Find the value of x and YZ if Y is between X and Z. Draw, label, set up the equation and solve each for :
4. XY = 5x, YZ=x, and XY=25
5. XY = 12, YZ=2x, and XZ = 28
7. XY=2x + 1. YZ = 6x, and XZ=81
6. XY = 4x. YZ=3x, and XZ = 42

Answers

Answer 1

Step-by-step explanation:

We need to find the value of x for all problems if Y is between X and Z.

For all cases, XZ = XY+YZ

4. XY = 5x, YZ=x, and XZ=25

Putting all values

25 = 5x + x

25 = 6x

[tex]x=\dfrac{25}{6}[/tex]

5. XY = 12, YZ=2x, and XZ = 28

28 = 12 + 2x

x = 8

6.  XY = 4x. YZ=3x, and XZ = 42

XZ = XY+YZ

42 = 4x + 3x

42 = 7x

x = 6

7. XY=2x + 1. YZ = 6x, and XZ=81

XZ = XY+YZ

81 = 2x + 1 + 6x

80 = 8x

x = 10


Related Questions

: Is the elevation halfway between the peak of Mount Belinda and the South Sandwich Trench above sea level or below sea level? Give your explanation without calculating the exact value. this is due today

Answers

Ones measured above sea level which is Mount Belinda 1,370 meters above the other one is South Sandwich Trench 8,428 meters below sea level.  Below sea level because you subtract the above sea level by below sea level you still end up with below sea level.  3,529 kilometers below sea level how i did this i subtracted 8,428 by 1,370 and 7,058 than divided that by 2 to get to the center of both


Alex purchased a seven-year $600 bond at par value with a 5% coupon. What is the total value of the coupons?

Answers

Answer

300 dollars

because u do 600x.5

Answer:

$210

Step-by-step explanation:

Coupon payment : 0.05 x $600 = $30

Total coupon payment  : $30 x 7 years = $210

2 miles in 3/4 of an hour

Answers

Answer:

2

Step-by-step explanation:

A friend provides 100 pieces of supporting evidence for a mathematical statement. What is the minimum number of counterexamples needed to prove the statement false?

100
it's impossible
1
101​

Answers

Answer:

1 true good statement can prove his friend wrong.

Step-by-step explanation:

Answer is 1.

1 - 3x = -5

How do you solve it step by step

Answers

Answer:

x = 2

Step-by-step explanation:

1 - 3x = -5

Subtract 1  from each side

1-3x-1 = -5-1

-3x = -6

Divide each side by -3

-3x/-3 = -6/-3

x = 2

Rupert buys a bicycle with a marked price of £ 12500.He gets a rebate of 10% on it. After getting

the rebate ,tax is charged at the rebate of 8%. Find the amount he will have to pay for the bicycle.​

Answers

Answer:

£ 12,150

Step-by-step explanation:

Marked price of bicycle = £ 12500

Rebate = 10%

Amount of rebate = 12500*10/100 = £1250

Rebated price = 12500 - 1250 = £ 11,250

Tax = 8%

Amount of tax = 11250*8/100 = £ 900

Total amount paid for bicycle = Rebated price + amount of tax

= £ 11,250 + £ 900

= £ 12,150

find the distance between these two points (-6, -5) and (2, 0)

Answers

Answer:

[tex]\sqrt{89}[/tex]

Step-by-step explanation:

Use Distance Formula

[tex]\sqrt{(x_{2}-x_{1} )^{2} + (y_{2}-y_{1} )^{2} }[/tex]

Substitute

[tex]\sqrt{(-5-0)^{2}+(2+6)^{2} }[/tex]

Simplify

[tex]\sqrt{(-5)^{2}+(8)^{2} }[/tex]

Simplify

[tex]\sqrt{25+64}[/tex]

Add

[tex]\sqrt{89}[/tex]

Express using algebra: The number that is b less than 10

Answers

Answer:

x=b-10

Step-by-step explanation:

any is in a word problem means = and less than means subtract. I am only 90% sure this answer is correct but using my logic this is what I got.

The number that is b less than 10 will be given in the mathematical form as n = b - 10.

What is the value of the expression?

When the relevant factors and natural laws of a mathematical model are given values, the outcome of the calculation it describes is the expression's outcome.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Express using algebra: The number that is b less than 10. Let the number be n. Then the equation is given as,

n = b - 10

The number that is b less than 10 will be given in the mathematical form as n = b - 10.

More about the value of expression link is given below.

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A student found that the side lengths of a square rug were 1.80. The student was asked to
report the area using the correct number of significant digits. He wrote the area as 3.2.

Answers

The exact answer would be 3.24 but if you were asked to round, then yes he was right.

The sum of twice a number and 6 is the same as 3 subtracted from the number itself

Answers

The correct answer is 3
answer : 2x + 6 = x - 3

X is the “number”, and twice of X is 2x. You get a sum from addition, so you would add 6 and 2x to get 2x + 6

If 3 was subtracted FROM the number itself, it would be x-3, as 3 is being subtracted FROM the number.

What is the value of x (8x-8)° (7x+8)°

Answers

I'm going to assume they are the same angle.

Steps to solve:

(8x - 8) = (7x + 8)

~Add 8 to both sides

8x = 7x + 16

~Subtract 7x to both sides

x = 16

Best of Luck!

Using distributive property and combining like terms simplify the expression.
-9(1-10n)-2(3n+9)​

Answers

Answer: -27 + 84n

Step-by-step explanation:

**Shown in image...the arcs represent distributive property. This is a good way to separate your work. After distributing, you then have your like terms. Combine ‘1 underline’ with another, ‘2 underline’ with another.

If you need any more help, please let me know. :)

Find the area of the rectangle.

Answers

Answer:

40 units²

Step-by-step explanation:

Area of Rectangle: A = lw

Step 1: Define variables

l = 8

w = 5

Step 2: Substitute and evaluate

A = 8(5)

A = 40 u²

on a certain day, the temperature changed at a rate of 3°F per hour. How long did it take for the change in temperature to be -33°F?

Answers

Answer:

I think 11 hours.

Step-by-step explanation:

If I know starting temp such as 0 degrees then I can say that it would take 11 hours as 11*3 = 33. If it is 3 degrees, then it would 3*12 = 36 degrees.

Is geometric sequence a linear function? SOMEONE HELP ME

Answers

Answer:

No

Geometric sequences are exponential functions, not linear functions. The answer is no.

Simplify

-5|( 3 – 5•3^2)+2^3|•|4-2^3​

Answers

Answer:

-232

Step-by-step explanation:

-5|+23|·|4-23|=-5|8|·|4-23|

-5|8|·|4-23|=-5|8|·|-4|

-5|8|·|-4|=-58·|-4|

-58·|-4|=-58·4

-58·4=-232

PLEASE HELP ME ILL GIVE BRAINLIEST

Answers

Answer:

-36.5

Step-by-step explanation:

substitute 8.5 for v

8-(6(8.5)+2-(8.5))

8-(51+2-8.5)

8-44.5

edited cause I forgot the 8 at first :P

Help me ASAP
I need to be done with this in 10 minutes

Answers

Answer:

B)  [tex]y= \frac{1}{2}x+4[/tex]

Step-by-step explanation:

Find the value of  b  using the formula for the equation of a line.

[tex]y=mx+b[/tex]

Replace the known value of  m  in the slope y-intercept form of the equation.

[tex]y=(\frac{1}{2}) x+b[/tex]

Replace the known value of  b  in the slope y-intercept form of the equation.

[tex]y=(\frac{1}{2}) x+4[/tex]

Jim split up $23 equally among 31 winners. What decimal is
equivalent to the fraction of a dollar that each winner received? Round
to hundredths.

Answers

Answer:

Each winner received 1.35 dollars

Step-by-step explanation:

I divided 31 by 23 and got 1.34782608696. But we had to round to the hundredths so, I rounded up to 1.35 dollars.

You used a telescope and other mathematics to discover that Jupiter is 5.20 au from the sun. Use the equation to find its orbital period. Round to the nearest tenth of a year.

Answers

Answer:

11.9 au

Step-by-step explanation:

The orbital period of Jupiter around the sun is 11.9 years.

Here, we have,

To solve this question, we need to understand the concept of Kelper's Third Law and how to use it.

we know that,

Kelper's Third Law:

Kelper's Third Law posits that the ratio between the square of the orbital period (T) as well as the average distance cube of a planet away from the Sun is constant for all planets circling the Sun.

T²/r³ = constant

Suppose, we make a reference to Earth, we have:

T_e²/r_e³ = T_j²/r_j³

Making the orbital period (T_j) of Jupiter as the subject, we have:

T_j = √T_e² * r_j³ /r_e³

where;

r_e = avg. distance from earth to sun = 1 au

so, calculating we get,

T_j  = 11.9 years.

Learn more about Kelper's Law here:

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product of 26.5 and 3/5

Answers

Answer: 15.9

Step-by-step explanation:

Multiply them and get 15.9

Under a dilation centered at the origin, the vertex, (−2, 4), of a polygon is moved to the point (4, −8) . What is the scale factor of the dilation?

Answers

Answer:

-2

Step-by-step explanation:

I took the quiz.

The scale factor of the dilation is -2.

How does dilation works?

Dilation of a figure will leave its sides get scaled (multiplied) by same number. That number is called the scale factor of that dilation.

It's also called scaling of a figure, but due the involvement of coordinates, it involves a center of a dilation, which is like a pinned point which stays at same place after dilation.

It's like we enlarge or shorten the size of the figure (or keep it same, when scale factor = 1).

Given that Under a dilation centered at the origin, the vertex, (−2, 4), of a polygon is moved to the point (4, −8) .

Then the scale factor of the dilation

(-2k , 4k )= (4, −8)

Thus, -2k = 4

k = -2

Hence, the scale factor of the dilation is -2.

Learn more about dilation here:

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I need help ASAP please!!

Answers

Answer

6/8 -- 3/4

9/7 -- 1  2/7

2  1/2 -- 5/2

1/2 -- 5/10

can you please help​

Answers

Answer:

the correct ans is c.(8)

Step-by-step explanation:

what is the x for 18 > 2x + 4 ≥ 4?

Answers

Answer:

I hope

Step-by-step explanation:

x<7

I worked it out on paper for you (and anyone else who needs it)

also, those are greater than signs, not 7s except for the 7 on the last one.

hope I could help

what is the solution for x in 12x-4=5x+24​

Answers

Answer:

x = 4

Step-by-step explanation:

12x - 4 = 5x + 24

First subtract 5x from both sides

That's

12x - 5x - 4 = 5x - 5x + 24

7x - 4 = 24

Add 4 to both sides

That's

7x - 4 + 4 = 24 + 4

7x = 28

Divide both sides by 7

We have the final answer as

x = 4

Hope this helps you

Answer:4

Step-by-step explanation:First, add 4 to both sides of the equation. Then subtract 5x from both sides. Finally, divide both sides by 7.

Mr. Smith is ordering steaks to serve at a poker game with his friends. The first company charges a delivery fee of $10 plus $15 per steak. The second company charges a delivery fee of $25 and charges $10 per steak. How many steaks would Mr. Smith have to order so that both companies cost the same amount?

Answers

Answer:

he would have to order 3 steaks from the first company and 3 from the second

Step-by-step explanation:

7 is what % of 100? i'm really confused on this

Answers

Answer:

7%

Step-by-step explanation:

Since percentages are out of 100. (Cent=100) Therefore 7/100 is 7%.

Answer:

7 %

Step-by-step explanation:

Is means equals and of means multiply

7 = P * 100

Divide each side by 100

7/100 = P

Percent means out of 100

7 %

5(2(y + 1) - 5(y-2))

Answers

Answer:

-15y+60

Step-by-step explanation:

there is no other way but to simplify

-15y+60 u can’t really do this problem not other way but to simplifying it

ax+3=23 if a=0 plz help

Answers

Answer:

x = [tex]\frac{23}{a}[/tex]

Step-by-step explanation:

Given equation is,

ax + 3 = 23

To solve this equation for the value of x isolate the variable 'x' on the one side of the equation.

Step 1,

Subtract 3 from both the sides of the equation.

ax + 3 - 3 = 23 - 3

ax = 20

Step 2,

Divide the equation by a,

[tex]\frac{ax}{a}=\frac{23}{a}[/tex]

x = [tex]\frac{23}{a}[/tex]

Therefore, x = [tex]\frac{23}{a}[/tex] will be the answer.

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