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erastova [34]
3 years ago
13

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

Mathematics
2 answers:
Nikitich [7]3 years ago
6 0
84 cents a pound divide 2 1/4 by 1.89 equals 0.84
mestny [16]3 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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Which shows the solution in the inequality? -2x > 18
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Answer: x<-9

Step-by-step explanation:

-2x>18

-2x/(-2)<18/(-2)

x< -9

3 0
3 years ago
For the period 1997-2003, the number of eggs y (in billions) produced in the United States can be modeled by the function y=-0.2
Viktor [21]

Answer:

Part a) The approximate years were 1998 and 2008

Part b) The graph in the attached figure

Step-by-step explanation:

Part a) we have

y=-0.27x^{2}+3.3x+77

For y=80\ billion\ eggs

Solve the quadratic equation

80=-0.27x^{2}+3.3x+77

0.27x^{2}-3.3x+3=0

we know that

The formula to solve a quadratic equation of the form ax^{2} +bx+c=0 is equal to

x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}

in this problem we have

0.27x^{2}-3.3x+3=0

so

a=0.27\\b=-3.3\\c=3

substitute in the formula

x=\frac{3.3(+/-)\sqrt{-3.3^{2}-4(0.27)(3)}} {2(0.27)}

x=\frac{3.3(+/-)\sqrt{7.65}} {0.54}

x=\frac{3.3(+)\sqrt{7.65}} {0.54}=11.23\ years

x=\frac{3.3(-)\sqrt{7.65}} {0.54}=0.99\ years

therefore

The approximate years are

1997+11=2008

1997+1=1998

Part b)

Using a graphing tool

we have

y=-0.27x^{2}+3.3x+77

y=80

The solution of the system of equations is the intersection point both graphs

The intersection point are (0.99,80) and (11.23,80)

see the attached figure

therefore

The solution part a) is correct

3 0
3 years ago
Hcf or LCM
pogonyaev

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LCM and every 36 days

Step-by-step explanation:

7 0
2 years ago
A plastic sun visor allows light to pass through but reduces the intensity of the light. the intensity is reduced by 5% if the p
irinina [24]

Answer: The equation is f(x) = 0.95^{x};

The piece of plastic has to have 10mm of thickness.

Step-by-step explanation: It is known that with 1 mm of thickness, 5% of the intensity is reduced. So, 95% of the light is transmitted.

For each milimetre added, "more" 95% of light is transmitted.

For example, if another milimetre of plastic is added, another 0.95 of light is transmitted:

0.95.0.95 = 0.9025 of light reach the visor

So, the model that relate thickness of plastic and intensity of light is:

f(x) = 0.95^{x}

in which:

f(x) is the intensity of light;

x is thickness in mm;

Using the equation, the thickness necessary to reduce intensity to 60% is:

f(x) = 0.95^{x}

0.6 = 0.95^{x}

log 0.6 = log 0.95^{x}

x. log (0.95) = log (0.6)

x = \frac{log 0.6}{log 0.95}

x = 9.95

x ≈ 10

The thickness necessary to reduce intensity of light to 60% is 10mm.

6 0
3 years ago
Read 2 more answers
Use the compound interest formula to compute the total amount accumulated and the interest earned.
Dovator [93]
A=6,500×(1+0.07÷360)^(360×5)
A=9,223.63

Interest earned
9223.63-6500==2,723.63
4 0
3 years ago
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