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Digiron [165]
2 years ago
3

You use 30 sandwiches and 42 granola bars to make identical picnic baskets. You make the greatest number of picnic baskets with

no food left over. How many sandwiches and how many granola bars are in each basket?
Mathematics
1 answer:
kiruha [24]2 years ago
4 0

Answer:

5 sandwiches and 7 granola in each basket

Step-by-step explanation:

Given

Represent Sandwiches with S and Granola with G

S = 30

G = 42

Required

Determine number of S and G in one basket

To do this, we simply need to determine the ratio of S to G

S:G = 30:42

Simplify to lowest integer by dividing by 6

S:G = 30/6:42/6

S:G = 5:7

<em>This implies that there are 5 sandwiches and 7 granola in each basket</em>

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Zac and Lynn are each traveling on a trip. So far, Zac has traveled 123.75 miles in 2.25 hours. Lynn leaves half an hour after Z
Savatey [412]

Complete question is;

Zac and Lynn are each traveling on a trip. So far, Zac has traveled 123.75 miles in 2.25 hours. Lynn leaves half an hour after Zac. So far

she has traveled 105 miles in 1.75 hours. Assume Zac and Lynn travel at constant rates.

Let a represent the number of hours that have elapsed since Zac started traveling. Let y represent the number of miles traveled. Write a system of linear equations that represents the distance each of them has traveled since Zac left on his trip.

Assume Zac and Lynn continue to travel at the same constant rates and make no stops.

Determine the solution of the system of linear equations.

Answer:

Zac: y = 55a

Lynn: y = 60(a - ½)

6 hours after Zac started traveling, both Zac and Lynn would have covered 330 miles each.

Step-by-step explanation:

Zac has traveled 123.75 miles in 2.25 hours. Since he travels at constant speed, we can say;

zac's speed = 123.75/2.25 = 55 mi/hr

Similarly, Lynn traveled 105 miles in 1.75 hours. Thus, since she travels at a constant speed;

Lynn's speed = 105/1.75 = 60 mi/hr

Now, we are told that a represents the number of hours that have elapsed since Zac started traveling and y represents the number of miles traveled.

Thus;

a hours after Zac started travelling, his distance covered will be;

Zac: y = 55a

Now,for Lynn, since she started ½ an hour after Zac, it means a hours after Zac started, she had traveled (a - ½) hours.

Thus, Lynn's distance traveled after Zac started = 60(a - ½)

Lynn: y = 60(a - ½)

The solution will be when they have travelled equal distances a hours after Zac started. Thus;

55a = 60(a - ½)

55a = 60a - 30

60a - 55a = 30

5a = 30

a = 30/5

a = 6 hours

Putting 6 for a in y = 55a, we have;

y = 55 × 6

y = 330 miles

5 0
2 years ago
Help marking Brainly!!!
lorasvet [3.4K]
Use the app Socratic
7 0
2 years ago
Read 2 more answers
Isabella filled her pool with water at a constant rate.
AlladinOne [14]

(184-94)/5=18

This means that she fills up 18 liters every minute. Thus she will be done in->

184(original amount)+(2 minutes (time passed during first data point)*18(rate of water)=184+36=220

To find the total time taken we divide 220 by 18 which is 220/18=12 2/9

6 0
2 years ago
Read 2 more answers
You are buying boxes of cookies at a bakery. Each box of cookies costs \$4$4dollar sign, 4. In the equation below, ccc represent
Basile [38]

Answer:

The required equation is

d = 4c

where d represents the cost of cookies in dollar and c represents the number of boxes of cookies.

Step-by-step explanation:

Given that, the cost of each box of cookies is $4.

It means,

The cost of 1 box of cookies is $4.

The cost of 2 boxes of cookies is $(4+4)  =$(2×4)

The cost of 3 boxes of cookies is $(4+4+4)  =$(3×4)

The cost of cookies

=(Number of boxes × 4)

The required equation is

d = 4c

where d represents the cost of cookies in dollar and c represents the number of boxes of cookies.                                                    

   

8 0
2 years ago
A firm has a revenue function that can be represented by r (x)=700x-0.35x^2, where r (x) is the total revenue (in dollars) and x
Fudgin [204]

Answer:

How many units need to be sold to produce the maximum revenue? 1000 units

How many in dollars is the maximum revenue when the maximum of units are sold? $350,000

Step-by-step explanation:

We get max value of a function if we differentiate it and set it equal to 0.

We need to differentiate r(x) and set it equal to 0 and solve for x.

<u><em>That would be number of units sold to get max revenue.</em></u>

<u><em /></u>

<u>Then we take that "x" value and substitute into r(x) to get the max revenue amount.</u>

<u />

Before differentiating, we see the rules shown below:

f(x)=ax^n\\f'(x)=n*ax^{n-1}

Where

f'(x) is the differentiated function

Now, let's do the process:

r (x)=700x-0.35x^2\\r(x)=700-2*0.35x\\r(x)=700-0.7x\\0=700-0.7x\\0.7x=700\\x=1000

So, 1000 units need to be sold for max revenue

Now, substituting, we get:

r (x)=700x-0.35x^2\\r(1000)=700(1000)-0.35(1000)^2\\r(1000)=350,000

The max revenue amount is $350,000

5 0
2 years ago
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