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
skelet666 [1.2K]
3 years ago
12

Over the last three evenings, Donna received a total of 129 phone calls at the call center. The third evening, she received 3 ti

mes as many calls as the first
evening. The second evening, she received 9 more calls than the first evening. How many phone calls did she receive each evening?​
Mathematics
1 answer:
lakkis [162]3 years ago
5 0

Answer:

Number of calls received in 1st evening = 24

Number of calls received in 2nd evening = 33

Number of calls received in 3rd evening = 72

Step-by-step explanation:

Let

number of calls received in first evening be "x"

number of calls received in 2nd evening be "y"

number of calls received in 3rd evening be "z"

Total, in 3 evenings, we have 129 phone calls, so we can write:

x + y + z = 129

3rd evening, 3 times as first evening. We can write:

z = 3x

2nd evening, 9 MORE THAN FIRST. So we can write:

y = 9 + x

Now we replace 2nd and 3rd equation in 1st equation to get:

x + y + z = 129

x + 9 + x + 3x = 129

Now, first, we solve for x:

x + 9 + x + 3x = 129\\5x+9=129\\5x=120\\x=24

Solving for y:

y = 9 + x

y = 9 + 24

y = 33

Solving for z:

z = 3x

z = 3(24)

z = 72

Thus,

Number of calls received in 1st evening = 24

Number of calls received in 2nd evening = 33

Number of calls received in 3rd evening = 72

You might be interested in
Can you always show that a prediction based on theoretical probability is true by performing the event often enough? If so, expl
svetoff [14.1K]
I don't know I am just trying to get my questions answered
8 0
3 years ago
Danielle needs to walk 2.5. if she wants to teach her destination in 30 minutes(1/2),how fast does she need to walk?
adelina 88 [10]

Answer:

the correct answer is B. 5 miles per hour

Step-by-step explanation:

if she walks 5 miles in a hour she can walk 2.5 miles in 30 minutes

8 0
3 years ago
Half of 1/2 cake = ____ cake.
gizmo_the_mogwai [7]

Answer:

0.5

Step-by-step explanation:

5 0
3 years ago
A bag contains 20 slips of paper Individually numbered. If a slip of paper and a letter in the word PENNSYLVANIA is chosen at ra
Soloha48 [4]

Answer:

P(M4\ n\ V) = 2.083\%

Step-by-step explanation:

Given

Paper = 20 slips

Word: PENNSYLVANIA

Required

Determine P(Multiple of 4 and V)

The sample size of the 20 slips is:

n(S) = 20

The outcomes of multiples of 4 is:

M4= \{4,8,12,16,20\}

n(M4) = 5

So, the probability of multiples of 4 is:

Pr(M4) = \frac{5}{20}

Pr(M4) = \frac{1}{4}

The sample size of PENNSYLVANIA is:

n(S) = 12

The outcome of V is:

n(V) = 1

So, the probability of V is:

P(V) = \frac{1}{12}

So, the required probability is: P(Multiple of 4 and V)

P(M4\ n\ V) = P(M4) * P(V)

P(M4\ n\ V) = \frac{1}{4} * \frac{1}{12}

P(M4\ n\ V) = \frac{1}{48}

P(M4\ n\ V) = 0.02083

Express as percentage

P(M4\ n\ V) = 0.02083 * 100\%

P(M4\ n\ V) = 2.083\%

4 0
3 years ago
Hey guys!
GaryK [48]

The value of c from the given expression is -

<h3>Function and values</h3>

Given the following function

c(n)= −c(n−1)+1

Given the following parameters

c(1)=3

Substitute

3 = −c(3−1)+1

3 = -2c + 1

-2c = 3-1

-2c = 2

c = -1

Hence the value of c from the given expression is -1

Learn more on equation here: brainly.com/question/2972832

#SPJ1

8 0
1 year ago
Other questions:
  • Susan is buying three different colors of tiles for her kitchen floor. She is buying 107 red tiles, and three times as many navy
    8·1 answer
  • Prime factorization of 75​
    15·1 answer
  • Please help! I will rank and thank! :)
    14·1 answer
  • What is 3 1/4 x 1 1/2 x 9?
    15·1 answer
  • What is the geometric mean of 4 and 3? Your answer should be a reduced radical, NOT A DECIMAL.
    7·1 answer
  • Find the exact length of the third side.<br> 10<br> 6<br> PLEASE HELP GUH
    10·1 answer
  • Can you show how you solve the problem thanks
    8·2 answers
  • Simon can jump a distance that is 2 inches longer than 3 feet. Travis said he can jump farther than Simon because he can jump 38
    10·2 answers
  • 22. It takes Lynn 4 ¾ hours to drive to her grandmother's house. If she has already driven 2 ½ hours, how much longer will it ta
    9·1 answer
  • What decimal is equivalent to 8 9/100
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!