Step-by-step explanation:
so, we need to find the smallest common multiple of 36 and 42.
that is the smallest number I can divide both by 36 and 42 without remain.
let's use the method of basic prime factors (we start with the smallest fitting prime number - 2 is a prime number too - and divide as often as possible, then continue with the next bigger prime number, until there is nothing left to divide) :
36 / 2 = 18
18 / 2 = 9
9 / 3 = 3
3 / 3 = 1 finished
therefore,
36 = 2×2×3×3
42 / 2 = 21
21 / 3 = 7
7 / 5 does not work
7 / 7 = 1 finished
therefore,
42 = 2×3×7
to find the smallest common multiple (SCM) we check the maximum length of each prime factor sequence.
and we see 2 times 2, 2 times 3 and 1 time 7.
so, the SCM = 2×2×3×3×7 = 252.
there is no smaller number that can be divided by both 36 and 42 without remain.
so, the rod must be at least 252 cm long to cut it into equally long pieces of either 36 cm (7 pieces) or 42 cm (6 pieces).
Ashley plays in the band. She brought eighty-four snacks to school for her band friends and she has twenty-one friends. How many snacks does each person receive?
Answer:
B. 4 steps
Step-by-step explanation:
[tex]84 \div 21 = 4[/tex]
just divide total number of steps by number of friends to derive the answer.84 snacks
21 friends
to find:how many snacks each of her friend gets.
solution:[tex] \frac{84}{21} [/tex]
[tex] = 4[/tex]
hence, each of her friend will get 4 snacks.
answer= option B
The product of two positive numbers is 9. The reciprocal of one of these numbers is 4 times the reciprocal of the other number. What is the sum of the two numbers?
Answer:
7 and 1 / 2
Step-by-step explanation:
xy = 9
( 1 / x ) = 4 ( 1 / y )
y = 4x
x ( 4x ) = 9
4x^2 = 9
x = 3 / 2
( 3 / 2 ) y = 9
y = 6
6 + ( 3 / 2 ) = 7 and 1 / 2
The two numbers are 3/2 and 6.
What are reciprocal numbers?The reciprocal of a number is this fraction flipped upside down.
Given that, The product of two positive numbers is 9. The reciprocal of one of these numbers is 4 times the reciprocal of the other number.
Let the numbers be a and b.
ab = 9.......(i)
1/a = 4/b
a = 4b..........(ii)
Using (i) in (ii)
4b×b = 9
b² = 9/4
b = 3/2
a×3/2 = 9
a = 6
Hence, The two numbers are 3/2 and 6.
For more references on reciprocal numbers, click;
https://brainly.com/question/15590281
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What is the line that goes through (2,3) and is perpendicular to the line y = -2x + 9?
ASAP :)
M1=-2
M2=1/2
y-3/x-2=1/2
2y=x+8
Which ratio is equivalent to 5:9?
O 10:36
O 10:27
O 20:27
O 20:36
2×5, plz help, need is really bad
Answer:10
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
2×5=10
Hope this helps :)
A video game has five stages. If Will beat 4/5 of the stages, what percent of the game has he finished
Answer:
75%
Step-by-step explanation:
1 = 10%
2 = 25%
3 = 50%
4 = 75%
5 = 100%
a diver dives from a 10m springboard. the equation f(t)=-4.9t^(2)+4t+10 models her height above the pool in seconds. what is her height at 1.5 second after diving off the springboard
Answer:
4.975 meters
Step-by-step explanation:
[tex]f(1.5)= -4.9(1.5)^2+4(1.5) + 10\\\\f(1.5) = -4.9(2.25) + 6 + 10\\\\f(1.5) = -11.025 + 6 + 10\\\\f(1.5) = -11.025 + 16 \\\\f(1.5) = 4.975[/tex]
4.975 meters
-Chetan K
Suppose you write the set {1000, 1001, 1002,..., 2000} in base 10. Then you record this set in base 5 and find the number in the new set whose digits have the least sum. What is this number, written in decimal notation? This number is
Decimal notation is a way of expressing a number in base ten but with a decimal part. Therefore, from the given question;
The number required is 1500The number in decimal notation is 1500.0Number bases is a method of expressing numbers in different notations with respect to the required base. When given numbers in base ten, it is required to divide it by the number base for conversion using long division method so as to convert it to any required base. So converting each element in the given set to base 5, we have:
{1000, 1001, 1002, 1003, 1004,......, 2000}
So that:
i. 1000 converted to base 5, we have:
5 1000
5 200 r 0
5 40 r 0
5 08 r 0
5 01 r 3
00 r 1
⇒ [tex]13000_{5}[/tex]
ii. 1001 converted to base 5, we have:
5 1001
5 200 r 1
5 40 r 0
5 08 r 0
5 01 r 3
00 r 1
⇒ [tex]13001_{5}[/tex]
iii. 1002 converted to base 5, we have:
5 1002
5 200 r 2
5 40 r 0
5 08 r 0
5 01 r 3
00 r 1
⇒ [tex]13002_{5}[/tex]
So then, the set in base 5 is:
{13000, 13001, 13002, 13003, 13004,......, 31000}
To determine the number whose digits have the least sum;
a. 13000 = 1 + 3 + 0 + 0 + 0 = 4
b. 13001 = 1 + 3 + 0 + 0 + 1 = 5
c. 13002 = 1 + 3 + 0 + 0 + 2 = 6
d. 13003 = 1 + 3 + 0 + 0 + 3 = 7
e. 13004 = 1 + 3 + 0 + 0 + 4 = 8
. . . . . . .
. . . . . . .
z. 31000 = 3 + 1 + 0 + 0 + 0 = 4
Thus it would be observed that in base five, 1000, 1500 and 2000 digits gave the least sum of 4, so then:
[tex]\frac{1000+1500+2000}{3}[/tex] = 1500
The number is 1500The number in decimal notation is 1500.0Visit: https://brainly.com/question/25112081
Answer:
I think its 1500
Step-by-step explanation:
1500
What is the slope of the line?
Answer:
thanks
Step-by-step explanation:
The graph of a quadratic function has y-intercept 10 and one of its x-intercepts is 1
Answer:
c = 10
Step-by-step explanation:
For quadratic
y = ax^2 +bx +c
the y-intercept is c.
c = 10
_____
The y-intercept is the value of y when x=0. Using x=0 reduces the equation to ...
y = c
SOMEONE, PLEASE HELP!!! I'll mark brainliest for the fastest, correct answer. I'm giving 15pts!
Evaluate P(6, 2).
Answer: Permutation is 30
Step-by-step explanation:
there is a sale of soft drinks, so four stores are competing with each other. which store offers the best buy ?
store A:12 pack for 3.00
store B: 22 packs for 5.50
store C: 18 pack for 4.75
store D: 36 pack for 8.00
( ill give brainly to whoever answer first w an explanation)
Answer:
desculpa,mais eu preciso de ponto para ajudar meu irmão
I need help with this and thought if any of you guys can help
Answer:
not enough info .
Step-by-step explanation:
sorry it needs more info
A sixth grade class has 12 boys and 24 girls.
For every 2 boys, there are 4 girls. Do you agree with this statement? Explain.
Answer:
Yes
Step-by-step explanation:
The best way to solve this question is to use ratios. The first ratio to make is 12:24. This represents how there are 12 boys for 24 girls. Ratios remain equivalent as long as both sides of the ratio are simplified by the same number. So, you can divide both sides by 6. When you divide both sides you get 2:4. Therefore, there are 2 boys for 4 girls.
42x14.2 what is the answer and steps
Answer:
I hope this helps
100 POINTS IF U GET THIS RIGHT!
Answer:
The y-intercept is 4.
Step-by-step explanation:
Our equation: y = mx + b
m = slope
b = y-intercept
=> Now, let's compare:
=> y = mx + b = y = -7x + 4
We can tell that b = 4
Hoped this helped.
[tex]y =-7x +4 \\\\\text{ The above equation is in a form of y=mx+b, where b is the y-intercept}\\\\\\\text{Hence the y-intercept of the given equation is}~ 4.[/tex]
Simplify the expression.
Answer:
[tex]21x^{2}[/tex]
Step-by-step explanation:
It would be 3x*7x
3x*7x
=21x*x
=[tex]21x^{2}[/tex]
Answer:
21x^2 ( twenty-one x squared)
Step-by-step explanation:
If there are 1000 grams in a kg and 455 grabs in a pound, how many pounds are there per kg
Answer:
The answer is 0.45359237.
Step-by-step explanation:
I assume you are converting between kilogram and pound.
Answer:
2.20462
Step-by-step explanation:
1000 / 455 = 2.20462
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Answer:
Zara ate 50 almonds last week
Step-by-step explanation:
part to whole ratio is 50 : 100
150 divided by 2 is 75
100 divided by 50 is equal to 2
Zara ate 50 almonds last week
pls mark brainliest if this helped :)
A stadium has 35,000 seats. 4% of the seats have cushioned backs. How many seats are NOT cushioned in the stadium?
Answer:
1400
Step-by-step explanation:
30 x 50 x 60 - 100 +150
Questlon 21 of 25
What are the vertex and x-intercepts of the graph of the function given below?
- 2x - 24
[tex] - 2 \times - 24 = - 2( \times + 12[/tex])
i'll mark brainiest if right answer
Answer: x=2 y=18
Step-by-step explanation
What is the equation, in slope-intercept form, that relates the cost compared to the miles traveled for a Green Cab?
Step-by-step explanation:
Red taxi : y = 2x + 2
Green taxi : y = x + 5
Y are the costs of a ride, X are the miles of a ride.
The y-intercepts are the cost of just getting into a cab.
So, that is $2 for a red cab and $5 for a green cab.
Every mile with a red cab costs $2, while every mile with a green cab costs $1.
Hope this helps :)
what is the value of m in the figure below?
==========================================================
Explanation:
First we'll need the length of segment BD, which I'll call x for now. The similar triangles allow us to set up the proportion below to solve for x
AD/BD = BD/DC
13/x = x/4
13*4 = x^2
52 = x^2
x^2 = 52
x = sqrt(52)
Segment BD is exactly sqrt(52) units long.
------------
Now focus your attention on triangle BDC. We'll use the pythagorean theorem to find BC
(BD)^2 + (DC)^2 = (BC)^2
( sqrt(52) )^2 + ( 4 )^2 = ( m )^2
52 + 16 = m^2
68 = m^2
m^2 = 68
m = sqrt(68)
m = 8.2462 approximately
m = 8.2
Evaluate [tex]\frac{15}{k}[/tex] when k =3
What are the integer solutions to the inequality below?
[tex]10 \leq 2x \leq x+7[/tex]
Here's ur perfect answer
What is 2 raised to the fourth power?
Answer:
16
Step-by-step explanation:
2x2x2x2 = 16
NEED HELP show your work
Simplify the expression √8x^5 / z1
Answer:
3/4
Step-by-step explanation:
Carbon-14 has a half-life of 5730 years. How long will it take for 180 grams to decay to 100 grams?
Answer:
3185
(I'm not sure if it's correct, if it's wrong I apologize in advance.)
