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Serhud [2]
3 years ago
13

The sugar company will choose from two companies to transport its sugar to market. The first company charges 5197 to rent trucks

plus an additional fee of 175.75 for each ton of sugar. The second company charges 5500 to rent trucks plus an additional fee of 150.50 for each ton of sugar for what amount of sugar do the two companies charge the same?
Mathematics
1 answer:
Rudiy273 years ago
3 0
5197+175.75x=5500+150.50x
25.25x=303
X=12 (tons)
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A restaurant offers 6 choices of appetizer, 8 choices of a main meal, and 5 choices of dessert. A customer can choose to eat jus
Katen [24]

Answer:

377 choices

Step-by-step explanation:

From the above question, we are told that

A restaurant offers 6 choices of appetizer, 8 choices of main meal and 5 choices of dessert. A customer can choose to eat just one course, or two different courses, or all three courses.

Let us represent each choice by :

A = Appetizer = 6

M = Main meal = 8

D = Dessert = 5

a) The combination of the 3 choices together

AMD=6 × 8 × 5=240

b) AM= Appetizer and Main meal

= 6 × 8 = 48

c) AD= Appetizer and Dessert

= 6 × 5 = 30

d) MD = Main meal × Dessert

= 8 × 5 = 40

e) A,M,D (each alone)=

Appetizer + Main meal + Dessert

= 6 + 8 + 5

= 19

Assuming all choices are available, how many different possible meals does the restaurant offer?

This is calculated as:

AMD + AM + AD + MD + A,M,D

240 + 48 + 30 + 40 + 19

= 377 choices

6 0
3 years ago
Logan genetically engineered a new type of fir tree and a new type of pine tree. The combined height of one fir tree and one pin
shepuryov [24]

Answer:

The types of trees that Logan genetically engineered are fir trees <u>9 meters</u> tall and pine trees <u>12 meters</u> tall.

Step-by-step explanation:

Given:

The combined height of one fir tree and one pine tree is 21 meters.

The height of 4 fir trees stacked on top of each other is 24 meters taller than one pine tree.

Now, to find the height of types of trees that Logan genetically engineered.

<em>Let the height of fir tree be </em>x.<em />

<em>And let the height of pine tree be </em>y.<em />

So, the combined height of both the trees:

x+y=21\\\\x=21-y\ \ \ .....(1)

As given, the height of 4 fir trees stacked on top of each other is 24 meters taller than one pine tree.

Thus,

4x=y+24

Now, substituting the value of x from equation (1):

4(21-y)=y+24

<em />84-4y=y+24<em />

<em>Subtracting both sides by 24 we get:</em>

<em />60-4y=y<em />

<em>Adding both sides by </em>4y<em> we get:</em>

<em />60=5y<em />

<em>Dividing both sides by 5 we get:</em>

12=y\\\\y=12\ meters.

<u>The height of pine trees = 12 meters.</u>

Now, substituting the value of y in equation to get the height of fir trees:

x=21-y\\\\x=21-12\\\\x=9\ meters.

<u>The height of fir trees = 9 meters.</u>

Therefore, the types of trees that Logan genetically engineered are fir trees 9 meters tall and pine trees 12 meters tall.

4 0
3 years ago
What is the slope of line that passes through the points -2,4 and 1,-1​
GalinKa [24]

Answer:

-5/3

Step-by-step explanation:

-2 to 1 =3   x=3

4 to -1=5   y=-5

y/x      slope=-5/3 or -1  2/3

4 0
3 years ago
Find the mean of each data set.<br> 1.9, 10, 11, 16, 12, 12,14
igor_vitrenko [27]

Answer:

Add all the values up and divide by 7 ( as there are 7 values in the data set)

Step-by-step explanation:

1.9 + 10 + 11 + 16 + 12 + 12 + 14 = 76.9

If you divide by 7, you will get 10.9857142857.

6 0
3 years ago
Read 2 more answers
Suppose we roll a die once. What is the probability that we roll a 4 or an even number?
solong [7]

Answer:

You have a 1/2 or 50% chance of rolling a 4 or an even number

Step-by-step explanation:

They're three even numbers on a die 2,4,6 and that's half of the total option.

3 0
3 years ago
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