Item 6
Question 1
The box-and-whisker plot represents the numbers of gallons of water needed to fill different types of dunk tanks offered by a company.





a. What fraction of the dunk tanks require at least 500 gallons of water? Write the fraction in simplest form.

About ___
of the dunk tanks require at least 500 gallons of water.

Answer:

Slope = 3

Y-intercept = -2

Step-by-step explanation:

Points on the line: (0, -2) and (1,1)

Slope:

m=(y2-y1)/(x2-x1)

m=(1+2)/(1-0)

m= 3/1

m = 3

Slope-intercept:

y - y1 = m(x - x1)

y + 2 = 3(x - 0)

y + 2 = 3x

y = 3x - 2

y = mx + b, where

m = slope

b = y-intercept

Answer:

tan ∅ = 16/12

Step-by-step explanation:

Once again here are the trigonometric ratios

Sin = Opposite over Hypotenuse

Cos = Adjacent over Hypotenuse

Tan = Opposite over Tangent

We are asked to find tan ∅

Looking at the trigonometric ratios we see that tan = opposite over adjacent

So we find the side length opposite of the indicated angle (∅) which would be 16 then we find the angle adjacent angle ( the side that is not the hypotenuse nor the opposite ) so the adjacent of angle ∅ is 12

so tan ∅ = opposite (16) over adjacent (12)

tan ∅ = 16/12

Answer: c

Step-by-step explanation

Answer:

Step-by-step explanation:

Find the total surface area of the

following square pyramid:

6 cm

8 cm

SA = [?] cm2

Answer:

Step-by-step explanation:

Answer:

160

Answer:

We know that

V = πr²h

400 = 22/7 × r² × 8

400 × 7 = 22 × 7r²

2800 = 154r²

2800/154 = r²

18 ≈ r²

4.2 = r

Hi there!

[tex]\large\boxed{-18a^{3}c^{3}}[/tex]

To solve, keep in mind the following property:

xᵃ · xᵇ = xᵃ⁺ᵇ

We are given:

-3a⁷ (6)c⁷a⁻⁴c⁻⁴

Combine like exponent bases using the property above:

-3(6)a⁷⁻⁴c⁷⁻⁴

Simplify:

-18a³c³

Answer:

it may be V ≈ 4191.6 cm3 so sorry if i'm wrong!!!

Step-by-step explanation:

Answer: V ≈ 2514.9 cm3

Step-by-step explanation:

To find the volume of the prism, first calculate the area of the base.

To find the apothem of the hexagonal base, recognize that the sum of the measures of the interior angles in a hexagon is (6−2)⋅180°=720°. So, the interior angle has measure 720°6/=120°.

The base angle of the triangles with the hexagon's sides as their base is one-half of 120°, or 60°. The apothem bisects these triangles to form two right triangles with the short leg length of 5.5 cm.

By the definition of tangent, tan 60°=?/5.5.

Solve for ?.

?=5.5 ⋅ tan 60°

Therefore, the apothem length equals 5.5 ⋅ tan 60°.

The area of a hexagonal base.

B=6⋅(12⋅11⋅?)

Substitute 5.5⋅tan60° for ?.

B=6⋅(12⋅11⋅5.5 ⋅ tan60°)

Simplify.

B=181.5 ⋅ tan60° cm2

The volume of a prism.

V=Bh

Substitute 181.5 ⋅ tan60° for B and 8 for h.

V=(181.5 ⋅ tan60°)⋅8

Multiply 181.5 by 8.

V=1452 ⋅ tan60°

Use a calculator to approximate.

V≈2514.9 cm3

Therefore, the volume of the hexagonal prism is approximately 2514.9 cm3.

Answer:

The average movie ticket prices in 2020 was $ 10.25.

Step-by-step explanation:

If (0 , 4) and ( 8, 6) are two points on a line, the slope of the line is:

m= y2 - y1/ x2 - x1

m= (6 - 4) / (8 - 0)

m= 1 / 4

The y-intercept is $ 4, meaning it is the average movie ticket price in 1995.

Therefore,

Y = mx + b

Y = 1/4 x + b

It is m= 1/4, interpreting the slope we have that for every additional 4 years the average movie ticket price will increase by $ 1.

The year 2020 is 25 years after 1995, then

Y= 1/4 (25) + 4

Y = $ 10.25

The average movie ticket price was $10.25 in 2020.

Answer:

Your answer is on the picture

Step-by-step explanation:

Answer:

49(pi)

Step-by-step explanation:

Area of a circle = (pi)r squared

= 7 squared (pi)

= 49(pi)

= 49 x pi

Answer:

49(pi)

Step-by-step explanation:

Answer:

m=-4/3

Step-by-step explanation:

The equation for slope is y2-y1/x2-x1

m=(y2-y1)/(x2-x1)  

m=(12--4)/(1-13)  

m=16/-12

m=-4/3

Answer:

10x - 5 is the answer !!!!

Answer:

=10x-5

Step-by-step explanation:

in in such an algebra effects of in the brackets which is 5×2x and 5x1 you'll end up getting 10x-5

A.

i did this test already trust me

Answer:

I am not sure check it

but the answer is A

Answer:

B, C, D

Step-by-step explanation:

7x + 1 + 105 = 180

7x = 74

x = 74/7

4y + 14 + 7y + 1 = 180

11y = 165

y = 15

m<A = 4y + 14 = 4(15) + 14 = 74°

m<B = 7x + 1 = 7(74/7) + 1 = 75°

m<C = 7y + 1 = 7(15) + 1 = 106°

Answer: B, C, D

Answer:

225 x 0.15 = 33.75 profit

Step-by-step explanation:

Answer:

Profit:  Rs 33.75

Step-by-step explanation:

His profit was 15% of Rs 225, which comes to 0.15(Rs 225), or Rs 33.75

Answer:

4x^2-21x-18

Step-by-step explanation:

Answer:

Midpoint for A is (1,5) and for B it is (2.5,4.5)

Step-by-step explanation:

To get the midpoint you add the x coordinates and divide by 2 and then the y coordinates and divide by 2.

X = (3 + -1)/2    y = (8+ 2)/2

   =2/2 = 1             10/2=5

Answer:

I think C

so it's kind of a process of elimination you have to see the order of the numbers and what order each number is in so for A you can see that it's 345 is greater than 354 which is inspect cuz 354 is greater than 345 for B that's an obvious answer is is 400 is less than 40 which is obviously wrong because 400 is greater has two zeros and 40 only has one 0 for C it has 4008 is less than 4080which is actually correct if you look at the way that the numbers are written you could see that 80 is greater than 8 D it's obviously not correct because it says 20090 is equal to 23009 which is incorrect because 90 is greater than 9

Answer:

-5/2 or -2.5

Step-by-step explanation:

Find the slope using rise over run (y2 - y1) / (x2 - x1)

(y2 - y1) / (x2 - x1)

(33 - 8) / (-16 + 6)

25 / -10

= -5/2

So, the slope is -5/2 or -2.5

Answer:

We know that

Slope

[tex] \bf \: \dfrac{y_2 - y_1}{x_2 - x_1} [/tex]

Where

y2 = 33

y1 = 8

x2 = -16

x1 = -6

33 - 8/-16 - 8

25/-24

Answer:

(3,0)

Step-by-step explanation:

KHAN

Answer:

Your answer would be 11.

Step-by-step explanation:

This is because area = length x width.

16 x 11 = 176 :) Hopefully this helps!

Answer:

x = 11 units.

Step-by-step explanation:

Area = x * 16 = 176

x = 176/16

= 11.

Answer:

A= 314.16m^{2}

Step-by-step explanation:

if its a half a circle then we use the formula to find area of a circle and get half of it.

[tex]A=\pi r^{2}[/tex]

[tex]A=\pi 10^{2}[/tex]

[tex]A= 314.16m^{2}[/tex]  

Answer:

$240

Step-by-step explanation:

Since a CAD is 4/5 of a Euro (just for this question) all we needed to do was to multiply 0.8 by 300.

Answer:

74.5

Step-by-step explanation:

Answer: The answer is 74.5

Step-by-step explanation:

Hope this helped! :)

Answer:

100.000 liters of water would b your answer.

Step-by-step explanation:

if you round 103 to the nearest hundred you answer is 100 that how i got my answer 100.000

Answer:

the answer 4

Step-by-step explanation:

4 of each because (1.25x4) + (1.50x4) = 11.50

Answer:

Sally bought 6 sodas and 2 cups of coffee.

Step-by-step explanation:

Variable x = number of sodas

Variable y = number of coffees

$1.50x + $1.25y = $11.50

x + y = 8 drinks

$1.50(6) + $1.25(2) = $11.50

$9.00 + $2.50 = $11.50

I simply plugged in numbers that totalled to 8 drinks until I reached $11.50 as the total.

For example:

$1.50(5) + $1.25(3) = $11.50

$7.50 + $3.75 = $11.50

$11.25 = $11.50

This is not correct as they do not equal so this cannot be the answer.

Well formatted version of question :

Olga tried to solve an equation step by step

1/4(1/3k+9)=6

step 1- 1/3k+9=24

step 2- 1/3k=15

step 3- k=5

find olgas mistake

step 1

step 2

step 3

olga did not make a mistake

Answer:

Step 3

Step-by-step explanation:

Given the equation :

1/4(1/3k+9)=6

Step 1 : Olga multiplied both sides by 4

1/4(1/3k + 9) * 4 = 6* 4

1/3k + 9 = 24

Step 2 : Olga subtracted 9 from sides

1/3k + 9 - 9 = 24 - 9

1/3k = 15

Step 3 : Both sides should be multiplied by 3

1/3k * 3 = 15 * 3

k = 45

This is the step Olga made a mistake. Olga attempted to divide 15/3 = 5 instead of Multiplying 15 * 3 to obtain 45

Answer: No

Step-by-step explanation:

The problem says x is bigger than 5, and smaller than or equal to 9.

Possible values of x can only be 6,7,8, and 9.

So, 12 cannot be the answer.