if you're driving 30 miles per hour how many hours does it take to drive 60 miles?​

Answer:

4.322

Step-by-step explanation:

You would round up because of 8.

Hope this helps!! :D

Answer:

4.322

Since 8 is greater than 5, you round upwards.

Answer:

[tex] \boxed{\sf y = 6 \ cm} [/tex]

[tex] \boxed{\sf x = 25 \degree} [/tex]

Step-by-step explanation:

It is given that JKLMN [tex] \sim [/tex] VWXYZ

So, from this we can say that:

JK [tex] \sim [/tex] VW & ∠LMN [tex] \sim [/tex] ∠XYZ

i.e.

(2y - 8) cm = 4 cm & 4x° = 5(x - 5)°

Solving for y:

⇒2y - 8 = 4

Adding 8 to both sides:

⇒2y - 8 + 8 = 4 + 8

-8 + 8 = 0:

⇒2y = 4 + 8

4 + 8 = 12:

⇒2y = 12

Dividing both sides by 2:

⇒[tex] \sf \dfrac{2y}{2} = \dfrac{12}{2} [/tex]

[tex] \sf \dfrac{2}{2} = 1: [/tex]

⇒y = [tex] \sf \dfrac{12}{2} [/tex]

[tex] \sf \dfrac{12}{2} = 6: [/tex]

⇒y = 6 cm

Solving for x:

⇒4x° = 5(x - 5)°

Expanding right hand ride expression:

⇒4x° = 5x° - 25°

Adding 25° to both sides:

⇒4x° + 25° = 5x° - 25° + 25°

25° - 25° = 0°:

⇒4x° + 25° = 5x°

⇒5x° = 4x° + 25°

Substracting 4x° from both sides:

⇒5x° - 4x° = 4x° - 4x° + 25°

4x° - 4x° = 0°:

⇒5x° - 4x° = 25°

5x° - 4x° = x°:

⇒x° = 25°

Answer:

Two rays that share the same endpoint form an angle. The point where the rays intersect is called the vertex of the angle. The two rays are called the sides of the angle. An angle is also the space between the sides.

Step-by-step explanation:

Rotating CD 180 degrees around the point D would mean rotating it to the other side of D, in other words, rotating it clockwise. The new line would be D->M->C

Rotating CD 180 degrees around the point E would mean rotating it clockwise till "E" is a point of the line. The new line would be E->M->D.

Rotating CD 180 degrees would keep the line in the same position right now but with CD being in different order. The new line would be D->M->C.

Best of Luck!

Answer:

Step-by-step explanation:

Assuming A, B, and C are collinear and B is beetween A and C

AB + BC  = AC

2x + 6 + 6x + 5 = 51

 8x + 11 = 51

    8x = 40

     x = 5

BC = 6x+5 = 6×5 + 5 = 35

Answer:

214°

Step-by-step explanation:

The arc subtending an angle at the centre are equal, that is

arc ED = 90° and

arc DF = 360° - (90 + 146)° = 360° - 236° = 124°

Thus

arc EDF = arc ED + arc DF = 90° + 124° = 214°

Answer:

80

Step-by-step explanation:

Answer:

80 dollars a day

Step-by-step explanation:

400 divided by 5

= 80

hope this helps

Answer:

no . of items = 10

Position of mean = (n+1)/2

                            = 11/2 = 5.5th item

In the data 5.5 item is the average of 5th and 6th item

median = (x+2+x+4)/2

or 25= (2x+6)/2

or 50 = 2x +6

0r 2x = 44

x =22

Answer:

X=23

Step-by-step explanation:

11,13,15,19,_,_,30,39,46

The middle number is the first dash which is represented by x+2 which is equal to 25

25-2=23 which is x

Dash 2 which is represented by x+4 is equal to 23+4=27

Answer:

hi rojithapo

Step-by-step explanation:

my name is Naveen I am indian not China

my look like China boy

Answer:

I believe the answer is x=-2, and y=3.

Step-by-step explanation:

Given: x-y=-5

Fill in: -2-3=-5

Calculate: -5=5

-------------------------------

Given: x+y=1

Fill in: -2+3=1

Calculate: 1=1

Answer:

x = -2.

y = 3.

Step-by-step explanation:

x-y=-5

x+y=1

From the first equation

x = y - 5

Substitute this in the second equation:

y - 5 + y = 1

2y = 1 + 5 = 6

y = 3.

Substitute this into the second equation:

x + 3 = 1

x = -2.

Answer:

6p(3q - 2).

Step-by-step explanation:

The GCF ( Greatest Common Factor) of 18pq and 12p is 6p.

So 18pq-12p = 6p(3q - 2).

Answer:

.

Step-by-step explanation:

Answer:

$297.70

Step-by-step explanation:

First, find her hourly wage:

183.20/8

= 22.9

Then, multiply this by 13:

22.9(13)

= 297.7

So, she will make $297.70 next week

Answer:

297.70

Step-by-step explanation:

Read the pdf named "Brain"

Answer:

Answer: The scale factor of the triangle is 4

Step-by-step explanation:

Answer:

$111.83

Step-by-step explanation:

2 pairs would be original price (35) and 2 would be half off (17.5)

35 + 35 + 17.5 + 17.5= $105

sales tax = 6.5 %

$105 * 6.5 % = 6. 825

$105 + 6.825= 111.825

round up since you cant have 825 cents

$111.83

Answer:

The correct option is;

[tex]The \ domain \ restriction \ x \geq \dfrac{17}{2} \ results \ in \ m^{-1}(x) = \dfrac{17}{2} \pm \sqrt{x + \dfrac{289}{4} }}[/tex]

Step-by-step explanation:

The given information is that m(x) = x² - 17·x

The above equation can be written in the form;

y = x² - 17·x

Therefore;

0 = x² - 17·x - y

From the general solution of a quadratic equation, 0 = a·x² + b·x + c we have;

[tex]x = \dfrac{-b\pm \sqrt{b^{2}-4\cdot a\cdot c}}{2\cdot a}[/tex]

By comparison to the equation,0 = x² - 17·x - y, we have;

a = 1, b = -17, and c = -y

Substituting the values of a, b and c into the formula for the general solution of a quadratic equation, we have;

[tex]x = \dfrac{-(-17)\pm \sqrt{(-17)^{2}-4\times (1) \times (-y)}}{2\times (1)} = \dfrac{17\pm \sqrt{289+4\cdot y}}{2}[/tex]

Which can be simplified as follows;

[tex]x = \dfrac{17\pm \sqrt{289+4\cdot y}}{2}= \dfrac{17}{2} \pm \dfrac{1}{2} \times \sqrt{289+4\cdot y}} = \dfrac{17}{2} \pm \sqrt{\dfrac{289}{4} +\dfrac{4\cdot y}{4} }}[/tex]

And further simplified as follows;

[tex]x = \dfrac{17}{2} \pm \sqrt{\dfrac{289}{4} +y }} = \dfrac{17}{2} \pm \sqrt{y + \dfrac{289}{4} }}[/tex]

Interchanging x and y in the function of the inverse, m⁻¹(x), we have;

[tex]m^{-1}(x) = \dfrac{17}{2} \pm \sqrt{x + \dfrac{289}{4} }}[/tex]

We note that the maximum or minimum point of the function, m(x) = x² - 17·x found by differentiating the function and equating the result to zero, gives;

m'(x) = 2·x - 17 = 0

x = 17/2

Similarly, the second derivative is taken to determine if the given point is a maximum or minimum point as follows;

m''(x) = 2 > 0, therefore, the point is a minimum point on the graph

Therefore, as x increases past the minimum point of 17/2, m⁻¹(x) increases to give;

[tex]The \ domain \ restriction \ x \geq \dfrac{17}{2} \ results \ in \ m^{-1}(x) = \dfrac{17}{2} \pm \sqrt{x + \dfrac{289}{4} }}[/tex] to increase m⁻¹(x) above the minimum.

Answer:

b

Step-by-step explanation:

edge 2021

Answer:

Not equivalent

Step-by-step explanation:

Given:

We see that

Comparing:

They have same denominator but different numerator, hence they are different

Answer:  No

Step-by-step explanation:

No there are not since 3 times 7 = 21 and 9 times 3 = 27. The numbers that are used to multiply for the answers,  7 and 9, are not the same so therefore both ratios are not equivalent.

Answer: (b) 7.8 degrees

Step-by-step explanation: You need to pay attention to the number -8.4. It says the temperature changed by +2.7 degrees an hour for 6 HOURS. Therefore, your equation would be -8.4 + (2.7 * 6).

You have to solve whats in the parenthesis first, so your equation would end up being -8.4 + 16.2 making your answer 7.8 degrees.

Answer:

a=8

Step-by-step explanation:

Answer:

76

Step-by-step explanation:

multiply 19 and 4 to get 76. If you plug in 76 as x you can check to see if it's true

Answer:

224 meters

I took the test, and got it right.

Answer:

224 meters

Step-by-step explanation:

Have a great day!

Answer:

-1.825

Step-by-step explanation:

Just subtract!

Answer:

31

Step-by-step explanation:

Answer:

Step-by-step explanation

Answer:

-1.31

Step-by-step explanation:

14x - 11x - 29x = 34

-26x = 34

x = 34/ -26

x= -1.31

Answer:

43

Step-by-step explanation:

-2+3×15

45-2

43 is the answer

Answer:

266

Step-by-step explanation: