MATHEMATICS COLLEGE

A package of 6 pairs of insulated socks costs $34.14. What is the unit price of the pairs of socks?​

Answers

Answer 1
Answer:

Answer:

\boxed {\tt \$5.69 \ per \ pair}

Step-by-step explanation:

We want to find the unit price for the insulated socks, or the price per pair of insulated socks. To find the unit price, we must divide the cost by the pairs of socks.

unit \ price =(cost)/(pairs)

We know that it costs $34.14 for 6 pairs of socks.

unit \ price =(\$34.14)/(6 \ pairs)

Divide.

unit \ price = \$5.69 / pair

The unit price is $5.69 per pair of insulated socks.

Answer 2
Answer:

Answer:

$5.69

Step-by-step explanation:

34.14/6

=5.69

The unit price of the pairs of socks are $5.69.

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I need help please help me

Answers

Answer:

h(x) = 1/4 x - 2

Step-by-step explanation:

f(x) = 4x + 8

y = 4x + 8

x = 4y + 8

4y = x - 8

y = 1/4 x - 2

h(x) = 1/4 x - 2

There will be many polynomials of degree 2 that pass through the points (1, 7) and (3, 9). The situation can be described by a system of two linear equations in three variables that has many solutions. Find an equation (involving a parameter r) that represents this family of polynomials. (Let the coefficient of the x2 term in the equation be r.)

Answers

Answer:

Any polynomial of the form f(x)=rx²+(1-4r)x+(3r+6) passes through these points.

Step-by-step explanation:

Let f(x)=rx²+bx+c be a polynomial that passes through (1,7) and (3,9). This means that f(1)=7 and f(3)=9, that is,

f(1)=r(1)²+b(1)+c=r+b+c=7, and

f(3)=r(3)²+b(3)+c=9r+3b+c=9

We have the equations r+b+c=7 and 9r+3b+c=9. Substract the second equation minus 9 times the first to obtain -6b-8c=-54, then 6b+8c=54 or equivalently b=9-4c/3.

Substract the second equation minus 3 times the first to obtain 6r-2c=-12. Then 2c=6r+12, thus c=3r+6. We have written c in terms of r. Substitute in b=9-4c/3 to obtain b=9-4(r+2)=-4r+1. The polynomial acquires the form

f(x)=rx²+(1-4r)x+(3r+6).

HOSWhich sentence would make the best cliff-hanger for the end of chapter 1?
The air was very cold.
In the distance, firelight glowed.
He bumped his foot on the side of the boat.
The men were very hungry.

Answers

Answer:

B

Step-by-step explanation:

Answer:

It's B. In the distance, firelight glowed.

Step-by-step explanation:

♥ right on edge ♥

A rectangular deck is 12 ft by 14 ft. When the length and width are increased by the same amount, the area becomes 288 sq. Ft. How much were the dimensions increased?

Answers

The dimensions increased by 4 feet.

What is the area of the rectangle?

The area of the rectangle is the product of the length and width of a given rectangle.

The area of the rectangle = length × Width

Given;

Dimensions of rectangle = 12 + x and 14 + x

The area of the rectangle= (12 + x) (14 + x) = 288

x² + 26x + 168 = 288

x² + 26x - 120 = 0

(x + 30) (x - 4) = 0

x=-30, x =4

Hence, The dimensions increased by 4 feet.

Learn more about the area;

brainly.com/question/1658516

#SPJ2

Answer:

4 ft

Step-by-step explanation:

288=16 * 18

12+4=16

14+4=18

Is this one correct?​

Answers

Answer:

do you expect me to flip sideways just to help you cheat on ur homework

Step-by-step explanation:
It’s f .................

Can someone please answer c. I’ve been trying for 30 mins and can’t understand it

Answers

Answer: 7

Step-by-step explanation:

For c, we are given this sum from 1 to 3 of (n^2)/(2). 1/2 is a constant , therefore, we can move it outside of the summation.

*I hope you can understand what I'm saying. I can't figure out how to type in summations into the equations section.

1/2∑₁³n²

This means you would multiply the sum of n² from 1 to 3 by 1/2.

We are told n=1 to n=3 so we would plug 1, 2, 3 into n.

1²=1

2²=4

3²=9

We would add them together since that is what the sum sign tells us to do.

1+4+9=14

Now that we know the sum, we multiply it with 1/2

14/2=7
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