Over the last three evenings, Ivanna received a total of 116 phone calls at the call center. The third evening, she received 4 times as many calls as the first
evening. The second evening, she received 10 fewer calls than the first evening. How many phone calls did she receive each evening?

Answers

Answer 1

Answer:

first evening = 21 phone calls

second evening = 11 phone calls

third evening = 84 phone calls

Step-by-step explanation:

Total phone calls = 116

Let

Number of calls in the first evening = x

The second evening = x - 10

The third evening = 4x

Total phone calls = first evening + second evening + third evening

116 = x + (x - 10) + 4x

116 = x + x - 10 + 4x

116 + 10 = 6x

126 = 6x

x = 126 / 6

x = 21 phone calls

Number of calls in the first evening = x

= 21 phone calls

The second evening = x - 10

= 21 - 10

= 11 phone calls

The third evening = 4x

= 4(21)

= 84 phone calls


Related Questions

How many gallons each of 0.5% milk and 3% milk should a dairy farmer combine to
get 7 gallons of 2% milk?

Answers

Answer:

2.8 gallons 0.5% milk

4.2 gallons 3% milk

Step-by-step explanation:

let 'x' = .5% milk

let 'y' = 3% milk

System of Equations:

x + y = 7

.005x + .03y = 7(.02)

I used the substitution method and solved the first equation for y:  y = 7 - x

.005x + .03(7 - x) = .14

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-0.025x + 0.21 = 0.14

-0.025x = -0.07

x = 2.8

7 - 2.8 = 4.2

y = 4.2

AKS 46 - Graphs of Quadratics 1 point 3. Given f(x) = -3x2 + 5, what is the range of the function? A. all real numbers less than or equal to 5 B. all integers less than or equal to 5 C. all nonnegative real numbers D. all nonnegative integers ОА OB Oc Oo​

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Answer:

Step-by-step explanation:

Any value of x not equal to zero decreases the function from its maximum of 5 when x=0. So the range of the function is (-oo, 5] So all real numbers less than or equal to five.

The cost of hiring a surfboard involves an up-front fee plus an hourly rate. Three hours of hire costs $50 and 7 hours costs $90. Sketch a graph of costs, $C, for t hours of hire using the information given above. ​

Answers

Answer:

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

#5. Carlos buys a pair of shoes for $51.49 and a board game for $17.65. He pays with $80.00. How much change does he get back?

Answers

carlos gets back 10.86

Pleaseeeee helppppp answer correctly !!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!

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BD = 26 cm because it is double the length of AO.

Show how to rewrite 1/2 with the denominator 10.

Answers

5/10 because you multiply the denominator and numerator by 5

Answer:

5/10

Step-by-step explanation:

2 x 5 = 10

you will do the same thing to the top

1 x 5 = 5

so 5/10 = 1/2

Expand using the distributive property -2(2 +3x)​

Answers

Answer:

-4 - 6x

Step-by-step explanation:

-2 (2 + 3x)

-4 - 6x

Answer:
-4 - -6x

Explanation:
-2 x 2 = -4
-2 * 3x = -6x

Angela's aunt is two more than three times her age. The total of their ages is 54. How old is Angela and how old is her aunt?

Answers

Answer:

Angela is 13 years old and Angela's aunt is 41 years old.

Step-by-step explanation:

With the information provided you know that Angela's aunt is two more than three times her age, which could be expressed as:

x=3y+2, where:

x is Angela's aunt age

y is Angela's age

Also, you know that the total of their ages is 54, which is:

x+y=54

Now, you can replace x=3y+2 in x+y=54 and solve for y:

3y+2+y=54

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4y=52

y=52/4

y=13

Finally, you can replace the value of y in x=3y+2 to find x:

x=3(13)+2

x=39+2

x=41

According to this, the answer is that Angela is 13 years old and Angela's aunt is 41 years old.

Can someone please help me

Answers

Answer: Option D

Step-by-step explanation:

The correct answer is been

4 pts
The polygons are similar, but not necessarily drawn to scale. Find the value of x.
6
16
y +1
12
21
24
32
O x = 9
O x = 10
X = 8
11
2

Answers

Answer:

x = 9

Step-by-step explanation:

Corresponding sides are in proportion.  That means that [tex]\frac{x - 1}{6} = \frac{16}{12}[/tex]

12x - 12 = 96

12x = 108

x = 9

By the way, the scale factor is 16/12 = 4/3

The value of x of a polygon is :

x= 9.

"Polygons"

The polygons are similar, so the corresponding sides are in proportion.

x-1/6=16/1212x - 12 = 9612x = 108x = 9

Or By the scale factor is 16/12 = 4/3.

Learn more about "Polygon"

https://brainly.com/question/17756657?referrer=searchResults


3. A principal orders 2,592 pencils. She gives an equal amount to each of
the 24 teachers. How many pencils does each teacher receive?

Answers

Each teacher should receive 108 pencils

X/3 - 8 = 3 x=___ help

Answers

Answer: x=3

Step-by-step explanation:

Given

x/3-8=3

Add 8 on both sides

x/3-8+8=3+8

x/3=11

Multiply 3 on both sides

x/3 ×3=11×3

x=33

Hope this helps!! :)

Please let me know if you have any quesitons

4a + 3b - 2a - 6b
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Answers

Answer:

2a-3b

Step-by-step explanation:

Answer:

2a-3b

Step-by-step explanation:

Combine like terms,

4a-2a, 3b-6b

2a-3b

Which is better to buy, 6 CD's for $12 or 8 CD's for $14.50?

Answers

Answer:

8 CDs for $14.50

Step-by-step explanation:

We have to divide both of the numbers by the number of CDs. Our formula is:

(price) ÷ (number of CDs) = price per CD

When we divide both of the prices by the number of CDs, we see that 6 CDs for 12.00 is worse because it is 2.00, whereas the inflation is lower when you compare to the other rate. You get $1.81.

A bag contains 9 green marbles, 5 yellow marbles and 6 red marbles. You choose one marble. What is the probability of selecting a green or red marble? *

Answers

The probably of getting a green marble is 9/20 and 6/20 red marbles.

Answer:

green  9/20 chance | red 6/20 or reduced 3/10

Step-by-step explanation:

Earl runs 25 meters in 10 seconds. How many meters does Earl run per second?

Earl runs
meters per second.

Answers

Answer:

2.5 meters a second

Step-by-step explanation:

Because I said so

IF YOU KNOW MATH PLS HELP ME

Answers

Answer:

x ≈ 2.55

Step-by-step explanation:

Since the triangles are congruent then DE ≡ AB , that is

DE = AB

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help pls I have more ​

Answers

Answer:

Step-by-step explanation:

Answer:

[tex] \frac{5}{10} \times \frac{2}{1} = \frac{10}{10} = 1[/tex]

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[tex] \frac{2}{6} \times \frac{12}{6} = \frac{24}{36} = \frac{2}{3} [/tex]

[tex] \frac{1}{4} \times \frac{1}{3} = \frac{1}{12} [/tex]

[tex] \frac{1}{5} \times \frac{1}{1} = \frac{1}{5} [/tex]

lots of pointssssss :)


do each part pls (u will be reported if u do not thank)


(4,803) · 95

Noah has 4 bags of marbles with the same number in each bag.

If there are 536 marbles altogether, how many marbles are in each bag?

explain:

Answers

Answer:

134 in each bag

Step-by-step explanation:

536 divided by 4

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Help me please! I don’t have much time left to submit it

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Answer:

1. Angle 1 is 119

2. Angle 1 is 128

3. Angle 1 is 25

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5. Angle 1 is 47, Angle 2 is 137, Angle 3 is 31.

Step-by-step explanation:

when calculating probability, we give our answers as a

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Answer:

Step-by-step explanation:  work

PLEASE due in 30 minutes! This is my third time asking for help!!!

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Answer:

g(x)=3^-2x
g(x)=9^-x
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Explanation:

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Find the value of 71° + 72° + 73° + 74° + 75º.
Quick answer

Answers

Add them up and you get 365°

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Answers

Answer:

[tex]352.5cm^{2}[/tex]

Step-by-step explanation:

[tex]A=3Rectangles+2Triangles\\=3*7.5*13.5+2*.5*6.5*7.5=352.5cm^{2}[/tex]

Help plz I don’t understand any of it!

Answers

Step-by-step explanation:

ok so a translation is a shape being moves to a point,a reflection is basically mirrored from an opposite point, a rotation can be turned any way ,so it's telling you to do the points on a graph of x and y to make it match each point

Translate 2x−48 into words. Remember that x means a number.

Answers

Answer:

I love algebra anyways

The ans is in the picture with the  steps how i got it

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Step-by-step explanation:

The statement of the expression 2x - 48 is,

Forty-eight is subtracted from two times a number 'x'

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A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, A numerical expression 2x - 48 and we have to translate it into words.

Therefore, The statement form of the expression 2x - 48 is,

Forty-eight is subtracted from two times a number 'x'

learn more about numerical expressions here :

https://brainly.com/question/29199574

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Find the value of: 0.0279 divided by 0.00009

Answers

Answer:

310 ‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎

Answer:

0.00000002

Step-by-step explanation:

Find the values of x and y

Can someone help?

Answers

Answer:

[tex](x,y) = (65^\circ, 50^\circ)[/tex]

Step-by-step explanation:

Let all values denote degrees.

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Answer:

x° = 65° & y° = 50°.

Step-by-step explanation:

115° = x° + y° ( exterior angle property )

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Now we know that the triangle is an isosceles triangle. (given)

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This leaves behind y°.

y° = 180 - (65+65) = 50°.

So, x° = 65° & y° = 50°.

pls help me with this multiple choice !

Answers

Answer:

A

Step-by-step explanation:

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Henry Millie and Francis each have a savings account at the bank angry has $500.00 in his savings account Millie has $50.00 and Francis has $5,000.00 which correctly describes the value of their Banks

A. Henry has 1/10 as much money in his account as Francis and Millie have in their accounts

B. Henry has 10 times as much money in his account as Francis and Millie have in their accounts

C. Millie has 1/10 as much money in her account as Henry has in his account and a 100 times as much money as Francis has in her account

D. Francis has 10 times as much money in her account as Henry has in his account and a 100 times as much money as Millie has in her account​

Answers

Answer:

d

Step-by-step explanation:

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