Brian and his friend Tom had a lemonade stand. They spent $40 on supplies. They sold $160 of lemonade in 5 hours. If the boys split the money left over evenly, how much money did Brian make each hour?

Answer:

y = (x+8)(x+3)

Step-by-step explanation:

The equivalent expression to the given quadratic equation is:

y = (x + 8)*(x + 3).

Here we start with:

[tex]y = x^2 + 11x + 24[/tex]

To solve the problem, we need to find the roots of the quadratic equation, to do it, we will use the Bhaskara's formula:

[tex]x = \frac{-11 \pm \sqrt{11^2 - 4*24} }{2} \\\\x = \frac{-11 \pm 5 }{2}[/tex]

Then the two solutions are:

Meaning that we can write the cuadratic equation as:

y = (x + 3)*(x + 8).

So the correct option is the first one.

If you want to learn more about quadratic equations:

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Answer:

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Answer: 69

Step-by-step explanation: Sorry I do not know the answer because I am not smart.  I just need the points so I can answer more questions.  Have a great day though and I wish you luck with your question:)

Answer:did u ever get it

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

To find the unit rate you divide.

• the points that is in bold is ( 2, 30) from that information you would see what times 2 gives me 30.

• 30/2 =15

• unit rate= 15

Answer:

yes, your right!

Step-by-step explanation:

yes you're right and this you done by using Pythagoras theorem!

Answer:

true

since: a = 1, or >1 and <10

Hi there!

[tex]\large\boxed{AC \approx 483 ft}}[/tex]

AC is the hypotenuse, so we can use a trig formula to solve.

We are given the adjacent side, AB, so we must use cosine. Recall that:

cosθ = A/H

Thus:

cos(21.3) = 450 / H

Rearrange:

H = 450 / cos(21.3)

Use a calculator to evaluate:

H = 482.99 ≈ 483 ft.

Answer:

AC ≈ 483

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos21.3° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{AB}{AC}[/tex] = [tex]\frac{450}{AC}[/tex] ( multiply both sides by AC )

AC × cos21.3° = 450 ( divide both sides by cos21.3° )

AC = [tex]\frac{450}{cos21.3}[/tex] ≈ 483 ( to the nearest whole number )

Answer:

It would be B

Step-by-step explanation:

Answer:

The girl bought 5 apples, how many apples does she have after 6 times

(Did you mean to put as the multiplication fact 5x6=30?) sorry if I'm wrong

Step-by-step explanation:

Hope this helps.

Please mark Brainliest!

Answer:

t = w/3-11/3

Step-by-step explanation:

w = 3t + 11

3t = w-11

t = 1/3(w-11

t = w/3-11/3

Answer:

what value??????

Answer:

x=2.86 which rounds up to 3 if u need to round

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

Answer:

60°

Step-by-step explanation:

a) Very unlikely (1/30)

b) Unlikely (6/30)

c) Likely (15/30)

mark me brainliestt :))

A = 360 cm^2

Step-by-step explanation:

Using Pythagorean theorem, the length AB is given by

AB^2 = 17^2 - 8^2 = 225 cm^2

or

AB = 15 cm

Since the ratio BC: CD = 1:2 and BC = 8 cm, this means that CD = 2×(8 cm) = 16 cm

so the length BD is

BD = BC + CD = 8cm + 16 cm = 24 cm

There the area of the rectangle is

A = AB×BD

= 15cm×24cm

= 360 cm^2

Step-by-step explanation:

it should be x= -3 and x= 1

Answer:

The shelf life of a particular dairy product is normally distributed with a mean of 12 days and a standard deviation of 3 days. 3. A line up for tickets to a local concert had an average (mean) waiting time of 20 minutes with a standard deviation of 4 minutes.

Step-by-step explanation:

Answer:

why are you running

Step-by-step explanation:

why are you running

Answer:

0=8

1=9

2=10

3=11

graph 2

Step-by-step explanation:

Answer:

Let the number be x.

x doubled is 2x, and 2x is 20 greater than 200. So, we have this:

2x = 200 + 20

2x = 220

x = 110.

Answer:

The unknown number is 110.

Step-by-step explanation:

Let the unknown number be n.

Then your number, doubled, is 200 + 20 (20 greater than 200), so the pertinent equation is    2n = 200 + 20, or 2n = 220.

Then n = 110.

Check:  Is 2(110) = 200 + 20?  Is 2(110) = 220?  YES

Answer:

7in = 4

8in = 3

9in = 1

4 + 3 + 1 = 8

9514 1404 393

Answer:

  11

Step-by-step explanation:

The diagonals of an isosceles trapezoid are congruent.

  DF = EG = EH +HG = 8 +3

  DF = 11

Answer:

The diagonals of an isosceles trapezoid are congruent.

 DF = EG = EH +HG = 8 +3

 DF = 11

Step-by-step explanation:

11

Answer:

Step-by-step explanation:

take 30 degree as reference angle

using cos rule

cos 30=adjacent/hypotenuse

[tex]\sqrt{3}[/tex]/2=12/y(do cross multiplication)

12*2=y[tex]\sqrt{3}[/tex]

24/[tex]\sqrt{3}[/tex]=y

8[tex]\sqrt{3}[/tex]=y

for x

using pythagors theorem

H^2=P^2+B^2

24^2=X^2+(8[tex]\sqrt{3}[/tex] )^2

576=X^2+192

576-192=X^2

384=x^2

[tex]\sqrt{384}[/tex]=x

8[tex]\sqrt{6}[/tex]=x

Answer:

A = 18 km^2

Step-by-step explanation:

Answer:

x = 140

Step-by-step explanation:

The secants exterior angle theorem states that when two secants (lines that intersect a circle at two points) intersect each other outside of the circle, then the absolute value of the difference divided by (2) equals the angle formed by the intersection of the two secants. One can apply this theorem here by stating the following, call the measure of the unknown arc (y);

[tex]\frac{30-y}{2}=10[/tex]

Solve for (y) with inverse operations:

[tex]\frac{30-y}{2}=10\\\\30-y=20\\\\y = 10[/tex]

When there is a diameter in a circle, the degree measure of the arc surrounding the diameter is (180). One can apply this here by stating the following:

[tex]30 + x + 10 = 180[/tex]

Simplify,

[tex]40 + x = 180[/tex]

Inverse operations,

[tex]40+x=180\\\\x = 140[/tex]

Answer:

The Answer Is Five

Step-by-step explanation:

Because When You Take 20 From 112.50 Its 92.5 Then You Divide By 18.50 It Equals 5