1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
joja [24]
3 years ago
11

If the first of three consecutive integers is subtracted from 138, the result is the sum of the second and third. What are the i

ntegers?
Mathematics
1 answer:
otez555 [7]3 years ago
8 0

Answer:

First Integer = n = 45

Second Integer = n+1 = 45 + 1 = 46

And Third Integer = n+ 2 = 45 +2 = 47

Step-by-step explanation:

Let First integer = n

Second Integer = n+1

Third Integer = n+2

According to the question given (If the first of three consecutive integers is subtracted from 138, the result is the sum of the second and third) the equation will be:

138 - n = (n+1) + (n+2)

Solving the equation:

138 - n = n+1+n+2

138 - n = 2n+3

138 - 3 =2n +n

135 = 3n

135/3 = n

=> n= 45

So, First Integer = n = 45

Second Integer = n+1 = 45 + 1 = 46

And Third Integer = n+ 2 = 45 +2 = 47

You might be interested in
Which of the following is equivalent to the expression below?
Ludmilka [50]
= x(8 -8) +(10 +13)
= 0 +23
= 23

Selection D is appropriate.
8 0
3 years ago
Please asap<br>for 10 points!​
kari74 [83]
<h3>Given:</h3><h3>Large cone:</h3>
  • r= 8 cm
  • h= 20 cm
<h3>Small cone:</h3>
  • r= 4 cm
  • h= 10cm
<h3>Note that:</h3>
  • r: radius
  • h: height
<h3>To find:</h3>
  • The volume of the frustum of the given cone.
<h3>Solution:</h3>
  • Frustum is a part of a cone formed by cutting off the top by a parallel plane.

\large\boxed{Formula: V= \frac{1}{3}\pi{r}^{2}h}

Let's solve!

First, let's find the volume of the smaller cone.

Substitute the values according to the

formula.

V= \frac{1}{3}×\pi×{4}^{2}×10

V= 167.5516082 \: {cm}^{3}

Now, we can round off to the nearest hundredth.

The value in the thousandths place is smaller than 5 so we won't have to round up.

\boxed{V= 167.55 \: {cm}^{3}}

Next, let's find the volume of the bigger cone.

Substitute the values according to the formula.

V= \frac{1}{3}×\pi×{8}^{2}×20

V= 1340.412866 \: {cm}^{3}

Now, we can round off to the nearest hundredth.

The value in thousandths place is smaller than 5 so we won't have to round up.

\boxed{V=1340.41 \: {cm}^{3}}

Now, we can find the volume of the frustum.

We'll have to minus the volume of the smaller cone from the bigger cone.

V= 1340.41-167.55

\large\boxed{V= 1172.86 \: {cm}^{3}}

<u>Hence, the volume of the frustum is 1172.86 cubic centimeters.</u>



8 0
2 years ago
What is the value of x if <br> 4x - 9 = 11?<br> A. 1/2<br> B.2<br> C.5<br> D.20
Maru [420]

Answer:

C

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
If triangle ABC is reflected over the y‐axis, reflected over the x‐axis, and rotated 180 degrees, where will point A' lie?
Ronch [10]

Given that ABC is a triangle and is reflected over the y - axis, reflected over the x - axis and rotated 180°

We need to determine the coordinates of the point A'

<u>Reflection over the y - axis:</u>

The coordinates of the point A is (-2,1)

The transformation rule to reflect across the y - axis is (x,y)\rightarrow (-x,y)

Substituting the point (-2,1) in the rule, we get;

(-2,1)\rightarrow (2,1)

Thus, the coordinates of the point A after reflection over the y - axis is (2,1)

<u>Reflection over the x - axis:</u>

The transformation rule to reflect across the x - axis is (x,y)\rightarrow (x,-y)

Substituting the point (2,1) in the rule, we get;

(2,1)\rightarrow (2,-1)

Thus, the coordinates of the point A after reflection over the x - axis is (2,-1)

<u>Rotation about 180°:</u>

The transformation rule to rotate about 180° is (x,y)\rightarrow (-x,-y)

Substituting the point (2,-1) in the rule, we get;

(2,-1)\rightarrow (-2,1)

Thus, the coordinates of the point A after the rotation about 180° is (-2,1)

Therefore, the coordinates of the point A' is (-2,1)

Hence, Option B is the correct answer.

7 0
3 years ago
Z^2-16z=-17 what is the solution?​
lys-0071 [83]

Answer:

There are 2 answers,

 z =(16-√188)/2=8-√ 47 = 1.144

 z =(16+√188)/2=8+√ 47 = 14.856

3 0
3 years ago
Read 2 more answers
Other questions:
  • Find the quotient of 5/31 divided by 15/23. Reduce your answer to the lowest fraction.
    14·2 answers
  • What is the GCF of 8 and 24?
    8·2 answers
  • lisha is making headbands using ribbon. she would like to make 12 head bands. Each one requires 15.5 inches of ribbon. She estim
    14·2 answers
  • How do you do this if you don’t know please don’t give that answer to me because this is a grade
    14·1 answer
  • Mark's soup recipe makes 6 servings and uses 4 carrots and 2 potatoes. How many carrots and how many potatoes?
    5·1 answer
  • Click on the measure of angle x.<br> х<br> 38°<br> » 152<br> 1)) 142°<br> () 38°<br> )) 52°
    14·1 answer
  • Find the measure of ∠ 7.<br><br> Given:<br> ∠1 is a right angle<br> ∠3 = 37°<br> ∠8 = 62°
    14·1 answer
  • (e^x - e^-x)/(2) = 5
    13·1 answer
  • I need help with number 2!! please help!
    11·1 answer
  • Please help ASAP!!!!
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!