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maksim [4K]
3 years ago
12

The sum of three consecutive integers is -78. determine the smallest integer.

Mathematics
1 answer:
sweet [91]3 years ago
4 0
Lets x is the 1st consecutive even integers
      x +2 :the 2nd consecutive even integers
      x +4: the 3rd consecutive even integers

So sum of all 3 equals -78 then
x + (x+2) + (x+4) = -78
x + x + 2 + x + 4 = -78
Simplify
3x + 6 = -78
Subtract (-6) to both sides
3x +6 -6 = -78 - 6
Simplify
3x = -84
Divided both sides by 3
3x/3 = -84/3

x = -28
x + 2 =  -28 + 2 = -26
x +4 = - 28 + 4 = -24

Double check: -28 + -26 + -24 = -78

So the three consecutive even integers are: -24, -26, -28

The smallest integer would be -28
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In January Jennifer was allowed to use 150 text messages. If she is allowed to use the same amount of text messages every month.
Firlakuza [10]

She would have used 1200 messages in all by the month of August.

Step-by-step explanation:

Messages allowed per month = 150

There will be 8 months starting from January to August, therefore,

Time period = 8 months

Messages in 8 months = Messages per month * Time period

Messages\ in\ 8\ months=150*8\\Messages\ in\ 8\ months=1200

She would have used 1200 messages in all by the month of August.

Keywords: Multiplication

Learn more about multiplication at:

  • brainly.com/question/629998
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#LearnwithBrainly

6 0
3 years ago
A square dance floor has a perimeter of 120 yards. What is the length of a diagonal of the dance floor?
Crazy boy [7]

Answer:

Hey!

Your answer is C.42.4yd

Step-by-step explanation:

There are 2 ways you can work this on out...

1. Using Pythagoras Theorem...

= 30^2 + 30^2 = 1,800 (30^2=900 so you've added 2 of those to make 1,800)

= SQUARE ROOT THE ANSWER OF 1,800

\sqrt{x} 1,800= 42.42640687119285‬

TO GET A MORE PRECISE ANSWER WE ROUND IT UP TO 1 decimal place

= 42.4 yd is the diagonal length of the dance floor!!

HOPE THIS HELPS!!

6 0
3 years ago
Write a division equation with a answer of 42,What is one I could write???
mrs_skeptik [129]
You could say 84/2, 126/3, or even 168/4
4 0
3 years ago
Is the function described by the points in this table linear or nonlinear?
Flauer [41]

Answer:

nonlinear

Step-by-step explanation:

6 0
2 years ago
A middle school has the fifth and sixth grades. There are 100 fifth-grade boys and 110 fifth-grade girls. There are 7 fewer sixt
Mama L [17]

The ratio of girls to boys in the middle school = 213 : 193

Number of fifth-grade boys = 100

Number of fifth grade girls = 110

There are 7 fewer sixth-grade boys than fifth-grade boys

Number of sixth-grade boys = 100 - 7

Number of sixth-grade boys = 93

There are 10 more sixth-grade girls than sixth-grade boys

Number of sixth-grade girls = 93 + 10

Number of sixth-grade girls = 103

Total number of girls = Number of sixth-grade girls + Number of fifth-grade girls

Total number of girls = `103 + 110

Total number of girls = 213

Total number of boys = Number of sixth-grade boys + Number of fifth-grade boys

Total number of boys = `93 + 100

Total number of boys = 193

The ratio of girls to boys in the middle school = 213 : 193

Learn more on ratio here: brainly.com/question/25927869

4 0
2 years ago
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