Jeremy has $120 in his saving account. Katie had $180 in her account. Each week Jeremy adds $14.00 to his account and Katie adds $10 to her. How many weeks before Jeremy and Katie have the same amount of money saved up

Answers

Answer 1

Answer:

15 weeks

Step-by-step explanation:

Let the number of weeks = x.

At the end of x weeks,

Jeremy has 120 + 14x,

and Katie has 180 + 10x

We want to know when their amounts are equal.

120 + 14x = 180 + 10x

4x = 60

x = 15

Answer: 15 weeks

Answer 2

Answer:

15 weeks

Step-by-step explanation:

One is given the following information:

Jeremy

Starts with $120Adds $14 every week to his account

Katie

Stars with $180Adds $10 every week to her account

Let the parameter (x) represent the number of weeks passed. Parameter (y) is the amount in the account, (S) represents the amount in the account to start with and (A) represents the amount added to the account every week. One can use the following general equation to represent the situation:

y = S + Ax

Substitute the given information into the equation for each person:

Jeremy: y = 120 + 14x

Katie: y = 180 + 10x

One is asked to find the point in time when the two account have the same amount of money. Therefore, set the two equations equal to each other and solve:

y = 120 + 14x = 180 + 10x

Inverse operations,

120 + 14x = 180 + 10x

4x = 60

x = 15

15 weeks will pass before Katie and Jeremy have the same amount of money in their accounts.


Related Questions

How would I find cos(180º) without a calculator?

Answers

Answer:

Step-by-step explanation:

The cos of an angle is the adjacent / hypotenuse.

In this case the adjacent and hypotenuse are the same length so the answer is 1 in some form.

You are going left when you talk about 180 degrees. So the adjacent = - 1

The answer you want is -1 / 1

Cos(180) = - 1

what is value of y if 2x+3y=4​

Answers

Answer:

y=(4-2x)/3

Step-by-step explanation:

3y= 4-2x

y= (4-2x)/3

What are factorials? And how do you do them in fractions like
4!5!
——- How do you do that question? And why do you leave
6! The 5! without anything, like why does it not go like
(5)(4)(3)(2)(1)? Why is it like that?

Answers

I think that it is 54

The number of pairs of corresponding angles formed by a transversal of two
lines is

Answers

Answer:

When a transversal intersects with two parallel lines eight angles are produced. The eight angles will together form four pairs of corresponding angles.

this is the question. please help me​

Answers

Answer:

a.) 19.2cm

b.) 0.15375cm

Step-by-step explanation:

Cylinders are similar, so:

h1 / r1 = h2 / r2

8cm / 5cm = h2 / 12cm

h2 = (8cm × 12cm) / 5cm

h2 = 19.2cm

Same for b

32000cm2 / 246cm = 20cm2 / length

length = ((20 × 246) / 32000) cm

length = 0.15375cm

CAN YALL HELP ME WITH PYTHAGOREAN THEOREM

Answers

Answer:

c=82

Step-by-step explanation:

Answer:

The answer is 82!

Step-by-step explanation:

(18)^2 + (80)^2 is 6724, which has a square root of 82.

số nào sau đây là nghiệm của đa thức x^2-2x+1

Answers

[tex]x^{2}[/tex]-2x+1=0

[tex](x-1)^{2}[/tex]=0

x-1=0

x=1


The ratio of the corresponding dimensions of two similar parallelograms is 3.1. The
ratio of the base to height for each parallelogram is 5:4. If the height of the smaller
parallelogram is 100, what is the base of the larger parallelogram?
A А
125
В.
240
C.
300
D.
375

Answers

B sorry if I’m wrong

how long will the sum of Rs 5,000 take to reach the amount RS 8750 at the rate of 15% per annum​

Answers

Answer:

It will take 5 yrs the sum of 5000 will take to reach Rs 8750 at the rate 15%

Step-by-step explanation:

T= ?

Amount = Rs 8750

R = 15%

P = Rs 5000

so

I = A-P

= 8750 - 5000

= Rs 3750

so

I = PTR/100

3750 = (5000*15*T)/100

or, 375000 = 75000*T

or, T = 375000/75000

so T = 5 yrs

Please do a explanation:’)

Answers

Answer:

3x-3xy-2xy-5x+6. ( multiply the number that were outside the bracket)

By BODMAS rule...

= 3x-5x-3xy-2xy+6

= -2x-5xy+6

hope you understood...

Answer and Step-by-step explanation:

We are given an expression to simplify. According to PEMDAS

(Parenthesis, Exponents, Multiplication, Division, Addition, and Subtract [in that order]), we need to start with the parentheses first.

With what we are given, we need to multiply the value outside of the parenthesis to the values inside the parenthesis.

Start with the first set of terms in the expression.

3(x - xy)

We need to multiply 3 to the x and negative xy.

3x - 3xy

Now we go to the next set of terms in the expression.

-x(2y + 5)

Distribute the x (multiply) to the 2y and 5.

-2xy - 5x

Now, we combine like terms within the entire expression.

Combining like terms is essentially saying to combine the terms that have similar properties/values. We have values that have an x with it, and xy with it, and no variables with it. We can combine only the values with the x variable together, and the values with the xy variable can only be combined together. The values without the variables (if you have more than one), will combine only with each other.

3x - 3xy - 2xy - 5x + 6

____________________________________________

-5xy - 2x + 6   <- This is the final answer; the simplified version of the expression.

#teamtrees #PAW (Plant And Water)

Solve T=L(2+RS) for R

Answers

Answer:

Step-by-step explanation:

I would begin by distributing the L. It will be easier in the end to do it this way. There are a couple of ways you can do this, but distribution is the easiest. After you distribute the L you have

T = 2L + LRS

Next subtract the 2L to get

T - 2L = LRS. Lastly, to isolate the R, divide away the LS to get

[tex]\frac{T}{LS}-\frac{2L}{LS}[/tex] = R  In that second term, the L's cancel each other out, leaving us with

[tex]\frac{T}{LS}-\frac{2}{S}[/tex] = R

Enter the location of the point as an ordered pair.
5
-5
-6

Answers

Answer:

(4,1)

Step-by-step explanation:

(4,1) is the correct answer. Answered by Gauthmath

Miguel has lots of candy from Halloween. He has 42 lollipops. He has 6 times as many lollipops as he does chocolates. How many chocolates does he have?

Answers

Answer:

7

Step-by-step explanation:

42 divided by 6 = 7. The answer is 7

A transformation of AKLM results in AK'L'M'.
Which transformation maps the pre-image to the image?
O dilation
O translation
O reflection
O rotation
K
K
M
M

Answers

The transformation that maps the pre-image to the image is given as follows:

Dilation.

How to identify the transformation?

The four types of transformation listed in this problem cause these following changes:

Translation: only the position of the figure changes, the orientation, the inclination and the side lengths remain constant.Reflection: The orientation of the figure changes.Rotation: The inclination of the figure changes.Dilation: The side lengths of the figure change, while the angle measures remain constant.

From the image, we get that the side lengths were doubled, while the angle measures remained constant, meaning that the transformation is a dilation and the first option is the correct option.

More can be learned about transformations at https://brainly.com/question/28792248

#SPJ1

Answer:

dilation

Step-by-step explanation:

took the test

Scott and Ashley each improved their yards by planting daylilies and ivy. They bought their
supplies from the same store. Scott spent $170 on 12 daylilies and 13 pots of ivy. Ashley spent
$172 on 14 daylilies and 2 pots of ivy. What is the cost of one daylily and the cost of one pot of
ivy?

Answers

Answer:

x = cost of daylily = $12

y = cost of ivy = $2

Step-by-step explanation:

Let

x = cost of daylily

y = cost of ivy

Scott:

12x + 13y = 170

Ashley:

14x + 2y = 172

12x + 13y = 170 (1)

14x + 2y = 172 (2)

Multiply (1) by 14 and (2) by 12

168x + 182y = 2380 (3)

168x + 24y = 2064 (4)

Subtract (4) from (3) to eliminate x

182y - 24y = 2380 - 2064

158y = 316

y = 316/158

y = 2

Substitute y = 2 into (1)

12x + 13y = 170 (1)

12x + 13(2) = 170

12x + 26 = 170

12x = 170 - 26

12x = 144

x = 144/12

x = 12

x = cost of daylily = $12

y = cost of ivy = $2

can someone pls help me!! :)

Answers

Answer:

I think the answer is B

Suppose AABC = AEFD, AEFD = AGIH, ZA = 90°, and mZF= 20°. What is mZH?
a. 20°
b. 70°
C. 90°
d. Cannot be determined

Answers

90+20= 110, a triangle is 180° so therefore, 180-110= 70. The answer is B!

Please help will give brainliest

Answers

Given:-

[tex]x {}^{2} + 17x + 30[/tex]

Factorising It

[tex]x {}^{2} + 2x + 15x + 30 \\ \\ = x(x + 2) + 15(x + 2) \\ \\ = (x + 2)(x + 15)[/tex]

[tex] \therefore[/tex] A= 2 And B= 15

Hope This Helps You ❤️

Which ordered pairs are in the solution y-1/3x+2
Y 2x+3

Answers

Answer:

(-1/3, 2) and (2, 3)

Step-by-step explanation:

a, 0,03m3=............ dm3=...........cm3

Answers

Answer:

0.03 m³ = 30 dm³ = 30000 cm³

O.03m3=30dm
0.03m3=30000000cm3

Also called regrouping this is when adding numbers results in more than two digits and one digit is placed in the colum to the left

Answers

Answer:

Carrying forward.

Step-by-step explanation:

When regrouping is done to add the numbers where results in a more than 2 digit and one digit is placed to left Colum is called as carrying forward. As regrouping refers to carrying the place values in order to perform operations like addition or subtraction.

I’ll mark u as a brainliest!! pls help me

Answers

Answer:

Shorter leg is 7

Bigger leg is 7√3 = 12.1 (rounded to the nearest tenth)

10) It takes 1 'A cups of sugar and 3 cups of flour to make Sarah's cookies. What is the ratio of sugar to cookies?​

Answers

Answer:

Step-by-step explanation:

Hello!

1-3

Find X
Round to the nearest tenth

Answers

Answer:

x=437.3 ft

Step-by-step explanation:

cos(29)=B/H, cos(29)=x/500. x=437.3 ft

The foot of a ladder is placed 18 feet from a wall. If the top of the ladder rests 24 feet up on the wall, find the length of the ladder.

Answers

Answer:

30 ft

Step-by-step explanation:

Because the wall and floor form a right angle, then

a**2 + b**2 = c**2

18**2 + 24**2 = c**2

324 + 576 = c**2

900 = c**2

30 = c

Find the measures of angles​ 1, 2, and 3.
Two perpendicular lines cross each other. Another line rises from left to right intersecting the perpendicular lines where they both intersect. Angles labeled 1, 2, 3 and 57 degrees are shown. Angle 1 is opposite of angle 3. Angle two is opposite to a right angle. Angle 57 degrees plus angle 1 is a right angle. Angle 3 plus the angle opposite of angle 57 degrees is a right angle.

Answers

57 degrees and 27 degrees
oh

An article in Fortune (September 21, 1992) claimed that nearly one-half of all engineers continue academic studies beyond the B.S. degree, ultimately receiving either an M.S. or a Ph.D. degree. Data from an article in Engineering Horizons (Spring 1990) indicated that 117 of 484 new engineering graduates were planning graduate study. Are the data from Engineering Horizons consistent with the claim reported by Fortune

Answers

Answer:

unless this is a stats question and you are suggesting that you have bad sampling techniques being used

117/484 is about 24% that is 100% under the "about 50%" stated in the article

Step-by-step explanation:

If the dimensions of a pentagonal prism are quadrupled, then the surface area of the prism is multiplied by eight.

True False

Answers

Answer:

false

Step-by-step explanation:

the relationship between lengths/dimensions and areas is that areas are created by multiplying 2 dimensions.

when you quadruple (×4) the dimensions, then the areas are growing with the square of the factor (×4×4 = ×16), because the factor goes twice into the multiplication : one time for every dimension involved.

so, quadrupling the dimensions would multiply the areas by 16.

A picture is 46 cm by 32 cm. A scale diagram of the picture must fit in a space that is 3 m by 2 m. Which scale would be the most reasonable one to use for the scale diagram?

Answers

Answer:

A picture that is 46cm by 32 cm must fit in a space that is 3m by 2m

First, let's rewrite both of these dimensions in the same units.

Knowing that:

1m = 100cm

Then the dimensions of the space can be rewritten from:

3m by 2m

to:

300cm by 200cm

So, if we enlarge our original picture by a scale factor K, the new dimensions of the picture will be:

K*46cm by K*32cm

Now we just need to find a value of K such that:

K*46cm is something near to 300cm

K*32cm is something near to 200cm

First, we can solve the equation:

K*46cm = 300cm

solving this for K we get:

K = 300cm/46cm = 6.5

While if we solve the equation:

K*32cm = 200cm

we get:

K = 200cm/32cm = 6.25

So we got two possible scale factors.

Which one we should take?

Notice that if we wanted to use the larger one (K = 6.5) for the 32cm side. the new length would be:

32cm*6.5 = 208cm

This is larger than the 200cm of space that we have

Then we can not select the larger option, we can only take the other value:

K = 6.25

Then we can conclude that a reasonable scale factor to use is K = 6.25

Predict what will happen to the graph of the line 2y=3x-6 if the slope was changed to 2

Answers

Answer:

y = 3/2x-3 vs. y = 2x-3

Step-by-step explanation:

2y=3x-6  ------ y = 3/2x-3

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