Mathematics Middle School

A student solved this problem by making a table.

Arturo has $120. Max has $90. In how many years will they both have the same amount of money if Arturo saves $90 per year and Max saves $100?
Arturo $120 $210 $300 $390
Max $90 $190 $290 $390
Year 0 1 2 3
Here is a problem that can also be solved by making a table.

Amira has $80. Sasha has $40.



In how many months will they both have the same amount of money if Amira saves $40 per month and Sasha saves $50?

Answers

Answer 1
it will take 4 months for them to have the same amount of money

Related Questions

Which relationship describes angles 1 and 2?

Select each correct answer.

adjacent angles
vertical angles
complementary angles
supplementary angles

Answers

The answer is adjacent angles

What is the total cost or sale price to the nearest cent 20$ haircut; 15% tip

Answers

$20 hai
The answer is $23.00

Convert 3 feet to inches.
A) 4 inches
B) 9 inches
C) 12 inches
D) 36 inches

Answers

1 foot = 12 inches
 3 feet x 12 inches = 36 inches

answer is D

In every foot, there’s 12 inches. Since there are 3 feet, there are three 12 inches. We have to multiply 3 by 12 to find the total amount of inches.
3•12=36
D), there are 36 inches in 3 feet.

Please help meeeeeeeee

Answers

Since the diameter is twice the radius, the diameter is 44.

2*22=44

:) I hope this helps!
2 x 22 = 44 Thad ur answer

What is the circumference of the circle? Round your answer to the nearest foot

Answers

it would be 78.5 because if you do the work for example here is work i did for a question on my quiz


Where "C" is circumference and "d" is diameter.

Substituting your values in, we have:



Which, when rounded, is 37.7.
 thats my work but when you do your work for your question you get 78.58 and you would round to the nearset tenth and you get 78.5

Hope this helps:) please mark branliest would really apperciate it thx

i need this rotated 270 degrees clockwise

Answers

270° CW is the same as 90° CCW. The mapping for that is (x, y) ⇒ (-y, x).

D(1, 2) ⇒ D'(-2, 1)
F(2, 3) ⇒ F'(-3, 2)
G(4, 1) ⇒ G'(-1, 4)

i need to find the area


there are 3 rectangles and a trapezoid

show how plz

Answers

The area of a rectangle is length x width. We can find the 3 areas of the rectangles with this formula:

20 x 5 = 100
100 yd²

15 x (20-14) = 90
90 yd²

14 x 10 = 140
140 yd²

The area of a trapezoid is 1/2(b1+b2)h
In this problem:

b1=25-15-5
b1=5
b2=10
h=20-14
h=6

We can then plug this into the formula:

A = 1/2(5+10)(6)
A = 1/2(15)(6)
A = 45 yd²

We can then get the area of the whole polygon by adding up the areas of the three rectangles and trapezoid:

A = 100+90+140 + 45
A = 375 yd²

△ABC is similar to △DEF .

AB=5 inches, BC=9 inches, and DE=7.5 inches.

What is EF ?

Answers

Similar triangles have corresponding sides with proportional lengths.

AB/BC = DE/EF

5/9 = 7.5/EF

5(EF) = 9 * 7.5

5(EF) = 67.5

EF = 13.5
I think the answer is 13.5. △DEF is 1.5 times bigger than △ABC

PLEASE HELP ME!! A right circular cone has a radius of 6 inches and a volume of 180 cubic inches. What is the height of the cone? Please answer without using pi. Thank you

A. 5 in.
B. 15 in.
C. 25 in.
D. 90 in.

Answers

Volume of the cone = [tex] \frac{1}{3} \pi x^{2} h[/tex]

Given that the volume is 180 cubic inches
[tex] \frac{1}{3} \pi r^{2} h[/tex] = [tex]180[/tex] 

Given that the radius is 6m
[tex] \frac{1}{3} \pi 6^{2} h[/tex] = [tex]180[/tex] 

Evaluate 
[tex] \frac{1}{3} \pi (36) h[/tex] =  [tex]180[/tex] 
[tex] 12\pi h[/tex] =  [tex]180[/tex] 
[tex] h[/tex] =  [tex]180[/tex]  ÷ ([tex] 12 \pi [/tex])
[tex] h[/tex] = 4.77  ≈ 5 inches (Answer A)


Option B.The height of a cone is 15 inches.

To find the height of the cone, we will use the formula for the volume of a cone:

V = (1/3) * π * r² * h

We know the volume (V) is 180 cubic inches and the radius (r) is 6 inches.
We need to solve for the height (h).
First, let's plug in the known values:

180 = (1/3) * π * (6)² * h

180 = (1/3) * π * 36 * h

540 = π * 36 * h

540 / 36π = h

We can simplify this further, h = 15/π. Since we do not use π for the answer:

By rational observation of given options, B. 15 in. seems accurate.

what she got to school she saw that the school has nine buildings each Heaven 30 classrooms how many classrooms does the school have

Answers

Just do 9*30 which is 270 classrooms

Final answer:

To find the total number of classrooms in the school, we multiply the number of buildings (9) by the number of classrooms in each building (30), resulting in a total of 270 classrooms.

Explanation:

The question asks how many classrooms are there in total if a school has nine buildings, each with 30 classrooms. To find the answer, we need to multiply the number of buildings by the number of classrooms in each building. This calculation is straightforward:

Multiply the number of buildings (9) by the number of classrooms in each building (30).

This gives us: 9 buildings x 30 classrooms/building = 270 classrooms in total.

Therefore, the school has a total of 270 classrooms.

The two triangles below are similar. Which pair are corresponding sides?

LN and MN
MN and QR
LM and QR
LM and PQ

Answers

MN and QR are corresponding :-)

Answer:

2) MN correspond to QR .

Step-by-step explanation:

Given : The two triangles below are similar.

To find : Which pair are corresponding sides

Solution : We have given that Triangle LMN is similar to triangle PQR.

Then Sides

MN correspond to QR .

Therefore, 2) MN correspond to QR .

Why do elephants have ivory tusks?

Answers

Cause god made it that way lol

Elephants have ivory tusks, which are elongated incisor teeth, primarily for digging, stripping bark, and defense, and they may have evolved for sexual selection and competitive interactions among males.

Elephants have ivory tusks because they are actually elongated incisor teeth. These tusks are composed of dentine and are covered by a layer of enamel, just like our teeth. Elephants use their tusks for various purposes, such as digging for water, stripping bark from trees, and as a weapon for defense. However, the primary reason they have tusks is not entirely understood. It's believed that tusks might have evolved for sexual selection and display, as well as for competitive interactions among male elephants.

Two cars are traveling along the same highway. The distance, d, in miles, from San Francisco after h hours spent driving is described for each car below.

Car A:
d = 60h + 20

Car B: h d
0 60
2 160
4 260

Select three statements that are true.

A.Car A is traveling at the same rate, in miles per hour, as Car B.

B.Car A is traveling at a faster rate, in miles per hour, than Car B.

C. Car A is traveling at a slower rate, in miles per hour, than Car B.

D.Car A is originally closer to San Francisco than Car B.

E .Car A is originally at the same distance from San Francisco as Car B.

F.Car A and Car B are at the same distance away from San Francisco after 4 hours.

Answers

The answers are A,D,F
Final answer:

Car A is traveling faster at the checkpoint because it must go past the speed of car B to reach the same distance.

Explanation:

Car A is traveling faster at the checkpoint because it must go past the speed of car B to reach the same distance.

To determine which car is traveling faster at the checkpoint, we need to compare their velocities. Car A has a positive, constant acceleration, which means its velocity is increasing. Car B, on the other hand, travels at a constant speed, which means its velocity remains the same.

Therefore, Car A is traveling faster at the checkpoint than Car B.

HELP ASAP!!!

1: What is the surface area of a sphere with a radius of 4 meters rounded to the nearest square meter
A: 50 m^2
B: 101 m^2
C: 201 m^2
D: 268 m^2

2: What is the volume of a sphere with a radius of 6 meters rounded to the nearest square meter?
A: 905 m^3
B: 679 m^3
C: 452 m^3
D: 226 m^3

Answers

Q1)
the surface area of the sphere can be calculated using the following equation 
Area = 4πr²
where r = radius
π = 3.142
radius of the sphere = 4 m
substituting radius in the area equation 
Area = 4 x 3.142 x 4²
        = 201.08 m²
when rounded off to nearest sq.meter , 201.08 ≈ 201
answer is C. 201 m²

Q2)
volume of the sphere can be calculated from the following equation
V = 4/3 πr³
 radius of sphere = 6 m
π = 3.142
V = 4/3 x 3.142 x 6³
   = 904.8 m³
rounded off to nearest sq. meter 
904.8 ≈ 905 m³
correct answer is A

Greg started with a certain number of quarters. He then decided on a number of quarters he would save each day. He added the quarters he saved to the amount with which he started. At the end of day 2, Greg had a total of 26 quarters saved. At the end of day 5, he had a total of 35 quarters saved.

A. How many quarters does Greg start with? Show or explain your work.

B. Write an equation to model the number of quarters Greg has saved, y, after x days.

C. Using the rate at which Greg is saving, explain why he can never have exactly 100 quarters saved by the end of any given day.

Answers

Final answer:

Greg started with 20 quarters. The equation for the number of quarters saved after x days is y = 20 + 3x. With Greg's savings rate of 3 quarters per day, he cannot have exactly 100 quarters on any day since 100 is not a multiple of 3 plus the 20 starting quarters.

Explanation:

To determine how many quarters Greg started with, let 's' be the number quarters Greg started with, and 'd' be the number of quarters he saves each day. After 2 days, he had a total of 26 quarters saved, and after 5 days, he had a total of 35 quarters saved. These can be written as two equations:

s + 2d = 26s + 5d = 35

Subtracting the first equation from the second gives:

3d = 9

From which we find that d = 3 (Greg saves 3 quarters a day). Plugging this value back into the first equation:

s + 2(3) = 26

s + 6 = 26

s = 20

Greg started with 20 quarters.

B. The equation to model the number of quarters Greg has saved, y, after x days is:

y = 20 + 3x

C. With the savings rate of 3 quarters a day, Greg's total will always be a multiple of 3 plus the 20 he started with. 100 is not a multiple of 3, meaning he can never save exactly 100 quarters by the end of any given day since 100 minus the 20 quarters he started with leaves 80, which is not divisible by 3.

Final answer:

Greg started with 20 quarters and saves 3 quarters every day afterward. The equation to model the number of quarters saved after x days is y = 20 + 3x. It is impossible for Greg to have exactly 100 quarters saved by the end of any given day because 100 cannot be reached by adding multiples of 3 to the starting amount of 20 quarters.

Explanation:

To solve for the number of quarters Greg started with and the number of quarters he saves each day, we can set up a system of equations. Let's designate q as the number of quarters Greg started with and d as the number of quarters he saves each day. From the problem, we have two points of data: On day 2, Greg has 26 quarters, and on day 5, he has 35 quarters.

The equations representing these two data points are:

q + 2d = 26q + 5d = 35

Subtracting the first equation from the second gives us:

3d = 9

Dividing both sides by 3 gives us:

d = 3

Now that we have the value for d, we can substitute it back into the first equation:

q + 2(3) = 26

q + 6 = 26

Subtracting 6 from both sides gives us:

q = 20

Greg started with 20 quarters.

For the equation to model the number of quarters saved, y, after x days, we have:

y = q + dx

This simplifies to:

y = 20 + 3x

To address part C, let's analyze the possibility of Greg having exactly 100 quarters saved. If we set y to 100 in the equation y = 20 + 3x and solve for x, we get:

100 = 20 + 3x

80 = 3x

x = 80/3

x ≈ 26.67

Since x must be an integer because Greg cannot save a fraction of a day, he cannot have exactly 100 quarters by the end of any given day. This is because 100 is not a multiple of 3 (the daily amount Greg saves) when starting from 20. Thus, it's impossible for Greg to have exactly 100 quarters saved by the end of any given day.

for which data representation is the median the better measure of center

Answers

You should use a median as a measure of center when you have data that is not distributed evenly.  For example, if you have a number that is a lot bigger or smaller than most of the numbers, using the mean would be a better way to show one value to represent the information.  When representing data on a line/dot plot or a histogram, you should use the median to represent the data if it is skewed left or right.  This means it looks longer on one side or when looking at the middle, it does not look the same on both sides (symetric). 

The median is the better measure of center when dealing with data sets that have outliers or extreme values.

The median is the better measure of center when a data set contains several outliers or extreme values. It is less sensitive to measurements with extreme values, providing a more robust estimation of central tendency. The median can be thought of as the middle number in a series, where 50% of the measurements are above it and 50% are below.

When a number x is multiplied by 5, it gives the same result as when 48 are added to twice the number. Form an equation in terms of x. Hence, find the number x

Answers

5x=48+2x
-2x. -2x
3x=48
3. 3
x=16

107=5x+17 simplify your answer as much as possible

Answers

107-7=90
90divided 5=18
18*5=90+17=107
I did the work ♥♥♥♥
x=18
5*18=90
90+17=107


PLEASE HELP!!!!

Beth’s final exam is worth 140 points. It consists of 40 questions. Each multiple choice question is worth 2 points, and each word problem is worth 5 points. How many of each kind of question are on the test?

Answers

They had 20:2 point problems. They also had 20:5 point problems.

what is the answer to this question ?

Answers

If there is a really short way of doing this, I don't see it. The only way I know to do it is to find the third angle of both triangles. 

So for F the third angle for each of the pairs is
left side: 180 - (51 + 30) = 180 - 81 = 99
right side: 180 - (109 + 30) = 180 - 139 = 41
This is not the answer.

G
180 - (92 + 70) = 180 - 162 = 18
180 - (28 + 70) = 180 - 98 = 82
This is not the answer either.

H
180- (58 + 30) = 180 - (88) = 92
180 - (90  + 58) = 180 - 148 = 32
Not at all.

180 - (35 + 82) = 180 - 117 = 63
180 - (82 + 63) = 180 - 145 = 35
This pair has a third angle that is equal to the other triangle's pair. This is your answer.

what value of c makes x^2 - 24x + c a perfect square trinomial?

Answers

Divide 24 by two and square it
The answer is 144

Answer:

Step-by-step explanation:

Quadratic equation is given by x²-24x+c

This is in the form expansion of (a-b)², that is a²-2ab+b²

Comparing

            a² = x²,    a = x

            -2ab = -24x

             -2xb = -24x

                  b = 12

           c = b² = 12² =144

   x²-24x+144 = (x-12)²

Option D is the correct answer

is 2x-5y=0 a direct variation

Answers

Is 2x-5y=0 a direct variation

Answer: Yes

using the distributive property to find the product (y-4)(y^2+4y+16) results in a polynomial of the form y^3 + 4y^2 + ay - 4y^2 - ay - 64 what is the value of a in the polynomial

Answers

(y-4)(y^2+4y+16)
y^3+4y^2+16y-4y^2-16y-64=y^3+4y^2+ay-4y^2-ay-64
Comparing the coefficients: a=16
Answer: The value of a in the polynomial is 16

Answer:d

Step-by-step explanation:

What is the square root of 25p^3 expressed in simplified form?

Answers

5p square root of p^2

Sarah folds this pattern into a square pyramid. What is the surface area of Sarah's pyramid?
A. 161 sq. Inches
B.224sq.inches
C. 112sq.inches
D.273sq.inches

I need the answer really fast gets a brain list plz

Answers

To find the surface area you would need to find the area of all five shapes that create this net. The four triangles are congruent so you really are finding the area of one triangle x 4 and one square. Please see the attached paper for the work.

Cougar Park is shaped like a parallelogram and has an area of 1/10 square mile. It’s base is 3/8 mile. What is its height?

Answers

To find the missing dimension (the height) you can use the formula A=bh and substitute and let you know. 1/10=3/8h. To find the missing factor (h) you will divide both sides by 3/8. 1/10 divided by 3/8 is the same as 1/10 x 8/3. The answer is 4/15 mile. You show this has h=4/15 mi.
4/15 Miles
The formula for the area of a parallelogram is A=b*h. We plug in the information that we know and solve for the missing height.
[tex] \frac{1}{10}= \frac{3}{8}*h [/tex]
Multiply both sides by the reciprocal of 3/8 which is 8/3 so it is canceled on the right side.
[tex]\frac{8}{3}*\frac{1}{10}= h [/tex]
multiply the factions to get 8/30. 8 and 30 have common factors of 2 and can reduce to 4/15

What is the average speed in miles per hour of a car that’s travels 956.4 miles in 15.9 hours? Round the answer to nearest tenth , explain step by step how to solve it

Answers

956.4 / 15.9 = 60.1509434
rounded = 60.2

Smoked salmon is being sold for $15.50 per pound. What is the cost of 6 ounces of salmon?.

Answers

1 pound = 16 ounces

15.50 / 16 = 0.96875 per ounce

0.96875 * 6 = $5.81

A sign in front of a roller coaster says ''you must be 40 inches tall to ride'' what percentage of this height is A 34 inches and B 54 inches. Please answer both questions if you can.

Answers

Percentage of A
34/40 x 100 = 85%

Percentage of B
54/40 x 100 = 135%

Ans: A) 85% B) 135%

Double a penny every day for 30 days. How many dollars do you have

Answers

$10, 737, 418.24 after 30 days
2x30=60
If I have this correct it is just 2 pennies which is each one cent multiplied by 30
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