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Harrizon [31]
3 years ago
12

The average of p, q, and r is 40. The average of a, b, c, and d is 5. What is the average of a, b, c, d, p, q, and r?

Mathematics
1 answer:
Pachacha [2.7K]3 years ago
3 0

Answer:

20

Step-by-step explanation:

Average = sum of numbers divided by number of numbers

sum of p q and r: 40*3=120

sum of a b c and d: 5*4=20

sum of a b c d p q r: 120+20=140

average of a b c d p q r: 140/7, or 20

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If f(1)=4 and f(n)= -2(n-1) -4 then find the value of f(5)
hoa [83]

Answer: f(5) = 43

Step-by-step explanation:

7 0
2 years ago
Help! Need this done quickly! picture is upside down so please flip your screen! sorry! ​
iogann1982 [59]

Answer:

x=6

Step-by-step explanation:

Hi there!

<u>1) Determine the perimeter of the square</u>

We're given that the perimeters of the square and the rectangle are equal. Therefore, after finding the perimeter of the square, we will also know the perimeter of the rectangle.

Find the side length of the square using the area formula:

A=l^2 where l is the side length

Plug in the given area 121 in.²

121=l^2

Take the square root of both sides

\sqrt{121} = \sqrt{l^2} \\11=l

Therefore, the side length of the square is 11 inches. Plug this into the perimeter formula:

P=4l where l is the side length

P=4(11)\\P=44

Therefore, the perimeter of the square is 44 inches. The perimeter of the rectangle is also 44 inches.

<u>2) Determine the value of x</u>

Use the formula for the perimeter of a rectangle:

P=2(l+w) where l is the length and w is the width

Plug in 3x and x-2 as the length and width

P=2(3x+(x-2))\\P=2(3x+x-2)\\P=2(4x-2)

Plug in the perimeter 44 in.

44=2(4x-2)

Expand the parentheses

44=8x-4

Add 4 to both sides to isolate 8x

44+4=8x-4+4\\48=8x

Divide both sides by 8 to isolate x

\frac{48}{8}=\frac{8x}{8}  \\6=x

Therefore, the value of x is 6.

I hope this helps!

4 0
3 years ago
Is 0.529 greater than 0.54
attashe74 [19]
No. 0.54 is equal to 0.540

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6 0
3 years ago
Read 2 more answers
If g(x) is a linear function such that g(-3) = 2 and g(1) = -4, find g(7).
eimsori [14]
<h3>Answer:   -13</h3>

=======================================

Explanation:

g(-3) = 2 means x = -3 and y = 2 pair up together to form the point (-3,2)

g(1) = -4 means we have the point (1,-4)

Find the slope of the line through the two points (-3,2) and (1,-4)

m = (y2-y1)/(x2-x1)

m = (-4-2)/(1-(-3))

m = (-4-2)/(1+3)

m = -6/4

m = -3/2

m = -1.5

The general slope intercept form y = mx+b turns into y = -1.5x+b after replacing m with -1.5

Plug in (x,y) = (-3,2) which is one of the points mentioned earlier and we end up with this new equation:  2 = -1.5*(-3) + b

Let's solve for b

2 = -1.5*(-3)+b

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2-4.5 = 4.5+b-4.5 .... subtract 4.5 from both sides

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The last step is to plug in x = 7 and compute

g(x) = -1.5*x - 2.5

g(7) = -1.5*7 - 2.5

g(7) = -10.5 - 2.5

g(7) = -13

6 0
3 years ago
Read 2 more answers
What is the image point of (1, -2) after a translation right 4 units and down 4 units?
zaharov [31]
It would be 4 over -4
3 0
2 years ago
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