Answer:
Summary. If the equation ends with a false statement (ex: 0=3) then you know that there's no solution. If the equation ends with a true statement (ex: 2=2) then you know that there's infinitely many solutions or all real numbers.
Step-by-step explanation:
To determine whether an equation has one solution, no solutions, or infinitely many solutions, we need to examine the relationship between the variables and the consistency of the equation.
Here are the general guidelines:
1. One Solution: An equation has one solution if the variables can be assigned specific values that satisfy the equation, resulting in a unique solution. When solving the equation, you will find a specific value or set of values for the variables that make the equation true. The solution is often a numerical value or a specific point in a coordinate system.
2. No Solutions: An equation has no solutions if there is no value or combination of values for the variables that satisfy the equation. When solving the equation, you will arrive at a contradiction or an inconsistency. For example, if you encounter a statement like 2 = 5 during the solution process, it indicates that the equation has no solutions.
3. Infinitely Many Solutions: An equation has infinitely many solutions if any value assigned to the variables will satisfy the equation. This typically occurs when the equation is an identity or when there are variables on both sides of the equation that cancel out during the solution process, resulting in the equation always being true. In such cases, any value can be substituted for the variables, and the equation will remain true.
Determining the nature of the solutions often involves algebraic manipulation, simplification, and analysis of the equation to determine if it is consistent, inconsistent, or an identity.
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Patty ran 3 miles in 290 minutes,
Assume Patty maintains a constant
speed. How many minutes will it take
Patty to run 1 mile?
96.666..., or about 97 minutes/every mile.
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Answer:
57 miles in 1 hr
Step-by-step explanation:
171/3 = 57
(4+3c^5)(4-3c^5) combine like terms
Answer:
16 − 9 c ^10
Step-by-step explanation:
Simplify the expression.
Answer:
-9c^10+16
Step-by-step explanation:
(4+3c^5)(4-3c^5) multiply
(16 -12c^5+12c^5-9c^10) combine and rewrite
-9c^10+16
Which of these is it ?..
Answer:
D) all of the above
Step-by-step explanation:
If a line bisects another line, that means the length of the lines are equal
The lines are perpendicular because angle APR is 90 degrees
If the lines are perpendicular, then angle RPB is 90 degrees
What is 3,050 divided by 75 with a remainder?
The quotient from the given division is 46 and the remainder is 50.
Given that, 3500 divided by 75.
The division is one of the basic arithmetic operations in math in which a larger number is broken down into smaller groups having the same number of items.
Here, 3500/75
75|3500|46
300
_____
500
450
______
50
Thus, quotient = 46 and remainder=50
Therefore, the quotient from the given division is 46 and the remainder is 50.
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At 8:00, the temperature was -6°. Three hours later, the temperature dropped 13°. What is the temperature at 11:00?
Answer:
-19 degrees
Step-by-step explanation:
13+6=19
you would need to add the negative since it said dropped in temperature and the temperature was already negative.
If 4 pounds of bologna cost $5.04, how much will it cost
per pound?
Answer:
$1.26
Step-by-step explanation:
To get the cost of one pound you need to divide the cost of 4 pounds by 4.
5.04/4=1.26
$1.26 per pound.
A hot air balloon was flying at an altitude of 300 meters when the pilot decided to land by descending at a rate of 2 meters per second. For which of these rules does y represent the altitude of the hot air balloon, if x represents the number of seconds since the pilot started her landing?
Answer:
The answer is "150 seconds".
Step-by-step explanation:
[tex]\to distance = 300 \ meter\\\\\to speed = 2 \ \frac{m}{s} \\\\\ formula: \\\\ \bold{speed = \frac{distance}{time}}\\\\[/tex]
[tex]time= \frac{distance}{speed}\\\\[/tex]
[tex]=\frac{300}{2}\\\\=150 \ seconds[/tex]
In 2011, the winner of the Peachtree Road Race ran the 7-kilometer event in 28 minutes. What is the runner's unit rate? If the runner completed ina 14-kilometer race, what would be the expected time?
Answer:
unit rate= 4-kilometers/minute expected time= 56 minutes
Step-by-step explanation:
14 kilometers x 4 kilo/minute = 56 minutes
Consider the two different types of elections. Which statement is true?
А
The candidates in the general election earn Electoral College votes.
B.
There is only one primary election but multiple general elections.
с
The general election decides who will run as a presidential candidate.
D
The primary election decides who will be the next president.
Answer:
D
The primary election decides who will be the next president.
Step-by-step explanation:
Answer:
the candidates in the general election earn electoral college vote
Which statement about the ordered pairs (2, −9) and (3, −6) is true for the equation 5x−y3=13?
Neither ordered pair is a solution.
(3, −6) is a solution to the equation.
Both ordered pairs are solutions.
(2, −9) is a solution to the equation.
ABEGGG HELP ME OO , WITH THIS QUESTION , A.S.A.P!!!
(2, −9) is a solution to the equation.
i took the quiz lol
-8x + 3y = 18
-7x – 2y= 25
(-3,-2)
Answer: what is the question though
Step-by-step explanation:
Divide. 495 ÷ 10,000 = _____ 4.950 0.0495 0.4950 0.00495
Answer:
0.0495
Step-by-step explanation:
used a calculator
0.0495.
[tex]495 / 10000 = 0.0495.[/tex]
B)
Find the total distance from Mercury to Earth. HELP!
Answer:
5.67*10^7
Step-by-step explanation:
Since the distance from mercury to venus is 30,700,000, and the distance from venus to earth is 26,000,000, we can simply add these together to find the distance from mercury to earth:
30,700,000
+26,000,000
__________
56,700,000
Now, to convert it to scientific form, just multiply 10^7 (which is the number of digits-1) and 5.67. Therefore, the answer is 5.67*10^7
18-4y=42 help, please?
18-4y=42
4y = 18-42
4y=-24
y = - 6
2÷5 × -4 what Is the answer please?
Answer:
-1 3/5
Step-by-step explanation:
2÷5 × -4
Work from left to right
2/5 * -4
-8/5
-1 3/5
Write four different equations that have –3 as the solution
1 + -4
2 + -5
3 + -6
4 + -7
Answer:
5 + -8
6 + -9
7 + -10
8 + -11
Step-by-step explanation:
Drag a description to match each equation.
Pleaseee I am desperate!
Answer:
y is 4 times x
y is 4 more than x
Step-by-step explanation:
sorry if im wrong
what is 64x64? and I know if you use a calculator =)
Answer:
4096
Step-by-step explanation:
Identify each part of the algebraic expression as the coefficient, constant, or variable.
1. 4x - 12
4 is a(n) ___________________
x is a(n) ___________________
12 is a(n) __________________
2. a + 3b
a is a(n) ___________________
3 is a(n) ___________________
b is a(n) __________________
3. 6y
6 is a(n) ___________________
y is a(n) ___________________
TRANSLATIONS
DIRECTIONS: Highlight and Translate, Then type the final translation.
1. Three less than “x” is equal to 13. ________________________
2. The product of 9 and “m” is 45. ________________________
3. A number divided by 6 is 18. ________________________
4. A number plus 17 is 25. ________________________
5. Seven times a number is 28. ________________________
6. A number divided by 7 is 9. ________________________
7. A number minus 12 is 20. ________________________
8. The quotient of “y” and 3 is 25. ________________________
9. One-fifth of “r” is 15. ________________________
10. Six less than 2 times “y” is 34. ________________________
11. Five more than “n” is equal to 9. ________________________
12. A number increased by 3 is 19. ________________________
13. The difference of “p” and 7 is 30. ________________________
14. Fifteen multiplied by “k” is 75. ___________________________
15. The sum of 3y and 5 is 47. ________________________
Answer:
1. coefficient,variable, constant
2. variable,coefficient,variable
3. coefficient, variable
Translations:
1. x-3=13
2. 9m=45
3. x/6=18
4. x+17=25
5. 7x=28
6. x/7=9
7. x-12=20
8. y/3=25
9. r/5=15
10. 2y-6=34
11. 5+n=9
12. x+3=19
13. p-7=30
14. 15k=75
15. 3y+5=47
The distance required to stop a car varies
directly as the square of its speed. If 250
feet are required to stop a car traveling 60
miles per hour, how many feet are required to
stop a car traveling 96 miles per hour?
Answer:
400
Step-by-step explanation:
The tree in Ravinder’s drawing is 12 cm tall. The ratio of the drawing to the tree is 0.5:15. What is the height of the tree in the park?
Answer:
In cm 360
In meters 3.6
Step-by-step explanation:
had the same question but had to answer in both and got em right
The concentrates were pooled from the blood of about 1000 donors per lot. If the prevalence of HIV in donor blood in the early 1980s was 1 in 3,000, what was the probability that a hemophiliac would contract HIV from a single infusion of clotting factors?
Answer:
The required probability is "0.0003".
Step-by-step explanation:
Throughout the early 1980s, reconstructed coagulation factors concentrate extracted from individual blood was collected by hemophiliacs. The concentrate was obtained from either the blood of approximately 1000 donors every lot. The occurrence of hepatitis C throughout donated blood reached 1 in 3000 throughout the early 1980s.Therefore, the risk though from a single injection of clotting factors, a hemophiliac would contracted hepatitis C seems to be:
= [tex]\frac{1}{3000}[/tex]
= [tex]0.0003[/tex]
Han made some hot chocolate by mixing 4 cups of milk with 6 tablespoons of cocoa
I am really behind and I REALLY need help... I am giving every point I have for this...
Answer:
Get ahead then
Step-by-step explanation:
Step-by-step explanation:
Shorts cost $16
T-shirts cost $10
So:
16x + 10y ≤ 100
or
y ≤ -1.6x + 10
Then graph y = -1.6x + 10 and x = 2
Part b:
Using the graph, we can infer that there are two possible solutions:
A. 3 pairs of shorts and 4 t-shirts
B. 4 pairs of shorts and 2 t-shirts
6a. X = number of apples, Y = number of oranges
So:
x + y ≤ 20
0.24x + 0.8y ≤ 12
x ≤ 20 - y
0.24(20 - y) + 0.8 ≤ 12
= 4.8 - 0.24y + 0.8y ≤ 12
= 0.56y ≤ 7.2
y = 12.9 (You can use twelve because there can't be a fraction of an orange.)
x = 7.14 (again, because of fractions, round to 7.)
Therefore, she got 12 oranges and 7 apples.
Part 2:
Question 1:
Both equations are unbounded.
Question 2:
Both equations are unbounded.
Question 3:
Both equations are unbounded.
Question 4:
Both equations are unbounded.
Give me a moment to add question four's graph.
I NEED HELP PLEASE!!!!!!!!!! O///O
How can you look at the equation of two lines and determine if they will be parallel?
Answer:
If the slope is the same but the intercept is different
i.e.
y=2x+1
y=2x+2
Step-by-step explanation:
If the slope is the same the lines are parallel, but if the y-intercept is also the same the lines have infinite solutions.
Zelie planned for a square pool to have a side length of 28 ft but found that it needs to be 14 ft long to fit in her backyard. She found the change of scale below. StartFraction 28 feet minus 7 over 14 feet minus 7 EndFraction = StartFraction 21 over 7 EndFraction Which is Zelie's error?
Answer:
Step-by-step explanation:
Find the complete question
Zelie planned for a square pool to have a side length of 28 ft but found that it needs to be 14 ft long to fit in her backyard. She found the change of scale below.
Which is Zelie’s error?
Zelie should have divided both numbers by 14.
Zelie should have written the ratio as 28/7.
Zelie should have written the ratio as 14/8.
Zelie should have subtracted 14 from both numbers.
Original length of pool = 28ft
If he found that it need to be 14ft longer then the actual measure = 14th
given equation is;
(28 - 7)/14 - 7 = 14/7
Scale constant = original length/actual length
Scale constant = 28/14
Scale constant = 2
Hence the scale constant is 2
According to the option, Zelei should have divided both numbers by 14.
Answer:
Zelei should have divided both numbers by 14
Step-by-step explanation:
Deal 1: $16.05 for 5 Caramel apples Deal 2: $19.14 for 6 caramel
I need help!!!!!! I only have 5 minutes!!!
use two unit multipliers to convert:
A. 90 yards to inches
Answer:
The yards and the feet will "cancel" out, and you will be left with the answer in inches.
I hope this helps!
Step-by-step explanation: