All categories

2 years ago

The sum of 4 consecutive integers is 122. What is the third number in this sequence?

Mathematics

1 answer:

kompoz [17]2 years ago

4 0

Answer:

Step-by-step explanation:

Let the smallest integer be x.

Since the 4 integers are consecutive (they come right after the other),

2nd integer= x +1

3rd integer= x +1 +1= x +2

4th integer= x +2 +1= x +3

Sum of the integers= 122

x +x +1 +x +2 +x +3= 122

4x +6= 122

4x= 122 -6

4x= 116

x= 116 ÷4

x= 29

3rd number

= 29 +2

= 31

You might be interested in

The dashed-line triangle is a dilation image of the solid-lined triangle.

Gre4nikov [31]

Refer to the edited figure.

Triangles ABC and A'B'C' are similar because of AAA.
Also,
$\frac{AB}{A'B'}= \frac{15}{5}=3 \\\\ \frac{AC}{A'C'}= \frac{12}{4}=3$

Therefore
ΔA'B'C' is 1/3 the size of ΔABC.
This means that the scale factor from ΔABC to ΔA'B'C' is a 3-factor reduction.

Answer: reduction; one-third.
The dilation is a reduction.
The scale factor of the dilation is one-third.

8 0

3 years ago

Answers or correcting?

Ber [7]

Answer:

Good.

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

. If y varies directly with x, and y = -35 and x=7, what is x when y = -85?

sertanlavr [38]

Answer:

x = 17

Step-by-step explanation:

Direct variation is given by

y = kx where k is the constant of variation

-35 = k*7

-35/7 = k

-5 = k

y = -5x

We know y = -85

-85 = -5x

Divide each side by -5

-85/-5 = x

17 =x

3 0

3 years ago

Lenny’s favorite radio station has this schedule:

kirill [66]

Answer: choice C) 19/60

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

Explanation:

Add up the minute values: 19+4+37 = 60

We have a total of 60 minutes. Of that total, 19 minutes is dedicated to news.

Divide the two values (19 and 60) to get the fraction 19/60. We can't reduce from here so we leave it like that.

4 0

3 years ago

What is the measure of x?

Pavlova-9 [17]

We know angle BAD= CBA so we can do:
42+105 + x = 180
x = 180-105-42
x=33

Hope this helps!! :)

8 0

2 years ago