A tip of $5 for a bill of $40 represents what percent of the total bill

Solve,justify and check: 3(7+5n)=6n+6(1+4n)

vlabodo [156]

Answer:

1=n

Step-by-step explanation:

Step 1- Distribute into the parenthesis.

7(3)+5(3)n= 6n+1(6)+4(6)n

Step 2- Multiply

21+15n= 6n+6+24n

Step 3- Add common variables to simplify.

21+15n= (24n+6n)+6

21+15n= 30n+6

Step 4- Subtract the smallest variable to both sides.

21+15n= 30n+6

-15n -15n

21= 15n+6

Step 5- Subtract 6 to both sides.

21= 15n+6

-6 -6

15= 15n

Step 6- Divide both sides by 15.

15 15

1=n

4 0

3 years ago

Read 2 more answers

I NEED HELP ASAP! 7x(x+1.8) = 0<br><br> Solve for x

Naily [24]

7x(x+1.8)=0
7x+12.6x=0 (Distributed)
19.6x=0 (Added like terms)
x=0 (Divided 0 by 19.6)
I hope that helps

7 0

2 years ago

Read 2 more answers

The circumference of the base of a cone is 24 inches. The slant height of the cone is 20 inches.

loris [4]

The surface area of a cone with circumference base of 24π inches and slant height of 20 inches is 384π inches² in terms of π.

<h3>Surface area of a cone</h3>

surface area = πr(r + l)

where

r = radius
l = slant height

Therefore,

l = 20 inches

24π = 2πr

r = 12

Therefore,

surface area = π(12)(12 + 20)

surface area = 12π(12 + 20)

surface area = 12π × 32

surface area = 384π inches²

learn more on surface area here: brainly.com/question/2847956

6 0

2 years ago

Read 2 more answers

For the quadratic relation y = -3x2 - 7x + 8,

Varvara68 [4.7K]

Answer:

a) y-int is at (0, 8)

b) zeros are at (0.8, 0) and (-3.2, 0); after having rounded to the nearest tenth.

Step-by-step explanation:

Given that y = -3x² - 7x + 8

we can find our y-intercept by setting x = 0

y = -3 (0)² - 7 (0) + 8

y = 8

so, our y intercept is at (8, 0)

To find our zeros, or x-intercepts, we need to set y = 0

0 = -3x² - 7x + 8

Let's use the quadratic formula

x = (-b ± √(b² - 4 (a * c))) / 2a

where, in this case

a = -3

b = -7

c = 8

x = (7 ± √((-7)² - 4 (-3 * 8))) / (2 * -3)

x = (7 ± √(49 - -96) / -6

x = (7 ± √145) / -6

using the addition pathway

x = (7 + √145) / -6

x = 3.2

using the subtraction pathway

x = (7 - √145) / -6

x = -0.8

So, our x-intercepts, or zeros, will lie on the points

(0.8, 0) and (-3.2, 0)

Create a table of x and y values using the given equation, and plot and graph. Clearly label your y and x intercepts.

(x, y)

(-3, 2)

(-2, 10)

(-1, 12)

(0, 8)

(1, -2)

(2, -18)

(3, -40)

4 0

3 years ago

Read 2 more answers

Which describes the translation of f(x) to g(x)? translation of four units up translation of five units up translation of four u

Jet001 [13]

Answer:

Option (1)

Step-by-step explanation:

Given question is incomplete; find the picture of the graph in the attachment.

Parent function f(x) = $\frac{1}{2^x}$

When function 'f' is translated by 4 units up which is evident form the graph, the translated function obtained is,

g(x) = f(x) + 4

g(x) = $\frac{1}{2^x}+4$

Therefore, Option (1). [Translation of 4 units up] is defined by the graph attached.

6 0

3 years ago