Henry loves to read. He reads 90 pages in one hour. How many pages does he read in 5 hours​

Answer:

[tex]\huge\boxed{b = \sqrt{a}}[/tex]

Step-by-step explanation:

If we have an equation [tex]b^2 = a[/tex] and we want to find what b is in relation to a, we can change the equation so that we have b on one side and whatever is on the other side is what b is.

[tex]b^2 = a[/tex]

To isolate b, we can take the square root of both sides as taking the square root of something squared results in the base.

[tex]\sqrt{b^2} = \sqrt{a}[/tex]

[tex]b = \sqrt{a}[/tex]

So b is the square root of a.

Hope this helped!

Answer:

Step-by-step explanation:

You can set this up as a proportion

30/25 = x/5

Cross multiply

25*x = 30*5

25*x = 150

x = 150/25

x = 6

Answer:

30 to 150

25 to 5

Step-by-step explanation:

if there are 25 basketballs for every 5 soccer balls, that means that there is 1 soccer ball for every 5 basketballs. so to get how many soccer balls to basket balls, you would multiply 30 by 5 to get 150. For every 30 soccer balls there are 150 basketballs.

Answer:

What's the question?

Step-by-step explanation:

Put it DB and I'll gladly answer!

Answer:

48 and 96

hope it's helpful ......

Answer:

48 and 96

Step-by-step explanation: each time you multiply by 2

Answer:

f

Step-by-step explanation:

Answer:

C: One soda cost $2

Step-by-step explanation:

One soda costs $2. As you can see, which each soda you buy, X and Y go up by two. The relationship of X and Y is x=2y, with X being sodas and Y being dollars

Hi! I believe your answer is 0.42, (simplified form of 0.42424242424) which is 14/33 (or [tex]\frac{14}{33}[/tex] ) as a decimal. I hope this helps you! Good luck and have a great day. ❤️✨

Answer:

The answer for base is 10 and the answer for height is 20 and the answer for unit is cm Area = 100 in2

Step-by-step explanation:

Answer:

Step-by-step explanation:

Area = 1/2 b * h

b = 12 m base

h = 11 meters

Area = 1/2 * 12 * 11

Area = 1/2 * 132

Area = 66 square meters.

Answer:

2

Step-by-step explanation:

14x+6/3=-8+4x

Using order of operations, this is how I would solve it

14x+6/3=-8+4x

14x+2=-8+4x

add 8 on both sides while subtracting 4x

10x+10=0

10x=-10

x=-1

Now, square -3 which is positive 9. 9-7 is 2. Hope I didn't make any mistakes because I'm a 6th grader btw. Hope it helps.

9514 1404 393

Answer:

  $2552

Step-by-step explanation:

The perimeter of the pool area is given by the formula ...

  P = 2(L+W)

  P = 2(38 +20) = 116 . . . feet

Then the cost of the fence installation is ...

  (116 ft)($22/ft) = $2552

Answer:

The value of x and y are x = 15 and y = 63

Step-by-step explanation:

From the given figure

∵ The angles of measures (9x - 7)° and (4x - 8)° are adjacent angles

∵ The angles of measures (9x - 7)° and (4x - 8)° formed a line

∴ They formed a pair of linear angles

∵ The sum of the measures of the linear angles is 180°

→ That means add them and equate the sum by 180

∴ (9x - 7) + (4x - 8) = 180

→ Add the like terms

∵ (9x + 4x) + (-7 + -8) = 180

∴ 13x + (-15) = 180

→ Remember (+)(-) = (-)

∴ 13x - 15 = 180

→ Add 15 to both sides

∴ 13x - 15 + 15 = 180 + 15

∴ 13x = 195

→ Divide both sides by 13

∵ [tex]\frac{13x}{13}[/tex] = [tex]\frac{195}{13}[/tex]

∴ x = 15

∵ Lines m and n are parallels

∵ A line intersected them

∵ The angles of measures (2y + 2), (9x - 7) are interior alternate angles

∵ The interior alternate angles are equal in measures

∴ 2y + 2 = 9x - 7

∵ x = 15

→ Substitute the value of x

∴ 2y + 2 = 9(15) - 7

∴ 2y + 2 = 135 - 7

∴ 2y + 2 = 128

→ Subtract 2 from both sides

∴ 2y + 2 - 2 = 128 - 2

∴ 2y = 126

→ Divide both sides by 2

∴ [tex]\frac{2y}{2}[/tex] = [tex]\frac{126}{2}[/tex]

∴ y = 63

The values of x and y are 15 and 63, respectively

The angles in the figure are: (9x - 7)° and (4x - 8)°

These angles are adjacent angles.

So, we have:

[tex]\mathbf{9x - 7 + 4x - 8 = 180}[/tex]

Collect like terms

[tex]\mathbf{9x + 4x = 180 + 8 + 7}[/tex]

[tex]\mathbf{13x = 195}[/tex]

Divide both sides by 13

[tex]\mathbf{x = \frac{195}{13}}[/tex]

[tex]\mathbf{x = 15}[/tex]

Also, we have:

[tex]\mathbf{2y + 2 = 9x - 7}[/tex] -- interior angles

Subtract 2 from both sides

[tex]\mathbf{2y = 9x - 9}[/tex]

Substitute 15 for x

[tex]\mathbf{2y = 9\times 15 - 9}[/tex]

[tex]\mathbf{2y = 126}[/tex]

Divide both sides by 2

[tex]\mathbf{y = 63}[/tex]

Hence, the values of x and y are 15 and 63, respectively

Read more about angles in parallel lines at:

https://brainly.com/question/2279752

Answer:

Step-by-step explanation:

1/2y + 1/2 = 3 1/2

        - 1/2      -1/2      subtract 1/2 on both sides to isolate 1/2y

1/2y = 3                      divide both sides by 1/2 to get y value

y = 6

Answer:

55/72 feet squared

Step-by-step explanation:

The area of a rectangle is Length x Height, or Width x Height.

Here, we have a width of 5/6 feet and a height of 11/12 feet.

We multiple 5/6 and 11/12 to get 55/72 feet squared.

Answer:

Oop-

Step-by-step explanation:

-Que the Ali A intro-

Answer:

63.63 seconds, or round up if you need to?

Step-by-step explanation:

Answer:

day 2

Step-by-step explanation:

day 1 had a 26.19-degree change while day 2 had a 33.47

Answer:

Day 2 is a bigger change.

Step-by-step explanation:

Day 1 change: 26.19

Day 2 change: 33.47

Add the positive version of each number together to find the change, like so:

Day 1: -12.75 to 12.75 and 13.44 to 13.44   12.75+13.44= 26.19

Day 2: -8.83 to 8.83 and 24.64 to 24.64   8.83 + 24.64=33.47

PS: Next time, please be a little nicer with your question.

Answer:

Step-by-step explanation:

Let the number of MC questions = x

Let the number of SA questions = y

x + y = 15

2x + 5y = 60

Multiply the top equation by 2

2x + 2y = 30

Put this underneath the second equation and subtract

2x + 5y = 60

2x + 2y = 30           Subtract

 3y = 30

   y = 10                  Subtract

2y = 20

y = 10

x + y = 15

x + 10 = 15

x = 5

Answer:

Can't see your questions clearly

Step-by-step explanation:

Answer:

= 3.9 candy per pound

Step-by-step explanation:

This is a fraction equal to

7.8 candy ÷ 2 pounds

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 2

7.8 candy        ÷ 2

________

2 pounds ÷ 2

=  

3.9 candy

_______

1 pound

=  

3.9 candy

_______

pound

= 3.9 candy per pound

Answer:

x = 62

Step-by-step explanation:

its an isosceles triangle which means the the two angles on the bottom are equal or something like that. triangles aren't fun

Answer:

[tex]\angle PQR=30^{\circ}[/tex]

Step-by-step explanation:

It is given that,

[tex]\angle PQS=16^{\circ}\\\\\angle SQR=(9x+17)^{\circ}\\\\\angle PQR=(12x-6)^{\circ}[/tex]

We need to find the measure of [tex]\angle PQR[/tex].

From the given figure, [tex]\angle PQR=\angle PQS+\angle SQR[/tex]

Putting all the values, we get :

[tex]12x-6=16+9x+17\\\\12x-9x=16+17+6\\\\3x=39\\\\x=13[/tex]

[tex]\angle PQR=12x-6\\\\=12(3)-6\\\\=30^{\circ}[/tex]

So, the measure of [tex]\angle PQR[/tex] is 30 degrees.

Answer:

-4.714

Step-by-step explanation:

Answer:

1 (if the 3 3/7 is positive)

or

-4 5/7 (if the 3 3/7 negative)

Answer: 20

Step-by-step explanation: it’s on a percentage calculator lol

Answer:

18.43

Step-by-step explanation:

−3h

​3

​​ +6h

​2

​​ −3h

Answer:

go to khan academy on you tube he's really good at explaining stuff also sorry that's all i got...

Step-by-step e

Answer: A

5(cos(143o) + i sin(143o))

Step-by-step explanation:

The expression that is closest to the polar form of z + w is

[tex]5(cos(143^{\circ})+i~sin(143^{\circ}))[/tex]

"The number of the form a + ib where a, b are real numbers and  [tex]i=\sqrt{-1}[/tex]"

"The polar form of the complex number z = x + iy is [tex]z=r(cos(\theta)+i~sin(\theta))[/tex] where [tex]r=\sqrt{x^{2} +y^{2} } , ~\theta=tan^{-1}(\frac{y}{x} )[/tex] "

For given question,

We have been given two complex numbers.

[tex]z = 3\sqrt{2} (cos(135^{\circ}) + i~sin(135^{\circ})[/tex] and [tex]w = cos(180^{\circ}) + i~sin(180^{\circ})[/tex]

We know that,

[tex]cos(135^{\circ})\\=cos(90^{\circ}+45^{\circ})\\=-sin(45^{\circ})\\=-\frac{1}{\sqrt{2} }[/tex]

And

 [tex]sin(135^{\circ})\\=sin(90^{\circ}+45^{\circ})\\=cos(45^{\circ})\\=\frac{1}{\sqrt{2} }[/tex]

So, the first complex number would be,

[tex]z = 3\sqrt{2} (cos(135^{\circ}) + i~sin(135^{\circ})\\\\z = 3\sqrt{2} (-\frac{1}{\sqrt{2} } + i~\frac{1}{\sqrt{2} } )\\\\z=-3+3i[/tex]

We know that [tex]cos(180^{\circ})=-1,~~sin(180^{\circ})=0[/tex]

So the second complex number would be,

[tex]w = cos(180^{\circ}) + i~sin(180^{\circ})\\\\w = -1 + 0i[/tex]

So, the sum of complex numbers z and w would be,

[tex]z+w\\=(-3+3i)+(-1+0i)\\=-4+3i[/tex]

We write the complex number -4 + 3i in the polar form.

Comparing above number with x + iy, we have x = -4 and y = 3

[tex]\Rightarrow r=\sqrt{(-4)^2+3^2}\\ \Rightarrow r=5[/tex]

Also, the value of [tex]\theta[/tex] would be,

[tex]\theta=tan^{-1}(\frac{3}{-4} )\\\\\theta= -36.86^{\circ}\\\\\theta=180^{\circ}-36.86^{\circ}\\\\\theta=143.14^{\circ}[/tex]

So the complex number -4 + 3i in the polar form would be, [tex]5(cos(143.14^{\circ})+i~sin(143.14^{\circ}))[/tex]

Therefore, the expression that is closest to the polar form of z + w is

[tex]5(cos(143^{\circ})+i~sin(143^{\circ}))[/tex]

Learn more about polar form of complex number here:

https://brainly.com/question/917768

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