The relationships for Paul's and Steve's height with respect to Theresa's height are described above. First you will write expressions for Paul's height and for Steve's height. Then you will relate the expressions.

Hi there!

[tex]\large\boxed{x = \frac{24z}{(18 + yz)} }[/tex]

We can begin solving by creating a common denominator:

x · 3 · z = 3xz. This is the denominator that all of the numerators must have in order to work with the fractions.

Multiply each numerator by the missing parts of the common denominator:

[tex]\frac{8 * 3 * z}{3xz} - \frac{y * x * z}{3xz} = \frac{6 * 3 * x}{3xz}[/tex]

Simplify:

[tex]\frac{24z}{3xz} - \frac{yxz}{3xz} = \frac{18x}{3xz}[/tex]

Move all the fractions involving x in the numerator to the right-hand side of the equation:

[tex]\frac{24z}{3xz} = \frac{18x}{3xz} + \frac{yxz}{3xz}[/tex]

Combine fractions:

[tex]\frac{24z}{3xz} = \frac{18x + yxz}{3xz}[/tex]

Multiply both sides by 3xz:

[tex]24z = 18x + yxz[/tex]

Factor out "x" from the terms on the right-hand side:

[tex]24z = x(18 + yz)[/tex]

Divide both sides by (18 + yz)

[tex]\frac{24z}{(18 + yz)} = x[/tex]

Answer:  D) $36,528.75

=======================================================

Explanation:

Positive inflation eats away at the purchasing power of money.

If inflation is 4.5%, then the purchasing power goes down by 4.5% meaning his purchasing power is 100% - 4.5% = 95.5% of what it used to be.

95.5% of $38,250 = 0.955*38250 = 36,528.75

So his purchasing power is $36,528.75

The purchasing power of Bart by the income of last year is option D. $36,528.75.

Inflation can simply be defined as the increase in the rate of the prices over a period of time. In other words, inflation describes how much more expensive has a commodity or service becomes in a period of time.

It is clear that, inflation decreases the purchasing power of money.

Given that, the inflation rate is 4.5%.

Also, Bart had an income of $38,250 last year.

Purchasing power will get decreased by 4.5%.

Purchasing power = $38,250 - ($38,250 × 4.5%)

                              = $38,250 - (1721.25)

                              = $36,528.75

Hence the purchasing power of Bart is $36,528.75.

To learn more about Inflation, click on the link given below :

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Answer:

anywhere from 169 to 220 metres,

Step-by-step explanation:

Answer:

80 degrees. add the known angles, then subtract it from 180.

Answer:

my answer is 2 . 3 I think

Answer:D

Step-by-step explanation:

It's on a computer

Answer:

simulation

Step-by-step explanation:

im in 8th grade

Answer:

1080 m^2 Don't submit m^2 in your answer.

Step-by-step explanation:

Givens

The catch is to find h

To do that, use a^2 + b^2 = c^2

a b and c are in the same 1/2 triangle.

a = 48/2 = 24 m

b = h = ?

c = 51 meters

Solution

a^2 + b^2 = 51^2                      Substitute for b^2 = h^2

24^2 + h^2 = 51^2                   Expand 24^2 and 51^2

576 + h^2 = 2601                    Subtract 576 from both sides

h^2 = 2601 - 576

h^2 = 2025                              Take the square root of both sides

h = 45

Area

Area = 1/2 b * h

Area = 1/2 48 * 45

Area = 1080

Remark

Notice that to find h you only use 1/2 of 48 because that is the base of the right triangle.

To find the area, you need to use all of 48 because 48 is the full length of the base.

Answer:

8,1

Step-by-step explanation:

maybe i think this will help you

y =− 11/2≈−0.181818182 is that what your looking for

Answer: 42 MPH

I hope this helps, and Happy Holidays! :)

Answer:

Step-by-step explanation:

if Melinda's family drove 378 miles in 9 hours, her average speed is

378/9=42 miles per hour

Answer:

Any other line with this slope (-4/3)

Step-by-step explanation:

A quick look at y= (-4/3)x + 1 tells us immediately the slope of the given line is (-4/3).  Any other line with this slope (-4/3) is parallel to y= (-4/3)x + 1.  Next time, please share the answer choices.  Thank you.

Answer:153

Step-by-step explanation:

From the question, we are informed that Emilio asks his classmates what month they were born and that he finds that 15 out of 125 classmates were born in July. This gives us a fraction of 15/125 = 3/25.

If there are 1,280 students in Emilio's school, the number of students that he can expect to have birthdays in July would be:

= 3/25 × 1280

= 153.6

There will be 153 students expected

Answer:

60%

Step-by-step explanation:

Answer:

Most 193%

Step-by-step explanation:

246.8/128= 1.928

Answer:

hope this help you

Step-by-step explanation:

Simplifying

X + -7y = -11

Solving

X + -7y = -11  

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Add '7y' to each side of the equation.

X + -7y + 7y = -11 + 7y

Combine like terms: -7y + 7y = 0

X = -11 + 7y

Simplifying

X = -11 + 7y

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

Solving

5x + 2y = -18

Solving for variable 'x'.

Add '-2y' to each side of the equation.

5x + 2y + -2y = -18 + -2y

Combine like terms: 2y + -2y = 0

5x = -18 + -2y

Divide each side by '5'.

x = -3.6 + -0.4y

Simplifying

x = -3.6 + -0.4y

Answer:

a. Down payment of $21,000

= 21,000 / 140,000

= 0.15

= 15%

b. Down payment of $7,000

= 7,000/ 140,000

= 0.05

= 5%

Answer:

3.8 inches

Step-by-step explanation:

Divide 24 by 3.14 (Pi) then divide that number by 2

The number of inches of string that the student needs will be 3.82 inches,

It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.

Let r be the radius of the circle. Then the circumference of the circle will be

C = 2πr units

A student wants to glue a piece of string from the center of a round table to the edge. If the circumference of the table is 24 inches. Then the radius of the circle is given as,

24 = 2πr

r = 24 / 2π

r = 3.82 inches

The number of inches of string that the student needs will be 3.82 inches,

More about the circumference of a circle link is given below.

https://brainly.com/question/27177006

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Answer:

I think its A

Step-by-step explanation:

Answer:

The mean of all sample proportions from all random samples of 100 dentists in the state of Ohio is equal to 0.72.

Step-by-step explanation:

Answer:

1. no, 2. yes

Step-by-step explanation:

You need to use the triangular inequality thereom, which goes by if any side lengths are added together, they are greater than the remaining one. So, for number one, although 20+9=29>8 and 20+8=28>9, 9+8<20 since 9+8=17, which is less than 20. For number two, yes because 1) it is a right triangle triple and 2) 3+4=7>5, 4+5=9>3, and 5+3=8>4.

Answer:

Number 1 is Not a triangle so No and you don’t need to classify becuase it’s not aa triangle

Number 2 is a triangle becuase its ta Pythagorean triplet and even if you checK, it adds up.

Step-by-step explanation:

1) So using Pythagorean Theorem

8^2+9^2=20^2

64+91=400

That is not true

2) 3^2+4^2=5^2

9+16=25

That is true  

Answer:

101.54

Step-by-step explanation:

Answer:

$103.21

Step-by-step explanation:

33% of 76=$25.08 then 76-25.08=$50.92

12% of 52=$6.24 then 52-6.24=$45.76

50.92+45.76=$96.68

6.75% of 96.68=$6.525-->$6.53

96.68+6.53=($103.21)

Answer:

so 1- 2 is  negative 3 so minus tha by 3 than 4x2

Step-by-step explanation:

Answer:

$6

Step-by-step explanation:

Answer:

264.

Step-by-step explanation:

12,000X2.2%=264.

Answer:

19?

Step-by-step explanation:

Answer:

her speed is answer in m/s A 4 m/a

a) (0; -15)

you just let x be equal to 0.

b) ( -5; 0) and (3;0)

you just let y/ f(x) equal to 0.

c)