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Yanka [14]
3 years ago
5

An animal shelter spends $5.00 per day to care for each bird and $7.50 per day to care for each cat. Jayden noticed that the she

lter spent $247.50 caring for birds and cats on Wednesday. Jayden found a record showing that there were a total of 41 birds and cats on Wednesday. How many birds were at the shelter on Wednesday?
Mathematics
1 answer:
Vilka [71]3 years ago
7 0

Answer:

   24 birds

Step-by-step explanation:

Let b represent the number of birds at the shelter on Wednesday. Then the cost of care for the 41 animals is ...

  5b +7.5(41 -b) = 247.50

  -2.5b +307.50 = 247.50 . . . . . simplify

  -2.5b = -60 . . . . . . . . . . . . . . . . subtract 307.50

  b = 24 . . . . . . . . . divide by -2.5

The number of birds at the shelter on Wednesday was 24.

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Find the value of x.
Anastasy [175]

Answer:

6

Step-by-step explanation:

Because they are the same

8 0
3 years ago
Please explain how to solve step by step. Thank you.
Brut [27]

3x-2 = 5x-14

Subtract 3x from each side:

-2 = 2x -14

Add 14 to each side:

12 = 2x

Divide both sides by 2:

x = 12/2

x = 6

4 0
3 years ago
In a certain​ country, the true probability of a baby being a girl is 0.469. Among the next seven randomly selected births in th
-BARSIC- [3]

Answer:

The probability is 0.995 ( approx ).

Step-by-step explanation:

Let X represents the event of baby girl,

The probability of a baby being a girl is, p = 0.469,

So, the probability of a baby who is not a girl is, q = 1 - 0.469 = 0.531,

Also, the total number of experiment, n = 7

Thus, by the binomial distribution formula,

P(x)=^nC_x(p)^x q^{n-x}

Where, ^nC_x=\frac{n!}{x!(n-x)!}

The probability that all babies are girl or there is no baby boy,

P(X=7)=^7C_7(0.469)^7(0.531)^{7-7}

=0.00499125661758

Hence, the probability that at least one of them is a boy​ = 1 - P(X=7)

= 1 - 0.00499125661758

= 0.995008743382

≈ 0.995

8 0
3 years ago
Blank percent of 50 shirts is 35 shirts
kirill [66]

x\% \times 50 = 35 \\  \dfrac{x}{100}  \times 50 = 35 \\ x = 35 \div 50 \times 100 \\ x = 70

Answer check :
50 \times  \dfrac{70}{100}  \\  = 35

Answer : 70%

Hope this helps. - M
4 0
3 years ago
you plan to cover the entire surface area of a cylindrical dart board with cork. find the surface area of the dart board if the
Assoli18 [71]
So the amount needed=area of circle times height
area formula=pi times radius^2
height=3/4

so
pi=aprox 3.14
radius=7
3.14 times 7^2
3.14 times 49
153.86
times 3/4
115.395 in^3

answer is 115.4 cubic inches


5 0
3 years ago
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