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GrogVix [38]
2 years ago
9

An animal shelter has $2500 in its reserve fund. The shelter charges $40 per animal placement and would like to have at least $4

000 in its reserve fund. Write an inequality to represent this situation.
Mathematics
1 answer:
Elena-2011 [213]2 years ago
5 0

Answer:

Step 1

Write and solve the inequality:

2,500 + 40a ≥ 4,000, or 40a ≥ 1,500

a ≥ 37.5

Step 2

If the shelter places 30 cats and 10 dogs,

or 40 animals, that will be enough to meet

its goal, because a = 40 is a solution to the

inequality a ≥ 37.5.

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Consumer Reports scored cars on quality and cost. Spearman's rank correlation coefficient was calculated using Statdisk and the
melomori [17]

Answer:

d.There is insufficient evidence to conclude that the quality and price of a car are associated. There were ten cars used in the sample.

Step-by-step explanation:

Hello!

You have two variables X₁: quality score of a car and X₂: the price of a car.

It was analyzed id there is an association between the quality and the price.

The null hypothesis of a Spearman's rank correlation test is:

H₀: There is no association between the quality and the price of cars.

The researcher failed to reject the null hypothesis which means that there is no association between the variables of interest.

The sample size is listed in the output n= 10 consumer reports.

I hope you have a SUPER day!

8 0
1 year ago
The 11th grade class at Red Hook high school was surveyed about the types of music they liked. Of those surveyed, 64% said they
Zarrin [17]

22% liked neither.

Step-by-step explanation:

Given,

64% liked pop music.

52% liked rap music.

38% liked both type of music.

To find out the percentage of those liked neither.

Now,

Let, total number of student = 100

Number of students liked pop = 64

Number of students liked rap = 52

Number of students liked both = 38

So,

Number of students who liked only pop = 64-38 = 26

Number of students who liked only rap = 52-38 = 14

Hence,

Number of students who liked neither = 100 - (26+14+38) = 22

22% liked neither.

6 0
1 year ago
Minato drove 390 miles. Part of the drive was along local roads, where his average speed was 20 mph, and the rest was along a hi
pashok25 [27]

Answer:

45 miles.

Step-by-step explanation:

Given that the:

Total distance covered = 390 miles

Total time = 8 hours

Let the distance covered along the local way = L

And the distance covered along the highway = H

Along with local way,

Speed = distance/ time

20 = L / T

T = L /20 .... (1)

Along the highway,

Distance covered H = 390 - L

Let the time = t

Speed = distance/time

60 = (390 - L)/t

t = ( 390 - L)/60

But total time = T + t

That is

8 = L/20 + (390 - L)/60

The LCM at right hand side will be 60

8 = ( 3L + 390 - L )/60

Cross multiply

480 = 2L + 390

Collect the like terms

2L = 480 - 390

2L = 90

L = 90/2

L = 45 miles.

Therefore, the distance Minato drive along local roads is 45 miles

4 0
2 years ago
Carlie runs two different business. She needs to pay $100 for materials, and pay her associates $12 per hour for
Marrrta [24]

Answer:

375+12ct_c+10lt_l

Step-by-step explanation:

Carlie is running two different business.

She needs to pay:

- For the childcare business,

100$ for the materials

12$ per hour for each associate for her childcare business, so if we call:

t_c = the number of hours worked by each associate

c = the number of associates

The total cost for the childcare business is:

C=100+12ct_c (1)

- For the lawn care business,

275$ for the materials

10$ per hour for each associate for her lawn care business, so if we call:

t_l = the number of hours worked by each associate

l = the number of associates

The total cost for the lawn care business is:

L=275+10lt_l (2)

Therefore, the total expenses from both businesses is the sum of (1) and (2):

T=C+L=100+12ct_c+275+10lt_l = 375+12ct_c+10lt_l

3 0
1 year ago
Under ideal conditions a certain bacteria population is known to double every three hours. Suppose that there are initially 100
lara [203]

Answer:

the estimation of the size of the population after 20 hours is 10159

Step-by-step explanation:

The computation of the size of the population after 20, hours is shown below;

= 100  2^(20 by 3)

= 10159.36

If we divide 20 by 3 so it would give 6.66 that lies between 6 and 7

So the estimation of the size of the population after 20 hours is 10159

hence, the same is relevant

3 0
1 year ago
Read 2 more answers
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