Make a frequency table in descending order in inclusive form from the data given below,
Selecting a class-interval of 4 units each :
12 16 17 14 15 17 19 21 23 26
13 19 11 12 13 15 18 20 18 12
16 17 22 14 7 8 9 8 12 11

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:

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= 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:

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:

13,-1,2

Step-by-step explanation:

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

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

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:

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

Hope this helps!

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.

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:

True

Step-by-step explanation:

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

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]

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:

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:

Step-by-step explanation:

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

y - 5 = 7/6x - 14

y = 7/6x - 9

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: this is what i think

Step-by-step explanation:

Answer:

41^6000

ithink

Step-by-step explanation:

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

Step-by-step explanation:

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:

Step-by-step explanation:

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

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

[tex]a + 3b[/tex]

Answer:

4/x-1

Step-by-step explanation:

so divide by x

so 4/x

less 1

4/x-1

Answer:

It is even clearer if we put it in the chart

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: x = 0

because the shape is a square

=> 2x + 4 = 4

⇔ 2x = 0

⇔ x = 0

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:

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.