JJill begins the summer with $500 in her savings account. Each week, she withdraws $20. Her brother, Sam,starts the summer with $150 in his account. He adds $30 to his account each week. At what week will both Jill and Sam have the same amount in their account.

Answers

Answer 1

Answer:

7th week

Step-by-step explanation:

Let us represent the number of weeks as x

Jill begins the summer with $500 in her savings account. Each week, she withdraws $20.

$500 - $20× x

500 - 20x

Her brother, Sam,starts the summer with $150 in his account. He adds $30 to his account each week.

$150 + $30 × x

150 + 30x

At what week will both Jill and Sam have the same amount in their account?

We solve this be Equating both Equations together

Jill = Sam

500 - 20x = 150 + 30x

Collect like terms

500 - 150 = 30x + 20x

350 = 50x

Divide both sides by 50

50x/50 = 350/50

x = 7 weeks

Therefore, at the 7 week, Jill and sam would have the same amount in their accounts


Related Questions

math question again:)

Answers

I studied the equanitary problematic wording and come to conclusion that your answer is upon the letter B.

choose the steps that show how to solve this problem using arithmetic

Answers

Answer:

1) find d or distance between numbers

2) equation: an=a1+(n-1)d

3) an is nth term

    a1 is first number in sequence

This is my last question, Can someone please help me? :(

Answers

Answer:

1-the bag contains fewer than 10 carrots

2-Catherine biked farther then 10 miles

3-the chair is shorter then 20 inches

4-Carlos scored over 20 points

Step-by-step explanation:

Joey bought a 3-kilogram bag of carrots from the grocery store. He added 0.8 kilograms of carrots to a pot of vegetable soup. Then, he grated 400 grams of carrots for his carrot cake. How many kilograms of carrots does he have left?

Answers

The amount of carrots Joey has left according to the task content is; 1.8kg.

How many kilograms of carrots does he have left?

It follows from the task content that the quantity of carrots he has initially is; 3 kg.

On this note, upon adding 0.8 kilograms of carrots to a pot of vegetable soup, and grated 400 grams of carrots = 0.4kg, it follows that the quantity of carrot left is;

= 3 - 0.8 - 0.4 = 1.8kg.

Read more on subtraction;

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Divide: 0.287 ÷ 0.035.

Answers

8.2

................

Helen used 14 of her savings for her first year of college. 38 of that money was spent on her housing and meals. Which equation shows the fraction of her total savings that was spent on her housing and meals?

Answers

Answer: 3/32

Step-by-step explanation:

Here's the complete question:

Helen used 1/4 of her savings for her first year of college. 3/8 of that money was spent on her housing and meals. Which equation shows the fraction of her total savings that was spent on her housing and meals?

Since we are told that Helen used 1/4 of her savings for her first year of college and that 3/8 of that money was spent on her housing and meals.

To calculate the fraction of her total savings that was spent on her housing and meals, we would multiply 1/4 by 3/8. This will be:

= 1/4 × 3/8

= 3/32

Please help me out with this

Answers

Answer:

x=1

PR=3x+41

Step-by-step explanation:

So, PQ and QR have a point in common which is x, now let's calculate that first

[tex]6x + 25 = 16 - 3x = = = > \\ 9x = - 9 = = > \\ x = - 1[/tex]

PQ+RQ===> PR

[tex]6x + 25 + 16 - 3x = 3x + 41[/tex]

A rectangular field has these measurements kim walks around the edge of the field. she walks less than 1km. form and solve an equality to find the possible values of t

Answers

The inequality equation for the measurements of the rectangular field must satisfy t<225.

What is an inequality ?

If two real numbers or the algebraic expressions are related by the symbols “>”, “<”, “≥”, “≤”, then the relation is called an inequality.

The length of the rectangle is 2t meters

the breadth of the rectangle is 50 meters

The perimeter of the rectangle is given by 2×(length+breadth)

Here the perimeter of rectangle is less than 1km=1000meter

Forming an equation with the given data

2×(2t+50)<1000

2t+50<[tex]\frac{1000}{2}[/tex]

2t+50<500

2t<500-50

2t<450

t<[tex]\frac{450}{2}[/tex]

t<225

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The correct question is "A rectangular field has these measurements kim walks around the edge of the field. she walks less than 1km. form and solve an equality to find the possible values of t when length of the field is 2t meters and breadth is 50 meters"


Suppose you have a rectangle with length 8 cm and width 3 cm. Now suppose the sides are doubled. Find the percent of
increase in the perimeter.

Answers

Answer:

200%.

Step-by-step explanation:

Original perimeter = 2(8 + 3) = 22 cm

After doubling each side, perimeter = 2(16+6) = 44 - that is twice the original.

Answer is 200%.

0.0001982 in scientific notation

Answers

answer : 0.0001982 in scientific notation = see picture

Evaluate the expression when a=7 and c=-7
a-9c

Answers

Answer:

Step-by-step explanation:

(7)-9(-7)

7+63

70

Solve the following problems. Remember that all reasoning must be explained, and all steps of math work must be shown!


Topic: Perpendicular to Chord Property

Answers

Question 1:

How to solve Part A

Since the diagram shows a right triangle and gives out some measurements of the sides, you can use the Pythagorean Theorem ([tex]a^{2}+b^{2}=c^{2}[/tex]) to find the length of MP.

Given:

hypotenuse = 7  – because the radius is 7 units and it can be used as the hypotenuse

One side of the triangle = 4  – because the length of PO is 4 units and it can be used as one sides of the triangle

To Solve:

Since we know two values of the triangle, you can use the Pythagorean Theorem ([tex]a^{2}+b^{2}=c^{2}[/tex]) to find what the other value is. The variables c and b in the formula are already given, and we need to find what a is to find the length of MP. So, plug the given values of c and b into the formula:

[tex]a^{2}+4^{2}=7^{2}[/tex]

Simplify:

[tex]a^{2}+16=49[/tex]

Subtract 16 from both sides of equation:

[tex]a^{2}=33[/tex]

Do the square root of both sides to isolate the variable a:

[tex]\sqrt{a^{2}}=\sqrt{33}[/tex]

Evaluate:

[tex]a=\sqrt{33}[/tex]  Which simplifies to [tex]a= 5.744562646....[/tex] and round it to the nearest tenth to finally get [tex]a=5.7[/tex]

Answer: The length of MP is 5.7 units

How to solve Part A

If you look at the diagram in the question, you can see that the length of MN is twice the length of MP. So multiply the length of MP, which is 5.7, by 2:

5.7 · 2 = 11.4

Answer: The length of MN is 11.4 units

___________________________________________________________

Question 2:

How to solve Part A

Look at the first image below ↓

Description of the first image:

The first image shows a drawn image of the circle with labeled parts and measurements from the infomation given from the question.

The diameter is 26cm, which means that the radius is 13cm because the radius half of the diameter in a circle. The very top line is the surface of the water where it’s filled and it has a length of 20cm. Side b of the triangle is 10cm becuase it’s half the length of the the surface of the water bowl. The hypotenuse (side c) is 13cm because it’s the length of the radius. And side a is what what we need to find because it’s the distance between the surface of the water and the center of the bowl. But after when you find the length of side a, you need to add the length of the radius (which is 13cm) to the length of side a because that’s the rest of the length/depth of the water that’s filled in the bowl. The length of the radius is included with the depth of the water.

Total information given:

radius = 13cm  – because the radius is half of the diameter, and the diameter has a length of 26cm

length of the surface where the water’s filled = 20cm

hypotenuse (side c) = 13cm  – because it’s the length of the radius

side b = 10cm  – because it’s half the length of the surface where the water’s filled

To Solve

Since there is a right triangle shown in the image, you can use the Pythagorean Theorem  ([tex]a^{2}+b^{2}=c^{2}[/tex]) to find the missing length of side a. Plug the given values of c and b into the formula:

[tex]a^{2}+10^{2}=13^{2}[/tex]

Simplify:

[tex]a^{2}+100=169[/tex]

Subtract 100 from both sides of the equation:

[tex]a^{2}=69[/tex]

Do the square root of both sides to isolate the variable a:

[tex]\sqrt{a^{2}}=\sqrt{69}[/tex]

Evaluate:

[tex]a=\sqrt{69}[/tex]  Which simplifies to [tex]a= 8.30662386....[/tex]  and round it to the nearest tenth to finally get [tex]a[/tex] ≈ [tex]8.3[/tex]

This means that 8.3 is just the length of side a, which is the length between the surface of where the water’s filled and the center of the circle. But, now you need to add 13 to 8.3 to find the total depth of the water because the length of the radius is included with the depth of the water.

So,

13 + 8.3 = 21.3

Answer: The depth of the water is approximately 21.3 cm

How to solve Part B (is in the image below)

Sorry for the very, VERY long explanation and the long solving process, but I really, really hope you understand and that this helps with your question! :)

plz help asap i'll give brainlest

Answers

Answer:

X=11

Step-by-step explanation

[tex]5^{3+8} =5^{11}[/tex]=11

sin(73) = cos (x) pls help lol

Answers

x = 17+360n, 343+360n

Can someone please please help me

Answers

Answer:

y=6

Step-by-step explanation:

Answer:

The 5th one

Step-by-step explanation:

Common sense

A and B largest HCF is 65. The ratio of A + B and A - B is 4 : 1. What is A?​

Answers

Answer:yes me too please someone answered it

Step-by-step explanation:

Unscramble the word

"FUETCRELSP"


Answers

Answer:

Respectful ??

Step-by-step explanation:

Answer:

ldlelskekkskek

Step-by-step explanation:

zkmelslelslsps

Jon is cooking enough lentils for lentil barley soup and lentil salad .The lentil barely soup recipe calls for 1/2 cup of dried lentils. The lentil salad recipe calls for 1 1/2 cups of dried lentils. Jon had 1/8 cup scoop. How many scoops of dried lentils will Jon need to have enough for the soup and the salad

Answers

Answer:

1/8 scoop

Step-by-step explanation:

need help what the awnser is.
b - 6 = 21​

Answers

27 hope this helps!!!

|5x2|=8
solve for x
Pls help plsss

Answers

Step-by-step explanation:

click on the picture it will show u how to do it, if u need more help with math like this I recommend using photoxmath it's a free app.

Answer: | 5x2 | = 8

Step-by-step explanation:

x= 10 = 8

You are driving 72 miles per hour on the highway. Write an expression that represents the distance you travel in t hours. How far will you travel in 3.25 hours?

Answers

Answer: ~

Expression: 72x ; Answer: 234 mph

Step-by-step explanation:

Input the value desired, 3.25 seconds, into the variable, x, and multiply 72 by 3.25 and you have the product of 234 miles per hour.

I REALLY NEED HELP
A rectangle has a diagonal of 15ft. The width of the triangle is 12ft. What is the area of the rectangle.

Answers

The area is 180ft I think. You can do (15*12)/2 = 90. Since it’s two triangles you then do 90*2. I hope I am right

9514 1404 393

Answer:

  108 ft²

Step-by-step explanation:

The length of the other side of the rectangle can be found using the Pythagorean theorem.

  15² = 12² + x²

  x = √(225 -144) = √81 = 9

So, the rectangle is 9 ft by 12 ft. Its area is the product of those dimensions:

  A = bh

  A = (12 ft)(9 ft)

  A = 108 ft² . . . . area of the rectangle

Simplify the expression by combining like terms:

Answers

Step-by-step explanation:

[tex]1 + 5a + 7a^{2}+a+3\\[/tex]

so you have [tex]7a^{2}[/tex]

5a + a = 6 a

and 1 + 3 = 4

Answer: [tex]7a^{2} + 6a + 4[/tex]

Answer:

7a² + 6a + 4

Step-by-step explanation:

Now we have to,

→ Simplify the given expression.

The expression is,

→ 1 + 5a + 7a² + a + 3

Let's simplify the expression,

→ 1 + 5a + 7a² + a + 3

→ 7a² + 5a + a + 1 + 3

→ (7a²) + (5a + a) + (1 + 3)

→ 7a² + (6a) + (4)

7a² + 6a + 4

Hence, answer is 7a² + 6a + 4.

If a numberis divisible by two co-prime numbers then it is also divisibe by their product

Answers

It's true that co-prime number is divisible by their product.

Co-prime numbers are pairs of numbers that do not have any common factor other than 1.

e.g., ( 4,7), (2,3), (5,7,9) etc.

Let's take two co-prime numbers i.e., x and y i.e., (x, y)

The product of them is ( x × y)

Therefore,

        x × y/ x = y ,and  x × y/ y = x

Lets understand with an example,

Let's take two co-prime be (2,5), its product be 2×5 = 10

so when we divide product with the number i.e., 10/2=5 and 10/5=2 which is divisible.

Therefore the co-prime number is divisible by their product.

To know more about the co-prime refer to the link given below:

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Which of the following is the best description of a person-versus-society conflict?
A.
an argument or a physical fight between two people
B.
a person who is fighting against an idea or a group
C.
a person who is trying to benefit from being part of a group
D.
a person who is helping others who are poor and weak
E.
a person who is trying to make a decision

Answers

Answer:

B

Step-by-step explanation:

Answer:

im pretty sure b

Step-by-step explanation:

let x be a normal random variable with mean -2 and variance 9, and let z be a standard normal random variable. which expression in terms of z is p(x ≤ -1) equal to?

Answers

Expression in terms of z is p(x ≤ -1) equal to p( z ≤ 1/3) .

What does a math expression mean?

A group of terms coupled with the operations +, -, x, or form an expression, such as 4 x 3 or 5 x 2 3 x y + 17. A statement with an equals sign, such as 4 b 2 = 6, asserts that two expressions are equal in value and is known as an equation.

Mean = -2                         variance = σ² = 9 ⇒ 3

z = x - μ/σ   ⇒ x -(-2)/3

z = x+2/3

z = - 1+ 2/3 = 1/3

p(x ≤ -1)  = p( z ≤ 1/3)

Learn more about expression

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Can someone please help me on this?

Jessica is ordering rackets for her school. Racket
World charges $4.75 for each racket and a one-time
shipping fee of $40. Tennis King charges $8.50 for
each trophy and a one-time shipping of $23. What
inequality can be used to find x, the minimum number
of rackets that can be ordered so that the total charge at
Racket World is less than the total charge at Tennis
King?
(I can write and solve an equation from a word problem.

Answers

Answer:

76.25

Step-by-step ex planation:

Sorry if this isn't right, I haven't done inequalities in a while.

B
What is the value of x?
10
O 2 units
3 units
А х
D
4x
С
O 5 units
8 units

Answers

Answer:

C. 5units

Step-by-step explanation:

whats the answer 2x+22 do not factor

Answers

Answer:

There are no like terms.

Step-by-step explanation:

Since your not factoring then will simply it

Let's simplify step-by-step.

2x+22

There are no like terms.

It was removed for some reason but please help. Show work too pls

Answers

the answer is 8
Hope this helped
Check the image below for working :)
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