Suppose you have $75 in your savings account and you save an additional $5 each week. Your friend has $30 in his savings account and saves an additional $10per week. In how many weeks will you have the same amount of money?

Answers

Answer 1
Answer:

it will take 9 weeks for you and your friend to have the same amount of money in your savings accounts.

To determine the number of weeks it takes for both you and your friend to have the same amount of money in your savings accounts, we need to set up an equation.

Let's denote the number of weeks as 'x'. For you, the amount of money in your savings account after 'x' weeks can be calculated as follows:

Amount of money in your account = $75 + $5x

For your friend, the amount of money in his savings account after 'x' weeks can be calculated as:

Amount of money in your friend's account = $30 + $10x

To find the number of weeks where you both have the same amount of money, we set up the equation:

$75 + $5x = $30 + $10x

Simplifying the equation:

$5x - $10x = $30 - $75

-$5x = -$45

Dividing both sides of the equation by -5 gives us:

x = 9

Therefore, it will take 9 weeks for you and your friend to have the same amount of money in your savings accounts.

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Answer 2
Answer:

Answer:

9 weeks

Step-by-step explanation:

5x+75=10x+30

-5x        -5x

75=5x+30

-30      -30

45=5x

÷5    ÷5

9=x

x=9


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There is 12 inches in 1 foot and there is 5,280 feet in one mile. Elena ran 3-1/4 miles. How many feet is that?

Answers

Answer: The values is 2.5 miles converted to 158,400 inches

Step-by-step explanation:

  • 12 inches = 1 foot and
  • 5280 feet = 1 mile

Convert 2.5 miles to inches

Convert inches to feet :

5280 feet is equivalent to 1 mile

x = 2.5 miles

x = 5280 x 2.5

x = 13200 feet

Then convert 13,200 feet to inches

Because 12 inches is equivalent to 1 foot

x = 13200 feet

x = 12 x 13200

x = 158,400 inches

Therefore 2.5 miles converted to inches is 158,400 inches

One T-shirt is sold for every 5 people who attend a concert. What is one way to write the unit rate in words?

Answers

Answer : the answer is 5 people per T-shirt

Step-by-step explanation: because its 5 people per 1 T-shirt

Write a rule to describe each transformation.
I do not know how can I get help ?

Answers

This is the translation rule twice (translate right 2; translate down 1)

Final answer:

To write a rule to describe each transformation, the specific type of transformation and its steps need to be determined. Examples include translation, reflection, and rotation.

Explanation:

To write a rule to describe a transformation, you need to determine the type of transformation and the specific steps involved. Here are some examples:

  1. Translation: A rule for a translation is usually written in the form (x, y) -> (x + a, y + b), where a and b represent the horizontal and vertical shifts, respectively.
  2. Reflection: A rule for a reflection can be written as (x, y) -> (-x, y) for a reflection over the y-axis or (x, y) -> (x, -y) for a reflection over the x-axis.
  3. Rotation: A rule for a rotation can be written as (x, y) -> (xcosθ - ysinθ, xsinθ + ycosθ), where θ represents the angle of rotation.

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The diagram shows a 5 cm x 6 cm x 7 cm cuboid.Calculate the length of the diagonal AB.
4 Give your answer correct to 1 decimal place.
7 cm
1
6 cm
B
5 cm

Answers

9514 1404 393

Answer:

  10.5 cm

Step-by-step explanation:

The length of the space diagonal is the root of the sum of the squares of length, width, and height.

  AB = √(5² +6² +7²) cm = √110 cm ≈ 10.488 cm

  AB ≈ 10.5 cm

_____

The space diagonal is the hypotenuse of the right triangle consisting of an edge (L) and the face diagonal of the face perpendicular to that edge. Of course that face diagonal is the root of the sum of squares of the orthogonal edges: √(W² +H²). So, the space diagonal is ...

  AB = √(L² +(√(W² +H²))²) = √(L² +W² +H²)

Factor out the greatest common factor. If the greatest common factor is 1, just retype the polynomial.2b4+5

Answers

In this case, the greatest common factor IS 1;

There is no number or variable that divides evenly into both 2b^4 and 5, so you leave it as 2b^4 + 5.

A jewelry store marks its merchandise up by 80%. If the wholesale price of a bracelet is $55, what will the store charge for the retail price?help please

Answers

Final answer:

To find the retail price of the bracelet, we first calculate the markup, which is 80% of the wholesale price, and add it to the wholesale price. In this case, the retail price would be $99.

Explanation:

In this question, you're being asked to find out how much a jewelry store charges for a bracelet if they mark up the price by 80% from the wholesale price. The wholesale price is given as $55.

First, you need to find out what 80% of the wholesale price is. You can do this by multiplying the wholesale price ($55) by 0.80 (which is the equivalent of 80%). That gives you $44. This amount represents the markup the store adds to the wholesale price to get their retail price.

So, the retail price is the wholesale price ($55) plus the markup ($44). That brings you to a total of $99. So, the jewelry store would charge $99 for the bracelet.

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