The solution to the equation is m = 400
The equation is given as:
Rewrite the above equation as
Divide 2400 by 6
Hence, the solution to the equation is m = 400
See attachment for the bar diagram
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rolling a number less than 3 on a six-sided die
spinning a number less than 2 on a spinner that has four equal sections numbered from 1 to 4
choosing an Oregon state quarter out a bag that contains 4 California state quarters, 3 Oregon state quarters, 6 Texas state quarters, and 3 New York state quarters
choosing a spade out of a standard deck of cards that contains 13 hearts, 13 clubs, 13 diamonds, and 13 spades
Choosing a green jelly bean.
Spinning a number less than 2 on a spinner.
Choosing a spade out of a standard deck of cards.
Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.
Probability of choosing a green jelly bean = number of green jelly bean / total number of beans
2/8 x 100 = 25%
Probability of spinning a number less than 2 on a spinner = number that is less than 2 / total number of sections
1/4 x 100 = 25%
Probability of choosing a choosing a spade= number of spade / total cards in the deck
13/54 x 100 = 25%
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The three options that have a probability of 25 percent are:
- Choosing a green jelly bean
- Spinning a number less than 2 on a spinner
- Choosing a spade from a standard deck of cards
The probability of an event occurring is calculated by dividing the number of favorable outcomes by the total number of possible outcomes. A probability of 25 percent corresponds to a ratio of 1 out of 4 (since 25% is one-fourth of 100%). Let's analyze the options:
1. Choosing a green jelly bean: There are 2 green jelly beans out of a total of 2 + 1 + 5 = 8 jelly beans. The probability is 2/8, which simplifies to 1/4 or 25%. This option has a probability of 25%.
2. Rolling a number less than 3 on a six-sided die: There are 2 favorable outcomes (1 and 2) out of 6 possible outcomes (1 through 6). The probability is 2/6, which simplifies to 1/3 or approximately 33.33%. This option does not have a probability of 25%.
3. Spinning a number less than 2 on a spinner: There is 1 favorable outcome (1) out of 4 possible outcomes (1 through 4). The probability is 1/4 or 25%. This option has a probability of 25%.
4. Choosing an Oregon state quarter: There are 3 Oregon state quarters out of a total of 4 + 3 + 6 + 3 = 16 state quarters. The probability is 3/16, which is not equal to 25%.
5. Choosing a spade from a standard deck of cards: There are 13 spades out of a total of 13 + 13 + 13 + 13 = 52 cards. The probability is 13/52, which simplifies to 1/4 or 25%. This option has a probability of 25%.
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will give points please hurry
A graph is the plot of a function or a proportion thus (1,18) represents the number of cookies made by using 1 cup of flour is 18.
A graph is a diametrical representation of any function between the dependent and independent variables.
For example y = x² form a parabola now by looking at only the graph we can predict that it has only a positive value irrespective of the interval of x.
As per the given graph of the number of cookies and cups of flour.
The coordinate of a point is (x,y) and here x-axis is the cups of flour and the y-axis is the number of cookies.
Since x = 1 so cups of flour are 1.
Since y = 18 so the number of cookies is 18.
Hence "A graph is the plot of a function or a proportion thus (1,18) represents the number of cookies made by using 1 cup of flour is 18".
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To reduce the average cost per item to less than $500, it is necessary to produce more than 20 items according to the function C(x)=300x+6000.
The function C(x)=300x+6,000 represents the cost to produce x items. The average cost per item is given by C(x)/x. We need to find when this average cost is less than $500.
Setting up the inequality, we get C(x)/x < 500. Substituting the value of C(x) into the inequality, we get (300x + 6000)/x < 500. Simplifying this inequality, we end up with: x > 20.
Therefore, more than 20 items need to be produced for the average cost to be less than $500.
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Answer:
More than 30 items
Step-by-step explanation:
C(x)=300x+6,000
First, find c(x), the average cost function.
c(x)c(x)=C(x)x=300x+6,000x
The average cost function is shown below.
c(x)=300x+6,000x
We want the function c(x) to be less than 500.
c(x)<500
Substitute the rational expression for c(x).
300x+6,000x<500x≠0
Subtract 500 to get 0 on the right.
300x+,6000x−500<0
Find the LCD, and rewrite the left side as one quotient.
300x+6,000x−500xx−200x+6,000x<0<0
Factor the numerator to show all factors.
−200(x−30)x<0
Find the critical points when the numerator or denominator are equal to 0.
−200(x−30)−200≠0x−30x=0x=0=0=30
More than 30 items must be produced to keep the average cost below $500 per item.
Answer:
Step-by-step explanation:
Why are you asking? Why isn't your friend?
The diagram assumes that the angle on the lower left of the triangle is a right angle. If it is not, then I don't think there is a way that this can be solved.
Tan(A) = opposite / adjacent
opposite = 7
Adjacent = 4
Tan(A) = 7/4 = 1.75
A = inverseTan (1.75)
A = 60.60 degrees
Answer:
12:15
Step-by-step explanation:
Minor point: the quadrilateral is STWR, not STRW. Vertices are named in order.
The measure of angle T is half the measure of arc WRS. The measure of angle R is half the measure of arc STW. The sum of the measures of the two arcs is the measure of a circle, 360°, so you have
... T + R = (WRS)/2 + (STW)/2
... ... = (WRS + STW)/2
... ... = 360°/2 = 180°
Since the sum of T and R is 180°, they are supplementary.