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

What is the value of x?

Answers

Answer:

I have no idea. But I just want to let you know to not put this many points, because people are going to take them without answering the question. And I don't know the answer because there are multiple x's.

Answer:

x = 8

Step-by-step explanation:

Remark

I agree with the other responder. You need only pay 20 points to get our attention. (20 will give us 10).

The length from the intersect point to the circle times the entire length of the secant is equal to any other secant divided up the same way.

Put simpler

Equation

(x + 2)(x + 2 + 2x- 8) = (x + 1)(x + 1 + 2x - 5)

Combine like terms

Solution

(x + 2)(3x - 6) = (x + 1)(3x - 4)                    Remove the brackets on both sides.

3x^2 + 6x - 6x - 12 = 3x^2 + 3x - 4x - 4   Combine the like terms

3x^2 - 12 = 3x^2 - x - 4                             Subtract 3x^2 from both sides

- 12 = - x - 4                                               Add 4 to both sides

-12 +4 = - x

- 8 = - x                                                      Multiply both sides by -1

x = 8

The cube has a side length of 2 3/4*
Find the lateral surface
area of the cube

Answers

Step-by-step explanation:

The cube have 6 sides.

The 2 sides are base surface and the other 4 are lateral surface.

A=4L

4A=4❨4L)

4A=16L

4A=16(2 3/4)

4A=16(11/4)

4A=4(11)

4A=44

so the lateral surface is 44

A die is rolled 3. What is the probability of getting a 1 on the first roll, a 2 on the second roll, and a 3 on the third roll

Answers

Answer:

The probability of getting 1,2 and 3 after rolling once , second and thrice is

1/6

Step-by-step explanation:

These are all independent events.

The sample space = [1,2,3,4,5,6]

A die has 6 sides

1. If this die is thrown once, the probability of getting a 1 is = 1/6

2. If we roll the dice a second time, the probability of getting a 2 is independent from the first time it was rolled, so the sample space remains the same. The probability is also 1/6

3. If we rolled a 3rd time the probability remains 1/6 also

1½–¾ what is the answer to this fraction ​

Answers

Answer:

0.75 or 3/4

Step-by-step explanation:

~Convert the mixed numbers into improper fractions

~Then find the LCD (Least Common Denominator) and combine

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

GL.

Answer:

3/4

Step-by-step explanation:

1½ = 3/2

3/2 _ 3/4 =

[tex] \ \frac{3 \times 2}{2 \times 2} - \frac{3}{4} [/tex]

[tex] \frac{6}{4} - \frac{3}{4} = \frac{6 - 3}{4} = \frac{3}{4} [/tex]

If Kate is 14, what was her age x years ago?

Answers

You didn’t input the whole question. There is no way to solve this as it is

i need help with this..​

Answers

Answer:

a = 9

Step-by-step explanation:

sin45 = a/9√2

a = 9√2(sin45)

a = 9

Please help ASAP i don’t know how to do this

Answers

Answer:

c = 74

d = 122

a = 58

b = 48

Step-by-step explanation:

C: a triangle always equals to 180, so 48 + 58 - 180 = 74

D: Angels next to each other on a line always equal to 180, so 180 - 58 = 122

A: Alternating interior angles of a parallel line equal to each other, so it would also be 58

B: A line is 180, so C + A - 180 = B, 74 + 58 - 180 = 48

Q7: Subtract

(a) -6x – 3 from 2x – 5,

(b) 6x – y + 5z from 10x – 2y + z,

(c) 8p + 99 – 5rs from 4p – 49 + 15sr,

(d) 8a – 3b + 50 – 4d from 10a – b - 40 - 8d.​

Answers

Here is your answer

What are the measures of ∠1, ∠2, and ∠3?

Answers

You did not put a picture. I can probably figure it out if you put a picture.

Answer:

wjdh

Step-by-step explanation:

wqd

After a cab ride, Jacob's total fare was $35. He paid the cab driver a 15% tip. How much was the tip? Thank you and plz hep i will be putting more and more questions about 4 more

Answers

Answer:

$5.25

Step-by-step explanation:

Given data

Total cost for the ride= $35

Tip= 15%

Let us find 15% of $35

=15/100*35

=0.15*35

=$5.25

Hence the amount of the tip is $5.25

What is the solution to the equation 38.18 + x = 82.06? A. 44.88 B. 43.88 C. 56.12 D. 44.12

Answers

Answer:

A

Step-by-step explanation:

Simplify both sides x+38.18=82.06

subtract 38.18 from both sides

x+38.18-38.18=82.06-38.08

x=43.88

What are some solutions to the inequality x>6?

Answers

Answer:

anything that is greater than 6 like 7, 8, 9, 10, 11, etc...

cuz the inequality would be true; 7 > 6, 10 > 6, etc...

Step-by-step explanation:

hope this helps...

(─‿─)

a recipe requires 2/3 cup of sugar to make one cake what is the maximum number of cakes that can be made using 4 1/2 cups of sugar​

Answers

Answer:

6

Step-by-step explanation:

2/3, 1 1/3, 2, 2 2/3, 3 1/3, 4

Helllohello help please if you want -

Answers

3(7d + 4e) = 3 • 7d + 3 • 4e = 21d + 12e



Jessica paid $23,000 for her car. The value of the car depreciates at a rate of 15% each year. Which function represents the value of her car each year?

Answers

Answer:

Step-by-step explanation:

DOES ANYONE KNOW THE ANSWER

Helpppp me pleaseee

Answers

Answer:

1 st questions answer is  third option

while the answer of other question is  3

Step-by-step explanation:

2nd qestions explanation

put value of x=2 in equation as x-2=0 from equation

(2)^3-6(2)^2+a2+10=2

8-24+a2+10=0

2a=-18+24

2a=6

a=3

The cylindrical block has a height of 4 inches and a radius of 2 inches find the total surface area of the block

Answers

Answer:

75.4 square inches

Step-by-step explanation:

The cylindrical block has a height of 4 inches and a radius of 2 inches find the total surface area of the block

The formula for the Total surface area of a cylinder

= 2πr (r + h)

= 2 × π × 2( 2 + 4)

= 75.398223686 square inches

= 75.4 square inches

The total surface area of the cylindrical block is 75.4 square inches.

Urgent: Find value of X

Answers

Answer:

x=44 degrees

Step-by-step explanation:

A line = 180 degrees

Given degrees: 136

180-136= 44

yes x=44 because it is a straight line that equals 180


What is the y-intercept of each graph?
Explain.

Answers

Answer:

Step-by-step explanation:

The intercepts of a graph are points at which the graph crosses the axes. The x-intercept is the point at which the graph crosses the x- axis. At this point, the y- coordinate is zero. The y-intercept is the point at which the graph crosses the y- axis. At this point, the x- coordinate is zero.

the y-intercept is the point where the line crosses over the y-axis (the up and down line)

3 boys shared a box of chocolate. The first boy got 3/8 of the total and the 2nd boy got 2/5 of the remainder and the 3rd boy got 9. How many chocolates were in the box and how many did the boy with the smallest share get?​

Answers

Answer:

1. there were 24 chocolates in the box at first.

2. the boy with the smallest share received 6 chocolates.

Explanation:

let's represent the number of chocolates in the box with 8x.

the first boy got ⅜ × 8x  = 3x chocolates. now, there are 8x - 3x = 5x chocolates remaining.

the second boy got ⅖ × 5x = 2x chocolates. now, there are 5x - 2x = 3x chocolates remaining.

3x = 9 chocolates

x = 3 chocolates

since the original number of chocolates was represented by 8x, we now know that there were 8 × 3 = 24 chocolates in the box at first.

the first boy got 9 chocolates, the second boy got 6 chocolates and the last boy got 9 chocolates. thus, the boy with the smallest share got 6 chocolates.

i hope this helps! :D

If three the coordinates of a quadrilateral are at A(3,2), B(-4, 2), and C(-4, -1). What are the coordinates of the 4th corner, point D?

Answers

(3,-1)

it should shape like a square or rectangle when you plot it

hope it helps !

1. How many goldfish do you have if 30% of the entire population of 20 fish in your tank are goldfish?

Answers

Answer:

6 Goldfish

Step-by-step explanation:

Answer:

66.6 becuz you divide it

Please help due in 15 minutes!!!!!

Answers

Answer:

44ft

Step-by-step explanation:

The formula for circumference is 2 * π * radius and in this case we want to use 3.14 for π and so we do 2 x 3.14 x 7 because the radius is half of the diameter (14) and once you do that you end up getting 43.96 and once you round you get 44ft so you are correct.

The area of a triangle is 36 sq cm. The triangle's height is 8 cm. What is the length of the base of the triangle?

Answers

Answer:

9 cm

Step-by-step explanation:

Given :

Area, A = 36cm²

Height, h = 8cm

Using the relation :

Area, A of triangle :

A = 1/2 * base * height

36 = 0.5 * base * 8

36 = 4 * base

base = 36 / 4

Base = 9 cm

Length of base is 9cm

Find the area of AABC with A = (1,3), B = (5, 7), and
C = (6,3).

Answers

Answer:

A=L×B

A=1×3

A=3cm²

B=L×B

B=5×7

B=35cm²

C=L×B

C=6×3

C=18cm²

find area will mark brainlist

Answers

Answer:

I hope this helps you

Step-by-step explanation:

A = 1/2 h (a+b)

= 1/2 × 8 (15+21)

= 1/2 × 36 × 8

= 36×4

= 144

Answer:

29

Step-by-step explanation:

18+15=23 8+21=29

Sandra runs A new personal best in the hundred meter dash her average speed is 7.4 m/s how long to the nearest hundredth does it take her to run the race

Answers

Answer:

[tex]13.51\ \text{s}[/tex]

Step-by-step explanation:

[tex]s[/tex] = Average speed of Sandra = [tex]7.4\ \text{m/s}[/tex]

[tex]d[/tex] = Distance Sandra ran = [tex]100\ \text{m}[/tex]

Time is given by

[tex]t=\dfrac{d}{s}[/tex]

[tex]\Rightarrow t=\dfrac{100}{7.4}[/tex]

[tex]\Rightarrow t=13.51\ \text{s}[/tex]

The time it takes Sandra to run the given distance is [tex]13.51\ \text{s}[/tex].

Due today!!!!!!! Help!!!!!!

Select all of the quadratic expressions in vertex form.

Group of answer choices

(x−2)2+1


x2−4


x(x+1)


(x+3)2


(x−4)2+6

Answers

Answer:

All except x2-4 and x(x+1)

Step-by-step explanation:

Standard Form: ax^2 + bx + c

Vertex Form: a(x - h)^2 + k

Hope that helps you!!

The total of your bill at the restaurant is $42.50.You want to leave a 10%tip. What is the amount of money you would leave for the tip. Brainly

Answers

Explanation is in the file

tinyurl.com/wpazsebu

10%=0.1
$42.50 x 0.1= $4.25 tip

Nathaniel goes to a store an buys an item that costs xx dollars. He has a coupon for 40% off, and then a 7% tax is added to the discounted price. Write an expression in terms of xx that represents the total amount that Nathaniel paid at the register.

Answers

Answer: He pays x*0.642

Step-by-step explanation:

Suppose that we have an object with an initial price P.

If we have a discount of X%, then the new price will be:

NP = P*(1 - X%/100%)

And if we have an increase of X%, the new price is:

NP = P*(1 + X%/100%)

In this case, we have an initial item that costs x dollars, first we have a coupon for 40% off, then we have a discount of 40%.

Then the new price is:

NP = x*(1 - 40%/100%) = x*(1 - 0.4) = x*0.6

Now we add a tax of the 7%, then the final price will be:

FP = (x*0.6)*(1 + 7%/100%) = (x*0.6)*(1 + 0.07) = x*(0.6*1.07) = x*0.642

This is the total amount he pays at the register.

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