Find another way to solve this question.
Along a number line (0 -100) Fred and Frida race to see who makes it to 100 first. Fred jumps two numbers each time and Frida jumps four at a time. Investigate the starting point for Fred so that he is guaranteed to win?
I know you can solve it graphically by drawing two number lines and then counting how many jumps both Fred and Frida have.
And I know you can make a linear equation:
Eg. Fred= 2j + K
Frida= 4j
Then solve
(j meaning amount of jumps and K being starting position.)
Are there any other ways to solve it? If so explain the process and state the assumptions you made.

The given equation is solved to x as x=(58-b)/a.

The given equation is ax+b=58.

We need to solve the given equation for x.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Now, the equation ax+b=58 can be solved as follows:

Given equation:

ax+b=58

Now,

ax= 58-b

x=(58-b)/a

That is, x=(58-b)/a (when you bring a variable from LHS to RHS or vice versa the mathematical operations become inverse that is multiplication changes to division)

Therefore, the given equation is solved to x as x=(58-b)/a.

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Answer:

She will use 5/6 pound for the entire garden

Step-by-step explanation:

Here, we want to know the total number of pounds that will be used for the full garden.

Firstly, she used 1/2 or 0.5 pound for 3/5 of the garden, let the total amount of pound she will use for the full garden be x.

0.5 pound = 3/5 garden

x pound = 1 garden

x * 3/5 = 0.5 * 1

x * 3/5 = 0.5

3x/5 = 0.5

3x = 5 * 0.5

3x = 2.5

x = 2.5/3 or 5/6 pound

Answer:

3(4+5)=3(4)+3(5)

Hope it helps

Step-by-step explanation:

The distance that a person travels when the Ferris wheel rotates through an angle of 4.25 radians is 161.5 feet.

Given,The distance from the center of a Ferris wheel to a person who is riding is 38 feet.To find the distance that a person travels when the Ferris wheel rotates through an angle of 4.25 radians. Formula used:When an object travels on the circular path with the radius 'r' then the distance it travels is given by `s=rθ`.Where `s` is the distance, `r` is the radius and `θ` is the angle traveled by the object.So, the distance that a person travels when the Ferris wheel rotates through an angle of 4.25 radians is given by s= 38 x 4.25=161.5 feet.Hence, the distance that a person travels when the Ferris wheel rotates through an angle of 4.25 radians is 161.5 feet.

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Answer:

12 pages

Step-by-step explanation:

first, divide 12 and 3 which equals 4.

Take that 4 and do this:

48/4

then you get 12 pages.

Answer: 6 pages

Step-by-step explanation:

48 divided by 12 is 2 so your doubling the answer you have now so it turns into 3 multiplied by two is 6

Answer:

No

Step-by-step explanation:

2 to the power of 3 is: 2×2×2=8

3 to the power of 2 is: 3×3=9

Answer:

no these don't have the same powers

Step-by-step explanation:

2the power 3 =8 and 3the power 2 is 9..hope it's help ful

We need approximately 10 deposits to reach a balance of $31,300 four years after the last deposit which is compounded semi-annually.

To solve this problem, we can use the formula for the future value of an annuity:

\(FV = P * ((1 + r)^n - 1) / r\)

Where:

FV is the future value of the annuity

P is the periodic payment or deposit amount

r is the interest rate per period

n is the number of periods

In this case, the deposit amount is $726.56, the interest rate is 6.45% compounded semi-annually, and the future value is $31,300. We need to find the number of deposits (n).

We can rearrange the formula and solve for n:

n = log((FV * r) / (P * r + FV)) / log(1 + r)

Substituting the given values:

n = log((31,300 * 0.03225) / (726.56 * 0.03225 + 31,300)) / log(1 + 0.03225)

Using a calculator or software, we find that n ≈ 9.989.

Therefore, we need approximately 10 deposits to reach a balance of $31,300 four years after the last deposit.

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✪According to question:-

Ben is 6 years older than Ishaan

So :-

put supposed values

Original Ages :-

✪Verification :

1st condition:-

put original ages

LHS=RHS

Hence verified !

Ben's age = 8 years

Answer:

you bad

Step-by-step explanation:

ferfrfvrgb rg bg bb

Answer:

Step-by-step explanation:

they had at least 989 people at the amusement park

FALSE. The lift curve slope for a finite-span wing is actually less than that of an infinite wing.

The lift curve slope is a measure of how much lift is produced as the angle of attack increases. An infinite wing is one that extends infinitely in the span-wise direction, while a finite-span wing has a finite length. When comparing the lift curve slope of the two, it is found that the lift curve slope of a finite-span wing is lower than that of an infinite wing.

This is due to the phenomenon known as wingtip vortices, which are created at the tips of a finite-span wing due to the pressure differences between the upper and lower surfaces of the wing. These vortices create a downwash behind the wing, reducing the effective angle of attack and therefore reducing the lift produced. In contrast, an infinite wing does not have wingtip vortices and therefore experiences a higher lift curve slope.

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The orange one is an example of alternate interior angles.

Answer:

a numerical or constant quantity placed before and multiplying the variable in an algebraic expression (e.g. 4 in 4x).

Step-by-step explanation:

Q: What is the coefficient in 6x^2

A: 6

Note: It is USUALLY a number

The percent discount on the new phone is 15%.

Discount refers to a reduction in the original price of a product or service. It is a way for businesses to incentivize customers to purchase their products by offering a lower price than the original price.

To find the percent discount, we need to divide the amount of the discount by the original price, and then multiply by 100 to express the answer as a percentage.

Discount = Original Price - Sale Price

Discount = $46 - $39.10

Discount = $6.90

Percent Discount = (Discount / Original Price) x 100

Percent Discount = ($6.90 / $46) x 100

Percent Discount = 15%

Therefore, the percent discount is 15%.

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Using the graph given:

1. 1. Initial height of plane A: 4 miles.

2. Plane B was 1 mile.

3. The time both planes fly at exactly the same height is: 20 seconds.

A graph illustrates the relationship between two variables, one plotted on the x-axis upon which the one plotted on the y-axis depends on.

Like in the graph shown above, the time in seconds is plotted on the x-axis as against the height in miles on the y-axis.

Each point on the graph, (x, y) shows the height (y) of the plane after some seconds (x).

Therefore:

1. The initial height of plane A is at 4 miles.

2. After 40 secs, the height of plane B was 1 mile.

3. The point where the two lines intersect shows when the time and height of both planes are the same. Therefore, at 20 seconds, both planes were flying at the same height of 3 miles.

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Hey there mate ;),

Answer attached as picture. Check it.

Answered by Benjemin

The solution to the given subtraction of mixed fractions is; 1⁵/₈

We want to subtract 1³/₄ from 3³/₈.

The first step is to convert both from mixed fractions to improper fraction to get;

1³/₄ = ⁷/₄

Similarly;

3³/₈ = ²⁷/₈

Thus, we now have;

²⁷/₈ - ⁷/₄

Let's factorize out ¹/₈ and so we have;

¹/₈(27 - 14)

⇒ ¹/₈ × 13

⇒ 13/8 = 1⁵/₈

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Answer:

  circumcenter

Step-by-step explanation:

You want to know the name of the point equidistant from the vertices of a triangle.

The circle that passes through the vertices of a triangle is called a "circumcircle". It circumscribes the triangle. Its center is equidistant from all points on the circle, so is equidistant from the triangle's vertices.

The point equidistant from the vertices of a triangle is the circumcenter.

__

Additional comment

The circumcenter is at the intersection of the perpendicular bisectors of the sides of the triangle.

The probability that there is at least one person who wins no games in the given scenario is 28/81.

To find the probability that there is at least one person who wins no games in a game of three players repeated four times, we can break it down into different cases.

Case 1: One player wins all four games.

In this case, there are three ways to choose the player who wins all four games. For each chosen player, there is only one possible outcome. So, the probability of this case happening is (3 players to choose from) * (1 outcome) = 3.

Case 2: Two players each win two games.

In this case, we need to choose two players out of the three who will win two games each. There are three ways to choose the two players. For each chosen pair of players, there are (2^4)/2 = 8 possible outcomes. This is because each pair can win their games in different orders, and the other player loses all four games. So, the probability of this case happening is (3 players to choose from) * (8 outcomes) = 24.

Case 3: Each player wins one game.

In this case, all three players win one game each. There is only one possible outcome for this case. So, the probability of this case happening is (1 outcome).

Now, we can calculate the probability of at least one person winning no games by adding up the probabilities of each case and dividing it by the total number of possible outcomes.

Total number of possible outcomes = 3^4 (each player can win or lose each game)

Probability of at least one person winning no games = (Probability of case 1 + Probability of case 2 + Probability of case 3) / Total number of possible outcomes
                                                = (3 + 24 + 1) / 81
                                                = 28 / 81

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Answer:

Step-by-step explanation:

So, lets do the first one.

Slope = 0 and y-intercept is (0, -1)

The y intercept is the second number in the pair because it's the y value

we can switch this to,

y = mx + b

so,

y = 0x - 1

for the first one.

The second one has a slope of -1 and a y intercept of (0,4)

like I said the y intercept is the second number in the coordinate pair,

so,

y = -1x +4

Hope this helps!

Answer:

4.) \(y=-1\)

5.) \(y=-1x+4\)

Step-by-step explanation:

Use the slope-intercept form for each:

\(y=mx+b\\\\m=slope\\\\b=y-intercept\\\\(x,y)\)

The y-intercept happens when x is equal to zero, so when you have the point (0,y), plug in the y-value as the y-intercept.

4.) Insert the appropriate values in the equation:

\(y=0x-1\)

Simplify. Any number multiplied by 0 is 0, so:

\(y=0+-1\\\\y=-1\)

5.) Insert the appropriate values:

\(y=-1x+4\)

This cannot be simplified further.

:Done

The range of values for the correlation coefficient is - 1 to 1, inclusive is the correct answer.

Value is an important concept in economics, philosophy, and psychology. In economics, value is the amount of utility or satisfaction that an individual derives from a good or service. In philosophy, value is the worth or usefulness of something, based on its purpose. In psychology, value is the perceived importance of something that influences an individual's behavior. Value can also be seen as a measure of the worth of an object or action. Value is subjective and can differ from one person to another, depending on their beliefs and experiences. Value is also a key factor in decision-making and can help individuals make informed choices.

The range of values for the correlation coefficient is -1 to 1, inclusive. This means that the correlation coefficient can range from a perfect negative correlation (-1) to a perfect positive correlation (1).

Values in between those two extremes indicate a weaker correlation.

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Answer:

132.35

Step-by-step explanation:

-16-(-8)*(-20)/(-11)*(-8)

= -16--8*(-20)/(-11)*(-8)

= -16+8*(-20)/(-11)*(-8)

= -16+8*-20/(-11)*(-8)

= -16+8*-20/-11*(-8)

= -16+8*-20/-11*-8

= -16+-160/-11*-8

= -16-160/-11*-8

= -16--14.545454545455*-8

= -16+14.545454545455*-8

= -16+-116.36363636364

= -16-116.36363636364

132.36363636364 (Round)= 132.35

Answer:

0 = -3x -10y -80

Step-by-step explanation:

Standard form means all numbers are whole numbers, so to get -3/10 to be whole, simply have everything on one side and multiply each term by 10:

y = -3/10x - 8

0 = -3/10x - y - 8

0 = -3x -10y -80

The answer of EG is 30. We can find it by Triangle Proportionality Theorem and Angle Bisector Theorem.

According to Triangle Proportionality Theorem, A triangle's other two sides are proportionately divided by a line that runs parallel to one of its sides.

So here, \(\frac{DN}{NG} = \frac{DM}{ME}\) (Triangle Proportionality Theorem)

⇒ \(\frac{30}{24} = \frac{y}{12}\)

⇒ 24 * y = 30 * 12

⇒ y = 15

So, we get \(DE = y + 12 = 15 + 12 = 27\)

The angle bisector theorem states that a triangle's opposing side is divided into two halves by an angle bisector that is proportionate to the triangle's other two sides. 

Now, we can find EG by Angle Bisector Theorem,

⇒ \(\frac{DG}{FG} = \frac{DE}{FE}\)

⇒ \(\frac{54}{x+10} = \frac{27}{x}\)

⇒ \(54x= 27 x + 270\)

⇒ \(54x-27x = 270\)

⇒ \(27x = 270\)

⇒ \(x = 10.\)

So, \(EG = x + x + 10 = 2x + 10 = 20 + 10 = 30\).

So, finally we get EG = 30.

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The events are mutually exclusive and the probability of drawing a card from a standard deck and choosing a 7 or a 9 is 2/13

The given parameters are:

Standard deck = 52

n(7) = n(9) = 4

The probability of choosing a 7 or a 9 is calculated as:

P(7 or 9) = P(7) + P(9)

So, we have:

P(7 or 9) = 4/52 + 4/52

Evaluate

P(7 or 9) = 8/52

Simplify

P(7 or 9) = 2/13

Hence, the probability of drawing a card from a standard deck and choosing a 7 or a 9 is 2/13

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In order to get standard deviation of 15. Subtract 68 from everybody's score, then divide these values by 15.

The square root of the variance is used to determine the standard deviation. An alternative method of calculating it is to identify the mean of a data set, compare each data point to the mean, square the differences, add them all together, divide by the number of points in the data set minus 1, and then compute the square root.

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Mr. Olsen uses an unusual grading system in his class. After each test, he transforms the scores to have a mean of 0 and a standard deviation of 1. Mr. Olsen then assigns a grade to each student based on the transformed score. On his most recent test, the class's scores had a mean of 68 and a standard deviation of 15. What transformations should he apply to each test score? Explain.

Answer:

Exact weight of quarters now in circulation in the United States  (continuous random variable )

Shoe sizes of humans (discrete random variable)

Political party affiliations of adults in the United States ( random variable)

Step-by-step explanation:

continuous random variable: this is a random experiment where the data usually assume an infinite mode. meaning it is continuous.

discrete random variable: this is the assigning of values based on the outcome of a radom experiment.

random variable: a random variable is a set of possible outcomes from a random experiment

The area of a cookie with radius of 10cm is given as follows:

A = 314 cm².

The area of a circle of radius r is given by the multiplication of π and the radius squared, as follows:

A = πr².

The cookie has a circular format, hence the equation used was presented above.

The radius is given as follows:

r = 10 cm.

Hence the area is given as follows:

A = 3.14 x 10²

A = 314 cm².

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The area of a cookie with radius of 10cm is given as follows:

A = 314 cm².

The area of a circle of radius r is given by the multiplication of π and the radius squared, as follows:

A = πr².

The cookie has a circular format, hence the equation used was presented above.

The radius is given as follows:

r = 10 cm.

Hence the area is given as follows:

A = 3.14 x 10²

A = 314 cm².

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Answer:

414

Step-by-step explanation:

substitute the given value 21 for x. so y=750-16(21)

y=750-336

y=414

Answer:

To solve this problem, we need to use the fact that the sum of the angles in a triangle is 180 degrees. Since the lines a and b intersect at point D, we can form two triangles: ADB and CDB. We can label the angles as shown in the figure below.

A

/ \

/   \

/     \

/       \

/         \

/           \

B-----------D-----------C

(5z + 8)°   (4z + 20)°

In triangle ADB, we have:

(5z + 8) + (4z + 20) + z = 180

Simplifying and solving for z, we get:

10z + 28 = 180

10z = 152

z = 15.2

Therefore, the value of z is 15.2 degrees.

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