A health-food store owner buys new products for his store by borrowing against a credit line of $4,500 from one of his wholesale suppliers. He is usually given 9 months to pay the money back. The store owner borrows the full amount and is told by the supplier that his monthly payments will be $600 a. How much did the distributor pay back altogether? How much in interest did the distributor pay for the loan?​

Step-by-step explanation:

x = price of pants

y = price of top

x + y = 36

x = (4/5)y

we use the second equation as substitute in the first

(4/5)y + y = 36

4y + 5y = 180

9y = 180

y = $20

x = (4/5)y = (4/5)×20 = 4×4 = $16

Answer:

y = 6

Step-by-step explanation:

[tex]3(y - 5) + 2 = 5 \\ 3y - 15 + 2 = 5 \\ 3y - 13 = 5 \\ 3y = 5 + 13 \\ 3y = 18 \\ \\ y = \frac{18}{3} \\ \\ y = 6[/tex]

I hope I helped you^_^

The solution of the equation 3(y - 5) + 2 = 5 gives the result y = 6.

Thus, option (d) is correct.

An equation is a mathematical statement that shows that two expressions are equal. It consists of two sides separated by an equal sign (=).

Let's solve the equation step by step:

3(y - 5) + 2 = 5

First, distribute the 3 on the left side:

3y - 15 + 2 = 5

Combine the constants on the left side:

3y - 13 = 5

Now, isolate the variable y by adding 13 to both sides:

3y = 18

Finally, divide both sides by 3 to solve for \(y\):

y = 18/3

y = 6

So, the solution to the equation is y = 6.

Thus, option (d) is correct.

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Step-by-step explanation:

a ) 12 , 17 , 22 , 27 , 32

according to the given sequence, they added 5 in the numbers

b ) 83 , 77 , 71 , 65 , 59

in this given sequence they just subtracted 6 from the number

hope this answer helps you dear...take care and may u have a great day!

Answer:

About 186,000 miles per second.

Step-by-step explanation:

Answer:

aku ga tau Inggris AAAAAA pak yuk

The waves will cover a circular area of 7542.96 miles.

The circle is defined as the locus of the point traces around a fixed point called the center and is equidistant from the outer trace. The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the circle in a two-dimensional plane is called the area of the circle.

Given that a radio station sends out radio waves in all directions from a tower at the center of the circle of broadcast range. The circle has a diameter of ​98 miles.

The area of a circle is calculated by the formula below:-

Area = ( π / 4 ) d²

Area = ( π / 4 ) ( 98 )²

Area = 7542.96 square miles

Therefore, the waves will cover a circular area of 7542.96 miles.

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Answer:

m< LMN = 111°

Step-by-step explanation:

m< LMO + m<OMN = m< LMN

[tex]58 + 53 = 111[/tex]

Answer:

3x^2

Step-by-step explanation:

Factor 3x^4

3 * x * x * x * x

Factor 15x^3

3 * 5 * x * x * x

Factor 21x^2

3 * 7 * x * x

Common factor is

3 * x * x

Simplify:

3x^2

3x to the power of 2

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let's solve :

Answer:

50 × 10 × 7 = 3,500

Step-by-step explanation:

pls brainliest plsssssss

Answer:

45mph

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

Combine  3/5 and z

Move all terms not containing  z  to the right side of the equation.

3z/5=27

Multiply both sides of the equation by 5/3

Simplify both sides of the equation.  

z=45

If there had been a 2% decrease in total receipts, the new deficit would be $361.08 billion.

If there had been a 2% decrease in total receipts, the new total receipts would be:

New total receipts = $2154 billion - (2% of $2154 billion)

New total receipts = $2154 billion - $43.08 billion

New total receipts = $2110.92 billion

The total outlays would remain the same at $2472 billion.

So, the new deficit would be:

New deficit = New total outlays - New total receipts

New deficit = $2472 billion - $2110.92 billion

New deficit = $361.08 billion

Therefore, if there had been a 2% decrease in total receipts, the new deficit would be $361.08 billion.

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Answer:

n=35

Step-by-step explanation:

Answer:

y=3x+27

Step-by-step explanation:

I first wrote down point-slope form, then substituted your point (-7,6) and the slope to get b (the y intercept).

Answer : Diluc + Klee = Dlee

Answer:

A) 1/3

B) 3

Step-by-step explanation:

PART A: To calculate the scale factor reduction going from the large shape to the small shape you have to use the equation SF reduction = small/large. Using the figures on the side of the shape I need to have 3/9, which simplifies to get 1/3. This is the final answer.

PART B: To calculate the scale factor enlargement going from the small shape to the large shape you have to use the equation SF enlargement = large/small. Using the figures on the side of the shape I need to have 9/3, which simplifies to get 3. This is the final answer.

According to the word problem question;

If the salesperson earns 9 percent commission on sales;

In essence, 9/100 of the sales proceedings belongs to the salesperson.

Mathematically; the equation for the amount he or she earns in commission is;

Consequently, if the amount sold is $6,000;

The amount he or she earns in commission is;

c = $540.

The answer in ordered pair form is therefore;

(s,c) = ($6000, $540)

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Answer:3 and 1/2 hours

Step-by-step explanation: She can ride 12 miles in one hour. So 42/12 = 3 and 6/12 also known as [tex]3\frac{1}{2}[/tex] hours

Answer:

It MAY be 1/30

Step-by-step explanation:

Step-by-step explanation:

[(3x − 6) (4x² − 1)] – [(2x − 4) (4x² + 4x + 1)]

>[3(x-2) (2x+1)(2x-1)]-[2(x-2)(4x²+2x+2x+1)

>[3(x-2)(2x+1)(2x-1)]-[2(x-2){2x(2x+1)+1(2x+1)}]

> 3(x-2)(2x+1)(2x-1)-2(x-2)(2x+1)²

> (x-2)(2x+1) [3(2x-1)-2(2x+1)]

> (2x²-3x-2)(6x-3-4x-2)

> (2x²-3x-2)(2x-5).

hope this helps you.

The value to be added to both sides of the equation to make the left side a perfect square trinomial is; -36.

To make the equation x2 – 12x = 1 look similar to the completing the square kind of expression where the left hand side of the equation becomes a perfect square, we must do the following;

In this scenario, the term (x² - 12x) can be rewritten as; (x - 6)² - 36.

This so because the expansion of (x - 6)² becomes;

Therefore, there's a need to subtract 36 from both sides of the equation so that the equation x2 – 12x = 1 is retained.

Therefore, the value to be added to both sides of the equation to make the left side a perfect square trinomial is; -36.

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Answer:

85

Step-by-step explanation:

Equation-

Answer:

20a^3 b^8

Step-by-step explanation:

( 5a^2b^3 ) ( 4ab^5 )

= ( 5 . a^2 . b^3 ) ( 4 . a . b^5 )

= ( 5 . 4 ) ( a^2 . a ) ( b^3 . b^5 )

= 20 ( a^2 . a^1 ) ( b^3 . b^5 )

= 20 ( a^( 2 + 1 ) ) ( b^( 3 + 5 ) )

= 20 ( a^3 ) ( b^8 )

= 20a^3 b^8

Answer:

It's 1/2, you go 1 step to the right and two steps up.

Step-by-step explanation:

given :

120, 60, 30, _, _, _

find r!

solution :

r = 60/120 = ½.

=> 120,60,30, 15, 15/2 , 15/4 , ...

Step-by-step explanation:

Calcute the ratio :

r = Un/Un-1

r = 60/120

r = ½

Calculate 4th term :

Un = ar^n-1

U4 = 120 × ½^4-1

U4 = 120 × ½³

U4 = 120 × 0.125

U4 = 15

Calculate 5th term :

Un = ar^n-1

U5 = 120 × ½^5-1

U5 = 120 × ½⁴

U5 = 120 × 0.0625

U5 = 7.5

Calculate 6th term :

Un = ar^n-1

U6 = 120 × ½^6-1

U6 = 120 × ½⁵

U6 = 120 × 0.03125

U6 = 3.75

The box with area of the base of the box is 112 square inches and the height is 3.5 inches has volume of 392 in³

A cuboid is a three dimensional shape polyhedral with six quadrilateral faces. The volume of a cuboid is:

Volume of cuboid = length * width * height

A box is a three dimensional shape in the form of a cuboid. The volume of a box is:

Volume of box = length * width * height

Volume of box = area of base * height

The area of the base of the box is 112 square inches and the height is 3.5 inches, hence:

Volume of box = 112 in² * 3.5 in

Volume of box = 392 in³

The box has volume of 392 in³

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Answer:

Sam average speed for the whole journey =  [tex]3\frac{3}{11} mph[/tex]

Step-by-step explanation:

Formula: Speed = [tex]\frac{Distance}{Time}[/tex]

i.e. Time = [tex]\frac{Distance}{Speed}[/tex]

If Sam walked x miles at 4 mph, then time taken by him = [tex]\frac{x}{4}[/tex] hours

If he then walked 2x miles at 3 mph, then time for this period =  [tex]\frac{2x}{3}[/tex]hours

Average speed = [tex]\frac{Total Distance}{Total Time}[/tex]

=[tex]\frac{x+2x}{\frac{x}{4} \frac{2x}{3} }[/tex]

=[tex]\frac{3x}{\frac{x1}{4} \frac{2}{3} }[/tex]

=[tex]\frac{3}{\frac{3+8}{12} }[/tex]

=[tex]\frac{3 x 12}{11}[/tex]

=[tex]\frac{36}{11}[/tex]

=[tex]3\frac{3}{11} mph[/tex]

Hence, Same's average speed for the whole journey =  [tex]3\frac{3}{11} mph[/tex]