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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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One number is 6 more than a second number, the sum of the two numbers is 330. what are the numbers?
maksim [4K]

Let's have the first number, the larger number, be <em>x</em>.  We'll have the second, smaller number be <em>y</em>.

We know that x = y + 6, since x is 6 greater than y.

We also know that 330 = x + y.

Because x = y + 6, 330 = y + 6 + y, which simplifies to 330 = 2y + 6.

Now all we need to do is simplify the equation.  First, we subtract 6 from both sides:

330 - 6 = 324

2y + 6 - 6 = 2y.

So we have 324 = 2y.  Then we divide both sides by 2 to get:

162 = y

Plug in y = 162 into the equation x = y + 6 to get:

x = 162 + 6

x = 168

Let's check to make sure our answer is right.  168 is 6 more than 162.  162 + 168 equals 330.  So our two numbers are 168 and 162.

7 0
3 years ago
Which pair of numbers has a product of -24 and a sum of 10?
muminat

Answer:

-2;12

Step-by-step explanation:

it's too easy!

6 0
3 years ago
Read 2 more answers
Of the cars sold during the month of July, 89 had air conditioning, 99 had an automatic transmission, and 74 had power steering.
DedPeter [7]

Answer:

There are a total of 23 cars with air conditioning and automatic transmission but not power steering

Step-by-step explanation:

Let A be the cars that have Air conditioning, B the cars that have Automatic transmission and C the cars that have pwoer Steering. Lets denote |D| the cardinality of a set D.

Remember that for 2 sets E and F, we have that

|E \cup F| = |E| + |F| - |E \cap F|

Also,

|E| = |E ∩F| + |E∩F^c|

We now alredy the following:

|A| = 89

|B| = 99

|C| = 74

|A \cap B \cap C| = 5

|(A \cup B \cup C)^c| = 24

|A \ (B U C)| = 24 (This is A minus B and C, in other words, cars that only have Air conditioning).

|B \ (AUC)| = 65

|C \ (AUB)| = 26

|B \cap C| = 11

We want to know |(A∩B) \ C|. Lets calculate it by taking the information given and deducting more things

For example:

99 = |B| = |B ∩ C| + |B∩C^c| = 11 + |B∩C^c|

Therefore, |B∩C^c| = 99-11 = 88

And |A ∩ B ∩ C^c| = |B∩C^c| - |B∩C^c∩A^c| = |B∩C^c| - |B \ (AUC)| = 88-65 = 23.

This means that the amount of cars that have both transmission and air conditioning but now power steering is 23.

3 0
3 years ago
In the equation y=ab^(x-h) +k how does the value of k affect the graph
Ainat [17]

Answer:

  • if k > 0 then the graph of the given equation will get shifted upward by k units.
  • if k< 0 then the graph of the given equation will get shifted downward by k units.

Step-by-step explanation:

We have been given the equation  y=ab^(x-h) +k and we have to state that how the value of k affect the graph.

We know that if we add/subtract some constant in the function value then the translation of the parent graph occurs in the vertical direction.

In other words, the parent graph either get shifted upward or downward depends on the value of the constant.

Therefore, we have

  • if k > 0 then the graph of the given equation will get shifted upward by k units.
  • if k< 0 then the graph of the given equation will get shifted downward by k units.
3 0
3 years ago
Read 2 more answers
Please help I got confused please please please please please please
Alexandra [31]
3 dogs and 1 duck.....
4 0
3 years ago
Read 2 more answers
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