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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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seropon [69]

Answer:

Second option

Third option

Fourth option

Step-by-step explanation:

We have the following quadratic function

f(x) =(x-1)(x+7)

Use the distributive property to multiply the expression

f(x) =x^2+7x-x-7

f(x) =x^2+6x-7

For a function of the form f (x) = ax ^ 2 + bx + c the x coordinate of the vertex is:

x =-\frac{b}{2a}

Then in this case the coordinate of the vertex is:

x =-\frac{6}{2(1)}

x =-3

To obtain the y coordinate of the vertex we evaluate the function at x = -3

f(-3) =(-3)^2+6(-3)-7

f(-3) =9-18-7

f(-3) =-16

Then the vertex is:  (-3, -16)

We can see in the graph that the zeros of the function are x=1 and x=-7

Then the function is decreasing from -∞ to -3 and then it is increasing from -3 to ∞

The function is positive for x and x> 1

The correct answers are:

Second option

Third option

Fourth option

7 0
3 years ago
Please help!!!! :)))))))
Tanzania [10]

Answer:

10 units

Step-by-step explanation:

1. Do the square in the middle

2 x 2 = 4

2. Do the triangle on the left

2 x 2 divided by 2 = 2

3. Do the triangle on the right

4 x 2 divided by 2 = 4

4. Add them all up

4 + 2 + 4 = 10

8 0
3 years ago
Read 2 more answers
Mega Movies hosted a film premiere on Friday night. They charged $9 for adults and $6 for children. One hundred twenty-seven adu
Oxana [17]

x = number of adult tickets

y = number of children tickets

9x + 6y = 1053

x+y = 127 so x = 127 - y

replace x = 127 - y into 9x + 6y = 1053

9(127 - y) + 6y = 1053

1143 -9y + 6y = 1053

-3y = 1053 -1143

-3y = -90

y = 30

x = 127 - 30

x = 97

answer: 97 adults and 30 children




3 0
3 years ago
Which property can you use to simplify (4+10)+(-10)
Anarel [89]

Answer:

Associative property of addition

Step-by-step explanation:

(4+10)+(-10)

We want to change the parentheses to

4 + ( 10 + -10)

We can use the Associative property of addition

( a+b) + c = a+ ( b+c)

6 0
3 years ago
Read 2 more answers
Could someone explain.This brainliest.
LekaFEV [45]

Mikayla-132\\\\Zack:\\one\ fourth\ as\ much\ candy\ as\ Mikayla\\\\\dfrac{1}{4}\cdot132=\dfrac{132}{4}=33\\\\Kim:\\three\ times\ as\ much\ candy\ as\ Zack\\\\3\cdot33=99\\\\Answer:\ 132+33+99=264\ pieces

4 0
3 years ago
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