whywould a prism beat a sphere in a competition

Answer:

In order for it to benefit his father to buy the pass Seth have to attend the movies for 11 times.

Step-by-step explanation:

Given:

Cost of movie pass = $40

Cost per matinees with pass = $1.00

Cost per matinees without pass = $3.50

To Find:

Number of times must Seth attend in order for it to benefit his father to buy the pass = ?

Solution:

Let x be the number of times he wants to visit

To profit his father

The number of visits without pass =  the number of visits with passin the cost  of $3.50

Then, without pass if he visits for x times then the cost will be  = 3.50x

Also with pass, the number of times he can visit the pass  =  [tex]\frac{40}{3.50}[/tex]

then

[tex]\frac{350 x}{3.50} = \frac{40}{3.50}[/tex]

[tex]3.50x = 40[/tex]

[tex]x = \frac{40}{3.50}[/tex]

x =  11.42

x = 11 (approx)

Answer:

$56?

Step-by-step explanation:

I think you get 100%-30%=70%.

70%=0.70

0.70*$80= $56

The thickness of a stack of 8 sheets of metal, each 2/3 of an inch thick, is 5 1/3 inches.

To determine the thickness of a stack of 8 sheets of metal that are each 2/3 of an inch thick, we simply multiply the thickness of one sheet by the number of sheets in the stack:

(2/3 inch/sheet) x 8 sheets = (2/3) x 8

Now, we simplify the expression by multiplying 2 by 8 which equals 16, and then we keep the same denominator:

16/3 inches

This fraction can also be converted to a mixed number:

5 1/3 inches

So, the stack will be 5 1/3 inches thick.

(2√5 )²

= 2√5 × 2√5

= 4×5

= 20

15/60+12/60+10/60= 37/60

Answer:

y = x - 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - x - 1 ← is in slope- intercept form

with slope m = - 1

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-1}[/tex] = 1, thus

y = x + c ← is the partial equation of the perpendicular line

To find c substitute (- 1, - 2) into the partial equation

- 2 = - 1 + c ⇒ c = - 2 + 1 = - 1

y = x - 1 ← equation of perpendicular line

3 copies of 1/6 makes it 1 copy 1/2 because 3 times of 1/6 is 3/6 which is 1/2

Step-by-step explanation:

3 times 1/6 = 3/6

which is 1/2.

Hence it takes 3 copies of 1/6 to show the amount as 1 copy of 1/2

Alternatively,

1/6+1/6+1/6= 1/2

3/6=1/2

1/2=1/2

Answer:

see explanation

Step-by-step explanation:

sinA = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{BC}{AB}[/tex] = [tex]\frac{20}{29}[/tex]

cosA = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{AC}{AB}[/tex] = [tex]\frac{21}{29}[/tex]

tanA = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{20}{21}[/tex]

The functions sin, cos, and tan for a given angle in a right triangle are defined in terms of ratios of the side lengths. They are respectively the ratios of the opposite side to the hypotenuse, the adjacent side to the hypotenuse, and the opposite side to the adjacent side.

In a right triangle, sin(A) is defined as the ratio of the side opposite to angle A (opposite side) to the hypotenuse, cos(A) as the ratio of the adjacent side to the hypotenuse, and tan(A) as the ratio of the opposite side to the adjacent side.

Suppose the lengths of the sides of the given right triangle are a, b, and c (where c is the length of the hypotenuse).

Then, sin(A) = a/c, cos(A) = b/c, and tan(A) = a/b. These ratios must be put in reduced form by simplifying the fractions if necessary.

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Answer:

$45

Step-by-step explanation:

We are given the following information;

We need to determine the amount of interest the money will earn after three years.

Therefore, in this case;

Simple interest = ($300 × 5 × 3) ÷ 100

                         = $45

Thus, the money invested earned a simple interest of $45

Using the formula for simple interest, we find out that Edin will earn £45 as interest on his savings of £300 over a period of 3 years at a simple interest rate of 5% per annum.

The subject of this question is simple interest. The formula for simple interest is: Principal * Rate * Time. Let's plug in the given values into the formula. Here, the principal amount is £300, the rate of interest is 5% per annum (or 0.05 in decimal form), and the time is 3 years. So, the calculation will be: £300 * 0.05 * 3.

After performing the calculation, we find that the interest Edin will earn after 3 years is £45.

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Answer:

Step-by-step explanation:

a vertical line has an undefined slope....(8,6).....its equation is x = 8 because no matter what y is, x will always be 8.

but u need it in standard form Ax + By = C

so it is written as : x + 0y = 8 <===

A = 1

B = 0

C = 8

Ax + By = C will be a vertical line passing through point (8,6) for values of A = 1 , B = 0 and C = 8.

What is a vertical line ?

In a coordinate plane, a line parallel to the Y-axis is called vertical Line. Any point in this line will have the same value for the x-coordinate.

We know that the x-axis has lines that run vertical then if you have a point use your x-ordinate.  

The equation of a vertical line is :

x = C

here : C is the value of the x- coordinates the line passes through.

In the given question we have to find out the values of A , B and C for which Ax + By = C be a vertical line passing through point (8,6).

Here , the coordinate of point (x , y) is (8 , 6).

So , the equation of vertical line will be x = 8.

So , if we compare it with the general form of line , Ax + By = C, then we get :

8A + By = 8

So , values of A , B and C :

A = 1, B = 0, C = 8

Therefore , Ax + By = C will be a vertical line through point (8,6) for values of A = 1 , B = 0 and C = 8.

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Answer:

1/5 3/8 1/2

Step-by-step explanation:

Answer: [tex]0.8[/tex] pages per hour.

Step-by-step explanation:

For this exercise it is important to know that, by definition, Direct variation equations have the following form:

[tex]y=kx[/tex]

Where "k" is the constant of variation.

Therefore, it is a straight line that passes through the origin.

In this case, given the graph attached in the exercise, you can follow these steps in order to find the constant of variation:

Step 1: You need to choose any point on the line. Let's choose the point (5,4).

Step 2: Now you must ubstitute the coordinates of that point into  [tex]y=kx[/tex]. Then:

[tex]4=k(5)[/tex]

Step 3: Finally, you must solve for the Constant of variation "k", in order to find its value. Therefore, you get that this is:

[tex]k=\frac{4}{5}\\\\k=0.8[/tex]

Answer:

3

Step-by-step explanation:

You would start by dividing

3 by 4. Then multiply 3/4 and 4. The 4s would cancel out leaving you with 3.  3/ 4×4=3

hope this helps

Final answer:

To answer the student's question, first find the quotient of 3 and 4, which is ¾, and then multiply that result by 4 to get the final answer of 3.

Explanation:

The student is asking for the result of multiplying 4 with the quotient of 3 and 4. To solve this, first calculate the quotient of 3 and 4, which is ¾. Then, multiply this result by 4.

Step 1: Quotient of 3 and 4 = 3 ÷ 4 = ¾

Step 2: Multiply the quotient by 4 = ¾ × 4

When you calculate step 2, you get:

¾ × 4 = (3 × 4) / 4 = 3

So, 4 times the quotient of 3 and 4 is 3.

Answer:

21

Step-by-step explanation:

Answer:

18 and 9/10

Step-by-step explanation:

if you add 4/5+3/5=7/5 or 1.4.       3.5*5=17.5, then you add them together to get 18.9 or in the fraction version= 18 and 9/10

Answer:

[tex]\begin{array}{cccc}&\text{Like pizza}&\text{Do not like pizza}&\text{Total}\\ \\\text{Like burritos}&165&10&175\\\text{Do not like burritos}&70&5&75\\ \text{Total}&235&15&250\end{array}[/tex]

Step-by-step explanation:

250 people are surveyed. 15 of them do not like pizza, then

250 - 15 = 235 like pizza.

30% do not like burritos. 30% of 250 is

[tex]250\cdot 0.3=75[/tex] people which do not like burritos and 250 - 75 = 175 people like burritos.

Then the incomplete two way frequency table is

[tex]\begin{array}{cccc}&\text{Like pizza}&\text{Do not like pizza}&\text{Total}\\ \\\text{Like burritos}&&&175\\\text{Do not like burritos}&&&75\\ \text{Total}&235&15&250\end{array}[/tex]

66% like pizza and burritos. Then

[tex]250\cdot 0.66=165[/tex] people like pizza and burritos.

Hence,

[tex]235-165=70[/tex] people like pizza and do not like burritos

[tex]175-165=10[/tex] people like burritos and do not like pizza

[tex]250-165-70-10=5[/tex] people do not like pizza and do not like burritos

Hence the complete two way frequency table is

[tex]\begin{array}{cccc}&\text{Like pizza}&\text{Do not like pizza}&\text{Total}\\ \\\text{Like burritos}&165&10&175\\\text{Do not like burritos}&70&5&75\\ \text{Total}&235&15&250\end{array}[/tex]

Answer:

8

x

2

+

22

x

y

+

15

y

2

Step-by-step explanation:

yeet

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

5 cups per day.....1 cup = 8oz.....so 5 cups = (5 * 8) = 40 oz

cut down by 75%....means ur only drinking 25%

25% of 40 oz =

0.25(40) = 10 oz per day <===

Answer:

86.4 km

Step-by-step explanation:

Since the cyclist travels 1.8km in a minute, he will travel 48 times that in 48 minutes:

[tex]48*1.8 = 86.4[/tex]

Answer: daughter = 6 years

mother = 30 years

Step-by-step explanation:

Let the daughter's age be x and the mother's age be y , then from the first statement

y = 5x  .......................... equation 1

In 6 years time , the mother will be y + 6 and the daughter will be x + 6 ,from the second statement , we have

y + 6 = 3 ( x + 6 )

y + 6 = 3x + 18 ..................................... equation 2

substituting equation 1 into equation 2 , we have

5x + 6 = 3x + 18

5x - 3x = 18 - 6

2x = 12

x = 6

Therefore , the daughter's age is 6 years ,then the mother's age will be 6x5 = 30 years

Answer:

D is correct

Step-by-step explanation:

The total length of ribbon needed to line the two long sides of the hat is 22 inches.

Given that, the sides above the right angles are (3x + 5) inches and (5x + 1) inches. The sides below the right angle are (2x + 1) inches and 5 inches.

A kite is a quadrilateral that has 2 pairs of equal adjacent sides. The angles where the adjacent pairs of sides meet are equal.

Now, (3x + 5)=(5x + 1)

⇒x=2

2x+1=5

⇒x=2

Thus, (3x + 5)=11 inches

Now, 11+11=22 inches

Therefore, the required answer is 22 inches.

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Answer:

Step-by-step explanation:

The given question says that, the man is standing 50 ft away from the statue.

Looking at the top of the statue, the  angle of elevation is 8°.

Hence, where the man is standing, from that horizontal plane, the distance of the top of the statue is [tex]50 tan 8°[/tex].

Similarly, looking down towards the base, the angle is 14°.

Hence, the height from the base of the statue to the horizontal plane, where the man is standing is [tex]50 tan 14°[/tex].

The total height of the statue is [tex]50 tan 8° + 50 tan 14° = 50( tan 8° + tan 14°)[/tex] = 22.24475804 ≅22.24 ft.

Answer:

The true statement is: A. The range for Week 1 equals the range for Week 2.

Step-by-step explanation:

Let's recall that the range of a data set is the difference between the largest number and the smallest number.

As we can confirm in the plot for week 1, the range is:

Range for week 1 = Largest number - smallest number

Range for week 1 = 89 - 62 = 27

In the same way, we can confirm in the plot for week 2 that the range is:

Range for week 2 = Largest number - smallest number

Range for week 2 = 89 - 62 = 27

Ranges for week 1 and 2 are equal, thus,

The true statement is: A. The range for Week 1 equals the range for Week 2.

Answer:

The homeowner can buy 144 tiles maximum.

Side length = 16 feet.

Step-by-step explanation:

The cost of each tile is $3.45.

So, at $500, the homeowner can buy [tex]\frac{500}{3.45} = 144.92[/tex] ≈ 144 number of tiles. {As the number of tiles can not be a fraction.}

Since each tile is a square with area 256 square inches, so the homeowner can arrange the tiles in 12 by 12 arrangements.

Each tile has side length = √256 = 16 inches.

So, the side length of the largest patio is (16 × 12) inches = 16 feet. (Since, 1 foot = 12 inches). (Answer)

Answer:

4 hours = 14400 seconds.

Step-by-step explanation:

i) In 1 hour there are 60 minutes

ii) in 1 minute there are 60 seconds

iii) therefore 1 hour = 60 minutes

                               = 60 [tex]\times[/tex] 60 seconds

                               = 3600 seconds

iv) therefore to convert 4 hours to seconds we have to multiply the number of hours by 3600 seconds

      therefore 4 hours = 4 [tex]\times[/tex] 3600 seconds = 14400 seconds.

Answer:

20; 500

Step-by-step explanation:

1.5 is what percent of 7.5. 7.5 is 5 times 1.5, so 1.5 is 1/5 of 7.5. 1/5=20%. Inversely, 7.5 is 5 times 1.5, 5=500%.

[tex]1 \frac{1}{2} \text{ is } \underline{20\%} \text{ of } 7 \frac{1}{2}[/tex];  [tex]7 \frac{1}{2} \text{ is } \underline{500\%} \text{ of } 1 \frac{1}{2}[/tex]

[tex]1 \frac{1}{2}[/tex] becomes [tex]\frac{3}{2}[/tex].

[tex]7 \frac{1}{2}[/tex] becomes [tex]\frac{15}{2}[/tex].

[tex]\text{Percentage} = \frac{\text{part}}{\text{whiole}} \times 100\%[/tex]

[tex]\frac{\frac{3}{2}} {\frac{15}{2}} \times 100\% = \frac{3}{15}\times 100\% = \frac{1}{5}\times 100\% = 20\%.[/tex]

Thus,

[tex]1 \frac{1}{2} \text{ is } \underline{20\%} \text{ of } 7 \frac{1}{2}.[/tex]

[tex]\frac{\frac{15}{2}} {\frac{3}{2}} \times 100\% = \frac{15}{3}\times 100\% = 5\times 100\% = 500\%.[/tex]

Thus,

[tex]7 \frac{1}{2} \text{ is } \underline{500\%} \text{ of } 1 \frac{1}{2}.[/tex]

Complete question:

fill in the blanks:

[tex]1 \frac{1}{2}[/tex] is ____ % of [tex]7 \frac{1}{2}.[/tex] ;            [tex]7 \frac{1}{2}[/tex] is ____ % of [tex]1 \frac{1}{2}.[/tex]  

The correct answer is C; Dependent variable.

Further explanation:

Researchers are very interested in the dependent variable. This variable is what is being tested and measured during the research in progress. In this case, it is the new energy drink.

The researchers are looking for an effect to occur while changing the independent variable of the case study. There are three main different types of variables used in research studies, they are;

With the athletes doing exercises after consuming the test product, they are seeing if the product does give more energy than if they hadn't of consumed the energy drink.

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Answer:

[tex]\large\boxed{x=\dfrac{17}{7}}[/tex]

Step-by-step explanation:

[tex]\text{A geometric mean of}\ x\ \text{and}\ y:\\\\\sqrt{xy}\\\\\text{Let}\ x-\text{the number}.\\\\\text{Substitute:}\\\\\sqrt{17}=\sqrt{(7)(x)}\iff17=7x\qquad\text{divide both sides by 7}\\\\\dfrac{17}{7}=\dfrac{7x}{7}\to x=\dfrac{17}{7}[/tex]