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
lora16 [44]
3 years ago
10

Over the last three evenings, Jane received a total of 123 phone calls at the call center. The second evening, she received 4 ti

mes as many calls as
the third evening. The first evening, she received 9 fewer calls than the third evening. How many phone calls did she receive each evening?
Number of phone calls the first evening:
Mathematics
1 answer:
vovikov84 [41]3 years ago
6 0

Answer:

13,88,22

On the first evening Jamie received 13 calls.

Step-by-step explanation:

Total number of phone calls received by Jamie over three evenings = 123

Let the number of phone calls received on the third evening = x.

The number of phone calls received on the second evening = 4*x.

The number of phone calls received on the first evening = x-9

Expressing in equation form:

\[x+4x+x-9=123\]

\[=>6x-9=123\]

\[=>6x=132\]

\[=>x=\frac{132}{6}\]

\[=>x=22\]

So Jamie received 22 calls on the third evening, 88 calls on the second evening and 13 calls on the third evening.

You might be interested in
The scale on a map is 1: 75 000. (a) Calculate the ACTUAL distance, in km, between two places which are 16 cm apart on the map.
finlep [7]

Answer:

a. 1 200 000 km

b. 0.000 773 cm

c. 67 500 000 000 km²

d. 0.000 000 016 cm²

Step-by-step explanation:

a. Calculate the ACTUAL distance, in km, between two places which are 16 cm apart on the map.

Since the scale is 1 : 75000 that is 1 cm : 75000 km, we want to find the actual distance of 16 cm on the map. Let x be the actual distance in km.

So, 1 cm : 75000 km = 16 cm : x km

So, 1 cm/75000 km = 16 cm/x km

Thus x km = 16 cm × 75000 km/1 cm = 1 200 000 km

(b) Calculate length of a road on the map which is 0.58 km.

Let y be the length of road on the map. So, using our scale

1 cm : 75000 km = y cm : 0.58 km

So, 1 cm/75000 km = y cm/0.58 km

Thus y cm = 0.58 km × 1 cm/75000 km = 0.000 773 cm

(c) Calculate, in km², the ACTUAL area of a lake which is 12 cm2 on the map.

Since the scale is 1 : 75000 , the scale for the area would be the square of this. So, 1² : 75000² = 1 : 5 625 000 000 which is 1 cm² : 5 625 000 000 km²

Let z be the actual area of the lake.

So,  1 cm² : 5 625 000 000 km² = 12 cm² : z km²

So, 1 cm²/5 625 000 000 km² = 12 cm²/z km²

Thus z km² = 12 cm² × 5 625 000 000 km²/1 cm² = 67 500 000 000 km²

(d) Calculate the area of a play field on the map which has has an actual area of 90 km².

Let a represent the area of the play field on the map. Using our scale for the area,

1 cm² : 5 625 000 000 km² = a cm² : 90 km²

So, a cm² = 90 km² × 1/5 625 000 000 km² = 0.000 000 016 cm²

4 0
2 years ago
A person 2 meters tall walks directly away from a streetlight that is 8 meters above the ground. If the person is walking at a c
Step2247 [10]

Answer:

4/3

Step-by-step explanation:

solution is attached

7 0
2 years ago
Read 2 more answers
Glenn needs 20 minutes to clean his room. If his little sister Veronika pulls things out while he is cleaning, it takes 60 minut
Bogdan [553]

Answer:

It takes 30 minutes

Step By Step:

The rate of Glenn in finishing a job would be equivalent to:

Rate (G) = 1

job / 20 minutes

While the rate of Veronika is:

Rate (V) = 1

job / x---> x is the unknown

Where 1 job for Glenn means completely cleaning his room while 1 job for Veronika means pulling out everything. Therefore the equation to use would be:

1 / 20 – 1 /

x = 1 / 60

The rate of

Veronika is subtracted from the rate of Glenn since Veronika is slowing Glenn

down. Solving for x:

Multiply both

sides by 60 x

(1 / 20 – 1 /

x = 1 / 60) * 60 x

3 x – 60 = x

2 x = 60

x = 30

Therefore it

takes 30 minutes for Veronika to pull everything out.

3 0
3 years ago
Simplify the following by removing the brackets: a (b-c)+d (b-c)<br>​
netineya [11]

Answer:

ab - ac + db - dc

Step-by-step explanation:

you distribute the variables inside the parenthesis

4 0
2 years ago
Which recursive formula can be used to represent the sequence 2,5,8,11,14,..
Natasha_Volkova [10]
The answer is D. a1=2 an=an-1+3
6 0
3 years ago
Other questions:
  • the left and right page numbers of an open book are two consecutive integers whose sum is 589. find these page numbers
    5·1 answer
  • Write 1050.00 in words​
    14·1 answer
  • 45.5 meters in 13 second
    12·2 answers
  • Tina and three of her friends are in line with different amounts of money. The first person in line had $775. If the amount trip
    10·1 answer
  • PLEASE HELP<br> 8m+4n+7m-2n<br> 1. 17mn<br> 2. 15m+2n<br> 3. m+2n<br> 4. 15m+6n
    13·2 answers
  • Use a calculator to solve the equation on the interval [0, 2π). Round to the nearest hundredth of a radian. sin 2x - sin x = 0 :
    13·2 answers
  • Multiply <br> (4x-2)(×^2-5×+3)
    8·1 answer
  • PLEASE HELP, ITS TIMED HURRY &gt;&gt;&gt;&gt;
    15·2 answers
  • Need math helpppppp pls:)
    8·1 answer
  • The graph shows the density of a substance. Find the density in grams per milliliter.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!