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gulaghasi [49]
3 years ago
7

There were a total of 483 sheep and goats on the farm. When ⅔ of the sheep were sold, the number of the sheep left was equal to

¼ of the number of goats on the farm. How many sheep were sold?
Mathematics
2 answers:
ankoles [38]3 years ago
7 0

Answer:

its 14

Step-by-step explanation:

To convert 2/3 to decimal, divide the numerator by the denominator: 2 / 3 = 0.66666 ... 7, which you can round to 0.67. For example, to find 2/3 of 21: 0.67 * 21 = 14.07. Round to the nearest whole number: 14.

tia_tia [17]3 years ago
7 0

Answer:

322 sheep where sold

Step-by-step explanation:

step 1:  [1/3 of 483 = 161]

step 2: [1/3 + 1/3 = 2/3] aka [161 + 161 = 322]

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A chemist mixes a 10% hydrogen peroxide solution with a 25% hydrogen peroxide solution to create 30 liters of a 15% hydrogen per
lapo4ka [179]

20 liters I looked up the answer and did research on how to find it.

3 0
3 years ago
Read 2 more answers
Which situation represents a proportional relationship?
Natalka [10]

Answer:

B) Jack biked 5 miles in 25 minutes and 8 miles in 40 minutes.

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form y=kx

The ratio between the two variables is a constant called constant of proportionality k

k=y/x

<u><em>Verify each case</em></u>

A) Julie sold 4 necklaces for $12 and 9 necklaces for $25.

\frac{4}{12}=\frac{9}{25}

Multiply in cross

4(25)=9(12)\\100\neq108

Is not true

therefore

The situation not represent a proportional relationship

B) Jack biked 5 miles in 25 minutes and 8 miles in 40 minutes.

\frac{5}{25}=\frac{8}{40}

Multiply in cross

5(40)=8(25)\\200=200

Is true

therefore

The situation represent a proportional relationship

C) Larry packed 24 apples in 6 boxes and 46 apples in 9 boxes

\frac{24}{6}=\frac{46}{9}

Multiply in cross

24(9)=46(6)\\216\neq276

Is not true

therefore

The situation not represent a proportional relationship

D) Allie put 14 pieces of candy in 2 bags and 30 pieces of candy in 4 bags

\frac{14}{2}=\frac{30}{4}

Multiply in cross

14(4)=30(2)\\56\neq60

Is not true

therefore

The situation not represent a proportional relationship

7 0
3 years ago
In the 1990s the demand for personal computers in the home went up with household income. For a given community in the 1990s, th
WITCHER [35]

Answer:

a) 0.5198 computers per household

b) 0.01153 computers

Step-by-step explanation:

Given:

number of computers in a home,

q = 0.3458 ln x - 3.045 ;   10,000 ≤ x ≤ 125,000

here x is mean household income

mean income = $30,000

increasing rate, \frac{dx}{dt} = $1,000

Now,

a) computers per household are

since,

mean income of  $30,000 lies in the range of 10,000 ≤ x ≤ 125,000

thus,

q = 0.3458 ln(30,000) - 3.045

or

q = 0.5198 computers per household

b) Rate of increase in computers i.e \frac{dq}{dt}

\frac{dq}{dt} = \frac{d(0.3458 ln x - 3.045)}{dt}

or

\frac{dq}{dt}=0.3458\times(\frac{1}{x})\frac{dx}{dt} - 0

on substituting the values, we get

\frac{dq}{dt}=0.3458\times(\frac{1}{30,000})\times1,000

or

= 0.01153 computers

6 0
3 years ago
Enter the number that belongs in the green box
Brilliant_brown [7]

Answer:

1

Step-by-step explanation:

Hi!

First we need to translate 2 units down. That means we need to subtract 2 from the y value. So now we have (-1,1).

For a 270 degree counterclockwise rotation the rule is to go from (x,y) to (y,-x)

So now we have (1,1). Since they're only asking for the x value, the answer is 1.

6 0
3 years ago
Parallel lines e and f are cut by transversal b. What is the value of x? A.130 B.16 C.164 D.50
Gnesinka [82]

Answer:

A) 130

Step-by-step explanation:

(2x + 18) + y = 180 <--- Is True

(4x - 14) + y = 180 <--- Is True

(2x + 18) + y = y + (4x - 14)  

(2x + 18) = (4x - 14)

2x + 18 = 4x - 14

-2x + 18 = -14

   - 18    - 18

-2x = -32  

x = 16

2(16) + 18 = 50

4(16) - 14 = 50

180 - 50 = 130

4 0
4 years ago
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