The value of 'x' in the solution to the following system of equations is -1 and this can be determined by using the arithmetic operations.
Given :
x - y = -3x + 3y = 5The following steps can be used in order to determine the value of x:
Step 1 - The arithmetic operations can be used in order to determine the value of 'x'.
Step 2 - Write the given system of equations.
x - y = -3 --- (1)
x + 3y = 5 --- (2)
Step 3 - Simplify the equation (1).
x = y - 3 --- (3)
Step 4 - Substitute the value of 'x' in equation (2).
y - 3 + 3y = 5
4y = 8
y = 2
Step 5 - Substitute the value of 'y' in equation (3).
x = 2 - 3
x = -1
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Which symbol correctly compares the two fractions? Use > , < , or =. Enter your answer in the box. 2/4 3/8
The greater than symbol, ">," accurately compares the two fractions because 2/4 > 3/8. They are 2/4 and 3/8, respectively.
what are symbols ?something that represents another item. especially: something tangible that denotes or implies something else that is not itself imaginable or demonstrable. The lion is a representation of bravery. an alternative to a word or combination of words, such as a letter, character, or sign.
given
= 2/4 = 0.5
= 3/8 = roughly 0.37
The greater than symbol, ">," accurately compares the two fractions because 2/4 > 3/8.
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Final answer:
To compare 2/4 and 3/8, simplify 2/4 to 1/2, then convert to eighths, resulting in 4/8. Since 4/8 is greater than 3/8, 2/4 is greater than 3/8.
Explanation:
To compare the fractions 2/4 and 3/8, we need to find a common denominator or convert them to a common form such as decimals.
The simplest way is to notice that 2/4 can be simplified to 1/2.
Now, if we convert 1/2 to eighths, we get 4/8 because we multiply both the numerator and denominator by 4 to get the common denominator of 8 (1 x 4)/(2 x 4) = 4/8.
Comparing 4/8 with 3/8, we can see that 4/8 is larger than 3/8, as 4 is greater than 3.
Hence, the correct inequality symbol to compare 2/4 and 3/8 is ">".
According to the transitive property of inequality which states that if a > b and b > c then a > c, if 4/8 > 3/8 and 2/4 is equal to 4/8, then 2/4 > 3/8.
two angles are supplementary if the sum of their measures is 180 degrees. find two supplementary angles such that the smaller is 30 degrees more than one-half of the larger.
step by step please
Pat has nine cards. Frank has two more cards than Steve. Steve has 3 cards how many more cards does Pat have than Frank?
Based on the information given, Pat has 4 more cards than Frank.
The number of cards that Pat has = 9 cards
Number of cards that Steve has = 3 cards
Since Frank has two more cards than Steve, the total number of cards that Frank has will be: = 3 + 2 = 5
In order to know the number of cards that Pat has more than Frank, we will have to calculate the difference between the cards that they've. This will be:
= Pat's card - Frank's card
= 9 - 5
= 4
Therefore, Pat has 4 more cards than Frank.
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It takes 37 pounds of seed to completely play a 4 acre field how many acres can be planted per pound of seed
james scored 300 runs in cricket. he requires 900 runs to qualify for league MVP contention. he scores 50 runs during the average of the game. how many games does he have to plsy to score the remaining runs he needs?
James needs to score a total of 900 runs for MVP contention. Subtracting the 300 runs he has already made from the 900 required leaves 600 runs. By dividing these 600 remaining runs by his average of 50 runs per game, we find that James needs to play 12 more games.
James currently scored 300 runs and needs a total of 900 runs for MVP contention. To find out how many more games he must play, we need to calculate the remaining runs required and divide that number by the average runs he scores per game. The remaining runs needed are 900 - 300, which equals 600. As James scores an average of 50 runs per game, we divide the remaining runs, 600, by 50 to find the number of games he needs to play.
600 ÷ 50 = 12 games
Therefore, James will need to play 12 more games to score the remaining runs he requires for league MVP contention.
what is 0.13 +(-5.7)
Calvin Butterball is driving along the highway. He starts up a long, straight hill. 114 meters from the bottom of the hill Calvin's car runs out of gas. He doesn't put on the brakes, so the car keeps rolling for awhile, coasts to a stop, then start rolling backwards. He finds that his distances from the bottom of the hill 4 and 6 seconds after he runs out of gas are 198 and 234 meters, respectively. b.Write an equation expressing Calvin's distance from the bottom of the hill in terms of the number of seconds which have elapsed since he ran out of gas.
Final answer:
To determine Calvin's distance from the bottom of the hill in terms of the number of seconds since running out of gas, we can use the equation of motion for uniformly accelerated motion.
Explanation:
To write an equation expressing Calvin's distance from the bottom of the hill in terms of the number of seconds that have elapsed since he ran out of gas, we can use the equation of motion for uniformly accelerated motion.
Calvin's initial position at 0 seconds is 114 meters, and his final position at 4 seconds is 198 meters. Plugging these values into the equation:
d = vi x t + 0.5 x a x t²
we can solve for the acceleration, a:
a = (d - vi x t) / (0.5 x t²)
Substituting the values of d = 198m and t = 4s, we get:
a = (198m - 114m) / (0.5 x (4s)²)
After obtaining the acceleration, we can use the equation to find Calvin's distance from the bottom of the hill at any time after running out of gas.
5 less than the quotient of a number and 3 is -7
is it possible for number to be a rational number that is not an integer but is a whole number explain
David charges $15 plus $5.50 per hour to mow lawns Arie charges $12 plus $6.25 per hour to mow lawns. In what situation is Aries charge greater than or equal to David’s charge?
how do you simplify -7 |7|
PLease help ME!!!!!!!!!!!!!!!!!!
Conduct a poll of adults and students in your area. Ask them how much time they spend online each week that is not for work or school. Describe how you conducted the poll and record the results of the poll in an organized manner below.
Solve for x. -16 = 8x/5
x = 10
x = -10
x = -25
Tony spent $11.52 for some pens that were on sale for $.72 each how many pens did Tony bye
A truck driver drove 120 miles in 1 3/4 hours what is the speed of the truck in miles per hour
How to simplify each expression
2/3(7w + 4) - 1/3 (2w - 1 )
(3-7m) +2(3.5m+ 1)
Density practice
A gas tank hold 50L. If the density of gasoline is 0.7 g/ml how much mass will the tank of gas have
Using distributive property solve 4x39=n
Alan travels 3/10 of his journey car. 3/20 by bicycle 1/12 by boat and walks the rest what fraction of the journey did he walk? If the journey is 140 km,how many km did he walk?
find the sum of the first 13 terms in the series -5+1+7...+67
Henry bought a movie tickets for himself and 6 of his friends.each movie ticket cost $7.85.How much money did Henry spend on tickets?
find a pair of 3 digit numbers that have an estimated difference of 520
Find (18 × 106) + (5 × 104). A) 1.8005 × 106 B) 1.8005 × 107 C) 1.805 × 106 D) 1.805 × 107
how are the perimeters of two similar figures related?
Circle the ordered pairs that are solutions to the inequality y - 2x < - 1.
(1, 0)
(0, 1)
(0, -1)
(-1, 0)
(3, 2)
(-2, -4)
(2, 4)
(-4, 2)
(0, 0)
Please help!
Please help. I don't know how to answer this.
Tasha finished the first draft of her history essay. The teacher said it had to be at least six hundred words long. She counted in her draft and found she had 369. How many more words does she need to meet the minimum words count for the assignment?
The length of a rectangle is twice the width. If the perimeter of the rectangle is 60 units, find the area of the garden.
Set the following: Length = L Width = W
The length is twice the width: L = 2*W or: W = L/2
Perimeter: P = 60ft = 2*L + 2*W
Substituting L for W in the perimeter equation gives:
P = 60ft = 2*L + 2*(L/2) = 2*L + L = 3L
L = 60ft/3 = 20ft W=L/2=20ft/2=10ft
Verify result: Perimeter= P = 60ft = 2L + 2W = 2*20ft +2*10ft = 40ft+20ft = 60ft
The area of the rectangular is: Area = A = Length*Width = L*W = 20ft*10ft = 200 (ft)^2
Hopefully This Helps!!
Final answer:
To find the area of a rectangle when the perimeter is given, determine the dimensions using the relationship between length and width and then calculate the area. In this case, the area of the garden is 200 square units.
Explanation:
The length of a rectangle is twice the width. If the perimeter of the rectangle is 60 units, find the area of the garden.
Let the width of the rectangle be x. Therefore, the length is 2x.
The perimeter of a rectangle is given by 2(length + width), which in this case is 2(2x + x) = 60 units.
Solving for x, we get x = 10. Therefore, the width is 10 units and the length is 20 units. The area of the garden is length x width = 20 x 10 = 200 square units.
The Leukemia and Lymphoma Society sponsors a 5k race to raise money. It receives $55 per race entry and $10,000 in donations, but it must spend $15 per race entry to cover the cost of the race.
Write and solve an inequality to determine the number of race entries the charity needs to raise at least $55,000
(I have no idea how to do this. It's just extra credit but I need it)
3(x+1)-2(3x+7) i need help with this question