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Chad baked 12 cookies with 2 scoops of flour. How many scoops of flour doesChad need in order to bake 42 cookies? Solve using unit rates.

Answers

Answer 1
Answer:

Answer:

7

Step-by-step explanation:

Set up a proportion

12 cookies / 2 cups = 42 cookies / x   Notice that cookies are on the top and cups are on the bottom of each proportion.

12/2 = 42/x                Cross multiply

12x = 84                    Divide by 12

x = 84/12

x = 7

He will need 7 cups to make 42 cookies.
Answer 2
Answer:

Final answer:

Chad needs approximately 7 scoops of flour to bake 42 cookies using the given rate of 2 scoops of flour per 12 cookies.

Explanation:

This problem can be solved using unit rates method. First, we find how much flour is needed for one cookie by dividing the number of scoops of flour used by the number of cookies created. In this case, the unit rate is 2 scoops of flour per 12 cookies, which simplify to about 0.167 scoops/cookie.

To find out how many scoops of flour Chad needs to bake 42 cookies, we will multiply our unit rate by the number of cookies. Here it is: 0.167 scoops/cookie times 42 cookies equals to approximately 7 scoops of flour.

Learn more about unit rates here:

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Describe how to simplify the expression 3^-6/3^-4a. Divide the bases and then add the exponents.
b. Keep the base the same and then add the exponents.
c. Multiply the bases and then subtract the exponents.
d. Keep the base the same and then subtract the exponents.

Answers

Answer:

The correct option is d. To simplify the given expression we should keep the base the same and then subtract the exponents.

Step-by-step explanation:

The given expression is

(3^(-6))/(3^(-4))

In the above expression we have common base 3 but the exponents are different.

According to the rule of exponent, if the numerator and denominator have same base and different exponent, then the base remains the same and the exponent of denominator subtracted from exponent of numerator.

(a^m)/(a^n) =a^(m-n)

Use this rule in the given expression.

(3^(-6))/(3^(-4))=3^(-6-(-4))

(3^(-6))/(3^(-4))=3^(-2)

Therefore the correct option is d.

Answer:

d or Keep the base the same and then subtract the exponents.

Step-by-step explanation:

WUse the distributive property to create true equations.
4(2 + 6) = blank
+ blank
35 - 21 =blank
(
5-3)
Due soon help!!!

Answers

1. 8+24
2. can’t quite understand the format ?

Help please ! i need it asap & do not put any typa link .

Answers

Answer:

SU = 32 and <SVT = 32

Step-by-step explanation:

math, i am pretty sure about the angle and positive on the diagonal

A student measures the diameter of a small cylindrical object and gets the following readings: 4.32, 4.35, 4.31, 4.36, 4.37, 4.34 cm. What is the average diameter from these readings?

Answers

Answer:

The average of the diameter readings is 4.34 cm.

Step-by-step explanation:

We  are given the following data set(cm):

4.32, 4.35, 4.31, 4.36, 4.37, 4.34

Formula:

Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}

Mean =\displaystyle(26.05)/(6) = 4.34167 \approx 4.34

Thus, the average of the diameter readings is 4.34 cm.

What is the result of 72 divided by 12? 6 8 9 12

Answers

Answer:

the answer is 6

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Hope this helps!!!!!!

I=$720, P=$1000, r=9%
Find the amount of the time.

Answers

Answer:

The amount of time is 8 years

Step-by-step explanation:

Simple interest refers to the interest produced by initial capital over a period of time. This does not accumulate to the capital to produce the interests of the following period, so the interest generated or paid in all periods is the same, while the interest rate and term dont vary.

The amount of interest paid or charged depends on three important amounts: Capital, rate and time. This is expressed by the following equation:

I = P * r * t

Where:

  • I = interest.
  • P = initial capital.
  • r = interest rate in decimals (it is usually a given data in percentage, which you must divide by 100 to get the value in decimals).
  • t = time in years.

In this case I has a value of $ 720, P has a value of $ 1000 and r of 9%, which making the conversion to decimal is 0.09

Replacing in the equation you get:

720=1000*0.09*t

Multiplying 1000 * 0.09 you get:

720=90*t

Dividing both sides by 90, in order to isolate t, you get:

(720)/(90) =(90)/(90) *t

8=t

Remembering that the value of t is expressed in years, this means that the amount of time is 8 years.
I = PRT....looking for T...re-arrange......I / PR = T

I / PR = T
I = 720
P = 1000
R = 9% = 0.09
now we sub
720 / (1000)(0.09) = T
720 / 90 = T
8 = T <===
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