What is the sum of 15 and the product of 5 and v as an algebraic expression?

Answers

Answer 1

Answer: 1. y - 12
2. y= 15c
3. y= 17/k
4. y= v + 3
5. y= t/82
6. y= 13 + 2h
7. y= 6.7 + 5n
8. y= 7 - 3/v

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Please help me with math, worth 10 points! :D

explain the pattern used to place the decimal in the answer when you multiply or divide a decimal by a power of 10

Answers

when multiplying by 10, you basically add a zero to the right; everything moves up one decimal place to the left.

when diving, it is he opposite, you basically take away a zero place; everything goes to the right one decimal place.

ex:
10x6=60
6/10= 0.6
10x54=540
54/10=5.4

A shoe box is 6 inches wide, 11 inches long, and 5 inches high. what is the volume of the box

Answers

Volume= length* width* height
V=11*6*5
V=330 inches

V= L*W*H
6*11 is 66
66*5 is 330
Make sure your answer is to the third power.

Shelly sells ice cream bars at the beach. In addition to a fixed salary, she earns a commission for each ice cream bar she sells. The table shows Shelly's total earnings, y, from selling x bars of ice cream:Which equation best shows the relationship between x and y?

Ice Cream Sales and Earnings
Number of Bars Sold(x) Total Earnings(dollars) (y)

0 60

1 65

2 70

3 75

y=x+70
y=5x+60
y+5x+70
y+x+60

Answers

Simply, the question wants you to write an equation for the points they gave you.

The points are:
(0,60)
(1,65)
(2,70)
(3,75)

The first thing we need to do is to find the slope.

$\sf{Slope =(y_2-y_1)/(x_2-x_1) =(65-60)/(1-0) =(5)/(1) =\boxed{\bf{5}}$

The slope is 5.

If we write an equation in the form of y = mx + b, where m is the slope, and b is the y-intercept, we would have so far:

y = 5x + b

Now, we need to find the y-intercept.
We are given the point (0,60)
That point lies on the y-axis, and therefore, 60 is the y-intercept.

Our final equation is y = 5x + 60.

SOLVING SYSTEMS OF EQUASIONS BY ELIMINATION. -4x-2y=-12
4x+8y=-24

Answers

Your going to add the two equations to cancel out the x term. You get 6y=-36. Divide both sides by 6 and you get y=-6. Plug y in in your first equation and you'll get -4x-2(-6)=-12. Multiply the -2 by the -6 and you'll get -4x+12=-12. Subtract 12 from both sides and you get -4x=-24. Divide both sides by -4 and you get x=6. Your final answer is x=6, y=-6.

-4x-2y=-12
4x+8y=-24

Cancel out the x
6y=-36
Divide both sides by 6
y=-6

Substitute the value of y to any equation
-4x-2y=-12
-4x-2[-6]=-12
-4x+12=-12
-4x=-24
Divide both sides by -4
x=6

The shorter leg of a right triangle is 6 feet shorter than the longer leg. The hypotenuse is 6 feet longer than the longer leg. Find the side lengths of the triangle.

Answers

The length of longer leg is 24 feet, shorter leg is 18 feet and hypotenuse is 30 feet.

Step-by-step explanation:

Let,

Longer leg = a = x

Shorter leg = b = x - 6

Hypotenuse = c = x + 6

As the triangle is right angles, therefore, using pythagoras theorem;

$a^2+b^2=c^2\n(x)^2+(x-6)^2=(x+6)^2\nx^2+(x^2-12x+36)=x^2+12x+36\nx^2+x^2-12x+36=x^2+12x+36\n 2x^2-12x+36=x^2+12x+36$

Adding (-x² - 12x-36) on both sides

$2x^2-12x+36-x^2-12x-36=x^2+12x+36-x^2-12x-36\nx^2-24x=0$

Taking x common;

$x(x-24)=0\n$

Either,

x=0

or,

x-24 = 0 => x=24

As length cannot be 0 therefore,

Longer leg = x = 24 feet

Shorter leg = x-6 = 24-6 = 18 feet

Hypotenuse = x+6 = 24+6 = 30 feet.

The length of longer leg is 24 feet, shorter leg is 18 feet and hypotenuse is 30 feet.

Keywords: triangle, addition

Learn more about triangles at:

#LearnwithBrainly

A radio station had 300 tickets to a concert. They gave away 5 times as many tickets to listeners as to employees. How many tickets did they give away to employees?

Answers

There has to be 60 tickets because if you divide 300 by 5 and then subtract that number from 300 you get the about for the listeners and the other number is for the employees.

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