if m∠A = m∠B and m∠B = 42 them m∠A + 10 = 52

Answer:

72 green beads for 9 keychains, 104 for 13 keychains.

Step-by-step explanation:

since he uses 8 beads for every chain, multiply 8 by the number of chains made

please thank

Answer:

a) 72   b) 104

Step-by-step explanation:

To figure out how many beads you need to make the key chains you simply need to multiply the number of the beads used by the number of the key chains that are being made

Johnny uses 8 beads for each key chain.

So:

a) 9 key chains = 8 x 9

The answer is 72

b) 13 key chains = 8 x 13

The answer is 104

Answer:

Step-by-step explanation:

-4.32193257293

Answer:

ratios

Step-by-step explanation:

Hello~

4+1=5

5+2=12

6+3=21

8+11 =

The First one is correct!

Ary~

The distance between the points (-10, -10) and (-1, 2) is 15 units.

To calculate the distance between two points in a two-dimensional Cartesian coordinate system, we can use the distance formula. The distance formula is derived from the Pythagorean theorem and calculates the length of the hypotenuse of a right triangle formed by the two points and the origin.

Let's consider the two given points: Point A (-10, -10) and Point B (-1, 2).

The distance formula is as follows:

d = \(√((x2 - x1)^2 + (y2 - y1)^2)\)

Using the given points, we substitute the values into the formula:

d = \(√((-1 - (-10))^2 + (2 - (-10))^2)\)

= \(√((9)^2 + (12)^2)\)

= \(√(81 + 144)\)

= √225

= 15

We can visualize this by plotting the two points on a Cartesian plane. Point A (-10, -10) would be located in the third quadrant, and Point B (-1, 2) would be located in the second quadrant. The distance between these two points is the length of the straight line connecting them, which is 15 units.

It's important to note that the distance is always a positive value, as it represents the length between two points and does not have a direction associated with it.

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To solve a quadratic equation means to determine the values of x that are solution to such equation.

In the case of a quadratic equation you have two solutions for x.

Other two words for a solution of a quadratic equation, are roots and zeros of the equation.

If the order quantity is 80 bags,The GCH order is "Twice a month".The correct answer is option C.The holding cost includes both storage cost and cost of capital is $12.00.The correct answer is option A.

Raya's Coffee House (RCH) has an annual demand of 480 bags of coffee beans, and they purchase them from a local provider at $20 per bag. They have a fixed cost of $100 for every order placed, and the holding cost, which includes both storage cost and cost of capital, is $1 per bag per month. The cost of capital is approximately 1 percent per month.

To determine how often RCH needs to order, we need to calculate the economic order quantity (EOQ). The EOQ formula is given by:

EOQ = sqrt((2 * D * S) / H),

where D is the annual demand, S is the fixed cost per order, and H is the holding cost per unit. Plugging in the given values, we have:

EOQ = sqrt((2 * 480 * 100) / (1 * 1)) = sqrt(96,000) ≈ 310 bags.

Since the order quantity is 80 bags, which is lower than the calculated EOQ, RCH needs to order more frequently to meet the demand. The closest option to the calculated EOQ is "Twice a month," so the answer is (c).

Now, let's calculate the annual holding cost per bag of coffee beans for RCH. The holding cost per bag per month is $1, which means the annual holding cost per bag is:

Annual Holding Cost = Holding Cost per bag per month * 12 months = $1 * 12 = $12.

Therefore, the correct answer is (a) $12.00.

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The record time in 2000 is, 3.71 minutes

We have,

In 1960 the world record for the men's mile was 3.91 minutes. In 1980, the record time was 3.81 minutes.

Here, A line passes through the points (0,3.91) and (20,3.81).

Hence, the slope of the line is,

m = (3.81 - 3.91) / (20 - 0)

m = - 0.1/20
m = - 0.005

Thus, the equation of a line is,

y - 3.91 = - 0.005 (x - 0)

y - 3.91 = - 0.005x

y = - 0.005x + 3.91

So, the record time in 2000 is,

Put x = 40;

y = - 0.005 × 40 + 3.91

y = - 0.2 + 3.91

y = 3.71 minutes

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Answer: its (4f 5) ^3

Step-by-step explanation:

A square-based box with an open top and volume of 4,000 cm³ has minimum surface area when its dimensions are 10√2 cm by 10√2 cm by 20√2 cm.

Let's assume that the box has a square base with side length x and height h. Then, its volume is given by:

V = x^2 * h

We are given that the volume is 4,000 cm³, so we can write:

x^2 * h = 4,000

Solving for h, we get:

h = 4000 / x^2

The amount of material used to construct the box is the sum of the areas of its five faces (four sides and the base). Since the box has an open top, we don't need to consider its area. The area of the base is x^2, and the area of each side is x times the height h. Thus, the total surface area A of the box is given by:

A = x^2 + 4xh

Substituting the expression we found for h, we get:

A = x^2 + 4x(4000 / x^2)

Simplifying and factoring out 4, we get:

A = 4(x^2 + 1000/x)

To find the dimensions of the box that minimize the amount of material used, we need to find the value of x that minimizes A. We can do this by taking the derivative of A with respect to x and setting it equal to zero:

dA/dx = 8x - 4000/x^2 = 0

Solving for x, we get:

x = 10√2

Substituting this value back into the expression we found for h, we get:

h = 20√2

Therefore, the dimensions of the box (in cm) that minimize the amount of material used are:

side length of the base: 10√2 cm

height: 20√2 cm

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Answer:

x can be any natural number.

Step-by-step explanation:

If we try 0 for x, here's what happens:

2(0)4

0 (4) = 0

0 > 4 is not true

Once x is greater than 0, a natural number, it satisfies the conditions and therefore, can be substituted for x.

Answer: $240

Step-by-step explanation:

Given

Ahmad earns 6 days daily from 9 am to 5 Pm at a rate of $30 per hour

The total no of hours he worked on a single day is 8 hours

So, the amount he earns on daily basis is

\(\Rightarrow 8\times 30\\\Rightarrow \$240\)

Solution

We have the following:

5 pieces of chocolate

6 pieces of licorine

3 pieces of gum

Total = 5+6+3= 14 pieces

Part A

We can do this:

Part B

For this case we can do this:

Answer:

-6

Step-by-step explanation:

I'm not really sure whether or not your question is asking for the slope intercept form or just the slope.

Your answer would be: y = -6x + 7   [if your question is asking for the slope intercept form]

OR

Your answer would be: -6   [if your question is asking for just the slope]

Answer:

1/2

Step-by-step explanation:

Answer:

\(\frac{9x - 4}{x^2 - 4}\)

Step-by-step explanation:

Did the iReady math diagnostic.

Answer:

9 sorry if im wrong

If \(\sqrt a - \sqrt b = 3\), then \(\left(\sqrt a - \sqrt b\right)^2 = 3^2 = \boxed9\).

Answer:

try 12

Step-by-step explanation:

I'm sorry if its wrong

The probability that Sam's first upgrade will occur after the third flight = 0.729

Let m represents the number of flights Sam must take in order to receive his first upgrade.

To find the probability that Sam's first upgrade will occur after the third flight.

i.e., to find P(m ≥ 4)

Here,  0.10 probability that a coach-class ticket holder who flies frequently will be upgraded to first class on any flight.

p = 0.10

q = 1 - p

q = 0.90

P(m ≥ 4) = 1 - P(m ≤ 3)

P(m ≥ 4) = 1 - [P(m = 1) + P(m = 2) + P(m = 3)]

P(m ≥ 4) = 1 - [0.1 + (0.9 × 0.1) + (0.9² × 0.1)]

P(m ≥ 4) = 1 - (0.1 + 0.09 + 0.081)

P(m ≥ 4) = 0.729

therefore, the required probability = 0.729

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The complete question is:

An airline claims that there is a 0.10

probability that a coach-class ticket holder who flies frequently will be upgraded to first class on any flight. This outcome is independent from flight to flight. Sam is a frequent flier who always purchases coach-class tickets.

What is the probability that Sam's first upgrade will occur after the third flight?

The 4 prices can be given in equal distributions by 6,852,816 different ways to the 54 competitors in the athletic event.

To determine the number of ways the 4 prizes can be given among the 54 competitors, we can use the concept of permutations.

For the first prize, there are 54 possible competitors who can win it. Once the first prize is awarded, there are 53 competitors remaining for the second prize. Similarly, there are 52 competitors for the third prize and 51 competitors for the fourth prize.

To calculate the total number of ways, we multiply the number of possibilities for each prize together:

54 * 53 * 52 * 51 = 6,852,816.

Therefore, there are 6,852,816 ways the 4 prizes can be given among the 54 competitors in the athletic event. Each arrangement represents a different combination of competitors receiving the prizes based on their rankings.

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If you expect to eat only 56 meals in a month, Contract A is the best option as it has the lowest cost per meal.

For Contract A, the cost per meal is $480/90 = $5.33 per meal.

For Contract B, the cost per meal is $200 + $4(56) = $424.

For Contract C, the cost per meal is $8(56) = $448.

Therefore, if you expect to eat only 56 meals in a month, Contract A is the best option as it has the lowest cost per meal.

Someone might prefer Contract B if they plan on eating more than 70 meals in a month.

Someone might prefer Contract C if they plan on eating less than 56 meals in a month.

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Answer:

1/11

Step-by-step explanation:

First you have to times 1/3 and 1/2 and then you get 1/6. Then you add 1/3 and 1/2 and that's 1/5. then you add them both.

Corrected Question

e(x)=840-52.5x

Let e(x) be the elevation, in meters, of a cable car from the ground, x minutes after it begins descending from the top of a hill. Since e(14) = ?, the elevation of the cable car will be meters from the ground minutes after it begins descending from the top of the hill.

Answer:

e(14) =105 meters

Elevation of the cable car 14 minutes after it begins descending from the top of the hill= 105 meters from the ground

Step-by-step explanation:

Given the elevation, e(x) in meters, of a cable car from the ground , x minutes after it begins descending from the top of a hill.

e(x)=840-52.5x

e(14)=840-52.5(14)

e(14)=840-735

e(14)=105 meters

Since e(14) =105 meters, the elevation of the cable car will be 105 meters from the ground 14 minutes after it begins descending from the top of the hill.

Answer: x=120

Step-by-step explanation:

(2x-50)+(x+40)+150+80+(x+20)+90= 720

4x+330= 720

4x=390

x=97.5

Franklin has 10 granola bars and 6 pieces of dried fruit. The greatest number of snack bags Franklin can make is 2 bags.

The factor shared by at least two numbers is known as the common factor. Each of the given numbers is divided exactly by two or more numbers.

Here given granola bar = 10 and dried fruit = 6.

Then, the common factors of 10 and 6 are

1, 2, 3, and 6 are used to represent factors of 6.

1, 2, 5, and 10 are used to represent factors of 10.

2 is discovered to be the biggest common factor between 6 and 10.

Then, the greatest number of snack bags Franklin can make is 2 bags.

The complete question -

Franklin wants to create a snack bag for a trip he is going on. He has 10 granola bars and 6 pieces of dried fruit. If the snack bag should be identical without any food left over, what is the greatest number of snack bags Franklin can make?

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The numbers : 4,-10 and -4 are integers.

A number without a decimal or fractional element is known as an integer, which can be both positive and negative, including zero.

The Latin word "integer" signifies "whole" or "intact." Thus, fractions and decimals are not included in integers.

All whole numbers and negative numbers are considered integers. This means that if we combine negative numbers with whole numbers, a collection of integers results.

"Negative 1 and one-third" includes a fractional part, so it is not an integer.

"2.5" and "0.ModifyingAbove 13 with Bar" contain a decimal, so it is also not an integer.

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a. The graph of the budget line would have hamburgers on the x-axis and bags of figs on the y-axis. b. the budget line equation represents Rachel's affordability based on her income and the prices of hamburgers and figs. Changes in prices, income, or additional resources can affect the slope, position, or rotation of the budget line on a graph.

a) Rachel's budget line equation can be written as follows:

Budget = (Price of Hamburger * Quantity of Hamburgers) + (Price of Figs * Quantity of Figs)

Since the price per hamburger is $3 and the price per bag of figs is $2, the equation becomes:

Budget = 3x + 2y

Where x represents the quantity of hamburgers and y represents the quantity of bags of figs. The graph of the budget line would have hamburgers on the x-axis and bags of figs on the y-axis.

b) If the price of figs increases to $3, the new budget line equation becomes:

Budget = 3x + 3y

The graph of the new budget line would show a steeper slope compared to the original budget line. This indicates that the relative price of figs has increased, making them relatively more expensive compared to hamburgers.

c) In this scenario, Rachel has an income of $50, the price per hamburger is $3, the price per bag of figs is $3, and she receives an additional $10 in cash from a friend. The new budget line equation can be written as:

Budget = (3x + 3y) + 10

The graph of the new budget line would shift upward parallel to the original budget line. The additional cash from Rachel's friend increases her purchasing power, allowing her to afford more hamburgers and/or bags of figs.

d) Now, Rachel's friend gives her a gift basket containing 3 free bags of figs. In this case, the budget line equation remains the same as in part c:

Budget = (3x + 3y) + 10

However, since Rachel receives 3 free bags of figs, she can allocate more of her budget towards purchasing hamburgers. This would cause the budget line to rotate outward from the y-intercept, resulting in a flatter slope. The new budget line would reflect Rachel's ability to purchase more hamburgers with the same income and price of figs.

In summary, the budget line equation represents Rachel's affordability based on her income and the prices of hamburgers and figs. Changes in prices, income, or additional resources can affect the slope, position, or rotation of the budget line on a graph.

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Given:

Consider the below figure attached with this question.

Angles of a triangle are x, y and z.

To find:

The values of x, y and z.

Solution:

If two angles are linear pair, then their sum is 180 degrees.

\(y+(3x+5)=180\)

\(y=180-3x-5\)

\(y=175-3x\)

Similarly,

\(z+(3x-5)=180\)

\(z=180-3x+5\)

\(z=185-3x\)

According the the angle sum property, the sum of all angles of a triangle is 180 degrees.

\(x+y+z=180\)

\(x+(175-3x)+(185-3x)=180\)

\(-5x+360=180\)

\(-5x=180-360\)

\(-5x=-180\)

Divide both sides by -5.

\(x=36\)

The value of x is 36.

\(y=175-3(36)\)

\(y=175-(108)\)

\(y=67\)

Now,

\(z=185-3(36)\)

\(z=185-108\)

\(z=77\)

Therefore, the values of x, y and z are 36, 67 and 77 respectively.

the shortest side is 6 centimeters and the length of each of the other sides is 12 centimeters each.

Let x represent the length of the shortest side of the triangle.

Two sides of the triangle are each twice as long as the shortest side. This means that the length of the two sides would be 2x.

The perimeter of a triangle is the sum of each side of the triangle.

The puzzle piece in the shape of a triangle has perimeter 30 centimeters. This means that

x + 2x + 2x = 30

5x = 30

x = 30/5

x = 6

The length of each of the two sides is

2x = 2 × 6 = 12

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Answer:

20,000.

Step-by-step explanation:

The first music player has 500 songs stored by 2 GB. So 500/2 is 250. You take 250 and you multiply it by 80 and you get 20,000.