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Nimfa-mama [501]
3 years ago
11

Choose the equation that could be used to find three consecutive integers whose sum is 75. n + (n + 1) + (n + 2) = 75 n + (n + 2

) + (n + 4) = 75 n + (n + 1) + (n + 3) = 75 n + (n - 1) + (n - 3) = 75
Mathematics
1 answer:
Vesna [10]3 years ago
8 0
Correct Answer:
First Option

Let the first integer be n.
Since the integers are consecutive, the integer next to n will be n+1
and so the third integer will be n+2

Therefore, the three integers are:
n , n +1, n+2

Their sum is 75. So we can write the equation as:

n + (n+1) + (n+2) = 75

This equation can be used to find n. After finding n, we can find the next two integers by finding (n+1) and (n+2)

You might be interested in
Plz i need this done quick thx
eduard

Answer:

106 degrees

Step-by-step explanation:

Sides AB and CD are equal in length and sides AD and BC are parallel to each other. This tells us that angles B and C are equivalent. Knowing this, we can set up the following equation to solve for x:

4x+42=74+2x

Subtract both sides by 42

4x+42-42=74+2x-42\\4x=32+2x

Subtract both sides by 2x

4x-2x=32+2x-2x\\2x=32

Divide both sides by 2

\frac{2x}{2} =\frac{32}{2} \\x=16

Now, to find angle ABC, or angle B, we can plug x back into its expression:

4x+42\\= 4(16)+42\\=64+42\\= 106

Therefore, the measure of angle ABC is 106 degrees.

I hope this helps!

5 0
3 years ago
I need help with this one asap please and thank you
inna [77]

Answer:

C

Step-by-step explanation:

A

(m² - 3m + 2) / (m² - m)

we see due to a little bit of experience with expressions and multiplications of expressions that

(m² - 3m + 2) = (m - 2)(m - 1)

(m² - m) = m(m - 1)

so,

(m - 2)(m - 1) / (m(m - 1)) = (m - 2) / m

so, that's not it.

B

(m² - 2m + 1) / (m - 1)

we see again

(m² - 2m + 1) = (m - 1)(m - 1)

so,

(m - 1)(m - 1) / (m - 1) = m - 1

so, that's not it.

C

(m² - m - 2) / (m² - 1)

we see again

(m² - m - 2) = (m - 2)(m + 1)

and

(m² - 1) = (m + 1)(m - 1)

so,

(m - 2)(m + 1) / ((m + 1)(m - 1)) = (m - 2) / (m - 1)

yes, that is the solution.

D

(2m² - 4m) / (2(m - 2))

2m(m - 2) / (2(m - 2)) = 2m/2 = m

no, that is not a solution.

8 0
2 years ago
I need help with 1-2 and 4-6!!!
serious [3.7K]

Answer:


1. y = 1/4 and y = 1/4x+2

2. y - 1 = -x (x + 7) and y = -x and x + y = 3

-------

4. y = 3 and x = 6

5. y = 1/2x + 2  and y + 1 =  -2x

6. Slope of <u>AB</u> = 2/3

Slope of BC = -3/2

AB is perpendicular to BC because 2/3(-2/3) = -1

ABC is a right triangle because it contains a right angle


4 0
3 years ago
60 = 9x - 21 What is the solution to this equation plz hurry
madam [21]

Answer:

x=9

Step-by-step explanation:

hope this helps i think it's right 60=9x - 21 you add 21 to both sides and get 81 = 9x then divide 81 by 9 and get x=9

8 0
3 years ago
Read 2 more answers
The proportion of American births that result in a birth defect is approximately 1/33 according to the Centers for Disease Contr
max2010maxim [7]

Answer:

The appropriate probability model for X is a Binomial distribution,

X \sim Bin (<em>n</em> = 5, <em>p</em> = 1/33).

Step-by-step explanation:

The random variable <em>X</em> can be defined as the number of American births resulting in a defect.

The proportion of American births that result in a birth defect is approximately <em>p</em> = 1/33.

A random sample of <em>n</em> = 5 American births are selected.

It is assumed that the births are independent, i.e. a birth can be defective or not is independent of the other births.

In this experiment the success is defined as a defective birth.

The random variable <em>X</em> satisfies all criteria of a Binomial distribution.

The criteria are:

  • Number of observations is constant
  • Independent trials
  • Each trial has only two outcomes: Success and Failure
  • Same probability of success for each trial

Thus, the appropriate probability model for X is a Binomial distribution, Bin (<em>n</em> = 5, <em>p</em> = 1/33).

7 0
3 years ago
Read 2 more answers
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