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bazaltina [42]
2 years ago
9

Find the sum. 10 + 12 + 14 + ... + 80

Mathematics
1 answer:
lyudmila [28]2 years ago
8 0

Answer:

1620

Step-by-step explanation:

The amount of even integers between 10 and 80 inclusive is 36 (5 for each interval of 10 [e.g., 10-19 has 5, 20-29 has 5] and one extra for 80).

Since the numbers are consecutive even numbers, we can use the fact that the sum of the numbers is equal to the average of the numbers, times the number of numbers.

The average of the numbers is 45, since \frac{10+80}{2}=45. We can use only the two outer numbers to determine the average since the numbers are all evenly spaced as they are consecutive even numbers.

45\times36=1620, so the sum is 1620.

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The height of 5 boys is 5.4 ft, 6.12 ft., 7.02 ft. 4.9 ft, and 6.25 ft. What is the average
11Alexandr11 [23.1K]

Wll not just this question, but whenever you need to find average, you have to:

Wait, for example let's take ur question:

1st step we will add up all the values aka heights:

5.4+6.12+7.02+4.9+6.25=29.69

And then how many values did you take???

Its, 5 values

1st value= 5.4

2nd value=6.12

aaand so on....

However, then we will have to divide the sum by no.of values

29.69÷5=5.938

Aaand this is your FINAL ANSWER

Done!!!!

Hope I helped you!!!

4 0
2 years ago
Read 2 more answers
If 1/2 cup of soup equals 120 milliliters, then how many milliliters are in 3 1/2 cups of soup?
pav-90 [236]
Ok. So since they give you that 1/2 cup of soup equals 120 milliliters it makes this very easy. So since we know 120milliliters=1/2 and that 3 1/2= 7 1/2s (please note that the 7  1/2s doesnt mean seven and 1/2 it means seven 1/2s) you just add 120 to itself 7 times getting an answer of 840. (please vote brainliest ^^)
8 0
3 years ago
You will begin with a relatively standard calculation. consider a concave spherical mirror with a radius of curvature equal to 6
vodomira [7]
We are given a concave spherical mirror with the following dimensions:

Radius = 60 cm; D o = 30 cm
Height = 6 cm; h o = 6 cm

First, we need to know the focal length, f, of the object (this should be given). Then we can use the following formulas for calculation: 

Assume f = 10 cm

1/ f = 1 /d o + 1 / d i
1 / 10 = 1 / 30 + 1 / d i

d i = 15 cm

Then, calculate for h i:

h i / h o = - d i / d o

h i / 6 = - 15 / 30

h i = - 3 cm

Therefore, the distance of the object from the mirror is 3 centimeters. The negative sign means it is "inverted". 
6 0
2 years ago
Talia is packing a moving box. She has a square-framed poster with an area of 4 square feet. The cube-shaped box has a volume of
yan [13]

Answer:

Length of sides of poster = 2 Ft

Length of sides of box = 2.41 Ft

Since the box has a longer side than the poster, the poster will lie flat when placed in the box.

Step-by-step explanation:

In order to determine if the poster will lie flat in the box or not, we will determine the length of the sides of the poster and the box, if the length of the side of the square poster is smaller than that of the box, it will lie flat. This is calculated as follows:

Area of poster = 4 square feet

Area of poster =  (Length)²

4 = (Length)²

∴ Length = √(4)

Length of poster = 2 Ft

Volume of box = 14 cubic feet

Volume of box = (Length)³

14 = (Length)³

∴ Length = ∛(14)

Length = 2.41 Ft

∴ Length of sides of poster = 2 Ft

Length of sides of box = 2.41 Ft

Since the box has a longer side than the poster, the poster will lie flat when placed in the box.

3 0
3 years ago
The area of is 18 ft2 and the area of is 24 ft2. If , what is the ratio of LM to FG? A. 3:4 B. 9:16 C. D. 4:3
Gelneren [198K]
18/24 = 3/4 (divide top and bottom by 6)

answer is <span>A. 3:4</span>
8 0
3 years ago
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