Answer:
First Q: The smallest value for which n works is 11.
Second Q: Smallest here is 17.
Third Q: I don't know this one, sorry!
Fourth Q: n is -10.
Step-by-step explanation:
For the first two questions, find the smallest common factor between the two numbers (subtract the remainder).
Q1:
First, subtract the remainders from the numbers (2149 - 4 = 2145; 1578 - 5 = 1573)
Then, list the factors
2145: 1, 3, 5, 11, 13, 15, 33, 39, 55, 65, 143, 165, 195, 429, 715, 2145
1573: 1, 11, 13, 121, 143, 1573
These two numbers share 11 and 13 in common. 11 is the smaller of these, so it is the smallest value n can work.
Q2:
Repeat the steps from Q1.
12650 - 2 = 12648; 5800 - 3 = 5797
12648: 1, 2, 3, 4, 6, 8, 12, 17, 24, 31, 34, 51, 62, 68, 93, 102, 124, 136, 186, 204, 248, 372, 408, 527, 744, 1054, 1581, 2108, 3162, 4216, 6324, 12648
5797: 1, 11, 13, 17, 31, 187, 341, 527, 5797
These two share 17, 31, and 527 in common. 17 is the smallest of these, so it is the smallest value n can work.
Q4 (I don't know how to do Q3 yet):
2n + 25 = n + 15
Subtract n from both sides
n + 25 = 15
n = 15 - 25
Subtract 25 from 15 to get -10
n = -10
Again, I don't know how to do Question 3 yet. Sorry for the inconvenience! Anyhow I hope the rest of this was helpful!
The least possible natural number n is 11.
Given that, when you divide 2149 by n, the remainder is 4. When you divide 1578 by n the remainder is 5.
What is GCD?The greatest common divisor (GCD) refers to the greatest positive integer that is a common divisor for a given set of positive integers.
Question 1:
First, subtract the remainders from the numbers (2149 - 4 = 2145; 1578 - 5 = 1573)
Then, list the factors
2145: 1, 3, 5, 11, 13, 15, 33, 39, 55, 65, 143, 165, 195, 429, 715, 2145
1573: 1, 11, 13, 121, 143, 1573
11 and 13 are common factors. 11 is the smaller of these, so the smallest n value is 11.
Question 2:
First, subtract the remainders from the numbers
That is, 12650 - 2 = 12648; 5800 - 3 = 5797
List the factors:
12648: 1, 2, 3, 4, 6, 8, 12, 17, 24, 31, 34, 51, 62, 68, 93, 102, 124, 136, 186, 204, 248, 372, 408, 527, 744, 1054, 1581, 2108, 3162, 4216, 6324, 12648
5797: 1, 11, 13, 17, 31, 187, 341, 527, 5797
17, 31, and 527 are common factors. 17 is the smaller of these, so the smallest n value is 17.
Therefore, the least possible natural number n is 11.
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Simplify each exponential expression using the properties of exponent and match it to the correct answer
Answer:
Step-by-step explanation:
3^-3*2^-3*6^3 = 1
last one=2
2nd one =1/2
Answer:
I cant see your question clearly
Step-by-step explanation:
Convert the following repeating decimal to a fraction in simplest form.
.53
Sarah peeled 84 oranges in 7 hours. At that rate, how many oranges would she peel in 15 minutes?
HELP PLEASE!
An hour before show time, only 108 people are seated for a musical performance. According to the ticket sales, 97% of the people have yet to arrive. How
many tickets were sold for the musical performance?
Answer:
3600 tickets were sold for the musical performance.
Step-by-step explanation:
Given that:
Number of people seated for musical performance = 108
Percent to people to arrive yet = 97%
It means that the people who have already come are 3%.
Let,
x be the number of tickets sold.
3% of x = 108
[tex]\frac{3}{100}x=108\\[/tex]
0.03x = 108
Dividing both sides by 0.03
[tex]\frac{0.03x}{0.03}=\frac{108}{0.03}\\x=3600[/tex]
Hence,
3600 tickets were sold for the musical performance.
Johnny left his house early in the morning for a run. he ran 2 miles north, 6 miles west, 3 miles north, 10 miles south, 8 miles east, and then 2 miles west. what distance did he run?
The total distance ran by Johnny after he left the house is D = 31 miles
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as D
Now , the value of D is
Substituting the values in the equation , we get
Let the total distance ran by Johnny be D = ran 2 miles north, 6 miles west, 3 miles north, 10 miles south, 8 miles east, and then 2 miles
So , D = 2 + 6 + 3 + 10 + 8 + 2
On simplifying the equation , we get
D = 31 miles
Hence , the distance is D = 31 miles
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Is 3 a solution to 4x - 3<5?
Answer:
To solve this
4x-3<5
4x<5+3
4x<8
x<8/4
x<2
so no, three is not a solution
Step-by-step explanation:
Answer: No
Step-by-step explanation:
X = 3
Replace the variable X with 3
4 x 3 - 3 (less than or equal to) 5
4 x 3 = 12 - 3 = 9
9 is not equal to or less than 5, thus 3 is NOT a solution
There were 45 runners to start a race. In the first half of the race 2/3 of them dropped out. In the second half 2/5 of the remaining runners dropped out. How many runners finished the race?
Answer:
18 racers finished.
Step-by-step explanation:
In the first half, 30 racers dropped out, because 2/3 of 45 is 30. In the 2nd half, 12 racers dropped out, because that is 2/5 of 30. So, in the end, 18 racers finished. (I might have done this wrong i did my best)
please help me with triangle angles. due today !
Answer:
12
Step-by-step explanation:
8x-1+3x+4+3x+9=180
14x+12=180
14x=180-12
x=168/14
x=12
Answer:
8x-1+3x+9+3x+4=180
8x+3x+3x=180+1-9-4
14x=168
x=12
Step-by-step explanation:
What are the y values for the equation : y=0X-4 if x=-3
Note: Your equation expression seems a little unclear. So, I am assuming that your expression is
y = x - 4
The solution steps would anyway still clear your concept so that no matter what you can solve whatever the expression it is because the procedure remains the same.
Answer:
The value of y = -7 if x = -3
Step-by-step explanation:
Assuming the given the expression
[tex]y = x - 4[/tex]
Given that we have to find the value of y if x = -3.
so substituting x = -3 in the equation
[tex]y = x - 4[/tex]
[tex]y = (-3) - 4[/tex]
[tex]y = -3-4[/tex]
[tex]y = -7[/tex]
Therefore, the value of y = -7 if x = -3
The graph of the equation y = x- 4 is also attached below.
Natasha used 75 beads to make a necklace
for her sister. Of the 75 beads, 25 were square.
The rest of the beads were round. What is the
ratio of round to square beads on the necklace?
Answer: 2:3
Step-by-step explanation:
25/75 beads are square. Thus, 1 out of every 3 beads (1/3) is square. With this information, 2/3 of the beads are round because 1 - 1/3 = 2/3.
This means that the ratio of round to square beads is 2:3.
PLEASE HELP, THIS IS A BENCHMARK. WILL GIVE BRAINLIEST!
Use the description of AABC below to solve Parts A and B.
m
Part A: Which of the following is the value of x?
A. x = 10
B. x= 5
B. x = 4
D. x = 2
Part B: Order the sides of ABC from shortest to longest. Drag and drop the displayed choices to order.
Can I get help with 3 through 5
Answer: 3 is -4
Step-by-step explanation:
50 – 5(4.3 – 1.3) ÷ 0.5
Answer:
(0.5, 1.3)(0.5, 1.3)
Step-by-step explanation:
Given equations are:
As we can see that the given equations are linear equations which are graphed as straight lines on graph. The solution of two equations is the point of their intersection on the graph.
We can plot the graph of both equations using any online or desktop graphing tool.
We have used "Desmos" online graphing calculator to plot the graph of two lines (Picture Attached)
We can see from the graph that the lines intersect at: (0.517, 1.267)
Rounding off both coordinates of point of intersection to nearest tenth we get
(0.5, 1.3)
Hence,
(0.5, 1.3) is the correct answer
Keywords: Linear equations, variables
Find the distance between (3,4) and (3,9) 
Answer:
5
Step-by-step explanation:
x values are equal, so 9-4 = 5
will give brainliest
Which of these options are linear?
Answer:
B table
Step-by-step explanation:
The B table is a linear table because with each x value, the y value is moving steadily with addition/subtraction. Table A is moving steadily with multiplication.
WORTH 25 POINTS!!!!! Three times as many adults as students attended a game. The total attendance was 480. If 3x + x = 480 models this situation,
which two statements are true?
A)
3x = number of students
B)
x = number of adults
480 - X= number of adults
D)
360 adults attended.
E)
200 children attended.
Answer:
B x= number of adults 480-x = number of adults
What is the measure (in radians) of central angle in the circle below?
5 cm
0
2 cm
radians
Answer:
2.5
Step-by-step explanation:
what is the sqaure root of 38
Answer:
The square root of 38 is 6.164Step-by-step explanation:
I hope it helps you ❤❤Trevor has 3 2/5 pieces of cake left over. If she wants to split it between her and her 9 friends, how much will each
person get?
Answer:
17/50.
Step-by-step explanation:
If we convert 3 2/5 into an improper fraction, we get 17/5.
If you don't read the question carefully, it's easy to think that the answer would be 17/5 ÷ 9. However, this is wrong.
The question says "her AND her 9 friends," so there are 9+1=10 people total.
Thus, the answer would be
17/5 ÷ 10 = 17/5 * 1/10 = 17/50.
please help me with these
Answer:
#1
106/175
#2
4 1/3
#3
3 3/4
#4
10 3/8
#5
1/6
1.3.4b - What is the area of the composite polygon below? Be sure to include
proper units.
20 ft
12 ft
7 ft
8 ft
8 ft
34 ft
Caroline needed to get her computer fixed. She took it to the repair store. The
technician at the store worked on the computer for 2.75 hours and charged her $114
for parts. The total was $320.25
Answer:
i need this for a challenge
Step-by-step explanation:
−7×7+9× −1/−1 = ?
evaluate?
Answer:
-40
Step-by-step explanation:
-7 x 7 + 9 x (-1) / (-1)
-49 + 9 x (-1) / (-1)
-49 - 9 / (-1)
-49 + 9
= -40
The volume of the world's oceans is nearly 1.5⋅10^9 cubic kilometers. Write this number in scientific notation.
Answer:
"The World Ocean." The Columbia Encyclopedia. CD-ROM. 2007, 6th Ed. New York: Columbia University Press. "The World ocean has an area of about 361 million sq km (139,400,000 sq mi), an average depth of about 3,730 m (12,230)
Viau, Elizabeth Anne. World Builders: Water on Earth. California State University Los Angeles. 2003.
There are two origins of water: comets (extraterrestrial bombardment) and out gassing (condensation of steam from early volcanism). These processes are continuing today.
Step-by-step explanation:
What is the measure of an interior angle of a regular nonagon?
Which inequality is NOT satisfied by this table of values
Answer:
Hope this helps better
Answer; y < x-1
Step-by-step explanation:
What’s the commutative property of addition ?
Answer:
Its when you just swthc your thingy
Step-by-step explanation:
2+4=6
turns into
4+2=6
Answer:
When it is opposite
Step-by-step explanation:
Simplify the expression.
7(9k + 2m)
Answer:
=63k+14m
Step-by-step explanation:
=(7)(9k+2m)
=(7)(9k)+(7)(2m)
x = –8, y = 7, and z = –11. x - (-z)
Answer:
[tex]x - ( - z) = x + z =( - 8)+(- 11) \\ = \boxed{ - 19}[/tex]
-19 is the right answer.What number is half way between 60 and 110
Answer:
85
Step-by-step explanation:
85 is half way between 60 and 110.
Half way means the middle point from where both the point are at equal distance.
Given two numbers as follows:
Number1=60
Number2=110
To calculate a half way number between two number as follows:
=(Number1+Number2)/2
=(60+110)/2
=85
To check weater 85 is half way between 60 and 110
subtract 60 from 85 we get 25
subtract 85 from 110 we get 25
Thus both the numbers are 25 units away from 85.
So, 85 is half way between 60 and 110.
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