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mash [69]
1 year ago
4

The function y = -3x + 42 models the average number of dogs at an animal shelter, where x is the number of days after July 1. Th

e function y = 4x + 7 models the average number of cats at the animal shelter, where x is the number of days after July 1. After how many days is the average number of cats and dogs at the shelter the same?
A. 5 days
B. 7 days
C. 35 days
D. 49 days
Mathematics
1 answer:
stepladder [879]1 year ago
7 0

Answer:

A. 5 days

Step-by-step explanation:

Average number of dogs at an animal shelter: y = -3x + 42

Average number of cats at the animal shelter: y = 4x + 7

Where,

x = number of days after July 1

After how many days is the average number of cats and dogs at the shelter the same?

Equate both functions

-3x + 42 = 4x + 7

-3x - 4x = 7 - 42

-7x = -35

Divide both sides by -7

x = -35 / -7

= 5

x = 5 days

The correct answer is A. 5 days

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The m6 = (11x + 8)° and m7 = (12x – 4)° What is the measure of 4? m4 = 40° m4 = 48° m4 = 132° m4 = 140°
bezimeni [28]
M< 6 = m< 7 (vertical angles)
11x + 8 = <span>12x – 4
12x - 11x = 8 + 4
 x = 12
so
m< 6 = </span>11x + 8 
m< 6 = 11(12) + 8
m< 6 = 132 + 8
m< 6 = 140

m<4 = 180 - m<6
m<4 = 180 - 140
m<4 = 40

answer

<span>m<4 = 40</span>
7 0
2 years ago
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Joshua is doing a chemistry experiment that calls for a 30% solution of copper sulfate. He has 40ml of 25% solution. How many mi
Sholpan [36]

Answer:

6 2/3 mL

Step-by-step explanation:

Multiply thru by 100 to get:

1000 + 60x = 30*40 + 30x

30x = 200

x = 6 2/3 mL (amt. of 60% solution needed in the mixture)

8 0
2 years ago
Xy+(4(20))&gt;x-5y(2+9-7)
prohojiy [21]

I'll solve for y xy+(4(20))>x-5y(2+9-7) 

xy+4(20)>x-5y(2+9-7) 

xy+4(20)>x-5y(4) 

xy+4(20)>x-20y 

xy+80>x-20y 

xy+20y+80>x 

y(x+20)>-80+x 

y>(-80+x)/(x+20)


3 0
2 years ago
9,290 is the value of the first 9 ten times as great as the value of the second 9?
Semenov [28]

Answer:

No

Step-by-step explanation:

The first nine in on the place of the thousands, while the second nine is on the place of the tens. so the first nine is a hundred times as great as the second nine

8 0
2 years ago
Spin the spinner 90 times to simulate the 90-day weather forecast. Which type of weather has the lowest observed frequency?
tensa zangetsu [6.8K]

Complete Question:

The weather forecast for next season calls for a 10% chance of wind, a 20% chance of rain, a 30% chance of clouds, and a 40% chance of sunshine. If there are 90 days in the season,spin the spinner 90 times to simulate the 90-day weather forecast. Which type of weather has the lowest observed frequency?

Answer:

 Wind Weather

Step-by-step explanation

From the question above

The sample space(which means the total number of events that we are considering ) = 90 times of spinning which represents the 90 days  weather forecast

The chance of wind weather occurring is 10% and its observed  frequency of occurrence within the 90 days is  =  (10÷100) × 90 =  9 days

The chance of rain weather occurring is 20% and its observed  frequency of occurrence within the 90 days is  =  (20÷100) × 90 =  18 days

The chance of cloud weather occurring is 30% and its observed frequency of occurrence  within the 90 days is  =  (30÷100) × 90 =  27 days

The chance of sunshine weather occurring is 40% and its observed frequency of occurrence within the 90 days is  =  (40÷100) × 90 =  36 days

We see from the above calculation that the weather with the lowest observed frequency is Wind weather

 

8 0
2 years ago
Read 2 more answers
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