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3 years ago

Four consecutive even integers add up to 372. What are the integers

Mathematics

1 answer:

stepan [7]3 years ago

7 0

Answer:

90, 92, 94, 96

Step-by-step explanation:

Let the three consecutive even integers be x, (x + 2), (x +4) & (x + 6)

$\therefore \: x + (x + 2) + (x + 4) +(x +6)= 372 \\ \therefore \:4x + 12 = 372\\ \therefore \:4x = 372 - 12 \\ \therefore \:4x = 360 \\ \therefore \:x = \frac{360}{4} \\ \therefore \:x =90 \\ x + 2 = 90 + 2 = 92 \\ x + 4 = 90 + 4 = 94\\x + 6= 90 + 6= 96 \\$

Hence, the three consecutive even integers are 90, 92, 94, 96.

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Terry goes to the store to buy a shirt. The original price is $32. The shirt is

Anton [14]

Answer:

The closest amount paid is $23

Step-by-step explanation:

Given

$Price = \$32$

$Mark\ down = 20\%$

Amount = 10% of Marked down price

Required

Determine the amount paid

First, we calculate the marked down price P2:

$P_2 = Price(1 - Mark\ down)$

Substitute values for Price and Mark down

$P_2 = \$32 * (1 - 20\%)$

Express percentage as decimal

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Remove bracket

$P_2 = \$32 * 0.80$

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The payable amount is 10% off the marked down price,

This is calculated as:

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Substitute $25.6 for P2

$Amount = \$25.6 - \$25.6* 10\%$

Express percentage as decimal

$Amount = \$25.6 - \$25.6* 0.10$

$Amount = \$25.6 - \$2.56$

$Amount = \$23.04$

<em>The closest amount paid is $23</em>

8 0

3 years ago

The speed of a river current is 7 mph. If a boat travels 20 miles downstream in the same time that it takes to travel 10 miles u

dem82 [27]

Answer:

21 mph

Step-by-step explanation:

The relationship between time, speed, and distance is ...

time = distance/speed

The speed downstream is b+7 if the boat's speed is b. The speed upstream is b-7, and the times in each direction are equal. This means ...

20/(b+7) = 10/(b-7) . . . . . . time in each direction are the same

20(b-7) = 10(b+7) . . . . . . . cross multiply

(20-10)b = 7(10+20) . . . . . add 7(20)-10b

b = 7(20 +10)/(20 -10) = 21 . . . . mph

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3 years ago

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anygoal [31]

Answer:

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Step-by-step explanation:

By proportion number of litres for 1428 miles

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4 0

2 years ago

How do you round 7,298,341 to the nearest 10,000.

Cloud [144]

You would have to underline 9 since that is the 10,000 place and draw an arrow from the 9 to the 8 next to it and if it is 5 or more you would have to add 1 to the 9 if it is 4 or less you would change the whole number into 7,290,000. If it is 5 or more the 9 would become a 10 which would make the number 7,300,000

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4 years ago

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11111nata11111 [884]

Answer:

C: (1,3)

Step-by-step explanation:

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3 years ago

Four consecutive even integers add up to 372. What are the integers​

Four consecutive even integers add up to 372. What are the integers