Joanna draws a scale model of a rectangular table for a carpenter to build. On her drawing, \frac{3}{4} 4
3
​
of an inch represents 11 foot. In the drawing, the table is 7\frac{1}{2}7 2
1
​
long. How long, in feet, will the table be when the carpenter builds it?

Answer:

8cx - 22ac - 15bx + 45ab +18ax - 6bc.

Step-by-step explanation:

(8c-9b)(x-5a)+(3x+3c)(6a-2b)

= 8c (x-5a) -9b(x-5a) + 3x(6a-2b) + 3c(6a-2b)

= 8cx - 40ac -9bx + 45ab + 18ax - 6bx + 18ac - 6bc

Combining like terms:

=  8cx - 22ac - 15bx + 45ab +18ax - 6bc.

Answer:

8cx + 45ab + 18ax - 2bc - 15bx - 22ac

Step-by-step explanation:

Answer:

-     8/4x^6-5x^5+2

Step-by-step explanation:

Answer:

22/12

Step-by-step explanation:

Answer:

$31

Step-by-step explanation:

295 minus 16 is 279

that's how much they were all together

and divide 279 by 9 and you get 31

Answer:

D. (5, 4)

Step-by-step explanation:

4x + y = 16       ----->     y = 16 - 4x

2x + 3y = -2

Substitute to find x

2x + 3(16 - 4x) = -2

2x + 48 - 12x = -2

-10x = -50

x = 5

Substitute to find y

4(5) + y = 16

20 + y = 16

y = 4

Final solution: (5, 4)

Hope this helps!

Answer:

I'm sorry I don't know

Step-by-step explanation:

hopefully someone solves this!

The 9th term of the geometric sequence will be 41,990,400.

A series of non-zero integers where every term after the first is obtained by increasing the one before it by a constant, non-zero value known as the scale factor.

Let a₁ be the first term and r be the common ratio. Then the nth term of the geometric sequence is given as,

aₙ = a₁ · (r)ⁿ⁻¹

The sequence is given below.

25, 150, 900, .....

The first term is 25 and the common ratio is calculated as,

r = 150 / 25

r = 6

Then the 9th term of the sequence is given as,

a₉ = 25 · (6)⁹⁻¹

a₉ = 25 · (6)⁸

a₉ = 25 · 1,679,616

a₉ = 41,990,400

The 9th term of the geometric sequence will be 41,990,400.

More about the geometric sequence link is given below.

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Answer:

A. 9.0 seconds

Step-by-step explanation:

Using compound interest and continuous compounding, it is found that it would take 2.61 years longer for Carter's money to triple.

The amount of money earned, in compound interest, after t years, is given by:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

In which:

For Carter, we have that the rate of interest and the number of compoundings are, respectively, r = 0.04875 and n = 12. The time to triple is t for which A(t) = 3P, hence:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

[tex]3P = P\left(1 + \frac{0.04875}{12}\right)^{12t}[/tex]

[tex](1.0040625)^{12t} = 3[/tex]

[tex]\log{(1.0040625)^{12t}} = \log{3}[/tex]

[tex]12t\log{(1.0040625)} = \log{3}[/tex]

[tex]t = \frac{\log{3}}{12\log{(1.0040625)}}[/tex]

t = 22.58.

The amount of money is given by:

[tex]A(t) = Pe^{kt}[/tex]

For Jack, we have that the rate of interest is of k = 0.055, hence:

[tex]A(t) = Pe^{kt}[/tex]

[tex]3P = Pe^{0.055t}[/tex]

[tex]e^{0.055t} = 3[/tex]

[tex]\ln{e^{0.055t}} = \ln{3}[/tex]

[tex]0.055t = \ln{3}[/tex]

[tex]t = \frac{\ln{3}}{0.055}[/tex]

t = 19.97.

The difference is given by:

22.58 - 19.97 = 2.61

It would take 2.61 years longer for Carter's money to triple.

More can be learned about compound interest at https://brainly.com/question/25781328

Answer:

The answer is option D - 1120°

1120° is the sum of the sixed marked angle in the picture. Therefore, the correct option is option D.

An angle is a figure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are in the plane where the rays are located. The meeting of two planes also creates angles. We refer to these as dihedral angles.

The angle formed by the rays lying perpendicular to the two crossing curves at the point of junction is another property of intersecting curves. Angle can also refer to the size of such an angle or a rotational angle. The width of a circular path divided by its radius is the traditional definition of this metric, which may also be signed. 1120° is the sum of the sixed marked angle in the picture.

Therefore, the correct option is option D.

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Answer:

40, or if you need it unrounded 40.3

Step-by-step explanation:

Answer:

x = 7

Step-by-step explanation:

Just write what you see in terms of a formula.

2x - 9 = 5

Solve for x

add both sides by 9

2x = 5 + 9

2x = 14

divide both sides by 2

x = 14/2

x = 7

Answer:

x = 7

Step-by-step explanation:

9 subtracted from 2x gives the result 5. Find the value of x.

Translate:

2x - 9 = 5

Simplify:

2x - 9 = 5 <== add 9 to both sides

    + 9  + 9

2x = 14 <== divide both sides by 2 to isolate the variable

/2    /2

x = 7

Hope this helps!

Answer:

10

Step-by-step explanation:

The median is arranged in numerical value.

it goes: 4, 5, 9, 11, 12, 13. The median is basically the number in-between. you would cross out 4 and then 13. next, 5 and 12. Now there's 9 and 11 in the middle and that is what's left. the number in between of 11 and 9 is 10. 10 would be the median of the data set.

The sample regression y = 10 + 2x is a linear regression equation

The estimated value of y if x = 5 is 20

The sample regression equation is given as:

y = 10 + 2x

When x = 5, the equation becomes

y = 10 + 2 * 5

Evaluate the product

y = 10 + 10

Evaluate the sum

y = 20

Hence, the estimated value of y if x = 5 is 20

Read more about regression equations at:

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Answer:

y = -2/5x^2 - 14/5x  - 4

Step-by-step explanation:

y = a(x + 2)(x + 5)

At y intercept:

-4 = a(2)(5)

10a = -4

a = -2/5.

So the equation is

y = -2/5(x + 2)(x + 5)

y = -2/5(x^2 + 7x + 10)

y = -2/5x^2 - 14/5x  - 4

Answer:

19

Step-by-step explanation:

you get the answers by counting all the x. every sttudent markes 1 x so the answer is 19

Answer: x = 7

Step-by-step explanation:

Question: If 9x = 63, then x = ?

9x = 63

x = 63/9

x = 7 answer

The value of x is 7.

hope that helps...

The area of the triangle RTS will be (8×4) - 1/2 (16+12+10). Then the correct option is A.

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

We start by drawing a rectangle around the triangle as shown in the diagram below.

Area of the RST = area of the rectangle - (area of triangle A + area of triangle B + area of triangle C)

[tex]\rm Area\ of\ RST = (8 \times 4) - [(\dfrac{1}{2} \times 8 \times 2) + (\dfrac{1}{2} \times 4 \times 3) + (\dfrac{1}{2} \times 5\times 2)]\\\\\\Area\ of\ RST = (8 \times 4) - \dfrac{1}{2} (16 + 12 + 10)[/tex]

The area of the triangle RTS is (8×4) - 1/2 (16+12+10).

More about the geometry link is given below.

https://brainly.com/question/7558603

Answer:Option A

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

If you are trying to figure out the more likeliness of getting tails than a 6, then you have to get a common denominator and then subtract numerators.

[tex]\frac{1}{2} =\frac{6}{12} \\\\\frac{1}{6} =\frac{2}{12} \\\\\frac{6}{12} -\frac{2}{12} =\frac{4}{12} \\\\\frac{4}{12} =\frac{2}{6} =\frac{1}{3}[/tex]

Theres a 1/3 more chance of tails than rolling 6

The probability of rolling a 6 or rolling a die is 2/3.

Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.

The value of probability will be always in the range from 0 to 1.

Given that,

An experiment consists of rolling a die and then flipping a coin.

Probability = Number of desired outcomes / Total outcomes

Probability of rolling a 6 = 1/6

Probability of landing on tails = 1/2

P(A or B) = P(A) + P(B)

Here, let A represents the event of rolling 1 6 and B represents the event of landing on tails.

P(A or B) = 1/6 + 1/2 = 4/6 = 2/3

Hence the required probability is 2/3.

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Answer:

Rational:2.1,2.2

Irrational:[tex]\sqrt{5},\sqrt{6}[/tex]

Step-by-step explanation:

Trial and error

Answer:

[tex]\boxed{A) \;m=\dfrac{1}{6} }[/tex]

Step-by-step explanation:

[tex]m=\dfrac{rise}{run}[/tex]

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\dfrac{6-8}{-7-5}[/tex]

[tex]m=\dfrac{-2}{-12}[/tex]

[tex]m=\dfrac{1}{6}[/tex]

Hope it helps! :)

Answer:

"mix 1 cup of vinegar with 1 gallon of water"

1 cup = 8oz; 1/4 cup = 2oz

You can see that the amount of vinegar is 1/4 of the original amount,

so, we will need 1/4 of the amount of water, which is 1gallon = 128oz

so, 1/4 times 128oz = 32oz, which is one quart

Algebraically, 8oz : 128oz = 2oz : x

8x = 256; x = 32oz

Answer:

(x + 8)(x + 4)

Step-by-step explanation:

x² + 12x + 32                    Rewrite

x² + 4x + 8x + 32             Factor

x(x + 4) 8(x + 4)                

(x + 8)(x + 4)                    Final answer

Hope this helps!

Step-by-step explanation:

if x=1 --> 1 + 12 + 32 = 45

if x=2 --> 4+ 24 + 32 = 60

if x=3 --> 9+36+32 = 77

if x=4 --> 16 + 48 + 32 = 96

...

so, with the same logic we'll find the equation:

(x + 8)(x + 4)  

(because it's related to each of the equations on the top )                

I'm not sure if this is what you're looking for, if not tell me in the comments and I'll change my answer. Otherwise, I hope this answers your problem :)

[tex]7x-4=\angle PQS\\\\\implies 7x-4 =38\\\\\implies 7x = 38+4\\\\\implies 7x = 42\\\\\implies x = \dfrac{42}7 \\\\\implies x = 6[/tex]

Answer:

7.2

Step-by-step explanation:

5x+2=38

5x=38-2

x=36/5

x=7.2