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Answer: 48 pounds

Step-by-step explanation:

Given: A person who weighs 240 pounds burns 180 calories per mile of running.

There is a direct relation ship between the weight of the person and the calories burn.

If a person burns thirty-six calories by running one mile.

Let x be the weight of the person then

[tex]\frac{x}{36}=\frac{240}{180}\\\Rightarrow\ x=\frac{240\times36}{180}\\\Rightarrow\ x=48[/tex]

The weight of the person is 48 pounds.

We have been given that Tina's favorite shade of teal is made with 7 ounces of blue paint for every 5 ounces of green paint and Tyler's favorite shade of teal is made with 5 ounces of blue paint for every 7 ounces of green paint.

We can express the ratio of blue paint to green paint for both Tina as well as Tyler's favorite shades of teal as shown below.

For Tina: [tex]\frac{7}{5}[/tex]

For Tyler: [tex]\frac{5}{7}[/tex]

In order to compare the two ratios, we will have to make the denominators equal. Let us make denominators equal for both these ratios.

For Tina: [tex]\frac{7\cdot7}{5\cdot7}=\frac{49}{35}[/tex]

For Tyler: [tex]\frac{5\cdot5}{7\cdot5}=\frac{25}{35}[/tex]

Therefore, we can see that for equal amount of Green paint, Tina's favorite shade of teal contains [tex]\frac{49}{25}[/tex] times, that is almost twice the Blue paint that Tyler's favorite shade of teal contains.

Tina's favorite shade is more blue than Tyler's

Final answer:

After calculating the expenses, the Choir Booster Club has D. $456.77 left in their budget. This is determined by subtracting the costs of t-shirts, lost uniforms, and the holiday party from their starting budget of $1,300.00.

Explanation:

The Choir Booster Club started the year with a budget of $1,300.00 and spent money on various items. To calculate how much of the budget remains, we need to subtract the costs of the t-shirts, lost uniforms, and the holiday party from the starting budget:

Now, subtract the total expenditures from the starting budget:

$1,300.00 - $225.30 - $482.25 - $135.68 = $456.77 remaining

Therefore, the correct answer is: D. $456.77

double x + 3= 2x + 6. double four is 8. 8 * 2x + 6 = 16x + 48

Answer:

Step-by-step explanation:

Given fractions are [tex] \frac{1}{2} ,\frac{3}{5} ,\frac{9}{15} [/tex]

To find the least common denominators of the given fractions, we need to find the least common multiple (L.C.M.) of the numbers given in denominators i.e. 2, 5, and 15.

Finding the LCM of 2, 5, and 15 :-

2 = 1 x 2

5 = 1 x 5

15 = 3 x 5

So least common multiple of 2, 5, and 15 would be (1 x 2 x 3 x 5) = 30.

Hence, common denominator would be 30.

The teacher tells us to double the common denominator to find the answer that is the number of the day.

So we need to double the value of common denominator i.e. 2 x 30 = 60.

It means that 60 is the number of the day.

Hence, 60 is the final answer.

The number of the day is 4.

Least common denominator for 1/2 3/5 and 9/15

To find the least common denominator (LCD) for fractions, we need to find the smallest multiple that is common to all the denominators.

For 1/2, 3/5, and 9/15, the denominators are 2, 5, and 15 respectively.

To find the LCD, we need to double the smallest denominator, which is 2, resulting in an LCD of 4.

Therefore, the number of the day is 4.

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Answer: There are 40 times that Mathieu can expect to choose a multiple of 5.

Step-by-step explanation:

Since we have given that

Numbers between 1 to 20 = 20

Numbers which are divisible by 5 = 4

i.e. {5,10,15,20}

So, Probability that getting a number divisible by 5 is given by

[tex]\dfrac{4}{20}=\dfrac{1}{5}[/tex]

If the number of trials = 200

Then, Number of times Mathieu expect to choose a multiple of 5 is given by

[tex]\dfrac{1}{5}\times 200\\\\=40[/tex]

Hence, there are 40 times that Mathieu can expect to choose a multiple of 5.

Answer:

a0 - 8.0

a1 - mean

a2 - 15.7

Answer:  The correct option is

(C) Rational, because it is a fraction.

Step-by-step explanation:  We are given to choose the best description for the real number 34 over 3.

The given real number can be written as :

[tex]f=\dfrac{34}{3}.[/tex]

We know that

a number of the form [tex]\dfrac{p}{q},~q\neq 0[/tex] is a rational number. That is, a fraction with non zero denominator is a rational number.

Since the given number can be written as a fraction, so it is a rational number.

Thus, option (C) is CORRECT.

Answer:

c

Step-by-step explanation:

Answer:

(2,3)

Step-by-step explanation:

Given : [tex]x + y = 5[/tex]

           [tex]y=\frac{x}{2}+2[/tex]

To find: what point do the lines representing the two equations intersect

Solution:

[tex]x + y = 5[/tex]

[tex]y=\frac{x}{2}+2[/tex]

Plot the lines on the graph

Green line denotes  [tex]x + y = 5[/tex]

Purple line denotes [tex]y=\frac{x}{2}+2[/tex]

So, Intersection point = (2,3)

Refer the attached figure

So, option C is true

Hence Intersection point is (2,3)

The expression 40t - 16 is factored completely by first identifying the greatest common factor, which is 8, then factoring it out to get the result 8(5t - 2).

To factor the expression 40t - 16 completely, we need to find the greatest common factor (GCF) of the terms. The GCF of 40t and 16 is 8. Therefore, we can factor out 8 from both terms:

40t - 16 = 8(5t) - 8(2) = 8(5t - 2)

So, the completely factored form of the expression 40t - 16 is 8(5t - 2).