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erastova [34]
2 years ago
13

If 2 1/4 pounds of bananas cost $1.89 what is the cost per pound

Mathematics
2 answers:
Nikitich [7]2 years ago
6 0
84 cents a pound divide 2 1/4 by 1.89 equals 0.84
mestny [16]2 years ago
6 0

Answer

Find out the what is the cost per pound .

To proof

Let us assume that the one banana cost be x.

As  given in the question

2\frac{1}{4}\ pounds\ of\ bananas\ cost\ $1.89

\frac{9}{4}  pounds\ of\ bananas\ cost\ $1.89

Than the equation becomes

x =\frac{1.89}{\frac{9}{4}}

solving

x =\frac{1.89}{2.25}

x = $0.84(approx)

Therefore the  cost of bananas per pound be $0.84(approx) .

Hence proved  


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Find the shortest side of a triangle whose perimeter is 64 if the ratio of two of its sides is 4:3 and the third side is 20 less
Sergio039 [100]

Answer:

The shortest side of the triangle is 18

Step-by-step explanation:

Let the sides the triangle be x, y and z.

From the question, the perimeter of the rectangle is 64, that is

x + y + z = 64 ...... (1)

Also, the ratio of two of its sides is 4:3, that is x:y = 4:3, then we can write that x/y = 4/3 ⇒ 3x = 4y ...... (2)

The third side, z, is 20 less than the sum of the other two, that is

z + 20 = x + y ...... (3)

Substitute equation (3) into (1)

Then,

z + 20 + z = 64

2z +20 = 64

2z = 64 - 20

2z = 44

z = 44/2 k

z = 22

From equation (3)

z + 20 = x + y

Then, k

22 + 20 = x +y

42 = x + y

x = 42 - y ...... (4)

Substitute this into equation 2

3x = 4y

3(42-y) = 4y

126 - 3y = 4y

4y + 3y = 126

7y = 126

y = 126/7

y = 18

Substitute this into equation (4)

x = 42 - y

x = 42 - 18

x = 24

∴ x = 24, y = 18 and z = 22

Hence, the shortest side of the triangle is 18.

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Write <br> 6<br> :<br> 9<br> :: <br> 2<br> :<br> 3<br> as a fraction proportion.
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What is<br> 15/100<br> as a percentage?
Lunna [17]

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15%

Step-by-step explanation:

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7 0
2 years ago
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if 1 inch represents 14 feet, what dimension would you use to make a scale drawing of a building 44 feet by 50
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8 0
3 years ago
Calvin works at a facility which processes apples. It costs the facility $0. 68 to make either a jar of applesauce or a bottle o
NNADVOKAT [17]

The number of bottles the facility requires to sell when it breaks is given by

a system of two simultaneous equations.

  • When the facility breaks even, it would have sold 7<u>7,579 bottles of apples juice</u>.

Reasons:

The cost to make a jar of applesauce or a bottle of apple juice = $0.68

Number of jars of applesauce to be sold foe every 2 bottles of apple juice = 3 jars

The selling price for a jar of applesauce = $2.20

Selling price for a bottle of apple juice = $3.15

Annual overhead cost excluding production cost = $368,500

Required: Number of bottles of apple juice sold by the facility when it breaks even annually.

Solution:

Let <em>J</em> represent the number of bottles of apple juice sold, and let <em>S</em> represent the number of jars of apple sauce, by excluding the production cost, we have;

(3.15 - 0.68)·J + (2.2 - 0.68)·S = 368,500

S : J = 3 : 2

Which gives;

\displaystyle \frac{S}{J} = \mathbf{ \frac{3}{2}}

\displaystyle S= \frac{3}{2} \cdot J

Therefore;

\displaystyle (3.15 - 0.68) \cdot J + (2.2 - 0.68) \cdot S = (3.15 - 0.68) \cdot J + (2.2 - 0.68) \cdot  \frac{3}{2} \cdot J = \mathbf{368,500}

Which gives;

\displaystyle  (3.15 - 0.68) \cdot J + (2.2 - 0.68) \cdot  \frac{3}{2} \cdot J = \mathbf{ \frac{19 \cdot J }{4} } =  368,500

\displaystyle  J  =   \frac{368,500 \times 4}{19}  = \frac{1474000}{19}=77578\frac{18}{19}  \approx 77,579

The number of bottles of apple juice sold, J ≈ <u>77,579 bottles</u>

Learn more about simultaneous equations here:

brainly.com/question/10724274

7 0
2 years ago
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