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Ahat [919]
3 years ago
14

An animal shelter spends $1.50 per day to care for each cat and $3.50 per day to care for each dog. Gianna noticed that the shel

ter spent $20.50 caring for cats and dogs on Tuesday. Gianna found a record showing that there were a total of 7 cats and dogs on Tuesday. How many cats were at the shelter on Tuesday?
Mathematics
1 answer:
horrorfan [7]3 years ago
7 0

Answer:

2 cats were cared for

Step-by-step explanation:

c= cats

d=dogs

c+d =7

1.5c+3.5d=20.50

c+d =7

solve for d

d = 7-c

substitute into 1.5c+3.5d=20.50

1.5 c + 3.5 (7-c) = 20.50

distribute

1.5c +24.5 -3.5 c = 20.5

combine like terms

24.5 -2c =20.5

subtract 24.5 from each side

-2c = -4

divide by -2

c =2


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Answer:

7 lb peaches, 6 lb tomatoes, 2 lb mushrooms

Step-by-step explanation:

8 0
3 years ago
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A study was conducted to investigate the relationship between maternal smoking during pregnancy and the presence of congenital m
Pachacha [2.7K]

Answer:

a) In the explanation.

b) P=0.09714

c) P=0.0866

d) p=0.208

Step-by-step explanation:

a) The sampling distribution will have this properties:

1 - The sampling distribution of a proportion is equal to the binomial distribution.

2 - The mean of the sampling distribution will be equal to the proportion of the population (0.328).

\mu=\pi=0.328

3 - The standard deviation will be equal to the square root of the product of the proportion and its complementary, divided by the sample size.

\sigma_s=\sqrt{\pi(1-\pi)/n}=\sqrt{0.328*(1-0.328)/25}=0.094

B) The fraction with sample proportion of 0.45 or higher is

z=(p-\pi)/\sigma=(0.45-0.328)/0.094=1.298\\\\P(p\geq0.45)=P(z\geq 1.298)=0.09714

C) The fraction with sample proportion of 0.20 or lower is

z=(p-\pi)/\sigma=(0.2-0.328)/0.094=-1.362\\\\P(p\leq0.2)=P(z\geq -1.362)=0.0866

D) The value of p that cuts off the lower 10% of the distribution corresponds to z=-1.28.

Then we have

z=(p-\pi)/\sigma\\\\p=\pi+z\sigma=0.328+(-1.28)*0.094=0.328-0.120=0.208

7 0
3 years ago
Rectangle LMNP has a length of 3x+5 meters and a width of 4x-3 meters. What is its perimeter? PART B: The perimeter of rectangle
frez [133]
Part A: 
(3x+5)+(3x+5)+(4x-3)+(4x-3)=p
3x+3x+4x+4x=14x
5+5+-3+-3=4
14x+4=p
     -4    -4
14x=p-4
----  -----
14    14

x=1/4 p + -2/7

14(1/4 p +-2/7) +4=p
14(0.25p + 0.28571428571)+4=p
3.5 + 3.99999999994 + 4=p
11.4999999999=p

This may not help by no harm in trying.

4 0
3 years ago
Which statement describes the graph of function g compared to function f?
emmasim [6.3K]

Answer: OPTION B.

Step-by-step explanation:

Below are some transformations for a function f(x):

1. If f(ax) and a>1, the function is compressed horizontally by a factor of \frac{1}{a}.

2. If f(ax)  and 0, the function is stretched horizontally by a factor of \frac{1}{a}.

3. If bf(x) and 0, the function is compressed vertically by a factor of "b".

4. If bf(x)  and b>1, the function is stretched vertically by a factor of "b".

In this  case you have the function f(x):

f(x)=6^{x-2}

And the function g(x):

g(x)=0.4(6)^{x-2}

So, you can identify that:

g(x)=bf(x) and  0

Therefore, the graph of the function g(x) is a vertical compression of the graph of function f(x).

3 0
3 years ago
What is the distance between the points (4, -2) and (-1, 10)?
Tju [1.3M]

Answer:

13 units.

Step-by-step explanation:

We can find distance between points by using the following formula:

\sqrt{(change in x)^2+(changeiny)^2}

The change in x is -5, and change in y is 12. Let's apply this to the formula.

\sqrt{(-5)^2+(12)^2}. Evaluate this, and we get 13.

Hope this helped!

5 0
3 years ago
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