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Temka [501]
3 years ago
11

Two consecutive integers have a sum of 61 . Find the integers.

Mathematics
1 answer:
mel-nik [20]3 years ago
3 0

Answer:

The integers are, 30 and 31

Step-by-step explanation:

Given the statement: Two consecutive integers have a sum of 61 .

Let x and x+ 1 are the two consecutive integers.

then;

as per the given condition we have;

x +(x+1) = 61

Combine like terms;

2x+1 = 61

Subtract 1 from both sides ;

2x + 1-1 = 61 -1

Simplify:

2x = 60

Divide both sides by 2 we get;

x = 30

and

value of x+1 = 30+1 = 31

Therefore, the integers are, 30 and 31.

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Use the drawing tools to form the correct answers on the graph.
Julli [10]

Answer:

4, 2, 1, 2, 4

Step-by-step explanation:

-2 <= 0, so use the first equation, f(x) = (1/2)^x, to find f(-2).

f(-2) = (1/2)^-2 = 1^-2/2^-2 = 2^2/1^2 = 4/1 = 4

-1 <= 0, so use the first equation, f(x) = (1/2)^x, to find f(-1).

f(-1) = (1/2)^-1 = 1^-1/2^-1 = 2^1/1^1 = 2/1 = 2

0 <= 0, so use the first equation, f(x) = (1/2)^x, to find f(0).

f(0) = (1/2)^0 = 1^0/2^0 = 1/1 = 1

1 > 0, so use the second equation, f(x) = 2^x, to find f(1).

f(1) = 2^1 = 2

2 > 0, so use the second equation, f(x) = 2^x, to find f(2).

f(2) = 2^2 = 4

5 0
1 year ago
We need help finding the means of the sides of this figure.<br> (Photo attached)<br><br> Thank you
VikaD [51]

Answer:

3) 5

4) 8.2

5) 6.8

6)FG = 6.4

7) EF = 3.6

8)DF = 4.8

Step-by-step explanation:

From the attached triangle, using trigonometric ratio we can find ∠G as; tan^(-1) (6/8)

Thus, ∠G = 36.87°

Still using trigonometric ratios;

FG/8 = cos 36.87°

FG = 8 cos 36.87°

FG = 6.4

3) EF + FG = EG

Since EG is 10, mean of EF and FG = 10/2 = 5

4) mean of EG and FG = (10 + 6.4)/2 = 8.2

5) EF + FG = EG

Thus; EF = EG - FG

EF = 10 - 6.4

EF = 3.6

Mean of EG and EF = (10 + 3.6)/2 = 6.8

6) FG = 6.4

7) EF = 3.6

8) Using trigonometric ratio;

DF/8 = sin 36.87

DF = 8 × 0.6

DF = 4.8

8 0
2 years ago
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Marrrta [24]
5 3/20 = 5.15 <=====
6 0
3 years ago
Which does the P stand for in the surface area of prisms formula?
Sidana [21]

Answer:

A

Step-by-step explanation:

perimeter of the base...

7 0
3 years ago
Calculate the GPA of a student with the following grades: B (77 hours), D (66 hours), F (2020 hours). Note that an A is equivale
d1i1m1o1n [39]

Answer:

The student's GPA is of 0.82.

Step-by-step explanation:

GPA:

To find the student's GPA, we find his weighed mean.

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The student's GPA is of 0.82.

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3 years ago
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