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Svetlanka [38]
3 years ago
14

If 35% of a number is 17.5, what is 90% of the number?

Mathematics
1 answer:
mrs_skeptik [129]3 years ago
6 0

Answer:

45

Step-by-step explanation:

35%=0.35

0.35x=17.5

x=17.5/0.35=50

90%=0.9

0.9*50=45

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An instructor of a biology class believes the average final exam score for his biology class was more than 75. Suppose a sample
likoan [24]

Answer:

The value for the test statistics = 3.48

Step-by-step explanation:

Given that:

population mean \mu = 75

sample size n = 25

sample mean \overline x= 78.48

standard deviation = 5

The value for the test statistics can be computed by using the formula:

z = \dfrac{\overline x- \mu}{\dfrac{\sigma}{\sqrt{n}}}

z = \dfrac{78.48- 75}{\dfrac{5}{\sqrt{25}}}

z = \dfrac{3.48}{\dfrac{5}{5}}

z = 3.48

The value for the test statistics = 3.48

3 0
3 years ago
What is the midpoint shown below
vekshin1
Given two points (x₁,y₁) and (x₂,y₂) the midpoint would be:
M=((x₁+x₂)/2 , (y₁+y₂)/2)

In this case, the points would be: (1,2) and (1,-5); therefore:
M=((1+1)/2 , (2-5)/2)=(2/2,-3/2)=(1, -3/2)

<span>Answer: B) (1,-3/2)</span>
6 0
3 years ago
He sum of two numbers is negative twelve​, and one number is five​ less than the other. Using the variables mm​ and nn​ to repre
arlik [135]

Answer:

mm + nn = -12

mm - nn = 5

Step-by-step explanation:

two equations can be derived from the question

6 0
2 years ago
Use the elimination method to solve the system of equations.
ExtremeBDS [4]

Answer:

Option D. (8, – 4)

Step-by-step explanation:

3x + 4y = 8 ..... (1)

x – y = 12.... (2)

To solve the above equation by elimination method, do the following:

Step 1:

Multiply equation 1 by the coefficient of x in equation 2 i.e 1.

Multiply equation 2 by the coefficient of x in equation 1 i.e 3. This is illustrated below:

1 × Equation 1

1 × (3x + 4y = 8)

3x + 4y = 8 ...... (3)

3 × Equation 2

3 × ( x – y = 12)

3x – 3y = 36......(4)

Step 2:

Subtract equation 3 from equation 4. This is illustrated below:

. 3x – 3y = 36

– (3x + 4y = 8)

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

– 7y = 28

Divide both side by the coefficient of y i.e –7

y = 28/–7

y = – 4

Step 3:

Substitute the value of y into any of the equation to obtain the value of x. In this case, we shall substitute the value of y into equation 2 as shown below:

x – y = 12

y = –4

x – (–4) = 12

x + 4 = 12

x = 12 – 4

x = 8

Therefore, the solution to the equation above is (8, – 4)

4 0
3 years ago
What is BC? <br> enter your answer in the box<br> units
Blababa [14]
Since Angles B and C are equal, the sides AB and AC must also be equal, so you can set the equations equal to each other and solve for x.  Then to find the length of BC, x can be plugged into the equation for that side length.

4x+4=6x-14
Add fourteen to each side to get x alone on the right side
4x+4+14=6x-14+14
4x+18=6x
Subtract 4x from each side to get all of the x's on one side of the equation
4x+18-4x=6x-4x
18=2x
Divide each side by two to find the value of one x
18/2=2x/2
9=x
Now that you know x equals 9, plug that into the equation for side length BC:
2x+7
2(9)+7
Multiply 2 by 9 to get rid of the parentheses
18+7
Add to simplify
25

The side of the triangle, BC, equals 25
7 0
3 years ago
Read 2 more answers
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