My mom likes to support my efforts on the cycling team, so she is always there to watch me race. At the last race, she became so excited that she promised to buy me 4 cupcakes for every three laps I completed. I completed a whole race, a whopping 24 laps! How many cupcakes did my mom buy me? Just write a number for an answer.

3 life jackets  $3.00= $9.00

1 sailboat  $12.00/hr

Total cost = $93.00

93-9= 84

84/12= 7

7 hours

Answer:

[tex]W = 8.255[/tex]

[tex]L = 31.02[/tex]

Step-by-step explanation:

Let L = Length and W = Width.

So:

[tex]L = 4W - 2[/tex]

[tex]Area = 256[/tex]

Required

Find L and W

Area is calculated as:

[tex]Area = L * W[/tex]

Substitute 4W - 2 for L and 256 for Area

[tex]Area = (4W - 2) * W[/tex]

[tex]256 = (4W - 2) * W[/tex]

Open Bracket

[tex]256 = 4W^2 - 2W[/tex]

Divide through by 2

[tex]128 = 2W^2 - W[/tex]

Equate to 0

[tex]2W^2 - W - 128 = 0[/tex]

An equation [tex]aw^2 + bw + c = 0[/tex] has the roots

[tex]W = \frac{-b\±\sqrt{b^2 - 4ac}}{2a}[/tex]

Where

[tex]a = 2[/tex]   [tex]b = -1[/tex] [tex]c = -128[/tex]

So:

[tex]W = \frac{-(-1)\±\sqrt{(-1)^2 - 4*2*-128}}{2*2}[/tex]

[tex]W = \frac{1\±\sqrt{1 +1024}}{4}[/tex]

[tex]W = \frac{1\±\sqrt{1025}}{4}[/tex]

[tex]W = \frac{1\± 32.02}{4}[/tex]

[tex]W = \frac{1+ 32.02}{4}[/tex] or [tex]W = \frac{1 - 32.02}{4}[/tex]

[tex]W = \frac{33.02}{4}[/tex] or [tex]W = \frac{-31.02}{4}[/tex]

[tex]W = 8.255[/tex]  or [tex]W = -7.755[/tex]

But the dimension can not be negative.

So:

[tex]W = 8.255[/tex]

Recall:

[tex]L = 4W - 2[/tex]

[tex]L = 4 * 8.255 - 2[/tex]

[tex]L = 31.02[/tex]

180 deg rotation about the origin and a translation 2 units left

Answer:

f(2) = 28

Step-by-step explanation:

By evaluating the function in x = 2 we will see that f(2) = 0.

Here we have:

[tex]f(x) = x^2 + 4x - 12[/tex]

and we want to find f(2), so we need to evaluate in x = 2.

To do this, we just replace the "x" in the function by the number 2, we will get:

[tex]f(2) = 2^2 + 4*2 - 12 = 4 + 8 - 12 = 0[/tex]

So we can conclude that f(2) = 0.

If you want to know more about evaluating:

https://brainly.com/question/4344214

#SPJ2

Answer:

x = $42.8

Step-by-step explanation:

Let

Amount of money shalee has in Sept = $x

Shalee October earnings = $48.24

Total money = $x + $48.24

She spent 3/4 of the money on dress

3/4 of (x + 48.24) = $68.28

3/4 * x + 48.24 = 68.28

3/4x + 144.72/4 = 68.28

3/4x + 36.18 = 68.28

3/4x = 68.28 - 36.18

3/4x = 32.10

x = 32.10 ÷ 3/4

= 32.10 × 4/3

= 128.4/3

= 42.8

x = $42.8

Answer:

y+5=[tex]\frac{2}{3}[/tex](x-4)

Step-by-step explanation:

Answer:

The percentage of people surveyed that were satisfied with the car is 55%.

Step-by-step explanation:

1,100/2,000=0.55*100= 55%

Answer:

so i graphed it and it does end

Step-by-step explanation:

Answer:

Adventure time is a great show they shouldve made more episodes

Step-by-step explanation:

Answer:

-32

Step-by-step explanation:

((−4)(4))(2)

=−32

Answer:

-32

Step-by-step explanation:

hope this helps you out

Answer:

Choice A. $2,392 is the correct answer

Answer:

You do 2 times 5x, the simplify.

Answer: none of these

Step-by-step explanation:

Answer:

4.50

Step-by-step explanation:

Answer:

Sales tax:1.50, total cost:51.50

Step-by-step explanation:

price x sales tax rate = sales tax

50 x .03 (3%) = 1.50 sales tax

price + sales tax = total cost of item

50 + 1.50 = 51.50

Answer:

Isnt the

Step-by-step explanation:

Isnt the first term 11

And the 4th 17 lol

Answer:

2774

Step-by-step explanation:

start by multiplying 2 by 7, the answer is 14 put the 1 above the 8 in 1387 then put the 4 under the equation, similar to addition. repeat but next time when you multiply 2 by 8 add the 1 (from the previous multiplication) to the answer under and put the 1 from 17 on top of the 3. you get it?

Answer:

2 cups left in the ceral box!

Step-by-step explanation:

please just trust me i worked it out and got the answer and you just have to trust me please! MAY I HAVE BRAINLIEST IF ITS RIGHT? HAVE A GREAT DAY!!!

Answer:

The equivalent expressions are:

[tex]4\left(4a+5\right)=16a+20[/tex]

                [tex]=2\left(8a+10\right)[/tex]

                [tex]=12a+20+4a[/tex]  

Yes, 16a+20 could be further reduced by taking 2 as a common factor.

i.e. 16a+20 = 2(8a+10)

Step-by-step explanation:

Given the expression

solving the expression to determine the equivalent expression

[tex]4\left(4a+5\right)[/tex]

[tex]\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b+c\right)=ab+ac[/tex]

[tex]4\left(4a+5\right)=4\cdot \:\:4a+4\cdot \:\:5[/tex]

                [tex]=16a+20[/tex]

Taking 2 as the common factor

                [tex]=2\left(8a+10\right)[/tex]

Also

[tex]12a+20+4a = 16a+20[/tex]  

Therefore, the equivalent expressions are:

[tex]4\left(4a+5\right)=16a+20[/tex]

                [tex]=2\left(8a+10\right)[/tex]

                [tex]=12a+20+4a[/tex]  

Yes, 16a+20 could be further reduced by taking 2 as a common factor.

i.e. 16a+20 = 2(8a+10)

Answer:

20

Step-by-step explanation:

I'm just doing this for points but it is the right answer

Answer: The only force on it is its weight, w=9800N

Step-by-step explanation:

Answer:

well it would be +12, does that answer your question?

Answer:

1

Step-by-step explanation:

17 + (-8) + (-8) = 17 + (-16)

                      = 1

If two numbers have same sign, then add and put the sign.

So, add (-8)and (-8), the result will have the sign (-).  -16

If two numbers have different sign, subtract and the result will have the sign of the bigger number.

17 and (-16) have different sign and the bigger number sign is +

So, the result is 1

Easy :PP

1

-8 + -8

=

-16

-16 + 17

=

1

Answer:

Ans. 41

Step-by-step explanation:

By using the formula of pythagoras theorem,

h^2 = p^2+b^2

or, h = sqrt(9^2+40^2)

or, h = sqrt(81+1600)

or, h = sqrt(1681)

or, h = sqrt(41^2)

or, h = 41 #

Answer: Reflection over X axis is (-4, 2) and reflection over the Y axis is (4, -2)

Step-by-step explanation:

Answer:

B. The graph is a horizontal line.

Step-by-step explanation:

brainest plz

Answer:

-2x + y

Step-by-step explanation:

2x - 5x + x + y

combine all like terms ( x with x and y with y)

-2x + y

Hope this helps!!!

Answer:

5x9.2x3.4=156.4

Step-by-step explanation:

plug in 9.2 for x and 3.4 for y then multiply