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3 years ago

A box of cereal states that there are 81 calories in a 7-cup serving. What is the unit rate for calories

Mathematics

1 answer:

mr_godi [17]3 years ago

5 0

Answer:

23.142857143 calories or 23 1/7 calories

The unit rate is calories per cup

Step-by-step explanation:

7- cup serving = 81 calories

2 cups = x calories

Cross Multiply

2 cups × 81 calories = 7 cups × x

x = 2 cups × 81 calories/7 cups

x = 23.142857143 calories or 23 1/7 calories

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Write in slope intercept form, then convert to standard form Slope=1, y-intercept=-3

Viktor [21]

Slope = 1

y-intercept = -3, which can be expressed as (0,-3).

y - y_1 = m(x - x_1)

y -(-3) = 1(x - 0)

y + 3 = x

The slope-intercept form is

y = x - 3.

The standard form is Ax + By = C.

y = x - 3

3 = x - y

Done.

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3 years ago

A disc has a diameter of 21 cm while a mini disc has a diameter of 14cm. Write the ratio of the mini disc diameter to the disc d

Serjik [45]

Answer:

mini disc diameter:disc diameter

14cm:21cm = 7:10.5 = 3.5:5.25 = 1:1.5

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3 years ago

Can someone please help me extra points

Maslowich

Answer:

4) m: 1.25 b: 6 Equation: y= 1.25x + 6

5) m: 20 b: 10 Equation: y= 40x + 10

6) m: -2 b: 0 Equation: y= -2x + 0

7) m: 1/5 b: 1 Equation: y= 1/5x + 1

8) -8.7 = 1.3x + 0

I really hope this helps!

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3 years ago

Use the distributive property to demonstrate that the product of 10 and -1/5 is a negative number. Make sure to include all step

rodikova [14]

-1(10 * (-1/5))

(-10)(1/5)

-2

4 0

3 years ago

The sum of the first 150 negative integers is represented using the expression What is the sum of the first 150 negative integer

Kamila [148]

Answer:

C. -11,325

Step-by-step explanation:

To know the answer, is convenient to replace some values of "n" in the sum $\sum_{(n=1)}^{150}[-1-(n-1)]$ .

The result would appear after adding up every value of the expression $\sum_{(n=1)}^{150}[-1-(n-1)]$ when n=1,2,3.....,150.
When n=1, the expression takes the value of (-1): $[-1-(1-1)]= (-1)-0=-1$ .
When n=2, the expression takes the value of (-2): $[-1-(2-1)]=-1-1=-2$ .
Following this way, for every n, we will obtain -n, then, the sum will be: $-1-2-3-4-5-6-...-150$ . This sum can actually be expressed as $\sum_{n=1}^{150}(-n)$ , which is the result of solving the initial expression of the sum $-1-(n-1)=-1-n+1=-n$ .
Finally, the sum of n=-1 to n=-150 equals -11,325.

7 0

4 years ago

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