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3 years ago

ou need 1 1/4 cups of sugar to make 20 cookies. How many cups of sugar will you need to make 16 cookies? cups of sugar

Mathematics

1 answer:

frutty [35]3 years ago

7 0

Answer:

To make 16 cookies you will need 1 cup of sugar.

Step-by-step explanation:

Given:

Sugar needed to make 20 cookies = 1 1/4 cups

To Find:

Sugar needed to make 16 cookies = ?

Solution:

For making 20 cookies 1 1/4 cups of sugar is used

So to make 1 cookie we need

=> $\frac{1\frac{1}{4}}{20}$

=> $\frac{\frac{5}{4}}{20}$

=> $\frac{5}{4} \times \frac{1}{20}$

=> $\frac{5}{80}$

=> $\frac{1}{16}$ cups of sugar

Now to make 16 cookies we need,

=> $16 \times \text{sugar needed to make one cookie}$

=> $16 \times\frac{1}{16}$

=> $\frac{16}{16}$

=> 1

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Using the recurrence relation s(1) = 2 and s(2)=3, s(k) =s(k-1)+2s(k-2)+6, find the fourth term

HACTEHA [7]

Recurrence functions are used to preedict the subsequent value in a sequence. The fourth term of the sequence based on the recurrence relation is 25

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Given the recurrence relations according to the question

s(1) = 2 and

s(2)=3

s(k) =s(k-1)+2s(k-2)+6

If s(1) = 2, hence;

s(3) =s(3-1)+2s(3-2)+6

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Determine the fourth term:

s(4) =s(4-1)+2s(4-2)+6

s(4) = s3 + 2s2 + 6
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2 years ago

Select the correct answer.

EleoNora [17]

Answer:

Option (B)

Step-by-step explanation:

There are two lines on the graph representing the system of equations.

First line passes through two points (-3, 1) and (-2, 3).

Slope of the line = $\frac{y_2-y_1}{x_2-x_1}$

= $\frac{3-1}{-2+3}$

m = 2

Equation of the line passing through (x', y') and slope = m is,

y - y' = m(x - x')

Equation of the line passing through (-3, 1) and slope = 2 will be,

y - 1 = 2(x + 3)

y = 2x + 7 ----------(1)

Second line passes through (0, 1) and (-1, 4) and y-intercept 'b' of the line is 1.

Let the equation of this line is,

y = mx + b

Slope 'm' = $\frac{y_2-y_1}{x_2-x_1}$

= $\frac{4-1}{-1-0}$

= -3

Here 'b' = 1

Therefore, equation of the line will be,

y = -3x + 1 ---------(2)

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2x + 7 = -3x + 1

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x = $-\frac{6}{5}$

x = $-1\frac{1}{5}$

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3 years ago

You want to place a towel bar that is 10 1⁄4 inches long in the center of a door that is 26 1⁄3 inches wide. How far should you

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1st we need to convert the mixed fractions into fractions to perform subtraction.
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79/3 must be multiplied by 4 = 79 * 4 / 3 * 4 = 316 / 12
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Step 2. Subtract the numerators and place them above the common denominator
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Before we can simplify the fraction, we must divide it by two to get the measurement of each edge of the door.

Steps in dividing fractions.
Step 1. Get the reciprocal of the 2nd fraction.
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Step 2. Multiply the 1st fraction to the reciprocal of the 2nd fraction
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