At a hockey game, a vender sold a combined total of 117 sodas and hot dogs. The number of sodas sold was two times the number of hot dogs sold. Find the number of sodas and the number of hot dogs sold.

Answer:

10 ppl play sport. 2/5= 4/10 so 4 ppl play soccer

Step-by-step explanation:

Answer:

A cylinder's volume is π r² h, and its surface area is 2π r h + 2π r².

Answer:

10/3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

1/3(4 + 18) - 2²

Step 2: Evaluate

Answer:

87

Step-by-step explanation:

Answer:

13.15 is ur answer hope this helped!

each ticket costs $13.15

When the former image is rotated, the dots will be located at section 2 and 7.

When an image is rotated, the constituents within it also changes its position as the object is moves from a point to another about a pivot junction.

From the given image above, after the rotation of the initial image, the dot should be located at number 2 and 7 of the new image.

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Answer:

308cm

Step-by-step explanation:

We know that,

Radius of a circle(r)= diameter/2

So, r= 616/2

i.e 308cm

Answer:

(a) = iv

b = i

c= ii

d = iii

Q-3

- radical 3

Step-by-step explanation:

Answer:

s= 1.401

Step-by-step explanation:

subtract 5.313 from 3.912 :D

The evaluation of the equation 3 .912+s=5.313 yields; s = 1.401

According to the questions;

Hence, we must subtract 3.912 from both sides of the equation as follows;

s = 1.401

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Answer:

68%

Step-by-step explanation:

We observe that the mean of the sample is (61+71)/2 = 66 mph which means the standard deviation of the sample is 5 because 66-5=61 and 66+5=71. The Empirical Rule states that for data observed in a normal distribution, 68% of data will fall within one standard deviation of the mean. Therefore, approximately 68% of vehicles travel between 61 miles per hour and 71 miles per hour.

Answer: x≥5

Explanation:

Let's solve your inequality step-by-step.

5+x≥10

Step 1: Simplify both sides of the inequality.

x+5≥10

Step 2: Subtract 5 from both sides.

x+5−5≥10−5

x≥5

Hope This Helped Have A Nice Day !!

Answer:

a

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

this is because both number are to the left of zero which makes both numbers negative which leaves you with one answer.

The domain of the composite function (fg)’(-3) is equal to 16 and (f/g)’(-3) = 4

A function is composite when the co- domain of the first mapping is the domain of the second mapping

From the table of values for each given function:

f’(-3) = 8 and g’(-3) = 2 so;

(fg)’(-3) = 8 × 2

(fg)’(-3) = 16

(f/g)’(-3) = 8/2

(f/g)’(-3) = 4

Therefore, the domain of the composite function (fg)’(-3) is equal to 16 and (f/g)’(-3) = 4

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Answer:

\(f(-1) = -10\)

\(f(0) =- 8\)

\(f(2) = 4\)

Step-by-step explanation:

Given

\(f(x) = 6x - 4\) --- \(x < 0\)

\(f(x) = 6x - 8<0\) -- \(x \ge 0\)

Solving (a); f(-1)

Here \(x= -1\)

\(-1 < 0\), so:

\(f(x) = 6x - 4\)

\(f(-1) = 6 *-1 -4\)

\(f(-1) = -10\)

Solving (b); f(0)

Here \(x = 0\)

\(0 \ge 0\), so:

\(f(x) = 6x - 8\)

\(f(0) = 6*0 - 8\)

\(f(0) =- 8\)

Solving (c) f(2)

Here \(x = 2\)

\(2 \ge 0\), so:

\(f(x) = 6x - 8\)

\(f(2) = 6*2 - 8\)

\(f(2) = 4\)

Assuming that a fair coin was tossed twice, the probability that exactly one of the tosses is a head and the other toss is a tail is 1/2.

The probability of a certain event happening is the number of ways that event can occur, divided by the total number of possible outcomes. In this case, we are interested in finding the probability that exactly one of the two coin tosses results in a head and the other results in a tail.

There are two possible outcomes that satisfy this condition: HT and TH. Since the coin is fair, each of these outcomes has a probability of 1/4. Therefore, the total probability of getting exactly one head and one tail is:

P(HT or TH) = P(HT) + P(TH) = 1/4 + 1/4 = 1/2

In other words, there is a 50-50 chance of getting exactly one head and one tail when a fair coin is tossed twice.

To see why this is the case, we can think of each toss as an independent event with two possible outcomes (head or tail). There are four possible outcomes when we toss a coin twice, and two of these outcomes satisfy the condition of exactly one head and one tail. Therefore, the probability of getting exactly one head and one tail is 2/4, which simplifies to 1/2.

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Answer:

5 hours or less

Step-by-step explanation:

Little hard to see your screen but I think I understand.

Since he has $21 and a coupon for $9 off, he can spend up to $30.

The rental costs $6 per hour so he could rent the boat for up to 5 hours.  It would cost him $30 but he get $9 off with the coupon.

So your answer would be 5 hours or less

Answer: -8

Step-by-step explanation:

First, you plug -1 in for x

\(f(x)=f(-1)=(-1)^2 -9\)

\(=1-9=-8\)

Nancy is the proud owner of a new car. She paid $1,500 up front and took out a loan for the rest of the amount. The interest rate on the loan is 5%. If the total cost of buying the car (including the interest Nancy owes) is more than $16,213.02, how much money did Nancy borrow?

Complete the steps below to solve the problem.

Part A

Assume that x represents the amount of money Nancy borrowed. Write an expression that represents the amount borrowed (the principal) plus the interest owed on that amount.

amount borrowed + interest= = x+5% of x

= x+5100⁢x

= x+0.05⁢x

= 1.05⁢x

The expression 1.05x represents the sum of the amount Nancy borrowed and the interest she owes on that amount.

B= Write an expression to represent Nancy’s total cost of buying the car.

Total Cost= (amount borrowed + interest) + Initial Payment

= 1.05x+1,500

C= Write an inequality using the expression from part B to represent this scenario.

The problem statemet says the total cost is more than $16,213.02:

Total cost>16,213.02

The inequality 1.05x + 1,500> 16,213.02 represents the scenario.

D= Solve the inequality for the variable x. Use opposite operations on both sides of the inequality until you get x on one side of the inequality by itself.

1.05x + 1,500> 16,213.02

1.05x > 16,213.02 - 1,500 (subtract 1,500 from both sides)

1.05x > 14,713.02

X > 14,713.02/1.05 (divide both sides by 1.05)

X > 14,012.40

E=What does the result from part D tell you about Nancy’s situation?

The inequality X> 14,012.04 means Nancy borrowed more than 14,012.40

F= Think about graphing the inequality you found in part D on a number line. What would it look like?

Choose the correct number:

open circle on 14,012.40 and arrow pointing right

open circle on 14,012.40 and arrow pointing left

closed circle on 14,012.40 and arrow pointing right

closed circle on 14,012.40 and arrow pointing left

Number 1 is correct. The graph of the inequality x > 14,012.40 has an open circle on 14,012.40 and an arrow pointing to the right.

The graph of the inequality x > 14,012.40 that has an open circle on 14,012.40 and an arrow pointing to the right.

If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true.

Part A;

Consider that x represents the amount of money Nancy borrowed.

The amount borrowed + interest= = x+5% of x

= x+5100⁢x

= x+0.05⁢x

= 1.05⁢x

The expression is 1.05x that represents the sum of the amount Nancy borrowed and the interest she owes on that amount.

B; Write an expression to represent Nancy’s total cost of buying the car.

The Total Cost= (amount borrowed + interest) + Initial Payment

= 1.05x+1,500

C; Write an inequality using the expression from part B to represent this scenario.

The problem says the total cost is more than $16,213.02:

Total cost > 16,213.02

The inequality is; 1.05x + 1,500> 16,213.02 that represents the scenario.

D;  Using opposite operations on both sides of the inequality until you get x on one side of the inequality by itself.

1.05x + 1,500> 16,213.02

1.05x > 16,213.02 - 1,500

1.05x > 14,713.02

X > 14,713.02/1.05

X > 14,012.40

E:

The inequality is X> 14,012.04 means Nancy borrowed more than 14,012.40

F; Number 1 is correct. The graph of the inequality x > 14,012.40 that has an open circle on 14,012.40 and an arrow pointing to the right.

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The marginal frequency of students who chose dancing is 37.

The correct answer to the given question is option 3.

The marginal frequency of students who chose dancing can be calculated by adding up the number of students who chose dancing in each row or column. In this case, we need to add up the number of art students who chose dancing (22) and the number of music students who chose dancing (15), which gives us a total of 37. This is the marginal frequency of students who chose dancing.

Based on the survey results, it appears that a slightly higher percentage of art students prefer dancing (41.5%) compared to music students (31.9%). However, both groups of students seem to be fairly evenly split between dancing and playing sports, with a slight preference for playing sports overall.

It's worth noting that cardiovascular activity is important for overall health and well-being, and both dancing and playing sports can provide great opportunities for exercise and physical activity. Additionally, both activities can also be enjoyable and provide a sense of community and social connection, which is important for middle school students who are still developing their social skills and relationships. Ultimately, the choice between dancing and playing sports will depend on individual interests, preferences, and abilities.

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Answer:

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

\(\\\text{Given that,}\\\\(x_1 , y_1) = (5,6) ,~~ (x_2, y_2) = (-5,-4)\\\\\text{Slope},~m = \dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{-4-6}{-5-5} = \dfrac{-10}{-10} = 1\)

Answer:

yes

Step-by-step explanation:

f(x) = 4x/5 + 8/3 can be written as

f(x) = 4/5 x + 8/3

which is in the form

y = mx + b

The form y = mx + b is the slope-intercept form of the equation of a line, so

f(x) = 4x/5 + 8/3 is a linear function.

Answer:

see the explanation and the attached figure

Step-by-step explanation:

Part 1)  Linear

we have

This is the equation of the line in slope intercept form

The slope is positive and equal to m=1

The y-intercept is b=3

As the value of x increases the value of y increases too

As the value of x decreases the value of y decreases too

therefore

The graph in the attached figure

Part 2) Quadratic function

Answer:

Step-by-step explanation:

The function f(x) = \(-2(x+4)^2\) + 1 has a greater maximum.

1. The given function is f(x) = \(-2(x+4)^2\) + 1.

2. To find the maximum of the function, we need to determine the vertex of the parabola.

3. The vertex form of a quadratic function is given by f(x) = \(a(x-h)^2\) + k, where (h, k) represents the vertex.

4. Comparing the given function to the vertex form, we see that a = -2, h = -4, and k = 1.

5. The x-coordinate of the vertex is given by h = -4.

6. To find the y-coordinate of the vertex, substitute the x-coordinate into the function: f(-4) = \(-2(-4+4)^2\) + 1 = \(-2(0)^2\) + 1 = 1.

7. Therefore, the vertex of the function is (-4, 1), which represents the maximum point.

8. Comparing this maximum point to the information provided about the other function g(x) on the coordinate plane, we can conclude that the maximum of f(x) = \(-2(x+4)^2\) + 1 is greater than the maximum of g(x).

9. The given information about g(x) is not sufficient to determine its maximum value or specific equation, so a direct comparison is not possible.

10. Hence, the function f(x) =\(-2(x+4)^2\) + 1 has a greater maximum.

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Answer: The solution is C. 1/7.

Step-by-step explanation: Just plug 1/7 as x. You will find that the statement is true when you plug in 1/7.

Answer:

189

Step-by-step explanation:

6 imes 4.5divide2

13.5

13.5

67.5

54

40.5

Answer:

A and c

Step-by-step explanation:

A because you should always start at 0

C because -3 goes to the left not the right

and i took the test on edgenuity..........

hope this helps

Answer:

A and C

Step-by-step explanation:

Got it right EDGE 2021