d-c-e= 17. What is e?

Answer:

See working below

Step-by-step explanation:

You can apply Thales Intercept Theorem ("similar triangles")

a. [tex]\frac{36}{24}\:=\:\frac{48}{ET},\:ET\:=\:\frac{24\cdot 48}{36}\:=\:32[/tex]

b. [tex]\frac{36+24\:}{AJ}=\:\frac{48+ET}{40},\:\frac{60\:}{AJ}=\:\frac{48\:+\:32}{40},\:\frac{60}{AJ\:}=\:\frac{80}{40},\:AJ\:=\:\frac{1}{2}\left(60\right)\:=\:30[/tex]

c.

[tex]\\\frac{48}{CT}\:=\:\frac{36}{36+24}\:=\:\frac{27}{AT},\\\\CT = CE + ET = 48 + 32 = 80\\\\\frac{48}{80}\:=\:\frac{36}{60}\:=\:\frac{27}{AT},\:0.6\:=\:\frac{27}{AT},\:AT\:=\:\frac{27}{0.6}\:=\:45[/tex]

d.

[tex]\frac{36+24+AJ}{12\:}=\:\frac{48+ET+40}{OS}\\\\\frac{36+24+30}{12}=\:\frac{48+32+40}{OS},\:\frac{90}{12}\:=\:\frac{120}{OS},\:OS\:=\:\frac{12\cdot 120\:}{90}=\:16[/tex]

e.

[tex]\frac{36+24}{36+24+AJ\:}=\:\frac{48+ET}{48+ET+40\:}=\:\frac{AT}{JO}\\\\\frac{60\:}{36+24+30}=\frac{\:48+32}{48+32+40}\:=\:\frac{45}{JO}\\\\\frac{60}{90}=\:\frac{80}{120}\:=\:\frac{45}{JO}\\\\JO\:=\:\frac{135}{2}\:=\:67.5[/tex]

f.

[tex]\frac{36+24+AJ\:}{36+24+AJ+12}=\frac{\:48+ET+40}{48+ET+40+OS}\:=\:\frac{JO}{NS}\\\\\frac{90}{102}\:=\:\frac{120}{136}\:=\:\frac{67.5}{NS}\\\\NS\:=\:\frac{136\cdot 67.5}{120}=\:76.5[/tex]

Answer:

With $38.50 you can get on 11 rides.

Step-by-step explanation:

10.50 ÷ 3 = 3.50 per ride.

38.50 ÷ 3.50 = 11 rides.

Answer:

a

Step-by-step explanation:

Answer:

A. The first option.

Step-by-step explanation:

Using the distributive property you can see that when you distribute them you would get something like (8 x 4) + (3 x 4) = 44. The first option is the only one that states this.

Hope this helps :)

Answer:

b) 0.333

Step-by-step explanation:

there are 6 options that you can get when you roll a dice. 1, 2, 3, 4, 5, 6. if you want to get a 3 or a 5, that means you want 2/6 possible outcomes. 2/6 is 0.333

Answer:

Step-by-step explanation:

Since x = -15 is a vertical line, their is no y- intercept and the slope is undefined

Answer:

Step-by-step explanation:

3/16

Answer:

3/16

Step-by-step explanation:

-1/4*3/2*-1/2

1/8*3/2

3/16

[tex] \huge \purple{\tt{Answer:}} [/tex]

[tex]\sf {tan~K} = \sf{{\dfrac{opposite~side}{adjacent~side}}} =\sf{{\dfrac{24}{51}}} [/tex]

None of the answers are correct

9514 1404 393

Answer:

Step-by-step explanation:

The first equation is an expression of the first given relationship:

  A + B = 389 . . . . . . where A and B represents trains weights, respectively

The second equation is an expression of the relationship described in the next two sentences:

  A - B = 263

__

These equations can be solved by adding them together:

  (A +B) +(A -B) = 389 +263

  2A = 652 . . . . . . simplify

  A = 326 . . . . . . . .divide by 2*

  B = 326 -263 = 63

Train A weighs 326 tons.

Train B weighs 63 tons.

_____

* You may notice that this value is the average of the given sum and difference. That observation is true of all "sum and difference" problems.

Answer:

24

Step-by-step explanation:

Answer:

3x = 72

x = 24

3(24) = 72

24 boxes of juice need to be bought.

hope this helped yw

Answer:

6x+3

Step-by-step explanation:

24x-6x-12x+3

6x+3

Answer:

geometric, with a common ratio of 1/2

Step-by-step explanation:

The sequence is geometric because you get successive trems by multiplying the previous term by a certain constant, the 'common ratio'. (If you got each successive term by adding or subtracting  the same constant number each time, that would be an arithmetic sequence.)

In this case, it looks like you get each successive term when you multiply the previous term by 1/2.

Thus, the common ratio is 1/2.

Answer:

5

Step-by-step explanation:

if the area is 15 you would divide 15 by 3 and you'll get the length of 5

Answer:

5 feet

Step-by-step explanation:

Answer:

y = -4

x = -2

Step-by-step explanation:

Hi there...

y = 2x

y = -x - 6

Since why is equal to 2x, we can plug it in for y in the second equation. Here's what I mean...

2x = -x - 6

add x on both sides...

3x = -6

divide by 3 on both sides...

x = -2

Now, plug in x for y. Here's what I mean...

y = 2x

y = 2 (-2)

y = -4

Hope this helps :)

Answer:

Step-by-step explanation:

Sum of the width of the two frames and a gap between them:

The gaps from the left and right are equal to x:

Answer:

x=4.5

Step-by-step explanation:

PR=28

PQ= 2x+5

Require

Find X

Answer:

-4/7

Step-by-step explanation:

The first step of this problem would be changing the format of the equation so that it fits into slope-intercept form.

-4x = 7y + 13

-4x -7y = 13        (subtract 7y from both sides)

-7y = 4x + 13      (add 4x to both sides)

7y = -4x -13        (divide both sides by -1)

y = -4/7x - 13/7  (divide both sides by 7)

Now that it is in slope-intercept form, finding the slope is simple as long as you know what to look for.

Remember that y is simply a variable, just because it is at the beginning of the equation does not mean -4/7x - 13/7 is the answer. The question is asking specifically for the slope of the line. Slope in this equation is m. If y = mx + b, then m = -4/7.

The slope of the line is -4/7.

Answer:

Step-by-step explanation:

x^(1/9)(x^(2/9))

x^(1/9+2/9)

x^(3/9)

x^(1/3)=6

x^(1/3)^(3)=6^3

x=216

Answer:

3) 10

4) 12

Step-by-step explanation:

It’s the Pythagorean Theorem.

3) 6²+8²=c²

36+64=c²

100=c²

√100=c

c=10

4) 7.2²+9.6²=c²

51.84+92.16=c²

144=c²

√144=c

c=12

Answer:

c = 10km

Step-by-step explanation:

This is for #3.

Pythagoream Theoreom formula: a^2 + b^2 = c^2

Plug in the numbers into the formula and simplify.

8^2 + 6^2 = c^2

64 + 36 = c^2

100 = c^2

√100 = 10

c = 10km

Hope this helps!:)

Answer:

the answer is B........

Answer I think D, I would never choose b :

Step-by-step explanation:

Answer:

[tex]F = 1.8C + 32[/tex]

Step-by-step explanation:

Given

The attached table

Required

The relationship between both temperatures

This implies that we calculate the table equation

First, we calculate the slope (m)

[tex]m = \frac{F_2 - F_1}{C_2 - C_1}[/tex]

Where:

[tex](C_1,F_1) = (0,32)[/tex]

[tex](C_2,F_2) = (20,68)[/tex]

So, we have:

[tex]m = \frac{68 - 32}{20 - 0}[/tex]

[tex]m = \frac{36}{20}[/tex]

[tex]m = 1.8[/tex]

The equation is then calculated using:

[tex]F = m(C - C_1) + F_1[/tex]

This gives:

[tex]F = 1.8(C - 0) + 32[/tex]

[tex]F = 1.8(C ) + 32[/tex]

[tex]F = 1.8C + 32[/tex]

Answer:

Hi liddywiddy, sorry you had to wait so long

There are 20 teachers in all

Step-by-step explanation:

the ratio 3:2 is now 12:x

12 / 3 = 4

so the multiplier is 4

now:

4x2 = 8

Next we add them: 12+ 8 = 20

Answer:

20 teachers in all

Step-by-step explanation:

12 / 3 = 4,

4 * 2 = 8,

so 12 + 8 = 20

Step-by-step explanation:

I would say the area its getting built. imagine wanting to build a house but you can't dig the sewer (if thats the spelling) pipes bc the area you want doesn't have any water or something like that. definitely money. without it, you can't do anything, you can't buy materials or even hire people to help you because you cannot tell me that you can build a house on your own. Another I would say is Labor cause like I said, if you ain't got nobody to help you, you're probably going to take a few years or more. so if you want to build a house in an area where there is a few architects and designers, you're just going to have to suck it up and get what you get.

Hi there!

If the nickels and dimes ratioe are both 2:6, then the quarter is also 2:6.

The total of of all together is also 6:6 and 6:6 is also 120 coins.

120 divide by 3 different kinds of coins are 40.

This means that there are 40 of 1 coin out of 3 different kinds of coins. What I really mean is that each coins all have 40 each...

Therefore, the ratios of nickels to dimes and to quarters are 40:40:40...

Answer:

A) Average weight = 112.97

standard deviation = 3.913

B) 119.4069

Step-by-step explanation:

A) Estimate the true average weight and standard deviation of the weight

attached below is a detailed solution

Average weight = 112.97

standard deviation = 3.913

B) Assuming a normal distribution Estimate the weight below

attached below is a detailed solution

= 119.4069

Answer:

Step-by-step explanation:

I didn’t see any choices but an inverse function switches the x and y values.

For every (x,y) of f(x) the inverse function will have (y,x) of f^-1(x)

Answer:

The point (4, –7) is on the graph of f(x), so the point (7, –4) will be on the graph of f–1(x).  (quick answer A)

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

Convection.

Step-by-step explanation:

Convection  is where warm air rises and cool air falls. This picture is an example of Convection.