. Take for example the angle RNX. XNE is adjacent, its lies right next to it. Another Example could be KND. DNE is adjacent, right next to it.

1) ANR

2) KNE

3) KND

4) RNX

Answer:

The equation is: [tex]5c-2=9[/tex]

Step-by-step explanation:

Since 2 less than the product of 5 and a number c is equal to 9, it follows:

[tex]5c-2=9[/tex]

Answer:

Step-by-step explanation:

Let me look it up 8

Answer is 25 degrees.

Answer:

k=12

Step-by-step explanation:

Top left angle is 84 degrees also, due to alternate interior angles cut by the transveral.

2 sides are congruent, leaving bottom left corner angle also 84 degrees.

Write an equation to solve for k:

84+84+k=180

simplify

168+k=180

subtract 168 from both sides

k=12

Hope this helps! :)

Answer:

The area of the cross section is 2 cm^2.

Step-by-step explanation:

If I am understanding your problem correctly, we are just looking for the area of the grey rectangle, which is the cross-section.

The length and width of this gray rectangle are already given to us. They are 1 and 2. Just multiply them to get the area.

1 x 2 = 2 cm^2

Answer:

it is 3.00

Step-by-step explanation:

as you can see first we define the variables

1. the y axis(vertical) represents the cost of peaches while the x axis (the bottom one) represents the number of pounds

2. then we find a place where the line crosses the grid but exactly on the corner of the box

3. when we have found our point which is (2,6) it means that every 2 pounds of peaches is 6 dollars

4. divide 6/2 and you get 3 dollars!

Answer:

each will get 4 strawberries

Step-by-step explain:

20÷5=4

Answer:

21.25 and a total of 25.50

Step-by-step explanation:

multiply 4.25 by 5 to get the meal cost and add the 4.25 for the tip

Answer:

2/12

Step-by-step explanation:

Because there are 6 tile total but he wants two put 2 numbers out of the bag twice..... you get the 12 because he pulls a number out twice and since he has 6 and then does it again it adds to 12 so the answer would be 2/12

Answer:

I'm gonna base this off of gallon being y and minutes x

Step-by-step explanation:

it dosnt say it starts with any water in it and I have no numbers to base this so I'm gonna say that it passes through the origin and unit rate depends on how many gallons a minute just take 2 minutes and 1 gallon right well that would be .5 for unit rate hope this helps you

Answer: The bill was $150 without tip and 172.50 with tip

Step-by-step explanation:

Answer:7,065

Step-by-step explanation: 50x75x3.14 then subtract 20x75x3.14

Answer:

Eve will pay $97 if she buys it during the sale.

Step-by-step explanation:

price during sale = original price - (original price * discount percentage)

disc. % = 75%

75% = 0.75

pr. = 388 - (388 * 0.75)

pr. = $97

Answer:

97$

Step-by-step explanation:

Step-by-step explanation:

Sure! Here's the step-by-step calculation:

1. Calculate the interest earned on the first investment:

$35,000 * 10% = $3,500

2. Calculate the interest earned on the second investment:

$42,000 * 8% = $3,360

3. Calculate the amount invested in the third account:

Total investment - (First investment + Second investment)

$100,000 - ($35,000 + $42,000) = $23,000

4. Calculate the interest earned on the third investment:

$23,000 * 14% = $3,220

5. Add up the interest earned from all three investments:

$3,500 + $3,360 + $3,220 = $10,080

Therefore, Maxwell received $10,080 in interest in one year.

The mode number of books the girls read is 5.

The mode is a number which appears most often in a set of numbers and in a data set.

Given the question above, we need to find the mode number of books the girls read.

Since 5 girls read the books, we can conclude that the mode is 5.

Thus. the mode number of books the girls read is 5.

Learn more about the mode at:

https://brainly.com/question/30093741

Answer:

9/2

Step-by-step explanation:

Answer:

19/20LBS

Step-by-step explanation: