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eimsori [14]
3 years ago
12

Problem 4 9x + 27 y = 45 The slope of the equation is..

Mathematics
1 answer:
Pani-rosa [81]3 years ago
7 0

Answer:

Slope = -1/3

Step-by-step explanation:

9x + 27y = 45

Let's rearrange

Following the equation of a line

y = mx + c

y - intercept point y

x - intercept point x

m - slope of the line

c - intercept of the line

9x + 27y = 45

27y = 45 - 9x

27y = -9x + 45

Divide both sides by 27 , to make the y the subject of the formula

27y/27 = ( -9x + 45)/27

y = ( -9x + 45)/27

y = mx + c

We have to separate, so as to get the slope and also the intercept

y = ( -9x + 45)/27

y = -9x/27 + 45/27

We can simply further

y = -x/3 + 5/3

Therefore, the slope of the equation is -1/3

The intercept is 5/3

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Use division(scale down)<br> to find two ratios equivalent<br> to 30:40.
Korvikt [17]

Answer:

3:4 and 15:20

Step-by-step explanation:

30: 40 divided by 10 = 3:4

30:40 divided by 2 = 15:20

4 0
3 years ago
Joyce karen and paula are starters on their school basketball team how many different groups of three can be chosen for a newspa
vekshin1

The combination shows that the different groups of three that can be chosen for a newspaper photo is 10.

<h3>How to calculate the value?</h3>

From the information, Joyce, Karen and Paula are starters on their school basketball team.

The information is to illustrate the different groups of three that can be chosen for a newspaper photo.

This will be:

= 5!/3!(5 - 3)!

= 5!/3!2!

= (5 × 4 × 3 × 2 × 1)/(3 × 2 × 2)

= 20/2

= 10

There will be 10 groups.

Learn more about combinations on:

brainly.com/question/4658834

#SPJ1

6 0
1 year ago
Please help with math show your work
zzz [600]
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5 0
3 years ago
Read 2 more answers
On a piece of paper, graph yz -2x - 2. Then determine which answer choice
alukav5142 [94]

Answer:

B

Step-by-step explanation:

y≥-2x-2

put x=0,y=0

0≥-2

which is true.

so (0,0) lies on it.

graph is a solid line.

so B satisfies it.

3 0
3 years ago
A flying carpet flies 2.4 miles with the wind in the same amount of time it flies 1.4 miles against the wind. The wind speed is
Ainat [17]

Answer:

15.2~mph

Step-by-step explanation:

Let the time flown by the flying carpet be t. Then, we have that (2.4)/t=(1.4)/t+2*4.

We multiply both sides of the equation by t to get 2.4=1.4+8t.

We subtract 1.4 from both sides to get 1=8t.

We divide both sides of the equation by t=1/8.

We know that the speed of the flying carpet in still wind is the average of the rates of the speed of the flying carpet with the wind and against the wind.

The speed with wind is (2.4)/(1/8)=19.2mph.

The speed against wind is (1.4)/(1/8)=11.2mph.

The speed in still wind is (19.2+11.2)/2=(30.4)/2=15.2.

Therefore, the answer is \boxed{15.2~mph} and we're done!

4 0
3 years ago
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