Jacob decided to start saving for college. After 3 months, he had saved $174. His friend Victoria was inspired to do the same. After 6 months, she had saved $360. If they are both saving money at a constant rate, how many more dollars per month does Victoria save than Jacob?

Answers

Answer 1

Answer:

$2 more.

Step-by-step explanation:

In this question, we have to find how much more money Victoria is saving.

We know that Jacob saved $174 in 3 months.

We also know that Victoria saved $360 in 6 months.

Lets find how much money they save per month:

Jacob:

174 ÷ 3 = 58

Victoria:

360 ÷ 6 = 60

Jacob is saving $58 per month and Victoria is saving $60 per month.

This means that Victoria is saving $2 more than Jacob per month.

Answer 2

Answer:

2

Step-by-step explanation:

multiply by 2 and then divide by 6


Related Questions

Which point is coplanar with C, F, and G in the diagram below?

1. H
2.E
3.B
4.D

Answers

Step-by-step explanation:

The only face of the cube that has all the points C, F and G is the face CFGD on the right facing outwards.

Hence point D must be coplanar as it is on the same face.

Point D  is coplanar with C, F, and G in the diagram of rectangular prism option (4) D is correct.

What is a rectangular prism?

It is defined as the six-faced shape, a type of hexahedron in geometry.

It is a three-dimensional shape. It is also called a cuboid.

It is given that:

The rectangular prism is given in the picture.

The rectangular prism is a three-dimensional figure.

As we know, geometry can be defined as the branch of mathematics that is concerned with the size, shape, and orientation of two-dimensional figures.

The cuboid can be defined as a six-faced shape, a type of hexahedron in geometry. It is a three-dimensional shape.

Thus, point D  is coplanar with C, F, and G in the diagram of rectangular prism option (4) D is correct.

Learn more about the rectangular prism here:

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The side lengths of a triangle are 5, 8, and 12. Is this a right triangle?
O A. No, because 52 + 32 + 122.
OB. No, because 5+ 8 + 12.
C. Yes, because 52 + 82 = 122.
O D. Yes, because 52 + 82 < 122

Answers

Answer:

A) No...

Step-by-step explanation:

We can check if this triangle is a right triangle by using the Pythagorean Theorem.

a² + b² = c² where a and b are the legs of the right triangle, and c is the hypotenuse (longest side)

Using 5 for a, 8 for b, and 12 for c, let's see if this satisfies the equation:

5² + 8² = 12²

Simplify.

25 + 64 = 144 89 = 144

We can see that 89 ≠ 144, so this leaves us with answer choices A and B. I think you meant to write < for the last + sign.

Seeing as the sum of the two lengths of the triangle is greater than the third side length, this creates a normal triangle. This cannot be the correct answer choice since this only satisfies the requirements for a triangle, but not a right triangle.

This leaves us with answer choice A.  52 + 32 ≠ 122 and 52 + 32 < 122. (I'm not sure why the squares of the side lengths are not used, but this should be the correct answer.)

A manufacturer knows that their items have a normally distributed length, with a mean of 16.2 inches, and standard deviation of 0.9 inches. If one item is chosen at random, what is the probability that it is less than 16.4 inches long

Answers

Answer:

57.926%

Step-by-step explanation:

Calculation for the probability that it is less than

16.4 inches long

Using this formula

z = (X - μ) / σ

Where,

X represent Date=16.4

μ represent Mean=16.2

σ represent Standard deviation=0.9 inches

Let plug in the formula

z = (16.4 - 16.2) /0.9 inches

z=0.2/0.9 inches

z = 0.2

Using Z-score table to find the area of 0.2

z=0.57926*100

z=57.926%

Therefore the probability that it is less than

16.4 inches long is 57.926%

4/x = 2/7 please help ASAP!!

Answers

Answer:

use cross multiplication to solve

4*7 = 2*x (multiply)

28 = 2x (divide both sides by 2 to isolate x )

x = 14 (your answer)

Step-by-step explanation:

I hope this helped :)

Answer:

Step-by-step explanation:

Or,2×x=7×4

Or,2x=28

Or,x=14

List all the factor pairs for 48. make a table to help and add the table.

Answers

Answer:

The factor pairs of the number 48 are: 1 x 48, 2 x 24, 3 x 16, 4 x 12, and 6 x 8

Step-by-step explanation:

Scrat the squirrel has a few nuts. When he put them in groups of 5 nuts, two nuts were left, and
when he laid them out in groups of 3 nuts, there were no nuts left. How many nuts among the
options provided below could belong to Scrat?​

Answers

Answer:

The options are not shown, so i will solve this in a general way.

Let's suppose that there are N nuts

If we divide the N nuts into groups of 5, there will be a remainder of 2 nuts.

If we divide the N nuts into groups of 3, there is no remainder.

This means taht N is a multiple of 3. then we can write:

N = 3*k

where k is a random integer.

Now, we know that when we divide N by 5, there is a remainder of 2 nuts, this means that N is equal to a multiple of 5 plus 2, then we can write:

N = 5*j + 2

where j is a random integer.

Now we only need to find a pair of k and j (both positive integers) such that:

3*k = 5*j + 2

We can rewrite this as:

k = (5/3)*j + (2/3)

Now we could just input different values of j, and see if k is also an integer:

j = 2

k = (5/3)*2 + 2/3 = 10/3 + 2/3 = 12/3 = 4

Then the pair j = 2, k = 4 is a possible solution.

N = 3*k = 3*4 = 12

N = 5*j + 2 = 5*2 + 2 = 12

From this we can conclude that N = 12, so Scrat has 12 nuts.

Now with the equation

k = (5/3)*j + (2/3)

We can find other possible combinations of j and k, that will give different values for N.

for example, if j = 5:

k = (5/3)*5 + 2/3 = 25/3 + 2/3 = 27/3 = 9

Then the pair j = 5, k = 9 is also a possible solution:

N = 3*k = 3*9 =  27

N = 5*j + 2 = 5*5 + 2 = 27

In this case, Scrat has 27 nuts.

Tyrone walked 8 miles in a walkathon at a speed of 2 miles per hour. How long was he walking?
4 hours
6 hours
10 hours
16 hours

Answers

Answer:

4 hours

Step-by-step explanation:

Answer:

the answer is 4 HOURS

Step-by-step explanation:

i took the exam

The price of an item has been reduced by 15%. The original price was  $87.​

Answers

Answer:

The new cost is $73.95

The discount was $13. 05

Step-by-step explanation:

Turn the % into a decimal so it would be 0.15.

Then multiply it to the total, 87 x 0.15 = 13. 05

so the discount subtracted $13.05 off of the original price.

87 - 13. 05 = 73.95

A rectangle is made up of green and red tiles. the ratio of green tiles to red tiles is 3:4. Which of the following could be the number of green tiles in the rectangle?

Answers

Answer:

H) 24

Step-by-step explanation:

24 is the only number that is divisible by 3.

CHECK:

3 x 8 : 4 x 8

24:32✔

(You can try dividing '3' by the other numbers to also check your answer)

Hope this helped ^^

A rectangular mat has an area of 7/12 in2. The length of the mat is 5/6 in. What is the width of the mat

Answers

The width of the mat with the given area and length is 7/10 in.

What is the width of the mat?

The area of a rectangle is expressed as;

A = l × w

Where l is length and w is width.

Given the data in the question;

Area A = 7/12 in²Length l = 5/6 inWidth w = ?

We plug our given values into the above equation and solve for w.

A = l × w

7/12 = 5/6 × w

w = 7/12 ÷ 5/6

w = 7/12 ÷ 6/5

w = 42/60

w = 7/10 in

Therefore, the width of the mat with the given area and length is 7/10 in.

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A figure has been dilated from the origin by a scale factor of one seventh. if another dilation from the origin maps the dilated image back
onto the original figure, what is its scale factor?

Answers

Answer:

its scale factor is 3

Step-by-step explanation:

plz mark brainliest

To map the dilated image back  onto the original figure, the scale factor needed is 7.

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.

Dilation is the increase or decrease in the size of a figure by a factor.

If a figure is dilated from the origin by a scale factor of one seventh, it is given by:

(x, y) ⇒ [(1/7)x, (1/7)y]

To map the dilated image back  onto the original figure, the scale factor needed is 7. Hence:

[(1/7)x, (1/7)y] ⇒ (x, y)

Find out more at: https://brainly.com/question/11707700

Two different expressions equivalent to 8d - 4?
Please help me i need to have the answer for a test!!

Answers

Answer : 8*d -4. and. 8*d -4 + 4

Answer:

4(2d-1) and 2(4d-2)

Step-by-step explanation:

Ed use 3 2/3 cups of peanut butter and 2 cups of powdered sugar to make 1 batch of peanut butter fudge. How much more peanut butter will Ed use than powdered sugar to make 3 batches of fudge?

Answers

Answer:

Ed will use 5 more peanut butter  than powdered sugar to make 3 batches of fudge(11-6=5)

Step-by-step explanation:

3 2/3 cups of peanut butter (x)

2 cups of powdered sugar(y)

for every one batch you need 2 cups, and for 3 batches you need 6 cups of powdered sugar(2*3=6)

and  for every batch you need 32/3 cups of peanut butter and for three batches you need (3 2/3 *3)= 11/3 *3=33/3=11 cups of peanut butter to make the fudge

Ed will use 5 more peanut butter  than powdered sugar to make 3 batches of fudge(11-6=5)

Solve the equation + 6 = 2.
Question 13 options:

A)

No Solution

B)

a = 13

C)

a = 7

D)

a = 61
Question 14 (5 points)
Solve the equation 10 + y√
y
= 14

Question 14 options:

A)

y = 576

B)

y = 4

C)

y = 16

D)

y = 2

Answers

The answer is a=7 because you have to do 7-6 which equals to 2 which a=7 is the right answer

3x-2y=1x+4y=33 elimination process ​

Answers

Answer:

x = 5 ; y = 7

Step-by-step explanation:

3x - 2y = 1       --------------------(I)

 x + 4y  = 33 ------------(II)

Multiply equation (II) by (-3) and then add. So, x will be eliminated and we can find the value of y

(I)            3x - 2y = 1

(II)*(-3)   -3x -12y = -99         {Now add}

                 - 14y = -98

                        y = -98/14

y = 7

Plugin y = 7  in equation (I)

3x - 2*7 = 1

  3x - 14 = 1

         3x = 1 + 14

         3x = 15

           x = 15/3

x = 5

50. If angles are complementary, what’s value of x?

Answers

Answer:

x = 14

Step-by-step explanation:

For complementary angles, the sum of two angles is equal to 90 degrees.

We have,

[tex]m\angle ABC = 4x-10\\\\m\angle DBC = x+30[/tex]

ATQ,

[tex]4x-10+x+30=90[/tex]

Taking like terms together,

4x+x =90-30+10

5x = 70

x = 14

So, the value of x is 14.

Write the slope intercept form of the equation of the line through the given points

Answers

Answer:

9) y = -3x - 4

10) y = -1/3x + 14/3

11) y = x - 1

12) y = -7/5x - 18/5

13) y = 3/5x + 9/5

14) y = -2x - 3

Step-by-step explanation:

For this explanation, let's use the last problem as the example. You would use the formula y=mx+b. The first thing you would need to find would be the slope, or m. So, you would find the slope and conclude the answer is -2. After that, you would solve for b and get the answer. Hope this helped!

Beth put $8,000 in a savings account. At the end of a year
the account had earned $720 in interest. What was the
yearly interest rate on the account?

Answers

the answer would be 8,720 i believe!!

Answer:

It's %9.0.

Step-by-step explanation:

Hong made $323 for 17 hours of work

At the same rate, how much would he make for 7 hours of work

Answers

Answer:

$153

Step-by-step explanation:

323/17=19

19x7=153

30 POINTS WOWWWWWW plz answer :)

Answers

Answer:                                                                                                                                      

Step-by-step explanation:

What is the answer to this question?

Answers

Answer:

the answer is the top right option

Step-by-step explanation:

4xr=14 pls i need help.

Answers

Answer: x =7/2 or r = 7/2 so this means there the same.

Step-by-step explanation:

>> Answer

_________

[tex] \: [/tex]

4 × r = 14

4r = 14

r = 14/4

r = 7/2

r = 3½ or 3,5

These are so annoying

Answers

Answer:

a=4

b=6

perimiter=38

Step-by-step explanation:

you take the side lengths by it and you can subtract and stuff then you add them all up to find the perimeter

Answer:

3-9=6 and 6-10=4

Step-by-step explanation

part of b is cut by 3 as u can see above and 9 is at the bottom on which the part is cut, as for the other one 10 is the main line and is cut by 6. so u just have minus the main line aka the long line by a parallel line next to it

Geometry question plz help

Answers

Answer:

I think A

Step-by-step explanation:

I GIVEEE BVRAINLILSDTTTTTTTT

Answers

Answer:

c=10,3

D=0,3

E=0,6

F=10,6

pls give brainliest

Answer:

ghtfgngngnfgjyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyy

Step-by-step explanation:

ngfngfnfgnfgnfg

Find the value of x ​

Answers

Answer:

x=20°

Step-by-step explanation:

The triangle is equilateral. (All sides are the same).

Each angle in an equilateral triangle is 60.

3x=60

x=20°

Solve using Graphing. x-y=-7 2x+9y=19

Answers

Answer:

(-4, 3)

General Formulas and Concepts:

Algebra I

Solving systems of equations by graphing

Step-by-step explanation:

Where the 2 lines intersect would be the solution set to the systems of equations.

Please help me asap this is due in 10 min Ill also mark brainliest

Answers

As we know that formula of area of circle is πr²

So let's apply formula

π×8.6×8.6

=232.2

=200 is the nearest hundredth.

You have to do rest of all through this method.

1) 232.35 2) 52.81 3) 373.25

Percy bought an encyclopedia pried at $13.85 shipping and handing cost an additional 20 percent of the price

Answers

Answer:

Percy spent $2.77 for shipping and handling.

Step-by-step explanation:

2.77 is 20 percent of 13.85

4. A rectangle has a diagonal of 8 cm. The diagonal creates a 60° angle at the base of the rectangle.
[2]
a. Draw a picture of the rectangle
[4]
b. Write an EXACT expression for the base and the height of the rectangle.
[2]
C. Use your expressions to find the EXACT area of the rectangle.

Answers

9514 1404 393

Answer:

  a) see attachment

  b) base: 4, height: 4√3

  c) area: 16√3

Step-by-step explanation:

a) The figure is drawn in the attachment

__

b) The side lengths of a 30-60-90 right triangle have the ratio ...

  1 : √3 : 2

Multiplying these by 4 gives the side lengths of each triangle created by the diagonal. The base (short leg) is 4 units; the height (long leg) is 4√3 units.

__

c) The area is the product of base and height:

  A = bh

  A = 4(4√3) = 16√3 . . . . square units

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