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levacccp [35]
3 years ago
15

12 = 3(m - 17) Help please. You have to use distributive property to solve.

Mathematics
1 answer:
dimaraw [331]3 years ago
3 0

Answer:

m = 21

Step-by-step explanation:

12 = 3(m - 17)

12 = 3m - 51 (Found using the distributive property)

63 = 3m (Found by adding 51 to both sides)

21 = m (Found by dividing both sides by 3)

Hope this helps :)

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Farmer Fran has 38 barnyard animals consisting of only chickens and goats. If these animals have 116 legs how many of each type
musickatia [10]

Answer: There are 20 goats and 18 chikens.

Step-by-step explanation:

Hi, to answer this question we have to write a system of equations:

If the number of chickens is represented by C, and the number of goats is G.

Total of Animals equation:

a)C+ G = 38

Total of legs equation (since chickens have 2 legs and goats have 4 ):

b)2C + 4 G =116

If we multiply a) by 2 and subtract a) from b).

<em>2C + 4 G =116 </em>

<em>- </em>

<em>2C + 2 G =76 </em>

<em>_________ </em>

<em>2G = 40 </em>

  • Solving for G:

G = 40/2

G= 20

Replacing the value of G on any equation:

a) C+ (20) =38

  • Solving for C

C =38-20

C=18

There are 20 goats and 18 chickens.

7 0
3 years ago
Please help me solve this question<br>4x+6&lt;-6
stiks02 [169]
4x + 6 < -6
subtract 6 from both sides
4x < -12
divide 4 on both sides
x < -3
7 0
4 years ago
1 divided by 20 use the decimal equivalent for 1/20
Salsk061 [2.6K]
The equivalent would be .05
6 0
3 years ago
Read 2 more answers
What is the gcf of 3/7 and 4/9?
LiRa [457]

Answer:

  1/63

Step-by-step explanation:

There are a couple of ways to do this.

<h3>1) </h3>

Look for the GCF of the numerators when a common denominator is used.

  GCF(3/7, 4/9) = GCF(27/63, 28/63) = (1/63)·GCF(27, 28)

  GCF(3/7, 4/9) = 1/63

__

<h3>2) </h3>

Use Euclid's algorithm. If the remainder from division of the larger by the smaller is zero, then the smaller is the GCF; otherwise, the remainder replaces the larger, and the algorithm repeats.

  (4/9)/(3/7) = 1 remainder 1/63*

  (3/7)/(1/63) = 27 remainder 0

The GCF is 1/63.

__

* The quotient is 28/27 = 1 +1/27 = 1 +(1/27)(3/7)/(3/7) = 1 +(1/63)/(3/7) or 1 with a remainder of 1/63.

_____

<em>Additional comment</em>

3/7 = (1/63) × 27

4/9 = (1/63) × 28

3 0
3 years ago
Write these numbers in order from least to greatest <br> 0.65, 2/3, 3/5 , 0.5
svp [43]

Answer:

<h2>0.5, 3/5, 0.65, 2/3</h2>

Step-by-step explanation:

Convert the fractions to the decimals (you can use the calculator):

2/3 = 2 : 3 = 0.6666...

3/5 = 3 : 5 = 0/6

We have

0.65

0.666...

0.6

0.5

The order from least to greatest:

0.5

0.6

0.65

0.666..

\begin{array}{c|c|c|c|c}0&.&5\\0&.&6\\0&.&6&5\\0&.&6&6&6...\end{array}

8 0
3 years ago
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