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arsen [322]
3 years ago
13

The sum of two consecutive integers is -92. Find the integers.

Mathematics
2 answers:
Levart [38]3 years ago
7 0

Answer:

x = -46.5

x + 1 = -45.5

Step-by-step explanation:

x + x + 1 = -92

2x + 1 = -92

      -1       -1

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

   2x = -93

   ----     ----

    2        2

   x = -46.5

x + 1

(-46.5) + 1

-45.5

Setler79 [48]3 years ago
5 0

Answer:

No solution

Step-by-step explanation:

We can set up an equation where x is the integer and x+1 is the next one

x+x+1=-92

2x+1=-92

2x/2=-93/2

x=-46.5

-46.5+1=-45.5

The problem is that integers do no include decimals so there is no possible whole number. This problem would be possible if it was consecutive odd integers.

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Question 5 (1 point)
bearhunter [10]

Answer:

T(x)=84-2x

Step-by-step explanation:

Linear Modeling

The initial temperature outside is 84 degrees.

We are told the temperature drops 2 degrees every hour.

Let's call x to the number of hours elapsed. After x hours, the temperature would have dropped by 2x degrees, since it's a rate of 2 degrees per hour.

That drop is subtracted from the initial temperature to produce the linear model as follows:

\mathbf{T(x)=84-2x}

This is the linear equation that represents the described situation.

5 0
3 years ago
In ΔEFG, f = 42 inches, e = 39 inches and ∠E=43°. Find all possible values of ∠F, to the nearest degree.\
zavuch27 [327]

Answer:

The angle F = 47.25°

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given that f =42inches  and  e = 39 inches

Given that ∠E = 43°

By using sine rule

                 \frac{a}{sinA} = \frac{b}{sinB} = \frac{C}{sinC}  = 2R

                \frac{e}{sinE} = \frac{f}{sinF}

 ⇒          \frac{39}{sin43} = \frac{42}{sinF}

  Cross multiplication , we get

⇒       39 sin F = 42 × sin 43°

             sin F = \frac{42 X 0.68199}{39}

⇒           sin F = 0.734459

<u><em>Step(ii):-</em></u>

⇒       sin⁻¹ (sin F)= sin ⁻¹ ( 0.734459)

⇒            F = 47.25

The angle F = 47.25°

7 0
3 years ago
The balcony of an apartment is 4 feet by 7 feet. On a scale drawing of the apartment, the balcony is 0.8 inch by 1.4 inches, and
ratelena [41]
First you must find the scale.
Divide 4 by 0.8.
You get 5.
Divide 7 by 1.4.
That also gives you 5.
This means the scale drawing is 5 times smaller than the real dimensions.

On the scale drawing, the kitchen is 2.4 by 2.8 inches.
All you have to do is multiply both of these by 5 and change it to feet.
2.4 x 5 = 12
2.8 x 5 = 14
So the dimensions of the kitchen are 12 feet by 14 feet.
5 0
3 years ago
Find the area of the shaded region.
Maksim231197 [3]

Answer:

Step-by-step explanation:

First do 9 times 9 times 9

3 0
4 years ago
Read 2 more answers
Solving With Substitution (FOR 10 POINTS!):<br> y= 2x + 1<br> 3x + y = -9
Katen [24]

Answer:

y = 2x + 1 \\ 3x + y =  \:  - 9 \\  \\ 3x + 2x + 1 =  - 9 \\ 5x =  - 10 \\ x =  - 2 \\  \\ y = 2( - 2) + 1 \\ y =  - 3 \\ ( - 2 \: and \:  - 3)

8 0
3 years ago
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