Janice NEEDS 3 GALLONS of lemonade for a party. She has 4 quarts, 6 pints and 4 cups of lemonade already made. How many CUPS of lemonade does Janice have? Be sure to re-state the question when giving your answer.

Answer:

Step-by-step explanation:

Rationalize the denominator of b. So, multiply the numerator and denominator by [tex]\sqrt{x}[/tex]

[tex]b = \frac{(1-2\sqrt{x}) *\sqrt{x}}{\sqrt{x}*\sqrt{x} }=\frac{1*\sqrt{x} -2\sqrt{x} *\sqrt{x} }{\sqrt{x} *\sqrt{x} }\\\\=\frac{\sqrt{x} -2x}{x}\\[/tex]

Now, find a +b

[tex]a +b = \frac{2x+\sqrt{x} }{x}+\frac{\sqrt{x} -2x}{x}\\\\=\frac{2x+\sqrt{x} +\sqrt{x} -2x}{x}[/tex]

Combine like terms

[tex]= \frac{2x-2x+\sqrt{x} +\sqrt{x} }{x}\\\\=\frac{2\sqrt{x} }{x}[/tex]

Now find (a + b)²

(a +b)² = [tex](\frac{2\sqrt{x} }{x})^{2}[/tex]

          [tex]= \frac{2^{2}*(\sqrt{x} )^{2}}{x^{2}}\\\\= \frac{4* x}{x^{2}}\\\\= \frac{4}{x}[/tex]

Hint: [tex]\sqrt{x} *\sqrt{x} =\sqrt{x*x}=x[/tex]

Answer:

70 is 125% of 50

Step-by-step explanation:

I hope this helped :)

The percentage value of 70 to  56 is 125% by taking the ratio of 70 to 56 and then converting it to a percentage.

Given that, to find what percent of 70 in 56.

To find out if the percentage of 70 is 56, follow the steps:

Step 1:Find the ratio of the two numbers that is the ratio of  70 and 56 gives:

[tex]70:56 = 70/56[/tex]

Divide both numerator and denominator by 14 yields in:

[tex]= 5/4[/tex]

Step 2: Convert the result of step 1 into decimals by a long division of  5 by 4.

[tex]5/4 = 1.25[/tex]

Step 3: Find the percentage value of the decimal by multiplying the decimal by 100.

[tex]1.25 \times100 = 125[/tex]%

Therefore, the percentage value of 70 to  56 is 125% by taking the ratio of 70 to 56 and then converting it to a percentage.

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Answer:

(x + 1)² = 7

Step-by-step explanation:

Given:

-2x = x² - 6

We'll start by rearranging it to solve for zero:

x² + 2x - 6 = 0

The first term is already a perfect square so that's fine.  Normally, if that term had a non-square coefficient, you would need to multiply all terms a value that would change that constant to a perfect square.

Because it's already square (1), we can simply move to the next step, separating the -6 into a value that can be doubled to give us the 2, the coefficient of the second term.  That value will of course be 1, giving us:

x² + 2x + 1 - 1 - 6 = 0

Now can group our perfect square on the left and our constants on the right:

x² + 2x + 1 - 7= 0

x² + 2x + 1 = 7

(x + 1)² = 7

To check our answer, we can solve for x:

x + 1 = ± √7

x = -1 ± √7

x ≈ 1.65, -3.65

Let's try one of those in the original equation:

-2x = x² - 6

-2(1.65) = 1.65² - 6

- 3.3 = 2.72 - 6

-3.3 = -3.28

Good.  Given our rounding that difference of 2/100 is acceptable, so the answer is correct.

Answer: B

Step-by-step explanation:

196π=πr^2

196=r^2

14=r

14<30

Answer:

A congruence statement says that two polygons are congruent.

Step-by-step explanation:

To write a congruence statement, list the corresponding vertices in the same order.

Answer:

Area= 56 cm²

Step-by-step explanation:

Figure given is a rhombus

Area= 1/2*d1*d2

Answer:

b

Step-by-step explanation:

besase of i don't nown but answer is d no

Answer:

C

Step-by-step explanation:

If you know what the distributive property is that will help a lot, if not I'll show you how to solve this.

 6(x + 13)

Then you do 6 times x which would be 6x. Next you multiply 6 by 13 which is 78. So, your answer would be 6x + 78. Which is answer choice C.

Answer:

V=π(d

2)2h=π·(12.8

2)2·7.1≈913.62541ft³ Step-by-step explanation: because i said so

Answer:

Your Answer Is 10

Step-by-step explanation:

1st Factor the Numerator and Denominator then cancel the common factor.

Hope It Help You If Yes then Please make me the Brainiest.

Thank You

Parshv

Answer:

The area of the base is 80 in².  80 square inches.

Step-by-step explanation: V = b×h

Divide the volume by the height to find the area of the base.

400 ÷ 5 = 80

Answer:

ab = 6

a+b = 5

Step-by-step explanation:

Answer:

Positive

Step-by-step explanation:

Two positive integers multiplied will always be positive.

Answer:

Positive

Step-by-step explanation:

two positive will always be a positive because of the rule of multiplication

Answer:

$20.40 after the discount

Step-by-step explanation:

To find 15% of 24, you multiply 24 and 0.15, which gets you 3.6

Then, to find the price after the discount, you subtract the 15% (the 3.6). So, 24 - 3.6 = $20.40

Answer:

your answer will be option D. exponential decay

Step-by-step explanation:

have a nice day/ night bye ^_^

Answer:

D. (2,2)

Step-by-step explanation:

I did the test and I got it correct. :DD

Answer:

$640 is how much she will make in in regular hours.

Step-by-step explanation:

Create an equation from the word problem and solve.

Option A is correct, $640 is the pay for her regular hours.

Two or more expressions with an Equal sign is called as Equation.

Given that Tania earns $16 per hour at the Glendale Florist.

She regularly works 40 hours per week.

She is paid time-and-a-half for each hour of overtime work

Last week she worked 43 hours.

We need to find the payment she received for her regular hours.

16h is the expression to find the pay for h hours.

As she work for 40 hours.

Now plug in h as 40.

16×40

$640

Hence, option A is correct, $640 is the pay for her regular hours.

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Answer:

6/55

Step-by-step explanation:

[tex]\frac{2}{5}*\frac{3}{11}=\frac{2*3}{5*11}=\frac{6}{55}[/tex]

Create a poster or transparency that shows the two different methods that your team used to find the area of the regular hexagon in part (b) of problem 8-43. Then, as you listen to other teams present, look for strategiesthat are different than yours. For each one, consider the questions below. •Which geometric toolsdoes this method use? •Would this method help find the area of other regular polygons (like a pentagon or 100-gon)?8-45. Which method presented by teams in problem 8-44 seemed able to help find the area of other regular polygons? Discuss this with your team. Then find the area of the two regular polygons below. If your method does not work, switch to a different method. Assume Cis the center of each polygon.a. b. 8-46. So far, you have found the area of a regular hexagon, nonagon, and decagon. How can you calculate the area of anyregular polygon? Write a Learning Log entry describing a general process for finding the area of a polygon with nsides. 8-47. Beth needs to fertilize her flowerbed, which is in the shape of a regular pentagon. A bag of fertilizer states that it can fertilize up to 150 square feet, but Beth is not sure how many bags of fertilizer she should buy. Beth does know that each side of the pentagon is 15 feet long. Copy the diagram of the regular pentagon below onto your paper. Find the area of the flowerbed and tell Beth how many bags of fertilizer to buy. Explain how you found your answer. 15 ft 5 C 11 C

Answer:

30.45

Step-by-step explanation:

Answer:

30.45

Step-by-step explanation:

Answer:

B, 3/10

Step-by-step explanation:

Going by SOHCAHTOA, we see that tangent is actually Opposite / Hypotenuse.

The opposite side of angle A here is 12, while the Hypotenuse is 40. Our answer is 12/40 which is 3/10.

Answer:

[tex]f(y) = \frac{9y^4+26y^2+9}{y^4}[/tex]

Step-by-step explanation:

Work is attached from a derivative calculator. If you hover over the steps it tells you exactly what its doing(on the website). Feel free to ask if you dont understand any of the individual steps it does.

Answer:

50°

Step-by-step explanation:

90°-40°=50°

The square on the angle means 90°.

Hope this helps! :D

Answer:

dump-the-books-out

Step-by-step explanation:

i-think

Answer:

285°

Step-by-step explanation:

90 + 180 = 270

270 + 15 = 285

Answer:

285°

Step-by-step explanation:

Lets solve your problem :)

90° + 180° = 270°

270° + 15° = 285°

Mark my answer brainliest to tell you the 4 algebra calulators :)

Answer:

x = 10

Step-by-step explanation:

30/35 = (6x-6)/63

210x - 210 = 1890

210x = 2100

x = 10

Answer:

The answer would be -4.

Step-by-step explanation:

yeah I didn't do too good on that unit with the integers kind of thing so, yeah....

how I did this question: imagine if you owe someone $9 but you only have $5 so you give them those $5 so now you only owe them for dollars.

Answer:

the third one has a 2 acute angles 2 abuse angles and the x value is 110

Step-by-step explanation

the x value has to be bigger then 90 degree angles because it is a abuts angle and the 57 angle is a acute angle