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Tems11 [23]
2 years ago
13

A pet store sells puppies and kittens in the ratio 5 : 4 . If their sales of puppies and kittens combined came to 27, how many p

uppies did they sell?
Mathematics
2 answers:
Anika [276]2 years ago
4 0

Answer:

15 puppies

Step-by-step explanation:

A pet store sells puppies and kittens in the ratio 5 : 4

As per the ratio, total puppies and kittens is 5+4= 9

If their sales of puppies and kittens combined came to 27

The ratio of puppies to the total is 5:9

LEt x be the puppies sold

RAtio of puppies sold to the total is x: 27

Now make a proportion using the ratio and solve for x

\frac{5}{9} =\frac{x}{27}

cross multiply it

135=9x

Divide both sides by 9

x=15

S, 15 puppies

dimulka [17.4K]2 years ago
3 0
So puppies will be 5x and Kittens 4 x so they combined will be 5x+4x=27
9x=27
X=3
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Point A bisects LS BC. If LS BA=6x-3 and LS AC= 3x+7. Solve for X. PLS ANSWER QUICKLY!!!
denis23 [38]

Based on the bisection of line BC by point A, the value of x is 10/3

<h3>How to determine the value of x?</h3>

The given parameters are:

  • Point A bisects BC
  • BA = 6x - 3
  • AC= 3x + 7

Because the point A bisects BC, then

BA = AC

Substitute the known values in the above equation

So, we have

6x - 3 = 3x + 7

Collect the like terms

6x - 3x = 3 + 7

Evaluate the like terms

3x = 10

Divide both sides of the equation by 3

x = 10/3

Hence, based on the bisection of line BC by point A, the value of x is 10/3

Read more about bisectors at:

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1 year ago
How do you increase 429 Grams by 31%
Papessa [141]
If you want to increase something by 31% then...

100%+31%=131% or 1.31

you multiply it by 131% or 1.31. So for 429 grams...

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8 0
3 years ago
Solve the following system of equations<br>2x – 3y = 6<br>4x+2y=4​
FinnZ [79.3K]

Answer:

\boxed{(\frac{3}{2} ,-1)}

Step-by-step explanation:

\left \{ {{2x-3y=6} \atop {4x+2y=4}} \right.

It seems this system of equations would be solved easier using the elimination method (the x and y values are lined up).

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2x-3y=6 \rightarrow -4x+6y=-12

Now line up the equations (they are already lined up - convenient) and add them from top to bottom.

\left \{ {{-4x+6y=-12} \atop {4x+2y=4}} \right.

The -4x and 4x are opposites, so they cancel out.

Adding 6y and 2y gives you 8y, and adding -12 and 4 gives you -8.

8y=-8

Divide both sides by 8.

y=-1

Since you have the y-value you can substitute this in to the second (or first equation, it doesn't necessarily matter) equation.

4x +2(-1)=4

Simplify.

4x -2=4

Add 2 to both sides.

4x=6

Divide both sides by 4.

x=\frac{6}{4} \rightarrow\frac{3}{2}

The final answer is x=\frac{3}{2} ,~y=-1.

(\frac{3}{2} ,-1)

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