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poizon [28]
2 years ago
13

A car can travel 150 miles on 4 gallons of petrol. How far can it travel on 6 gallons?

Mathematics
1 answer:
Ket [755]2 years ago
6 0

Answer: The car can travel 225 miles on 6 gallons of petrol.

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A college is currently accepting students that are both in-state and out-of-state. They plan to accept three times as many in-st
ziro4ka [17]

Answer:

0 < x ≤ 100 and 0 < y ≤ 300

Step-by-step explanation:

THIS IS THE COMPLETE QUESTION BELOW;

college is currently accepting students that are both in-state and out-of-state. They plan to accept three times as many in-state students as out-of-state, and they only have space to accept 100 out-of-state students. Let x = the number of out-of-state students and y = the number in-state students. Write the constraints to represent the incoming students at the college.

0 < x ≤ 100 and 0 < y ≤ 300

x > 0 and y > 0

0 < x ≤ 100 and y > 300

0 < x and y < 100

SOLUTION

they only have space to accept 100 out-of-state students,which means that the Maximum number of out-of-state students that can be accepted is 100

Then x= 100(Maximum number of out-of-state students that can be accepted)

They plan to accept three times as many in-state students as out-of-state which means that

Y = 3x(Maximum number of in-state students)

Then we can deduced that the numbee out-of-state students that can be accepted can lyes between the range of 0 and 100 which means from interval 0 to 100

Which can be written as 0 < x ≤ 100

But we need to know the interval for the Maximum number of in-state students(Y), to do that we need to multiply the equation above by 3 since Y = 3x

0 < x ≤ 100

3× 0 = 0

3× X = X

3× 100= 300

Then 0 < 3x≤ 300

But we know that Y = 3x then substitute into last equation

We have

0 < y ≤ 300

ThenBthe constraints to represent the incoming students at the college is

0 < x ≤ 100 and 0 < y ≤ 300

8 0
2 years ago
Do most students walk, bike, or bus to school? Most students to school. If 100 students were surveyed, how many students walk to
Mekhanik [1.2K]

Answer:

54

Step-by-step explanation:

4 0
2 years ago
Diego solved an equation by multiplying both sides of the equation by 6. Then he checked that 6 is the correct solution by subst
Nikolay [14]
Based on the given condition Diego utilized, it can be said that he used multiplication property when he multiplied both sides of the equation by 6 and then substitution property when he substituted 6 to the original equation.
(c) Multiplication property of equality and substitution property of equality
7 0
3 years ago
Matthew is half as old as Alan. If the sum of their ages is 54, find their ages.
kompoz [17]

Answer:

26

Step-by-step explanation:

5 0
2 years ago
What is the next number in the sequence 3,7,15,31,63,
andrew-mc [135]

Answer:

The next number is 127

Step-by-step explanation:

The sequence is the previous number times 2 plus one.

6 0
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