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mafiozo [28]
3 years ago
6

Be sure the answer is reduced.

Mathematics
1 answer:
morpeh [17]3 years ago
7 0
Answer is (45-25s^2)/(9s^2+6s-45)
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Find the value of x and y so that both proportions will be correct:
andrew11 [14]

The values of x and y are 0.2 and 0.4 respectively.

<em><u>Explanation</u></em>

The given proportions are.....

x: 1\frac{2}{3}=y: 3\frac{1}{3} and y:1.5=0.2:0.75

From the second proportion, we will get....

y:1.5=0.2:0.75\\ \\ \frac{y}{1.5}=\frac{0.2}{0.75} \\ \\ 0.75y=0.2*1.5\\ \\ 0.75y=0.3\\ \\ y=\frac{0.3}{0.75}=0.4

Now, we will plug this y=0.4 into the first proportion. So we will get....

x: 1\frac{2}{3}=y: 3\frac{1}{3}\\ \\ x: \frac{5}{3}=0.4:\frac{10}{3} \\ \\ \frac{x}{\frac{5}{3}}= \frac{0.4}{\frac{10}{3}}\\ \\ \frac{3x}{5}=\frac{1.2}{10}\\ \\ 30x=6\\ \\ x= \frac{6}{30}=0.2

So, the values of x and y are 0.2 and 0.4 respectively.

6 0
3 years ago
Find the coordinates of the midpoint of a segment having the given endpoints.
inysia [295]

Answer:

A. (1.55, 2)

Step-by-step explanation:

The formula to apply when finding the midpoint of a segment where the coordinates of the end points are given is;

midpoint=(\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )

where (x₁,y₁) and (x₂,y₂) are the coordinates of the end points

Given;

x₁= -0.4 ,y₁=2.5,  x₂=3.5, y₂=1.5 then applying the formula for midpoint

=(\frac{-0.4+3.5}{2} ,\frac{2.5+1.5}{2} )\\\\\\=(\frac{3.1}{2} ,\frac{4.0}{2} )\\\\\\=(1.55,2.0)

3 0
3 years ago
Jaquez earns money by doing yard work. It takes her an average of 3 hours to pull weeds and an average of 2.5 hours to mow the l
vodomira [7]

Answer:

Step-by-step explanation:

Let x = number of hours to pull weed in a day

Let y = number of hours to now lawn in a day

It takes her an average of 3 hours to pull weeds and an average of 2.5 hours to mow the lawn. She can work no more than 8 hours a day.

This means

3x + 2.5y is lesser than/ equal to 8

She charges $50 to weed and $65 to mow the lawn.

This means she charges

50x +65y

She needs to cover her expenses of $120 to make a profit. This means she needs to earn an amount greater than or equal to $120

50x + 65y greater than or equal to 120

4 0
3 years ago
If 62% of customers prefer low cholesterol bacon, what number of degrees on a pie chart would be used to represent this?
Natalija [7]
62% of 360° = 0.62*360° = 223.2°
8 0
3 years ago
If you have 7 apples and drop 5 how many do you have left?
kifflom [539]

Answer:

2

Step-by-step explanation:

7-5=2

6 0
3 years ago
Read 2 more answers
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