The senior class at Bay High School buys jerseys to wear to the football games.
The cost of the jerseys can be modeled by the equation C = 0.1x^2+ 2.4x + 25,
where is the amount it costs to buy x jerseys. How many jerseys can they purchase for $430?

Answers

Answer 1

Answer:

52 jerseys

Step-by-step explanation:

Equate the equation to 430; 430 = 0.1x^2 + 2.4x + 25

I used calculator for this part, shift + solve (it depends on ur calcu)

And I got 52.761. Since you cannot have .761 jersey I rounded it down.

Answer 2

52 jerseys can be bought with $430.

What is a quadratic equation?

'A quadratic equation is an algebraic equation of the second degree in x.'

According to the given problem,

430 = [tex]0.1x^{2} +2.4x +25[/tex]

Subtracting 25 from both sides,

[tex]405 = 0.1x^{2} + 2.4x[/tex]

Dividing both sides by 0.1,

[tex]4050 = x^{2} +24x[/tex]

Adding 144 to both sides,

[tex]4050 + 144 = x^{2} + 24x + 144[/tex]

⇒[tex]\sqrt{4194} = \sqrt{(x + 12)^{2} }[/tex]

Subtracting 12 from both sides,

⇒ [tex]x = -12 ± \sqrt{4194}[/tex]

Hence, we can conclude that x is 52, since we can only use a positive value for this problem.

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Related Questions

help me please! needed ASAP​

Answers

(x + 4) / (3x) - 5 / (2x)

= 2 (x + 4) / (6x) - 15 / (6x)   ………   multiply the first fraction by 3/3 and the second by 2/2 to get a 6 in both denominators

= (2 (x + 4) - 15) / (6x)   ………   combine the fractions

= (2x - 7) / (6x)   ………   simplify the numerator

so a = 2, b = -7, and c = 6.

Please help asap with a correct answer and explaining thank you:)))

Answers

Answer:

1.25

Step-by-step explanation:

The numbers on the left are divided by 4 to get the numbers on the right

100/4  = 25

So 5/4 = 1.25

Can someone help me please

Answers

Answer:

No, the sum of the two smaller sides, must be larger than the third.

Step-by-step explanation:

Please only answer if you know the correct answers (geometry translations)

Answers

1. Is a translation up 3 and left 7 or subtract 7 from the x coordinate

I need help with this​

Answers

Answer:

x, y, and z I think that is it

Answer:

U CAN DO THIS !!!!!

Step-by-step explanation:

у = х + 4
3х — 4у = - 19

Answers

Answer:

x=3

y=7

Step-by-step explanation:

3x-4(x+4)=-19

3x-4x-16=-19

-x-16=-19

+16. +16

________

-x=-3

×-1 ×-1

______

x=3

y=3+4

y=7

What is the difference between the median and the range in the data set shown below?

Answers

The median is the middle number Ex: 1,4,5,6,7 5 would be the median
The range is the difference between the lowest and highest
Ex: 1,4,5,6,7 7-1=6 so 6 would be the range

Hope this helps

Have a great day/night

Answer:

1,4,5,6,7 7-1=6 so 6 would be the range

1,4,5,6,7 5 would be the median

Step-by-step explanation:

Which expression represents the expression 20 x − 10 20 ⁢ x - 10 after it has been factored completely? A. 2 ( 10 x − 5 ) 2 ⁢ ( 10 ⁢ x - 5 ) B. 2 ( 2 x − 1 ) 2 ⁢ ( 2 ⁢ x - 1 ) C. 10 ( 20 x − 10 ) 10 ⁢ ( 20 ⁢ x - 10 ) D. 10 ( 2 x − 1 ) 10 ⁢ ( 2 ⁢ x - 1 )

Answers

Answer:

A. 2 ( 10 x − 5 )

D. 10 ( 2 x − 1 )

Step-by-step explanation:

Given expression:

20x − 10

Find the equivalent expression

Check all that applies

A. 2 ( 10 x − 5 )

= 20x - 10

B. 2 ( 2 x − 1 )

= 4x - 2

C. 10 ( 20 x − 10 )

= 200x - 100

D. 10 ( 2 x − 1 )

20x - 10

The correct options are

A. 2 ( 10 x − 5 )

D. 10 ( 2 x − 1 )

The math term for the word wavelength is period. Describe the connection between the science term of wavelength and the math term of period.

Answers

Wavelength, period and frequency are closely related to each other. By definition, wavelength is just the distance between two identical points in the adjacent cycles of a wave, and period is the time it takes to complete one cycle of the wave. Frequency is then the number of cycles in a second. Hope this helps

The relation between wavelength and period of a wave is explained in the solution.

What is a wavelength?

Wavelength is a characteristic of a wave that measures the distance between two points or particles that have the same phase of oscillation.

The relation between wavelength and period of a wave :-

In one period of a wave, one full cycle (peak through valley

and back to peak) passes by.

That means that the wave has moved by one wavelength.

Since speed is distance traveled / time spent, and a wave

moves a distance of one wavelength in a time of one

period, its speed must be:

speed = distance / time = wavelength / period

v = λ / p

We more often use frequency = 1 / period. Then:

speed = wavelength x frequency

v = λ x f

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Factsss i be scared as hell to be in front of the classroom but when we at a dance or we go out to party...we be doin all kinds of crazy shii​

Answers

Answer:

that do be true tho

Step-by-step explanation:

Answer:

shii, I can throw it back and still have straight A's

Step-by-step explanation:

best of both worlds...

A 70-inch pipe is cut into two pieces, One piece is four times the length of the other. Find the length of
the shorter piece

Answers

Answer: 14 inches

Step-by-step explanation:

If one is 4 times the length of the other, then you'll have to divide by 5 because that's how many times there are in total. So 70/5 would be 14 which is the length of the smaller one. 70-14= 56 which is the length of the normal one.

GIVING BRAINLESS TELL ME HOW U DID IT I NEED ANSWER ASAP

Answers

Answer:

132-110(the original price)= 22

Step-by-step explanation:

114+18=132

Because you would add 20% to 100% which makes it 120% and then you would solve like any other percent. Thus getting 110 as the original price.

Help please please please please please pleas

Answers

Answer:

there is no pic

Step-by-step explanation:

Answer:?

Step-by-step explanation:

?

Please help 30 points!!!
A ladder is leaning against a building so that the top of the ladder is touching the roof line. The bottom of the ladder is 9 feet from the building and the ladder is 41 feet long. How far is the roof line from the ground? Enter your answer in the box.

Answers

Answer:

wouldnt it be 41 ft beacuse from the roof line to the ground its 4ft so the nswer

would meStep-by-step explanation:

Answer: 40 ft.

Step-by-step explanation:

I got it right on the test


All four B points are equidistant from points A and C. Are they all midpoints of AC? Justify your answer.

Answers

Answer:

No

Step-by-step explanation:

For a point to be the midpoint of a line segment, it must bisect it into two equal segments and be on the line segment (hence, colinear with the endpoints). All four B points are equidistant from points A and C, but aren’t colinear with A and C. Therefore, they aren’t all midpoints of line segment AC.

I hope this helps! :)

A particle moves on the hyperbola xy=18 for time t≥0 seconds. At a certain instant, y=6 and dydt=8. What is x that this instant?

Answers

Answer:

The value of x at this instant is 3.

Step-by-step explanation:

Let [tex]x\cdot y = 18[/tex], we get an additional equation by implicit differentiation:

[tex]x\cdot \frac{dy}{dt}+y\cdot \frac{dx}{dt} = 0[/tex] (1)

From the first equation we find that:

[tex]x = \frac{18}{y}[/tex] (2)

By applying (2) in (1), we get the resulting expression:

[tex]\frac{18}{y}\cdot \frac{dy}{dt}+y\cdot \frac{dx}{dt} = 0[/tex] (3)

[tex]y\cdot \frac{dx}{dt}=-\frac{18}{y}\cdot \frac{dy}{dt}[/tex]

[tex]\frac{dx}{dt} = -\frac{18}{y^{2}} \cdot \frac{dy}{dt}[/tex]

If we know that [tex]y = 6[/tex] and [tex]\frac{dy}{dt} = 8[/tex], then the first derivative of x in time is:

[tex]\frac{dx}{dt} = -\frac{18}{6^{2}} \cdot (8)[/tex]

[tex]\frac{dx}{dt} = -4[/tex]

From (1) we determine the value of x at this instant:

[tex]x\cdot \frac{dy}{dt} = -y\cdot \frac{dx}{dt}[/tex]

[tex]x = -y\cdot \left(\frac{\frac{dx}{dt} }{\frac{dy}{dt} } \right)[/tex]

[tex]x = -6\cdot \left(\frac{-4}{8} \right)[/tex]

[tex]x = 3[/tex]

The value of x at this instant is 3.

The value of [tex]x[/tex] at the instant when particle moves on the hyperbola [tex]xy=18[/tex] from time [tex]t\geq 0\;\rm seconds[/tex] is [tex]3[/tex].

Differentiating the given equation  [tex]xy=18[/tex] with respect to the [tex]'t'[/tex] to get an addition equation by  implicit differentiation,

[tex]x\dfrac{dy}{dt}+y\dfrac{dx}{dt}=0----(i)[/tex]

Also, from the given equation, we can write [tex]x=\dfrac{18}{y}[/tex]

Substitute the value of [tex]x[/tex] in the equation (i), we get

[tex]\begin{aligned}\dfrac{18}{y}\dfrac{dy}{dt}+y\dfrac{dx}{dt}&=0\\\dfrac{dx}{dt}&=-\dfrac{-18}{y^2}\dfrac{dy}{dt}\end{aligned}[/tex]

Substitute the value of [tex]y=6[/tex] and [tex]\dfrac{dy}{dt}=8[/tex] in the above equation, we get

[tex]\begin{aligned}\dfrac{dx}{dt}&=-\dfrac{-18}{y^2}\dfrac{dy}{dt}\\&=\dfrac{-18}{6^2}\times 8\\&=-4\end{aligned}[/tex]

Now, from equation (i), we can re-write the expression to evaluate the value of [tex]x[/tex] at that instant as-

[tex]x=-y\dfrac{\frac{dx}{dt}}{\frac{dy}{dt}}\\x=-6(\dfrac{-4}{8})\\x=3[/tex]

Hence, the value of [tex]x[/tex] at the instant when particle moves on the hyperbola [tex]xy=18[/tex] from time [tex]t\geq 0\;\rm seconds[/tex] is [tex]3[/tex].

Learn more about hyperbola here:

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PLEASE HELP WITH NUMBER FIVE
5. If W(-10, 4), X(-3,-1), and Y(-5, 11) classify AWXY by its sides. Show all work to justify your
answer.
WX =
XY =
WY =
Classify:

Answers

Answer:

The triangle WXY is an isoscels triangle with the base XY.

Step-by-step explanation:

What is the equation of a line, in general form, with a slope of -2 and a y-intercept of 8?

2 x + y - 8 = 0
x + 2 y - 8 = 0
2 x - y + 8 = 0

Will mark brainliest!

Answers

The first equation, 2x+y-8=0 :)

5. A bus traveled 35 kilometers in 60 minutes. What was its speed?​

Answers

Answer: 35 kilometers an hour or 21.7 miles per hour

Step-by-step explanation:

Answer:

35/1

Step-by-step explanation:

km/h

hey i need help this assignment is like 3 pages long

Answers

Answer:

c=1.96

Step-by-step explanation:

2.1/c=1.5/1.4

2.1*1.4=1.5*c

2.94/1.5=1.5c/1.5

c=1.96

Olivia filled 4 baskets of apples. her friend filled up one additional basket of apples. if all of the baskets sold for a total of $160, how much money did each basket of apples cost?

Answers

Answer: 32

Step-by-step explanation: The total of baskets is 5. They paid 160$ So, 160 divide by 5 = 32

 

Hope this helped! Have a blessed day! P.S. mark me brainliest plz Thx

Graph 3x-4y = 24

Brainliest to the correct answer as well as 20 points

Answers

Answer:

ok

Step-by-step explanation:

bet

y- intercept (0, -6)

Which expression is equivalent to -14 - 35d

Answers

Answer:

-7(2+5d)

Step-by-step explanation:

The correct answer is A! :)

Thank you and i got 100 on iready and P.S what makes no sense is that im in 4th grade doing these lessons

The expression - 14 - 35d is equivalent to the expression - 7(2 + 5d). Then the correct option is A.

What is an equivalent function?

The equivalent is the functions that are in different forms but are equal to the same value.

The expression is given below.

- 14 - 35d

Then the expression can be written as

- 7(2 + 5d)

Then the expression - 14 - 35d is equivalent to the expression - 7(2 + 5d). Then the correct option is A.

More about the equivalent link is given below.

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What is the percent of increase from 4000 to 6000

Answers

Answer:

50%

Step-by-step explanation:

The angle of depression from the top of a cliff to an ant on the ground is 35 degrees. If the ant is 280 ft from the base of the cliff, how tall is the cliff?

Answers

Answer: 315

Step-by-step explanation: hope this is right.

What is the slope of the line represented by the equation 2y = 5x + 4? A. 2. 5 B. 2 5 C. 2 D. 5​

Answers

A. 2 because when you divide the 2 to all the other numbers

Answer:

A i think

Step-by-step explanation:

Javier used the equivalent ratios to find the number of millimeters in 8 inches. StartFraction 8 inches Over question mark millimeters EndFraction = StartFraction 40 inches Over 1,016 millimeters EndFraction How many millimeters are in 8 inches?

Answers

Answer:

203.20 millimeters

Step-by-step explanation:

StartFraction 8 inches Over question mark millimeters EndFraction = StartFraction 40 inches Over 1,016 millimeters

8 inches / ? Millimeters = 40 inches / 1,016 millimeters

8 × 1,016 = ? × 40

8,128 = 40?

Divide both sides by 40

? = 8,128 / 40

= 203.20

? = 203.20 millimeters

There are 203.20 millimeters in 8 inches

Answer:

203.2

Step-by-step explanation:

got it right on edg 2020

118 + 560 is the same as
100 +

Answers

Answer:

578

Step-by-step explanation:

118

+560

answer:678

678-100=578

The sum of 118 and 560 is the same as adding 100 to 578.

To find the sum of 118 and 560, we can add the hundreds, tens, and ones separately.

Starting with the ones, 8 + 0 = 8.

Then, moving on to the tens, 1 + 6 = 7.

Finally, adding the hundreds, 1 + 5 = 6. Combining these results, we get 678 as the sum.

However, if we add 100 to 578, we get 678, which is the same as the previous result. This happens because when we add 100 to the sum of 118 and 560, we essentially increase the hundreds place by 1 while keeping the tens and ones the same.

The final answer is 578.

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The question is incomplete, the complete question is:

The sum of 118 + 560 is the same as 100 + x . Find the value of x.

Pls work this out I will give you brainest xx

Answers

Answer: x = -32/9

Explanation:

Cross-multiply to solve.

6x - 5 = 3(5x + 9)

6x - 5 = 15x + 27
Subtract 27 and subtract 6x

-32 = 9x
Divide by 9

x = -32/9

what is 3x=75 solve for x​

Answers

Answer:

x = 25

Step-by-step explanation:

you need x on its own, so just divide both sides by 3, and you get 25.

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