Wyatt and his little sister are saving up money to buy a joint birthday present for their mother. Wyatt already has $20 saved and plans to save $7 per week from his allowance. His sister has $14 saved so far and will save $9 per week from hers. The two siblings will soon have saved the same amount towards their mother's gift. How much will each one have saved? How long will that take?

Answers

Answer 1

Answer:

The two siblings will have saved the same amount towards their mother's gift after 3 weeks.

Amount saved by Wyatt = [tex]\$41[/tex]

Amount saved by Wyatt's sister = [tex]\$41[/tex]

Step-by-step explanation:

Let [tex]t[/tex] (in weeks) denotes the time period by which  the two siblings will have saved the same amount towards their mother's gift.

Wyatt already has $20 saved and plans to save $7 per week from his allowance.

Amount saved by Wyatt = [tex]20+7t[/tex]

Wyatt's sister has $14 saved so far and will save $9 per week from hers.

Amount saved by Wyatt's sister = [tex]14+9t[/tex]

To find the time period by which the two siblings will have saved the same amount towards their mother's gift,

solve the following equation.

[tex]20+7t=14+9t\\20-14=9t-7t\\6=2t\\3=t[/tex]

So, the two siblings will have saved the same amount towards their mother's gift after 3 weeks.

Amount saved by Wyatt = [tex]20+7(3)=20+21=\$41[/tex]

Amount saved by Wyatt's sister = [tex]14+9(3)=14+27=\$41[/tex]


Related Questions

please help i’ll give brainliest if you give a correct answer

Answers

Answer:

a

Step-by-step explanation:

a ..................

Mrs. Vance buys 710 grams of strawberries.
She has 210 grams of strawberries left after making
5 glasses of strawberry smoothie.
How many grams of strawberries does she use for a glass?


How do you do it using a bar model

Answers

142 grams because 710 divided by 5 is 142 and she made 5 glasses with 710 grams.

if I'm wrong tell me I'll re do my equation

Complete the table of values for y = x2 – 2x.
(2 marks)
x – 2
-1 0 1
2
34
y
3 0
3
Submit Answer
Skip for Now

please fast

Answers

Answer:

8

-1

0

8

Step-by-step explanation:

What is the value of x

Answers

b is your correct answer hope help you

PLEASE HELP I HAVE 10 MINUTES LEFT!
label each pair of triangles with the postulate or theorem that proves the triangles are congruent.

Answers

Im actually having my teacher look at this one right now. Give me a second.. My teacher said try side angle side... I have no idea

Find the smallest value of m such that the LCM of m and 34 is 374.

Answers

Answer:

11

first you use a number tree

34 374

/\ /\

2 17 2 187

/\

11 17

express the numbers in prime factors

374=2×11×17

34 =2×17

in finding LCM you use the highest prime factors in this case the highest prime factors are 2, 11 and 17

So m factors are 2 and 11

which means m is 2×11=22

22 in its smallest form is 11

There are 12 girls at a slumber party. 2/3 of the girls brought a sleeping bag. How many girls brought a sleeping bag?

Answers

Answer:

8 girlies

Step-by-step explanation:

12/3=4

4x2=8

Answer:

8

Step-by-step explanation:

since there are 12 girls we have an x amount of girls who brought sleeping bags and 12-x for those who didn't. so

x/12=2/3

multiply both sides by 12

(x/12)12=(2/3)12

x=8

Hope that helps :)

Julie works in a leisure centre. Part of her duties is to prepare personal fitness plans for her clients.
Her April payslip is only partially completed.
Name
Employee No.
Tax Code
Month
J. Bond
007
1060L
April
Basic Pay
Overtime Pay
Bonus
Gross Pay
£1,376
National Insurance
Income Tax
Pension
Deduction
£120.02
£130.98
Net pay
£
what's her gross pay

Answers

Answer:

Janelle is applying to work a full-time job next summer. So far, her only paid work experience has involved with babysitting. She's worried that she lacks the skills

£120.02

£130.98

£1,376

find the axis of symmetry for f(x)=-3x^2+5x-6

Answers

Answer:

x= -5/6

Step-by-step explanation:

formula for axis of symmetry is

-b/2a

so,

-5/2(-3)

= -5/-6

= 5/6

17. Write an equation in slope-intercept form for the line perpendicular to y = 3x - 9 that passes through the point (9,-9). Explain how you got your answer.

Answers

Answer:

y=-1/3x-6

Step-by-step explanation:

Perpendicular lines have slopes that are negative and reciprocal; if you multiply them together, the result is -1

so, to find the slope of the new line:

3m=-1

divide by 3

m=-1/3

the slope of the new line is -1/3

Slope-intercept form is written as y=mx+b, where m is the slope and b is the y intercept.

Here's our equation so far:

y=-1/3x+b

since the line passes through the point (9,-9), we can use it to solve for b

substitute into the equation:

-9=-1/3(9)+b

-9=-3+b

-6=b

b is -6

here's our equation

y=-1/3x-6

hope this helps! :D

Whatis the area of the figure below? Write your answer in square feet.
15 ft.
8 ft.

Answers

Answer:

60ft²

Step-by-step explanation:

A=½l×w

=½×8×15

=60

pls help .............​

Answers

The answer is A. k/6 + 8 - 2/k

Please help me. Find mQ, mR, and mS please

Answers

Step-by-step explanation:

since they are angles and there are three of them. Assume that they are part of a triangle. That is all I can do until you give more information about the problem. lmk down in the comments on the side length or whatever the problems asks for.

have a good day :)

Where’s the picture or any other information so I can try to answer

If Triangle ABC~ triangle DEC, find the value of x and the scale factor from DEC to ABC





Answers

Answer:

see explanation

Step-by-step explanation:

The scale factor is the ratio of corresponding sides, image to original, that is

scale factor = [tex]\frac{AC}{DC}[/tex] = [tex]\frac{25}{20}[/tex] = [tex]\frac{5}{4}[/tex]

Then

[tex]\frac{AB}{DE}[/tex] = [tex]\frac{3x-2}{2x}[/tex] = [tex]\frac{5}{4}[/tex] ( cross- multiply )

4(3x - 2) = 10x

12x - 8 = 10x ( subtract 10x from both sides )

2x - 8 = 0 ( add 8 to both sides )

2x = 8 ( divide both sides by 2 )

x = 4

help me really plz!!!

Answers

Answer:

I have made it in above picture

HELP ME PLZZ, ASAP!!

Answers

I’d say first, second and last I’m not sure tho, so don’t take my word for it

Plz show work if ya can so I can understand this thanks

Answers

Answer:

area = 57√3 cm²

Step-by-step explanation:

lower polygon:

14-8 = 6, 6/2 = 3

3 is the base of the lower left triangle

cos 60° = 3/hypotenuse

hypotenuse = 6

height of triangle² = 6² - 3² = 45

height of triangle² = 36 - 9 = 27

height of triangle = √27 = √(9 x 3) = 3√3

area of lower polygon = 1/2(8+14)(3√3) = 33√3 cm²

upper parallelogram:

area = 8(3√3) = 24√3 cm²

total area = 24√3 + 33√3 = 57√3 cm²

Law of Sines: Homework please help

Answers

Answer:

37+12 =49_218+54=4554472287/41


How many cubes with side lengths of 1/3
cm does it take to fill the prism?

Answers

Answer:

48 cubes

Step-by-step explanation:

You could fit these cubes with side lengths of 1/3 cm inside a rectangular prism with dimensions of 1 cm x 2 2/3 cm x 2/3 cm.

Here’s a picture of it

Answers

Answer:

Scientific notation: 2.08×10∧2

Expanded form: 208

Use substitution to find the solutions to the systems.

Answers

Answer:

NOCC CD REDSA  DFRESB BGF  DDDFGFDSDF

Step-by-step explanation:

Okay you can set them equal to each other...

5.) y = x^2-7x+4; y = x-3
x-3 = x^2-7x+4
x^2-8x+4 = 0
(x-1) (x-7)
x = 1, 7

6.) y = x^2-5x+10; y = 2x^2-6x+4
x^2-5x+10 = 2x^2-6x+4
x^2-x-6 = 0
(x-3)(x+2)
x = 3, -2

Find the value of x that makes a||b. (2x+25) 55

Answers

Answer:

x= 50

Step-by-step explanation:

2x + 25 = 180 - 55

For problem 5, use the ordered pairs to answer the following question. MUST SHOW YOUR WORK FOR FINDING SLOPE.

Answers

Answer:

graph them and then see if they intersect(but if you notice that the coordss of the second line are all smaller than the coords of the first line, meaning that they wont be touching at all)

Step-by-step explanation:

6) Brad's father asked an engineer to survey the field behind their house. He wanted to plant some orange and tangerine trees there. According to the survey, the field is thirty metres long and twenty-six metres wide. What is the perimeter of the field in kilometres?

Answers

Answer:

the perimeter of the field in kilometers is 112 km

Step-by-step explanation:

The computation of the perimeter of the field in km is shown below:

As we know that

Perimeter is

= 2(length + width)

= 2(30 + 26)

= 2 (56)

= 112 km

Hence, the perimeter of the field in kilometers is 112 km

The graph below shows a company's profit f(x), in dollars, depending on the price of goods x. in dollars, being sold by the
company:


Part A: What do the x-intercepts and maximum value of the graph represent?

Part B: What are the intervals
where the function is increasing and decreasing, and what do they represent about the sale and
profit?

Part C: What is an approximate average rate of change of the graph from x = 1 to x = 3, and what does this rate represent?

Answers

Answer:

What do the x-intercepts and maximum value of the graph represent? The x-intercepts represent the points at the ground, so with that you have the width of the tunnel at ground level is 120 ft - 0 ft = 120

Step-by-step explanation:

PLease help asap - 20 points

Answers

Answer:

this is your answer of your question look it once

Kelly sent packages to her 4 cousins. The
weight of each package was between
12.56 ounces and 15.4 ounces.
Which of the following could be the total
weight of the packages that Kelly sent?

Answers

Answer:

c

Step-by-step explanation:

got it right

Step-by-step explanation:

the total weght could be 15,4_12,56=2,84

Between which two points can you draw a line with a negative slope? Pls answer quick

Answers

Answer:

Between A and C.

Step-by-step explanation:

A negative slope rises to the left  (\).

Answer:

a line between a and c

Step-by-step explanation:

if you were to draw a line between point a and point c the slope would be [tex]-\frac{3}{4}[/tex]

Parallel lines cut by a transversal

Answers

Answer:

x=5

Step-by-step explanation:

Hello There!

The angle labeled 20x and the angle that has a measure of 80 degrees are supplementary angles meaning the sum of the two is 180

so we can create an equation to solve for x

180=80+20x

step 1 subtract 80 from each side

80 - 80 cancels out

180-80=100

100=20x

step 2 divide each side by 20

100/20=5

20x/20=x

we´re left with x=5

8 (hope this helps you)

STION 1
Michael Smith buys and sells lovebirds. He currently has 80 yellow birds and
120 green birds. The birds are equally divided into five cages.
1.1.1
How many lovebirds does Michael have in total?
1.1.2
How many birds are in each cage?
1.1.3
Write the ratio of yellow birds to green birds that Michael has.
Give your answer in simplest form.​

Answers

Answer:

1.1.1- Michael has 200 lovebirds in total

1.1.2- There are 40 birds in each cage

1.1.3- 120/80 = 3/2

Step-by-step explanation:

120+80=200

200÷5=40

120÷40=3, 80÷40=2

Step-by-step explanation:

The picture below shows the food that Michael gives to his lovebirds. He gives Each cage every morning

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