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Rashid [163]
2 years ago
13

What is the equation of the line that has a slope of 3 and passes through the point (1,-2)?

Mathematics
1 answer:
Vera_Pavlovna [14]2 years ago
3 0

Answer:

y = 3x - 5

Step-by-step explanation:

y = mx + b

y - b = mx

-b = mx - y

b = -mx + y

b = -3(1) -2

b = -5

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A store manager predicts that 115 hats will be sold if each hat costs $18. The manager predicts that 3 less hats will be sold fo
8_murik_8 [283]

Answer:

The prices at which manager predict that at least 55 hats will be sold would be would be of $38

Step-by-step explanation:

According to the given data we the following:

Number of hats sold at $18=115

The manager predicts at 3 less will sold for every rise in 1 $ for at least 55 hats.

Therefore, reduction in number=115 hats-55 hats=60

So, increase in price=reduction in number/number of hats manager predicts that  will be sold for every $1 increase in price

increase in price=60/3=$20

Therefore, prices at which manager predict that at least 55 hats will be sold would be=$18+$20=$38

The prices at which manager predict that at least 55 hats will be sold would be would be of $38

8 0
3 years ago
Simplify the expression.<br> The expression is<br> (5x+1/2)+(9x-2 1/2)
Alexxandr [17]
All you have to do here is combine like terms.
5x + 9x = 14x
.5 - 2.5 = -2

14x - 2
5 0
3 years ago
David has 16 skate wheels, which he is putting on 4 boards to go with the 3 boards he has. How many boards does he have altogeth
Aleksandr-060686 [28]
He has a total of 7 Boards. he has 3 boards of his own and then you add the 4 additional boards that he has 
4 0
3 years ago
If EFH = (5x + 1)°, HFG = 62°, and EFG = (18x + 11)°, find EFH
olga55 [171]

Given:

Consider the below figure attached with this question.

∠EFH = (5x + 1)°, ∠HFG = 62°, and ∠EFG = (18x + 11)°

To find:

The measure of ∠EFH.

Solution:

From the figure it is clear that ∠EFG is divide in two parts ∠EFH and ∠HFG. So,

\angle EFG=\angle EFH+\angle HFG

18x+11=(5x+1)+(62)

18x+11=5x+63

Isolate variable terms.

18x-5x=63-11

13x=52

Divide both sides by 13.

x=\dfrac{52}{13}

x=4

The value of x is 4.

\angle EFH=(5x+1)^\circ

\angle EFH=(5(4)+1)^\circ

\angle EFH=(20+1)^\circ

\angle EFH=21^\circ

Therefore, the measure of ∠EFH is 21°.

8 0
3 years ago
You prepare 10 scoops of dog food for 5 dogs, and prepare 16 scoops of dog food for 8 dogs. What
Svetllana [295]

Answer:

<em>12 scoops of dog food are needed for 6 dogs,</em>

Step-by-step explanation:

<u>Proportions</u>

The number of scoops of dog foods and the number of dogs are proportional variables.

We are given that 10 scoops of dog foods are used for 5 dogs. This gives a proportion of 10/5=2 scoops per dog.

We also know that 16 scoops are used for 8 dogs. The proportion is also 16/8=2 scoops per dog.

Thus, the constant of proportionality is 2.

For 6 dogs, you need to prepare 2*6 = 12 scoops of dog food.

12 scoops of dog food are needed for 6 dogs,

3 0
3 years ago
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