Jason, David, and Marcus each saved their allowance for four weeks. The ratio of total money
saved to number of weeks for each friend are shown in the table and graph. Which friend has
the greatest ratio of total money saved to number of weeks? Justify your response.

Answer:

Setting up problems like this requires a "system of equations." We'll call the two numbers "A" and "B." Make an equation out of the first sentence. "Sum" means the answer to an addition problem.

A + B = 45

After that, make an equation out of the second sentence. "Difference" means subtraction.

A - B = 3

There are two ways to solve this problem. The two ways are called "elimination" and "substitution." I don't know which way you usually do it, but for this case, elimination is more efficient, so I'll teach you how to do that. Look how "B" is positive in the first equation, but negative in the second equation. If these two equations get added together, the B-terms will cancel.

A + B = 45

A - B = 3

-------------

2A = 48

A = 24

Perfect, we got one of the numbers, which is 24. Plug in A = 24 into any of the equations to find B.

A + B = 45

24 + B = 45

B = 21

This means that our two magic numbers are 24 and 21. The product of these numbers can be found by multiplying them to get 504 (C). I hope this helps, and good luck with the rest of your math class!

Step-by-step explanation:

please mark me as brainlest

Answer:

pop music of 90

Technically it should say the area of the floor of the room but whatever

Also all things done assuming "room" means "floor" and that the rug isn't suspended in midair in the middle of the 3-D room

Answer:

[tex]56~m^2[/tex]

Step-by-step explanation:

If the room is 2 meters away from the rug top and bottom, the room is an extra 4 meters bigger than the rug in width. Likewise for sideways.

WLOG let the rug have a length of 3 and a width of 4(doesn't matter which number goes where). Then, the room has dimensions of [tex](3+4)[/tex] by [tex](4+4)[/tex], which equals 7 by 8 meters.

Therefore, the area is [tex]7*8=\boxed{56~m^2}[/tex]

Answer:

It's -30

Step-by-step explanation:

Combine like terms

 −  8  =  2 1 0

 −7  =  2 1 0

Divide both sides of the equation by the same term

− 7  =  2 1 0

-7a/-7 = 210/-7

You cancel the -7  on the left side and divide 210 by -7

and then 210/-7 is -30

Hope this helps mark me brainliest!

Answer:

75 miles

Step-by-step explanation:

because half of 50 is 25 so 25x2 is 50 and 50 plus 25 is 75

Answer:

75

Step-by-step explanation:

count by 25's

25+25=50

50+25=75

Answer:

y=1/2x + 3

Step-by-step explanation:

The first thing you need to know is that the slope of a perpendicular line is the opposite reciprocal of the other slope. Find the slope of this line, which is -2. The opposite reciprocal is 1/2. So, you know that the perpendicular line is equal to y=1/2x. Plug the x coordinate (4) in for x to have: y=1/2(4). Multiply 4 by 1/2 to get y=2. Since the y coordinate is supposed to equal 5, add 3 to y=2 to get 5. Since 3 is the amount we added, thats where the y intercept will be. Hope this helped!

Answer:

This is SURD, but the question is not well imputed (isn't well formed) some should be in bracket and left with one outside. check it well

Answer:

c

Step-by-step explanation:

both axes! PLS GIVE BRAINLIEST

Explanation:

Polynomials of degree 1, aka linear polynomials, are the highest allowed for the divisor when using synthetic division. If the divisor is degree 2 and larger, then you'll need to use polynomial long division instead.

An example divisor of degree 1 is something like [tex]x+5[/tex], which can be written as [tex]x^1+5[/tex]. That exponent of 1 determines the degree.

Answer:

36,518

Step-by-step explanation:

You can subtract 63,482 from 100,000 to get your answer.

100,000-63,482 = 36,518

Answer:

1) Yes, it is rational.

2) Yes, it is rational.

3) There are three repeating digits.

Step-by-step explanation:

Lets solve them in order.

1) First lets see what the characteristics of a rational number are. We know that, to be a rational number, a number must either:

An irrational number is a number that never repeats or ends. They are also not integers, but we will focus on the never repeats or ends part.

So, lets look at it. Does 0.147 repeat, terminate, be expressed as a fraction, and is it an integer? Well, its not an integer, it doesn't repeat, and it isn't a fraction. However, it does terminate, which means it is rational.

2) Is 0.147 repeating a rational or irrational number. Remember, we need to see if it terminates, repeats, is an integer, or is a fraction. Well, it doesn't terminate, it is not a fraction, and it is not an integer. However, it does repeat. That means that it is a rational number.

3) Now, to figure out how many repeating digits there are. In math, we know that the line above the numbers in the decimal place means that they repeat. So simply find out how many digits are below that line. Well, we see that 1, 4, and 7 are under the line. In total that is three digits. So the answer is 3.

The value of the expression in blue is 18 times the value of the expression in red

I know this because the sum of y and z is multiplied by 18

Answer:

The value of the expression in blue is 18 times the value of the expression in red

I know this because the sum of y and z is multiplied by 18

Answer:

take 1/4 to the other side since 1/2 and 1/4 are like terms then solve for X getting 16/5 as the answer

Have a wonderful time

Similar triangles have the same angle measures, but different side lengths. Generally, similar triangles are proportional.

So, we can say that AB / DE = BC / EC.

16 / DE = 12 / 9

12(DE) = 144

DE = 12

Hope this helps!! :)

Answer: 3/2

Step-by-step explanation:

1. Slope is rise over run (difference in Y over the difference in X)

2 Look for a point where the line intersect both x and y  

        (0,0) and (2,3)

3.Starting at (0,0) count up until you reach 3. That is the rise. Now

        count over until you reach the 2. That is the run.

4. From 0 to 3 is 3 Rise

   From 0 to 2 is 2 Run

5. Slope is Rise over Run: 3/2

Answer

2.) 4x - 2y = -8

The equation of the line having an x-intercept of -4 and y-intercept of 2 is 2x - 4y = -8 so, option 4 is correct.

A simple line in Euclidean geometry. A line, according to Euclid, is the distance between two points and can stretch forever in either direction. While Euclid's initial definition is now regarded as a line segment, such an extension in both directions is now thought of as a line.

Given:

The lines with an x-intercept of -4 and y-intercept of 2,

The coordinates can be written as (-4,0) and (0,2),

Write the equation of the line as shown below,

y - 2 = (2 - 0) / (0 - (-4)) (x - 0)

y - 2 = 2 / 4 x

y - 2 = 1 / 2 x

2y - 4 = x

x - 2y = -4 or 2x - 4y = -8

Thus, the equation of the line is 2x - 4y = -8.

To know more about the line:

https://brainly.com/question/2696693

#SPJ2

Answer:

year 6

Step-by-step explanation:

she will be at 48,000

the other girl will be at 46,000

The year in which the salary Sharon's first exceeds Samantha's salary if,  is the 5th year Sharon graduates from college, she accepts a job that pays $30,000 for the is 5 years.

A percentage, often known as percent, is a division by 100. Percentage, which means "per 100," designates a portion of a total sum. 45 out of 100 is represented by 45%, for instance. Finding the percentage of a whole in terms of 100 is what percentage calculation is. Both manual calculation and the use of internet calculators are options.

Given:

Sharon's pay = $30000,

Raise percentage = 10%,

Samantha pays = $40000,

Raise by  = $1000,

Calculate Sharon's pay as shown below,

Sharon's pay  = 30000(1 + 0.10)⁴

Sharon's pay  = 30000 × 1.77

Sharon's pay  = $43923

Calculate pay of Samantha after 4 years,

The pay of Samantha = 40000 + 4 × 1000

The pay of Samantha = $44000

Thus, Sharon's annual salary first exceeds Samantha's after 4 years.

To know more about percentages:

brainly.com/question/20818421

#SPJ2

Answer:

igneous

Step-by-step explanation:

igneous rocks are made out of molten lava or magma

Answer:

sedimentary rock/igneous rock and Metamorphic rock

Step-by-step explanation:

The sample will also be normally distributed, with same mean as the population, so µ = 70.5, but the standard deviation would be divided by the square root of the sample size, so σ = 2.6/√5 ≈ 1.16.

N(70.5, 1.16)

The sample will also be normally distributed, with the same mean as the population(µ = 70.5) and the standard deviation of 1.16 inches.

A normal distribution is a probability distribution that is used to represent events with a default behaviour and accumulated potential departures from it.

As it is given that the heights of male seniors in high school closely follow a normal distribution N(µ,σ) = N(70.5,2.6), where the units are inches.

Therefore, the mean will be the same (µ = 70.5), but the standard deviation for the sample size of the heights of five male seniors, can be written as,

[tex]s=\dfrac{\sigma}{\sqrt n} = \dfrac{2.6}{\sqrt5} = 1.16[/tex]

Hence, The sample will also be normally distributed, with the same mean as the population(µ = 70.5) and the standard deviation of 1.16 inches.

Learn more about Normal Distribution:

https://brainly.com/question/12421652

Answer:

90

Step-by-step explanation:

you can multiply anything here in any order.

you could first do 5 times -9

5 * -9 = -45

and then multiply the -2 to the -45

-2 * -45 = 90

Answer:

i don't know

im kinda silly lol lol lol lol lol lol lol lol lol

Answer:

1.31$

Step-by-step explanation:

Because I’m a teacher

Answer:

25

Step-by-step explanation:

its right because

6 x 5 is the area of the leftmost rectangle

4 x 5 is the area of the bottom rectangle

3 x 5 is the area of the rightmost rectangle

5 x 5 is the area of the slanted square on the top

the last term is the area of the trapezoid, which is (base1 + base2) x height /2

they split the trapezoid thing into a square and a triangle, which gets you the same answer

they multiplied it by 2 because there are 2 trapezoids

Answer:

29.40

Step-by-step explanation:

5% of 28.00 is 1.40, so 28.00 + 1.40 =29.40

Answer:

D

Step-by-step explanation:

Answer:

down menus to choose steps in order to correctly solve

down menus to choose steps in order to correctly solve4k−6=−2k−16−2 for k.

Anw.

-2

ep.

4k - 6 = -2k - 16 -2

4k - 6 = -2k - 18

4k - 6 + 2k = -18

4k - 2k = -18 + 6

6k = -18 + 6

6k = -12

k = -2