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ValentinkaMS [17]
3 years ago
5

If a = b, then ac = bc. This is called the

Mathematics
2 answers:
raketka [301]3 years ago
6 0
Here you go examples

Viefleur [7K]3 years ago
3 0

Answer:

Transitive property of equality

Step-by-step explanation:

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At a farm, the average number of chickens, ducks, rabbits and sheep is 315 per type of animal. The average number of chickens, d
Greeley [361]

The average number of chickens, ducks, rabbits and sheep = 315 per type of animal.

The average number of chickens, ducks and rabbits = 320 per type of animal.

The number of sheep is 60 more than the number of rabbits.

Let us assume number of rabbits = x.

Number of sheep is 60 more than number of rabbits, that is = x+60.

There are half as many ducks as there are rabbits.

Therefore, number of ducks = x/2.

Let us assume number of chickens = y.

Adding  number of chickens, number of rabbits, number of sheep and number of ducks and dividing by 4 (because those are four types of animal).

\frac{y+x+x+60+x/2}{4}  = 315

Multiplying both sides by 4, we get

y+x+x+60+x/2 = 1260

Subtracting 60 from both sides

y+x+x+60-60+x/2 = 1260-60

y+x+x+x/2 = 1200.

Combining like terms .

y + 5x/2 = 1200

Multiplying both sides by 2, we get

<em>2y +5x = 2400  ------------equation (1)</em>

Adding  number of chickens, number of rabbits and number of ducks and dividing by 3 (because those are three types of animal).

\frac{y+x+60+x/2}{3}  = 320

Multiplying both sides by 3, we get

y+x+60+x/2 = 960

Subtracting 60 from both sides

y+ x+x/2 = 900

Combining like terms .

y+ 3x/2 = 900

Multiplying both sides by 2, we get

<em>2y+3x = 1800 --------------------equation (2)</em>

Multiplying first equation by 3 and second equation by -5, we get

(2y +5x = 2400 ) * 3   => 6y +15x = 7200

(2y+3x = 1800) *-5      =>

Adding

6y +15x = 7200

-10x + -15x = -9000.

_________________

-4y = -1800.

Dividing both sides by -4, we get

y=450.

<h3>Therefore, number of chickens are  450 there at the farm.</h3>


7 0
3 years ago
The radius of a circle is 5 feet. What is the circumference?
givi [52]
The answer is 31.42ft
7 0
2 years ago
Are the angles with the given measures complementary, supplementary, or neither?
posledela

the answer is neither because they just do look like they do but they don't because they are actually neither that's why it is so tricky.
8 0
3 years ago
A shopkeeper has corn flour and wheat flour. The ratio of the weight of the corn flour to the weight of the wheat flour is 3 : 5
astraxan [27]

Answer:

35 pounds

Step-by-step explanation:

To solve this, we can set up a proportion.

Let's name the weight of the wheat flour "x."

3/5=21/x

Cross multiply to solve.

3*x=5*21

3x=105

x=35

The weight of the wheat flour is 35 pounds.

3 0
3 years ago
Find the solution to the system of equations.<br><br> y = -4x - 3 and y = x + 3
I am Lyosha [343]

Answer:

x=-y+3/4

second one x=y-3

Step-by-step explanation:

5 0
3 years ago
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