Translate the phrase into a variable expression. Use the letter e to name the variable. If necessary, use the asterisk ( * ) for multiplication and the slash ( / ) for division.

... The number of seats in boxer stadium minus 15 ...

50miles

Step-by-step explanation:

Answer:

500 miles

Step-by-step explanation:

80% is converted to its decimal form 0.8

Multiply 0.8 times "x" which is the unknown total distance of the trip (80% of the total trip) to get 400 because 80% of the trip is 400 miles. Then find x

0.8x = 400

400/0.8 = x

500 = x

Answer:

y = 6

x = 5

Step-by-step explanation:

-6x + 6y = 6

-6x + 3y = - 12

Multiply the second equation by -1, then add the equations;

-6x + 6y = 6

6x - 3y = 12

___________

3y = 18

/3     /3

y = 6

x = 5

Answer:

Yes, there is enough information to prove that the triangles are congruent.

SAS POSTULATE

Step-by-step explanation:

[tex] In\:\triangle ABC \: and \triangle XYZ\\[/tex]

[tex] AB\cong XY..... (given) \\[/tex]

[tex] \angle ABC \cong\angle XYZ\\(each \: 90\degree) \\[/tex]

[tex] BC\cong YZ..... (given) \\[/tex]

[tex] \therefore \triangle ABC \cong \triangle XYZ\\(SAS\: postulate) [/tex]

Answer:

Step-by-step explanation:

Given

This is side-angle-side or SAS congruency postulate

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: this is what i think

Step-by-step explanation:

Answer:

-9.1r + 3.9

Step-by-step explanation:

-6.2r - 4.6 -2.9r + 8.5

-6.2r and -2.9r are alike, so we combine.

-6.2r + -2.9r = -9.1r

-4.6 and 8.5 are alike, so we combine.

-4.6 + 8.5 = 3.9

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:

16

Step-by-step explanation:

(x-8)^2 + (y-4)^2= 16

Answer:

19.209 miles from each other.

Step-by-step explanation:

[tex]{a}^{2} + {b}^{2} = {c}^{2} [/tex]

Using this we get:

[tex] {15}^{2} + {12}^{2} = {x}^{2} [/tex]

[tex]225 + 144 = 369 = {x}^{2} [/tex]

[tex] \sqrt{369 } = 19.209[/tex]

Answer:

h(t)=3/2t+59

h(t)=2/3(15)+64                        h(t)=2/3(30)+64

74=  10+64                              84=20+64

74=74                                      84=84

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: x = 0

because the shape is a square

=> 2x + 4 = 4

⇔ 2x = 0

⇔ x = 0

Step-by-step explanation:

9514 1404 393

Answer:

  SAS

Step-by-step explanation:

Count the number of sides marked congruent. One is marked with a single hash mark, and one is marked with a double hash mark, for a total of two.

That means the chosen congruence theorem will have S appear twice in its name, excluding AAS, ASA, and SSS.

We also note that the angles between the marked sides are vertical angles, hence congruent. The theorem that depends on two sides (SS) and the angle between them (_A_) is the SAS theorem.

Answer:

70.5 it is the answer. I hope I am helpful please mark brainlist

Answer:

(2)

Step-by-step explanation:

The equation of a horizontal line parallel to the x- axis is

y = c

where c is the value of the y- coordinates the line passes through.

The line passes through (1, - 2) with y- coordinate - 2, thus

y = - 2 ← is the equation of the line

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.

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]

Answer:

(3x - y + 2)(3x + y - 2).

Step-by-step explanation:

9x^2 - y^2 + 4y - 4​

= 9x^2 - (y^2 - 4y + 4)

= 9x^2 - (y - 2)^2

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

= (3x - y + 2)(3x + y - 2).

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

Answer:

8 X 10^(9)

Step-by-step explanation:

Originally we have 10 digit phone numbers excluding the area code.

For each face value we have these in store: 0,1,2,3,4,5,6,7,8,9 (total 10)

But if we exclude 1 and 0 for the first digit, we are left with 8 digits.

8P1 X .......

In a phone number, digits can repeat so we can choose out of these 10 numbers freely after this.

8P1 X 10P1 X 10P1 X...

Adding the area code while assuming 10P1 is just 10...we get:

1 X 1 X 1 X 8 X 10^(9)

= 8000000000

Very interesting question, thanks for the opportunity!

The number of  different phone numbers in the area code 503, if the first number cannot start with a 0 or 1 should be considered as the [tex]8 \times 10^{(9)}[/tex]

Since

we have 10 digit phone numbers that does not include the area code.

So,

For each face value we have these in store:

0,1,2,3,4,5,6,7,8,9 (total 10)

Now

if we exclude 1 and 0 for the first digit, So it left with 8 digits.

So, it be like

8P1 X .......

Likewise

8P1 X 10P1 X 10P1 X...

Now if add this,

1 X 1 X 1 X 8 X 10^(9)

= 8000000000

hence, The number of  different phone numbers are possible in the area code 503, if the first number cannot start with a 0 or 1 should be considered as the [tex]8 \times 10^{(9)}[/tex]

Learn more about number here: https://brainly.com/question/11318214

Answer:

x= 4i or -4i

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Hope this helped :)

Answer:

There are no Solutions to this answer.

Step-by-step explanation:

A set of equations with no solutions is called inconsistent if there is no simultaneous solution for the set.

Brainliest are always appreciated :)

Answer:

4/x-1

Step-by-step explanation:

so divide by x

so 4/x

less 1

4/x-1

Step-by-step explanation:

Given

f(x) = 2x + 6

g(x) = 3x²

f(g(-3)) = ?

Now

g(-3) = 3 * (-3)²

= 3* 9

=27

Also,

f(g(-3)) = f(27)

= 2* 27 + 6

= 60

Hope it helps :)

Answer:

Step-by-step explanation:

y - 5 = 7/6(x - 12)

y - 5 = 7/6x - 14

y = 7/6x - 9

Answer:

Step-by-step explanation:

[tex] \frac{5a + 15b}{5 } [/tex]

[tex] \frac{5a}{5} + \frac{15b}{5} [/tex]

[tex]a + 3b[/tex]

Answer:

You should always believe in yourself no matter what. Make that be a lesson for everyone in your community!

Step-by-step explanation:

Answer:

personally, no. but if you are looking for an answer to be graded, say something positive. ¨i believe in myself right now because i have been (insert something positive). ¨

Step-by-step explanation:

i hope this has helped