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My name is Ann [436]
4 years ago
5

The sum of four consecutive odd integers is –72. Write an equation to model this situation, and find the values of the four inte

gers. n + n + 2 + n + 4 + n + 6 = –72; n = –21; n + 2 = –19; n + 4 = –17; n + 6 = –15 n + n + 2 + n + 4 + n + 6 = –72; n = –21; n + 2 = –23; n + 4 = –25; n + 6 = –27 n – (n + 2) – (n + 4) – (n + 6) = –72; n = –20; n + 2 = –18; n + 4 = –16; n + 6 = –14 n + (n – 2) + (n – 4) + (n – 6) = –72; n = – 21; n – 2 = –23; n – 4 = –25; n – 6 = – 27
Mathematics
1 answer:
emmainna [20.7K]4 years ago
7 0

n + n + 2 + n + 4 + n + 6 = –72

4n +12 = -72

subtract 12 from each side


4n = -84

divide by 4

n = -21

Answer: -21,-19,-17,-15

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Answer:

2 hrs, 24 min

Step-by-step explanation:

Sally:  in one hour, she can paint 1/4 of the room.

Joe: in one our, he can paint 1/6 of the room

Hour one: 1/4+1/6=3/12+2/12=5/12

1÷5/12=1*12/5=12/5

12/5= 2 & 2/5 hours, or 2.4 hours, or 2 hrs 24 minutes

6 0
3 years ago
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Ill give you easy points. 2x+3=12
Sliva [168]
X=9/2

Thank youu , 12-3 equals 9, then divide 2 and the answer is 9/2
8 0
4 years ago
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There are 7 ushers and 11 technicians helping at the Harper Middle School fall play.
bearhunter [10]

Answer:

<h3>The ratio of technicians to all helpers  is 11 : 7, or \frac{11}{7} or 11 to 7.</h3>

Step-by-step explanation:

  • Given that there are 7 ushers and 11 technicians helping at the Harper Middle School fall play.
  • Let x be the number of ushers ( or helpers ).
  • Therefore x=7 helpers.
  • Let y be the number of technicians.
  • Therefore y=11 technicians.
<h3>To find the ratio of technicians to all helpers :</h3>

That is to find the ratio of y to x.

We can write the ratio of technicians to all ushers(helpers) as y : x

Which implies that 11 : 7,  (since y=11 and x=7)

Or \frac{11}{7} or 11 to 7

<h3>The ratio of technicians to all helpers  is 11 : 7, or \frac{11}{7} or 11 to 7</h3>
4 0
4 years ago
Lois made a dish with 4 1/3 of pasta. One serving of the pasta is 0.2 cups. How many servings of pasta were in the dish Lois mad
Kipish [7]

Answer:

21.67.

Step-by-step explanation:

Here is the correct question: Lois made a dish with 4 1/3 cups of pasta. One serving of the pasta is 0.2 cups. How many servings of pasta were in the dish Lois made?

Given: Lois made dish with 4\frac{1}{3}

           One serving of pasta= 0.2 cups

Now, using unitary method to find total number of servings of pasta were in the dish Lois made.

First, lets convert 4 \frac{1}{3} into decimal

\frac{4\times 3 +1}{3} = \frac{13}{3}= 4.33 cups

∴ Lois made a dish with 4.33 cups of pasta.

We know, One serving of pasta= 0.2 cups

∴ Total serving in 4.33 cups of pasta= \frac{4.33}{0.2}= 21.6666 \approx 21.67

∴ 21.67 serving is possible in 4\frac{1}{3} \ cups of pasta.

8 0
4 years ago
Bill and Sally Kaplan have an annual spending plan that amounts to $39,500. If inflation is 3 percent a year for the next three
meriva

Answer:

$41,162.71

Step-by-step explanation:

We have the formula to find out the future value of an amount:

FV = PV (1+ r)^{n when:

- PV is the present value

- r : interest rate or inflation rate

- n is the duration

So that, we substitute PV = $39,500, inflation rate = 3% and duration = 3 into the above fomula, we have:

FV = 39,500x(1+ 0.03)^{3} = 41,162.71  is the amount  Kaplans need for their living expenses three years from now

Hope this answer will find you well

3 0
3 years ago
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