All categories

3 years ago

The sum of 5 consecutive integers is 205. What is the third number?

1 answer:

7 0

If 5 consecutive integers is 205,

then a + b + c + d + e = 205
but also, each integer is separated by a difference of 1

⇒ a + (a + 1) + (a + 2) + (a + 3) + (a + 4) = 205
⇒ 5a + 10 = 205
⇒ 5a = 195
⇒ a = 39

∴ third term = 39 + 2
= 41

You might be interested in

Distributive Property<br>3(2x + 2)

tresset_1 [31]

Answer: 6x+6

Step-by-step explanation:

3*2x=6x

3*2=6

Therefore 3(2x+2) = 6x+6

4 0

3 years ago

Evaluate the following using<br> powers of ten rules.<br> 104)1.042

Alinara [238K]

Answer:

0.0001042

Step-by-step explanation:

Power of tens rule states that if the denominator of a fraction has the positive power of 10, decimal in the numerator will be shifted to the left by the same number of places as exponent.

10⁴) 1.042 = $\frac{1.042}{10^4}$

In the denominator of the given fraction, exponent of 10 = +4

So the decimal in numerator will be shifted left by 4 places.

$\frac{1.042}{10^4}=0.0001042$

Therefore, answer is 0.0001042

5 0

3 years ago

The zookeeper starts with 100.75 pounds of food and tracks how much the otter eats and any food deliveries. What is the food sup

Airida [17]

Answer:

Part A

Eagle = 6 lbs * 60%

= 6 * 0.6

= 3.6 pounds

Bear = 105 lbs * 25%

= 105 * 0.25

= 26.25 pounds

3.6 + 26.25 = 29.85 pounds

Part B

Percent Increase = Change/Original * 100

= 10/105 * 100

= 9.52%

Step-by-step explanation:

hope this helps bye

8 0

3 years ago

I need help in my math homework

Anastaziya [24]

Q19.Sunday equals 351 so that plus a hundred equals 451 plus 50 equals 501 so now we round it to closest number wensday at 506

q20.so Thursday and friday added equal 774

q21.Anna's report is 830 Joe's is 670 it would equal 160 more than Joe's so problem is 830 minus 670 equals 160 that is how much more Anna is than joe

q22.ok so week on equals 486 rounded equals 490 next week she got 254 rounded 250 she wanted to earn 545 so if we take 490 and add 50 equals 540 then add 200 and then it's 740 so we now know are answer is near that so I'm going to add them both now 486 plus 254 equals 740 ironically the exact same amount.

q23.ok so 972 minus 468 equals 504 that is how many inches he is bigger than the other one

if you need anymore help just let me know mate

4 0

3 years ago

Suppose that A = {2,4,6}, B = {2,6}, C = {4,6}, and D = {4, 6, 8}. Determine which of these sets are subsets of which other of t

7nadin3 [17]

Answer:

Sets B and C are subsets of set A

3 0

3 years ago