Noah and Andre are 15 miles apart on a bike path when they start biking toward each other . Noah rides at a constant speed of 4 miles per hour ,and Andre rides at a constant speed of 2 miles per hour . How long does it take until Noah and Andre meet?

Answer:

10 tickets for $31.50

Step-by-step explanation:

So If we divide 22.75 by 7 it gives you 3 dollars and 25 cents per ticket

If you divide 31.50 by 10 it gives you 3 dollars and 15 cents.

So In conclusion 10 tickets for $31.50 dollars is the better buy

Answer:

10 Tickets Is The Better Deal

Step-by-step explanation:

So What You Do Is You Will Divide 22.75 By 7

You Will Get 3.25! That Means Its 3.25 Each For 7 Tickets

For The Next One You Do The Same Thing

You Want To Divide 31.50 By 10

You Will Get 3.15! That Means Its 3.15 Each For 10 Tickets

So 3.15 Is 10 Cheaper Than 3.25 So Getting 10 Tickets Is A Better Deal

Hope This Help

DOH! My Brain Hurts

240 soldiers were transferred to the other camp. Let's assume the number of soldiers transferred to the other camp is "x." we can solve for the unknown variable representing the number of soldiers transferred.

Initially, the food provision was planned for 800 soldiers for 35 days. This means that the total food supply is equal to 800 soldiers multiplied by 35 days, which gives us a total of 28,000 soldier-days of food.

After some soldiers were transferred, the remaining soldiers had enough food to last for 50 days. So the food supply for the remaining soldiers can be calculated as the product of the number of remaining soldiers and the number of days, which gives us (800 - x) * 50 soldier-days of food.

Since the amount of food remains the same, we can set up the following equation:

\(28,000 = (800 - x) * 50\)

Now, let's solve this equation to find the value of x, representing the number of soldiers transferred to the other camp:

\(28,000 = 50 * 800 - 50x28,000 = 40,000 - 50x50x = 40,000 - 28,00050x = 12,000x = 12,000 / 50x = 240\)

By setting up the equation based on the total food supply for the initial and remaining soldiers, we can solve for the unknown variable representing the number of soldiers transferred. In this case, 240 soldiers were transferred to the other camp.

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Answer:

(8,-43)

(4,-22)

Step-by-step explanation:

In order for the ordered pair to be a solution of the inequality, you must be able to plug in the y-value of the ordered pair and it must be less than or equal to 0.

For example:

(4,-22)

x=4 ; y=-22

Plug y into the inequality

y≤0

-22≤0

Since the statement is true, I know that (4,-22) must be a solution to the inequality.

Another way to solve this problem is by graphing. If an ordered pair is in the shaded region, it is a solution to the inequality. Attached is a graph of both the inequality and ordered pairs plotted.

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Answer:

Step-by-step explanation:

To determine whether each ordered pair is a solution to the inequality y ≤ 0, we need to check if the y-coordinate of each pair is less than or equal to zero.

Let's check each ordered pair:

(8, -43):

The y-coordinate is -43. Since -43 is less than zero, this ordered pair is a solution to the inequality y ≤ 0.

(4, -22):

The y-coordinate is -22. Since -22 is less than zero, this ordered pair is a solution to the inequality y ≤ 0.

(-3, 25):

The y-coordinate is 25. Since 25 is greater than zero, this ordered pair is not a solution to the inequality y ≤ 0.

(-7, 45):

The y-coordinate is 45. Since 45 is greater than zero, this ordered pair is not a solution to the inequality y ≤ 0.

So, the solutions to the inequality y ≤ 0 are:

(8, -43) and (4, -22).

The term that can be added to the list so that the greatest common factor of the three terms  12h3 36h3, 12h6, is 48h5

A group of numbers' greatest common factor (GCF) is the biggest factor that all the numbers have in common. For instance, 12, 20, and 24 all share two characteristics.

The term that  can fit in to the list so the GCF is 12h3 would be 48h5, this is so because 48 is first divisible by 12  without any  fraction, and we can remove upon dividing 3 h's from this term as it contains a total of 5 h's.

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If the value of sin x = 0.2, then the values for sin(π - x) is 0.2.

Given that,

the value of sin x = 0.2

We have to find the value of sin(π - x).

We know the trigonometric rule that,

sin(π - x) = sin (x)

for any value of x.

So here whatever the value of x, the value of  sin(π - x) is sin (x) itself.

So here sin x = 0.2.

So, by the rule,

sin(π - x) = sin (x) = 0.2

Hence the value is 0.2.

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Answer:

if its asking for the tenths place its 3.7

if its asking for the ones place its 4

Step-by-step explanation:

Cindy's age is 40 years and Madison's age is 17 years.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.

Given that Madison and Cindy have a combined age of 65 Cindy is 20 less than four times Madison's age. The age will be calculated by using the information.

C + M = 65

C = 4M - 20

4M - 20 + M = 65

5M = 65 + 20

5M = 85

M = 85 / 5

M = 17 years

Therefore, Cindy's age is 40 years and Madison's age is 17 years.

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While an absolute value may be any number, the output from an absolute value expression is always greater than or equal to zero

The absolute value | x | of a real number x is defined as the non-negative value of x without regard to its sign. For example, the absolute value of 3 is 3, and the absolute value of −3 is also 3. The absolute value of a number may be thought of as its distance from zero along real number line.

The absolute value of any number is seen to be always greater than or equal to zero. Both a number and its opposite are the same distance from zero on the number line. Since they have the same distance from zero, they have the same absolute value.

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Since we do not know the value of u, we cannot find the time taken by the basketball to travel a distance of 8.5 meters. We cannot find the height of the basketball at its highest point.

Given that n(x) = 3 for 8 < x < 8.5.It is impossible to determine whether the shot will be made or not based solely on this information. Winning the playoffs depends on various factors, such as the score, time remaining, and the overall performance of the team.

Therefore, additional information is required to determine the outcome of the playoffs.However, to find the height of the basketball at its highest point, we need to know the equation of the trajectory of the basketball.

Assuming that the basketball follows a parabolic path, we can use the formula:

y = ax² + bx + c,

where y is the height of the basketball, and x is the horizontal distance traveled by the basketball.

To find the values of a, b, and c, we need to know three points on the trajectory of the basketball. Let's assume that the basketball is thrown from a height of 1.5 meters and lands on the floor after traveling a horizontal distance of 8.5 meters.

Therefore, the points on the trajectory of the basketball are:

(0, 1.5), (8.5/2, h), and (8.5, 0),

where h is the height of the basketball at its highest point.Substituting these values in the equation of the trajectory,

we get:

1.5 = a(0)² + b(0) + c...(1)0 = a(8.5)² + b(8.5) + c...(2)h = a(8.5/2)² + b(8.5/2) + c...(3)

Simplifying equations (1) and (2),

we get:

c = 1.5...(4)b = -a(8.5)²/8.5...(5)

Substituting equation (4) in equation (3), we get:

h = a(8.5/2)² + b(8.5/2) + 1.5h = a(8.5/2)² - a(8.5)²/8.5 + 1.5h = -29.375a + 1.5

Substituting the value of a from equation (5) in the above equation,

we get:

h = -29.375(-a(8.5)²/8.5) + 1.5h = 0.5a(8.5)² + 1.5

Therefore, to find the height of the basketball at its highest point, we need to find the value of a. Since we know that the basketball lands on the floor after traveling a horizontal distance of 8.5 meters,

we can use the formula:

x = ut + 0.5at²,

where u is the initial horizontal velocity of the basketball, and t is the time taken by the basketball to travel a distance of 8.5 meters.

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Answer:

Area of the minor segment = 2.505324230749 cm²

Step-by-step explanation:

Area of the minor segment

= Area of the sector ABC - Area of the triangle ABC

……………………………………………………………………………………

• Area of the sector ABC

= Area of the whole circle ÷ 8

= (π×8²) ÷ 8

= 8π

______

•• Area of the triangle ABC

= (1÷2) × CA × CB × sin(45)

= (1÷2) × 8 × 8 × (√2/2)

= 16√2

______

Thus

Area of the minor segment

= 8π - 16√2

= 2.505324230749

Answer:

the value of Jericho's house in 2019 is approximately $698,597.60.

Step-by-step explanation:

To solve this problem, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

where:

A is the final amount (the value of the house in 2019)

P is the initial amount (the value of the house in 2010, which is $450,000)

r is the annual interest rate (which is 5%, or 0.05, in this case)

n is the number of times the interest is compounded per year (which is 1, since the interest is compounded annually)

t is the time period (in years)

Using the formula, we can find the value of Jericho's house in 2019 as follows:

A = P(1 + r/n)^(nt)

= $450,000(1 + 0.05/1)^(1*9)

= $450,000(1.05)^9

= $450,000(1.551328)

= $698,597.60

Therefore, the value of Jericho's house in 2019 is approximately $698,597.60.

Answer:

due

Step-by-step explanation:

answer:

w = (-m+y)/y

Step-by-step explanation:

y-wy = m

-wy = m-y

y = -(m-y)/w

wy= -m + y

w = (-m+y)/y

.

The formula used to calculate the variance of a set of data is Variance = \(s^2\)=1n−1n∑i=1(xi−¯x\()^2\).(Option-A)

To calculate the variance, each data point is subtracted from the mean, squared, and then added together. This gives the sum of the squared deviations from the mean. This sum is then divided by the total number of data points to get the average squared deviation from the mean, which is the variance.

Variance is a measure of the spread or variability of a set of data. It is useful in statistical analysis to understand how much the data points differ from the mean, and to compare different sets of data. Lower variance values indicate that the data is more tightly clustered around the mean, while higher variance values indicate that the data is more spread out.(option-A)

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Step-by-step explanation:

M = y

b

That is the answer

The quadratic function graphed is defined as follows:

y = x² - 10x + 9.

We are given the roots for each function, hence the factor theorem is used to define the functions.

The function is defined as a product of it's linear factors, if x = a is a root, then x - a is a linear factor of the function.

From the graph, the roots are given as follows:

x = 1 and x = 9.

Hence the function as a product of it's linear factors is defined as follows:

y = a(x - 1)(x - 9)

y = a(x² - 10x + 9).

When x = 5, y = -16, hence the leading coefficient a is obtained as follows:

-16 = a(5² - 10(5) + 9)

-16a = -16

a = 1.

Thus the function is:

y = x² - 10x + 9.

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Answer:

There are no options to pick

Answer:

19 L= 19000 mL

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

Each square piece of wood will be 6 inches

Step-by-step explanation:

Answer:Least common multiple ( LCM ) of 6 and 12 is 12. LCM(6,12) = 12. Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

The correlation coefficient is too weak to show anything

The amount remaining after 50 years is approximately 45.5% of the Initial amount, A₀.

The given exponential function represents the amount A(t) (in grams) of cesium-137 remaining after t years:

A(t) = A₀ * (1/2)^(t/30)

We are asked to find the initial amount A₀ and the amount remaining after 50 years.

1. Initial amount:

The initial amount, A₀, is the amount of cesium-137 present at t = 0 years. To find A₀, we substitute t = 0 into the equation:

A(0) = A₀ * (1/2)^(0/30)

A(0) = A₀ * 1

Since anything raised to the power of zero is 1, we have A(0) = A₀ * 1, which simplifies to A(0) = A₀.

Therefore, the initial amount of the sample is A₀.

2. Amount after 50 years:

To find the amount remaining after 50 years, we substitute t = 50 into the equation:

A(50) = A₀ * (1/2)^(50/30)

Now we can calculate the amount using the given formula:

A(50) = A₀ * (1/2)^(5/3)

To round the answer to the nearest gram, we evaluate the expression and round the result to the nearest gram:

A(50) = A₀ * 0.455

A(50) ≈ A₀ * 0.455

Therefore, the amount remaining after 50 years is approximately 45.5% of the initial amount, A₀.

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Answer:

Step-by-step explanation:

So for the fewest days it would be 3 days. The reason for that is because she has 254 pound coins. And she can inly take 5 bags to the bank a day, all of those 5 bags have 100 pound coins in them. If she take 2 days and get 200 pound coins to the bank. Then on the third day she would only have to bring three bags. So your answer for the fewest days possible is three days!

Hope it helps

The given quadratic expression; 5b² -6b -2 is prime because the discriminant is not a perfect square.

According to the task content; it is required to identify if the expression is prime.

On this note, it follows that the discriminant of the expression can be evaluated as follows;

= 36 -(4× 5 × -2)

= 76.

Hence, the expression is prime since 76 is not a perfect square.

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Answer:

try the meeting was a good friend of mine for the first person in my family who has been a great friend for any

\(\implies {\blue {\boxed {\boxed {\purple {\sf { \: x = - 75}}}}}}\)

\(\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}\)

\(x - ( - 25) = - 50\)

➺ \( \: x + 25 = - 50\)

➺ \( \: x = - 50 - 25\)

➺ \( \: x = - 75\)

Therefore, the value of \(x\) is -75.

\(\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}\)

\(x - ( - 25) = - 50\)

➺ \( \: - 75 + 25 = 50\)

➺ \( \: - 50 = - 50\)

➺ L. H. S. = R. H. S.

Hence verified.

\(\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘\)

Answer:

75%

Step-by-step explanation:

We know

A year has 12 months

Oliver worked 9 months out of the year

What percent of the year did he work?

We take

9 divided by 12, time 100 = 75%

So, he works 75% of the year.

The insurance company has 4 doctor visits y=35x is lower rate and Rate 35 $ per doctor visit for more than 4 doctor visits y=100+10x.

A system of equations is a collection of two or more equations with a same set of unknowns.

In solving a system of equations, we try to find values for each of the unknowns that will satisfy every equation in the system.

Aaron is considering two health insurance plans. The Get Well Soon Company charges an annual fee of 100 plus 10 per doctor visit, given y=100+10x

The Mega Coverage Company charges $35 per doctor, with no annual fee, represented by the equation: y=35x.

On solving both the equations

\(\rm 35x=100+10x\\\\35x-10x=100\\\\25x=100\\\\x=\dfrac{100}{25}\\\\x=4\)

For 4 doctor visits charges are same and Rate 35 $ per doctor visit.

For less than 4 doctor visits y=35x is lower rate and Rate 35 $ per doctor visit for more than 4 doctor visits y=100+10x.  

Hence, The insurance company has 4 doctor visits y=35x is lower rate and Rate 35 $ per doctor visit for more than 4 doctor visits y=100+10x.

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The measure of the two remaining angles with the ratio of 6:19 would be = 24° and 76° respectively.

The total angle that makes up a triangle of any type = 180°

The value of one angle as given = 80°

Therefore the remaining total of two angles= 180-80 = 100°

The angle with the ratio of 6= 6/25×100= 600/25 = 24°

The angle with the ratio of 19 = 19/25× 100/1

= 1900/25

= 76°

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Answer:

x=-12

Step-by-step explanation:

I did it in my head.

Answer:

x = -16

Step-by-step explanation:

7x -2(x+1) = 6x+14

7x-2x-2 = 6x+14

5x-2 = 6x+14

6x-5x = -14-2 = -16

x = -16

Answer:

(f + g)(x) = 2x³ + 3x² - 5x - 3 ⇒ B

Step-by-step explanation:

Let us solve the question

∵ f(x) = 2x³ + 3x² -7x + 2

∵ g(x) = 2x - 5

→ (f + g)(x) means add f(x) and g(x)

∴ (f + g)(x) = (2x³ + 3x² - 7x + 2) + (2x - 5)

→ Add the like terms

∵ (f + g)(x) = 2x³ + 3x² + (-7x + 2x) + (2 - 5)

∴ (f + g)(x) = 2x³ + 3x³ + (-5x) + (-3)

→ Remember that (+)(-) = (-)

∵ 2x³ + 3x³ + (-5x) + (-3) = 2x³ + 3x² - 5x - 3

∴ (f + g)(x) = 2x³ + 3x² - 5x - 3