solve for a
[a+4 over 3 - a over 7= a+7 over 5} times 105

Answer:

[tex]\frac{1}{5}[/tex] cup of sugar per cup of water

Step-by-step explanation:

Set up a ratio with sugar on top and water on bottom to figure it out.

"If 1 cup sugar is equal to 5 cup water, then [tex]x[/tex] cup sugar equal to 1 cup water"

Translating the above statement into ratios:

[tex]\frac{sugar}{water}=\frac{1}{5}=\frac{x}{1}[/tex]

Cross multiplying and solving for [tex]x[/tex] gives us:

[tex]\frac{1}{5}=\frac{x}{1}\\5x=1*1\\5x=1\\x=\frac{1}{5}[/tex]

So [tex]\frac{1}{5}[/tex] cup of sugar is used per cup of water.

Joan completed 12 free throws. Tabitha completed 8, half of 4 more than Joan's total. Equation: (1/2)(4+n)=8. Solve: n=12.

Let's break down the problem step by step:

1. Let's denote the number of free throws Joan completed as n.

2. According to the given information, Tabitha completed 8 shots.

3. It's also mentioned that Tabitha completed half of 4 more than Joan completed. So, the number of shots Tabitha completed is [tex]\( \frac{1}{2}(4 + n) \)[/tex].

4. Since Tabitha completed 8 shots, we can write the equation:

[tex]\[ \frac{1}{2}(4 + n) = 8 \][/tex]

5. Now, let's solve for n:

[tex]\[ \frac{1}{2}(4 + n) = 8 \][/tex]

4 + n = 16 (multiplying both sides by 2 to eliminate the fraction)

n = 16 - 4

n = 12

So, the number of free throws, n, that Joan completed is indeed 12..

The percent of change from 14 inches to 26 inches is approximately 85.71 percent, calculated by using the formula for percent of change which is [(change in quantity)/(original quantity)] × 100.

To find the percent of change from one value to another, you apply the formula [(change in quantity)/(original quantity)] × 100. In this instance, the original quantity is 14 inches and it changed to 26 inches. Therefore, the change in quantity is 26 - 14 = 12 inches.

Now, substitute these values into the formula: (12/14) × 100 = 85.71% (approximately). This means the change from 14 inches to 26 inches represents an approximately 85.71 percent increase.

https://brainly.com/question/17968508

#SPJ2

Answer:

The vertices of image are (5,1), (2,-5) and (-4,-5).

Step-by-step explanation:

The vertices of triangle are (5,-1), (3,-5) and (-1,-5).

If a figure dilated by scale factor k centered at (a,b), then

[tex](x,y)\rightarrow (k(x-a)+a,k(y-b)+b)[/tex]

The figure after a dilation with a scale factor of 3/2 centered at (5, −5).

[tex](x,y)\rightarrow (\frac{3}{2}(x-5)+5,\frac{3}{2}(y+5)-5)[/tex]

The coordinates of image are

[tex](5,-1)\rightarrow (\frac{3}{2}(5-5)+5,\frac{3}{2}(-1+5)-5)\rightarrow (5,1)[/tex]

[tex](3,-5)\rightarrow (\frac{3}{2}(3-5)+3,\frac{3}{2}(-5+5)-5)\rightarrow (2,-5)[/tex]

[tex](-1,-5)\rightarrow (\frac{3}{2}(-1-5)+5,\frac{3}{2}(-5+5)-5)\rightarrow (-4,-5)[/tex]

Therefore vertices of image are (5,1), (2,-5) and (-4,-5).

The fraction of the pie given to his friend is [tex]\frac{1}{2}[/tex]

The leftover given to his friends will be determined adding the portion Christine and her brother ate which are [tex]\frac{1}{6}[/tex] and [tex]\frac{1}{3}[/tex] respectively, then subtracted from the whole portion.

= [tex]\frac{1}{6}[/tex] + [tex]\frac{1}{3}[/tex] (The lowest common denominator of 6 and 3 = 6)

= (1 x 1) + (2 x 1) /6

= (1) + (2) / 6

= 1 + 2 / 6

= [tex]\frac{3}{6}[/tex]

Thus, total portion of the pie eaten by Christine and her brother = [tex]\frac{3}{6}[/tex] . Also the fraction of the whole portion of the pie = [tex]\frac{6}{6}[/tex]  

Determining the portion given to the friend =

Subtracting [tex]\frac{6}{6}[/tex] – [tex]\frac{3}{6}[/tex]

= [tex]\frac{6}{6}[/tex] – [tex]\frac{3}{6}[/tex] (The lowest common denominator of 6 and 6 = 6)

= (1 x 6) – (1 x 3) / 6

= (6) – (3) / 6

= 6 – 3 / 6

= [tex]\frac{3}{6}[/tex]

= [tex]\frac{1}{2}[/tex] (further broken down to this)

Therefore the fraction given to the friend is [tex]\frac{1}{2}[/tex].

LEARN MORE:

KEYWORDS:

the value of the fraction when x = 2 and y = 3 is approximately [tex]\( \frac{1}{31.6} \).[/tex]

To find the value of the fraction [tex]\( \frac{1}{2x^3 + 5.2y} \) when \( x = 2 \) and \( y = 3 \)[/tex], we substitute these values into the expression:

[tex]\[ \frac{1}{2(2)^3 + 5.2(3)} \][/tex]

[tex]\[ = \frac{1}{2(8) + 5.2(3)} \][/tex]

[tex]\[ = \frac{1}{16 + 15.6} \][/tex]

[tex]\[ = \frac{1}{31.6} \][/tex]

So, the value of the fraction when x = 2 and y = 3 is approximately [tex]\( \frac{1}{31.6} \).[/tex]

The probable question maybe:

What is the value of fraction 1 over 2x^3 + 5.2y when x = 2 and y = 3?

Without the height of the popcorn machine, the exact length cannot be calculated. The length is three-quarters of the height. If the height were known, the length would be determined by multiplying the height by 3/4.

To determine the length of the popcorn machine, we need to know the height of the machine since the length is expressed as a fraction of the height. Without the height measurement, we cannot calculate a specific length. However, if we were provided with the height (let's call it H), then we could easily find the length by multiplying the height by 3/4:

Length = (3/4) × H

For example, if the height of the popcorn machine were 4 feet, then the length would be calculated as follows:

Length = (3/4) × 4 feet = 3 feet

Therefore, the length of the popcorn machine is three-quarters of whatever its height is.

Answer: 10

How many hours will it take Kelli and Karl to earn the same amount of money? i took the k12 quiz

Two hundred percent (200%) is equivalent to whole number 2.

A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.

Given:

We have the percentage 200%.

Converting percentage to whole number,

200/100,

= 2

2 is equivalent to 200%.

Therefore, 2 is equivalent to 200%.

To learn more about the percentage;

https://brainly.com/question/24159063

#SPJ2

Final answer:

To do twice of p minus q, multiply p by 2 and then subtract q. For example, if p is 5 and q is 3, the result would be 7 (since 2*5 - 3 equals 10 - 3 equals 7).

Explanation:

To calculate twice of p minus q, first you need to understand that 'twice of p' means 2 times p, which is written as 2p. Then, you subtract q from this result. The algebraic expression for this calculation is 2p - q.

Here is an example, if p equals 5 and q equals 3, then twice of p minus q would be calculated as follows:

Twice of p is 2 times 5, which equals 10.

Then, subtract q (which is 3) from this result: 10 - 3 equals 7.

Therefore, twice of p minus q would be 7 when p is 5 and q is 3.

Answer:

the answer is 16 c:

Step-by-step explanation:

The winning candidate for the class president's election received 288 votes, as this represents 80% of the total votes (360). We calculated this by converting the percentage to a decimal (0.80) and multiplying it with the total votes.

This problem is about finding percentages of a given amount. The winner of the election received 80% of the votes. Given the total number of votes is 360, we need to find 80% of 360 to determine the number of votes the winning candidate received. To calculate this, simply multiply 360 by 0.80 (or 80%).

Here's the step-by-step calculation:

Hence, the winning candidate received 288 votes.

https://brainly.com/question/30697911

#SPJ12

To determine the sales tax owed, calculate the total cost of the items purchased and apply the sales tax rate.

The sales tax rate in Brads town is 4.25%.

Therefore, the student owes a total amount of sales tax as calculated in step 3.

Answer:

Step-by-step explanation:

If Stephen divided 46.8 by 0.5, the right quotient would be:

[tex]\frac{46.8}{0.5} = 93.6[/tex]

Therefore, the correct quotient would be 93.6, because if Stephen multiply 93.6 times 0.5, it would result in 46.8.

Remember that the quotient is basically the result of a division or fraction.