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cestrela7 [59]
3 years ago
14

Over the last three evenings, Linda received a total of 83 phone calls at the call center. The second evening, she received four

times as many calls as the third evening. The first evening she received seven fewer calls then the third evening. How many phone calls did she receive each evening?
Mathematics
1 answer:
mario62 [17]3 years ago
5 0

Answer:

First evening: 8 phone calls

Second evening: 60 phone calls

Third evening: 15 phone calls

Step-by-step explanation:

third evening: x

second evening: 4x

first evening: x - 7

x + 4x + x - 7 = 83

6x = 90

x = 15

First evening: x - 7 = 15 - 7 = 8

Second evening: 4x = 4(15) = 60

Third evening: x = 15

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430 oz + 8.25 oz = 438.25 oz
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3 years ago
PLEASE HELP!! if sec x=5/3 what is the value of b? NL=20 LM=3b angle of L is x degrees.
Readme [11.4K]

Answer:

a. b=4

Step-by-step explanation:

\sec \theta =\dfrac{1}{\cos \theta} = \dfrac{Hypotenuse}{Adjacent}

From the attached triangle drawn below:

NL=20,  LM=3b, \angle L=x^\circ

\sec x =\dfrac{20}{3b}

Since we are told that:

\sec x =\dfrac{5}{3}\\$Then:\\\dfrac{20}{3b} =\dfrac{5}{3}\\$Cross multiply\\5 \times 3b =20 \times 3\\15b=60\\$Divide both sides by 15\\15b \div 15 =60 \div 15\\b=4

The correct option is A.

8 0
3 years ago
Please help!!!!!!! I only have 20 minutes left!!
slavikrds [6]

Step-by-step explanation:

You need to find the total number of students the pie chart will represent:

17 + 35 + 38 = 90

So you know, 360° represents 90 people

You can then find out the angle for each person: 360 ÷ 90 = 4

Each person is 4°

a)

1. 17 people took French so you would do 4° × 17 = 68°

2. 35 people took German so you would do 4° × 35 = 140°

3. 38 people took Italian so you would do 4° × 38 = 152°

b)

17 out of 90 people chose french so the probability would be 17/90

5 0
2 years ago
This subject is on integers
antoniya [11.8K]

Answer:

|-8| = 8

Step-by-step explanation:

legit just the opposite of the integer.

8 0
3 years ago
Is the relationship shown by the data linear? How can you tell if it is or is not? If so, model the data with an equation.
Marat540 [252]

Answer:

linear and y = 2x + 19

Step-by-step explanation:

the x- values increment by 2 and the values of y increment by 4

This indicates a linear relationship exists in the form

y = mx + c ( m is the slope and c the y-intercept )

m = \frac{rise}{run} = \frac{4}{2} = 2

y = 2x + c ← is the partial equation

to find c use any ordered pair from the table

using (- 5, 9 ), then

9 = - 10 + c ⇒ c = 9 + 10 = 19

y = 2x + 19 ← linear equation

As a check

x = - 7 : y = - 14 + 19 = 5 ← correct value of y

x = - 5 : y = - 10 + 19 = 9 ← correct value of y

x = - 3 : y = - 6 + 19 = 13 ← correct value of y

x = - 1 : y = - 2 + 19 = 17 ← correct value of y


4 0
3 years ago
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