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fenix001 [56]
3 years ago
11

Antonio makes only one size of latte, and he uses 1/3 cup of milk in each drink. How many lattes can Antonio make with 7/9 cups

of milk?
Mathematics
1 answer:
Andrei [34K]3 years ago
6 0
\frac{1}{3}\ cup\ of\ milk\ for\ 1\ drink\\
\frac{7}{9}\ cup\ of\ milk\ for\ x\drinks\\\\
making\ proportion:\\
\frac{1}{3}-1\\
\frac{7}{9}-x\\\\
cross\ multiplication\\\\
\frac{1}{3}x=\frac{7}{9}\ \ \ \ multiply\ by\ 3\\\\
x=\frac{7}{3}=2\frac{1}{3}\\\\
Antonio\ can\ make\ 2\  lattes.

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The table shows the input and output of a function Table(input:3,4,6,11. Output:5,7,11,21) (a) Explain what makes this set of da
Maslowich

Answer:

(a) The data set is a function, since for each input value {3,4,6,11} there is a single output value {5,7,11,21}

(B) A function is a mathematical relationship that associates one or more inputs with a single output value. So that the data set is not a function, there should be - for one or more values ​​of the input - more than one output.

for example, if for the input value {3} there were two outputs {5, -5} then, the data set would not be a function.

The frelation y ^ 2 = x is not a function because:

When x = 1, y = +1 and y = -1.

(c) The set of data provided can be represented by the equation of a line of the form y = mx + b

The slope is:

m=\frac{y_2-y_1}{x_2-x_1}

m =\frac{7-5}{4-3}

m = 2

b = y_1-mx_1

b = 5 - 2*3

b = -1

Then, the function is:

y = 2x-1

You can substitute any of the points shown in the equation and check that equality is satisfied, for example:

(11 , 21)

y = 2 (11) -1

y = 22-1

y = 21. The equation is satisfied. The same goes for the rest of the values.

4 0
3 years ago
A seagull is 12 feet above the surface of the ocean. A fish is 3 feet below the surface of the water. How far apart are the seag
lara31 [8.8K]

Answer:

15

Step-by-step explanation:

12+3=15

4 0
2 years ago
14.36 rounded to the nearest tenth
Finger [1]

Answer:

14.4

Step-by-step explanation:

6 is closer to 40 than to 30

3 0
3 years ago
Read 2 more answers
How many edges does a cube has?<br> A.10<br> B 12<br> C 14<br> D 16
Serga [27]
B. 12 would be your answer
7 0
3 years ago
Read 2 more answers
What is the product??
tangare [24]

Answer:

The answer to your question is the third choice

Step-by-step explanation:

To solve this problem, just multiply 6 by each of the numbers of the matrix and simplify.

            6   |  4  -2  1 |   =   | (6 x 4)   (6 x -2)   (6 x 1) |  

                 |  7   3   0|        | (6 x 7)   (6 x 3)    (6 x 0) |

                                    =   | 24   -12   6 |

                                         | 42    18    0 |

The first choice is wrong because only multiply by six the first row.

The second and fourth rows are incomplete.

7 0
3 years ago
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