Mathematics College

The sum of three consecutive integers is 54. What are the integers? A. 17, 18, 19 B. 17, 19, 21 C. 18, 19, 20 D. 16, 17, 18

Answers

Answer 1

Answer:

Option A: 17,18,19 is the right answer.

Step-by-step explanation:

Let x be the first integer then the next two consecutive integers will be x+1, x+2

According to the given statement, the equation will be:

[tex]x + (x+1) + (x+2) = 54[/tex]

The equation is a linear equation in one variable, we have to solve the equation to get the values of integers

[tex]x+x+1+x+2 = 54\\3x+3 = 54\\3x = 54-3\\3x = 51\\\frac{3x}{3} = \frac{51}{3}\\x = 17[/tex]

Second integer = x+1 = 17+1 = 18

Third integer = x+2 = 17+2 = 19

The three integers are: 17,18 and 19

Hence,

Option A: 17,18,19 is the right answer.

Answer 2

Answer:

option a is the right answear trust

Step-by-step explanation:

Related Questions

5 points
You went to go buy a PlayStation 5 that was on sale for 25% off. The
cashier adds tax the total your bill is $529.99. AFTER you take off the 25%
for the sale you pay the cashier $600, then how much change will you
receive back? Round to the nearest hundredth.

Answers

Answer:

70.01 so 70

Step-by-step explanation:

Answer:

Step-by-step explanation:

600 - 529.99 = 70.01

70.01 is rounded to 70

Answer is 70

Francine uses 2/3 cup of pineapple juice for every 1/3 cup of orange juice to make a smoothie. Enter the number of cups of pineapple juice Francine uses for 1 cups of orange juice.

Answers

Answer:

Francine uses the number of cup of pine apple juice is 2 cups

hope my answer is helpful to you

plz mark me as brainlist and also follow me

2 cups
2/3 x 3= 6/3 which is equivalent to 2 cups

Warm-Up
Point C has the coordinates (-1, 4) and point D has the
coordinates (2, 0). What is the distance between points
Cand D?
d=-x)' + (a-n'
units
Intro

Answers

Answer:

I think the answer is (-3,4)

-2x2 - 5x + 4 when x = -3

Answers

Answer:

Step-by-step explanation:

-2x^2 - 5x + 4, x = -3

replace the x in the equation with -3

-2(-3)^2 - 5(-3) + 4

multiply/simplify

-2(9) + 15 + 4

-18 + 19

please answer asap
25 points

Answers

Answer:

(-5,7) that will be your answer.

Can some one help me with this one

Answers

Answer:

T equals 20.

Step-by-step explanation:

Another equation could be 24 - 4 = t.

Answer:

t= 28

Step-by-step explanation:

Because there was an unknown amount which would be known as the sum of 24 and 4 cards. Therefore you add the two numbers and get the total amount of cards which is 28.

10. Solve for x.8x+2

Answers

Answer:

Step-by-step explanation:

70+60=130 180-130=50 50-2=48 48/8=6

Answer:

.................

Step-by-step explanation:

Novak wants to print books and magazines. He wants to print a total of at least 404040 books and magazines (condition AAA), with at most 360036003600 sheets of paper (condition BBB).
The graph below represents the constraints on the number of books KKK and magazines MMM Novak prints:Novak prints 303030 books. How many magazines can he print to meet both his constraints?

see picture below:

Answers

Answer:

Novak doesn't have enough sheets of paper left to print any magazines.

Step-by-step explanation:

The common shaded area represents the range of all combinations that fit both Novak's wish to print at least 40 books and magazines and the limit of 3600 sheets of paper.

Can you find the combinations within that area where the number of books Novak prints is 30?

Hint #2 / 3

The line K = 30K, represents all combinations where the number of books Novak prints is 30. We can see that the points on that line do not lie within the common shaded area.

Hint #3 / 3

Novak doesn't have enough sheets of paper left to print any magazines.

Please help I need to turn this in please help me

Answers

Step-by-step explanation:

15/5 = 3, 21/7 = 3 -- scale factor is 1/3 since he must divide by 3 to get the side lengths for the photo card

Area = width*length, and scale factor is 5. Therefore, the new width is (15*5) and the new length is (21*5), so the new area is 15*5*21*5 = 15*21*5² = 15*21*25 = 315*25 = 7875 in²

Answer:

what is the question

Step-by-step explanation:

my this help you to solve thequestion

Find the product of-8+4i and its complex conjugate

Answers

Answer:

I hope it will be useful.

Suppose y varies directly with x. When
x is 3, y is 15. What is y when x is 10?

Answers

Answer:

Y= 30

Step-by-step explanation:

Because proportionally it makes sense as well as it multiplication.

The largest Prime number less than 100 is ?

Answers

Answer: 97

Step-by-step explanation: The first 25 prime numbers (all the prime numbers less than 100) are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97 (sequence) just if you need all the primes

The largest prime number less than 100 is 97 by using the definition of prime number and examine the prime numbers that are smaller than 100.

To find the largest prime number less than 100, to examine the prime numbers that are smaller than 100.

A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself.

Starting from 99 and moving downwards, check each number for divisibility by smaller numbers.

Any number that has divisors other than 1 and itself is not prime.

99 is not a prime number as it has more than one factors.

99 = 1, 3, 9, 11, 33, 99.

98 is not a prime number as it has more than one factors.

98 = 1, 2, 4, ........, 98.

97 is a prime number as it has more than one factors.

97 = 1, 97.

By doing this process, eventually reach 97, which is the largest prime number less than 100.

Learn more about prime numbers here:

https://brainly.com/question/29629042

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Which number would be located in the shaded part of the diagram? F 1.7 G 8 2 H 3 J 10

Answers

J is the answer for this question

need the answer please thank you!

Answers

Answer:

a) 4/19

b) 15/19

c) 0 (0/19)

d) 1 (19/19)

Step-by-step explanation:

In the numerator you put the number of possibilities of your happy outcome. In the denominator you put the total number of possibilities. So the bag contains 4+15=19 marbles, so that will be your denominator in each answer.

Which process would produce the complex number w2? Add 3 – i to w1. Add –9 + 3i to w1. Subtract 3 – i from w1. Subtract –9 + 3i from w1.

Answers

Answer

B.) Add [tex]-9+3i[/tex] to [tex]w1[/tex]

Step-by-step explanation:

Just took the test and D was wrong.

if mn is a midsegment to abc find the values of x and y. this is the only time im gonna use this so here's 50 points

Answers

x would equal 3 and y would equal 7

thanks for the points to mate

Camila's car used 8 gallons to travel 128 miles. How many miles can the car go on one gallon of gas?

Answers

Answer: 16

Step-by-step explanation: 128 divided by 8 gives you 16

Answer:

16 miles

Step-by-step explanation:

Make a proportion:

8 gallons / 128 miles = 1 gallon / x miles ---> 128 * 1 / 8 = 16

Can someone check this for me thanks.

Answers

you are right all the way

In the given figure , find m

Answers

Answer:

19 is the answer

Step-by-step explanation:

Answer:

29 Degrees

Step-by-step explanation:

As you know the total degrees is 82, all you have to do is subtract 82 from 53 to give you 29.

Find the x-intercept and y-intercept of the linear equation: 3x+2y=6*

Algebra

Answers

Answer:

-3/2

Step-by-step explanation:

-3/2 is the answer thank you have good day

Which function below represents exponential decay?
ƒ(x) = 0.5(2)x
ƒ(x) = 4(0.25)x
ƒ(x) = 2(1.3)x
ƒ(x) = (-3)x

Answers

Answer:

f(x)=(-3)x

Step-by-step explanation:

Answer:

ƒ( x ) = 4(0.25) x

Step-by-step explanation:

because my test says so.....

2y + 4 = 10
What is the first step in solving the
equation?

Answers

Answer:

Subtract 4 on both sides, then divide by 2 to find y

Step-by-step explanation:

Answer:

Its usually distribute or combine like terms but here we just solve.

Step-by-step explanation:

we do:

2y+ 4 = 10

-4 -4

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

2y 6

--- = ---

2 2

y = 3

ABCD is a parallelogram. Find the measure of ZABC.
HELPPP

Answers

Answer:

50°

Step-by-step explanation:

Opposite angels of a parallelogram are congruent to each other.

This means:

<ADC = <ABC

<ADC = 38° + 12°

<ADC = 50°

Since <ADC = <ABC, therefore,

<ABC = 50°

If /II m, what is the value of x?
not enough information
43°
143
m
137
43

Answers

Answer:

X is 137.

Step-by-step explanation:

Because they are parallel, we can see that because of alternate exterior angles, the angle next to X is 43, and we subtract that from 180 which gives us x, or 137.

A peice of fabric costs $5.29 a yard which is an estimated cost of 16.3 yards of fabric?

Answers

Answer:

Step-by-step explanation:

$5.29 * 16.3 = $86.227

=$86.23

86.23 could be rounded up to 90

You randomly select one card from a 52-card deckFind the probability of selecting the eight of spades or the seven of hearts

Answers

A N S W E R :

A pack of 52 card deck.The 52 cards contains 13 spades and 13 hearts.

→ Probablity of getting the 8 spades = 1/52

→ Probablity of getting the 7 hearts = 1/52

Both are mutually exclusive event's.

So,

⇒ Probablity of getting 7 hearts or 8 spades = Probablity of getting the 7 hearts + Probablity of getting the 8 spades

⇒ Probablity of getting 7 hearts or 8 spades = 1/52 + 1/52

⇒ Probablity of getting 7 hearts or 8 spades = 2/52

⇒ Probablity of getting 7 hearts or 8 spades = 1/26

The probability of selecting the eight of spades or the seven of hearts is 1/26.

What is probability?

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

We have,

Number of cards = 52

Number of eight of spades in the deck of cards = 1

Number of seven of hearts in the deck of cards = 1

The probability of selecting the eight of spades or the seven of hearts.

= 1/52 + 1/52

= 2/52

= 1/26

Thus,

The probability of selecting the eight of spades or the seven of hearts is 1/26.

Learn more about probability here:

https://brainly.com/question/14099682

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Given P(A) = 0.4 and P(B) = 0.6, do the following.(a) If A and B are independent events, compute P(A and B).(b) If P(A | B) = 0.5, compute P(A and B).

Answers

Answer:

Solution in photo

Step-by-step explanation:

Answer:

a) 0.24

b) 0.3

Step-by-step explanation:

Given the following probability

P(A) = 0.4 P(B) = 0.6

a) P(A and B) =P(A)P(B) {Independent)

P(A and B) = 0.4×0.6

P(A and B) = 0.24

b) Given P(A | B) = 0.5, this is a conditional probability

If P(A | B) = P(A and B)/P(B)

Since If P(A | B) = 0.5

0.5 = P(A and B)/P(B)

P(A and B) = 0.5(P(B)

P(A and B) = 0.5(0.6)

P(A and B) = 0.3

i 15 =

A -1
B 1
C -i
d i

Answers

Answer:

C. -i

Step-by-step explanation:

i^n is expondential. i^1 = i

i^2 = -1

i^3 = -i

i^4 = 1.

Answer:

it is i

Step-by-step explanation:

Derek heard someone say that high school quarterbacks in Texas are almost all more than 6
feet tall. Derek wonders about the validity of that statement. He decides to collect some
data to estimate the mean height of high school quarterbacks playing in the state of Texas.

Since it is impractical to try to measure every quarterback’s height personally, Derek decides
to randomly collect a sample of the heights of 15 Texas high school quarterbacks.

The quarterback heights, to the nearest inch, Derek collected are:
69”, 72”, 75”, 68”, 70”, 67”, 75”, 73”, 69”, 71”, 74”, 75”, 68”, 70”, 73”

Using this data, estimate the population mean of the heights of high school quarterbacks in
Texas to the nearest inch

Answers

Answer: 71 inches

Step-by-step explanation:

Please the following in the question

Answers

Answer:

I can't even read that I think your done for

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The sum of three consecutive integers is 54. What are the integers? A. 17, 18, 19 B. 17, 19, 21 C. 18, 19, 20 D. 16, 17, 18 ​

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The sum of three consecutive integers is 54. What are the integers? A. 17, 18, 19 B. 17, 19, 21 C. 18, 19, 20 D. 16, 17, 18