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
Elenna [48]
3 years ago
5

The sum of three consecutive odd integers is 87. Which equation could you use to find the three

Mathematics
1 answer:
Alexandra [31]3 years ago
7 0

Answer:

k+(k+2)+(k+4)=87

The largest integer is 31.

Step-by-step explanation:

Hi there!

Let <em>k</em> be equal to the smallest of the integers.

Let (<em>k</em>+2) be the next odd integer.

Let (<em>k</em>+4) be the final odd integer.

We're given that the sum of these three integers is 87. Construct an equation:

k+(k+2)+(k+4)=87

Combine like terms:

k+k+2+k+4=87\\3k+6=87\\3k=81\\k=27

Therefore, the smallest integer is 27. Because the largest integer is k+4, the largest integer is therefore 31.

I hope this helps!

You might be interested in
Find the arc length of the given curve between the specified points. x = y^4/16 + 1/2y^2 from (9/16), 1) to (9/8, 2).
lutik1710 [3]

Answer:

The arc length is \dfrac{21}{16}

Step-by-step explanation:

Given that,

The given curve between the specified points is

x=\dfrac{y^4}{16}+\dfrac{1}{2y^2}

The points from (\dfrac{9}{16},1) to (\dfrac{9}{8},2)

We need to calculate the value of \dfrac{dx}{dy}

Using given equation

x=\dfrac{y^4}{16}+\dfrac{1}{2y^2}

On differentiating w.r.to y

\dfrac{dx}{dy}=\dfrac{d}{dy}(\dfrac{y^2}{16}+\dfrac{1}{2y^2})

\dfrac{dx}{dy}=\dfrac{1}{16}\dfrac{d}{dy}(y^4)+\dfrac{1}{2}\dfrac{d}{dy}(y^{-2})

\dfrac{dx}{dy}=\dfrac{1}{16}(4y^{3})+\dfrac{1}{2}(-2y^{-3})

\dfrac{dx}{dy}=\dfrac{y^3}{4}-y^{-3}

We need to calculate the arc length

Using formula of arc length

L=\int_{a}^{b}{\sqrt{1+(\dfrac{dx}{dy})^2}dy}

Put the value into the formula

L=\int_{1}^{2}{\sqrt{1+(\dfrac{y^3}{4}-y^{-3})^2}dy}

L=\int_{1}^{2}{\sqrt{1+(\dfrac{y^3}{4})^2+(y^{-3})^2-2\times\dfrac{y^3}{4}\times y^{-3}}dy}

L=\int_{1}^{2}{\sqrt{1+(\dfrac{y^3}{4})^2+(y^{-3})^2-\dfrac{1}{2}}dy}

L=\int_{1}^{2}{\sqrt{(\dfrac{y^3}{4})^2+(y^{-3})^2+\dfrac{1}{2}}dy}

L=\int_{1}^{2}{\sqrt{(\dfrac{y^3}{4}+y^{-3})^2}dy}

L= \int_{1}^{2}{(\dfrac{y^3}{4}+y^{-3})dy}

L=(\dfrac{y^{3+1}}{4\times4}+\dfrac{y^{-3+1}}{-3+1})_{1}^{2}

L=(\dfrac{y^4}{16}+\dfrac{y^{-2}}{-2})_{1}^{2}

Put the limits

L=(\dfrac{2^4}{16}+\dfrac{2^{-2}}{-2}-\dfrac{1^4}{16}-\dfrac{(1)^{-2}}{-2})

L=\dfrac{21}{16}

Hence, The arc length is \dfrac{21}{16}

6 0
3 years ago
A little help? we're supposed to find x on these triangles and i'm a little stumped on this
hjlf

Answer:

147

Step-by-step explanation:

The other two options would be more closed and since this angle is open, it is the larger one.

3 0
3 years ago
Solve the equation for x, and enter your answer in the box below.<br> 4x = 40
LenKa [72]
10x would be the answer
7 0
3 years ago
Read 2 more answers
a movie theater has 24 screens. The ratio of action films to other films currently showing on all of the screens 1:2. How many a
Rom4ik [11]

Answer:

2

Step-by-step explanation:

sing puga puga puli murga

3 0
4 years ago
F(x) = -5x+5. f(-2)
almond37 [142]

Answer:

f(-2)=15

Step-by-step explanation:

To find f(-2), we want to find what f(x), or y is, when x is equal to -2.

f(x)= -5x+5

Therefore, we can substitute -2 in for x.

f(-2)= -5(-2)+5

Now, solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction

Multiply -5 and -2

f(-2)=10+5

Add 10 and 5

f(-2)=15

8 0
3 years ago
Read 2 more answers
Other questions:
  • What is the ratio of 18:16:12?
    12·1 answer
  • A car can be rented from agency A at $85 per day plus $0.10 a mile or from agency B at $40 a day plus $0.20 a mile. If the car i
    5·1 answer
  • You worked 16 ¾ hours in the past two days and plan to work 12 ¾ hours in the next two days. How many hours will you total on yo
    6·1 answer
  • 24 points plz help me:Katie had 300 pencils she gave 45 of her pencils to Kim what percent of the pencils did Kim get.. ?plz hel
    6·2 answers
  • Eddie cut 2 2/4 feet of balsa
    6·1 answer
  • Please help with this
    11·1 answer
  • Can someone solve these?
    11·1 answer
  • Explain how to find the slope of the line if the equation is in standard form
    11·2 answers
  • PLEASE HELPPP &gt;&gt;&gt;&gt;&gt; There are twenty classes at Northwestern Middle School and twenty classes at Southeastern Mid
    6·2 answers
  • Find -8 ÷ -1/2=<br> quickly
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!