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).
need helps i will give brainliest
Answer:
2401
Step-by-step explanation:
two thousand four hundred and one
Step-by-step explanation:
First let's put your equation
[tex]7 {}^{4} [/tex]
This also be phrased as
[tex]7 \times 7 \times 7 \times 7[/tex]
Now let's start solving
[tex]49 \times 7 \times 7 [/tex]
Multiply again and we get
[tex]343 \times 7[/tex]
and finally when we multiply again
[tex]2401[/tex]
Have a good day :) !Ari needs to mix 3 tablespoons of dish soap with 6 tablespoons of vinegar to make a cleaning solution. How many tablespoons of vinegar are needed for each tablespoon of dish soap?
Answer:1 tablespoon of dish soap to 2 tablespoons of vinegar
Step-by-step explanation:
Answer:
1 tablespoon of dat soap to 2 table spoons of dat vinegar.
Step-by-step explanation:
So imagine. If 3 tablespoons of dish soap is to 6 table spoons of vinegar then 3 goes into 6 twice. So, 1 tablespoon of dish soap is it 2 table spoons of vinegar.
another way to look at it:
1tbs dish soap = 2tbs vinegar
2tbs dish soap = 4tbs vinegar
3tbs dish soap = 6tbs vinegar
A pet shelter 42 kittens for adoption at the beginning of the week by the end of the week there were 21 kittens left find the percent decrease
Answer:
50% decrease
Step-by-step explanation:
50% = half
half of 42 is 21
there are 21 left, so 21 (which is half or 50%) were adopted
10 x f(7) +9 x g(-1)=
the answer is 78
Step-by-step explanation:
10×7+9x-1=78
Answer: The answer is -1
Step-by-step explanation:
HELP QUICKKK I NEED THIS FOR SCHOLL ASAP
Answer:
20, 30, 35, 45, 15
Step-by-step explanation:
Just got to multiply all numbers by 5 little guy
Rashad wants to buy a TV which is $235. He already has $35. If he saves $25 a week. For at least how many weeks he has to save money so that he can buy the TV?
right now michael earns an annual salary of $46,023 he is Considering a job offer with an annual salary of $51,145 what is the difference in the monthly pay for these two jobs rounded to the nearest cent
Answer: The job pays $32,400 per year, and the agency fee is equal to 45% of one month's pay.
Solve for x
x/4=4/10
Give your answer as an improper fraction in its simplest form.
Answer:
1.6
hope this helps you!!!!!!!
Step-by-step explanation:
the answer which I have solved is in the image if you have any query then please ask...
How do you write 2,020 in scientific notation?
Answer:
a x 10b or 2.02 x 10³
Step-by-step explanation:
Have a great day!
The standard diameter of a golf ball is 42. 67 mm. A golf ball factory does quality control on the balls it manufactures. Golf balls are randomly measured to ensure the correct size. One day, an inspector decides to stop production if the discrepancy in diameter is more than 0. 002 mm. Which function could represent this situation?.
The absolute value function that could represent this situation is:
[tex]|D - 42.67| = 0.002[/tex]
The absolute value function is defined by:
[tex]|x| = x, x \geq 0[/tex]
[tex]|x| = -x, x < 0[/tex]
It measures the distance of a point x to the origin.The diameter should be of 42.67 mm with an allowance of 0.002 mm. Thus, the absolute value of the difference between the diameter and of 42.67 should be of 0.002, that is:
[tex]|D - 42.67| = 0.002[/tex]
A similar problem is given at https://brainly.com/question/24514895
x³+2x²-15x, x²-7x+12 and 3x²-27 find h.c.f
Answer:
[tex] {x}^{3} + 2 {x}^{2} - 15x \\ x( {x}^{2} + 2x - 15) \\ x( {x}^{2} + 5x - 3x - 15) \\ x(x(x + 5) - 3(x + 5) \\ x((x + 5)(x - 3)) \\ {x}^{2} -7x + - 12 \\ {x}^{2} - 4x + 3x - 12 \\ x(x - 4) + 3(x - 4) \\ (x - 4)(x + 3) \\ 3 {x}^{2} - 27 \\ 3( {x}^{2} - 9) \\ 3((x + 3)(x - 3)) \\ \\ the \: hcf \: = (x + 3)[/tex]
Joshua gets a daily allowance of $30. Each day he spends 60% of it on lunch, 1/2 of the remainder on transport and saves the rest. Calculate the amount he saves each week.
Answer:
$8
Step-by-step explanation:
60% of 30 is 16.
1/2 of 16 is 8.
He has $8 left.
y = x - 15 when x is 2.65
Answer:
y = -12.35
Step-by-step explanation:
Plug in 2.65 for x giving you y = 2.65 - 15
find the length of segment AB
Answer:
96
Step-by-step explanation:
Answer:
96
hope this helps you!!
IF ANYONE IS A GENIUS AT MATH PLZ HELP AND ANSWER MY LATEST QUESTION!! I RLLY NEED HELP, IM LITERALLY GONNA CRY!!! IF YOU CAN'T FIND IT, BELOW IS AN IMAGE OF THE MATH SCENARIOS THAT I NEED HELP WITH!!! PLZ EXPLAIN EACH AND EVERY PART.
Answer:
Step-by-step explanation:
im not a genius at math, but i will give it a shot
scenario 3:
let m= cost per minute for WDE, let b= flat fee for WDE
42.5=50m+b
65=100m+b
subtract the two equations
65-42.5=50m
m= .45 (this is the cost per minute on WDE wireless)
plug in m=.45 into the first equation
42.5=50(.45)+b
b= 20 (this is the fixed monthly fee for WDE wireless)
HTR offers .25 per minute, whereas WDE offers .45 a minute which means that HTR has the cheaper per minute rate
htr has the equation .25x+30
WDE has the equation .45x+30
set them equal to each other and solve for x .25x+30=.45x+20
x= 50 minutes
Scenario 4:
Same deal as last question, let m=cost/movie, b=flat fee
41.25=5m+b
57.5=10m+b
subtract the two equations and solve for m
57.5-41.25=10m-5m+b-b
m= 3.25 (slope)
b=25 (y intercept)
y=3.25x+25
y=3.25(125)+25 = 431.25
3.25x+25=2.75x+35
.5x= 10
x= 20
(5x-3=3x+29 )what is the value of X?
Answer: x=16
Step-by-step explanation:
Move the variable to the left-hand side and change its sign
5 x - 3- 3 x =29
Move the constant to the right-hand side and change its sign
5 x - 3 x = 29 + 3
Collect like terms
2 x = 29+ 3
Add the numbers
2x= 32
Divide both sides by 2
and you get x=16
Step-by-step explanation:
5x - 3 = 3x + 29
5x - 3x = 29 + 3
2x = 32
x = 32/2 = 16
x = 16 ans
therefore, value of x is 16.
HOPE THIS ANSWER HELPS YOU DEAR! TAKE CARE
Manuel ran his mile in 7.332 minutes. How fast is that to the nearest hundredth? Explain your answer.
Answer:
7300
Step-by-step explanation:
this is because 3 is in the hundreds column and is rounded down
because the number behind is 3 so it stays the same some it is 7300
[tex]\\ \sf\longmapsto Speed=\dfrac{1mi}{439.92s[/tex]
[tex]\\ \sf\longmapsto Speed=0.00227mi/s[/tex]
[tex]\\ \sf\longmapsto Speed=0.0023mi/s[/tex]
[tex]\\ \sf\longmapsto Speed=0.002mi/s[/tex]
explain each step please :)
Answer:
u need to use the quadratic formula
Step-by-step explanation:
I think this is about it
find the solution to the following system by substitution
4x+y=40
There are many ways of doing it, but here is mine.
Step-by-step explanation:
x = 6, y = 16
So now you multiply six by four and you will get twenty four plus sixteen, if you add them then you will get forty.
what’s the gcf of 56 and 90
Answer:
2
Step-by-step explanation:
Answer:
2[tex] \: \: \: \: \: \: \: [/tex]
A glass cube of side length 5cm has a mass of 306.25g.
Calculate the density of the glass in glcm3.
You must show you working’s
Answer:
2.45 g/cm3
Step-by-step explanation:
It's a cube, so all the side lengths are the same. It's volume is [tex](5cm)^3[/tex] = [tex]125 cm^3[/tex].
At this point, we apply the definition of density [tex]\rho = \frac mV[/tex] where m is the mass and V the volume.[tex]\rho = \frac{306.25g}{125 cm^3} = 2.45 g/cm^3[/tex]
Use properties to evaluate (-25) HIS O A. – 15 5 O B. 5 C. - OC. 15 O D. 1
Answer:
-15/4
Step-by-step explanation:
Answer: Its - 15/4 or 05/12 but the person above me is correct
Step-by-step explanation:
Solve the system of equations using elimination.
6y−4x=20−4y+3x=−12
(4, 6)
(−4, 6)
(−4, −6)
Answer: A. (4,6)
Step-by-step explanation: 2(6y−4x = 20) 3(−4y+3x = −12) −8x+12y = 40 9x−12y = −36 -8x+9x +12y-12y 40-36 x=4 6y−4x = 20 6y−(4)(4) = 20 6y−16+16 = 20+16 6y/6 = 36/6 y = 6 x = 4, and y = 6.
The solution for the given system of equations is (4, 6). Therefore, option A is correct answer.
The given system of equations are 6y-4x=20 and -4y+3x=-12.
What is a linear system of equations?A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.
Here,
6y-4x=20 ----------(I) and -4y+3x=-12 ----------(II)
Multiply equation (I) by 3, we get
-12x+18y=60 ----------(III)
Multiply equation (II) by 4, we get
12x-16y=-48 ----------(IV)
Add equation (III) and (IV), that is
-12x+18y+(12x-16y)=60-48
⇒ 2y=12
⇒ y=6
So, 6y-4x=20
⇒ 36-4x=20
⇒ -4x=-16
⇒ x=4
The solution for the given system of equations is (4, 6). Therefore, option A is correct answer.
To learn more about the linear system of an equations visit:
https://brainly.com/question/27664510.
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Solve the equation √7x-6=x-2. Identify any extraneous solutions. Show your work
A triangle has an area of 160 square inches and the base of the triangle is 40 inches. What is the height of the triangle?
Answer:
answer-8 Inches.
Step-by-step explanation:
Area of triangle=160 square inches
Base of triangle=40 inches
area of triangle=1/2*base*height160=1/2×40×height
160 =20×height
160/20=height
height=80 inches.
negative three over eight divided by five over nine..
Answer:
- 27/40
Step-by-step explanation:
Jin schedules 496 hours for a project. He plans to work 8 hours each day. How many days will it take to complete the project?
Answer:
62 days
Step-by-step explanation:
496/8 = 62
496/8=62
Hope this helps!
find the highest common factor of 9, 12 and 15
Hello there! :)
The highest common factor of 9, 12, and 15 is 3.
To find the HCF (also called the GCF) of two or more numbers, we list their factors:
9: 1, 3, 9
12: 1, 2, 3, 4, 6, 12
15: 1, 3, 5, 15
Can you see that 3 is their GCF?
Hope this helps!
~Just a determined gal
#CarryOnLearning
[tex]MysteriousNature[/tex]
Polly buys 6.8 yards of fabric for $28.90. What is the cost per yard?
Please help? :)
Answer:
Polly has to pay $0.24 per yard of fabric.
Step-by-step explanation:
You simply have to divide the 6.8 yards by the $28.90 cost. The result is $0.235294118 dollars per yard, but since you can't have only half a cent, we will round it to the nearest hundredths and get $0.24 dollars.
x²+5x+6, x²+x-6 and x²-9 find hcf
Answer:
[tex]x {}^{2} + 5x + 6 \\ {x}^{2} + 3x + 2x + 6 \\ x(x + 3) + 2(x + 3) \\ (x + 3) (x + 2)\\ \\ ( {x}^{2} + x - 6) \\ {x}^{2} + 3x - 2x - 6 \\ x(x + 3) - 2(x + 3) \\ (x - 2)(x + 3) \\ \\ {x}^{2} - 9 \\ (x - 3)(x + 3) \\ \\ the \: hcf \: = (x + 3)[/tex]