MATHEMATICS MIDDLE SCHOOL

Alphonse is training for a marathon. He runs 6 1/2 miles every 2/3 hour. How far does he run in 2 hours?

Answers

Answer 1

Answer:

Answer:

$19.5\ miles$ or $19(1)/(2)\ miles$

Step-by-step explanation:

we know that

Alphonse runs $6(1)/(2)$ miles every $(2)/(3)$ hour

by proportion

Find how far does he run in $2$ hours

Convert to an improper fraction first

$6(1)/(2)=(6*2+1)/2=13/2$

$((13/2))/((2/3))(miles)/(hours) =(x)/(2)(miles)/(hours) \n \nx=(13/2)*2/(2/3)\n \nx=39/2\n \nx=19.5\ miles$

Convert to mixed number

$19.5\ miles=19+0.5=19+(1)/(2)=19(1)/(2)\ miles$

Answer 2

Answer: 19 1/2 miles. Because you take 6 1/2 and divide that in half which is 3 1/4, so that is 1/3 of an hour. 3 1/4 times 3 is 9 3/4. Since that is only 1 hour you double that, which is 19 1/2.

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. What is the value of r? 0.2(6r − 5) = 8 A. 3.2 B. 7.5 C. 10.8 D 12.4
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"All integers are rational numbers" True or False

This polygon has only 4 sides no Congruent sides no right angles and no pairs of parallel sides who am I

Answers

The answer is rhombus because first of all it is the only one who has no right triangle. Its also did not say that it has parallel sides. Plus it has 4 sides which means its a rhombus

Are the fractions 1/3 and 3/9 equivalent?

Answers

yes it is equivalent if u multiply 1 times 3 u get 3 if u multiply 3 times 3 is 9 so they r equivalent hope this help:)

yes, the fractions are equivalent.
in order to solve this problem, you need both fractions to have the same denominators.
ask yourself if 3 can go into 9. it can.
you change the denominator of 3 to 9. but when you change the denominator, you also have to change the numerator. since 3 goes into 9 three times, you also multiply the numerator by 3.
1/3 times 3/3 equal 3/9. since 3/9 and 3/9 are the same, they are equivalent

A quadratic equation set equal to zero that has a double root. Explain what this means and describe the quadratic.

Answers

Double roots of a quadratic equation shows that they are same root, and the graph of the quadratic function merely touches the input axis.

What does a double root mean for a quadratic equation?

Let there is a quadratic function as: $y = ax^2 + bx + c$

The input axis is 'x-axis' and the output axis is 'y-axis'

When the output is 0, we get the graph of that function touching the x-axis since the place where y is 0 is only x-axis.

Thus, putting $ax^2 + bx +c = 0$ gives us the values of x for which the graph of the function $y = ax^2 + bx + c$ intersects the x-axis.

These points of interesection are called roots of the quadratic equation.

If the graph only touches the input axis (here x-axis), then both the roots are lying on same point and therefore are of equal measurement.

This is the condition when we call that the considered quadratic equation has double roots.

Let we consider and example of a quadraticfunction which will have double root.

Since (x-3)(x-3) = 0 will give x= 3 two times, that means the roots of the equation (x-3)(x-3) are same, and are equal to 3.

So, $y = (x-3)(x-3) = x^2 -6x +9$ is one such quadraticfunction having double roots, as shown in the image attached below.

Learn more about finding the nature of the roots of a quadratic equation here:

brainly.com/question/24730520

Answer:

Step-by-step explanation: When the left side factors into two linear equations with the same solution, the quadratic equation is said to have a repeated solution. We also call this solution a root of multiplicity 2, or a double root.

The city of Houston, Texas typically has 90 clear days out of the 365 days in a year. Houston's clear days represent what fraction of a year? Write your answer in simplest form.

Answers

(90/365)=(18/73)

5 goes into both 90 and 365 evenly: (90/5)=18 & (365/5)=73
There are no other numbers that go into both 18 and 73 evenly.

Final answer:

90 clear days out of 365 days a year in Houston, Texas represents the fraction 18/73 of a year.

Explanation:

The city of Houston, Texas typically has 90 clear days out of approximately 365 days in 1 year. To answer this mathematics problem, we need to determine the fraction that represents Houston's clear days in a year. The fraction would be the number of clear days divided by the total number of days in a year, that is, 90/365. This fractions needs to be simplified to its simplest form. The greatest common divisor of 90 and 365 is 5. So divide both the numerator (90) and the denominator (365) by 5. This gives us 18/73. Therefore, the clear days in Houston represent 18/73 of a year.

Learn more about Fraction Representation here:

brainly.com/question/33445752

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Answer the question above please thank you

Answers

$(1)/(2) / 5 = (1)/(2) * (1)/(5) = (1)/(2 * 5) = (1)/(10)$

Each person will get $\huge{\boxed{\sf{ (1)/(10) }}$ pound of trail mix

Which strategy would you use to find 2+8? Explain how u decide?

Answers

I added because the plus sign tells us to add. Adding is when you do 8 plus 2 more numbers which equals 10.

Hope I Helped You!!!

Well, u could count on your fingers. 2 fingers plus 8 fingers is 10 fingers. so u get 10.

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Alex spent 25% of his money on a sports drink. Then he spent 25% of the remaining money on trail mix. He has $9 left. How much money did Alex begin with?

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Which statement is true about the diagram below?

7.8+3.5w-1.5 for w = 6.8