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Arlecino [84]
3 years ago
12

An animal shelter spends $3.00 per day to care for each bird and $8.50 per day to care for each cat. Kayla noticed that the shel

ter spent $123.00 caring for birds and cats on Tuesday. Kayla found a record showing that there were a total of 30 birds and cats on Tuesday. How many birds were at the shelter on Tuesday?
Mathematics
2 answers:
Lady bird [3.3K]3 years ago
8 0
$123 = ($3b + $8.50c)

b + c = 30

b = 24 birds ($72)
c = 6 cats ($51)

51+72=123

There were 24 birds at the shelter on Tuesday.
Irina-Kira [14]3 years ago
5 0
Thirty birds were at the shelter on Tuesday
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How do you divide $306 into the ratio of 9:5:3? Can someone give me some advice on how to solve this problem?
GarryVolchara [31]
In order to divide $306 into the ratio of 9 to 5 to 3, first you have to make each section of the ratio represented by a variable, and put it into an equation.

9x + 5x + 3x = 306

Our next step is to simplify the left side of the equation by combining all of the like terms, the ones that contain variables.

17x = 306

Finally, to solve this equation, you have to divide both sides by 17 to isolate the variable x on the left side of the equation.

x = 18

However, this is not our answer as it isn't in a ratio format and doesn't really make sense. To find our ratio, we have to multiply each of our initial numbers (9, 5, and 3) by our variable, x.

9 * 18 = 162
5 * 18 = 90
3 * 18 = 54

You can verify that these numbers are correct because if you add them together you get 306.

Your final ratio is 162:90:54.

Hope this helps! :)

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4 0
3 years ago
There are 18 boys on a football team. Of the team, 1/3 of the boys are 12 years-old. Of the 12 year-olds, 1/3 have never played
kakasveta [241]

Answer:

1/9

Step-by-step explanation:

1/3 *1/3 = 1/9

8 0
3 years ago
Carolyn paid a mechanic x dollars per hour for a 5 hour job plus $70 for parts. The total was $320. Which equation can be used t
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6 0
3 years ago
Read 2 more answers
An airplane flew with the wind for 2.5 hours and returned the same distance against the wind in 3.5 hours. If the cruising speed
KengaRu [80]

Answer:

60 miles per hour.

Step-by-step explanation:

Let r represent speed of wind blowing in miles per hour.          

We have been given that the cruising speed of the plane was a constant 360 mph in air. The speed of the plane is the direction of wind would be 360+r.

The speed of the plane is the opposite direction of wind would be 360-r.

\text{Distance}=\text{Speed}\times \text{Time}

Distance covered in the direction of wind would be 2.5(360+r).

Distance covered in the opposite direction of wind would be 3.5(360-r).

Since both distances are same, so we will get:

2.5(360+r)=3.5(360-r)

900+2.5r=1260-3.5r

900-900+2.5r+3.5r=1260-900-3.5r+3.5r

6r=360

\frac{6r}{6}=\frac{360}{6}

r=60

Therefore, the wind is blowing at a rate of 60 miles per hour.

6 0
3 years ago
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