MATHEMATICS MIDDLE SCHOOL

Miguel’s family drove 357 miles on their weekend trip. Their car’s average gas mileage was 25.5 miles per gallon. How many gallons of gas did they use? Round your answer to the nearest tenth of a gallon if necessary.1.4 gallons
14 gallons
91 gallons
140 gallons

Answers

Answer 1
Answer: 14 gallons, or b.
I took the test
Answer 2
Answer:

Answer:

The Answer is B.14

Step-by-step explanation: You get this answer by dividing 357 by 25.5 and you come out with 14 (problem) 357/25.5

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The minimum and maximum temperature for a day in Cupcake Town can be modeled by the equation below: 3|x − 8| + 15 = 18 What are the minimum and maximum temperatures for this day?

Answers

3|x − 8| =18 - 15 = 3
|x − 8| = 3/3 = 1
x − 8 = \pm1
x = \pm1 + 8
x = 1 + 8 or x = -1 + 8
x = 9 or x = 7
i.e. minimum temperature is 7 while the maximum temperature is 9

two parallel lines are graphed on a coordinate plane.how many of the lines could represent proportional relationship?Explain.

Answers

Solution:

You need minimum of  two lines which are parallel or coincident to represent proportional relationship.

Suppose two lines in one dimensional plane is Coincident.These lines are represented by a and b. Then to represent proportional relationship between them ,we can write it as follows

a = K b

or, b= Ta, where K and T are proportionality constant.

→→Line in two dimensional coordinate plane, which passes through origin or are Coincident, represents proportional relationship.  

1. 2 x + 3 y= 5

2. 4 x + 6 y =10

Line 2 = 2 × Line 1

2. y= k x is equation of any line passing through origin, where k is constant of proportionality between x coordinate and y coordinate.

It's not necessary that either one represents a proportional
relationship.  But if either one does, then the other one doesn't. 
They can't both represent such a relationship.

The graph of a proportional relationship must go through
the origin.  If one of a pair of parallel lines goes through
the origin, then the other one doesn't. (If two parallel lines
both went through the origin, then they would both be the
same line.)

Multiply 0.023 and 10^2

Answers

0.023 x 10^2

0.023 x 100

2.3

your answer would be 2.3

Which special version of the Pythagorean Theorem can you use to find the length of any square's diagonal, d, using only the length of its side, s?

Answers

Using the Pythagorean Theorem, the length of a square diagonal, in function of it's sides s, is given by:

d = s√(2)

The Pythagorean Theorem relates the length of the legs l_1 and l_2 of a right triangle with the length of the hypotenuse h, according to the following equation:

h^2 = l_1^2 + l_2^2

In a square, as given in the figure below, the legs are the sides s, of equal measure, while the hypotenuse is the diagonal d, thus:

d^2 = s^2 + s^2

d^2 = 2s^2

d = √(2s^2)

d = s√(2)

A similar problem is given at brainly.com/question/21691542
the square's diagonal is the triangle's hypotenuse.

the original Pythagorean theorem is  a^(2) + b^(2) = c^(2)   where a and b are the two sides and c is the hypotenuse.

that means the Pythagorean theorem for this question is:

s^(2) + s^(2) = d^(2)  or 2( s^(2) )= d^(2)

What is the GCF of 15 and 30

Answers

The greatest common factor (GCF) of 15 and 30 is: 15

Factors of 15: 1, 3, 5, 15
Factors of 30: 1, 2, 3, 5, 6, 10, 15

The common factors between the two numbers are 1, 3, 5, and 15, but considering 15 is the highest number out of them all, it is the greatest common factor. 

The greatest common factor of numbers 15 and 30 would be 15.

Given that,

The two numbers are 15 and 30.

Used the concept of the greatest common factor that states that,

The GCF is defined as the largest number that is a factor of two or more numbers.

For example, the GCF of 24 and 36 is 12, because the largest factor that is shared by 24 and 36 is 12.

Here, The two numbers are 15 and 30.

Now, the factors of 15 and 30 are,

Factors of 15: 1, 3, 5, 15

Factors of 30: 1, 2, 3, 5, 6, 10, 15

Clearly, the largest factor that is shared by 15 and 30 is 15.

Therefore, GCF (15, 30) = 15

To learn more about the greatest common factor visit:

brainly.com/question/25266622

#SPJ6

Trevor paints 1/6 of the fence surrounding his farm each day. How many days will it take him to paint 3/4 of the fence?

Answers

To do this you have to divide 3/4 by 1/6.  To do this multiply 3/4 by the reciprocal of 1/6.  The reciprocal of 1/6 is 6/1.  So you have to multiply 3/4 and 6/1.  This will give you 18/4.  You now simplify it to 4 2/4, which can be simplified even more to 4 1/2.  It will take Trevor 4 1/2 days to paint 3/4 of the fence.  
BTW- In case you are wondering how long it'll would take him to paint the entire fence, it would be 6 days.
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