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3 years ago

A party of 5 wants to tip 20 percent of their total $175 bill. If divided evenly, how much should each person tip?

1 answer:

7 0

Since 20 percent of 175 is 35, the total cost of the meal is 210. Dividing that between 5 people, each person would pay $42.

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What is an equation of the line that passes through (-2,3) and is parallel to y=5x + 4.Give your answer in slope intercept form

9966 [12]

Answer:

y= 5x+13

Step-by-step explanation:

Slope- intercept form

y= mx +b, where m is the gradient and b is the y-intercept.

Parallel lines have the same gradient.

y= 5x +4

Gradient of given line= 5

Thus, gradient of line= 5

Subst. m=5 into the equation.

y= 5x +b

To find the value of b, substitute a coordinate

When x= -2, y=3,

3= 5(-2) +b

3= -10 +b

b= 3 +10 (+10 on both sides)

b= 13

Thus, the equation of the line is y= 5x +13.

8 0

3 years ago

Find the value of k so that the graph of 13y + kx = 4 and the line containing the points (5, -8) and (2, 4) are parallel.

guajiro [1.7K]

the graph of 13y + kx = 4 and the line containing the points (5, -8) and (2, 4) are parallel.

We find the slope of parallel line using two given points

(5, -8) and (2, 4)

Slope formula is

$slope = \frac{y_2-y_1}{x_2-x_1}$

$slope = \frac{4-(-8)}{2-5}$

$slope = \frac{12)}{-3}=-4$

so slope = -4

Slope of any two parallel lines are always equal

Lets find the slope of the equation 13y + kx = 4

Subtract kx on both sides

13 y = -kx + 4

Divide both sides by 13

$y= \frac{-kx}{13} + \frac{4}{13}$

Now slope = -k/13

We know slope of parallel lines are same

So the slope of 13y + kx = 4 is also -4

Hence we equation the slope and find out k

$\frac{-k}{13}=-4$

Multiply by 13 on both sides and divide by -1

k = 52

the value of k = 52

4 0

2 years ago

Read 2 more answers

Distance between (-3,1) (1,5)

Mamont248 [21]

Answer & Step-by-step explanation:

For this problem, we will use the distance formula.

$d=\sqrt{(x2-x1)^2+(y2-y1)^2}$

For our (x1, y1), we will use (-3, 1). For our (x2, y2), we will use (1, 5). Now let's plug in our numbers and solve the problem.

$d=\sqrt{(1-(-3))^2+(5-1)^2}$

$d=\sqrt{4^2+4^2}$

$d=\sqrt{16 + 16}$

$d=\sqrt{32}$

$d=5.657$

So, the distance between (-3,1) and (1,5) is 5.657 units.

5 0

2 years ago

What is the multiplicative inverse of the number 7?

vagabundo [1.1K]

Answer:

1/7

Step-by-step explanation:

Another word for multiplicative inverse is reciprocal

It is the number that when multiplied by the original number gives you one

7 * x = 1

Divide by 7

7x/7 = 1/7

x = 1/7

The multiplicative inverse of 7 is 1/7

3 0

2 years ago

Read 2 more answers

What is the answer to this equation t+t+t=12

OLEGan [10]

Answer:

t = 4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS
Equality Properties

Algebra I

Combining Like Terms

Step-by-step explanation:

Step 1: Define equation

t + t + t = 12

Step 2: Solve for t

Combine like terms (t): 3t = 12
Divide 3 on both sides: t = 4

Step 3: Check

Plug in t into the original equation to verify it's a solution.

Substitute in t: 4 + 4 + 4 = 12
Add: 8 + 4 = 12
Add: 12 = 12

Here we see that 12 does indeed equal 12.

∴ t = 4 is a solution of the equation.

3 0

3 years ago