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.
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A density graph for all the possible speeds between 0 mph and 320 mph is in the shape of a triangle. What is the height of the triangle?
A. 0.025
B. 0.0125
C. 0.003125
D. 0.00625
The height of the triangle is 0.00625.The correct option is D
To solve this problem
A density graph must have an area under it equal to 1. The range of speeds in this problem, 320-0 = 320, is the base of the density graph, which is shaped like a triangle. By multiplying the base by half of the triangle's height, we can determine the density graph's area.
Let h represent the triangle's height. The triangle's area is then:
1 = (1/2)320h
calculating h:
h = 1 / (320/2) = 0.00625
Therefore, option D is appropriate because the triangle's height is 0.00625.
Learn more about multiplying here : brainly.com/question/28773316
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please help I'll give brainliest
Alice is going to invest some money for 5 years.
She can choose from two options:
Investment A: 2.7% compound interest per annum
Investment B: 2.8% simple interest per annum
Which investment should Alice choose
Answer:
Option AStep-by-step explanation:
Let the amount be P
Compound interest:
P*(1 + 0.027)^5 = P*1.1425 roundedSimple interest:
P*(1 + 0.028*5) = P*1.14Alice should choose compound interest, Option A
Use the bar graph to find the experimental probability of the event.
The experimental probability of spinning a number less than 3 is __.
Please help, I'll give brainliest and 20 points
plz help i need help
Answer:
215 r 12. sorry if i am wrong
Step-by-step explanation:
i think.
what is the equation in slope intercept form of a line that has a slope of -1/2 and a y intercept of 6?
Answer:
y=-1/2x + 6
Step-by-step explanation:
I can't see the picture because it is blurry but i got y=-1/2x + 6
Help plz thx thx for the help
Answer:
A is irrational and I believe the rest are rational
Plz help me out it would be a help
Answer:
question 2 answer. option. a. 55
Step-by-step explanation:
diameter of semi circular window is 35 inches
the radius is 17.5
perimeter of semicircular window =pie x radius
= 22 /7 ×17.5
=55 inches
If the price tag on a trumpet says $104, how much did the store pay for it?
Answer:
I think 1.04
Step-by-step explanation:
7. Triangles CDE and RST are similar triangles. What is
the length of side CD in triangle CDE?
R
40 ft.
32 ft.
20 ft.
T
S
Answer:
CD = 25 ft
Step-by-step explanation:
[tex] \triangle CDE \sim \triangle RST[/tex]
[tex]\therefore \frac{CD}{20}=\frac{40}{32}[/tex]
(Corresponding sides of similar triangles are in proportion)
[tex]\therefore \frac{CD}{20}=\frac{5}{4}[/tex]
[tex]\therefore CD = \frac{5}{\cancel 4}\times \cancel {20} \:\:\blue{\bold{5}} [/tex]
[tex]\therefore CD = 5\times 5[/tex]
[tex]\therefore CD = 25\: ft[/tex]
Answer:
CD = 25 ft
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are equal, that is
[tex]\frac{CD}{RS}[/tex] = [tex]\frac{CE}{RT}[/tex] , substitute values
[tex]\frac{CD}{20}[/tex] = [tex]\frac{40}{32}[/tex] ( cross- multiply )
32CD = 800 ( divide both sides by 32 )
CD = 25
would u like to watch naruto or boruto?
so my question won't delete im gonna put math equations also don't say answer for the equations there just examples 2x3x4x5
also u might get brainliest
Answer:
naruto
Step-by-step explanation:
65
Answer: Naruto for sure
Step-by-step explanation: 2x3x4x5= 120
Can I get some help plz thank u sm
Answer:
x = 72
hope it helps
Jane paid $40 for an item after she received a 20% discount. Jane's friend says this means that the original price of the item was $48. a. How do you think Jane's friend arrived at this amount?
Answer:
The discount is $8
Step-by-step explanation:
Step one
Given data
Jane paid $40 for an item after she received a 20% discount.
Required
The initial cost of the item
Now in other to check whether Jane's friend is correct, let us solve for the initiai cost as follows
Let the initial cost be x
so
20% of 40
20/100*40
=0.2*40= $8
Therefore the discount is $8
hence the original price is
discount+ discounted sale(amount paid)
=8+40
=$48
Express the ratio in it's simplest form:
4n/n^2
Simplify the expression.
4/n
Connor downloads songs for $1.00 each. His cost is shown on the graph, along with Lanise's costs. If Connor downloads 12 songs, how much could he save if he switched to Lanise's plan?
A. $5
B. $12
C. $6
D. $1
The graph isn't included in this answer,but if he downloads 12 songs,his total will be 12 dollars spend, Assuming that Lanise's plan is cheaper than Connor's it would have to be between A,B with a possibility of D.
PLEASE ADD GRAPH
Answer:
C. $6
Step-by-step explanation:
Please Answer
Simplify each radical
Rectangle A has side lengths of 6 cm, and 3.5 cm. The side lengths of
rectangle B are proportional to the side lengths of rectangle A. What could
be the side lengths of rectangle B? *
5 cm and 2.5 cm
3 cm and 1.75 cm
12 cm and 5 cm
Answer:
3 cm and 1.75 cm
Step-by-step explanation:
the numbers have to coincide with the ones being compared in the same amount. like 3×2=6 and its the same with 1.75×2=3.50
Help!!! EASY!!! HELP DUE SOON!!!
how to solve proportions
Answer:
Ratios and Proportions - Proportions - In Depth. A proportion is simply a statement that two ratios are equal. It can be written in two ways: as two equal fractions a/b = c/d; or using a colon, a:b = c:d. The following proportion is read as "twenty is to twenty-five as four is to five."How do I graph it please help
Answer:
Desmos
Step-by-step explanation:
There is a graphing calculator called "Desmos" Look it up type the equation and it will show you
Answer:
you would graph the line at 2
Step-by-step explanation:
because adding 5 to negative three takes it up to 0 then to 2
Plz help and I will give brainliest
A family wants to save $100 each month. They record their progress toward this goal at the end of each month. In January they saved $120 and recorded 1$20 at the end of the month. What should they record for the month of February if they only saved $80 that month? Explain.
If you put anything random as the answer I WILL report
Answer:
200 dollars
Step-by-step explanation:
Answer:
$200.
Step-by-step explanation:
$200 because if they save $120 then $80, $200.
(120+80=200.)
Hope this helps plz hit the crown :D
sorrry for not answering earlier
Billy reads 75 pages of a novel in 50 minutes. At this rate, how many hours will billy spend reading the entire 350-page novel?
Answer:
8hours 45minutes
WORKING OUT
75÷50=1.5
so 1 page would take 1.5 minutes
1.51 x 350= 525 minutes
8.75 hours
Can I pls get help ?
Answer:
Step-by-step explanation:
b is the answer
100 points! I will mark brainliest! Help fast! Random answers will be reported
Answer:
ITS A TRAPEZIUM ;D(-5,2)
Step-by-step explanation:
SEE the IMAGE for Solution
HOPE it HELPS
Have a GREAT DAY
whats the area of 8ft, 6ft and 2ft?
Answer:
96
Step-by-step explanation:
8x6=48
48x2=96
I WILL GIVE YOU BRAINLY PLSS
What is the solution of x + 6 11
C. x –1
PLSS SHOW YOUR WORK PLSS
Answer: x < -1
Step-by-step explanation:
x + 6 < 5
x + 6 = 5
x = -1
x < -1
Now try to prove its correct
A number less than -1 is -2 so we'll try that.
x + 6 < 5
(-2) + 6 < 5
4 < 5
We can tell after substituting -2 for x, that the answer is correct
Oh and I changed the less than sign to an equal sign so it's easier to solve.
Does that help?
The local take-out pizza place sold 50 pepperoni pizzas last month. They sold 6% more pepperoni pizzas this month than last month. How many pepperoni pizzas did they sell this month? *
Answer:
53 pepperoni pizzas
Step-by-step explanation:
To find the value, multiply 50 by 1.06. This gets us 53.
answer?
i have been searching and i still have gotten one please help if you can
Answer:
7 ft/yr
Step-by-step explanation:
Answer:
7 ft/yr!
Step-by-step explanation:
Round to the nearest tenth. 1.598 *
Answer:
1.6
Explanation:
1.598
Round from the nearest tenth
1.59
If the number in the hundredths place is higher then 5 then add one to the tenths place.
1.6
What is the measure of angle F in degrees?
Helppppp meeeee pleaseee