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vazorg [7]
3 years ago
5

The sum of three consecutive integers is 90. Find the three numbers by letting x

Mathematics
2 answers:
Law Incorporation [45]3 years ago
8 0

Answer:

x = 28

Step-by-step explanation:

let us take three consecutive numbers be (x + 1), (x + 2) and (x + 3)

Now,

The sum of three consecutive integers is 90

i.e.,

(x + 1) + (x + 2) + (x + 3) = 90

x + 1 + x + 2 x + 3 = 90

3x + 6 = 90

3x = 90 - 6

3x = 84

x = 84/3

x = 28

x = 28Thus, The value of x is 28

<h2><em><u>VERIFICATION</u></em><em><u>:</u></em></h2>

(x + 1) + (x + 2) + (x + 3) = 90

(28 + 1) + (28 + 2) + (28 + 3) = 90

28 + 1 + 28 + 2 + 28 + 3 = 90

90 = 90

SVETLANKA909090 [29]3 years ago
3 0

Answer:

29, 30, 31

Step-by-step explanation:

Just took the test.

There is <u>c. 29, 30, 31</u>

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Answer:

My family is traveling faster, since it is traveling at the rate of 950 miles per day, while the other family travels at 900 miles per day.

Step-by-step explanation:

Since I am taking a trip at the same time as another family, and my family traveled 1,900 miles in 2 days, while their family traveled 2,700 miles in 3 days, to determine who is traveling faster the following calculation must be performed:

1,900 / 2 = 950

2,700 / 3 = 900

Thus, my family is traveling faster, since it is traveling at the rate of 950 miles per day, while the other family travels at 900 miles per day.

4 0
3 years ago
Lucas ate a fraction of a pizza. Hugo ate 5/8 of the same pizza. Now there is 1/8 of the pizza left what fraction of pizza did L
MatroZZZ [7]

Answer:

\frac{2}{8}

Step-by-step explanation:

In order to solve this equation we will need to use what we know in order to find the answer.

1=\frac{8}{8}

H=\frac{5}{8}

R = \frac{1}{8}

If Huge ate 5/8's of the pizza and 8/8's creates a whole pizza then the question is quite simple. There is only 1/8's remaining after the boys finish their meal but 5/8's of the pizza was already eaten by Hugo meaning Lucas has to eat 2/8's of the pizza in order for there to be only 1/8's of the pizza left which means 2/8's is your answer.

Hope this helps.

5 0
2 years ago
A circle with a radius of 3 has a central angle of 17/9 pi what is the area of the sector
mafiozo [28]

Answer:17/2pi

Explained:

Just writing longer so I don’t have to go into details. If this is on khan academy you don’t have to show your work!

3 0
3 years ago
Suppose you have 100 ft of string to rope off a rectangular section for a bake sale at a school Fair. The function A=x^2+50x giv
cupoosta [38]

Answer:

Therefore the width is 25 feet for getting maximum area.

The maximum area of the rectangle is 625 square feet.

Therefore the range is 0≤A≤625.

Step-by-step explanation:

Given function is

A = - x²+50x

We know that ,

If y = ax²+bx+c

For the maximum x=-\frac{b}{2a}

Here a = -1 , b= 50 and c=0

Therefore the width x= -\frac{50}{2.(-1)} = 25

Therefore the width is 25 feet for getting maximum area.

The maximum area =[ -(25)²+50.25] square feet

                                 = 625 square feet

The area can not be negative and maximum area is 625 square feet.

Therefore the range is 0≤A≤625.

5 0
3 years ago
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4vir4ik [10]

Answer:

Option A (3/4)

Step-by-step explanation:

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2 years ago
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