Find the volume of the figure

Answer:

1) x = 30

2) x = 11.6

Step-by-step explanation:

1) 2x = 4x - 60   (vertical angles are equal)

subtract 4x from each side of the equation:

-2x = - 60

divide both sides by -2:

x = 30

2) 7x + 16 + 3x + 48 = 180°   (supplementary angles add up to 180°)

combine like terms:

10x + 64 = 180

subtract 64 from both sides of the equation:

10x = 116

divide both sides by 10:

x = 11.6

Answer:

Step-by-step explanation:

Answer:

price for one shirt

=

$

7.50

price for one pair of pants

=

$

18.50

Explanation:

Start by letting variables

x

and

y

represent the pieces of clothing from the problem.

Let

x

be the price of one shirt.

Let

y

be the price of one pair of pants.

Equation

1

:

4

x

+

3

y

=

85.50

Equation

2

:

3

x

+

5

y

=

115.00

You can solve for each variable by using elimination or substitution. However, in this case, we will use use elimination. First, we will solve for

y

, the price of each pair of pants.

To isolate for

y

, we must eliminate

x

. We can do this by making the two equations have the same

x

values. First, we find the LCM of

4

and

3

, which is

12

. Next, multiply equation

1

by

3

and equation

2

by

4

so that

4

x

and

3

x

becomes

12

x

in both equations.

Equation

1

:

4

x

+

3

y

=

85.50

3

(

4

x

+

3

y

)

=

3

(

85.50

)

12

x

+

9

y

=

256.50

Equation

2

:

3

x

+

5

y

=

115.00

4

(

3

x

+

5

y

)

=

4

(

115.00

)

12

x

+

20

y

=

460.00

Now that we have two equations with

12

x

, we can subtract equation

2

from equation

1

to solve for

y

.

12

x

+

9

y

=

256.50

12

x

+

20

y

=

460.00

−

11

y

=

−

203.50

y

=

18.50

⇒

price for one pair of pants

Now that we know that a pair of pants is

$

18.50

, we can substitute this value into either equation

1

or

2

to find price for one shirt. In this case, we will choose equation

1

.

4

x

+

3

y

=

85.50

4

x

+

3

(

18.50

)

=

85.50

4

x

+

55.5

=

85.50

4

x

=

28

x

=

7.50

⇒

price for one shirt

∴

, the price for one shirt is

$

7.50

and the price for one pair of pants is

$

18.50

.

Step-by-step explanation:

yea

Answer:

y = -28

Step-by-step explanation:

y=-4x

Let x=7

y = -4*7

y = -28

Answer:

22

Step-by-step explanation:

Simplify the expression

Step-by-step explanation:

(−4, −4)

2. (−4, 6)

3. (6, 6)

4. (6, −4)

Answer:

310in

Step-by-step explanation:

7×10=70

70×2=140(there are two that are the same length)

5×10=50

50×2=100(there are two that are the same length)

5×7=35

35×2=70(there are two that are the same length)

70+100=170

170+140=310

please let me know if it's correct

Answer:

0.86

Step-by-step explanation:

The probability that the next person will purchase no costume is 36%.

To express the probability that the next person will purchase no costume as a percent to the nearest whole number, we will use the total number of visitors to the website as the denominator and the number of visitors who purchased no costume as the numerator.

The total number of visitors to the website,

168 + 252 + 47 = 467

The number of visitors who purchased no costume = 168.

So, the probability that the next person will purchase no costume is:

168/467 = 0.360

0.3609 × 100

= 36.09

Rounding this to the nearest whole number, we get,

36%

Learn more about probability here:

brainly.com/question/14099682

#SPJ2

Answer:

y=(-7/2)x+3

Step-by-step explanation:

7x+2y-3=0

7x+2y=3

2y=-7x+3

y=(-7/2)x+3

Answer:

y = - [tex]\frac{7}{2}[/tex] x + [tex]\frac{3}{2}[/tex]

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c

Given

7x + 2y - 3 = 0 ( subtract 7x - 3 from both sides )

2y = - 7x + 3 ( divide each term by 2 )

y = - [tex]\frac{7}{2}[/tex] x + [tex]\frac{3}{2}[/tex] ← in slope- intercept form

Answer:

I believe the answer would be 32.64

Step-by-step explanation:

$24 x 36% = 8.64

8.64 + 24 = $32.64

Answer:

(a)

[tex]S = \{GGG, GGB, GBG, GBB, BBG, BGB, BGG, BBB\}[/tex]

(b)

i.

[tex]1\ girl = \{GBB, BBG, BGB\}[/tex]

[tex]P(1\ girl) = 0.375[/tex]

ii.

[tex]Atleast\ 2 \ girls = \{GGG, GGB, GBG, BGG\}[/tex]

[tex]P(Atleast\ 2 \ girls) = 0.5[/tex]

iii.

[tex]No\ girl = \{BBB\}[/tex]

[tex]P(No\ girl) = 0.125[/tex]

Step-by-step explanation:

Given

[tex]Children = 3[/tex]

[tex]B = Boys[/tex]

[tex]G = Girls[/tex]

Solving (a): List all possible elements using set-roster notation.

The possible elements are:

[tex]S = \{GGG, GGB, GBG, GBB, BBG, BGB, BGG, BBB\}[/tex]

And the number of elements are:

[tex]n(S) = 8[/tex]

Solving (bi) Exactly 1 girl

From the list of possible elements, we have:

[tex]1\ girl = \{GBB, BBG, BGB\}[/tex]

And the number of the list is;

[tex]n(1\ girl) = 3[/tex]

The probability is calculated as;

[tex]P(1\ girl) = \frac{n(1\ girl)}{n(S)}[/tex]

[tex]P(1\ girl) = \frac{3}{8}[/tex]

[tex]P(1\ girl) = 0.375[/tex]

Solving (bi) At least 2 are girls

From the list of possible elements, we have:

[tex]Atleast\ 2 \ girls = \{GGG, GGB, GBG, BGG\}[/tex]

And the number of the list is;

[tex]n(Atleast\ 2 \ girls) = 4[/tex]

The probability is calculated as;

[tex]P(Atleast\ 2 \ girls) = \frac{n(Atleast\ 2 \ girls)}{n(S)}[/tex]

[tex]P(Atleast\ 2 \ girls) = \frac{4}{8}[/tex]

[tex]P(Atleast\ 2 \ girls) = 0.5[/tex]

Solving (biii) No girl

From the list of possible elements, we have:

[tex]No\ girl = \{BBB\}[/tex]

And the number of the list is;

[tex]n(No\ girl) = 1[/tex]

The probability is calculated as;

[tex]P(No\ girl) = \frac{n(No\ girl)}{n(S)}[/tex]

[tex]P(No\ girl) = \frac{1}{8}[/tex]

[tex]P(No\ girl) = 0.125[/tex]

Answer:

okay...... where is the question

Answer:

1 1/30 gallon

Step-by-step explanation:

Can A = 1/3 gallon

Can B = 1/5 gallon

Can C = 1/2 gallon

Total paint Neil has = Can A + Can B + Can C

= 1/3 + 1/5 + 1/2

The lowest common multiple of 3, 5 and 2 is 30

= (10+6+15) / 30

= 31/30

= 1 1/30 gallon of paint

Neil has a total of 1 1/30 gallon of paint

Answer:

3x + 15 = 9

3x = 9 - 15

3x = -6

x = -6/3

x = -2.

Answer:

39.5

Step-by-step explanation:

Answer:

5y - 10

Step-by-step explanation:

We require to find

5(y - 2) ← multiply each term in the parenthesis by 5

= 5y - 10

Answer:

Radius of the sphere = r

Volume of sphere:

Radius of the hemisphere = 2r

Volume of the hemisphere:

The volume of the hemisphere is 4 times greater than the volume of the sphere

The two lines 3 y - 2 x = 27 and 4 y - 2 x = 36 are parallel to each other because their slopes (i.e., -2/3 and -2/4) are equal.

Parallel lines are lines in a plane that do not intersect and are always the same distance apart. They have the same slope and will never meet, regardless of how far they are extended.

Therefore, the correct answer is as given above. It can be concluded that lines 3 y - 2 x = 27 and 4 y - 2 x = 36 are parallel lines to each other for their slopes (i.e., -2/3 and -2/4) are the same.

learn more about parallel lines: https://brainly.com/question/24607467

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The complete question goes thus:

Which statement is true about the lines 3−2=27 3 y - 2 x = 27 and 4−2=36 4 y - 2 x = 36 ?

A. lines 3 y - 2 x = 27 and 4 y - 2 x = 36 are parallel to each other

B. lines 3 y - 2 x = 27 and 4−2=36 are inequalities

C. lines 3−2=27 and 3 y - 2 x = 27 are the same

D. all lines are equal

Answer:

100

Step-by-step explanation:

Answer:

100 plz thank me later have a grate day love you all

Answer:

[tex]30ft[/tex]

Step-by-step explanation:

So, since the scale is 1:5, 1 ft is actually 5 feet.

[tex]6ft=6[/tex]×[tex]5. 6x5=30[/tex]

Answer:

an equivalent expression: -14(-8x+12y)=112x-168y

factor of an equivalent expression: 36a−16=4(9a-4)

Answer: x=2/9

Step-by-step explanation: Hope this help :D

Answer:

One solution x: 2/9

Step-by-step explanation:

Answer:

8.00

Step-by-step explanation:

to find the median, you have to order all your numbers from least to greatest (6.00, 7.00, 8.00, 8.00, 9.00) then find the number in the MIDDLE. that number would be 8.00 so therefore the median is 8.00.

Answer:

x=33

Step-by-step explanation:

1) write the equation: 180=90+(x+15)+(x+9)

2) subtract 90 on both sides and add x+15 and x+9 together: 90=2x+24

3) subtract 24 from both sides: 66=2x

4) divide both sides by 2: x=33

Answer:

see explanation

Step-by-step explanation:

Substitute n = 7 into f(n)

f(7) = 5 + 8(7 - 1) = 5 + 8(6) = 5 + 48 = 53

f(n) = 5 + 8(n - 1) represents the nth term of an arithmetic sequence

f(n) = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

By comparison, then

a₁ = 5 and common difference d = 8

Answer:

This is 3

Step-by-step explanation:

Answer:

A function is a relation that maps elements from one set (the domain, the set of the inputs) into elements from another set (the range, the set of the outputs). Such that each element of the domain can be mapped into only one element of the range.

Now let's analyze the given relations.

1)

Here we can see that the inputs are -3, -1, 1, and 2.

Then the domain (the set of the inputs) is:

D = {-3, -1, 1, 2}

And we can see that the outputs are 0, 2, and 5.

Then the range is:

R = {0, 2, 5}

We also can see that each input is being mapped into only one output, then this relation is a function.

2) In this case the inputs are -2, -3, and 5.

Then the domain is:

D = {-2, -3, 5}

And the outputs are 6, 7, 8

Then the range is:

R = {6, 7, 8}

And we can see that each input is mapped into only one output, then this relation is a function.

3) In this case we can see that the inputs are -4, -2, and 0

Then the domain is:

D = {-4, -2, 0}

And we can see that the outputs are -2, -1, 3, and 4.

Then the range is:

R = {-2, -1, 3, 4}

In this case, we can see that the input -4 is being mapped into two different outputs (3 and -1)

Then this relation is not a function.