All categories

3 years ago

Find the slope and the y-intercept of the line with equation 9x + 10y = 91.

Mathematics

1 answer:

skelet666 [1.2K]3 years ago

6 0

y=mx+b

M is also slope. b= y-intercept

9x + 10y = 91

move 9x to the other side

sign changes from +9x to- 9x

9x-9x+10y=-9x+91

10y=-9x+91

Divide both sides by 10 to get y by itself

10y/10=-9/10x+91/10

y=-9/10x+91/10

y-intercept (x=0)

9x + 10y = 91

9(0)+10y=91

0+10y=91

10y=91

Divide both sides by 10

10y/10=91/10

y=91/10

Answer:

slope (m)=-9/10

y-intercept :(0, 91/10)

You might be interested in

I need help on 11 and 12 and you don’t need to graph it

Lera25 [3.4K]

Answer:

Part 11) see the explanation

Part 12) The graph in the attached figure

Step-by-step explanation:

Part 11)

Let

x ----> the number of tickets is section A (cost $50 each)

y ----> the number of tickets is section B (cost $40 each)

we know that

At most means "less than or equal to"

$x+y\leq 10$ ----> inequality A

$50x+40y\leq 450$ ----> inequality B

Using a graphing tool

The solution is the shaded area

see the attached figure N 1

Three possible combinations are the points

(0,10),(5,5),(9,0)

That means

(0,10) ----> They buy 0 seats in section A and 10 seats in section B

(5,5) ----> They buy 5 seats in section A and 5 seats in section B

(9,0) ----> They buy 9 seats in section A and 0 seats in section B

Part 12)

Let

x ----> the number of hours Kendra works as a babysitter

y----> the number of hours Kendra works providing technical support

we know that

$x+y\leq 80$ ----> inequality A

At least means "greater than or equal to"

$10x+15y\geq 1,000$ ----> inequality B

using a graphing tool

The solution is the triangular shaded area

The graph in the attached figure N 2

3 0

3 years ago

You have a grade of 85 & 90

faltersainse [42]

Answer:

You need to get a 95 on the next test to have a 90 grade average.

Step-by-step explanation:

(85 + 90 + n)/3 = 90

<u>Step 1: Multiply both sides by 3</u>

(85 + 90 + n)/3 * 3 = 90 * 3

85 + 90 + n = 270

<u>Step 2: Subtract 85 from both sides</u>

85 + 90 + n - 85 = 270 - 85

90 + n - 90 = 185 - 90

n = 95

Answer: You need to get a 95 on the next test to have a 90 grade average.

7 0

3 years ago

Read 2 more answers

What is the radius of a circle whose equation is (x + 5)^2 + (y – 3)^2 = 42?

natita [175]

The equation of a circle centered at point (x1,y1) with a radius r is given by

$(x-x_1)^2 + (y-y_1)^2 = r^2$

are you sure you wrote down the problem correctly?

7 0

3 years ago

Read 2 more answers

There are 90 total days in winter. If it snowed on 30% of the days, on how many days of winter did it snow?

Artemon [7]

Answer:

Step-by-step explanation:

30%=0.3 in decimal form

90×0.3=27

4 0

3 years ago

Read 2 more answers

A local fast food restaurant takes in $9000 in a 4 hour period, where the amount taken in varies directly with the number of hou

Zepler [3.9K]

As per the direct variation formula, it take 11 hours : 6 minutes : 36 seconds to earn $25,000 for the restaurant.

Direct variation:

Direct Variation is said to be the relationship between two variables in which one is a constant multiple of the other.

Direct variation equation: y = kx

Given,

A local fast food restaurant takes in $9000 in a 4 hours period. Write a direct variation equation for the relationship income and number of hours.

Here we need to estimate how many hours it would take the restaurant to earn $25,000.

a) Let us consider income (I) directly varies to number of hours (h) where k is the constant of variation.

I = kh ⇒ Direct variation equation

Solve for k:

9,000 = (k)(4)

k = 9,000/4

k = 2,250

b) When income (I) = 25,000, find the number of hours:

I = kh

25,000 = (2,250) (h)

h = 25,000/2,250

h = 11.11

It will take approximately 11 hours : 6 minutes : 36 seconds for the restaurant to earn $25,000.

To know more about Direct variation here.

brainly.com/question/14254277

#SPJ1

4 0

1 year ago