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Maslowich
4 years ago
6

A group of hikers buys 8 bags of mixed nuts. Each bag contains 3 1/2 cups of mixed nuts. The mixed nuts are shared evenly among

12 hikers. How many cups of mixed nuts will each hiker receive? Please Show work and explain
Mathematics
1 answer:
bazaltina [42]4 years ago
6 0
8b(3.5c/b)(1/12h)=28c/12h which is 2 1/3 cups/hiker

We set up ratios that can be multiplied/divided which cancel out the units not necessary for the answer, it's called dimensional analysis and is fundamental to conversions of any type of units...
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Function 1: y = 4x + 5
rosijanka [135]

Answer:

Option B is correct

Function 1, because the slope is 4 and the slope of function 2 is 2.

Step-by-step explanation:

Slope-intercept form:

The equation of line is given by:

y=mx+b

where, m is the slope and b is the y-intercept

As per the statement:

Function 1: y = 4x + 5

On comparing with [1] we have;

Slope of function 1  = 4

Function 2: The line passing through the points (1, 6) and (3, 10).

Using slope formula:

\text{Slope}= \frac{y_2-y_1}{x_2-x_1}

Substitute the given points we have;

\text{Slope}= \frac{10-6}{3-1}

⇒\text{Slope}= \frac{4}{2}

Simplify:

⇒\text{Slope}=2

⇒\text{Slope}= \frac{4}{2}

⇒ Slope of the function 2 is, 2

Since, function 1 is greater rate of change.( i.e 4 > 2)

Therefore,

Function 1  has the greater rate of change,  because the slope is 4 and the slope of function 2 is 2.

3 0
3 years ago
Read 2 more answers
What is the value of 4x−8(2−x) , when x=−14 ?
hoa [83]

Answer:

-184

Step-by-step explanation:

First we plug in -14 into the x's.

4 (-14) - 8(2 - (- 14))

Then we can distribute the 8.

4 (-14) - 16 - 112

Then solve from here.

-56 - 16 - 112

= -184

5 0
3 years ago
Every employee works 7 hours per day. every employee works 5 days per week. every employee works 49 weeks per year. how many day
andriy [413]
To determine the number of days that an employee work in a week, we simply use dimensional analysis and multiplying the number of works per week with the number of weeks in total for a year. That is,
                         employee works = (5 days per week)(49 weeks per year) 
                                                    =245 days
4 0
4 years ago
Read 2 more answers
A new bank customer with ​$2,000 wants to open a money market account. The bank is offering a simple interest rate of ​%1.1a. Ho
Goshia [24]

Answer:

$2220

Step-by-step explanation:

Step one

Given data

Principal= $2000

rate= 1.1%= 0.011

time= 10 years

<u>Required</u>

<u>The final amount A</u>

Step two;

For simple interest, the final amount is given as

A=P(1+rt)

substitute

A=2000(1+0.011*10)

A=2000(1+0.11)

A=2000(1.11)

A=2220

$2220

5 0
3 years ago
How much of a 3/4 of cup serving is in a 2/3 cup of yogurt?
Veronika [31]

Answer:

8/9

Step-by-step explanation:

could i have brailiest plz it  isnt a must tho thx

3 0
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