Mathematics High School

20 POINTS IF YOU ANSWER! NEED HELP ASAP
The two kids next to your locker are arguing over who got the better deal on the new cell phone plan billy pay $30 for his new phone and only pays $12.50 each month with free texting Annie got her new phone for free in only pays $20 a month how many months will both billy Annie have paid the same amount for the new cell phone plans you must write and solve an equation

Answers

Answer 1

Answer:

They will both have paid the same amount after 4 months

Step-by-step explanation:

Assume that they will pay the same amount after x months

∵ Billy pays $30 for his new phone

∵ He only pays $12.50 each month

→ Find how much he will pay in x month

∴ He will pay → 30 + 12.50x

∵ Annie got her new phone for free

∵ She only pays $20 a month

→ Find how much she will pay in x month

∴ She will pay → 20x

∵ They will pay the same amount

→ Equate their expressions above

∴ 20x = 30 + 12.50x

→ Subtract 12.50x from both sides

∵ 20x - 12.50x = 30 + 12.50x - 12.50x

∴ 7.50x = 30

→ Divide both sides by 7.50

∴ x = 4

∴ They will both have paid the same amount after 4 months

Related Questions

A lion needs to eat at least 15 pounds of food each day. The zoo feeds the lion using canisters that each contain 3 pounds of food. The lion has already consumed 9 pounds of food. How many more canisters x of food does the lion need to eat? Write your answer as an inequality.

Answers

Answer:

15 lbs total

1 canister - 3 lbs

lion has already consumed 9 pounds, "3 x 3 canisters of food"

15 - 9 = 6

6/3 = 2

the person needs to feed the lion 2 more canister

ANSWER IS 2

Step-by-step explanation:

After 4 new students joined a class, the class had 32 students.

Which equation can be used to find n, the number of students in the class before the 4 new students joined?

Answers

Answer:

32-4=n or 4+n=32

A rectangle has width (2x + 3) and length (2x - 4). What is the AREA of the rectangle?

Answers

Answer:

Step-by-step explanation:

Find the missing side of the triangle. Side LaTeX: cc is the hypotenuse and sides LaTeX: aa and LaTeX: bb are legs. Leave your answer in simplest radical form. LaTeX: a=2,\:b=4

Answers

Answer:

[tex]c = 2\sqrt{5[/tex]

Step-by-step explanation:

Given

[tex]a = 2[/tex]

[tex]b = 4[/tex]

c = hypotenuse

Required

Find c

Using Pythagoras theorem, we have:

[tex]c^2 = a^2 + b^2[/tex]

Substitute values for a and b

[tex]c^2 = 2^2 + 4^2[/tex]

[tex]c^2 = 4 + 16[/tex]

[tex]c^2 = 20[/tex]

Take square roots of both sides:

[tex]c = \sqrt{20[/tex]

Express 20 as 4 * 5

[tex]c = \sqrt{4 * 5[/tex]

Split surd

[tex]c = \sqrt{4} * \sqrt{5[/tex]

Take square root of 4

[tex]c = 2 * \sqrt{5[/tex]

[tex]c = 2\sqrt{5[/tex]

4 -2x plus 5 when x =4

Answers

Answer:

Step-by-step explanation:

f(4)=4-2x+5

4-2(4)+5

4-8+5

Answer:

x=1

Step-by-step explanation:

4-2x+5

x=4 so substitute the x with 4.

4-2(x)+5

What are all the zeros of the polynomial
y= -x^3 -3x^2 +6x +8
In synthetic division

Answers

Answer:

x=2, -4, -1

Step-by-step explanation:

-x³-3x²+6x+8=0

Multiply entire equation by -1:

x³+3x²-6x-8=0

Since x=2 is a solution, then x-2 must be a factor. Then:

x³+3x²-6x-8/x-2=x²+5x+4

x²+5x+4=0

Factor this:

x²+5x+4=(x+4)(x+1)=0

x=-4, -1

x=2, -4, -1

Find the slope of the line that passes through
(10, 1) and (6,2)

Answers

Answer:

m=-1/4

Step-by-step explanation:

2-1/6-10=1/-4

-1/4 is the slope

Answer:

The length of side A is 9 inches.

Step-by-step explanation:

B= A-4

C= A×2

B= 9-4

C= 9×2

B= 5

C= 18

9+5+18= 32 inches

A= 9 inches

B= 5 inches

C= 18 inches

In triangle JKL what is the value of x° if JK = KL

A) 38°
B) 60°
C) 69°
D) 71°

Answers

Answer:

A: 38º

Step-by-step explanation:

Triangle JKL is an isosceles triangle as JK=KL:

That means ∠J=∠L=71ºThe sum of a triangle's interior angles is 180º, so ∠K=180º-∠J-∠L. We know ∠J=∠L=71º, so ∠K=180º-71º-71º=38

hey guys happy holidays! any help is appreciated :)

Answers

9514 1404 393

Answer:

yes

Step-by-step explanation:

The given line of reflection is a perpendicular bisector of every segment joining any figure point with its image. Hence the given image trapezoid is a reflection across the line of the given pre-image trapezoid.

For example, Line f is the perpendicular bisector of AA'.

Need ASAP. I will mark BRAINLIEST .

Answers

Answer:

1. M‘(-5, 6), N’ (1, 0), P’(-4, 2)

2. E’(2, 7), F’(6, 6), G’(4, -2), H’(0, -1)

3. Q’(-4, 0), R’(0, 2), S’(7, 0), T’(-5, -6)

4. X’(-8, 3), Y’(-1, 2), Z’(-2, -7)

Step-by-step explanation:

Just Graph these points.

You need to add or subtract to the x or y to get these. For example for M(-6, 1) I added 1 to x to get -5 and added 5 to y to get 6.

Please please help i’m in eighth grade.

Answers

Answer:

Option D

Step-by-step explanation:

36 represents the total cost that they spent

The sum of two positive numbers is 45. The difference between the numbers is 9. What
is the value of the larger number?

Answers

Answer:

value of larger number is27

Step-by-step explanation:

x+y=45

x-y=9

2x=36

x=18

y=27

Answer: 27 + 18 = 45

27 - 18 = 9

Step-by-step explanation:

1 Find the area of the Circle below: Чcm

Answers

Answer:

A≈50.27

Or 16π

Step-by-step explanation:

Answer:

50.24cm

Step-by-step explanation:

Three friends pay 1025 to rent a vacation home. Beth contributed $80 more than danny. Katie contributed $20 less than Beth. How much did Danny contribute?

Answers

Answer:

Danny contributed $295

Step-by-step explanation:

Assume that Danny contributed $x

∵ Danny contributed x

∵ Beth contributed $80 more than Danny

→ Add The amount of Danny by $80 to get the amount od Beth

∴ Beth contributed x + 80

∵ Katie contributed $20 less than Beth

→ Subtract the amount of Beth by 20 to get the amount of Katie

∴ Katie contributed x + 80 - 20

∴ Katie contributed x + 60

∵ The three friends pay $1025

→ Add their amounts and equate the sum by 1025

∴ x + x + 80 + x + 60 = 1025

→ Add the like terms in the left side

∵ (x + x + x) + (80 + 60) = 1025

∴ 3x + 140 = 1025

→ Subtract 140 from both sides

∴ 3x + 140 - 140 = 1025 - 140

∴ 3x = 885

→ Divide both sides by 3

∴ x = 295

∵ x represents the amount of Danny contributed

∴ Danny contributed $295

Pascal reaches -12 meters only 3 seconds after passing 0. At what rate
does he run?

Answers

Answer:

About 30 m/s

Step-by-step explanation:

solve the equation y-(-5)=x-0 for y

Answers

Answer:

y = x - 5

Step-by-step explanation:

[tex]y - ( - 5) = x - 0[/tex]

[tex]y + 5 = x[/tex]

[tex]y = x - 5[/tex]

please help i dont want to fail

Answers

Answer: -2.2

Step-by-step explanation:

Answer:

-3/5 which is the third line between 0 and -1 if you're going back from 0.

The mean weight of the domesticated house cat is 9.2 pounds with a standard deviation of 3.4 pounds. If a cat has a z-score of -1.3 for its weight, how much does it weigh? Write your answer as a complete sentence.

Answers

Answer:

4.78 pounds

Step-by-step explanation:

We solve the above question using z score formula

z = (x-μ)/σ, where

x is the raw score

μ is the population mean = 9.2 pound

σ is the population standard deviation = 3.4 pounds

z = 1.3

We are to find x

Hence,

-1.3 = x - 9.2/3.4

Cross Multiply

-1.3 × 3.4 = x - 9.2

-4.42 = x - 9.2

x = -4.42 + 9.2

x = 4.78 pounds.

Therefore the weight of the cat is 4.78 pounds

A boat is carrying containers that weigh 4000 pounds each.
Use this information to fill in the table. Then plot the ordered pairs given by the table.

Answers

Answer:

4 = 16,000

8 = 32,000

10 = 40,000

Step-by-step explanation:

y=-x+4

y=2x-8

-x+4=2x-8

+x +x

4=3x-8

+8 +8

12=3x

/3 /3

4=x

The diameter of a cylindrical water tank is 10 ft, and it's height is 11 ft. What is the volume of the tank? Use the value 3.14 for pie, and round your answer to the nearest whole number. Be sure to include the correct unit in your answer.

Answers

Answer:

864.05ft^2

Step-by-step explanation:

Step one:

given data

diameter= 10ft

radius = 10/2= 5ft

height = 11ft

Step two:

Required

the volume of the cylinder

The expression for the volume of the cylinder is

v= πr^2h

substituting our given data

v= 3.142*5^2*11

v=3.142*25*11

v=864.05ft^2

Other Questions

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Your subject may have from two to four main points and from two to five subpoints under each main point (but having a total of more than about 10 points will weaken your speech). You must have at least two subpoints for each main point.Practice giving your speech in front of a mirror or with a partner.If you are able, have someone record your speech so that you can also evaluate it according to the points listed below.Have your teacher or a friend evaluate your speech using the following points.Did the speaker:1. Know the subject?2. Show enthusiasm?3. Use meaningful gestures?4. Use a pleasant, expressive voice?5. Set a pleasing pace?6. Speak clearly?7. 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