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kolbaska11 [484]
3 years ago
6

A farmer has 32 goats and some cows in his farm. If the number of goats is 4/7 of the number of animals in total then how many c

ows and how many animals does the farmer have?
Mathematics
1 answer:
chubhunter [2.5K]3 years ago
7 0

Answer:

Goats: 32

Cows: 24

Animals: 56

Step-by-step explanation:

Using a proportion, equivalent ratios, you can use the number of goats to find the total number of animals and then the number of cows:

\frac{goats}{animals}=\frac{4}{7}=\frac{32}{x}, where 'x' represents the total number of animals

Cross-multiply: 4x = (32)(7) or 4x = 224

Divide: 4x/4 = 224/4 or x = 56

Total number of animals = 56

Number of goats: 32

Number of cows: 56 - 32 = 24

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Over the last three evenings, Mary received a total of 116 phone calls at the call center. The third evening, she received 3 tim
Tanya [424]
<h2>Answer:</h2>

First day - 25 calls

Second day - 16 calls

Third day - 75 calls

<h2>Step-by-step explanation:</h2>

You need to set variables and create system of equations first.

First evening=  x

Second evening= y

Third evening = z

x+y+z=116

z=3x

y=x-9

Now you plug in the values into the equation x+y+z=116

x+(x-9)+(3x)=116

5x-9=116

5x=125

x=25

You plug in the value of x into the other equations.

x= 25

z= 3*(25)=75

y=(25-9)=16

Rearrange so it corresponds with days...

First day - 25 calls

Second day - 16 calls

Third day - 75 calls

5 0
3 years ago
Read 2 more answers
Need some math help. I tried but I’ve already done over fifty questions. Thanks!
DENIUS [597]

Answer:

6a

Step-by-step explanation:

  AB = √[(3a - -3a)² + (0)²]

⇒ AB = √[(3a + 3a)² + (0)²]

⇒ AB = √[(6a)² + (0)²]

7 0
2 years ago
4. For the expression below you are allowed to put in as many or as few brackets as you like. What
hichkok12 [17]

Answer:

-1

Step-by-step explanation:

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8 0
4 years ago
A hardware store mixes paints in a ratio of three parts blue to five parts red to make two gallons of cabbage red . A ratio of s
Anna71 [15]
3b+5r=2 gallons of cabbage red
1r+7b=2gallons of egplant

1 gallon of cabbage sells for 22 (means 2 gallos is 44)
1 gallon of egplant is 26 (means 2 gallons is 52)

3b+5r=44
r+7b=52

r+7b=52
miinus 7b from both sides
r=52-7b
sub 52-7b for r in othe equestion
3b+5(52-7b)=44
3b+260-35b=44
-32b+260=44
minus 260 from both sides
-32b=-216
divide both sides by -32
b=6.75

r=52-7b
r=52-7(6.75)
r=52-47.25
r=4.75


3blue+5r=2gallons
5+3=8
8units=2gallons
 4units=1gallon
1unit=1quart

therefor

1 quart of blue paint is $6.75
1 quart of red paint is $4.75
5 0
4 years ago
a plant is measured at 10 millimeters. it grows 3 millimeters per month.how tall is the plant after 8 mothers?after 3 years.
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The plant will be 34 millimeters after 8 months and 118 millimeters after 3 years. I solved this using the formula y=10+3x, where you are solving for y. You would replace x with the number of months and then solve.
6 0
3 years ago
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