The solution of the equation 10 - (x +2) = 7x is -
5
-2
0
1

Answer:

15.71

Step-by-step explanation:

To find the radius, half the diameter because r x 2 = diameter. 5/2 = 2.5

Put in circumference formula C=2πr

c=2 x 3.14 x 2.5

c= 2 x 7.85

c=15.7

Put the value into the circle circumference formula C=2πr

Answer:

1.785 cm / min

Step-by-step explanation:

We have to the following equation:

V = A * L

The volume is equal to the area times the length, now, if we derive with respect to time we have:

dV / dt = dA / dt * L

Now, the area of a trapezoid is:

A = (Upper base + Lower base) / 2 * height

Now we have:

Upper base = 40 + h

Lower base = 40

Replacing we have:

A = (40 + h + 40) / 2 * h

A = (h ^ 2) / 2 + 40 * h

Now, we derive and we are left:

dA / dt = d [(h ^ 2) / 2 + 40 * h] / dh * dh / dt

dA / dt = (h + 40) * dh / dt

we replace dA / dt:

dV / dt = [(h + 40) * dh / dt] * L

We have that dV / dt is equal to 0.1 m ^ 3 / min, we know that 1m ^ 3 is equal to 10 ^ 6 cm ^ 3, therefore:

dV / dt = 10 ^ 5 cm ^ 3 / min

in addition L is equal to 8 m or what is equal to 800 cm, and also h at the required moment is 30 cm

we replace everything and we have:

10 ^ 5 = 800 * (30 +40) * dh / dt

dh / dt = 10 ^ 5/56000

dh / dt = 1.785 cm / min

Answer:

Radius x radius x 3.14 / 2 = area of semicircle

5 x 5 x 3.14 = 78.5

don't divide because there is two semicircle

22-10=12

12 x 10 = 120

120 + 78.5 = 198.5 cm squared

Step-by-step explanation:

Answer:

D) 8 movies and 1 video game

Step-by-step explanation:

We are given that Lane has a gift card worth $300 for a local entertainment store.

Cost of 1 movie = $20

Cost of 1 video game = $50

In order to use the gift card, Lane must purchase at  least seven items

A) 01 movie and 6 video games

Cost of 1 movie = $20

Cost of 6 video game = [tex]50 \times 6 = 300[/tex]

Total cost = 300+20 = 320

Since Lane has a gift card worth $300 , So Lane could not purchase 01 movie and 6 video games using his gift card

B) 2 movies and 4 video games

We are given that she must purchase at  least seven items

So, She could not buy 2 movies and 4 video games

C)6 movies and 5 video games

Cost of 6 movie = [tex]20 \times 6 =120[/tex]

Cost of 5 video game = [tex]50 \times 5= 250[/tex]

Total cost = 250+120=370

Since Lane has a gift card worth $300 , So Lane could not purchase 06 movie and 5 video games using his gift card

D) 8 movies and 1 video game

Cost of 8 movie = [tex]20 \times 8 =160[/tex]

Cost of 1 video game = 50

Total cost = 160+50=210

So, she could purchase 8 movies and 1 video game

Answer:

[tex]\sqrt{4}[/tex]

Step-by-step explanation:

Because

→ [tex]\sqrt{4}[/tex]  is equal to 2

→ [tex]\sqrt{125}[/tex]  is equal to  [tex]5\sqrt{5}[/tex] or 11.18033989

→ [tex]\sqrt{0.6}[/tex]  is equal to  [tex]\frac{\sqrt{15} }{5}[/tex]  or  0.7745966692

→ [tex]\sqrt{12.35}[/tex]  is equal to 3.514256678

Answer:

√4

Step-by-step explanation:

√4 = 2

The other ones can only be approximated:

√125 = 5√5 ≈ 11.18033

√0.6 ≈ 0.774597

√12.35 ≈ 3.51426

Answer:

Step-by-step explanation:

a parallelogram that is not a rectangle

Answer:

A

Step-by-step explanation:

I did it on the quiz

Answer:

(3,12)

Step-by-step explanation: The slope is rise over run so the rise is x and run run is the y

Answer:

x = -6

Step-by-step explanation:

to solve this you can just add 7 to both sides of the equation.

x -+7 = -13

  +7      +7

x = -6

this works because since it puts the x by itself, the other side of the equation is then equal to x and typically in equations with variables you solve for the variables.

hope it helps!

Answer: 19.723083

Step-by-step explanation:

Answer:

Step-by-step explanation:

well,

you mark an arrow to the left side of # line with open circle on -2

then,

you mark an arrow to the right side of # line with open circle on 4

Answer:

x = 44

right

Step-by-step explanation:

The sum of the angles in a triangle add to 180

90+ 46+x = 180

Combine like terms

136+x = 180

Subtract 136 from each side

136+x-136=180-136

x =44

Since we have a 90 degree angle it is a right triangle

Step-by-step explanation:

-5 +11y -3 = 25

11y = 25 + 5 + 3

11y = 33

y = 33/11

y = 3

Answer:

Angle 2 = 40 degrees              Angle 11 = 60 degrees

Step-by-step explanation:

Start by using angle 1 to find angle 2

angle 1 is 140 + 2 is unknown = 180 degrees

140 + x = 180

-140        -140

x = 40

Angle 2 is 40 degrees

Now add together angles 2 and 9 to find the measure of angle 11

40 + 80 + x = 180

120 + x = 180

-120        -120

x = 60

Angle 11 is 60 degrees

Answer:

Angle #2 = 40 degrees              Angle #11 = 60 degrees

Step-by-step explanation:

.

Answer:

11.6 should be your answer!

Step-by-step explanation:

Im so sorry if its wrong!

Hope this helps!!

( > .< )

Answer:

34 miles

Step-by-step explanation:

3.50 + 1.65m <60

1.65m< 60-3.50

1.65m<56.5

1.65m/1.65< 56.5/1.65

m<34.24242424

m<34

the correct answer is B

The answer is definitely B

Every triangle equals 180 degrees, and we're trying to find the angle of DBA. So, we can identify DAB as a 90 degree angle to start. Then we can identify that ACB = ADB, meaning ADB is 30 degrees. With that information, we have this equation:

DBA = 180 - 90 - 30

DBA = 60

The measure of the angle ∠DBA will be 60°. Then the correct option is C.

It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.

The diagram is given below.

BD is the diameter of circle O. If m∠ACB = 30°.

We know that the central angle is double the angle at the periphery that was subtended by the same chords.

∠AOB = 2∠ACB

∠AOB = 2 x 30

∠AOB = 60°

We know that the triangle AOB is an equilateral triangle, in which each angle will be 60°.

Thus, the measure of the angle ∠DBA will be 60°.

Then the correct option is C.

More about the circle link is given below.

https://brainly.com/question/11833983

#SPJ2

Answer:

6x+4

Step-by-step explanation:

First thing to do is distribute 1/4 into the parenthesis. So 1/4 times 8x and 16. Which will give you 2x and 4. Then add like terms which will be 2x + 4x which is 6x. Then you have the 4 left over so your new equation is 6x+4.

Answer:

[tex]\fbox{\begin{minipage}{3em}6x + 4\end{minipage}}[/tex]

Step-by-step explanation:

[tex]A= \frac{1}{4} (8x + 16) + 4x[/tex]

Apply associate property:

[tex]A = \frac{1}{4} *8x + \frac{1}{4} *16 + 4x[/tex]

Simplify the first two components:

[tex]A = 2x + 4 + 4x[/tex]

Rearrange the components:

[tex]A = 2x + 4x + 4[/tex]

Simplify:

[tex]A = 6x + 4[/tex]

Hope this helps!

:)

The fair price for the house is $205.88.

The correct answer is option A.

An equation contains one or more terms with variables connected by an equal sign.

Example:

2x + 4y = 9 is an equation.

2x = 8 is an equation.

We have,

To find the fair price for the house, we can use the equation of the line of best fit provided:

y = 0.074x + 50.48

where y represents the price of the house and x represents the square footage of the house.

We can substitute 2100 for x to find the price of the house.

y = 0.074(2100) + 50.48

y = 155.4 + 50.48

y = 205.88

Therefore,

The fair price for the house is $205.88.

Learn more about equations here:

https://brainly.com/question/17194269

#SPJ5

Answer:

A

Step-by-step explanation:

15:60

Simplify the ratio.

15/15:60/15

1:4

Answer:

1:4

Step-by-step explanation:

The answer is 1:4 because 15:60 simplified is 1:4

Answer:

66 units

Step-by-step explanation:

just addition

Answer:

66 units

Step-by-step explanation:

The perimeter of a two dimensional object is all of its sides added together:

6+14+10+17+4+3+8+4=

20+10+17+4+3+8+4=

30+17+4+3+8+4=

47+4+3+8+4=

51+3+8+4=

54+8+4=

62+4=

66 units

Answer:

On average, the slide drops 14 feet for every 3 feet of horizontal distance.

On average, the slide drops about 4.7 feet for every 1 foot of horizontal distance.

On average, the slide drops 14 feet for every 3 feet of horizontal distance. On average, the slide drops about 4.7 feet for every 1 foot of horizontal distance.

It is the average amount by which the function changed per unit throughout that time period. It is calculated using the slope of the line linking the interval's ends on the graph of the function.

It is given in the question that Interprets the average rate of change of -14/3 that you found previously.

On average, the slide drops 14 feet for every 3 feet of horizontal distance. On average, the slide drops about 4.7 feet for every 1 foot of horizontal distance.

To know more about the average rate of change follow

https://brainly.com/question/8728504

#SPJ6

Answer: -10

Step-by-step explanation:

-4 - 6 = -10

Answer:

It's Rotated I believe

Step-by-step explanation:

The correct answer is two places to the right

The following information should be considered:

Learn more: https://brainly.com/question/17429689?referrer=searchResults

Answer:

y= 3/4x-2

Step-by-step explanation:

y2-y1/x2-x1

7-1/12-4

m=6/8

m=3/4

now solve for b (y-intercept)

plug in any y or x from any point

7=3/4(12)+b

7=36/4+b

7=9+b

7=9+b

subtract nine on both sides

-2=b

thats how u get ur equation

Answer:

5(n<18)=13

Step-by-step explanation:

Five times a number less than eighteen is equal to thirteen

5                   (n            <               18                 =             13

Answer:

(-1,-4)

Step-by-step explanation:

The system of equations are given on a graph. The lines cross at coordinate (-1,-4). This would the the solution of the equations.

The system's solution should be (-1,-4).

Answer:

Step-by-step explanation:

The equation of lines shows the two points

and it cross in the coordinates(-1,-4)

so

solution is( -1,-4)

Answer:

18

Step-by-step explanation:

q^2 - 5q +4

Let q = -2

(-2)^2 - 5(-2) +4

4  + 10 +4

18

Answer:

The points that verify the system of inequalities are:

point E, pointF, and point G.

Step-by-step explanation:

Please see the attached image that illustrates the boundary lines in your system of inequalities.

The boundary line for the inequality [tex]2x+y<10[/tex] is depicted in green, while the boundary line for the inequality [tex]2x-4y>8[/tex] is depicted in red.

By solving for y in each inequality, we understand which half-plane should be considered for the inequality:

First inequality (green boundary line) :

[tex]2x+y<10\\y=10-2x[/tex]

This means that we are to consider the points below the green boundary line.

Second inequality (red boundary line) :

[tex]2x-4y >8\\2x-8>4y\\y<\frac{1}{2} x-2[/tex]

This means we have to consider the points below the red boundary line.

Recall as well that both conditions we arrived at have to be satisfied by the points that are solutions of both inequalities.

From the image, we can see that there are only three points that reside at the same time below the green and the red boundary lines. These points are: point E, pointF, and point G.

On the other hand, we have two points that lie on a boundary line (point J and H), but they should be ignored, since the system of inequalities contain just inequality symbols < or >, and not the "equal" sign.