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mafiozo [28]
4 years ago
10

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

ter spent $221.50 caring for birds and cats on Wednesday. Wyatt found a record showing that there were a total of 35 birds and cats on Wednesday. How many birds were at the shelter on Wednesday?
Mathematics
1 answer:
rodikova [14]4 years ago
7 0

Answer:

16cats and 19 birds

Step-by-step explanation:

if we say that x is birds and y is cats we can say that:

4.5x+8.5y=221.5 ( the amount birds and cat both need)

y+x =35 (number of cats and cats)

x=35-y

4.5(35-y) +8.5y= 221.5

157.5-4.5y +8.5y =221.5

4y=64

y= 16

16+x=35

x=19

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Andrew must spend less than 53$ on meals during the weekend. he has already spent 21$ on meals costing 8$ average. how many addi
Shkiper50 [21]

Andrew can buy maximum 3 meals this weekend.

From given question,

Andrew must spend less than 53$ on meals during the weekend.

He has already spent 21$ on meals costing 8$ average.

Let x, the number of meals

So, we get an inequality,

8x + 21 < 53

We need to find the number of meals he can buy this weekend.

From above inequality,

⇒ 8x + 21 < 53

⇒ 8x < 53 - 21

⇒ 8x < 32

⇒ x < 4

This means, from 1 to 3 meals.

Therefore, Andrew can buy maximum 3 meals this weekend.

Learn more about an inequality here:

brainly.com/question/19003099

#SPJ4

3 0
2 years ago
Ratio Question;
SashulF [63]

*Given

Money of Phoebe            - 3 times as much as Andy

Money of Andy                - 2 times as much as Polly

Total money of Phoebe,  - £270

   Andy and Polly

*Solution

Let

B - Phoebe's money

A - Andy's money

L - Polly's money

1. The money of the Phoebe, Andy, and Polly, when added together would total £270. Thus,

                 B + A + L  = £270                     (EQUATION 1)

2. Phoebe has three times as much money as Andy and this is expressed as

 

                 B = 3A

3. Andy has twice as much money as Polly and this is expressed as

                 A = 2L                           (EQUATION 2)

4. This means that Phoebe has ____ as much money as Polly,

                B = 3A

                B = 3 x (2L)

                B = 6L                            (EQUATION 3)

This step allows us to eliminate the variables B and A in EQUATION 1 by expressing the equation in terms of Polly's money only.

5. Substituting B with 6L, and A with 2L, EQUATION 1 becomes,

                 6L + 2L + L = £270

                               9L = £270

                                 L = £30

So, Polly has £30.

6. Substituting L into EQUATIONS 2 and 3 would give us the values for Andy's money and Phoebe's money, respectively.

                 A = 2L                          

                 A = 2(£30)

                 A = £60

Andy has £60

                 B = 6L                        

                 B = 6(£30)

                 B = £180

Phoebe has £180

Therefore, Polly's money is £30, Andy's is £60, and Phoebe's is £180.

3 0
3 years ago
Mr. Stokes bought 6 1/2 pounds of meat for a party. He used 2 1/4 pounds of meat to make tacos. The rest he used to make 1/4 pou
krok68 [10]

9514 1404 393

Answer:

  17

Step-by-step explanation:

The remaining amount of meat is ...

  6 1/2 - 2 1/4 = 4 1/4 = 17/4 . . . pounds

The number of 1/4 pound burgers that can be made with that amount of meat is ...

  (17/4)/(1/4) = 17/1 = 17

Mr. Stokes made 17 burgers.

6 0
3 years ago
Andrew McCutchen hit 18 homeruns in 9 baseball games. At this rate, how many homeruns will he have hit
Feliz [49]

Answer:

if it's 18 home runs in 9 baseball games

then you're dividing 18 by 9 which is 2 home runs for every 9 baseball games

to prove if you're right (9×2=18)

if it's 11 baseball games then 11×2=22

Hope It Helps ☺️

6 0
3 years ago
The base of a triangle is 4cm longer than the altitude and it’s area is 16cm^2. Find the length of the base and the altitude [Pl
Rina8888 [55]

Answer:

The base = 8 cm and the altitude = 4 cm.

Step-by-step explanation:

b = a + 4  where b = base and a = the altitude.

Area = 1/2 * a * b = 16

Area = 1/2 * a * (a + 4) = 16

1/2 a^2 + 2a = 16

a^2 + 4a - 32 = 0

(a + 8)(a - 4) = 0

a = 4 .

b = 4+4 = 8.

8 0
3 years ago
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