find the surface area of the rectangular prism

Answer:

the answer I got is negative 4

The inequality representing the relationship between the two ticket prices will be y ≥ 1.5x.

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

The venue also wants the price of more expensive tickets to be at least 1.5 times the price of the cheaper tickets.

Let x represent the price of cheaper tickets and y be the price of the higher-priced tickets.

Then the inequality representing the relationship between the two ticket prices will be

y ≥ 1.5x

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Answer:

  B

Step-by-step explanation:

A box and whisker plot is a graphical representation of the 5-number summary of a data set. It shows the minimum, maximum, median, and the values of the 1st and 3rd quartiles. Here, you're asked to identify the data set having the same 5-number summary as that shown in the plot.

__

The minimum of the data set is shown by the end of the left "whisker." The plot shows a minimum value of 41. Choice C has a minimum of 40, so is not the data set we're looking for.

The maximum of the data set is shown by the end of the right whisker. The plot shows a maximum of 50, matching all of the answer choices shown.

The median of the data set is shown by the vertical line in the middle of the box. Here, the median of the data set is indicated as 44. This will be the middle value, or the average of the two middle values of the set of data.

These sets of data have 10 values, an even number, so the median is the average of the middle two.

Choices A and B have a middle pair of 43 and 45, which means their median is (43+45)/2 = 44. Choice D has a middle pair of 43 and 47, so a median of (43+47)/2 = 45. Choice D is not the data set we're looking for.

The 1st and 3rd quartiles of the data set are shown by the left and right ends of the box, respectively. They are indicated as being 43 and 48.

The median divides the data set into two parts. It is not considered to be a member of either part. The 1st quartile is the median of the lower (left) part. The 3rd quartile is the median of the upper (right) part.

Here, each part has 5 data values, so the quartile values are 3rd from the ends of the data set. In choice A, they are 43 and 49, not a match to the given plot. In choice B, they are 43 and 48, matching the values in the given box plot.

The data set in choice B could be represented by the box plot shown.

Answer:

x = - 6 , x = 1

Step-by-step explanation:

to find the zeros let f(x) = 0 , that is

x² + 5x - 6 = 0

consider the factors of the constant term (- 6) which sum to give the coefficient of the x- term ( + 5)

the factors are + 6 and - 1 , since

6 × - 1 = - 6 and 6 - 1 = + 5 , then

(x + 6)(x - 1) = 0 ← in factored form

equate each factor to zero and solve for x

x + 6 = 0 ⇒ x = - 6

x - 1 = 0 ⇒ x = 1

Answer:

8th graders i think is the answer

Step-by-step explanation:

Answer:

The 9th grades had given a higher percentage because even without converting to a percent, you can tell just by seeing that there is a 1 number difference if you would try to add.

Answer:

12.5

Step-by-step explanation:

divide 43.75 by 3.5 to get your answer

Answer:

Step-by-step explanation:

The ratio of boys to girls in a school is 4:5. There are 220 boys in the school. How many students attend the school?​

find the number of girls

4 : 5 = 220 : x

x = 5 * 220 : 4

x = 275

sum boys and girls

220 + 275 =

495 (your answer)

check

4 : 5 = 220 : 275

4 : 5 = 4 : 5

the answer is good

The total volume of this squared-base pyramid based on the information provided is 2666 micrometers.

The general formula to calculate the volume of a squared-based pyramid is:

Base area: 20 x 20 = 400

400 micrometers x 20/ 3 = 2666 micrometers.

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The choice in the solution set of the equation 4x = 30 is x = 7.5

The equation is given as:

4x = 30

Divide both sides of the equation by 4

4x/4 = 30/4

Evaluate the quotients

x = 7.5

Hence, the choice in the solution set of the equation 4x = 30 is x = 7.5

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Answer:

4500

Step-by-step explanation:

all of them were admitted.

Answer:

Paul and Krystal spent 13 hours at the pool

Step-by-step explanation:

I Thank

The dot product of the two matrices D and n is determine as (4, - 7).

The dot product of the two matrices is calculated as follows;

n = (-2, -1), and D = [-4   2]

                               [4    3]

D.n =  (-2, -1). [-4   2]  = (-2 x -4) + (-1 x 4) = 4

                     [4    3]  = (-2 x 2) + (-1 x 3) = -7

D.n = (4, - 7)

Thus, the dot product of the two matrices D and n is determine as (4, - 7).

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Step-by-step explanation:

a lot of typos in the problem description.

I assume the price of the mix is 1:1 related to the prices of the individual types of coffee.

so, from what I understood we can define

x = pounds of the first type of coffee.

y = pounds of the second type of coffee.

x + y = 21 pounds

1.4x + 2.95y = 2.6(x + y) = 2.6×21 = $54.60

in the second equation we have to bring the given "$2.60 per pound" to the total price, which is $2.60 times the total amount of pounds (which is 21).

from the first equation we get

x = 21 - y

and that we use in the second equation

1.4×(21 - y) + 2.95y = 54.6

29.4 - 1.4y + 2.95y = 54.6

1.55y = 25.2

y = 25.2 / 1.55 = 16.25806452... ≈ 16.26 pounds

x = 21 - y = 4.741935484... ≈ 4.74 pounds

so, he should mix 4.74 pounds of the first (cheaper) type and 16.26 pounds of the second (expensive) type.

Their property tax would be =$ 26,460

A mill is one-thousandth of a dollar, and in property tax terms is equal to $1.00 of tax for each.

Therefore 27 mills = $27 for every $1,000 of assessed value, or 2.7%.

To calculate the property tax would

= 27/100× 98,000

= 2646000/100

=$ 26,460

Therefore, Their property tax would be =$ 26,460

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Answer:

  318

Step-by-step explanation:

The rate of 5.3% is an annual rate, and specifies the amount of interest earned in a 12-month period by the principal amount of the CD. The interest amount is found by multiplying the interest rate by the principal amount.

__

The amount of the penalty is 5.3% of 6000:

  0.053 × 6000 = 318

Wendy paid a penalty of 318 for her early withdrawal.

Answer:

19 cents or 0.199

Step-by-step explanation:

Hope it helped!

Answer:

19 cents

Step-by-step explanation:

divide total cost by amount of items

Answer:

y₁ - y₂ = (-7/9)(x₁ - x₂)

Step-by-step explanation:

The general structure for an equation in point-slope form is:

y₁ - y₂ = m(x₁ - x₂)

In this form, "m" represents the slope and the "x" and "y" values come from each point. To find "m", plug the values of each point into the equation.

Point 1: (4, -3)                   Point 2: (-5,4)

y₁ - y₂ = m(x₁ - x₂)                                  <---- Original equation

-3 - 4 = m(4 - (-5))                                 <---- Plug values in for "x" and "y"

-7 = m(4 - (-5))                                      <---- Simplify left side

-7 = m(9)                                               <---- Simplify within parentheses

-7/9 = m                                              <---- Divide both sides by 9

I don't exactly understand what "fully simplified point-slope form" means because if all of the variables are plugged in, you wouldn't be left with an equation. It may just be asking for the slope, which in this case would make the equation look like this:

y₁ - y₂ = (-7/9)(x₁ - x₂)  

It may want you to find the equation in slope-intercept form (y = mx + b), and you would have to find "b". Sorry I don't quite understand what exactly you are looking for.

The amount of money that Phyllis invested at each given rate of 4 and 6 percent is = $394.57 and $591.86 respectively.

The time the investment lasted= 12 years.

Simple interest = 1579.05 - 800= $779.05

The principal capital= $800

Rate of the both capital invested;

= SI × 100/P ×T

= 779.05 × 100/800 × 12

= 77,905/9600

= 8.11%

To find the amount of money that Phyllis invested at each given rate,

Rate 1 = 4/8.11× 800

= 3200/8.11

= $394.57

Rate 2 = 6/8.11× 800

= 4800/8.11

= $591.86

The amount of money that Phyllis invested at each given rate of 4 and 6 percent is = $394.57 and $591.86 respectively.

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Answer:

L = 16

w = 10

Step-by-step explanation:

Givens

Area = 160 sqr inches

width = x

length = x + 6

Equation

Area = L * w

Solution

Substitute in the equation all of the givens.

160 = x(x + 6)                     Remove the brackets

160 = x^2 + 6x                   Subtract 160 from both sides.

160-160 = x^2 + 6x - 160

0 = x^2 + 6x - 160

This equation factors. Turn it around first

x^2 + 6x - 160 =  0

(x - 10)(x + 16) = 0

Answer

x (width) = 10

x + 16 = 16

Answer:

The length is 16 inches and the width is 10 inches.

Step-by-step explanation:

Answer:

40 dollars

Step-by-step explanation:

We can use a ratio to solve the problem

5 pounds         50 pounds

----------------  = -----------------

4 dollars            x dollars

Using cross products

5 * x = 4 * 50

5x = 200

Divide by 5

5x/5 = 200/5

x = 40

40 dollars

Step-by-step explanation:

[tex]\sf 5 \: pounds \longrightarrow 4 \: dollars[/tex]

[tex]\sf 1\: pounds \longrightarrow \dfrac{4}{5} \: dollars[/tex]

[tex]\sf 50\: pounds \longrightarrow \dfrac{4}{5}×50 \: dollars[/tex]

[tex]\sf \longmapsto 40 \: dollars[/tex]

Answer:

x=6, y=4

Step-by-step explanation:

x - y = 2

2x = 3y => 2x - 3y = 0

x - y = 2 | ×(-2) => -2x + 2y = -4

2x - 3y = 0

-2x + 2y = -4

2x - 3y = 0

___________

0 - y = - 4 | ×(-1)

y = 4

Substitution in x - y = 2:

x - 4 = 2 | +4

x = 2+4 = 6

Step-by-step explanation:

a linear relationship is simply a straight line relationship.

any equation that can be pot in the form of y = mx + b is a linear relationship.

linear = straight

hope this helps

Step-by-step explanation:

it is not important that the triangle is right-angled.

but the distance between each pair of points is calculated via Pythagoras

c² = a² + b²

with c being the Hypotenuse (baseline opposite of the 90° angle) = distance between the end points, and a and b are the legs (= the x and y coordinate differences of the 2 end points) of the virtual right-angled triangles between each pair of points.

so,

AB² = (6 - -3)² + (-4 - -4)² = 9² + 0² = 81

AB = 9 ft

BC² = (6 - 6)² + (8 - -4)² = 0² + 12² = 144

BC = 12 ft

and now for AC, which is because of the special case of how the main triangle is placed and oriented, the same calculation as with Pythagoras for the main right-angled triangle. but I keep showing you the point distance calculation, because this is what you will need in the future for more general triangle or other shapes calculations :

AC² = (6 - -3)² + (8 - - 4)² = 9² + 12² = 81 + 144 = 225

AC = 15 ft

so, Nasir will need

9 + 12 + 15 = 36 ft

of fencing.

Answer:

(-21, 54.5)

Step-by-step explanation:

Hello there!

We have two methods to solve this problem.

We will limit ourself to Substitution method.

3x – 2y = -4.................... 1.

4x + 2y = 25................... 2.

First lets manipulate eq.2 in terms of y.

4x + 2y = 25

2y = 25 - 4x

y = 25/2 - 2x .............. eq.3

Substitute eq.3 into eq.1

3x – 2(25/2 -2x) = -4

Solve for x.

Opening the brackets

3x - 25 - 4x = -4

-x = 21

x = -21

Substitute x into equation 3

y = 25/2 - 2x

=> y = 25/2 - 2(-21)

= 54.5

In terms of x and y; (x,y)

= (-21, 54.5)

I hope this helps.

Have a nice studies.

Answer:

[tex]31.8\%[/tex]

Step-by-step explanation:

The area of the circle is [tex]A=\pi r^2=\pi(4)^2=16\pi[/tex]

The area of the triangle is [tex]A=\frac{bh}{2}=\frac{8*4}{2}=\frac{32}{2}=16[/tex]

Hence, the probability of a randomly selected point within the circle falls in the red shaded area is [tex]\frac{16}{16\pi}=\frac{1}{\pi}\approx0.318\approx31.8\%[/tex]

Answer:

0.93x

Step-by-step explanation:

the total amount is:

x(1-15%+8%)=0.93x

so the answer is 0.93x

Answer:

19i

Step-by-step explanation:

note that [tex]\sqrt{-1}[/tex] = i

[tex]\sqrt{-361}[/tex]

= [tex]\sqrt{361(-1)}[/tex]

= [tex]\sqrt{361}[/tex] × [tex]\sqrt{-1}[/tex]

= 19 × i

= 19i

Answer:

the value of cos 0 is 7

Step-by-step explanation:

because you have to times it twice

Answer:

Between 0 and 1

Step-by-step explanation:

Cos Θ is the x coordinate of the unit circle. The points of that circle in quadrant IV have an x coordinate of 0≤x≤1.

The option that correctly replaces the question mark in Aisha's proof is SAS (Option C). See it explained below.

Mathematical proofs are statements that are used to demonstrate that a mathematical expression or logic of true.

Since the portion of the question that shows the question mark is missing, we can rewrite the proof as follows:

Step 1

AB Dissects BC

AE ║ BD

Reason - It is given

Step 2

BC ≅ BE

Reason -  Definition of Segment Bisector

Step 3

∠ABE ≅ ∠CBD

Step 4

∠BCD ≅ ∠BEA

Reason

Alternative Interior Angles

Step 5

ΔBCD ≅ ΔBEA

Reason

SAS Postulate

Step 6

QED

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