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raketka [301]
3 years ago
13

A recipe calls for 2/3 of cups of milk for 11 cookies. How many cups of milk are needed to make 165 cookies?

Mathematics
1 answer:
Darina [25.2K]3 years ago
8 0

Answer:

10 cups of milk

Step-by-step explanation:

Make a proportion, where x is the number of cups of milk for 165 cookies:

\frac{2/3}{11} = \frac{x}{165}

Cross multiply and solve for x:

11x = 110

x = 10

So, 10 cups of milk are needed to make 165 cookies

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Kailey wrote 8,912,000 in scientific notation as 89.12 times 10 Superscript 5. Which statement best describes Kailey's work? Kai
hodyreva [135]

Answer:

D. Kailey is not correct:  89.12 \times 10^5 is not written in scientific notation.

Step-by-step explanation:

We have been given that Kailey wrote 8,912,000 in scientific notation as 89.12 \times 10^5. We are asked to choose the statement that best describes Kailey's work.    

We know that to convert a number into scientific notation, we write the given number as product of two numbers. One factor is a number between 1 and 10, while the 2nd factor is power of 10.  

Upon looking at 89.12 \times 10^5 , we can see that 1st factor is 89.10, which is greater than 10. This means that Kailey did not write 8,912,000 in scientific notation.

Therefore, option D is correct choice.

4 0
4 years ago
Read 2 more answers
Find the area of the shaded region <br>​
tatiyna

Answer:

9.82 inches²

Step-by-step explanation:

both areas are equally sized, so they are both half of the whole circle.

circle area : pi × r²

half of the circle area is therefore pi × r² / 2

the picture gives us the diameter of the circle, the radius is half of the diameter.

=> r = 5/2 = 2.5

=> shaded area = pi × r² / 2 = pi × (2.5)² / 2 = 9.82 inches²

4 0
3 years ago
Mabel claims that the expression (2 x 2 – x – 15) + ( x – 3)( x + 7) is equivalent to 3( x – 3)( x + k) .
Naily [24]

Answer:

  k = 4

Step-by-step explanation:

In order for the claim to be true, (x-3) must be a factor of each of the terms in the first expression. That is, you must have that expression factor as ...

  (x -3)(2x +5) +(x -3)(x +7)

Factoring out (x -3), we get ...

  = (x -3)(2x +5 +x +7) = (x -3)(3x +12)

  = 3(x -3)(x +4)

The value of k must be 4.

3 0
3 years ago
From 2000-2003, students were tested by the state in four major subject areas of math, science, English and social studies. The
Verizon [17]

No way to tell . . . . . we can't see the chart below.
It must be WAY down there where the sun don't shine.
8 0
3 years ago
Wendell is looking over some data regarding the strength, measured in Pascals (Pa), of some building materials and how the stren
Slav-nsk [51]

The logarithmic model for the length when the strength is of 8 Pascals is given by:

  • f^{-1}(8) = \log_{2}{8} = \log_2{2^3} = 3
  • That is, the length is of 3 units.

<h3>What is the function?</h3>

The strength in Pascals for a building of length x is given by:

f(x) = 2^x

To find the length given the strength, we apply the inverse function, that is:

2^y = x

\log_{2}{2^y} = \log_2{x}

y = \log_2{x}

Hence, when the strength is of 8 Pascals, x = 8, and the length is given by:

f^{-1}(8) = \log_{2}{8} = \log_2{2^3} = 3

You can learn more about logarithmic functions at brainly.com/question/25537936

6 0
2 years ago
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