Can you explain step by step for #15 and #16 I have a test on this tomorrow

Answer:

x = -8

QR = 6

PR = 9

Step-by-step explanation:

Alrighty, this one has a lot of steps. We have to think about this logically.

The length of PR is x + 17, and the length of PQ is 3, and the length of QR is 2x + 22.

The length of PR could also be written as the length of PQ + QR, which gives us the formula PR = PQ + QR. This allows us to put all our information into one formula to solve for x.

PR = PQ + QR

x + 17 = 3 + 2x + 22

17 - 3 - 22 = 2x - x

-8 = x

so x = -8

Now we can use that x and plug it into the other two formulas:

QR = 2x + 22

QR = 2(-8) + 22

QR = -16 + 22

QR = 6

And now we plug x into PR:

PR = x + 17

PR = -8 + 17

PR = 9

Alternatively, we can use our other formula, PR = 3 + QR, which gets us the same answer:

PR = 3 + QR

PR = 3 + 6

PR = 9

Answer:

Step-by-step explanation:

What is Reciprocal?

The reciprocal of a number is 1 divided by that number.

For example, the reciprocal of 3 is 1 divided by 3, which is 1/3.

In the question, it is given:

[tex]\frac{5}{7} y=6\\\\y=\frac{6*7}{5} \\\\y=\frac{42}{5}[/tex]

Thus, the value of y= 42/5

In terms of reciprocal, it can be written as: y=5/42.

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Answer:

This is the answer

Step-by-step explanation:

Answer:

52*2=104

no you cannot complete the homework under two hours

Step-by-step explanation:

since 52*2 is only 104, and you need 130 pages to complete it, i would say that you can't complete the homework under two hours

Step-by-step explanation:

1 yard equal to 91.44 centimeters (cm)

Final answer:

Final answer:

The expressions that represent a perfect square monomial and its square root are: 121 and 11 since 121 is 11 squared; 4x2 and 2x as 4x2 is the square of 2x; and 49x4 and 7x2 since 49x4 is the square of 7x2.

Explanation:

The expression that represents a perfect square monomial and its square root must fulfill a specific criterion where the expression can be written as the square of a monomial. A perfect square monomial, when factored, will give the square of a binomial, which suggests that it's been multiplied by itself. The square root of such an expression will be simply the base of that monomial.

Looking at the provided options, only certain expressions fit this definition:

121; 11 - 121 is indeed a perfect square as it's 11 squared, and its square root is 11.

4x2; 2x - Here, 4x2 is the square of 2x, making 2x its square root.

49x4; 7x2 - In this case, 49x4 is the square of 7x2, hence, 7x2 is the square root of 49x4.

The other expressions listed do not represent perfect square monomials with their respective square roots. In particular, 9x2-1 is not a monomial and 25x is not a square of a monomial.

Answer:

B. 20 over 32

Step-by-step explanation:

Because if you multiply both number by 4, you will get the ratio of 20:32

Final answer:

The equivalent ratio to 5 out of 8 players selected is 20 over 32, as both ratios reduce to the same value when simplified. Options A, C, and D are not equivalent to the original ratio of 5 to 3. Therefore, option(B) is correct.

Explanation:

The question asks about equivalent ratios. The tennis coach selected 5 out of 8 players to represent his academy, so the original ratio is 5 selected to 3 not selected (since 8-5 = 3). To find an equivalent ratio, we need to find multiples of both numbers that maintain the same relationship.

Option A, which presents the ratio 15 over 21, can be reduced by dividing both numbers by 3, yielding 5 over 7. This is not equivalent because 5 selected to 3 not selected is different than 5 to 7.

Option B, the ratio of 20 over 32, can also be reduced by dividing both numbers by 4, yielding 5 over 8. This is equivalent to the original ratio of 5 to 3 since the number of selected players would be scaled similarly. Therefore, the correct answer is B. 20 over 32.

Option C, 5 over 3, presents the opposite of the original scenario, where the numerator would represent the selected players, but this ratio does not need scaling, so it's not a valid equivalent ratio in this question.

Lastly, option D, 8 over 13, does not reduce to a ratio equivalent to 5 over 3 as these numbers have no common factors with 5 and 3 respectively.

Answer:

i believe you have to divide 8 by each number to get the distance between the pairs of integers.

Step-by-step explanation:

Using the two given equations:

x - y = 34

x +y = 212

Rewrite the first one in terms of x:

x = 34 + y

Now replace x in the 2nd equation:

34 + y + y = 212

Simplify:

34 +2y = 212

Subtract 34 from both sides:

2y = 178

Divide both sides by 2:

y = 178/2

y = 89

Now replace y in an equation to solve for x:

x + 89 = 212

x = 212-89

x = 123

He has 123 domestic stamps and 89 foreign stamps.

Malik has 123 domestic stamps and 89 foreign stamps

The equations are given as:

[tex]x - y = 34[/tex]

[tex]x + y = 212[/tex]

Make x the subject in [tex]x - y = 34[/tex]

[tex]x =34 + y[/tex]

Substitute 34 + y for x in [tex]x + y = 212[/tex]

[tex]34 + y + y = 212[/tex]

Evaluate like terms

[tex]34 + 2y = 212[/tex]

Subtract 34 from both sides

[tex]2y = 178[/tex]

Divide both sides by 2

[tex]y = 89[/tex]

Substitute 89 for y in [tex]x =34 + y[/tex]

[tex]x = 34 + 89[/tex]

[tex]x = 123[/tex]

Hence, Malik has 123 domestic stamps and 89 foreign stamps

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Answer:

The required diagram is shown below:

Step-by-step explanation:

Consider the provided expression.

0.27+0.23= 1/2

We can draw the model of the provided expression.

Step 1: Shade 27 boxes out of 100 boxes,

This will show 0.27

Step 2: Shade 23 more boxes with another color.

This will show 0.23.

The total shaded boxes are 27+23=50.

Which represents 0.27 + 0.23 = 1/2 (1/2=0.50)

The required diagram is shown below:

To visually show the equation [tex]\(0.27 + 0.23 = \frac{1}{2}\)[/tex], see the diagram attached.

To represent the equation [tex]\(0.27 + 0.23 = \frac{1}{2}\)[/tex], follow the steps:

1. Draw a horizontal line to represent the number line.

2. Label the line with points 0, 0.2, 0.4, 0.6, 0.8, and 1.

3. Mark a point at 0.27, slightly past the midpoint between 0.2 and 0.4.

4. Mark another point at 0.23, slightly before the midpoint of 0.2 and 0.4.

5. Draw a vertical line connecting these two points to represent their sum.

6. Label the top of this line with "0.27 + 0.23."

7. Draw a horizontal line segment from the vertical line's top point to the middle of the line, intersecting at the value 0.5.

8. Label this intersection point as [tex]"\(\frac{1}{2}\)"[/tex] to show that [tex]\(0.27 + 0.23\)[/tex]indeed equals[tex]\(\frac{1}{2}\).[/tex]

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Answer:

10101100.00111101.00100011.10111010

Step-by-step explanation:

The dotted decimal IP address 172.61.35.186 converts to binary as 10101100.00111101.00100011.10111010. Each segment of the IP address is converted separately and reassembled with dots in between the binary segments.

To convert a dotted decimal IP address to binary, it is important to understand that each segment of the IP address (divided by dots) is converted separately. Let's take for example the IP address 172.61.35.186.

So, the IP address 172.61.35.186, when converted into binary, will be: 10101100.00111101.00100011.10111010.

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Answer:

D. 9.7

Step-by-step explanation:

9.382

9.470

9.090

9.700

Answer:

d. 9.7

Step-by-step explanation:

if you add 0s to each of the answers, itll make sense. For instance:

A. 9.382

B. 9.470

C. 9.090

D. 9.700

Answer:Well, one of those rules is called the subtraction property of inequality, and it basically says that if you minus a number from one side of an inequality, you have to minus that same number from the other side of the inequality as well. -virtualnerd.com

Step-by-step explanation:

The Subtraction Property of Inequalities allows subtracting the same value from both sides of an inequality without altering its direction, a fundamental concept in algebra.

The Subtraction Property of Inequalities states that you can subtract the same value from both sides of an inequality without changing the inequality's direction. This property is essential in solving inequalities and maintaining the inequality relationship.

For example:

If 3 < 7, then subtracting 2 from both sides gives 1 < 5, which still holds true.

Understanding and applying this property correctly is crucial in algebra and helps in solving various mathematical problems.

Answer:

The Identity Property

Step-by-step explanation:

the Identity Property means the number's Identity stays the same; usually either itself times 1, or plus zero

Hey!

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Solution:

77.50 = 0.15x + 10

77.50 - 10 + 0.15x + 10 - 10

67.50 = 0.15x

0.15x = 67.50

0.15x/0.15 = 67.50/0.015

x = 450

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Check:

77.50 = 0.15(450) + 10

77.50 = 67.50 + 10

77.50 = 77.50

---------------------------------------

Answer:

450 text messages can be sent when the monthly charge is $77.50!

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Hope This Helped! Good Luck!

Answer:

What's the question?

Step-by-step explanation:

Answer: It’s true

Step-by-step explanation:

If you were asking if it’s a true and false then the answer is true.

Answer:

Hi Sophia! The answer is the option 3!

Step-by-step explanation:

Check the picture!

Katie can bake 48 muffins in 90 minutes because 90 minutes is twice 45 minutes, and since she can bake 24 muffins in 45 minutes, double the time means she can bake double the amount of muffins.

Katie is baking muffins at a rate where she can bake 24 muffins in 45 minutes. To determine how many muffins she can bake in 90 minutes, we simply need to set up a proportion and solve for the unknown quantity.

Step-by-Step Solution:

Therefore, Katie can bake 48 muffins in 90 minutes because the duration is double the time it takes to bake the original 24 muffins, hence she can bake twice as many.

Answer:

It travels for 1 h, then stops for 1 h, and finally travels again for 3 h.  

Step-by-step explanation:

The sloped parts of the graph are where the car is moving.

For example, in the first hour the distance travelled changes from zero to 12 mi.

The horizontal part of the graph is where the car is stopped.

For example, between hours 1 and 2, the distance travelled stays the same at 12 mi.

The car travels for 1 h, then stops for 1 h, and finally travels again for 3 h.

Answer:

Step-by-step explanation:

Are you asking for a pattern? The answer is 16

4+4=8

8+4=12

12+4=16

The given sequence 4, 8, 12, ... is an arithmetic expression thus the next term will be 16.

The difference between every two successive terms in a sequence is the same this is known as an arithmetic progression (AP).

The arithmetic progression has broader use in mathematics for example sum of natural numbers.

As per the given sequence,

4,8,12,..

Now, 8 - 4 = 4

12 - 8 = 4

Since the common difference is the same thus it will be an arithmetic expression.

The nth term of AP is given as,

a(n) = a + (n - 1)d

Here, a is the first term, and d is a common difference.

The fourth term of the given sequence is,

a(4) = 4 + (4 - 1)4

⇒ 4 + 12 = 16

Hence "The given sequence 4, 8, 12, ... is an arithmetic expression thus the next term will be 16".

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Answer:

Convert  15 %  to a decimal.  

Then multiply 0.15  x 13450. That means the answer is $2,017.50

Please mark brainliest if this helped.

The down payment for the car is $2,017.50.

The down payment can be found by multiplying the cost of the car by the percentage of the down payment. In this case, the down payment is calculated as follows:

Down payment = $13,450 * 15%

Thus, the down payment is $2,017.50.

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Answer: 2/5 3/5 2/3 13/15

Step-by-step explanation:

2/3, 3/5, 13/15, 2/5

The least common denominator is: 15.

Rewriting as equivalent fractions with the LCD:

10/15, 9/15, 13/15, 6/15

Ordering these fractions by the numerator in order from least to greatest:

6/15 < 9/15 < 10/15 < 13/15

Therefore, your input in order from least to greatest is:

2/5 < 3/5 < 2/3 < 13/15

Answer:

167

Step-by-step explanation:

Let n be your first number. Then the second number is 5n; and the third number is n+100. So:

n+5n+n+100=569

Final answer:

The three numbers in question are 65, 325, and 165, found by setting up an equation based on the given relationships and solving for the first number.

Explanation:

Finding the Three Numbers

Let's denote the first number as x. According to the problem, the second number is 5 times the first number, which can be written as 5x. The third number is 100 more than the first number and can be represented as x + 100. The sum of these three numbers equals 555, so we can set up the following equation to solve for x:

x + 5x + (x + 100) = 555

Combining like terms, we get:

7x + 100 = 555

Subtracting 100 from both sides gives us:

7x = 455

Now divide both sides by 7:

x = 65

The first number is 65. Using this value, we can find the second number:

5x = 5 × 65 = 325

And the third number:

x + 100 = 65 + 100 = 165

Therefore, the three numbers are 65, 325, and 165.

Answer:x=-36

Step-by-step explanation:

First step: Simplify both sides of the equation by

x=1 ,so you put 1/8 and move x to the side like this 1/8x

Now you got 1/8x+1/2=-4

Step 2: Subtract 1/2 to both sides because it's the smallest constant/number

1/2-1/2=0 and -4-1/2=-9/2

-4 subtracted from 1/2 ,you put a 1 under -4, it would be like this -4/1 subtracted from 1/2

I do the butter-fly method which would be -4*2-1*1 because when you put the fractions like this -4/1-1/2 on paper then you would see why

and you multiply the denominators(bottom), so 1*2=2,and -8-1 equals -9 because -8 is larger than postive 1.

so now we have -9/2

Last step is to multiply by 8 on both sides to get rid of the 8 on the other side(left side) so x will be alone,so 8*-9/2=-36

First you will get -72/2 when you divide it you get -36

Answer:

178 m²

Step-by-step explanation:

You want to find A - D - B + C

A = 12 * (12 + 4) = 12 * 16 = 192

D = 4 * 8 = 32

B = 4 * 3 / 2 = 12 / 2 = 6

C = 6 * 8 / 2 = 48 / 2 = 24

192 - 32 - 6 + 24 = 160 - 6 + 24 = 154 + 24 = 178

Answer:

x² ≥ 0 for all x.

(x + 2)(x - 7) ≥ 0 when x ≤ -2 or x ≥ 7.

So x²(x + 2)(x - 7) ≥ 0 when x ≤ -2 or

x ≥ 7.

Answer:

The ball will take 4.05 seconds to hit the ground.

Step-by-step explanation:

we have

[tex]h=-16t^{2}+64t+3[/tex]

This is a quadratic equation (vertical parabola) open down

The vertex is a maximum

we know that

The ball hit the ground when h=0

Solve the quadratic equation

For h=0

[tex]-16t^{2}+64t+3=0[/tex]

The formula to solve a quadratic equation of the form

[tex]at^{2} +bt+c=0[/tex] is equal to

[tex]t=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}[/tex]

in this problem we have

[tex]-16t^{2}+64t+3=0[/tex]  

so

[tex]a=-16\\b=64\\c=3[/tex]

substitute in the formula  

[tex]t=\frac{-64(+/-)\sqrt{64^{2}-4(-16)(3)}} {2(-16)}[/tex]

[tex]t=\frac{-64(+/-)\sqrt{4,288}} {-32}[/tex]

[tex]t=\frac{64(-)\sqrt{4,288}} {32}=-0.05\ sec[/tex]  ---> the time cannot be a negative number

[tex]t=\frac{64(+)\sqrt{4,288}} {32}=4.05\ sec[/tex]

therefore

The ball will take 4.05 seconds to hit the ground.

Answer: 2/7

Step-by-step explanation: To simplify the fraction 14/49, we need to find the greatest common factor of 49 and 7 and we can divide our fraction by it.

In this case, the greatest common factor of 14 and 49 is 7 so we can divide both our numerator and denominator by 7.

Therefore, 14/49 as a simplified fraction is 2/7.

Image provided.