When x=7 , the first equation y = 200 + 350x has the greater value.
To determine which equation has the greater value when x=7, we need to evaluate both equations at x=7 and compare the resulting y values.
For the first equation [tex]\( y = 200 + 350x \):[/tex]
[tex]\[ y = 200 + 350 \times 7 \]\[ y = 200 + 2450 \]\[ y = 2650 \][/tex]
For the second equation y=3x
[tex]\[ y = 3 \times 7 \]\[ y = 21 \][/tex]
Comparing the values, we see that y=2650 for the first equation and y=21 for the second equation.
Can someone plz help me with this math problem.
Which of the sets of ordered pairs represents a function?
A = {(−5, 5), (−2, 2), (2, −2), (5, −5)}
B = {(4, 2), (3, −2), (9, 4), (11, −3)}
whats the property in this equation 6 + 3= 3 +6
a certain triangle has a 30 degree angle and a 60 degree angle. which must be a true statement about the triangle
Jaidee made her trip to the train station and back. The trip there took two hours and the trip back took five hours. She averaged 30 mph faster on the trip there than on the return trip. What was Jaidee's average speed on the outbound trip?
A quarterback completes 65% of his passes. Out of his next 40 passes, how many can you expect to be completed.
How long is a distance of 8 km if measured on a map with a scale of 1:50,000
Final answer:
To find the map distance of an 8 km actual distance on a map with a scale of 1:50,000, convert 8 km to meters (8,000 m), and divide by the scale factor (50,000) to get the map distance of 16 centimeters.
Explanation:
To calculate the length of an 8 km distance on a map with a scale of 1:50,000, you can use the formula:
Actual distance (in real life) / Scale = Distance on the map. This can be rearranged to: Distance on the map = Actual distance / Scale. Therefore, 8 km / 1:50,000 conversion would be calculated as follows:
The distance of 8 km is represented as 16 centimeters on a map with a scale of 1:50,000.
Bradley bought 14 yellow highlighters. each highlighter cost $0.94.how much did Bradley spend?
Which is colder 0°F or 6°F
Can some one please help me ?
110% =1.10
multiply the old price by that
2.85 *1.10 = 3.135
round to 3.14
new price is $3.14
Factor this trinomial with a leading coefficient of 1. The trinomial being 2x^2y-34xy+144y
A water tower is used to store fire fighting water at an industrial plant. The tank on top of the tower is in the shape of a cylinder with a height of 15 feet and a diameter of 7 feet. One cubic foot is approximately 7.5 gallons. how many gallons are in the tank if its 55% full?
What is the volume of four cubes with a side length of fraction 1 over 4 foot? V = s3, where s is the side length. fraction 1 over 4 ft3 fraction 1 over 3 ft3 fraction 1 over 12 ft3 fraction 1 over 16 ft3
Answer:
Option D. [tex](\frac{1}{16}) ft^{3}[/tex]
Step-by-step explanation:
Since formula to find volume of a cube is V = (side)³
and one side of the cube is [tex](\frac{1}{4})[/tex] foot
Therefore, volume of the cube will be
V = [tex](\frac{1}{4})[/tex]³
We have to calculate the volume of 4 cubes
4 × V = 4 × [tex](\frac{1}{4})[/tex]³
= [tex]\frac{4\times 1}{4^{3}}=\frac{1}{4^{2}}=(\frac{1}{16})ft^{3}[/tex]
Option D. [tex](\frac{1}{16}) ft^{3}[/tex] is the answer.
Find the probability of rolling an even number on a fair number cube and drawing a red card from a standard deck of cards.
The probability of rolling an even number on a fair number cube and drawing a red card from a standard deck of cards is 1/4.
Explanation:The probability of rolling an even number on a fair number cube is 1/2 because there are three even numbers (2, 4, 6) out of a total of six possible outcomes (1, 2, 3, 4, 5, 6).
The probability of drawing a red card from a standard deck of cards is 26/52, or 1/2, because there are 26 red cards (13 hearts + 13 diamonds) out of a total of 52 cards in the deck.
To find the probability of both events happening, you multiply the probabilities together: (1/2) * (1/2) = 1/4.
The probability of rolling an even number on a six-sided die and drawing a red card from a standard deck of cards is 1/4. P(EM) refers to the probability of rolling a number that is both even and a multiple of three. P(E OR M) represents the probability of rolling a number that is either even or a multiple of three.
Explanation:The probability of rolling an even number on a fair six-sided die is calculated by counting the even numbers (2, 4, 6) and dividing by the total number of sides, which gives us P(E) = 3/6 = 1/2. For drawing a red card from a standard deck of 52 playing cards, half of the cards are red, so P(Red) = 26/52 = 1/2. To find the combined probability of both independent events occurring, we multiply their respective probabilities: P(Even number and Red card) = P(E) × P(Red) = (1/2) × (1/2) = 1/4.
What does P(EM) mean in words?
P(EM) represents the probability of the intersection of two events, E and M, meaning the probability that the number rolled is both even and a multiple of three.
What does P(E OR M) mean in words?
P(E OR M) signifies the probability of the union of two events, E or M, which is the chance that the number rolled is either even or a multiple of three.
One serving of granola provides 4% of the protein you need daily. You must get the remaining 48 grams from other sources. How many grams of protein do you need daily?
46.08 grams of protine daily
plz help you have to turn your phone to the side
You are watching your favorite soccer player on TV. Statistics show that he has a 37% chance of scoring a goal each time he shoots. He shoots twice. What is the probability that he scores a goal both times?
What is the place value of 1 in 209.631?
First right answer gets brain
what is 18 divided by negative 3
A moving company charges $0.60 per pound for a move from New York to Florida. A family estimates that their belongings weigh about 4 tons. About how much would it cost the family to move from New York to Florida?
1 ton = 2000 pounds
4* 2000 = 8000 pounds total
8000 * 0.60 = $4,800.00
it will cost $4,800 to move
Answer:
Step-by-step explanation:
1 ton = 2000 pounds
4* 2000 = 8000 pounds total
8000 * 0.60 = $4,800.00
it will cost $4,800 to move
Model the function rule y = -2x - 3 with a table of values. Show your work.
On a coordinate grid, the coordinates of vertices P and Q for Polygon PQRS are P(3, 2) and Q(−3, 2). What is the length of Side PQ of the polygon?
A factory employs 3 full-time workers and 6 part-time workers; the amount earned by each is: $36,000 for the production supervisor; $27,000 for the machine operator; $21,000 for the general assistant; a total of $50,000 for part-time staff. How much was the wage bill for the 3 full-time staff?
The total wage for full-time workers is 84000$.
What is simplification?Simplifying a value simply means finding it in its most basic form. To simplify the problem, we use a number of approaches, including PEMDAS and BODMAS. Aside from the value, the variables must also be made simpler.
Given, A factory employs 3 full-time workers and 6 part-time workers; the amount earned by each is $36,000 for the production supervisor; $27,000 for the machine operator; $21,000 for the general assistant; a total of $50,000 for part-time staff.
The Total wage for the full-time staff = 36000 + 27000 + 21000
The total wage for the full-time staff = 84000
Therefore 84000$ was the wage bill for the 3 full-time staff.
Learn more about simplification here:
https://brainly.com/question/746677
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PLEASE HELP ME!!!
If the diameter of a men’s basketball is 10 inches and a women’s is 9 inches, what is the approximate difference of their volumes?
A.137.6 in.^3
B.141.9 in.^3
C.145.6 in.^3
The volume of a sphere is.
V = 4/3 * π * r(raised to the 3rd power)V1 represents when r = 5Answer:
C
Step-by-step explanation:
141.9in3
From the side view, a gymnastics mat forms a right triangle with other angles measuring 60° and 30°. The gymnastics mat extends 5 feet across the floor. How high is the mat off the ground?
To find the height of the mat off the ground, we can use trigonometry.
Explanation:To find the height of the mat off the ground, we can use trigonometry. Since the angles of the right triangle formed by the mat are 60° and 30°, we can determine the height using the sine function. The sine of an angle is equal to the length of the side opposite the angle divided by the length of the hypotenuse.
In this case, the side opposite the 30° angle is the height of the mat, and the hypotenuse is the length of the mat, which is 5 feet. So, we have sin(30°) = height/5. Solving for the height, we get height = 5 * sin(30°) = 5 * 0.5 = 2.5 feet.
Therefore, the mat is 2.5 feet off the ground.
The correct answer is option B. The height of the gymnastics mat off the ground is [tex]\frac{5\sqrt{3}}{3}}[/tex] feet.
Given that the gymnastics mat extends 5 feet across the floor, this length corresponds to the side opposite the 60° angle in the right triangle.
Let's denote the length of the side opposite the 30° angle as [tex]$x$[/tex].
According to the properties of a 30-60-90 triangle, the side opposite the 60° angle is [tex]\sqrt{3}[/tex] times the side opposite the 30° angle, so we have:
[tex]\[ 5 = x\sqrt{3} \][/tex]
To find [tex]$x$[/tex], we divide both sides of the equation by [tex]$\sqrt{3}$[/tex]:
[tex]\[ x = \frac{5}{\sqrt{3}} \][/tex]
To rationalize the denominator, we multiply the numerator and the denominator by [tex]$\sqrt{3}$[/tex]:
[tex]\[ x = \frac{5\sqrt{3}}{3} \][/tex]
The complete question is:
From the side view, a gymnastics mat forms a right triangle with other angles measuring 60° and 30°. The gymnastics mat extends 5 feet across the floor. How high is the mat off the ground?
A. [tex]\frac{5}{2}[/tex] ft.
B. [tex]\frac{5\sqrt{3}}{3}[/tex] ft.
C. [tex]5\sqrt{3}}[/tex] ft.
D. 10 ft.
a football team gain 2 yards on the first play ,losees 5 yards on the second play ,loses 3 yards on the third, and gains 4 on the the fourth play.what is the teams overall gain or loss for all four plays
Show that |3+10| =|3|+|10|
Rick and Ben had the same amount of money. Ben spent $138. In the end,Rick had 4 times as much as Ben.How much did Rick have?
the selling price of a house dropped from 250,000 to 210,000 over a period of five years. By what percentage didnthe sellling price decrease?
The selling price of the house decreased by 16%.
Explanation:To find the percentage decrease in the selling price of the house, we need to calculate the difference between the initial selling price and the final selling price, and then divide that by the initial selling price. Finally, we multiply the result by 100 to get the percentage decrease.
Difference = Initial Selling Price - Final Selling Price = $250,000 - $210,000 = $40,000Percentage decrease = (Difference / Initial Selling Price) x 100 = ($40,000 / $250,000) x 100 = 16%Therefore, the selling price of the house decreased by 16%.
The selling price of the house decreased by 16%.
Explanation:To find the percentage decrease in the selling price of the house, we can use the following formula:
Percentage decrease = ((Initial price - Final price) / Initial price) x 100
In this case, the initial price is $250,000 and the final price is $210,000. Plugging these values into the formula, we get:
((250,000 - 210,000) / 250,000) x 100 = (40,000 / 250,000) x 100 = 0.16 x 100 = 16%
Therefore, the selling price of the house decreased by 16%.