Micah recorded the amount of time his mom and dad spend reading bedtime stories. He plotted the data in the box plot below.

Which is an accurate comparison of the two data sets?

The lengths of time that his mom reads are typically longer and have less variability than the lengths of time that his dad reads.

The lengths of time that his mom reads are typically longer and have more variability than the lengths of time that his dad reads.

The lengths of time that his mom reads are typically shorter and have less variability than the lengths of time that his dad reads.

The lengths of time that his mom reads are typically shorter and have more variability than the lengths of time that his dad reads.

Final answer:

The store sells 270 bottles of aqua paint when it sells 30 bottles of green paint.

Explanation:

To find out how many bottles of aqua paint the store sells when it sells 30 bottles of green paint, we can set up a proportion. Since the store sells 9 bottles of aqua paint for every 1 bottle of green paint, we have the ratio 9/1. We can set this equal to the unknown quantity, x, over 30 (the number of green paint bottles).

9/1 = x/30

Next, cross multiply to solve for x. Cross multiplying gives us:

9 * 30 = 1 * x

Simplifying this equation gives us:

270 = x

Therefore, the store sells 270 bottles of aqua paint when it sells 30 bottles of green paint.

Answer:

-3.66666666668

Step-by-step explanation:

The zero's you do not have to add because they have to content or value.

-4 5/9 into improper = 31/9 = -4.55555555556

8/9 = 0.88888888888

ADD

[tex]\left\begin{array}{ccc}-4.55555555556\\+\\0.88888888888\end{array}\right\\---------[/tex]

-3.66666666668

Hope this helps you!

Have a good night! :)

Answer:

-3.66666666668

Step-by-step explanation:

Answer:

6x

Step-by-step explanation:

x + x + x + 2x + x

Simplify the equation

4x + 2x

6x

Hope this was useful to you!

Answer:

The negation to the given statement "At least one gift in the bag is wrapped - true" is " At least one gift in the bag is not wrapped" - False

Step-by-step explanation:

Given statement is At least one gift in the bag is wrapped is true

The negation to the given statement is " At least one gift in the bag is not wrapped" - False

To determine whether the statement is a negation of the given statement is True or False :

Answer:

182 miles

Step-by-step explanation:

52 times 3.5=182

The Answer is 182 miles

When multiplying 52 by 3.5 you'll get 182 as the product

Solution:

Given that,

One of the acute angles in a right triangle has a measure of 34.6°

The sum of the three angles of a triangle is always 180 degrees.

Also, that the measure of a right angle is always 90 degrees

Let "x" be the other acute angle

Therefore,

x + 90 + 34.6 = 180

x + 124.6 = 180

x = 180 - 124.6

x = 55.4

Thus the measure of other acute angle is 55.4 degrees

Answer:

Yes, what the other person said

Step-by-step explanation: basically you subtract 90.0 - 34.6

Step-by-step explanation:

Hope it helps you in your learning process.

Answer: Yes

sdizjaoijf

Answer:

=3

=2

Step-by-step explanation:

12−5+6=0

using the Quadratic Formula where

a = 1, b = -5, and c = 6

=−±2−4‾‾‾‾‾‾‾‾√2

=−(−5)±(−5)2−4(1)(6)‾‾‾‾‾‾‾‾‾‾‾‾‾‾√2(1)

=5±25−24‾‾‾‾‾‾‾√2

=5±1‾√2

The discriminant 2−4>0

so, there are two real roots.

Simplify the Radical:

=5±12

=62=42

which becomes

=3

=2

hope this helps :)

Answer:

The value of x is equal to 7

Step-by-step explanation:

if -4x + 26 = -2

-4x = -2 - 26

-4x = - 28

Divide both sides by -4, then we will have

x = -28/-4

x = 7

Steps to solve:

-4x + 26 = -2

~Subtract 26 to both sides

-4x + 26 - 26 = -2 - 26

~Simplify

-4x = -28

~Divide -4 to both sides

-4x/-4 = -28/-4

~Simplify

x = 7

Best of Luck!

Answer:

D: Pay less than the minimum amount due.

Step-by-step explanation:

Answer:

34°

Step-by-step explanation:

The boy is 5 feet 6 inches tall.

The boy casts a shadow that is 8 feet and 3 inches long.

We know 12 inches equal 1 foot.

Therefore the boy's height is 5.5ft and the shadow is 8.25ft.

The angle of elevation of the sun is given by the tangent of the angle A.

[tex] \tan(A) = \frac{5.5}{8.25} [/tex]

[tex]\tan(A) = 0.6667[/tex]

[tex]A= {\tan}^{ - 1} (0.6667)[/tex]

[tex]A=33.69 \degree[/tex]

To nearest degree is 34°

Answer: 34 degrees

Step-by-step explanation:

the boy is 5’6

5x12=60+6=66

The shadow is 8’3

8x12=96+3=99

You would use tan(X)= 5.5/8.25

calculate to get 33.69 round to 34.

The small number is 2.

The large number is 3.

Step-by-step explanation:

Let the two consecutive numbers be x and x+1.

The sum of these two consecutive integers = small integer + large integer

The sum of these two consecutive integers is x+x+1 = (2x+1)

It is given that,

Therefore, it can determined that :

(2x+1) = 3x-1

Keeping x term on one side and constants on other side,

3x-2x = 1+1

x = 2

Therefore, the small number is 2 and the large number is x+1 = 3.

Answer:

1 inch : 5⅓ miles

6 inches

Step-by-step explanation:

Map : Actual

4½ : 24

1 : 24/4.5

24 ÷ 9/2 = 24 × 2/9 =

1 inch on map represents an actual distance of 16/3 miles in actual

16/3 = 5⅓ miles

Map : Actual

¼ inch : 1 mile

X inch : 24

¼×24 = 6 inches

Answer:    3/16 inches : 1 mile

                  6 inches

Step-by-step explanation:

[tex]\dfrac{\text{Model}}{\text{Actual}}:\dfrac{4\frac{1}{2}\ inches}{24\ miles}\div\dfrac{24}{24}=\dfrac{\frac{3}{16}}{1}\quad \longrightarrow \quad \large\boxed{\dfrac{3}{16}\ inches:1\ mile}\\[/tex]

[tex]\dfrac{\text{Model}}{\text{Actual}}:\dfrac{\frac{1}{4}\ inches}{1\ mile}=\dfrac{x}{24\ miles}\\\\\\\text{Cross Multiply}:\quad \dfrac{1}{4}\bigg(24\bigg)=x\\\\.\qquad \qquad \qquad \qquad \quad \quad \large\boxed{6=x}[/tex]

Answer:

  84.14 square units, total

Step-by-step explanation:

Use the formulas for area of the figures you're interested in.

Rectangle Area

  A = LW

Circle Area

  A = πr^2

__

Your rectangle area will be ...

  A = 5 × 14 = 70 . . . . square units

The area of a full circle with diameter 6 (radius = 6/2 = 3) will be ...

  A = π × 3^2 = 9π

The area of a semicircle of that size is half that:

  semicircle area = 9π/2 = 4.5π

Then the total area of the two figures is ...

  70 + 4.5π ≈ 70 +14.14 = 84.14 . . . square units

Answer:

Option A, -4

Step-by-step explanation:

Step 1:  Make an equation to represent the problem

(-9)(x) = 36

Step 2:  Solve for x by dividing both sides by -9

-9x / -9 = 36 / -9

x = -4

Answer:  Option A, -4

Answer:

Hi there!

The correct answer will be 15 yd

Step-by-step explanation:

There are two ways you can go about solving this problem

Method One: Pythagorean Theorem

a^2 + b^2 = c^2 then all you have to do is plug in the values

(12)^2 + (9)^2 = c^2 you should get c^2 = 225 then you square root both sides and you get c = 15

Method Two:  Pythagorean Identities

This triangle represents a 3,4,5 triangle

All the sides just tripled so that means the hypotenuse is 5*3 which equals 15

Answer:

$16.15

Step-by-step explanation:

The wholesale price:

Selling Price:

Pair of shoes sold for $16.15 in the store

The department store marks up the wholesale price by 90%, equating to $7.65. Adding this to the original wholesale price of $8.50, the retail price of the shoes in the department store is $16.15.

To calculate the retail price of the shoes in the department store, we need to add the markup value to the original wholesale price. The markup is 90% of the wholesale price. Therefore, we calculate 90% of $8.50, and then add that to the original price.

To find 90% of $8.50, we multiply $8.50 by 90/100. This gives us $7.65. This is the markup value.

We then add this markup value to the original wholesale price. So, $8.50 + $7.65 = $16.15.

The price of the pair of shoes in the department store is therefore $16.15.

https://brainly.com/question/34159861

#SPJ3

Answer:

110

Step-by-step explanation:

Answer:

105 miles

Step-by-step explanation:

first we have to find her speed before it is reduced

so

60/1.5

thats equal to 40

she can travel 40 mph

reduce that by 5 so her speed is now 35mph

35*3=105

Answer:

12

Step-by-step explanation:

Just take 35 and subtract 23.

Answer:5

Step-by-step explanation:

you do it

Answer:

3 3/8

Step-by-step explanation:

Answer:

C = 6pi units

or

C is approximately 18.84 units

Step-by-step explanation:

The circumference of a circle is given by

C = pi *d

The diameter is 6 units

C = 6*pi units

If we approximate pi by 3.14

C = 6*3.14

C = 18.84 units

Answer:

The associative property states that you can add or multiply regardless of how the numbers are grouped. By 'grouped' we mean 'how you use parenthesis'. In other words, if you are adding or multiplying it does not matter where you put the parenthesis. Add some parenthesis any where you like!.

The Commutative property states that order does not matter. Multiplication and addition are commutative.

hope this helps please mark brainliest!

Answer:

Θ = 52°

Step-by-step explanation:

Once you've set up the triangle, you can see that the adjacent side is 170 cm and the opposite side is 220 cm.

tanΘ = [tex]\frac{220}{170}[/tex]

Θ = tan-1 (220/170)

Θ = 52°

The angle of elevation of the sun when a person 170 cm tall casts of shadow 220 cm long is 37.694°.

Trigonometry deals with the relationship between the sides and angles of a right-angle triangle.

A person 170 cm tall casts of shadow 220 cm long.

Then the angle will be

[tex]\rm tan \theta = \dfrac{Perpendicular }{Base}[/tex]

We have

Perpendicular = 170 cm

Base = 220 cm

Then

[tex]\rm tan \theta = \dfrac{170}{220}\\\\\\ \theta \ \ \ \ = tan^{-1} \dfrac{170}{220}\\\\\\\theta \ \ \ \ = 37.694^o[/tex]

More about the trigonometry link is given below.

https://brainly.com/question/22698523

Answer:

B

Step-by-step explanation:

B produces the term 12x that cancels out after subtraction.

In order to eliminate one variable by subtracting, you should multiply the top equation by -3 and the bottom equation by 2. In doing so, this will make the coefficients of y equal and opposite, allowing this variable to be eliminated when the two equations are added together.

The question relates to the method of solving a system of linear equations by subtraction. In order to eliminate one variable when subtracting these equations, we would need to manipulate the equations such that the coefficients of one variable are exact opposites. Hence, the objective is to make the coefficients of y, -2 and -3, opposite each other.

To achieve this, the correct answer is C. Multiply the top equation by -3 and the bottom equation by 2.

By performing these multiplications we'll have:
-12x + 6y = -21.
6x - 6y = 30.
Now, if we add these two equations, we'll be able to eliminate the y variable and can proceed to solve for x.

https://brainly.com/question/21620502

#SPJ2