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2 years ago

Twice the sum of a number and 3 is the same as 5 subtracted from the number. find the number.

1 answer:

3 0

Translating this sentence into symbols: 2(x+3) = x - 5

So 2x + 6 = x - 5 and x = -11

Check: Is 2(-11+3) = -11 -5? Is -16 = -16? YES. x =-11 is right.

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The sum of two consecutive integers is 345. What are the integers? need help with it

horrorfan [7]

Answer:

hi there ☺️

Here we will use algebra to find three consecutive integers whose sum is 345. We start by assigning X to the first integer. Since they are consecutive, it means that the 2nd number will be X + 1 and the 3rd number will be X + 2 and they should all add up to 345. Therefore, you can write the equation as follows:

(X) + (X + 1) + (X + 2) = 345

To solve for X, you first add the integers together and the X variables together. Then you subtract three from each side, followed by dividing by 3 on each side. Here is the work to show our math:

X + X + 1 + X + 2 = 345

3X + 3 = 345

3X + 3 - 3 = 345 - 3

3X = 342

3X/3 = 342/3

X = 114

Which means that the first number is 114, the second number is 114 + 1 and the third number is 114 + 2. Therefore, three consecutive integers that add up to 345 are 114, 115, and 116.

114 + 115 + 116 = 345

We know our answer is correct because 114 + 115 + 116 equals 345 as displayed above.

Step-by-step explanation:

pls rate me the brainiest

3 0

2 years ago

H over 3 plus 16 equals 18

3241004551 [841]

Answer:

If you're looking for H it could be 6

Step-by-step explanation:

bc 6/3+16=18 so 6/3=2 so 2+16=18

3 0

2 years ago

Read 2 more answers

Please help explain the steps

Gennadij [26K]

Step-by-step explanation:

3a^2+24a+45=0

×3/3( first ×3)

9a^2+24(3a)+135=0

(3a+15)(3a+9)=0

now /3

3(a+5)(a+3)

a=-5✓

a=-3✓

3 0

2 years ago

Calculate the axis of symmetry in the equation Y = (x+1) (x-4)

algol [13]

Answer:

Every parabola has a turning point called the axis of symmetry,so for this question you just have to find the turning points

x turning point= -b/2a,and the y turning point is gotten by replacing the value of x in the equation

y=(x+1)(x-4)

=x^2-3x-4

a is 1,b is -3 and c is -4

x= -(-3)/2(1)

=1.5

and y=x^2-3x-4

=1.5^2-3(1.5)-4

= -6.25

therefore the axis of symmetry is (1.5,-6.25)

I hope this helps

6 0

2 years ago

4(4-w)=3(2w+2) find w

Travka [436]

Answer:

Step-by-step explanation:

4(4-w) = 3(2w+2)

Use distributive property:

16 - 4w = 6w + 6

+4w +4w

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

16 = 10w + 6

-6 -6

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

10 = 10w

---- -----

10 10

1 = w

Hope this helped.

7 0

3 years ago

Read 2 more answers