Need help 15 points

Answer:

x = 17.5

Step-by-step explanation:

[tex] \triangle ABC \sim \triangle DEF... (given)[/tex]

[tex] \therefore \frac{AB}{DE} = \frac{BC}{EF} [/tex]

[tex] \therefore \frac{10}{4} = \frac{x}{7} [/tex]

[tex] \therefore 2.5 = \frac{x}{7} [/tex]

[tex] \therefore 2.5\times 7= x[/tex]

[tex] \therefore 17.5= x[/tex]

[tex] \therefore x = 17.5[/tex]

Step-by-step explanation:

5 = x + 3. The product of 2 times a number is 10. 2x = 10. One half a number is 10 x/2 = 10. Five times the sum of x and 2 5(x + 2). Seven is greater than x.

Answer:

35

Step-by-step explanation:

This is how you can solve for the missing number that is doubled: ( x )

7 = 3 + 2x

7 ( -3 ) = 3 ( -3 ) + 2x

4 = 2x

4 ( /2 ) = 2x ( /2 )

2 = x

This is how you solve for the number the question is asking for: ( y )

y = 5 ( 3 + 2x )

y = 5 ( 3 + 2 ( *2 ))

y = 5 ( 3 + 4 )

y = 5 ( 7 )

y = 5 * 7

y = 35

Answer:

[tex]3( {x}^{2} + 2x + 1)[/tex]

Hope this helps!

Answer:

4/x-1

Step-by-step explanation:

so divide by x

so 4/x

less 1

4/x-1

Answer:

5t + 2

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

Step 1: Define Expression

4t - 18 - t + 2t + 20

Step 2: Simplify

Answer:

5 t + 2

That's the answer

Step-by-step explanation:

the vertical line test means if there are more than one point on a vertical line then it is not a fuction

i cant answer without seeing the graph but i hope this helps

when a number is raised to the power of a rational number it becomes a root of the denominator's order and the number inside the root is raised by the power of the numerator

for example

[tex]x^{\frac{a}{b} }=\sqrt[b]{x^a}[/tex]

in this case

[tex]32^{\frac{3}{5} }=\sqrt[5]{32^3}[/tex]

[tex]=\sqrt[5]{32768}[/tex]

=8

Answer:

$333.32 hope this helps have a nice day please give me brainliest :)

Step-by-step explanation:

Answer:

The size of the sample = 1088.90

Step-by-step explanation:

Given that:

The confidence interval level = 0.95

The margin of error = 0.03

Suppose the proportion of the boys and the girls are p₁ and p₂ respectively.

The Standard error S.E of difference is:

[tex]S.E (p_1-P_2) = \sqrt{ \dfrac{p_1(1-p_1) }{n} + \dfrac{p_2(1-p_2)}{n} }[/tex]

Assume p₁ = p₂ = 0.5

[tex]S.E (p_1-P_2) = \sqrt{ \dfrac{0.5(1-0.5) }{n} + \dfrac{0.5(1-0.5)}{n} }[/tex]

[tex]S.E (p_1-P_2) =\dfrac{0.70711}{\sqrt{n}}[/tex]

The z-critical value at 95% C.I = 1.96

Margin of error = Z_{critical} × S.E

∴

[tex]0.03 = 1.96 \times \dfrac{0.70711}{\sqrt{n}}[/tex]

[tex]n =\dfrac{\left(1.96\ \cdot\ 0.70711^{2}\right)}{0.03^{2}}[/tex]

n ≅ 1088.90

Answer:

It is even clearer if we put it in the chart

9514 1404 393

Answer:

  1.1 quarts

Step-by-step explanation:

Let x represent the amount to be added, in quarts. Then the amount of anti-freeze in the resulting solution is ...

  0.20(8) + 1.00(x) = 0.30(8 +x)

  0.70x = 0.10(8) . . . . . . subtract 0.20(8)+0.30(x)

  x = 8/7 . . . . . . . . . . . . . divide by the coefficient of x

  x ≈ 1.142857 ≈ 1.1

About 1.1 quarts of pure antifreeze must be added.

Answer:

It would be $ 564,300 so C

Step-by-step explanation:

just took the test

She made 564300 dollars in total when she sells the apartment.

An equation consists of terms and variables on both sides of the equality sign and they are equal.

Given Rosalyn is planning to sell her apartment complex.

She bought this apartment 10 years for 420000 dollars and every year the apartment gains 2.2% in value.

∴ After 10 years the value of the apartment is,

A = P( 1 + r/100)ⁿ.      where n is time in years.

A = 420000( 1 + 2.2/100)¹⁰.

A = 420000( 1.022)¹⁰.

A = 420000×1.243 dollars.

A = 522105.48 dollars.

She charges a monthly rent of 720 dollars for each room and has 8 rooms in it.

∴ Monthly earnings from the apartment are (720×8) = 5760 dollars.

And we know 10 years is 120 months.

∴ In 10 years her earnings from rent are

= 5760×120 dollars.

= 691200 dollars.

The upkeep cost is 22900 dollars per year therefore it is 229000 dollars for 10 years.

∴ The profit she will have selling her apartment is (522105.48 - 420000 + 691200 - 229000) dollars.

= 564305.48 dollars.

= 564300 dollars.

learn more about equations here :

https://brainly.com/question/10413253

#SPJ6

Answer:

L = 9.91 decibels.

Step-by-step explanation:

The loudness, L is inversely proportional to the square of the distance, d, from the source of the sound.

i.e L [tex]\alpha[/tex] [tex]\frac{1}{d^{2} }[/tex]

L = [tex]\frac{k}{d^{2} }[/tex]

Where k is the constant of proportionality.

When d = 14 feet and L = 85 dB, then;

k = L x [tex]d^{2}[/tex]

  = 85 x [tex](14)^{2}[/tex]

 = 16660

k = 16660

L = [tex]\frac{16660}{d^{2} }[/tex]

Thus, when d = 41 feet, then;

L = [tex]\frac{16660}{(41)^{2} }[/tex]

  = [tex]\frac{16660}{1681}[/tex]

  = 9.91077

L = 9.91 dB

The loudness is 9.91 decibels.

Answer:

Well according to the number line shown, it is in the negative area and if you see this it is near -6.5, all you need to do is count the spots until it hits the circle which is -6.8

Step-by-step explanation:

Answer:

Step-by-step explanation:

- 6.8.... just count the tenths marks..  6.1,6.2,6.3... ect, ect

Answer:

Step-by-step explanation:

Surface area of cuboid A with side a is:

Same for cuboid B with side b:

Ratio of surface areas:

Volumes of A and B are:

And their ratio is:

Correct option is B

Answer:

B. 125 : 216

Step-by-step explanation:

Answer:

II and III

Step-by-step explanation:

Answer:

The linear equation in the slope-intercept form will be:

[tex]y\:=\:\frac{2}{3}x+64[/tex]

Step-by-step explanation:

From the line graph, taking two points

Finding the slope between (21, 78) and (27, 82)

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(21,\:78\right),\:\left(x_2,\:y_2\right)=\left(27,\:82\right)[/tex]

[tex]m=\frac{82-78}{27-21}[/tex]

[tex]m=\frac{2}{3}[/tex]

We know that the slope-intercept of the line equation is

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

where m is the slope and b is the y-intercept

substituting (21, 78) and m = 2/3 in the slope-intercept of the line

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

[tex]78=\frac{2}{3}\left(21\right)+b[/tex]

switch sides

[tex]\frac{2}{3}\left(21\right)+b=78[/tex]

[tex]14+b=78[/tex]

[tex]b=64[/tex]

substituting b = 64 and m = 2/3 in the slope-intercept of the line

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

[tex]y\:=\:\frac{2}{3}x+64[/tex]

Therefore, the linear equation in the slope-intercept form will be:

[tex]y\:=\:\frac{2}{3}x+64[/tex]

Answer:

the value of X is 10x

Step-by-step explanation:

Answer:

(6,0)

Step-by-step explanation:

To find the x-intercept, plug in 0 for y (because the x intercept is on the x axis) and find x.

0 = x/2 - 3

3 = x/2

x = 6

Answer:

Step-by-step explanation:

slope intercept form  =>   Y = mx + b  

find m... the slope by using any two points on the line

p1 = (0,5)  by inspection

p2=(4,6)  by inspection

find m  = y2-y1 / x2-x1

      m   = 6 - 5 / 4 - 0  

      m    =1 / 4

then use the slope intercept formula

y = 1/4x + 5      for your answer.  we know b = 5 b/c thats where the line crosses the y axis.

y = [tex]\frac{1}{4}[/tex]x + 5    is the answer

Answer: this is what i think

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

-3/4y - 1/5y = 380 can be simplified to -19/20y = 380.

In order for the student to incorrectly get 361, they likely just multiplied the 380 by 19/20 rather than multiplying by the reciprocal (which would be -20/19).

This means the best answer should be B.

Answer:

True

Step-by-step explanation:

In order to grow, a plant needs all the radient energy that it can get.

Decrease of price = $24,000 - $14,880

=> $9,120

Percentage decrease = 9120/24000×100

=> 38%

Answer:

41^6000

ithink

Step-by-step explanation:

Answer:I got 41 , if it’s wrong I’m so sorry

Step-by-step explanation:

Answer:

9. By every 10 seconds, the meters traveled increase by a constant of 8.5 meters.

10. (1,2), (2,4), (5,10), (8,16)

Step-by-step explanation:

For question 9, here is an example. You can find the constant of proportionality by dividing 85 by 10, which is 8.5. So every 10 seconds, the distance traveled in meters by the object will have multiplied by 8.5. You can also do 170 divided by 20, which is also 8.5 thus verifying our answer. Hope this helps you, sorry I couldn’t explain it better.

Answer:

13,-1,2

Step-by-step explanation:

i hope it is helpful......for you

Answer:

3) Midpoint is (-4,0.5)

Option A is correct.

4) Midpoint is (2.5,0)

Option B is correct.

5) The factors are (x+4)(x-7)

Option C is correct.

6) The factors are (x+4)(x+2)

Option A is correct.

Step-by-step explanation:

Question 3

Find midpoint of the following:

(2,-7), (-10,8)

The formula used to find midpoint is: [tex]Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )[/tex]

We have [tex]x_1=2, y_1=-7, x_2=-10,y_2=8[/tex]

Putting values and finding midpoint

[tex]Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )\\Midpoint=(\frac{2-10}{2},\frac{-7+8}{2} )\\Midpoint=(\frac{-8}{2},\frac{1}{2} )\\Midpoint=(-4,0.5 )[/tex]

So, Midpoint is (-4,0.5)

Option A is correct.

Question 4

Find midpoint of the following:

(2,-10), (3,10)

The formula used to find midpoint is: [tex]Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )[/tex]

We have [tex]x_1=2, y_1=-10, x_2=3,y_2=10[/tex]

Putting values and finding midpoint

[tex]Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )\\Midpoint=(\frac{2+3}{2},\frac{-10+10}{2} )\\Midpoint=(\frac{5}{2},\frac{0}{2} )\\Midpoint=(2.5,0 )[/tex]

So, Midpoint is (2.5,0)

Option B is correct.

Question 5

Factor each completely

[tex]x^2-3x-28[/tex]

We will break the middle term and find factors

[tex]x^2-3x-28\\=x^2-7x+4x-28\\Taking\:common\\=x(x-7)+4(x-7)\\=(x+4)(x-7)[/tex]

So, the factors are (x+4)(x-7)

Option C is correct.

Question 6

Factor each completely

[tex]x^2+6x+8[/tex]

We will break the middle term and find factors

[tex]x^2+6x+8\\=x^2+4x+2x+8\\=x(x+4)+2(x+4)\\=(x+4)(x+2)[/tex]

So, the factors are (x+4)(x+2)

Option A is correct.