Use the unit price to find the total price.8 gallons at $1.94 per gallon

Answer choice D) A worker with 15 years of service gets 5 weeks of vacation and each year.

otez555 [7]

Answer: it seems to be D, but the equation makes practically no sense!

The value of the factor changes for the different amounts of service years and vacation weeks.

Step-by-step explanation: The equation means that the employee is trying to figure out the value of the "v-factor" for how vacation time is earned.

If you substitute the number of service years into the left side of the "formula" and vacation weeks on the right side, then solve for "v", v(15)=5 you get v= 1/3 or 0.33

If you substitute other numbers, like v(2)=2, so v= 1 then v(30) = 8, v = 4/15 or 0.2667. You see the factor's value decreases. The company is much more generous to to employees with one or two years of service than with the older ones.

7 0

3 years ago

It’s you birthday and you bought a giant sandwich to feed all of your guests. The sandwich is 10 1/2 feet long and you need to f

Hoochie [10]

Answer: $1\dfrac{3}{4}\text{ feet}$

Step-by-step explanation:

Given: Length of sandwich = $10\dfrac12\text{ feet}=\dfrac{21}{2}\text{ feet}$

Total people = 14

If everyone gets a same sized piece , then length of each piece should be

$\dfrac{\text{ Length of sandwich}}{\text{Total people}}$

$=\dfrac{\dfrac{21}{2}}{14}\text{ feet}\\\\=\dfrac{21}{2\times14}\text{ feet}\\\\=\dfrac{7}{2\times2}\text{ feet}\\\\=\dfrac{7}{4}\text{ feet}\\\\=1\dfrac{3}{4}\text{ feet}$

Hence, length of each piece = $1\dfrac{3}{4}\text{ feet}$

3 0

3 years ago

Reduce the following fraction 25/55 Pls help quickly

Lina20 [59]

Answer:

5/11

Step-by-step explanation:

5 0

3 years ago

Find the perimeter and area of each figure.

Sergio039 [100]

Answer:

1. A = 2x; P = 4x+2. A = 4; P = 10.

2. A = y² +2; P = 4y +2. A = 27; P = 22.

Step-by-step explanation:

1. The area is the sum of the marked areas of each of the tiles:

A = x + x

A = 2x

__

The perimeter is the sum of the outside edge dimensions of the tiles. Working clockwise from the upper left corner, the sum of exposed edge lengths is ...

P = 1 + (x-1) + x + 1 + (x+1) + x

P = 4x +2

__

When x=2, these values become ...

A = 2·2 = 4 . . . . square units

P = 4·2+2 = 10 . . . . units

_____

2. Again, the area is the sum of the marked areas:

A = y² + 1 + 1

A = y² +2

__

The edge dimension of the square y² tile is presumed to be y, so the perimeter (starting from upper left) is ...

P = y +(y-2) +1 +2 +(y+1) +y

P = 4y +2

__

When y=5, these values become ...

A = 5² +2 = 27 . . . . square units

P = 4·5 +2 = 22 . . . . units

4 0

3 years ago

The sum of two numbers is 53. if twice the first number minus three times the second number is 26, find both numbers.

EastWind [94]

Make an equation system based on the problem
eg. a is the first number and b is the seond number
An equation for "The sum of two numbers is 53" is
⇒ a + b = 53
An equation for "twice the first number minus three times the second number is 26"
⇒ 2a - 3b = 26

Solve the equations by elimination and subtitution method
Eliminate a to find the value of b
a + b = 53 (multiplied by 2)
2a - 3b = 26
--------------------------------------
2a + 2b = 106
2a - 3b = 26
------------------- - (substract)
5b = 80
b = 80/5
b = 16

Subtitute the value of b to one of the equations
a + b = 53
a + 16 = 53
a = 53 - 16
a = 37

The numbers are 16 and 37

6 0

3 years ago