Mathematics Middle School

find three consecutive integers for which 3 times the sum of the first and third integers is -342? show step by step

Answers

Answer 1

Answer:

-58, -57, -56

Step-by-step explanation:

if the first integer is x,

the second integer must be x + 1 (because it's consecutive)

and the third must be x + 2

Therefore:

3 times the sum of the first and third integers is -342:

3 * (x + (x+2) ) = -342

Combine like terms in parentheses

3 * (2x + 2) = -342

Distribute the 3 to the 2x and the 2:

6x + 6 = -342

Subtract 6 on both sides

6x = -348

Divide by 6 on both sides

x = -58

x + 1 = -57

x + 2 = -56

-58, -57, -56

Check:

3 * (-58 + -56) = 3 * -114 = -342

Answer 2

I hope this can help you

Find Three Consecutive Integers For Which 3 Times The Sum Of The First And Third Integers Is -342? Show

Related Questions

pleasee helppp 15 pointss pleaseee

Answers

Let,
The first triangle with sides 7 and 3.5 be ΔABC
The second triangle with sides 3 and x be ΔCDE

ΔABC ≅ ΔCDE (they are congruent) as:
1) They have a common point C
2) ∠ABC = ∠CDE = 90° (given)

Hence we can say,

AC/CE = BC/CD

= 7/x = 3.5/3

Therefore,
x = (7*3)/3.5
= 21/3.5
= 6
Easyyy

6 is the answer for your question

Please help! Greatly appreciated

Answers

Answer:

Struggles of our Life

Once upon a time, a daughter complained to her father that her life was miserable and that she didn’t know how she was going to make it. She was tired of fighting and struggling all the time. It seemed just as one problem was solved, another one soon followed. Her father, a chef, took her to the kitchen. He filled three pots with water and placed each on a high fire.

Once the three pots began to boil, he placed potatoes in one pot, eggs in the second pot and ground coffee beans in the third pot. He then let them sit and boil, without saying a word to his daughter. The daughter moaned and impatiently waited, wondering what he was doing. After twenty minutes he turned off the burners. He took the potatoes out of the pot and placed them in a bowl. He pulled the eggs out and placed them in a bowl. He then ladled the coffee out and placed it in a cup.

Turning to her, he asked. “Daughter, what do you see?” “Potatoes, eggs and coffee,” she hastily replied.

“Look closer”, he said, “and touch the potatoes.” She did and noted that they were soft.

He then asked her to take an egg and break it. After pulling off the shell, she observed the hard-boiled egg.

Finally, he asked her to sip the coffee. Its rich aroma brought a smile to her face.

“Father, what does this mean?” she asked.

He then explained that the potatoes, the eggs and coffee beans had each faced the same adversity-the boiling water. However, each one reacted differently. The potato went in strong, hard and unrelenting, but in boiling water, it became soft and weak. The egg was fragile, with the thin outer shell protecting its liquid interior until it was put in the boiling water. Then the inside of the egg became hard. However, the ground coffee beans were unique. After they were exposed to the boiling water, they changed the water and created something new.

“Which one are you?” he asked his daughter. “When adversity knocks on your door, how do you respond? Are you a potato, an egg, or a coffee bean?”

Moral: In life, things happen around us, things happen to us, but the only thing that truly matters is how you choose to react to it and what you make out of it. Life is all about leaning, adopting and converting all the struggles that we experience into something positive.

Answers

$11.50 is your answer
7.75 (pizza) + 3.75 (toppings)

11.50 is your answer

HELP!!! pre-algebra is the worst i need help with this ASAP! please!

Answers

The picture is showing up grey for me, try to re upload, and comment back and I can see what I can do.

yea the picture is grey try re uploading it again

Can someone help me on this chart? the expressions for the perimeter of the rectangle is (4x2)+(2x2) =12
and for the octagon the perimeter is 1.5x8 = 12

please help?

Answers

Answer: (- _-)

Step-by-step explanation:

Who I have Ladybug and you have marinate, I don’t even think I spelled it right.

;-;
But good- Luck on- That problem

:)))

a never ending decimal is which type of number?

a. Rational
b. irrational
c. none of these

Answers

Answer:

B: Irrational

Step-by-step explanation:

I did this test to i promise its right.

irrational. if it were rational it would end :)

4 + 6 x 2 = 4 + 12
True or False

Answers

wrong 4+6x2=16 This is right answer

Answer:

True

Step-by-step explanation:

Bodmas you start with the multiplication before adding the 4 so its 6×12=12+4 which is equal to the right hand side

Please help I am very behind on my math

Answers

Answer

20/3

Step-by-step explanation:

100/15

20/3

6.666667

Answer:

20/3

Step-by-step explanation:

I think this is right

Identify the graph of the following equation.

y ≥ −1

Answers

Answer:

It's the 5th graph

Step-by-step explanation:

The answer is E or 5 graph. If you look closely you can see that the shaded area stopped at -1 and it is on the y axis. Hopefully, I helped.

I WILL MARK AS BRAINLIEST! Write an equation that represents the points on the table

Answers

Step-by-step explanation:

y = ax +b

2 = 0a+ b => b = 2

4 = -2a + b

4 = -2a +2

2a = 2-4

2a = -2

a = -1

so, y = -x + 2

Mom is that u like duh idc if it is or not

Find the number that makes the ratio equivalent to 11:4.
44:

Answers

Answer:

Step-by-step explanation:

11:4

44;x

11x4=44

4x4=16

Answer:

44:16

Step-by-step explanation:

11:4

44:x

44/11=4

4x4=16

11:4

44:16

2 x -7/4. Please help me ASAP

Answers

Answer is -7/2

I hope this kinda helped

The answer is -7/2 hope this helpppsssss

When this 3-digit number is rounded to the nearest ten, the sum of its digits is 16. The hundreds digit of this number is 8 and the ones digit is 5. What is the number?

Answers

Answer:

835

Step-by-step explanation:

We know that the hundreds is 8 and the ones is 5 so the sum needed is 16-(8+5), which equals 3 :)

835 is your answer…….

at the mall, myna bought a shirt for 25.36, a hat for 5.09 and a belt for 11.45. how much did she spend altogether?

Answers

Answer:

41.90

Step-by-step explanation:

25.36 + 5.09 + 11.45 = 41.90

Answer:

25.36+5.09+11.45= 41.9

Step-by-step explanation:

Are the ratios 1:3 and 4:5 equivalent?
yes or no

Answers

Answer:

No, they are not.

Remember, a ratio can be written as a fraction. So 1:3 is the same as 1/3 and 4:5 is the same as 4/5.

1/3 = 0.33

4/5 = 0.8

As you can see the both don't equal the same numbers, so they aren't equivalent.

Nope 3 does not go into 5

ANSWER FAST
2(7x + 4y = 14x +

Answers

Answer:

Step-by-step explanation:

2(7x+4y)=14x

14x+8y+−14x=14x+−14x

8y=0

8y+−8y=0+−8y
0= -8y
0/0=-8y/0

Answer : -8/0

Please answer them all.

Answers

ans : 17

if uh need step by step explanation also then uh can cmt me.

First ones answer I’ll send other quickly wait for some minutes

Pls help me with this i will give brainly to first answer!!!!!

Answers

Answer:

13 is it's answer......

Answer:

= 4

= 8

= 1

Step-by-step explanation:

• • = 64

= 4 because when 4 is being multiplied by itself 3 times, it equals 64

Now we know the value of so lets move on to the next question

+ + = 20

4 + + = 20

+ = 16

= 8

+ + = 12

8 + + = 12

+ = 4

= 1

+ + = ??

1 + 8 + 4 = ??

13 = ??

Select all ratios equivalent to 6:5.

Answers

All ratios can be written as fractions:
6:5 is the same as 6/5

Which of the fractions are the same as 6/5?

9/15 (from 9;15)
4/1 (from 4:1)
24/20. (from 24:20)

The only one is 24:20.

Answer:

The 3rd one only

Step-by-step explanation:

6:5 x 4 = 24:20

Find the unit rate.
70 rooms on 5 floors
rooms per floor

Answers

Hi ;-)

70 rooms on 5 floors = 14 rooms per floor

70 : 5 = 14

Answer:

14 rooms per floor

Step-by-step explanation:

70 rooms on 5 floors

70/5=14 rooms per floor

Point N is on line segment MO. Given NO=2x−3, MO=3x+5, and MN=2x+3, determine the numerical length of MO.

Answers

Answer:-19

Step-by-step explanation:

3x+5-(2x-3)=0

3x+5-2x+3=0

x+8=0

x=-8

substitute x into 3x+5 to find the length of MO

3x+5

3(-8)+5

-24+5

-19

The answer is 19 I believe

The sum of three times a number, x, and 12

Answers

The sum of three times a number, x, and 12
3x+12

3 • x + 12. This is the answer to your problem.

Change the following mixed expressions to fractions and then simplify the complex fractions.

Answers

Answer:

[tex]\frac{3(a-7)}{4x(a-4)}[/tex]

Step-by-step explanation:

One is given the following expression:

[tex]\frac{2a^2-9a-35}{12x^3}*\frac{9x^2}{2a^2-3a-20}[/tex]

The most logical first step to solve this equation is to factor it. Rewrite each quadratic equation as the product of two linear equations. Unfortunately, no additional explanation can be provided. To prove that the product of the two linear terms are the factors of the quadratic term, one must distribute and simplify,

[tex]\frac{2a^2-9a-35}{12x^3}*\frac{9x^2}{2a^2-3a-20}[/tex]

[tex]\frac{(2a+5)(a-7)}{12x^3}*\frac{9x^2}{(2a+5)(a-4)}[/tex]

Now simplify this expression, then cancel common terms in the numerator and denominator,

[tex]\frac{(2a+5)(a-7)}{12x^3}*\frac{9x^2}{(2a+5)(a-4)}[/tex]

[tex]\frac{9x^2(2a+5)(a-7)}{12x^3(2a+5)(a-4)}[/tex]

[tex]\frac{3(a-7)}{4x(a-4)}[/tex]

I believe the answer would be
3(9-7)
4x(a=4)

I WILL MARK AS BRAINLIEST! Simplify

Answers

Step-by-step explanation:

Absolute value is a number is the positive value of it.

[tex] | - 29 - 13| = | - 36| = 36[/tex]

[tex] |39 - 62| = | - 23| = 23[/tex]

[tex] | - 59 - 41| = | - 100| = 100[/tex]

[tex] | - 26 + 71| = |45| = 45[/tex]

A 36, b 23, c 100, d 25.

Help me on dis please

Answers

Answer:

3 * 10^-3

Step-by-step explanation:

It is to the negative third power because the decimal needs to move in front of the 3.

Answer:

3x10-³

Step-by-step explanation:

3 time 10 to the negative 3 power

I WILL MARK AS BRAINLIEST! Simplify

Answers

Answer:

a) -42

b) -23

c) -100

d) 45

Answer:

a) | -29 - 13 | = 42

b) | 39 - 62 | = 23

c) | -59 - 41 | = 100

d) | -26 + 71 | = 45

Remember, absolute value refers to a number's distance from zero on the number line, without taking direction into account. A number's absolute value can never be negative.

Hope this helped! :)

can someone please help me with number 6?

Answers

Answer:

Pretty sure he should have lined the numbers up at the decimal, sorry if I get this wrong I'm not too familiar with this method lol

Hi
I believe it would be the first option because the equation should have been written as ( picture given)

I WILL MARK AS BRAINLIEST! Graph each coordinate pair on the graph and then indicate which quadrant or axis the point lies on.

Answers

Step-by-step explanation:

Quadrant I: None

Quadrant II: (-4, 2), (-1, 4)

Quadrant III: (-2, -4), (-3, -6), (-4, -5)

Quadrant IV: (1, -1), (2, -7)

Lying on x-axis:（3, 0)

-2 -4 is the 3rd quadrant
-3 -6 is the 3rd quadrant
-4 2 is the 2nd quadrant
-1 4 is the 2nd quadrant
3 0 is the 1st quadrant
1 -1 is the 4th quadrant
2 -7 is the 2nd quadrant
-4 -5 is the 3rd quadrant

Which expression is equivalent to 38 + 81?

Answers

Answer:

9(4+9)

step by step

4+9=13

now,

9*13=117

Answer is 9(4+9)

4+9=13

Help me wit dis come on

Answers

Answer:

3x10^-3

Step-by-step explanation:

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