Write a proportion for the statement.
$118 per week is proportional to $472 per 4 weeks. The proportion is _____?

Answers

Answer 1
Writing Proportions

A proportion is a mathematical comparison between two ratios.

A ratio is a comparison between two numbers.

For instance, the ratio of apples to bananas in a fruit basket is 1 apple to 2 bananas:

[tex]\dfrac{1\hspace{3}apple}{2\hspace{3}bananas}[/tex]

This is proportional to the ratio of apples to bananas in another fruit basket, which is 2 apples to 4 bananas:

[tex]\dfrac{2\hspace{3}apples}{4\hspace{3}bananas}[/tex]

To write a proportion from this information, we can compare the ratios by makign them equal to each other:

[tex]\dfrac{1\hspace{3}apple}{2\hspace{3}bananas}=\dfrac{2\hspace{3}apples}{4\hspace{3}bananas}[/tex][tex]\dfrac{1}{2}=\dfrac{2}{4}[/tex]

Solving the Question

We're given:

$118 per week$472 per 4 weeksThese are proportional

$118 per week is one ratio:

[tex]\dfrac{118\hspace{3}dollars}{1\hspace{3}week}[/tex]

$472 per 4 weeks is another ratio:

[tex]\dfrac{472\hspace{3}dollars}{4\hspace{3}weeks}[/tex]

Now, set them equal to each other to create a proportion:

[tex]\dfrac{118\hspace{3}dollars}{1\hspace{3}week}=\dfrac{472\hspace{3}dollars}{4\hspace{3}weeks}\\\\\dfrac{118}{1}=\dfrac{472}{4}[/tex]

Answer:

Therefore, the proportion is [tex]\dfrac{118}{1}=\dfrac{472}{4}[/tex].


Related Questions

What is the equation for the graph shown?

Answers

Y= 2/3x + 4

It goes up 2 and goes right 3. And on the y-axis, it starts at 4 (0,4)

Answer:

Step-by-step explanation:

Identify the GCF of 6x^2y^2 − 8xy^2 + 10xy

Answers

Answer:

The GCF for the numerical part is 2

Step-by-step explanation:

6x^2y^2-8xy^2+10xy

It contains both numbers and variables, there are two steps to find the GCF(HCF).

1). Find the GCF for the numerical part 6, -8,10

2). Find the GCF for the variable part x^2,y^2,x^1,y^2,x^1,y^3

3).Multiply the values together.

Find the common factors for the numerical part:

6,-8,10

Factors of 6

6: 1,2,3,6

Factors of -8

-8: -8,-4,-2,-1,1,2,4,8

Factors of 10

10:1,2,5,10

Common factors of 6,-8, 10 are 1,2

The GCF Numerical=2

The GCF Variable= xy^2

Multiply the GCF of the numerical part 2 and the GCF of the variable part xy^2, and you'll get 2xy^2

Why should you consider the individual's age when designing a training program?
A. Older individuals cannot participate in strength training activities.
B. Some activities may be inappropriate for particularly young or old participants.
C. None apply
D. Younger individuals do not need flexibility training.

Answers

Answer:

(B). Some activities may be inappropriate for particularly young or old participants.

Step-by-step explanation:

its the most formal answer hopfully this helps you.

I believe A would be correct, I can’t see how B is relevant and D is false as well as C.

can some one help me do this question
just give me e and f

Answers

Answer:

I believe the answer should be 90:90:180. I may be wrong.

Find the area of right angled triangle at J, if ZJ = 14 and JW = 1.

Answers

Answer:

7 sq units

Step-by-step explanation:

Area of right angled triangle

= 1/2 * ZJ * JW

= 1/2 * 14 * 1

= 7 sq units

If f(x) = x^3 - 2x^2 , which expression is equivalent to f(i)?

O -2 + i
O -2 - i
O 2 + i
O 2 - i

Answers

[tex]\text{Given that,}~f(x)=x^3-2x^2\\\\f(i)=i^3-2i^2\\\\~~~~~~=i^2 \cdot i -2(-1)~~~~~;[i^2=-1]\\\\~~~~~~=-i+2\\\\~~~~~~=2-i[/tex]

The expression equivalent to f(i) is 2-i.

What is expression?

The expression is mathematical statement which consist of variables, numbers and connected by at least one operation.

Given that, a function f(x) = x³ - 2x², we need to find the expression equivalent to f(i),

To find the same we will put x = i,

So,

f(i) = i³ - 2i² [i = √-1]

= (√-1)³ - 2(√-1)²

= -i - 2(-1)

= -i+2

= 2-i

Hence, the expression equivalent to f(i) is 2-i.

Learn more about expression, click;

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need help with geometry (number 20)

Answers

Answer: A

Step-by-step explanation:

Since diagonals of a rectangle are congruent and bisect each other, we know that the two opposite triangles formed by the diagonals are congruent by SAS.

Therefore, the measure of angle 1 is equal to 25 degrees.

Can someone help me with this

Answers

Answer:

1 / 216, or 0.00462...

Step-by-step explanation:

Josephine can correct her students' test papers in 9 hours, but if her teacher's assistant helps, it would take them 7 hours. How long, in hours and minutes, would it take the assistant to do it alone? (Write your answer in mixed units. Enter a zero in any unneeded blanks.)

Answers

Using the together rate, it is found that it would take the assistant 31 hours and 30 minutes to do it alone.

What is the together rate?

It is the sum of each separate rate.

In this problem, the rates are given as follows:

Josephine: 1/9.Assistant: 1/x.Together: 1/7.

Hence:

[tex]\frac{1}{9} + \frac{1}{x} = \frac{1}{7}[/tex]

[tex]\frac{x + 9}{9x} = \frac{1}{7}[/tex]

[tex]9x = 7x + 63[/tex]

2x = 63

x = 31.5.

It would take the assistant 31 hours and 30 minutes to do it alone.

More can be learned about the together rate at https://brainly.com/question/25159431

help ASAP

15 POINTS
need help anyone who helps get brainly user!!!!​

Answers

I'm pretty sure it's either D or B, I'm literally so sorry if it's wrong

Use Descartes’s rule of signs to determine the possible number of positive and negative real zeros of f(x)=8x^4-6x^3-4x^2-7x+3

Answers

let's recall Descartes rule of signs, to get the Real Positive ones we start by checking the sign changes for f(x), and to get the Real Negative ones we check the sign changes for f( -x ).

Check the picture below.

Can anyone help explaining step by step?

The height of a soccer ball in the air can be modeled by the equation h = -16t^2 +48f, where h is in feet of a ball that Cody kicks down the field.
How long is the ball in the air? (find the zeros).
What is the ball's max height? (find the vertex)
When will the ball reach its maximum height?

Answers

Answer:

3 seconds(0, 0), (3, 0)36 ft, (1.5, 36)

Step-by-step explanation:

As the problem statement suggests, the question of time in the air can be answered by finding the zeros of the function. Similarly, the question of the ball's maximum height can be answered by finding the vertex. These findings are related by the fact that the vertex is on the line of symmetry, which passes through the midpoint between the zeros.

__

(a)

The function can be factored as ...

  h = -16t(t -3)

At any zero, one of the factors must be zero. (This is the "zero product rule.") The factors are zero for t=0 and for t=3.

  The zeros are (0, 0) and (3, 0).

This tells you the height of the ball is zero initially (at t=0), and 3 seconds later (at t=3).

  The ball is in the air for 3 seconds.

__

(b)

The midpoint between the zeros is their average: (0 +3)/2 = 1.5. At that value of t, the ball will be at its maximum height.

  The ball will reach its maximum height at t=1.5 seconds.

Using the above factored form to find the height, we get ...

  h = -16(1.5)(1.5 -3) = 16(2.25) = 36 . . . feet

 The ball's maximum height is 36 feet.

_____

Additional comment

The x-coordinate of the vertex of quadratic ax²+bx+c is found at the value ...

  x = -b/(2a)

Here, that would be ...

  t = -48/(2(-16)) = 3/2

__

A graphing calculator can answer all of these questions quite rapidly.

SOMEBODY PLEASE HELP!! EXPLANATION NEEDED!!!!!! 25 POINTSSS

Answers

Answer:

PA = 8 cm

Step-by-step explanation:

First, create a right triangle with legs OA and SA and hypotenuse OS. Use the Pythagorean Theorem to get the length of OS. Since this is a pythagorean triple (3-4-5) triangle, the hypotenuse is 5, meaning that OS is 5 cm long. Because OS and OP are both radii of the circle, they are equal. So, OP = 5 cm. Finally, simply add OA and OP to get PA:

OA + OP = PA

3 + 5 = PA

PA = 8 cm

HELP. WORTH 1 POINT
GIVING 10

Answers

Answer:

117

Step-by-step explanation:

well, if they are supplementary, and they are on the same line and a line is equal to 180 degrees, then its as easy as 180-63=117

What is the lateral surface area of the triangular prism?



Round to the hundredths place.

Answers

Answer:

The answer is

→ [tex]A_L = 60[/tex]

Step-by-step explanation:

a Base side is 4cm

b Base side is 5cm

c Base side is 11cm

h Height is 3cm

I ran into a problem when inputing the c Base side. It won't allow me to go over 8cm, for some reason. But hold on. I found a solution! :)

a Base side is 4cm

b Base side is 5cm

c Base side is 8cm ← (Don't mind this, I'll explain it below.)

h Height is 3cm

With c Base side being 8cm, the result is [tex]A_L = 51[/tex]. This is clearly incorrect and is not supposed to be like that. But hold on! Let me explain what I did to fix the problem. Since 8cm was the maximum amount, I did this to fix the problem:

51 + 3 = 54 (9cm)

51 + 6 = 57 (10cm)

51 + 9 = 60 (11cm)

Hope this is easy for you to understand...

Hope this helped! :^)

⭐Brainliest will be appreciated!⭐

✉️Message me if you have any more questions!✉️

- ✨7272033Alt

Submitted on 4/16/2022 at 10:20 PM

(To avoid plagarism, by users whom decide to copy.)

Stephan cuts a 50-yard ribbon. One piece is 7 yards longer than the other. What is the length of each piece?

Answers

Answer:

It should be 32 and 18 but I'm bro entirely sure

I need help with this anybody please ?

Answers

60

The answer is given in the above picture.

Hope u like it............

[50 points]
P(AB) = P(An B)/P(B)

Freshmen
Sophomores
Juniors
Seniors
Boys
3
1
4
2
Girls
7
9
5
1
P(Boy|Sophomore) =

Answers

Answer:

[tex]\sf \dfrac{1}{10}[/tex]

Step-by-step explanation:

From the table:

Total number of Sophomores = 10Total number of students = 37Total number of Boys who are Sophomores = 1

[tex]\sf Probability \ of \ an \ event \ occurring = \dfrac{Number \ of \ ways \ it \ can \ occur}{Total \ number \ of \ possible \ outcomes}[/tex]

[tex]\sf \implies P(Sophomore)=\dfrac{10}{37}[/tex]

[tex]\sf \implies P(Boy \cap Sophomore)=\dfrac{1}{37}[/tex]

[tex]\begin{aligned}\sf P(Boy | Sophomore) & = \sf\dfrac{P(Boy \cap Sophomore)}{P(Sophomore)}\\\\ & = \sf \dfrac{1}{37} \div \dfrac{10}{37}\\\\ & = \sf\dfrac{1}{37} \times\dfrac{37}{10}\\\\ & = \sf\dfrac{1}{10}\end{aligned}[/tex]

Answer:

1/10

Explanation:

Given Boy Sophomores: 1

Given Total Boy: 3 + 1 + 4 + 2 = 10

So

⇒  P(Boy|Sophomore)  

⇒  Boy Sophomore/Total Boy

⇒  1/10

which expression is equivalent to squareroot 36/25

Answers

The correct answer would be: 6/5

Solve the following problem.
360 mL =____cups?
type your answer...

Answers

Answer:

1.52 cups

Step-by-step explanation:

360 ml / (236.588 ml/cup ) = 1.52 cups

Karen Gaines invested ​$10,000 in a money market account with an interest rate of 3.25​% compounded semiannually. Three years​ later, Karen withdrew the full amount to put toward the down payment on a new house. How much did Karen withdraw from the​ account?

Answers

The total amount of money that Karen withdrew from her account three years later is $11,015.48.

How much did Karen withdraw?

When an amount earns a compound interest seminannually, it means that the amount invested and interest accured increases in value twice a year.

The formula for calculating future value:

FV = P (1 + r)^nm

FV = Future value P = Present value R = interest rate m = number of compoundingN = number of years

$10,000 x (1 + 0.0325/2)^6 = $11,015.48

To learn more about future value, please check: https://brainly.com/question/18760477

i’ve been trying to find the mean I think it’s 1

Answers

Answer: 3.8 vitamins

Step-by-step explanation:

    First, we will find all the data values by looking at the graph.

1, 1, 3, 5, 9

    Next, we will solve for the mean. This is where we add all the data values together, and divide by the number of values.

[tex]\displaystyle \frac{1+1+3+5+9}{5}[/tex]

[tex]\displaystyle \frac{19}{5}[/tex]

3.8

         The mean is 3.8.

Answer:

3.8 vitamins

Step-by-step explanation:

Step 1:  Determine the mean of the data

The mean of the data is also known as the average of the data.  We get this by adding up all of the values and dividing it by the amount of values that we have.

In this example, we have two points on the 1 marker, one point on the 3 marker, one point on the 5 marker, and one point on the 9 marker.

We add up all of the values, 1 + 1 + 3 + 5 + 9 and we get 19.  We then divide the number of values that we have which is 5.  So we do 19/5 and we get 3.8 vitamins is the mean.

Answer:  3.8 vitamins

IM STUCK CAN SOMEBODY SOLVE THE EQUATION

Answers

Step 1: Figure out how many years 2020 is after 1998

2020 is 22 years after 1998, therefore we should plug in 22 for x.

Step 2: Plug in known values

The only unknown variables in this equation are S and x. We just found out what x is, which leaves S for us to figure out by solving.

S - 1.5(22) = 5.1

Step 3: Solve

Now, all that's left to do is solve for S.

S - 1.5(22) = 5.1

S - 33 = 5.1

S = 38.1

Answer: 38.1 billion dollars

Hope this helps!

The purpose of the deposit slip is to?

Answers

Answer:

DEPOSIT SLIPS OFFER PROTECTION TO BOTH THE BANK AND THE CUSTOM

Step-by-step explanation:

Benefits of Deposit Slips

Deposit slips offer protection to both the bank and the customer. Banks use them to help maintain a written ledger of funds deposited throughout the day and to ensure that no deposits are unaccounted for at the end of the business day.

I keep coming up with different answers please help me?

Answers

The answer is 1,600.

Answer:

the answer is 1600

Keith wants to give 1/2 an apple to each of his 6 friends. How many apples does he need?

Answers

Answer:

12 apples is the answer because 1/2 divided by 6 is 12

Step-by-step explanation:

How many TRIANGLES can be constructed with sides measuring 8 cm, 9 cm, and 11
cm ?

Answers

Answer:

1 -- Triangle

Step-by-step explanation:

Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Also remember to rate answers to help other students, While leaving thanks to answers that help you. Have a great day!

The length of a rectangular garden is 9 feet longer than its width. If the garden's perimeter is 206 feet, what is the area of the garden in square feet?

Answers

Answer:

Area of rectangular garden is 2632 feet²

Step-by-step explanation:

Given that length of Rectangular garden is 9 feet more than its width and perimeter of garden is 206 feet.

Let's assume length of Rectangular garden be x + 9 feet and width be x feet respectively. Firstly using the formula of Perimeter of rectangle we'll find the length and width of the garden.

[tex] \\ \\ \dashrightarrow \: \: { \underline { \boxed{ \pink{ \sf {Perimeter _{(rectangle)} = 2(L + W)}}}}} \\ \\ [/tex]

Substituting the required values:

[tex]\\[/tex]

[tex]\dashrightarrow \sf \: \: 2(x + 9 + x) = 206 \\ \\ [/tex]

[tex]\dashrightarrow \sf \: \: 2x + 18 + 2x = 206 \\ \\ [/tex]

[tex]\dashrightarrow \sf \: \: 4x + 18 = 206 \\ \\ [/tex]

[tex]\dashrightarrow \sf \: \: 4x = 206 - 18 \\ \\ [/tex]

[tex]\dashrightarrow \sf \: \: 4x = 188 \\ \\ [/tex]

[tex]\dashrightarrow \sf \: \: x = \dfrac{188}{4 } \\ \\ [/tex]

[tex]\dashrightarrow \sf \: \: x = 47 \\ \\ [/tex]

Hence,

Length of garden = x + 9 = 47 + 9 = 56 feetWidth of garden = x = 47 feet

[tex]\\[/tex]

Now,

[tex] \\ \dashrightarrow \: \: { \underline { \boxed{ \pink{ \sf Area _{(rectangle)} = Length \times Width }}}} \\ \\ [/tex]

Substituting the required values:

[tex]\\[/tex]

[tex]\dashrightarrow \sf \: \: Area = 56 \times 47 \\ \\ [/tex]

[tex]\dashrightarrow \sf \: \: Area = 2632~ ft^2 \\ \\ [/tex]

Hence,

Area of rectangular garden is 2632 feet²

Answer:

Area of rectangular garden is 2632 feet²

Step-by-step explanation:

Given:-

Length of Rectangular garden is 9 feet more than its width perimeterof garden is 206 feet.

To find :-

The area of rectangular garden

Solution:-

Let the length of Rectangular garden be x + 9 feet and width be x feet .

We know that , the formula of Perimeter of rectangle is 2 ( L + B )

putting the known values to find the dimensions ,

2 ( L + B ) = 206 feet

2 ( x + 9 + x ) = 206 feet

4 x + 18 = 206 feet

x = 47 feet

putting the values of x in the equation ,

Length :- 56 feet

width :- 47 feet

Now , area of rectangular garden :- B

Area => 56×47 feet²

Area => 2632 feet²

PLEASE HELP

A bank is offering 2.5% simple intrest on a savings account if 5,000 is deposited what is the balance in a year​?

Answers

Answer:

The principal amount is 5000 dollars = 3, 70,000 rupees (5000 dollars x 74 Rupees)

Rate = 2.5%

Time = 1 year

Now, on putting the values given in the formula

S.I.= 9,250 Rupees

Now we convert it into dollars by diving 9,250 rupees by 74 rupees.

We get,

9250/74 = 125 dollars

Step-by-step explanation:

125 dollars a year!!

Should be correct! :)

Jeremiah is starting a t-shirt making business. He needs to spend $1050 to buy the equipment to print on t-shirts. On each t-shirt he sells, he makes a $4 profit. How many t-shirts must Jeremiah sell to break even?

Answers

He would have to sell at least 159 t shirt
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