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).
A woman got on the elevator on the fourth floor. The elevator went down 2 11 floors. Then, the woman got off the elevator. On which floor did the woman exit the elevator
Answer:
A woman got on the elevator on the fourth floor. The elevator went down 2 11 floors. Then, the woman got off the elevator. On which floor did the woman exit the elevator
The New York Nicks had a streaky season. They began by winning 4 games in a row, and then they lost 12 games in a row. After those 12 losses, they won every game, finishing with 3 wins for every 2 losses overall. How many games did they win after the first 16 games?
Using proportions, it is found that they won 14 games after the first 16 games.
This question is solved by proportions, using a rule of three.For each 3 games they won, they lost 2.They lost 12 games, all on the losing streak, and won x games.Hence, the rule of three is:
2 losses - 3 wins
12 losses - x wins
Applying cross multiplication:
[tex]2x = 3(12)[/tex]
[tex]x = \frac{36}{2}[/tex]
[tex]x = 18[/tex]
18 wins, being 18 - 4 = 14 after the first 16 games, hence, they won 14 games after the first 16 games.
A similar problem is given at https://brainly.com/question/24372153
Please help fast Find the volume of a right circular cone that has a height of 15-3 ft and a base with a
radius of 13.9 ft. Round your answer to the nearest tenth of a cubic foot.
Answer:
3095.6 ft³
Step-by-step explanation:
Volume cone = 1/3(πr²h)
= 1/3(π(13.9)²(15.3))
= 1/3(π(193.21)(15.3))
= 1/3(2956.113π)
= 985.371π ≈ 3095.6 ft³
-Chetan K
The width of a rectangle measures (7f-4)(7f−4) centimeters, and its length measures (2f+5)(2f+5) centimeters. Which expression represents the perimeter, in centimeters, of the rectangle?
Answer:
Perimeter is 18f+2
Step-by-step explanation:
Given : rectangle having width (7f-4) and length (2f+5)
To Find : Expression For Perimeter = ?
Solution : We know that, perimeter of rectangle is 2(L+B)
-> 2(7f-4+2f+5)
-> 2(9f+1)
-> 18f + 2
I hope this helps.
6. Adlise Leiber started the day with a bank balance of $343.64.
She used another bank's ATM to withdraw $100 cash. The
charge for using the ATM was $2.50. Adlise then used her
card to make purchases of $85.10, $23.95, and $8.47. Find
the balance in her account after the bank processed these
transactions.
Answer:
$123.62
Step-by-step explanation:
85.10 + 23.95 + 8.47 = 117.52
117.52 + 100 + 2.50 = 220.02
$343.64 - $220.02 = $123.62
An item costs $300 before tax, and the sales tax is $9.90 . Find the sales tax rate. Write your answer as a percentage.
Answer:
3.33%
Step-by-step explanation:
9.90/300=0.033
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
Answer number 2 please.
Answer:
Obtuse scalene triangle
Step-by-step explanation:
1. Angles:
-> Acute triangle: all angles less than 60° -> Right triangle: one angle is 90° -> Obtuse triangle: one angle is greater than 90°- Given the information above, we can see that the triangle has one angle that's greater than 90° (129°), so this triangle is obtuse.
2. Sides:
-> Scalene triangle: all sides have different lengths-> Isosceles triangle: two sides have same length-> Equilateral triangle: all sides are the same- Given the information above, we can see that all the sides in the triangle are different, so this triangle is scalene.
Therefore, the answer is an obtuse scalene triangle.
Round 70.74 to 2 significant figures
PLZZZ HELP FOR BRAINLIST
Answer:
I D K GUESS ITS 1 2 4 I GUESS THINKING
Step-by-step explanation:
I NEED TO FINISH THESE BY NEXT WEEK>
Answer:
domain is (2,-3)
range is (1)
Pls tell me the answer and step by step too cus I don’t understand, thank u.
Step-by-step explanation:
if c =-11:
-(-11)-3=11-3=8≥-5.5
so the right answer is -c-3≥-5.5
plz help me fast Simplify t12/t6
Answer:
t^6
Step-by-step explanation:
when dividing exponents, you subtract (refer to exponent rule)
t^12 - t^6 = t^6
can you convert the following
1/8 to decimal and percent
and show work
Answer:
0.125 as a decimal and 12.5% as a percentage
Step-by-step explanation:
1 divided by 8 to get decimal and for percent take the value and multiply it by 100
Brax has $12.00 to spend at the gift shop. He wants to buy a book for $7.50 and a dinosaur for $3.75. What change will Brax have after he purchases these items?
A. $0.25
B. $0.50
C. $1.75
D. $0.75
Step-by-step explanation:
when we buy something, we have to give money away from the amount we possess.
so,
12 - 7.5 - 3.75 = $0.75
so, he is left with the change of $0.75 after these two purchases.
What is the slope of the red line if the green is 2/3
Answer:
a
Step-by-step explanation:
does the graph represent a function? yea or no
Answer:
No
Step-by-step explanation:
Select the values that make the inequality n > 1 true.
(Numbers written in order from least to greatest going across.)
A group of 8 people are sharing jellybeans each person wants 4 jellybeans and each bag has 7 jellybeans how many bags should they order
Answer:
5 bags
Step-by-step explanation:
if eight people each want four jellybeans you can multiply eight by four and get 32 jelly beans
this is the amount they need: 32
so we divide 32 by 7 to find out how many bags we need
32/7 is 4.57... so we need 5 bags because you cannot order half a bag
dividing 0.68÷0.6936
Answer:
0.9804
Step-by-step explanation:
0.68 ÷ 0.6936 = 0.98039215686275
The formula for area of a trapezoid is A =1/2 h(b1 + b2). Express h in terms of A, b1 and b2
Answer:
H is the height
Step-by-step explanation:
A= Area
B= Base
1/2= 0.5
1. During a thunder storm, the amount of rain on the ground increased at an average rate of 0.25
inch per hour. There was already 4.5 inches of rain on the ground when the storm started.
What is the total amount of rain on the ground, in inches, after 8 hours of the storm?
What is the total amount of rain on the ground, in inches, after 8 hours of the storm?
GivenAverage Rate of Rain on Inch Per Hour = 0.25The Rain on the Ground = 4.5Time of Raining = 8 hoursOperationMultiplication and AdditionNumber Sentence(0.25 x 8) + 4.5= 2 + 4.5= 6.5Final AnswerHence, the total amount of rain is 6.5 inches.What is the value of x?
Answer:
x = 9
Step-by-step explanation:
Solve -4=2/7p. solve for p
Answer:
forma exata
p=-1/14
Step-by-step explanation:
p=-0.0714285
a,√361/529 b,√240 c,√72
Answer:
a. 19/28 or .826.
b. 4 times √15 or 15.492
c. 6 times √2 or 8.485
Step-by-step explanation:
Can someone explain letter c?! From where did 13 come from there’s no 13 in the question..
Answer:
Seems correct to me. I color coded the various terms.
Step-by-step explanation:
[13x³ came by adding 9x³ and 4x³]
12x²+8x-5x+9x³+2x²+4x³(9x³+4x³)+(12x²+2x²)+(8x-5x)13x³+14x²+3xJohn rented a jet ski for $199.95. The rental included a rental fee of $75 and an additional charge of $24.99 per hour. How many hours did John rent the jet ski?
Answer:
John rented the jet ski for 5 hours
Step-by-step explanation:
Step 1- Subtract $75 from $199.95 and you should end up with $124.95
Step 2- Divide $124.95 by $24.99 and you should end up with 5
Step 3- John rented the jet ski for 5 hours
Answer:
John rented the jet ski for 5 hours.
Step-by-step explanation:
Take the total cost: $199.95, and subtract $75 because that was included in the cost. You get 124.95. Next you divide $24.99 by 124.95, because $24.99 was the amount he paid per hour, and $124.95 is the amount that he paid in total for all the hours that he jet skied, and you get 5 hours.
Elimination Method: 6x - 4y = -24 and 4x + 5y = -2
Answer:
[tex](-2;-6)[/tex]
Step-by-step explanation:
First of all, let's rewrite the first one after dividing both sides by 2.
[tex]\left \{ {{3x-2y=-12\atop {4x+5y=-2}} \right.[/tex]
Now, let's pick one you want to eliminate.
Eliminating x: Let's multiply the first one by 4, the second by 3, and subtract one from the other. Rest is simply solving an equation in one variable
[tex]4I-3II : 12x-8y-12x+15y = -48 - (-6)\\7y = -42 \rightarrow y= -6[/tex]
Eliminating y: Let's multiply the first by 5, the second by 2, and add them together. Rest is simply solving an equation in one variable
[tex]5I+2II: 15x -10y +8x +10y = -60 +4\\23x = -56 \rightarrow x=-2[/tex]
Determine if the table represents a linear function, quadratic function, or exponential function.
Answer:
quadratic
Step-by-step explanation:
Ahmed invests an amount of $1200 for three years at 6%. Work out its a- Simple interest b- Total amount after three years.
Answer: In 3 years the money earned 18%. If we rounded to 20%, the interest would have been 500(0.20) or $100. Yes, $90 is reasonable.