Answer:
x=4
Step-by-step explanation:
x
=
4
or
x
=
−
4
Explanation:
First divide throughout by
2
to get
x
2
=
16
Now take the square root on both sides to get
x
=
±
4
.
You may now substitute the values of
x
=
4
and
x
=
−
4
back into the original equation and check that it satisfies the equation which it does.
When you divide 2149 by n, the remainder is 4. When you divide 1578 by n the remainder is 5. What is the least possible natural number n?
and other question
When you divide 12,650 by n , the remainder is 2. When you divide 5,800 by n the remainder is 3. What is the least possible natural number n?
Bonus If you want brainly answer these 2 other questions
n is a natural number. Find the greatest possible value of the GCD of
(2n+25) and (n+15)
Also answer
(2n+25) and (n+15)
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
Which table represents the statement a draft friends at a rate of 32 mph
Answer:
A.
Step-by-step explanation:
Answer: it is the first choice
hiiiiiiiiiiiiiiiiiiiiiiii pls hellllppp :/
Answer:
$15 an hour
Step-by-step explanation:
If we want to find the pay per hour, we divide the pay by the hour
[tex]\frac{22.5}{1.5} = 15\\[/tex]
63.75/4.25 =15
108.75/7.25 = 15
191.25/12.75= 15
Our answer is $15 an hour
Our answer is $15 an hour, or B.
Please I am on a timer
Answer: g=5
Step-by-step explanation:
need help asap!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
I just need some points
Which expression is equivalent to 2(3+a)?
Answers:
A.) : 2a
B.) : 2a+6
C.) 6a+2
D.) 6+a
Answer:
the answer is b
Step-by-step explanation:
here you go mate
step 1
2(3+a) equation/question
step 2
2(3+a) simplify
(2)(3+a)
step 3
(2)(3)+(2a) add them up
answer
6+2a
Water forms______
when it is cold.
Answer:
As a Solid
Step-by-step explanation:
Examples
river icesea icehailA tree has a shadow length of approximately 9 feet. The distance from the tip of the tree to the tip of the shadow is bout 15 feet. How tall is the tree?
Please help!!!!!
Answer:
12
Step-by-step explanation:
if you draw the picture in your copybook you will see that there is a right triangle, we have the Pythagorean theorem i.e c=√a²+b²
15=√9²+x². the trees tall=X
15²=9²+x²
x²= 144
X= 12
hope you will understand
What is the area of a circle with a radius of 5 cm?
Answer:
area of circle = 78.55 cm²
Step-by-step explanation:
area of circle
= πr²
= 3.142 × 5²
= 3.142 × 25
= 78.55 cm²
Mom buys a rectangular rug with an area of 7 1/6 square meters. The length of the rug is 3 1/3 meters. What is the width of the rug?
Answer:
Step-by-step explanation:
Multiply the length by 2 so, 3 1/3 x 2 then subtract that answer from the area, and you have the width
The width of the rectangle given the area and length of the rectangular rug is 4 3/10 meters
Given:
Area of the rug = 7 1/6 square meters
Length of the rug = 3 1/3 meters
Area of a rectangle = Length × width
7 1/6 = 3 1/3 × w
43/6 = 10/3w
w = 43/6 ÷ 10/3
w = 43/6 × 3/10
w = (43 × 3) / (6 × 10)
w = 129/30
w = 4 9/30
= 4 3/10 meters
Therefore, the width of the rug is 4 3/10 meters
Learn more about area of a rectangle:
https://brainly.com/question/14137384
Mikah is proving the base angles of this triangle are congruent.
In isosceles triangle QRS, RT is the angle bisector of ∠QRS. Mikah begins the proof by stating ∠1≅∠2. What is a valid reason for this statement?
A. Definition of Angle Bisector
B. Reflexive Property of Congruence
C. Symmetric Property of Congruence
D. Corresponding angles are congruent.
Answer:
its B
Step-by-step explanation:
What's the circumference of a
circle with a diameter of 15 inches?
(Use 3.14 for pi)
Answer:
47.1 inches
Step-by-step explanation:
circumference is pi times diameter
3.14 times 15 is 47.1
Answer:
Step-by-step explanation:
47.1
I Music at the art museum is divided into six sections that each contain about the same number of tiles there are 2889 tails total in the music about how many tiles are in each section?
Answer:
481.5
Step-by-step explanation:
The music art museum is divided into 6 sections
Each section contains the same timert of tiles
There are 2889 tails total
Therefore the number of tiles in each section can be calculated as follows
= 2889/6
= 481.5
Hence there are 481.5 tiles in each section
Jon thinks of a number between 1 and 10.The cube of the number is equal to the square of double the number.What is number jon is thinking of?
Answer:
4
Step-by-step explanation:
4^2=8 8^2=64
4^3=64
The speed limit sign on the freeway said 110 kilometers per hour, but the speedometer on Cesar's car is calibrated in miles per hour. How fast should Cesar drive his car to avoid a speeding ticket if 1 kilometer is about 0.62 miles?
Answer:
68.2 miles per hour
Step-by-step explanation:
Speed limit = 110 kilometers per hour
1 kilometer = 0.62 miles
110 kilometers = x miles
Cross product
1*x = 0.62*110
x = 68.2 miles
Cesar should drive at 68.2 miles per hour to avoid a speeding ticket
110 kilometers per hour = 68.2 miles per hour
20 POINTS!!!!!
Find the common difference for the following sequence and fill in the missing terms. Show all calculations.
-12, __, 10, __, 32, 43
Answer:
Step-by-step explanation:
It was 12 take away 210 add 20 to 3243
Answer:
1 and 21
Step-by-step explanation:
-12, 1 , 10 , 21 , 32, 43
43-32 is 11
32-11=21
21-11 is 11
10-11 is 1
a bus travels 320 miles in 6.4 hours. if the bus continues at the same rate, which proportion can be used to find m, the number of miles the bus will travel in 9 hours.
Answer:
A
Step-by-step explanation:
Ok first we need to find rate of MILES per HOUR
320/6.4=50
m= miles in 9 hours
9*50=450
Cross Multiplyis your answer
A
(6.4*9)/320m=Hours/miles
Hope this helps!
The number of miles the bus will travel in 9 hours will be 6.4 / 320 = 9 / m. Then the correct option is B.
What are ratio and proportion?A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.
A bus travels 320 miles in 6.4 hours. if the bus continues at the same rate.
We know that speed is the ratio of distance and time. Then we have
The number of miles the bus will travel in 9 hours will be
320 / 6.4 = m / 9
6.4 / 320 = 9 / m
Then the correct option is B.
More about the ratio and the proportion link is given below.
https://brainly.com/question/14335762
#SPJ2
simplify 3 to the 2nd power + 1 x 2
Answer: The answer is 20
Step-by-step explanation:
[tex]\huge\text{Hey there!}[/tex]
[tex]Equation:[/tex]
[tex]\rm{3^2 + 1\times 2}[/tex]
[tex]Simplifying:[/tex]
[tex]\rm{3^2 + 1\times 2}[/tex]
[tex]\rm{= 3\times 3+ 1\times 2}[/tex]
[tex]\rm{= 9 + 1\times2}[/tex]
[tex]\rm{= 9 + 2}[/tex]
[tex]\rm{= 11}[/tex]
[tex]Therefore, your\ answer\ should\ be:[/tex]
[tex]\huge\boxed{\frak{11}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
To get ready for school supply shopping, a store orders 25,000 folders. The store gets another shipment of 15,250 folders the day before the sale.The store sells 32,400 folders the first day. How many folders does it have left after the first day?
Answer:
7,850
I’m pretty sure that’s right, I just added 25,000 and 15,250 together then subtracted the answer from 32,400 and got 7,850
Caroline ran 30 miles in 6 days. She ran the same distance each day. Enter and solve an equation to
determine the number of miles she ran each day. Use x to represent the variable.
Help pls
Answer:
she ran 5 miles each day
Step-by-step explanation:
let the number of miles she ran each day = x
x = 30/6
x = 5 miles
answer the pic below
Answer:
second answer - think im right
Step-by-step explanation:
Answer:
B
The second answer
Step-by-step explanation:
please mark me as brainliest
What are the leading coefficient and degree of the polynomial?
- 4x - 10x +3 - 10x2
Answer:
10x^2-4x-10x+3
leading C is 10
D is 2
Step-by-step explanation:
Find an ordered pair (x,y) that is a solution to the equation.
6x-y=1
ordered pair (1, 5) is a solution to the equation 6x-y=1
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is 6x-y=1
We need to find an ordered pair (x, y) that is a solution to the equation.
any values of x and y when we substitute in the given equation should give the result 1.
Those values are the solutions of equation
Let x=1 and y=5
6(1)-5=1
1=1
Hence, ordered pair (1, 5) is a solution to the equation 6x-y=1
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ2
the number of members in 20 families in a village is given as 6,8,6,3,2,5,7,8,6,5,5,7,7,8,6,6,7,7,6,5
how many families have more than 5 members
step by step explanation please answer this... don't spam
Answer:
2
6,6,6,6,6,6=more than 5
7,7,7,7,7=has exactly 5 members
(3x+15) (2x)
Help pls
Answer:
(
3
+
1
5
)
(
2
)
(3x+15)(2x)
(3x+15)(2x)
Simplify
1
Distribute
(
3
+
1
5
)
(
2
)
3
(
2
)
+
1
5
(
2
)
Solution
3
(
2
)
+
1
5
(
2
)
Step-by-step explanation:
Answer:
[tex]3x+15+2x=180\\5x=165\\x=33\\[/tex]
can somebody please answer this ? Will mark brainliest if you hurry
Answer:
83 calories
Step-by-step explanation:
Answer:
553 calories
Step-by-step explanation:
He will burn 420 for running because 1,080/2.5 = 420. He will burn 133 because 266 times 0.5 equals 133. So a total of 553 when you add the two.
Which is the graph of y -3= -2/3( x+ 6)?
Answer:
y= −2/3x−1
Step-by-step explanation:
There are 12 more boys than girls in the cafeteria. If there
are 22 people all together, how many boys are there?
HELP PLEASE I HAVE 2 HOURS TO FINISH THIS:
match the given slope (m) and y-intercept (b) with the equation of the line in slope-intercept form.
Answer: ↓↓↓
Step-by-step explanation:
Slope intercept formula: y = mx + b
Slope, m = 2, y-intercept, b = 5 ---> y = 2x + 5
Slope, m = 3, y-intercept, b = 5 ---> y = 3x + 5
Slope, m = 5, y-intercept, b = 4 ---> y = 5x + 4
write a equation to find the "n" term of each sequence
1,3,5,7,....
Answer:
a1=1
d=3-1
=2
an=a1+(n-1)d
=1+ (n-1)2
=1+2n-2
2n-1
