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mafiozo [28]
3 years ago
6

What is the sum of the first 75 even numbers starting with 2? Enter your answer in the box.

Mathematics
2 answers:
kykrilka [37]3 years ago
8 0

Answer:

5700 is your answer!

Step-by-step explanation:

Hope this helps!!

vova2212 [387]3 years ago
6 0

Answer:

5700

Step-by-step explanation:

step 1 Address the formula, input parameters & values.

Input parameters & values:

The number series 2, 4, 6, 8, 10, 12, .  .  .  .  , 150.

The first term a = 2

The common difference d = 2

Total number of terms n = 75

step 2 apply the input parameter values in the AP formula

Sum = n/2 x (a + Tn)

= 75/2 x (2 + 150)

= (75 x 152)/ 2

= 11400/2

2 + 4 + 6 + 8 + 10 + 12 + .  .  .  .   + 150 = 5700

Therefore, 5700 is the sum of first 75 even numbers.

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Answer:

10. 285

11. 6\frac{3}{4}

16.a. Stiles Family

<u>Reason</u>-The Styles family uses  twice as much as the other two, because the electric consumption per person (which is =745 KWh) is much higher than the other two.

16.b. Mendelez family

Reason-The Mendelez family uses the least amount of water, because the water usage  per person (which is =875 gallons) is much lower than the other two.

Step-by-step explanation:

10. In 6 mins, no. of machine parts produced = 114

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---------------------------------------------------------------------------------------------------------

11. To make 8 jumbo muffins take, amount of baking powder used = 1\frac{1}{2} =\frac{3}{2}

To make 1 jumbo muffin, amount of baking powder used = \frac{3}{2} / 8 =3/16

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16. a. Electricity consumed by 1 person in the Mendelez family :

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The Styles family uses  twice as much as the other two, because the electric consumption by 1 person is much higher than the other two.

------------------------------------------------------------------------------------------------------------

16.b. Water consumed by 1 person in the  Mendelez family = 3500/4=875 gallons

Water consumed by 1 person in the Barton family = 6400/6=1050 gallons

Water consumed by 1 person in the Styles family =2500/2=1250 gallons

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