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3 years ago

7

A receipe for cupcakes call for 2/3 cup of chocolate chips for a batch of two dozen cupcakes. How many chocolate chips will be n

eeded to make 18 cupcakes?
Thank you

1 answer:

balu736 [363]3 years ago

6 0

1/3 and 1/6 a cup for the total amount of chocolate chip cookies needed. Hope this helped! :)

You might be interested in

For any positive integer n, prove that n^3-n is divisible by 6.please answer

ikadub [295]

Answer:

yes it is true

Step-by-step explanation:

if we take n=2 then

2°3-2=8-2=6

3 0

2 years ago

Walter walked 15.5 block from his house to work. It took him 35 minutes. What is his rate in blocks per hour

Sonbull [250]

For this case we first calculate the rate in blocks per minutes.
rate = (15.5) / (35) = 0.443 blocks per minutes.
Then, we can go to blocks per hour.
Remember: 1h = 60min.
rate = 0.443 * (1/60) = 0.00738 blocks per hour.
answer
his rate in blocks per hour is 0.00738 blocks per hour.

6 0

2 years ago

In the first equation in the system of equations, y represents the money collected from selling sweatshirts. In the second equat

NeTakaya

Answer:

The solution x = 229.89 ≅ 230 (since we cannot have a decimal number of sweatshirts)implies that, the money collected from selling sweatshirts equals the money used in producing sweatshirts when 230 sweatshirts have been sold or produced.

Step-by-step explanation:

Here is the complete question

In the first equation in the system of equations, y represents the money collected from selling sweatshirts. in the second equation, y represents the money spent to produce x sweatshirts with team logos on them for a professional sports league.

y=35x; y=-0.05(x-400)²+9,492

what does the solution of the system represent in this context?

Solution

The solution of the system is obtained when both equations are equal. That is y=35x = y=-0.05(x-400)²+9,492 .

So, 35x = -0.05(x-400)² + 9,492.

Expanding the right side, we have

35x = -0.05(x² - 800x + 160000) + 9492

35x = -0.05x² -800x × -0.05 + (-0.05) × 160000 + 9492

35x = -0.05x² +40x - 8000 + 9492

35x = -0.05x² +40x + 1492

Collecting all the terms to the left side, we have

0.05x² - 40x - 1492 + 35x = 0

0.05x² - 5x -1492 = 0

Using the quadratic formula,

$x = \frac{-(-5) +/- \sqrt{(-5)^{2} - 4 X 0.05 X - 1492} }{2X0.05} = \frac{5 +/- \sqrt{25 + 298.4} }{0.1} = \frac{5 +/- \sqrt{323.4} }{0.1}\\= \frac{5 +/- 17.983 }{0.1}\\= \frac{5 - 17.983 }{0.1} or \frac{5 + 17.983 }{0.1}\\= \frac{-12.983 }{0.1} or \frac{22.983 }{0.1}\\= -129.83 or 229.83$

We choose the positive answer x = 229.83. Since we cannot have a decimal number of sweatshirts, we approximate to the nearest whole number. So, x = 229.83 ≅ 230 sweatshirts.

The solution implies that the money collected from selling sweatshirts equals the money used in producing sweatshirts when 230 sweatshirts have been sold or produced.

We confirm that by plugging in x = 229.83 in both equations.

y = 35x = 35(229.83) = 8044.05 ≅ 8044.1

y=-0.05(x-400)²+9,492 = y=-0.05(229.83-400)²+9,492 = y=-0.05(-170.17)²+9,492 = y=-0.05(28,957.8289)+9,492 = -1447.8914 + 9492 = 8044.11 ≅ 8044.1

3 0

3 years ago

Read 2 more answers

(I can mark the first correct person brainliest!)

Mashutka [201]

35 which is slope which in turn represents the speed.

6 0

2 years ago

Solve the inequality and enter your solution as an inequality comparing the variable to the solution in the box below. 18 + x &g

storchak [24]

<em><u>Hi there! :)</u></em>

<em><u>Answer:</u></em>

<em><u>x>24</u></em>

<em><u>*The answer must have a positive sign and greater than symbol sign.*</u></em>

<em><u>Step-by-step explanation:</u></em>

First, you switch sides.

$x+18>42$

Then, you subtract by 18 from both sides of an equation.

$x+18-18>42-18$

Finally, you subtract by the numbers from left to right.

$42-18=24$

<u><em>Final answer is x>24</em></u>

I hope this helps you!

Have a nice day! :)

-Charlie

:D

7 0

2 years ago