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Shalnov [3]
3 years ago
9

The ratio of students who own a.car to those who own a dog is 4.3. If 36 students own dogs, how many students own cats?

Mathematics
1 answer:
kykrilka [37]3 years ago
6 0

Answer:

A. 48

Step-by-step explanation:

cat/dog= 4/3

4/3=x/36

x= 36*4/3= 48

Option A. 48

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The first and last terms of a 10-term arithmetic series are listed in the table. What is the sum of the series?
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Can someone please take me step by step to find x?
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Distribute the negative sign:
-7x -4 - 2x + 2 = 52

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frozen [14]

Answer:

a. Required system of equations is:

c+p = 10

5c+4p = 46

b. 6 cakes were sold

Step-by-step explanation:

Let p be the number of pies and c be the number of cakes.

Then according to given statement " the store sold 10 baked goods"

c+p = 10\ \ \ Eqn\ 1

And

"A cake costs $5 and a pie costs $4"

5c+4p = 46\ \ \ \ Eqn\ 2

Using equation 1,

c=10-p

Putting this value of c in equation 2:

5(10-p)+4p = 46\\50-5p+4p = 46\\-p = 46-50\\-p = -4\\p = 4

Putting p = 4 in equation 1

c+4 = 10\\c = 10-4\\c =6

Hence,

a. Required system of equations is:

c+p = 10

5c+4p = 46

b. 6 cakes were sold

7 0
3 years ago
What is the distance between 5,4 and -1,1
spayn [35]

Answer:

3\sqrt{5}

Step-by-step explanation:

Calculate the distance d using the distance formula

d = \sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2    }

with (x₁, y₁ ) = (5, 4) and (x₂, y₂ ) = (- 1, 1)

d = \sqrt{(-1-5)^2+(1-4)^2}

   = \sqrt{(-6)^2+(-3)^2}

   = \sqrt{36+9}

   = \sqrt{45}

   = 3\sqrt{5} ← exact value

   ≈ 6.71 ( to 2 dec. places )

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