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bazaltina [42]
3 years ago
9

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

Mathematics
1 answer:
lyudmila [28]3 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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A car is traveling at a constant speed of 60 miles per hour. How many feet does it travel in 10 seconds?
Nat2105 [25]

Answer:

880 ft.

Step-by-step explanation:

<em>First! We have to establish how many feet the car travels per hour. </em>

60 <em>(number of miles per hour)</em> x 5280 <em>(number of feet in a mile) </em>= 316,800 <em>(number of feet in an hour)</em>

<em>Next, since we know that there are 60 minutes in an hour we are going to divide our "number of feet in an hour" by 60 to get the "number of feet in a minute"</em>

316,800 ÷ 60 = 5280

<em>Once again, we are going to divide our "number of feet in a minute" by 60 to get the "number of feet per second".</em>

5280 ÷ 60 = 88

<em>Finally! We will multiple our "number of feet per second" by 10 to get how many feet the car can travel in 10 seconds.</em>

88 × 10 = 880

<em>So! Our car can travel 880 feet in 10 seconds.</em>

Hope this Helps! :)

<em>Have any questions? Ask below in the comments and I will try my best to answer.</em>

-SGO

<em> </em>

<em></em>

5 0
3 years ago
HELP THIS IS 50 points HALF OF MY GRADE!!:(
Rainbow [258]

there are 18 students are represented on the line plot

8 0
2 years ago
A brick of aluminum weighs 19,745 grams and has the following dimensions: length 29 cm, height 15 cm, and width 51 mm. What is t
garri49 [273]

If the volume of the aluminum brick will be 2218.5 cubic cm. Then the approximate density of the aluminum will be 8.9 grams per cubic cm.

<h3>What is density?</h3>

Density is defined as the mass per unit volume. It is an important parameter in order to understand the fluid and its properties. Its unit is kg/m³.

The mass and density relation is given as

Density = mass/volume

A brick of aluminum weighs 19,745 grams and has the following dimensions: length 29 cm, height 15 cm, and width 51 mm.

Then the approximate density of the aluminum will be

The volume of the aluminum brick will be

V = 29 x 15 x 5.1

V = 2218.5 cubic cm

Then the density will be

D = 19,745 / 2218.5

D = 8.900 gram per cubic cm

To learn more about the density refer to the link;

brainly.com/question/952755

#SPJ1

3 0
2 years ago
(08.03 MC)
tester [92]
The trick here is to notice that all 3 terms can be div. by 2:

2(x^2 + x - 12)

Note that -12 factors into -3 * 4 or -4 * 3.  Thus,

x^2 + x - 12 = (x-4)(x+3), and so <span>2x2 + 2x − 24 = 2(x-4)(x+3).</span>
7 0
3 years ago
Read 2 more answers
Can someone help me pls
Vladimir79 [104]

Answer:

10) area of 130° segment  4.5 in²

Step-by-step explanation:

10) area of full circle = πr² = (3.14)(2²) = 12.56 in²

area of 130° segment = (130/360)(12.56) = 4.54 in²

5 0
3 years ago
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