Is (4,-2) a solution to the equation 5x - y = 18?
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A translation is a transformation in which every point of the preimage is moved the same distance in the same direction.
Is (5,6.5) a solution to y= -1/2x + 9?
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Nancy rowed across the lake with her friend Kelly at a rate of 5 mph. Kelly then rowed back at a rate of 4 mph. If the lake is 6 miles across, how long did it take them to complete their trip?
what is the equation of this circle in general form
Someone plz help me!!!
Mike took a taxi from his home to the airport the taxi driver charged an initial fee of six dollars +3 dollars per mile for total fare was $24 not including the tip how many miles and make travel by a taxi on his ride
The table shows the data of a random sample of fish that were collected from and later released into a lake.
Type of Fish Bass Eel Gar
Number of Fish 92 56 52
How many bass are estimated to be present if a sample of 1,000 fish is collected from the lake?
1: 184
2: 292
3: 420
4: 460
I need the answer ASAP!!
At Joe's Market, three oranges and one apple cost $1.86, and two oranges and three apples cost $2.15. What is the cost of one apple?
Is 3.2 meters equal to 320 millimeters?
which of the following expressions is equivalent to the expression below? 4/7*5/9 a.5/9/ 4/7 b.4/7 /5 /9 c.4/9 / 5/7 d.4/7 /
To simplify the expression 4/7 * 5/9, the equivalent expression is 20/63.
Explanation:To simplify the expression 4/7 * 5/9, we can multiply the numerators together to get the new numerator and multiply the denominators together to get the new denominator. So, the expression becomes 20/63. Therefore, none of the options listed are equivalent to 4/7 * 5/9.
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None of the options a, b or c are equivalent to the expression 4/7*5/9. The correct expression must simplify to 20/63.
Explanation:The question is asking to find out which of the provided expressions is equivalent to the expression 4/7*5/9. The correct option should yield the same result as the original expression when calculated. The expression 4/7*5/9 simplifies to 20/63.
Let's check the provided options:
Option a: 5/9 divided by 4/7 simplifies to 35/36, which is not equal to 20/63.Option b: 4/7 divided by 5/9 simplifies to 36/35, which is also not equal to 20/63. Option c: 4/9 divided by 5/7 simplifies to 28/45, which is not equal to 20/63.The provided information about relative frequencies is irrelevant for this question.
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This morning, a convenience store had 21 granola bars in stock. The store sold 6 granola bars throughout the day. If the store will receive a shipment of 42 granola bars tomorrow, how many granola bars will it have in stock?
After selling 6 out of 21 granola bars, the store has 15 left. Following a shipment of 42 granola bars, the store will have a total of 57 granola bars in stock.
To find out how many granola bars the store will have in stock after the shipment, we should first calculate how many granola bars are left after the sales by subtracting the number sold from the initial stock. They started with 21 granola bars and sold 6, so they have 21 - 6 = 15 granola bars left. Then, we add the number of granola bars in the shipment arriving tomorrow to the number they currently have in stock. They will receive 42 granola bars in the shipment, so the total will be 15 + 42 = 57 granola bars in stock after the shipment arrives.
one endpoint of the line segment lies on quadrant 2 while the other endpoint lies in quadrant 3 which statement is true about the segment's midpoint
The true statement for the given information is the y coordinate is negative
The correct answer is:
d. The y-coordinate is negative.
Let's break down the problem step by step:
1. Identify the Quadrants of the Endpoints: One endpoint lies in quadrant 2, and the other endpoint lies in quadrant 3.
2. Determine the Coordinates of the Endpoints:
- For a point in quadrant 2, both the x-coordinate and y-coordinate are positive.
- For a point in quadrant 3, the x-coordinate is negative, and the y-coordinate is negative.
3. Find the Midpoint Formula: The midpoint formula for a line segment with endpoints [tex]\((x_1, y_1)\)[/tex] and [tex]\((x_2, y_2)\)[/tex] is:
[tex]\[ \text{Midpoint} = \left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) \][/tex]
Now, let's apply these steps to find the properties of the midpoint:
1. Identify the Quadrants of the Endpoints:
- Endpoint 1: Quadrant 2
- Endpoint 2: Quadrant 3
2. Determine the Coordinates of the Endpoints:
- Endpoint 1 (Quadrant 2): Positive x-coordinate, Positive y-coordinate
- Endpoint 2 (Quadrant 3): Negative x-coordinate, Negative y-coordinate
3. Find the Midpoint:
- Since the x-coordinate of one endpoint is positive and the x-coordinate of the other endpoint is negative, the x-coordinate of the midpoint will be between these two values, but we cannot determine its sign from this information.
- Since one y-coordinate is positive and the other is negative, the midpoint's y-coordinate will lie between these two values, but it will be negative.
Therefore, the correct answer is:
d. The y-coordinate is negative.
The midpoint's x-coordinate could be either positive or negative, depending on the specific values of the endpoints. However, the y-coordinate will always be negative because it lies between a positive y-coordinate and a negative y-coordinate. This is consistent with the fact that one endpoint lies in quadrant 2 (positive y) and the other lies in quadrant 3 (negative y).
Complete question:
one endpoint of the line segment lies on quadrant 2 while the other endpoint lies in quadrant 3 which statement is true about the segment's midpoint
a. the x coordinate is negative
b. the x coordinate is positive
c. the y coordinate is positive
d. the y coordinate is negative
Suppose your friends parents invest $15,000 in an account paying 4% annually. What will the balance be after 9 years?
A jar contains 26 fluid ounces of spaghetti sauce how many cups of spaghetti sauce do 4 jars contain
Nick flew 1,560 miles in 3 hours on his airline flight. How far did nick fly in 1 hour ?
A pop star is coming for a live concert in your area. The ticket proceeds will benefit a nonprofit organization helping underprivileged children interested in music education. They would like to raise $1,500. Stage-level seats are on sale for \$10 each and balcony-level seats are on sale for \$5 each. How many of each seat type would need to be sold to reach the goal of \$1,500?
Please really need help :(
McCune Landscaping buys 100 shovels for $15 each. McCune sells all 100 shovels at $29.99. What is the profit?
it is 1,325 feet from kinsey's house to her friend carlito's house. when she visits carlito, she walks to his house and gets a ride home from carlito's mom. how many feet does kinsey walk to carlito's house in 112 visits.
Kinsey walks a total of 148,400 feet to visit Carlito's house 112 times. This was calculated by multiplying the distance of a single trip (1,325 feet) by the number of trips (112).
Explanation:To solve this problem, we simply need to multiply the distance that Kinsey walks to Carlito's house by the number of visits she makes. So, the calculation would be 1,325 feet * 112 visits.
After doing this multiplication, we find that the total distance Kinsey walks to Carlito's house in 112 visits is 148,400 feet.
This is a good example of how problems can be solved using simple multiplication in real-life situations, like calculating the total distance covered in multiple trips.
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Nora started a business making bracelets. She spent $75.00 on advertising and $35.00 on supplies. She sells each bracelet for $1.50. What is the least number of bracelets Nora needs to sell to make money than she spent? Show your work.
solve 2x^3 - 3x^2 + 8x - 12 = 0 (this is complex zeros btw)
Fahim is 6 feet tall. At noon, he stands with the sun behind him casting a shadow. The distance from the top of Fahim’s head to the furthest tip of the shadow is 13 feet. [Not drawn to scale] What is the length of Fahim’s shadow? Round to the nearest tenth of a foot.
7.0 feet
8.5 feet
11.5 feet
14.3 feet
Answer: 11.5 feet
Step-by-step explanation:
Given: The height of Fatim = 6 feet
At noon, he stands with the sun behind him casting a shadow. Also, Fatima is standing vertical to the ground such that a right triangle is formed.
Let the length of Fahim’s shadow be x.
By Pythagoras theorem , we have
[tex]13^2=x^2+6^2\\\\\Rightarrow169=x^2+36\\\\\Rightarrow\ x^2=169-36\\\\\Rightarrow\ x^2=133\\\\\Rightarrow x=\sqrt{133}=11.5325625947\approx11.5[/tex]
Hence, the length of Fahim’s shadow =11.5 feet
you need 2/3 cup of flour to make 1 loaf of bread. how much flour to make 3 loaves of bread?
A car listens plate is made up of 7letters or numbers, where the numbers are whole numbers 0-9.
Suppose the license plate is randomly generated, one character at a time.
What is the probability the first character is a number?
Enter you sender as a decimal rounded to the nearest hundredth
1. One box of cereal is 16 ounces and costs $3. A smaller box of The same cereal is 11.5 ounces and costs $2. Which box of cereal is the better but? Explain.
2. I'm an N-guage model train set, a tank car is 3.75 inches long. The actual tank car is 50 feet long. What is the ratio of the length of the actual tank car to the length of the model tank car?
3. 9 km/1 hour = ?m/ 1 second
What is the depth and volume of this rectangular prism in cubes and cubic inches?
Jack rented a boat for one day.it cost 15.50 plus 0.35 per hour.if jack paid 16.90 in total for the boat rental.for how many hours did he use the boat?
27 PTS + BRAINLIEST. I need all of these questions answered. I will award brainliest to the fastest and most correct answer. I will report unrelated answers.
ex: 2a. -4x
Catherine has $54. She plans to spend more than $20 of the money for a painting canvas. The rest will go toward paints. Each tube of paint costs $8.50. Assume that x represents the number of tubes of paint Catherine can buy.
The inequality that best represents this scenario is _____. A. 8.5x + 20 > 54 B. 8.5x - 20 < 54 C. 54 - 8.5x < 20 D. 54 - 8.5x > 20
The number of tubes of paint Catherine can buy is _____. A. at least 5 B. more than 4 C. less than 4 D. more than 5
Final answer:
The inequality representing Catherine's scenario is 8.5x + 20 < 54, and the number of tubes of paint she can buy is less than 4.
Explanation:
The inequality that best represents the scenario where Catherine has $54, plans to spend more than $20 on a painting canvas, and the rest on paint tubes that cost $8.50 each, is 8.5x + 20 < 54. This equation illustrates how much money Catherine will have left after purchasing the painting canvas for more than $20.
To determine the number of paint tubes Catherine can buy, we solve the inequality:
Subtract 20 from both sides: 8.5x < 54 - 20
Simplify the right side: 8.5x < 34
Divide both sides by 8.5 to isolate x: x < 34 / 8.5
Calculate x: x < 4
Therefore, the number of tubes of paint Catherine can buy is less than 4 (C. less than 4).
Kenny wrote the equation for a linear relationship shown below
Y=-3x+4
If x equals 7 what is the value of y