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.
To learn more about the GCD visit:
https://brainly.com/question/27227228.
#SPJ2
What is the x-coordinate of the point that divides the directed line segment from J to K into a ratio of 2:5? m 4 m ][xz – xı) + x, -4 -2 2 4
Answer:
2
Step-by-step explanation:
im sure its 2 i hope this helps
The crowd at a concert estimated to be 3,500 people. The exact attendance is 3,486 people. What is the percent error?
Answer:
0.4016%
Step-by-step explanation:
Estimated Value = 3,500 people , Exact attendance = 3486 people
We can see that there is a Percentage decrease . So we will apply the formula.
%Decrease = Old Value - New Value /Old Value × 100%
%decrease = 14/3486 %
%Decrease = 0.4016% (Answer)
There’s a drawing and I don’t know how to explain it on it
Sonya had 20 dollars to spend on 3 gifts. She spent 8 1 4 dollars on gift A and 4 4 5 dollars on gift B. How much money did she have left for gift C?
Answer:
6 19/20 dollars
Step-by-step explanation:
Sonya had 20 dollars to spend on 3 gifts.
She spent 8 1 4 dollars on gift A and 4 4 5 dollars on gift B.
Gift A + Gift B + Gift C = $20
Gift C = $20 - (Gift A + Gift B)
Gift A = $8 1/4
Gift B = $4 4/5
Hence:
The amount she had left for gift C is :
Gift C = $20 - ($8 1/4 + $ 4 4/5)
Gift C = $20 - $13 1/20
Gift C = $ 6 19/20
?? anyone know thank you
Answer:
19/20 is the correct answer
Answer:
19/20 quart
Step-by-step explanation:
the denominator should be the same so find some thing that is common to 4 and 5 so 20 and find what 4 in to 20 go 5 times so multiply 5×3=15 and 4×1=4 so add them together 15+4 = 19 so put 19 and 20 together equal 19/20
For a second of sauce 1 and sauce 2 Andrew plans to use 3,180 green peppers and 5,560 hot chili peppers
Answer: Um ok? What are the measurements of the original batches...
Step-by-step explanation:
A school has 320 girls and 250 boys the probability of a girl being left handed is 0.2 the probability of a boy being left handed is 0.1 estimate the amount of left handed people there are in the school
320 girls & 250 boys
0.2 probability 0.1 probability
320 x 0.2 = 64
250 x 0.1 = 25
64 + 25 = 89
There are approximately 89 students in the school that are left-handed.
Answer
89% of the people are left handed
Step-by-Step Explanation
To find this you have to first do 320 x 0.2
320 x 0.2= 64
To find it for boys you have to do 250 x 0.1.
250 x 0.1= 25
SO, the answer is 89%. 64% of girls and 25% of boys
Hope i helped :D
X, Y and Z are three points on a map. Y is 75km and on a bearing of 200° from X. Z is on a bearing of 150°, from Y. Z is due south of X. Calculate the distance between X and Z rounded to 1 DP.
Answer:
The distance between X and Z is approximately 114.9 km
Step-by-step explanation:
The given parameters are;
The distance of Y from X = 75 km
The bearing of Y from X = 200°
The bearing of Z from Y = 150°
The bearing of Z from X = 180°
In triangle XYZ, we have;
∠YZX = 180° - (130° + 20°) = 30°
By sine rule, we have;
(75 km)/sin(30°) = XZ/(sin(130°))
XZ = sin(130°) × (75 km)/sin(30°) ≈ 114.9 km
The distance between X and Z ≈ 114.9 km. to one decimal place.
52,428 divided by 34
Answer:
1542
Step-by-step explanation:
Which polynomial represents the algebra tile configuration shown?
x2 + 3x + 4
x2 + 3x −
−x2 − 7
−x2 + 3x − 4
Answer: I’m pretty sure the answer is D. −x^2 + 3x − 4
Step-by-step explanation:
Answer:-x^2 + 3x - 4
Step-by-step explanation:
Justin set his watch 19 seconds behind, and it falls behind another 1 second every day. How
many days has it been since Justin last set his watch if the watch is 50 seconds behind?
Answer:
31 days
Step-by-step explanation:
Hope this helps!
Brainiest?
Answer:
31 days
Step-by-step explanation:
you have a set number already 19 if every day the watch goes back 1 day 31+19=50
pleaze help
Plot the ordered pair in a coordinate plane. Describe the location of the point. 32. A(1,3)
33. B(0, -3)
34. C(-4,-2)
35. D(-1 1/4, 2)
and explain it if u can
Answer:
Well, there are 4 quadratic spots on the graph. A(1,3) would be in the top right. B(0,-3) would be on the line on the bottom half of the graph. C(-4,-2) would be in the left bottom half of the graph. and D(-11/4,2) would be in the top right. Connect the dots and just say the shape it makes.
Step-by-step explanation:
I NEED HELP WITH ALL 4 I WILL GIVE BRAINLIEST
Answer 1 8.40 precent 2 23.4% 3 16% 4 f 10%
Step-by-step explanation:
i need help
with this
Answer:
Step-by-step explanation:
x=√3, y= 3
x2=120
solve for the exact variable answer
Answer:
60 ?
Step-by-step explanation:
60×2 = 120. .
when you have a x right behind a number that means multiply
Find the sum of the squares of 3, 2, 1, and -1
Answer:
15
Step-by-step explanation:
3 x 3=9
2 x 2=4
1x1=1
-1x-1=1
9+4+1+1=15
Answer:
15
Step-by-step explanation:
The square of 3 is 3 times 3, so 9.
2 times 2 is 4.
1 times 1 is 1.
-1 times -1 is 1, because the negative cancels out.
So, it's 9 plus 4 plus 1 plus 1, so the answer is 15.
Madison has only dimes in her pocket . Which amount of money could she have ?
A.) 46 cents
B.) 67 cents
C.) 50 cents
D.) 28 cents
Answer:
c
Step-by-step explanation:
What is the length of line segment PQ shown below?
How many miles can a car travel on 15 gallons of gas if it travels 28 miles on 1 gallon of gas?
A. 43 miles
B. 270 miles
C. 405 miles
D. 420 miles
need a quick answer please
Answer:
x=7
Step-by-step explanation:
(12x+1))+(5x-3)=117
conbine like terms
17x-2=117
+2 +2
17x=119
/17 /17
x=7
Write the percent as a decimal.
47.63%.
Answer:
.4763
Step-by-step explanation:
A percent can be made into a decimal by moving the decimal two places to the left.
if you help me ilysm
Answer:
The intercepts of a graph are points at which the graph crosses the axes. The x-intercept is the point at which the graph crosses the x-axis. At this point, the y-coordinate is zero. The y-intercept is the point at which the graph crosses the y-axis. At this point, the x-coordinate is zero.
To determine the x-intercept, we set y equal to zero and solve for x. Similarly, to determine the y-intercept, we set x equal to zero and solve for y. For example, lets find the intercepts of the equation \displaystyle y=3x - 1y=3x−1.
To find the x-intercept, set \displaystyle y=0y=0.
y
=
3
x
−
1
0
=
3
x
−
1
1
=
3
x
1
3
=
x
(
1
3
,
0
)
x
-intercept
To find the y-intercept, set \displaystyle x=0x=0.
y
=
3
x
−
1
y
=
3
(
0
)
−
1
y
=
−
1
(
0
,
−
1
)
y
-intercept
We can confirm that our results make sense by observing a graph of the equation as in Figure 10. Notice that the graph crosses the axes where we predicted it would.
This is an image of a line graph on an x, y coordinate plane. The x and y-axis range from negative 4 to 4. The function y = 3x – 1 is plotted on the coordinate plane
Figure 12
HOW TO: GIVEN AN EQUATION, FIND THE INTERCEPTS.
Find the x-intercept by setting \displaystyle y=0y=0 and solving for \displaystyle xx.
Find the y-intercept by setting \displaystyle x=0x=0 and solving for \displaystyle yy.
EXAMPLE 4: FINDING THE INTERCEPTS OF THE GIVEN EQUATION
Find the intercepts of the equation \displaystyle y=-3x - 4y=−3x−4. Then sketch the graph using only the intercepts.
SOLUTION
Set \displaystyle y=0y=0 to find the x-intercept.
y
=
−
3
x
−
4
0
=
−
3
x
−
4
4
=
−
3
x
−
4
3
=
x
(
−
4
3
,
0
)
x
-intercept
Set \displaystyle x=0x=0 to find the y-intercept.
y
=
−
3
x
−
4
y
=
−
3
(
0
)
−
4
y
=
−
4
(
0
,
−
4
)
y
-intercept
Plot both points, and draw a line passing through them as in Figure 11.
This is an image of a line graph on an x, y coordinate plane. The x-axis ranges from negative 5 to 5. The y-axis ranges from negative 6 to 3. The line passes through the points (-4/3, 0) and (0, -4).
Figure 13
Answer:
x-intercept
Step-by-step explanation:
The x-intercept is the point on the line that crosses the x-axis, shown in the graph in the picture.
cindy bought a new jacket. Jill bought a jacket that costs 3 times as much as Cindy. Altogether their jackets cost 300$. What equation can be used to represent the problem and how much was each of their jackets?
Answer:
x + 3x = $400
the jacket cost price of Cindy nd Jill is $100 and $300 respectively
Step-by-step explanation:
The computation is shown below:
Here we assume the cindy be x
So the Jill be 3x
Now the equation is
x + 3x = $400
4x = $400
x = $100
So the Cindy jacket cost is $100
And, the Jill jacket cost would be
= 3x
= 3(100)
= $300
Hence, the jacket cost price of Cindy nd Jill is $100 and $300 respectively
A rectangular prism has a length of 10in, a height of 15in, and a width of 8in. What is its volume, in cubic in?
Answer:
1200 inc^3
Length x width x height
10 x 8 x 15= 1200
Solve the inequality and enter your solution as an inequality comparing a variable to a number x+9>13
Answer:
x>4
Step-by-step explanation:
Step 1: Subtract 9 from both sides.
x+9−9>13−9
x>4
I need help please and thank you
Complete the problem. Check your answer in the back of the book.
3. Joseph Lee's check register balance is $8,754.33. He compares his
statement with his check register. He notes that the bank paid him
$2.86 in interest and deducted a $1.20 service charge for bill payment.
He finds these outstanding checks and deposits:
Check 845: $751.75 Check 847: $2,455.89 Deposit: $805.14.
I want to know how to expand x(4 - 3.4y)
Answer:
X(4-3.4y)
= 4x - 3.4xy
Step-by-step explanation:
There are 5 boys and 10 girls in the glee club. Which ratio represents the number of boys in the club to the total number of students in the club? One-third One-half Two-thirds StartFraction 3 Over 1 EndFraction
Answer:
1:3
Step-by-step explanation:
Given that,
Total no. of boys = 5
Total no. of girls = 10
We need to find the ratio of the number of boys in the club to the total number of students in the club.
Total no. of students = no. of girls + no. of boys
= 5 +10
= 15
Ratio,
[tex]R=\dfrac{5}{15}\\\\=\dfrac{1}{3}[/tex]
Hence, the required ratio is 1/3 or one third.
Answer:
1/3
Step-by-step explanation:
Find the inverse of function f.
$() = 9x + 7
OA /--) = 7x + 9
OB. 1 (1) = = -1
Oc. 7-1() = -98
OD. () = gr - 1
7
Answer:
C) f-1(x) = -9x - 7 the inverse of multiplication is division
Complete this table
3°
3
32
38
34
35
36
1
3
9
27
729
3⁴= 3×3×3×3= 81
3⁵= 3×3×3×3×3= 243
hope it helps! please mark me brainliest
thank you!! have a good day ahead..
Answer:
this is 3⁴= 81 and 3⁵= 243