write this as a simplified expression. if you want to write the rules so that i could later figure out this problem later :)

Answer:  195 inches.

Step-by-step explanation:

Given: Sam is building a model of an antique car.

The scale of his model to the actual car is 1:10.

⇒Scale factor = [tex]\dfrac1{10}[/tex]

Since,  Length of actual figure = (Length of model ) ÷ Scale factor.

If length of model of car = 19.5 inches.

Then, the length of the actual car = [tex]19.5\div\dfrac{1}{10}=19.5\times10=195\text{ inches}[/tex]

Hence, the length of the actual car  = 195 inches.

Answer:

There was more precipitation in the year 2010.

Step-by-step explanation:

Here in this question, we have the data for the amount of precipitation received in two different years in a city called Sacramento.

Now, we are tasked with finding in which of the two years was there more precipitation.

From the question, we can identify the following;

in 2010, precipitation was 23 inches

in 2011, precipitation was 17 inches

We can see that 23 inches is greater than 17 inches. So what this mean is that the precipitation in 2010 was more than the precipitation received in 2011.

Answer:

490 female students

Step-by-step explanation:

If 70% of students are female, 30% are male.

If 30% of students = 210 students, we can divide both sides of the equation by 3.

30/3 = 10

210/3 = 70

10% of students = 70 students

To get 70% of students, multiply both sides by 7.

10*7 = 70

70 * 7 = 490

70% of students = 490 students

Hope this helps!

Answer:

1. 10L

2.

[tex]( \frac{p}{10} ) - 9[/tex]

Step-by-step explanation:

let length be L.

let width be W.

W = 4L

Perimeter = 2L + 2W

P = 8L + 2L

P = 10L

Answer:

AB = 24

Step-by-step explanation:

BD = 5x – 26

BC = 2x + 1

AC = 43

Using the segment addition postulate, AC = AB + BC.

We know that BD = BC, BD = 5x-26 and BC = 2x+1.  We can set up an equation to find the value of x:

5x - 26 = 2x + 1   Subtract 2x from each side

5x - 26 - 2x = 2x + 1 - 2x

3x-26 = 1  Add 26 to each side

3x-26+26 = 1+26

3x=27  Divide both sides by 3

3x/3 = 27/3

x = 9

This means that BC = 2x + 1 = 2(9) + 1 = 18 + 1 = 19.

We know that AC = AB + BC; using our given information as well as the value of BC we just found, we have

43 = AB + 19  Subtract 19 from each side

43 - 19 = AB + 19 - 19

24 = AB

Answer:

OPTION 2

Step-by-step explanation:

The vertical line test can be used to determine whether a graph represents a function. A vertical line includes all points with a particular  x   value. The   y   value of a point where a vertical line intersects a graph represents an output for that input  x   value. If we can draw any vertical line that intersects a graph more than once, then the graph does not define a function because that   x   value has more than one output. A function has only one output value for each input value.

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

HOW TO: GIVEN A GRAPH, USE THE VERTICAL LINE TEST TO DETERMINE IF THE GRAPH REPRESENTS A FUNCTION.

1.Inspect the graph to see if any vertical line drawn would intersect the curve more than once.

2.If there is any such line, the graph does not represent a function.

3.If no vertical line can intersect the curve more than once, the graph does represent a function.

(The 2nd pic represents a graph that has a function)

Answer:

624ft^3

Step-by-step explanation:

the formula for volume is lengthxwidthxheight.

so it would be 13x6x8

and that sum is 624ft^3

Answer:

57,750

Step-by-step explanation:

you would take 7% of 55000 which is 3,850 and multiply that by 15 which is 57,750 and that is the final answer

Answer:

272.17 ft

Step-by-step explanation:

Since the angle of depression of the sighting equals the angle of elevation of the lighthouse from the boat, using trigonometric ratios,

tanθ = x/d where θ = angle of sighting, x = height of lighthouse =55 ft and d = distance of boat from lighthouse at sighting

So, d = x/tanθ

when θ = 8.1°, for the first sighting,

d₁ = 55/tan8.1 = 386.45 ft

when θ = 25.7°, for the second sighting,

d₂ = 55/tan8.1 = 114.28 ft

The distance the boat traveled between the two sightings is thus d₁ - d₂ = 386.45 ft - 114.28 ft = 272.17 ft

Answer:

volume of toy = volume of water after placing toy in it - volume of water before placing toy in it

volume of toy = 23mL - 10mL

volume of toy = 13mL

The increase in the volume of water when the toy is submerged in it is equal to the volume of the toy.

SO VOLUME OF WATER IS 13mL

Answer:

The answer is

Step-by-step explanation:

To find the length of the shorter piece we must first find the total parts

That's

2 + 5 = 7

Looking at the ratio above we can see that 2 is the smaller part which makes it the shorter piece

Now divide 2 by the total parts and multiply by 120

That's

[tex] \frac{2}{7} \times 120 \\ = \frac{240}{7} \\ = 34.285714[/tex]

We have the final answer as

Hope this helps you

Answer:

[tex]\frac{2}{3}[/tex] teaspoons of cinnamon per cup of sugar.

Step-by-step explanation:

A recipe calls for [tex]\frac{3}{4}[/tex] cups of sugar for every [tex]\frac{1}{2}[/tex] teaspoons of cinnamon.

For one cup of sugar;

1 × [tex]\frac{1}{2}[/tex] ÷ [tex]\frac{3}{4}[/tex] = [tex]\frac{1}{2}[/tex] × [tex]\frac{4}{3}[/tex] = [tex]\frac{2}{3}[/tex] teaspoons of cinnamon will be needed.

Answer:

-4(v+1)

(-4 X v ) + -4 X 1

-4v + -4

it is your polynomial equation....

0.83 * 100 = 83, so 0.83 = 83/100.

But in case you meant the slightly more interesting repeating decimal, 0.8333...:

Let x denote this number. Then

10x = 8.333...

100x = 83.333...

==>  100x - 10x = 83.333... - 8.333...

==>  90x = 83 - 8 = 75

==>  x = 75/90 = 5/6

Answer:

27+6-2=31

Step-by-step explanation:

Domain:  [tex]-4 < x \le 4[/tex]

Range:  [tex]-2 \le y < 5[/tex]

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

Explanation:

The domain is the set of allowed x values.

The left-most point on this graph is at (-4,5). This means x > -4 or -4 < x. The open hole indicates we don't include x = -4 as part of the domain.

The right most point is at (4,-2). So [tex]x \le 4[/tex]

Combine [tex]-4 < x[/tex] and [tex]x \le 4[/tex] together to get the domain [tex]-4 < x \le 4[/tex]

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

The range is the set of possible y values.

The range spans from -2 to 5, including -2 but excluding 5. This is because the smallest y value possible is y = -2, and the upper bound for the y values is y < 5 due to the open hole.

Therefore the range is the compound inequality [tex]-2 \le y < 5[/tex]

Answer: domain - -4

Range- -2

Step-by-step explanation:

Answer:

a repeating decimal can be written as a fraction using algebraic methods, so any repeating decimal is a rational number.

Answer:

repeating decimals are rational becoz they can be written in the form p/q

Step-by-step explanation:

Answer:

PR and HA

Step-by-step explanation:

The edges parallel to QT are HA and PR.

Here,

The given figure is rectangular prism.

We have to find the edges parallel to QT.

What are Parallel lines?

Parallel lines are never intersect and always lie in a plane that are always the same distance apart.

Now,

Edge HA and QT are never intersect.

Hence, HA and QT are parallel lines.

Edge PR and QT are never intersect.

Hence, PR and QT are parallel lines.

Therefore, The edges parallel to QT are HA and PR.

Learn more about the parallel lines visit:

https://brainly.com/question/24607467

#SPJ2

Answer:

4 in, 8 in, 15 in

Step-by-step explanation:

If x, y, z are the three pieces, then:

x + y + z = 27

y = 2x

z = 3 + 3x

Substitute the second and third equations into the first.

x + 2x + 3 + 3x = 27

6x + 3 = 27

6x = 24

x = 4

y = 8

z = 15

Answer:

b

Step-by-step explanation:

Answer:

32°C

Step-by-step explanation:

 59°C - 27°C = 32°C

9.235

"nine and two hundred thirty-five"

You're going to start with the number(s) before and which would be 9 in this case then lake your number(s) after the and, the number would be 235 in this case now you have 9 and 235 replace the and for a decimal and you will get your answer :) 9.235

Answer:

[tex]x = \frac{4}{9}[/tex]

Step-by-step explanation:

Given

Winning Percentage = 0.444 repeating

Required

Represent as a fraction

Represent the percentage with x

[tex]x = 0.444[/tex]

Convert to fraction

[tex]x = \frac{444}{1000}[/tex]

Next step, is to convert to fraction repeating

To do this, we simply subtract 1 from the denominator

[tex]x = \frac{444}{1000 - 1}[/tex]

[tex]x = \frac{444}{999}[/tex]

Simplify to the lowest term: Divide numerator and denominator by 37

[tex]x = \frac{444/37}{999/37}[/tex]

[tex]x = \frac{12}{27}[/tex]

Simplify to the lowest term: Divide numerator and denominator by 3

[tex]x = \frac{12/3}{27/3}[/tex]

[tex]x = \frac{4}{9}[/tex]

Hence;

There winning fraction is [tex]\frac{4}{9}[/tex]

Answer:

Quadrant II

Step-by-step explanation:

Since x < 0 and y > 0, that means the point (x,y) is located to the left and up from the origin, meaning quadrant II.

Cheers.

Answer:

I think it's 19 I'm pretty sure

Answer:

20

Step-by-step explanation:

The first step would be to divide 351 by 18 to see what score he would need to tie his previous record. The answer to that would be 19.5, so if you round to the nearest whole, you would get 20.

Answer:

x = -16

Step-by-step explanation:

3x+11 = 2x - 5

x +11 = -5 (Get x's on one side by substracting 2x from both sides)

x= -16 ( substract 11 from both sides to get the answer

Answer:

[tex]x=-16[/tex]

Step-by-step explanation:

[tex]3x+11=2x-5[/tex]

Subtract 11 from both sides:

[tex]\hookrightarrow[/tex] [tex]3x+11-11=2x-5-11[/tex]

[tex]\hookrightarrow 3x=2x-16[/tex]

Subtract 2x from both sides:

[tex]\hookrightarrow 3x-2x=2x-16-2x[/tex]

[tex]\hookrightarrow x=-16[/tex]

_______________________

g(x)=x+2

g(5)=?

now

g(5)=5+2

=7