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Rama09 [41]
2 years ago
9

How would you do this problem 1/4 (8-6x+20)

Mathematics
2 answers:
Volgvan2 years ago
7 0
So to do this question, first rearrange the numerals n the parenthesis.

\frac{1}{4} (8 + 20 - 6x)
\frac{1}{4} (28 - 6x)

Now, distribute the \frac{1}{4} into the parenthesis.
\frac{28}{4} - \frac{6x}{4}
7 - \frac{6x}{4}

- \frac{6x}{4} = -1.5x

7 - 1.5x
den301095 [7]2 years ago
4 0
Distribute 1/4 by multiplying it by 8, -6X and 20 you end up with 
1/4times8=2
1/4times-6x= -1.5x
1/4times20=5
so 2-1.5x+5
add 2 and 5 to get 7
the answer is -1.5x+7
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In the xy-plane, the equations x + 2y = 10 and
konstantin123 [22]

By solving given equations, the value of c is 30.

Given two equations

x + 2y = 10 and

3x + 6y = c

These lines represents the same line for some constant c.

Value of c:

x + 2y = 10-------------(1)

3x + 6y = c-------------(2)

Dividing equation (2) by 3

\frac{3x}{3}+ \frac{6y}{3} =\frac{c}{3}

After solving the above equation, we get

x + 2y = c/3-----------(3)

Remember that a line is written as ax + by = c, in our case, both lines have a =1 and b = 2. Therefore, in orther that the two lines are equal, we need that, 10 = c/3

c = 10 × 3 = 30

c = 30

Therefore,

The value of c is 30.

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7 0
1 year ago
What is the maximum area for a rectangle whose perimeter is 48 meters?
MakcuM [25]

Answer:

12m²

Step-by-step explanation:

For a rectangle, with length L and width W,

the perimeter is given as

Perimeter,

P = (2 x Length)  + (2 x Width)

P = 2L + 2W

It is given that the perimeter is 48, hence

48 = 2L + 2W   (divide both sides by 2)

24 = L + W

or

L = 24 - W -----> eq 1

Also realize that the Area of a Rectangle is given by

A = L x W  -----> eq 2

Substituting eq 1 into eq 2,

A = (24 - W) x W

A = -W² + 24W

Recall that for a quadratic equation y = ax² + bx + c, the maxima or minima is given by y(max) =  -b/2a

In this case, b = 24 and a = -1

-b/2a = -24/[ 2(-1) ] = 12

Hence for A to be maximum A(max) = 12m² (Answer)

5 0
3 years ago
An industrial psychologist consulting with a chain of music stores knows that the average number of complaints management receiv
vova2212 [387]

Answer: See explanation

Step-by-step explanation:

1. Use the five steps of hypothesis testing.

Step 1: The aim of the research is to conduct the five steps of hypothesis testing.

Step 2:

Null hypothesis: H0 u= 4

Population mean: H1 u = 4

Alternate hypothesis: u ≠ 4

Population mean: u ≠ 4

Step 3 and step 4 are attached.

Step 5: Based on the calculation, the calculated value of t is less than the t critical value, therefore, the null hypothesis will be failed to be rejected.

2. Sketch the distributions involved

This has been attached.

3. Explain the logic of what you did to a person who is familiar with hypothesis testing, but knows nothing about t tests of any kind.

The distribution is "t".

The means is tested by using T-test.

Chi-square is used to test the single variance.

8 0
2 years ago
Find the midpoint of the segment with the given endpoints.
Ksju [112]

The mid-point for given endpoints is (4,3)

Step-by-step explanation:

a mid-point is the point on a line segment that divides it into two equal portions.

If (x1,y1) and (x2,y2) are the coordinates of vertices of a line segment, then mid-point is given by:

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

given

(x1,y1) = (9,9)

(x2,y2) = (-1,-3)

M = (\frac{9-1}{2}, \frac{9-3}{2})\\\\=(\frac{8}{2}, \frac{6}{2})\\\\=(4,3)

The mid-point for given endpoints is (4,3)

Keywords: Coordinate Geometry, Mid-point

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5 0
3 years ago
Jana finished 1/4 of her homework at school and 2/3 of it before dinner. How much of her homework has she done
Galina-37 [17]

Answer:

the answer is 11/12

Step-by-step explanation:

well she has done 11/12 of her work so she just needs to do i more question baccically

5 0
3 years ago
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