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sasho [114]
3 years ago
8

Tye is making some trail mix Based on a recipe that combines 2 cups of nuts with 3 cups of granola. If Tye Has 6 cups of nuts, h

ow many cups of granola should he use?
Mathematics
1 answer:
WINSTONCH [101]3 years ago
4 0

Answer:

9 cups

Step-by-step explanation:

Ratio of cups of nuts to cups of granola = 2:3

This means that total ratio = 2+3 = 5

Proportion of nuts = 2/5

Proportion of granola = 3/5

So, if Tye has 6 cups of nuts, then 6  represent a proportion of 2/5

then 3/5  would represent how many cups? = \frac{3}{5} *6 * \frac{5}{2}\\ \\

The 5 at the top and 5 at the bottom cancel out and you are left with;

=(3*6) /2

=18 /2

= 9 cups

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ANTONII [103]

Answer:

1. m = slope = \frac{12}{7}

2. y = \frac{12}{7}x

3. Domain: 0≤x≤7

Range: 0≤y≤12

Step-by-step explanation:

1. Assuming 1 unit = 1 box on the grid, therefore, coordinates of C and D would be:

C(0, 0),

D(7, 12)

Slope = m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{12 - 0}{7 - 0} = \frac{12}{7}

2. Equation of the using the slope-intercept formula, y = mx + b, where,

m = slope = \frac{12}{7}

b = y-intercept, which is where the line CD cuts the y-axis = 0

Plug in the values for m and b into the formula to get the equation of the line:

y = \frac{12}{7}x + 0

y = \frac{12}{7}x

3. The domain for C to D part = all x-values = 0≤x≤7

The range = all y-values = 0≤y≤12

3 0
4 years ago
-6•(-18).......help this is due tomorrow
marin [14]
Two positives multiplied together give us a positive answer. and 18 • 6 is 108.
108 is the answer
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7 0
3 years ago
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How do i add a negative integer and a postive integer
adelina 88 [10]

Answer:

See below.

Step-by-step explanation:

Step 1.

Take the absolute value of the negative number.

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Step 2.

Subtract the smaller positive number from the larger positive number.

Step 2.

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8 0
4 years ago
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Nelson goes to three main places most days school, work and his home. They are graphed below. What is the distance between his h
Zarrin [17]

ANSWER

9.5

EXPLANATION

To find the distance between home and work, we have to use the formula:

D\text{ = }\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}

We have that home is at point (3, -3) and work is at point (0, 6).

Therefore:

(x1, y1) = (3, -3)

(x2, y2) = (0, 6)

Therefore, we have that:

\begin{gathered} D\text{ = }\sqrt[]{(0-3)^2+(6-(-3))^2} \\ D\text{ = }\sqrt[]{(-3)^2+(6+3)^2}\text{ = }\sqrt[]{(-3)^2+(9)^2} \\ D\text{ = }\sqrt[]{9\text{ + 81}}\text{ = }\sqrt[]{90} \\ D\text{ = 9.5} \end{gathered}

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