A fast food restaurant offers a bonus to each meal purchased. The bonus could be
a free ice cream, pop, or fries. The owner wants the fries to be given twice as often
as either ice cream or pop. Design a spinner that will simulate the likelihood of getting|
each type of bonus.
a) Four equal sectors labelled fries, fries, ice cream, pop.
b) Six equal sectors labelled fries, fries, fries, fries, ice cream, pop.
c) Three equal sectors labelled fries, ice cream, pop.
d) Seven equal sectors labelled fries, fries, fries, ice cream, ice cream, pop, pop. ( )

The surface area of the prism is 294yd²

The area occupied by a three-dimensional object by its outer surface is called the surface area. The prism is a square prism also called cube.

Therefore the surface area of a cube is expressed as;

SA = 6l².

This is because a cube has 6 equal faces. The area of each face is given as l². Where l is the side length.

Therefore the surface area of the prism is calculated as;

SA = 6l²

= 6 × 7²

= 6 × 49

= 294yd²

therefore the area of the prism is 294yd²

learn more about surface area from

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Answer:

Last Option

Step-by-step explanation:

Last one because the dot on top of the 4 is filled in and that means it can also equal 4. The rest of the line is going to the right of the 4 so x will be more than 4. The little line below the more than sign means it can also equal 4. Hope this helped :)

Answer:

Option D, x ≥ 4

Step-by-step explanation:

Rule 1: Closed circle: the inequality sign with a line at the bottom, its called greater than or equal to (≥), and less than or equal to (≤), that means that the number 4 is included in the data set.

Rule 2: Since the line is going to the right of 4, there are values greater than 4 in the data set which means x (any value) has to be greater than 4.

So bringing both rules together the equation would be: x ≥ 4

Hope this helps!

Answer:

Step-by-step explanation:

HOPE it HELPS

your ans. is D.........

Answer:

240 units 3.................

Answer:

72

Step-by-step explanation:

75% of 96 =

= 75/100 * 96

= 3/4 * 96

= 3 * 96/4

= 288/4

= 72

Answer:

(0.25 ; 21.75)

8.7 (1 decimal place)

Step-by-step explanation:

Net change in scores : X = 6,14,12,23,0

Sample mean, xbar = (6 + 14 + 12 + 23 + 0) /5 = 55 /5 = 11

Sample standard deviation, s = 8.66 ( from calculator)

Sample standard deviation = 8.7( 1 decimal place)

Sample size, n = 5

The 95% confidence interval; we use t, because n is small

Tcritical at 95%, df = 4 - 1 = 3 ; Tcritical = 2.776

Xbar ± standard Error

Standard Error = Tcritical * s/√n

Standard Error = 2.776 * 8.66/√5

Standard Error = 10.751086 = 10.75

Lower boundary = (11 - 10.75) = 0.25

Upper boundary = (11 + 10.75) = 21.75

(0.25 ; 21.75)

The

Given:

The pair of expressions in the options.

To find:

The two expressions are equivalent for any value of y.

Solution:

Two expressions are equivalent for any value of y, iff they are equivalent.

[tex]3(3y+3)=3(3y)+3(3)[/tex]

[tex]3(3y+3)=9y+9[/tex]

Clearly, [tex]3(3y+3)[/tex] is not equivalent to [tex]6y+6[/tex] or [tex]9y+6[/tex]. So, options A and B are incorrect.

[tex]9(y+3)=9(y)+9(3)[/tex]

[tex]9(y+3)=9y+27[/tex]

[tex]9(y+3)=27+9y[/tex]

The expression [tex]9(y+3)[/tex] is not equivalent to [tex]12+9y[/tex]. So, option C is incorrect.

The expression [tex]9(y+3)[/tex] is equivalent to [tex]27+9y[/tex].

Therefore, the correct option is D.

Answer:

The cost for 4 snacks is 18 dollars.

Cost for x snacks: 4.5x

Step-by-step explanation:

4 x 4.5 = 18

Answers:

The algebraic expression shown above is the same as writing 52+4.50x

You may not need to type in "dollars" or a dollar sign, as your teacher may just want the numbers and algebraic symbols.

=====================================================

Explanation:

There are four people going to the movies, and each ticket costs $13 a piece, so that means the total so far is 4*13 = 52 dollars.

If we want to include snacks, then it costs $4.50 per snack. Buying 4 packages will cost an additional 4.50*4 = 18 dollars. In total, if Kiran wants to buy four snacks, then he'll need 52+18 = 70 dollars.

---------------------

Instead of computing 4.50*4 to get 18, we can leave the "4.50*4" like it is. Adding it onto the 52 found earlier leads to the expression 52+4.50*4

Now imagine that instead of "4", we just had a generic placeholder x take over. The x is standing in for any positive real number, or it could stand in for 0 if Kiran decides to not buy any snacks at all.

If we replace that "4" with x, then the expression

52+4.50*4

is the same as

52+4.50*x

Often times, you'll see the multiplication symbol omitted and the expression could look like 52+4.50x

Because we can add two numbers in any order, that expression above is the same as 4.50x+52

-------------------

Extra info (optional section):

The useful thing about something like 4.50x+52 is that we can graph y = 4.50x+52 and/or set up a table to be able to quickly determine how much money it will cost for buying any amount of snacks.

For example, let's say he wants to buy 10 snacks. That means we replace x with 10 and evaluate like so

4.50x+52 = 4.50*10+52 = 45+52 = 97

Buying 10 snacks, on top of the 4 movie tickets, cost $97 in total.

Step-by-step explanation:

➜√(4-0)^2+(0+3)^2

➜√4^2+3^2

➜√16+9

➜√25

➜5units

Step-by-step explanation:

d=√)(x2-x1)²+(y2-y1)²

d=√(4-0)²+(-3+0)²

d=√(4)²+(-3)²

d=√16+9

d=√25

d=25

Answer:

next time put the whole question but

a)  In the cost function you have a fixed cost and a variable cost.  The variable cost is the slope of the line and the fixed cost is the y-intercept so we can say:

c(x)=4x+1550

b)  If you want to break even at 50 books, let p equal the price you need to charge, then we will need to create a profit function.  Profit equals revenue minus cost.

r(x)=px and c(x)=4x+1550, so P(x) (P(x) is the Profit function:

P(x)=r(x)-c(x) so:

P(x)=px-4x-1550

And we wish to break even at 50 books, so P(50)=0:

50p-4(50)-1550=0

50p-1750=0

50p=1750

p=$35.00

So you must price the book at $35.00 so that you break even when you sell 50 books.

c)

The income function is just like the profit function that we found in the last problem, and if we use the price found in that equation we have:

P(x)=35x-4x-1550

P(x)=31x-1550

d)

The variable cost should be the same, the fixed cost SHOULD go up because you have spent $200.00 more for research.  The cost function should now be:

c(x)=4x+200+1550

c(x)=4x+1750

But now our revenue function has changes since we are changer our price to $20 per book, And since P(x)=r(x)-c(x) we have:

P(x)=20x-4x-1750

P(x)=16x-1750

Answer:

What do I answer?.......

Answer:

This is an impossible question. tan(0) = 0 If this means that you are supposed to just add 3/4 to each of these, then sin(20) = 1.09

Hope that this helps!

Answer:

19.47°

Step-by-step explanation:

2 = opposite to A

6 = hypotenus

From trigonometry :

Sin A = opposite / hypotenus

Sin A = 2 / 6

Sin A = 1/3

A = sin^-1(1/3)

A = 19.47°

Answer:

false

Step-by-step explanation:

[tex] \rm \dashrightarrow \: {x}^{2} - 6x + 5 = 0 \\ \rm \dashrightarrow \: {( - 1)}^{2} - 6( - 1) + 5 = 0 \\ \rm \dashrightarrow \: 1 + 6 + 5 = 0 \\ \rm \dashrightarrow \: 7 + 5 = 0 \\ \rm \dashrightarrow \: 12 \cancel{ = }0[/tex]

Answer:

It is 603 units greater

Step-by-step explanation:

Given

See attachment for table

Average rate of change over (a,b) is calculated as:

[tex]Rate = \frac{f(b) - f(a)}{b-a}[/tex]

For interval [7,9], we have:

[tex][a,b] = [7,9][/tex]

So, we have:

[tex]Rate = \frac{f(9) - f(7)}{9-7}[/tex]

[tex]Rate = \frac{f(9) - f(7)}{2}[/tex]

From the table:

[tex]f(9) = 3878[/tex]

[tex]f(7) = 1852[/tex]

So:

[tex]Rate = \frac{f(9) - f(7)}{2}[/tex]

[tex]Rate = \frac{3878 - 1852}{2}[/tex]

[tex]Rate = \frac{2026}{2}[/tex]

[tex]Rate = 1013\\[/tex]

For interval [4,6], we have:

[tex][a,b] = [4,6][/tex]

So, we have:

[tex]Rate = \frac{f(6) - f(4)}{6-4}[/tex]

[tex]Rate = \frac{f(6) - f(4)}{2}[/tex]

From the table:

[tex]f(6) = 1178[/tex]

[tex]f(4) = 358[/tex]

So:

[tex]Rate = \frac{f(6) - f(4)}{2}[/tex]

[tex]Rate = \frac{1178 - 358}{2}[/tex]

[tex]Rate = \frac{820}{2}[/tex]

[tex]Rate = 410[/tex]

Calculate the difference (d) to get how much greater their rate of change is:

[tex]d = 1013 - 410[/tex]

[tex]d = 603[/tex]

Answer:

603

Step-by-step explanation:

i took it

Answer:

6 feet

Step-by-step explanation:

cos = adj/hyp

cos76 = adj/24

multiply both sides by 24

24 * cos76 = adj

5.806125494392025 = adj

Rounded

6 feet

Answer:

16

Step-by-step explanation:

45 +25+25+10+10+19=134 so 150-135=16

Answer:

x=4

Step-by-step explanation:

bshdnbsskbewidbehhe

Answer:

report me !!! dont ask why or how

Step-by-step explanation:

We need to find the derivative first. Think of x/(x+2) as x(x+2)^(-1). That will allow us to use the product rule. You could also use the quotient rule if you want. I'll go with the product rule route.

[tex]f(x) = \frac{x}{x+2}\\\\f(x) = x(x+2)^{-1}\\\\f'(x) = (x+2)^{-1}-x(x+2)^{-2}\\\\f'(x) = \frac{1}{x+2}-\frac{x}{(x+2)^2}\\\\f'(x) = \frac{x+2}{(x+2)^2}-\frac{x}{(x+2)^2}\\\\f'(x) = \frac{x+2-x}{(x+2)^2}\\\\f'(x) = \frac{2}{(x+2)^2}\\\\f'(x) = \frac{2}{x^2+4x+4}\\\\[/tex]

Since we want the tangent slope to be 1/2, we'll set f ' (x) equal to 1/2 and solve for x.

[tex]f'(x) = \frac{2}{x^2+4x+4}\\\\\frac{1}{2} = \frac{2}{x^2+4x+4}\\\\1*(x^2+4x+4) = 2*2\\\\x^2+4x+4 = 4\\\\x^2+4x = 0\\\\x(x+4) = 0\\\\x = 0 \ \text{ or } \ x+4 = 0\\\\x = 0 \ \text{ or } \ x = -4\\\\[/tex]

The two x values, x = 0 and x = -4, make f ' (x) equal to 1/2.

---------

If x = 0, then y is...

[tex]y = f(x)\\\\f(x) = \frac{x}{x+2}\\\\f(0) = \frac{0}{0+2}\\\\f(0) = 0\\\\[/tex]

Showing that (0,0) is one point we're after.

If x = -4, then,

[tex]y = f(x)\\\\f(x) = \frac{x}{x+2}\\\\f(-4) = \frac{-4}{-4+2}\\\\f(-4) = 2\\\\[/tex]

Making (-4, 2) the other point where the tangent slope is 1/2.

We use the original f(x) function, and not the derivative, when determining the y coordinates of the two points. If you plugged x = 0 or x = -4 into f ' (x), you'd get 1/2. So its good practice, but not what we're after ultimately.

Answer:

yes

Step-by-step explanation:

lets use a significance level of = 0.1

Determine if the sequence indicates randomness

First step :

H0 : pattern is random

H1 : pattern not random

n1 ( number of true answers ) = 10

n2 ( number of false answers ) = 10

also number of runs for T = 5

       number of runs for F = 5

Total number of runs = 5+ 5 = 10

Given that critical value at 0.05 = 23

we will reject the null hypothesis ( i.e the sequence departs from randomness )

Answer:

Step-by-step explanation:

9. disagree;

error: he should have divided 60 by 4, not subtracted. So the correct answer is x = 15.

10. disagree;

error: it should be 3x + 2 = 127 (opposite angles)

so x = 125/3

Answer:

Add

3.8

and

13.2

.

8

x

⋅

17

−

6

Multiply

17

by

8

.

136

x

−

6

Answer:

-1 = 7 - 8

Step-by-step explanation:

Answer:

12. C. 40 more students chose baseball than basketball

20. 500 total flowers

Step-by-step explanation:

12. To find the number of students that chose baseball, we multiply 25% by 800 students surveyed. First we have to convert 25% to a decimal = 0.25

800 x 0.25 = 200 students chose baseball.

Then, for basketball, 20% of students chose that, so 20% = 0.20

800 x 0.2 = 160 students chose basketball

200-160 = 40 more students chose baseball than basketball

----------------------------

20. I don't know what your "magic sentence" looks like. You can set this up as a ratio, where x is the total number of flowers, and the 56% is a fraction of 56/100

280/x = 56/100

then cross multiply

28,000 = 56x

divide by 56

x = 500

Check the math: 500 x 0.56 = 280

If you want to tell me what your teacher's "magic sentence" looks like in the comments, I can try to fill it in with/for you.

Answer:

translation

Step-by-step explanation:

Answer:

I think it's dilation or none

Step-by-step explanation: