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olchik [2.2K]
3 years ago
7

An animal shelter spends $4.50 per day to care for each bird and $8.50 per day to care for each cat. Dominic noticed that the sh

elter spent $175.00 caring for birds and cats on Monday. Dominic found a record showing that there were a total of 22 birds and cats on Monday. How many birds were at the shelter on Monday?
Mathematics
1 answer:
Nimfa-mama [501]3 years ago
3 0

Answer:

Step-by-step explanation:

4.5b + 8.5c = 175

b + c = 22.......b = 22 - c

4.5(22 - c) + 8.5c = 175

99 - 4.5c + 8.5c = 175

-4.5c + 8.5c = 175 - 99

4c = 76

c = 76/4

c = 19......there are 19 cats

b + c = 22

b + 19 = 22

b = 22 - 19

b = 3 <==== there are 3 birds

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Which equation best describes the same line as y - 6 = -4(x+1)
Kobotan [32]

Answer:

y - 6 = -4(x+1) is equivalent to equation C:  y       =  -4x + 2

Step-by-step explanation:

Solve the given y - 6 = -4(x+1) for y and remove the parentheses shown:

y - 6 = -4(x+1) becomes

y       = -4(x + 1) + 6, or

y       = -4x - 4 + 6, or

y       =  -4x + 2    This is equivalent to equation C.

7 0
3 years ago
7. What is the slope of the line that passes through the pair of points (3, 8) and (9, 5) ? (1 point)
agasfer [191]
7. D
8. D
9. D
10.C

for 7 & 8 you use the equation
\frac{y2 - y1}{x2 - x1}
your points are (3,8) & (9,5)

so you plug the numbers in
y2= 5
y1=8

x2=9
x1=3
you subtract them get a fraction and that is your slope


9 & 10
use the equation
y - y1 = m(x - x1)
plug you numbers in for y1 and x2 m is your slope plug it in and that is your equation


5 0
3 years ago
Read 2 more answers
Please please help me with this
BartSMP [9]

Answer:

x = 5

Step-by-step explanation:

Just use the Pythagorean Triangle:

13^2 - 12^2 = x^2

x^2 = 25

x = 5

5 0
3 years ago
Read 2 more answers
66 points! for if you get this right 99 kids go race go karts for a all day pass is $56 per kid then they play arcade games at a
Romashka-Z-Leto [24]

The total amount that was spent is $6099

<h3>How to determine the total amount that was spent?</h3>

The given parameters are

Number of kids = 99

Pass = $56 per kid

Arcade game = $555

The total amount that was spent is calculated as

Total = Number of kids * Pass + Arcade game

So, we have

Total = 99 * 56 + 555

Evaluate the expression

Total = 6099

Hence, the total amount that was spent is $6099

Read more about expressions at

brainly.com/question/723406

#SPJ1

7 0
1 year ago
Let X1, X2, and X3 represent the times necessary to perform three successive repair tasks at a service facility. Suppose they ar
belka [17]

Answer:

The mean of the total repair time is 150 minutes.

The variance of the total repair time is 725 minutes^2.

Step-by-step explanation:

To solve this problem, we have to use the properties of the mean and the variance. Our random variable is the sum of 3 normal variables.

In the case, for the mean, we have that the mean of the sum of 3 normal variables is equal to the sum of the mean of the 3 variables:

y=x_1+x_2+x_3 \\\\E(y)=E(x_1+x_2+x_3)=E(x_1)+E(x_2)+E(x_3)\\\\E(y)=50+60+40=150

For the variance, we apply the property for the sum of independent variables (the correlation between the variables is 0):

V(y)=V(x_1)+V(x_2)+V(x_3)\\\\V(y)=s_1^2+s_2^2+s_3^2\\\\V(y)=15^2+20^2+10^2\\\\V(y)=225+400+100\\\\V(y)=725

8 0
3 years ago
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