Answer:
[tex]N = 6[/tex] so that number becomes divisible by 3, 6 and 9.
Step-by-step explanation:
In Number Theory there is a rule of thumb which states that sum of digits of a multiple of 3 equal 3 or a multiple of three. If we know that [tex]n = 154N38[/tex], then its sum of digits is:
[tex]x = 1 + 5+4+N+3+8[/tex]
[tex]x = 21+N[/tex] (Eq. 1)
We have to determine which digits corresponds to multiples of three, there are four digits:
N = 0
[tex]x = 21+0[/tex]
[tex]x = 21[/tex] ([tex]3\times 7 = 21[/tex])
N = 3
[tex]x = 21+3[/tex]
[tex]x = 24[/tex] ([tex]3\times 8 = 24[/tex])
N = 6
[tex]x = 21+6[/tex]
[tex]x = 27[/tex] ([tex]3\times 9 = 27[/tex])
N = 9
[tex]x = 21+9[/tex]
[tex]x = 30[/tex] ([tex]3\times 10 = 30[/tex])
We get the following four distinct options: 154038, 154338, 154638, 154938. Now we find which number is divisible by 6 and 9 by factor decomposition:
[tex]154038 = 2\times 3\times 25673[/tex]
[tex]154338 =2\times 3\times 29 \times 887[/tex]
[tex]154638 = 2\times 3\times 3\times 11\times 11\times 71[/tex]
[tex]154938 = 2\times 3\times 7\times 7\times 17\times 31[/tex]
It is quite evident that [tex]N = 6[/tex] so that number becomes divisible by 3, 6 and 9.
100 is 10 times what
Answer:
10
Step-by-step explanation:
10 times 10 equals 100
I NEED THIS ASAP whats 1x1.....
Answer:
1
-__-...
0.0
0-0
0_0
Answer:
1
Step-by-step explanation:
Multiply 1 by 1 .
what's the answer? pls help
Answer: -2
I'm not so sure what it means by slope, but because I saw a pattern between x and y (it decreases by 2 every x value and decreases by 4 every TWO x values) values so I would pick -2. BUT I don't know if the answer is -4.
Step-by-step explanation:
Please help I’m really lost!
Answer:
The answer is C
Answer:
the answer is c.......
Select three standard units of the metric system.
liter
meter
centimeter
cubic centimeter
gram
kilogram
liter, meter, and the last one is either gram or kilogram
I don’t know how to do this. Can you help please help me ?
Answer:
sin = -√3/2cos = -1/2tan = √3sec = -2csc = (-2/3)√3cot = (√3)/3Step-by-step explanation:
See the attached picture for a drawing of the angle and its terminal point coordinates. Those are (cos(4π/3), sin(4π/3)), so we have the following trig function values:
sin(4π/3) = -√3/2
cos(4π/3) = -1/2
tan(4π/3) = sin/cos = √3
sec(4π/3) = 1/cos = -2
csc(4π/3) = 1/sin = -(2√3)/3
cot(4π/3) = 1/tan = (√3)/3
_____
Additional comment
It helps to know that 1/√a = (√a)/a. This lets you write the ratios with a rational denominator in each case.
NEED HELP I WILL GIVE U BRAINLIEST+extra points
Points A′, B′, and C′ are the images of 180-degree rotations of A, B, and C, respectively, around point O.
Answer:
35 degrees
Step-by-step explanation:
Answer:
A'O
Step-by-step explanation:
Since A' is just a 180-degree rotation around point O, it didn't change the length at all. Therefore the answer must be A'O.
Which statements are true 25 (0)=25, 25(1)=25, 25+0=25, 25+1=25
uma makes a scale drawing of a patio the drawing below shows the two scales she used to plan two patios of different sizes.
Which shows the correct lengths of side C in both scales?
Answer:
Can you please put the picture in? We need the two scales.
Step-by-step explanation:
Answer:
A
Scale 1:45m ;scale:2:60
a helicopter is 14 meters above a canyon it goes down 20 meters then up 5 write a subtraction sentence, how do you know your answer is correct?
Answer:
14 - 20 + 5
14 - 15 = -1
-1
If you take 14 meters and you go down 20 meters that is 14 - 20
Then, if you go up 5 meters, that is 14 - 20 + 5.
So simplify 14 - 20 + 5.
Simplified: 14 - 15
So the answer is -1 meter
A swuare has an area of 9 cm^2.
Whats the side length
Answer:
3
Step-by-step explanation:
Area of a square= Length*Height
9=3*3
Answer:
3
Step-by-step explanation:
The triangles below are congruent. Which of the following statements must be true?
Answer:BC=DF
Step-by-step explanation:
angles a and b are vertical angles. If mA = (5x – 24)° and m B = (3x + 24),
then find the value of x.
Answer:
The correct answer is x = 24.
Step-by-step explanation:
To solve this problem, we must remember that vertical angles have the same measure. This lets us set up the following equation:
m<a = m<b
If we substitute their values, we get the following:
5x - 24 = 3x + 24
To solve this equation, we can first subtract 3x from both sides of the equation.
2x - 24 = 24
Next, we can add 24 to both sides of the equation.
2x = 48
Finally, we can divide both sides of the equation by 2.
x = 24
Therefore, the answer is x = 24.
Hope this helps!
7. During a person's commute to school, she spends 10 minutes driving 30 miles per hour (mph) and 5 minutes stopped at red lights. (a) (1 pt.) Find the distance of her commute.
Answer:
Total distance = 5 miles
Step-by-step explanation:
Given:
Total time for drive = 10 min = 10 / 60 = 1/6 hour
Time for stop = 5 min
Speed = 30 miles pr hour
Find:
Total distance
Computation:
Total distance = Speed × time
Total distance = 30 × (1/6)
Total distance = 5 miles
Hi so i totally forgot basic algebra; is the difference of 5 and 6 expressed as 5-6 or 6-5
Answer:
6-5 because 6 > 5, so the difference is 1 instead of -1.
Step-by-step explanation:
Answer:
6-5
Step-by-step explanation:
you subtract it correctly
8 X -9 + 6 x -8
HELP
Answer:
14x -17
Step-by-step explanation:
The vet says that Lena’s puppy will grow to be at most 28 inches tall. Lena’s puppy is currently 1 foot tall. How many more inches will the puppy grow?
Answer:
Lena's puppy has 16 more inches to grow.
Step-by-step explanation:
One foot is 12 inches. 28 - 12 = 16
im just timed on this, Just a lil help plz
Answer:
The answer is 6
Step-by-step explanation:
in the picture you provided. We can clearly see that there are 4 squared and 6 circles
solve using elimination -3x+3y=21 -x-5y=-17
Answer:
(2,6)
Step-by-step explanation:
The game of roulette involves spinning a wheel with 38 slots: 18 red, 18 black, and 2 green. A ball is spun onto the wheel and will eventually land in a slot, where each slot has an equal chance of capturing the ball. a) you watch a roulette wheel spin 5 times and the ball lands on a red slot each time. What is the probability that the ball will land on a red slot the next spin? b) you watch a roulette wheel spin 330 consecutive times and the ball lands on a red slot each time. What is the probability that the ball will land on a red slot on the next spin?
Answer:b
Step-by-step explanation:
If leah has 22 boxes she gives 12 boxes to her mom how many boxes does leah have left
Subtract the amount she gives her mom from the total amount she has:
22 - 12 = 10
She has 10 boxes left.
Choose the comparison statement that is correct
Answer:
what r the options........
The school field trip policy requires 3 adults for every 9 students. If the school orders 360 tickets for a play, how many adults and how many students are there? PLEASE ANSWER QUICK, I WILL GIVE BRAINLIEST!
Answer:
270 students and 90 adults
Step-by-step explanation:
3a=9s a+s=360
a=3s
(3s)+s=360
4s=360
s=90
3a=9(90)
3a=810
a=270
What would A,B,C,D.E be?
Answer:
Between 0-180
Step-by-step explanation:
Cause it is facts first
The soccer team can have no more than 26 players. How many more players can make the team if the coach has already chosen 12 players? Write an inequality where x represents the number of players
that can still be added to the team.
Answer: >14 I think
Explanation:
Using the point (-4,-2), what number goes in the blank?
-5x + 3y =
Put this equation into slope- intercept form. -2x + 3y = 9
Answer:
y = 2/3x + 3
Step-by-step explanation:
In order to put it in slope intercept form (y = mx + b), y needs to be isolated.
Add 2x to both sides:
-2x + 3y = 9
3y = 2x + 9
Then, divide both sides of the equation by 3.
3y = 2x + 9
y = 2/3x + 3 is the equation in slope intercept form
Answer:
Slope-intercept form:
→ y = (2/3)x + 3
Step-by-step explanation:
Given equation,
→ -2x + 3y = 9
Now we have to,
→ Convert this given equation into the slope-intercept form.
The slope-intercept form is,
→ y = mx + b
Let's convert the equation,
→ -2x + 3y = 9
→ 3y = 9 + 2x
→ 3y = 2x + 9
→ y = (2x + 9)/3
→ y = (2x/3) + (9/3)
→ y = (2/3)x + 3
From this slope-intercept form:
→ Slope (m) = 2/3
→ y-intercept (b) = 3
Thus, the answer is y = (2/3)x + 3.
A bucket contains 1.34 hectoliters of water. How many centiliters of water are in the bucket? Use the metric table to help answer the question.
Metric Table
kilo-
hecto-
deka-
unit
deci-
centi-
milli-
1,000
100
10
1
0.1
0.01
0.001
134 centiliters
1,340 centiliters
13,400 centiliters
134,000 centiliters
Answer:
13,400
Step-by-step explanation: since Centiliters are second to last just like 13,400 it is 13,400 just common sense if it's wrong sorry.
Answer:
13,400
Step-by-step explanation:
9x-(-2y)-8x-(-12y) simplify
Answer:
x+14y
Step-by-step explanation:
9x+2y-8x+12y
x+14y
show your work
v/8= 2
Step-by-step explanation:
v/8=2
v=8×2
v=16
16/8=2
Answer:
v = 16
Step-by-step explanation:
v/8 =2
Lets isolate v.
Multiply 8 on both sides.
v = 16
This is a one step equation, so there isn't realy that much to it.
