1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Stells [14]
3 years ago
13

An animal shelter spends $2.00 per day to care for each cat and $7.00 per day to care for each dog. Brooklyn noticed that the sh

elter spent $82.00 caring for cats and dogs on Friday. Brooklyn found a record showing that there were a total of 26 cats and dogs on Friday. How many cats were at the shelter on Friday?
Mathematics
1 answer:
Oxana [17]3 years ago
3 0

Answer:

The number of cats at the shelter on Friday was 20.

Step-by-step explanation:

Hi there!

Let "x" be the number of cats and "y" the number of dogs.

The shelter spends $2 per cat and $7 per dog. If the total expenses on Friday was $82, then, two times the number of cats plus seven times the number of dogs is equal to 82:

2x + 7y = 82

We also know that the total number of cats and dogs was 26. Then, the number of cats plus the number of dogs is equal to 26:

x + y = 26

Let´s solve this equation for y and replace it in the first equation

y = 26 - x

Then:

2x + 7(26 - x) = 82

Apply distributive property:

2x + 182 - 7x = 82

Subtract 182 to both sides of the equation:

-5x = -100

divide both sides of the equation by -5

x = 20

The number of cats at the shelter on Friday was 20.

Have a nice day!

You might be interested in
18. A sports store keeps track of how many skateboards they sell each
babymother [125]

Answer:

Step-by-step explanation:

%change=100(final-initial)/initial

%change=100(228-302)/302

%change=100(-74)/302

%change=-24.5%

8 0
3 years ago
Which is the answer to this one?
sladkih [1.3K]
The answer is SAS we just finished this in Geometry
4 0
2 years ago
Law of sines: StartFraction sine (uppercase A) Over a EndFraction = StartFraction sine (uppercase B) Over b EndFraction = StartF
Firdavs [7]

The length 2.3 and 7.8 units

We have given that ΔABC, c = 5. 4, a = 3. 3, and measure of angle A = 20 degrees.

<h3>What is the formula for low of cosine?</h3>

The Law of Cosines, which tells us

a^{2}=b^{2} +c^{2} -2bccosA

giving us a quadratic equation for b we can solve.  But let's do it with the Law of Sines as asked.

\frac{sinA}{a}=\frac{sinB}{b}=\frac{sinC}{c}

We have c,a,A so the Law of Sines gives us sin C

sinC=\frac{csina}{a} =\frac{5.4sin20}{3.3} =0.5597

There are two possible triangle angles with this sine, supplementary angles, one acute, one obtuse

C_{a}=arcsin(0.5597)=34.033^{0}

C_{0}=180-C_{a}  =145.96^0

Both of these make a valid triangle with A=20°.   They give respective B's:

B_{a}=180-A-C_{a}  =125.96^0

B_{0}=180-C_{0}  =14.033^0

So we get two possibilities for b:

b=\frac{asinB}{sinA} \\\\b_{a} =\frac{3.3sin125.96}{sin 20} \\\\b_{a}=7.8\\\\ b_0=2.3

2.3 units and 7.8 units

Therefore we get the length 2.3 and 7.8 units

To learn more about the low of sine and cosine visit:

brainly.com/question/4372174

Answer: 2.3 units and 7.8 units

Let's check it with the Law of Cosines:

There's a shortcut for the quadratic formula when the middle term is 'even.'

Looks good.

4 0
2 years ago
If an item is 30% off and 350 how much is the original price
alisha [4.7K]
1.50 is your price
100%
3 0
3 years ago
Which is the graph of y = 5x + 5?
alexandr1967 [171]

Answer:

B

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • What is 6 2/3 x 2 1/2 if you answer you will get 35 poinst
    14·1 answer
  • Mrs. Byrne's class went raspberry picking. The data show the weights of the cartoons of raspberries the students picked. Make a
    15·1 answer
  • Rudy has been paying an annual homeowners insurance premium of $1,106.30 ($0.37 per $100 of value) since he first purchased his
    13·2 answers
  • The set of ordered pairs shown represents a function f. { (4, -2), (-1, -1), (0, 0), (1, -1), (4,2) } Select the ordered pair th
    5·1 answer
  • Help please hurry please
    5·1 answer
  • The art club had an election to select a president 3/4 of the 60 members of the club voted in the election
    5·1 answer
  • $240 was shared in the ratio of 2:3:1 by Jacob,
    6·1 answer
  • Express tan J as a fraction in simplest terms.<br> J<br> 34<br> K<br> L<br> 16
    7·1 answer
  • Help me! i will give brainilest to thnnswer!!!!!!!!!!1e correct a
    6·1 answer
  • Permutations and, combinations: problem type 2.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!