You can earn money standing in front of a store holding a banner in the afternoon for $6.50 an hour and by delivering pizza in the evening for $8 an hour. You have 20 hours available to work. What is the greatest number of hours you can spend holding a banner and still make at least $145? Choose the equation that models this scenario: Let h = # hours working holding a banner 20 - h = # hours delivering pizza

A total of 7 Cyclists traveled more than 45 miles. 4 cyclists traveled 50 miles or more, and 3 cyclists traveled more than 54 1/4 miles.

A line plot is drawn with the cyclists' names plotted on the x-axis and their corresponding distances covered plotted on the y-axis.

The dots are then joined to form a line, revealing the relationship between the cyclist's names and their corresponding distance traveled. The cyclist names and their corresponding distances are given in the table below.

Name Distance (in miles) Gina 40 1/2 Rey 50 Faye 35 3/4 Mark 60 John 45 1/2 James 40 1/2 Albert 40 1/4 William 54 1/4 Nathan 40 Kate 40 1/4 Mary 60 Risa 40 Abi 35 3/4 Joan 50 1/2 1. The number of cyclists is 14. 2. The longest distance covered by a cyclist is 60 miles.

Mary and Mark both covered this distance.3. A total of 7 cyclists traveled less than 50 miles. 4. The most common distance traveled by cyclists is 40 1/2 miles. Gina, James, and Albert covered this distance. 5. 2 more cyclists traveled 45 miles than 55 1/4 miles. Only William traveled 55 1/4 miles, while John and James both traveled 45 1/2 miles.6.

A total of 7 cyclists traveled more than 45 miles. 4 cyclists traveled 50 miles or more, and 3 cyclists traveled more than 54 1/4 miles.

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Answer:

The answer is A

Step-by-step explanation:

There are two solutions.

Slope = 17

y - intercept = (0,1)

The two solutions is

(0,1) and (1,18)

So he is right

Answer:

Step-by-step explanation:

a

C. H2 1,96

To establish whether there is a significant difference between treatments using the Kruskal-Wallis test, the calculated value of H should be compared to the critical values ​​in the table of H values. The critical value of H to use depends on the significance level chosen for the test (0.05 in this case).

Using a significance level of 0.05, the critical value of H for a sample size of n-8 for each treatment is approximately H2 1.96. That is, if the calculated H value is greater than 1.96, we can conclude that there is a significant difference between the treatments.

Hence, the correct answer in this case is c. H2 1,96

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Answer:

\(x\geq -30\)

Step-by-step explanation:

Work to isolate x on one side of the inequality:

\(3-\frac{x}{2} \leq 18\\3-18\leq \frac{x}{2} \\-15\leq \frac{x}{2}\\-30 \leq x\)

Therefore the answer is all x values larger than or equal to -30

\(x\geq -30\)

The length of the zip wire, with a 10-degree angle to the horizontal and a distance of 25 meters between the posts, is approximately 25.35 meters.

To calculate the length of the zip wire, we can use trigonometry. Let's consider the triangle formed by the zip wire, where the horizontal distance between the two posts is 25 meters and the angle between the zip wire and the horizontal is 10 degrees.

Using trigonometric functions, we can determine the length of the zip wire. In this case, we'll use the sine function because we have the opposite side (the vertical distance) and we want to find the hypotenuse (the length of the zip wire).

The formula for sine is:

sin(angle) = opposite / hypotenuse

Rearranging the formula, we have:

hypotenuse = opposite / sin(angle)

In this case, the opposite side is the vertical distance, which is h.

So, the formula becomes:

hypotenuse = h / sin(angle)

To find h, we can use the formula for the length of the zip wire:

h = 25 * tan(angle)

Substituting this into the previous formula, we get:

hypotenuse = (25 * tan(angle)) / sin(angle)

Calculating the value, we have:

hypotenuse = (25 * tan(10°)) / sin(10°)

Using a calculator, we find:

tan(10°) ≈ 0.1763

sin(10°) ≈ 0.1736

Substituting these values, we can calculate the length of the zip wire:

hypotenuse ≈ (25 * 0.1763) / 0.1736 ≈ 25.35 meters

Therefore, the length of the zip wire is approximately 25.35 meters.

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Answer:

−12r+32−2r 2

Step-by-step explanation:

(−8−r)(2r−4)

Apply the distributive property by multiplying each term of −8−r by each term of 2r−4.

−16r+32−2r

2

+4r

Combine −16r and 4r to get −12r.

Answer:

R-12

Step-by-step explanation:

Open the parenthesis, then solve

-8-r + 2r-4

-r+2r-8-4

r-12

Your answer will be R-12

The cheapest price Sam would pay for 10kg of cake for the party is $5000 from Mega Mart.

To find the cheapest price Sam would pay for 10kg of cake for the party, we need to compare the prices of the available cakes and determine the most cost-effective option.

At Mega Mart, a 5kg cake costs $2500.

Therefore, the price per kilogram for this cake is:

Price per kilogram at Mega Mart = $2500 / 5kg = $500/kg.

At the same time, a 2kg chocolate cake costs $1200.

So, the price per kilogram for this cake is:

Price per kilogram for the chocolate cake = $1200 / 2kg = $600/kg.

Now, let's calculate the total price for 10kg of cake from each option:

Total price at Mega Mart for 10kg = $500/kg \(\times\) 10kg = $5000.

Total price for 10kg of chocolate cake = $600/kg \(\times\) 10kg = $6000.

Comparing the two options, we see that the Mega Mart cake is the more cost-effective choice.

Sam would pay a total of $5000 for 10kg of cake from Mega Mart, whereas the chocolate cake would cost $6000 for the same quantity.

Therefore, the cheapest price Sam would pay for 10kg of cake for the party is $5000 from Mega Mart.

In summary, Sam would pay the cheapest price of $5000 to purchase 10kg of cake for the party from Mega Mart.

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Answer:

Step-by-step explanation:

Letter B is the correct answer

Initial population is 200, tripled every hour

200 x 3 = 600

First hour 200

Second hour = 600 + 200 = 800

Third hour 800x3 = 2400 + 800 = 3200

and so on.

From the two column proof below, we have seen ∠BAC ≅ ∠DAC by CPCTC

The two column proof to show that ∠BAC ≅ ∠DAC is as follows:

Statement 1: ΔABD is Isosceles with base BD, AC ⊥ BD

Reason 1: Given

Statement 2: AB ≅ AD

Reason 2:  Definition of isosceles Triangles

Statement 3: ∠1 and ∠2 are right angles

Reason 3: Definition of perpendicular

Statement 4: AC ≅ AC

Reason 4: Reflexive Property

Statement 5: ΔABC and ΔADC are right triangles

Reason 5: Definition of right triangle

Statement 6: ΔABC ≅ ΔADC

Reason 6: HL Congruency

Statement 7: ∠BAC ≅ ∠DAC

Reason 7: CPCTC

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The perimeter of the given shape as represented in the task content is; 29 cm.

It follows from the task content that the perimeter of the given shape on the centimeter grid as required is to be determined.

Since each grid line has 1cm as it's length;

The perimeter of the shape is the sum of all side lengths of the shape;

Perimeter, P = 6+2+3+2+2+1+3+2+2+2+2+1

P = 29 cm

Hence, the perimeter of the shape is; 29 cm.

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Answer:

b. 5 meters

Step-by-step explanation:

1 meter = 1000 millimeters

5 meter = 5000 millimeters

Which is longer 5 meters or 400 millimeters?

5000 > 400

So, the answer is b. 5 meters.

Answer:

15504 ways

Step-by-step explanation:

\(C(n,r)=\frac{n!}{r!(n-r)!} \\\\C(20,5)=\frac{20!}{5!(15)!} \\\\C=15504\)

Answer:

its actually c

Step-by-step explanation:

6*10=60+40=100

100\(\geq\)100

Answer:

C

Step-by-step explanation:

In order to graph we must first simplify the inequality

40 + 10x ≥ 100

step 1 subtract 40 from each side

40 - 40 cancels out

100 - 40 = 60

we now have 10x ≥ 60

step 2 divide each side by 10

10x/10 = x

60 / 10  = 6

we're left with x ≥ 6

Now to graph

We will start with a closed circled on 6 and because the inequality sign is facing the varibale (x) the line will go in the direction of the right

Thus, the answer is C

1285.37

You can use the formula for compound interest:  

P(1+R)^t

P = the principle, the amount of money

(1+R) = the rate, (%) as a decimal plus 1

^t = to the power of the number of years

Substitute the values:

750(1+0.08)^7

750(1.08)^7

1285.37

Step-by-step explanation:

The ordered pairs (0, 3), (1, 48), and (1/2, 12) lie on the graph of the exponential function \(f(x) = 3(4)^{2x}\).

What is an exponential function?

The formula for an exponential function is \(f(x) = a^x\), where x is a variable and a is a constant that serves as the function's base and must be bigger than 0.

To check whether an ordered pair lies on the graph of the exponential function \(f(x) = 3(4)^{2x}\), we need to substitute the x- and y-values of the ordered pair into the function and see if the equation holds true.

Let's check each ordered pair one by one -

(0, 3)

\(f(0) = 3(4)^{(2\times0)}\)

= 3(1)

= 3

So, the ordered pair (0, 3) lies on the graph of the exponential function.

(1, 48)

\(f(1) = 3(4)^{(2\times1)}\)

= 3(16)

= 48

So, the ordered pair (1, 48) lies on the graph of the exponential function.

(1/2, 12)

\(f(\frac{1}{2})=3(4)^{(2\times\frac{1}{2})}\)

= 3(4)

= 12

So, the ordered pair (1/2, 12) lies on the graph of the exponential function.

(.25, 8)

\(f(0.25) = 3(4)^{(2\times0.25)}\)

\(=3(4)^{0.5}\)

= 3 × 2

= 6

So, the ordered pair (.25, 8) does not lie on the graph of the exponential function.

Therefore, the ordered pairs are (0, 3), (1, 48), and (1/2, 12).

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Answer: 2.

Step-by-step explanation: Both lines intersect each other 2 times.

Answer:

2 solutions

Step-by-step explanation:

The solution to a system of equations is the point where two lines intersect.

Given the information above, we can see the lines intersect at two different points, making the answer 2 solutions.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

Answer:

$36

Step-by-step explanation:

$48 × (100 - 25)% = $36

Answer:

Step-by-step explanation:

Answer:

ABCD is a cyclic quadrilateral in the circle.which sum of two opposite angle is 180

Answer:

the answer is 625

Step-by-step explanation:

Jamie 284

Jaylon 284 and he had 57 more =341

284 + 341 = 625

Answer:

Slope is -3

The x intercept is (0,-1)

The intercept is (- 1/3, 0)

Answer:

y-intercept is -1 so the coordinate would be (0,-1)

Slope is -3  or you can use \(\frac{-3}{1}\) as the rise/run which is slope  meaning you go down 3 since it is negative and over one to get the next point.

So your graph should look like this

Answer: The scaffolding to storage framework was proposed to account for the movement from _unconscious_______ to __conscious______.

conscious ; unconscious

Step-by-step explanation:

Hope this helps

Answer:

2(n+18)

18(2+n)

2•(18•n)

I hope this helps

The projected revenue for the year ended December 31, Year 2 is $3,673.4 million.

How to find Revenue?

The amount of gross income generated by sales of goods or services is referred to as revenue (or sales revenue) in various contexts. Revenue can be calculated simply by multiplying the quantity of sales by the average service price or sales price:

Revenue = Sales x Average Price of Service or Sales Price

To find the projected revenue for the year ended December 31, Year 2, we can use the following formula:

Projected revenue = Current revenue * (1 + Expected revenue growth)

In this case, the current revenue is equal to the NOA, which is $3,532.1 million. The expected revenue growth is 5%, so the projected revenue is:

$3,532.1 million * (1 + 0.05) = $3,673.4 million

Therefore, The projected revenue for the year ended December 31, Year 2 is $3,673.4 million.

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[~S & (R V S)] ≡ (Q ⊃ S) is true when A = T, S = F, R = F, and Q = T by substituting the propositional variables.

A truth table is a table used to determine the truth values of a compound proposition, which is a logical statement made up of simpler propositions using logical operators such as "and" (represented by "&"), "or" (represented by "V"), "not" (represented by "~"), conditional (represented by "⊃"), and biconditional (represented by "≡").

Let's substitute the given truth values for the propositional variables in the given statement:

[~F & (F V F)] ≡ (T ⊃ F)

Using the truth table for conjunction (represented by "&") and disjunction (represented by "V"), we can simplify the left-hand side of the equivalence:

[T & F] ≡ (T ⊃ F)

Using the truth table for conditional (represented by "⊃"), we can simplify the right-hand side of the equivalence:

F ≡ F

Since both sides of the equivalence have the same truth value, the statement is true.

Therefore, [~S & (R V S)] ≡ (Q ⊃ S) is true when A = T, S = F, R = F, and Q = T.

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Answer:

Step-by-step explanation:

This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts.

Answer: C

Step-by-step explanation: just did it

The value of the angle tan0 will be 8 / 15. The correct option is C.

Trigonometric Identities are equality statements that hold true for all values of the variables in the equation and that use trigonometry functions. There are numerous distinctive trigonometric identities that relate to a triangle's side length and angle.

Given that sin 0=-8/17 and cos 0=15/17. The value of tan0 will be calculated as,

tan0 = sin0 / cos0

tan0 = ( 8 / 17 ) ÷ ( 15 / 17)

tan0 = 8 / 15

Hence, the value of tan0 will be 8 / 15.

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Answer:

no solutions

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 )

equation of blue line is y = x + 2 , in slope- intercept form

with slope m = 1

equation of red line is y = x - 3 , in slope- intercept form

with slope m = 1

• Parallel lines have equal slopes

then the blue and red lines are parallel.

the solution to the system is at the point of intersection of the 2 lines

since the lines are parallel then they do not intersect each other.

thus the system shown has no solution.

Answers:

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Explanation: