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3 years ago

Which situation could be represented by the function f(x)=20x

Mathematics

1 answer:

vova2212 [387]3 years ago

3 0

Answer:

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Step-by-step explanation:

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Justin got a sack of Jelly beans in 5 different colors. Half if them were red,1/6 were green,1/6 were yellow,1/12 were orange, a

Mrrafil [7]

Answer:

Total number of Jelly beans in the sack = 72

Number of red beans = 36

Number of green beans = 12

Number of yellow beans = 12

Number of orange beans = 6

Number of black beans = 6

Step-by-step explanation:

Let total number of jelly beans be = $x$

We are given fractions of different colors of beans. To find the exact number of beans we need to multiply the fraction with the total number of beans.

Fraction of total are red beans = $\frac{1}{2}$

Number of red beans = $\frac{1}{2}\times x= \frac{x}{2}$

Fraction of total are green beans = $\frac{1}{6}$

Number of green beans = $\frac{1}{6}\times x= \frac{x}{6}$

Fraction of total are yellow beans = $\frac{1}{6}$

Number of yellow beans = $\frac{1}{6}\times x= \frac{x}{6}$

Fraction of total are orange beans = $\frac{1}{12}$

Number of orange beans = $\frac{1}{12}\times x= \frac{x}{12}$

Number of black beans = 6

Total number of beans can be given as

$\frac{x}{2}+\frac{x}{6}+\frac{x}{6}+\frac{x}{12}+6$

Since we assumed total number of beans to be $x$ , so we have.

$\frac{x}{2}+\frac{x}{6}+\frac{x}{6}+\frac{x}{12}+6=x$

Multiplying each term by 12 to remove fractions.

$(12\times\frac{x}{2})+(12\times\frac{x}{6})+(12\times\frac{x}{6})+(12\times\frac{x}{12})+(12\times6)=12\times x$

$6x+2x+2x+x+72=12x$

combining like terms.

$11x+72=12x$

Subtracting both sides by $11x$

$11x+72-11x=12x=11x$

$72=x$

∴ $x=72$

Total number of Jelly beans in the sack = 72

Number of red beans = $\frac{1}{2}\times 72= 36$

Number of green beans = $\frac{1}{6}\times 72= 12$

Number of yellow beans = $\frac{1}{6}\times 72= 12$

Number of orange beans = $\frac{1}{12}\times 72= 6$

number of black beans = 6

8 0

3 years ago

A retailer sells a refrigerator for a list price of $1,200. The retailers cost was $850. What is the percentage of the markup?

matrenka [14]

Answer:

41%

Step-by-step explanation:

1200-850=350

350 is the markup, now we need the percentage

the orginal price was 850 so we just need to divide 350 by 850

we get 0.4117...

convert that to a percentage and we have 41% markup

8 0

2 years ago

A number with one or more digits to the right of the point

Vikki [24]

When you say right of the point do you mean the positive side? If you are it can be 1,2,3,4,5,6,7,8,9,10.........

6 0

3 years ago

Two welders worked a total of 46 h on a project. One welder made $34/h, while the other made $39/h. If the gross earnings of the

Ratling [72]

Answer:

25 and 21 hours respectively

Step-by-step explanation:

Let the number of hours worked by each welder be x and y respectively.

They worked a total of 46 hours. This means :

x + y = 46 hours.......(I)

Now, given their hourly charges, since we have the total amount of money realized, we can make an equation out of it. This means:

34x + 39y = 1669........(ii)

We then solve both simultaneously. From I, x = 46 -y

We can substitute this into ii

34(46 -y) + 39y = 1669

1564 -34y + 39y = 1669

5y = 1669 - 1564

5y = 105

y = 105/5 = 21

x = 46 - y

x = 46 - 21 = 25 hours

The numbers of hours worked by the welders are 25 and 21 respectively

4 0

2 years ago

Is the question asking to see if x = 1, y=-2, and z=2 by solving the three equations?

dybincka [34]

Answer:

2 × 1 +2 +2×2 =8

2+2+4=8

8=8

3×1 +3× -2 + 4×2 =5

3-6+8=5

5=5

1+2 × -2 +2 = -5

1-4+2= -5

-5 = -5

6 0

2 years ago