Answer:
6
Step-by-step explanation:
To figure out what needs to be multiplied, we need to find the least common denominator. By finding this, we know that what we multiply the equation with will be a multiple of each denominator, meaning that there will be no fractions left.
We can find the least common denominator by listing multiples of each fraction, and finding which one is the smallest but still in each list.
3: 3, 6, 9, 12...
2: 2, 4, 6, 8...
6: 6, 12, 18, 24...
We can notice that 6 is the lowest number in each list. Therefore, 6 is our least common denominator, and if we multiply by 6, the fractions will be removed.
Answer:
6
Step-by-step explanation:
I took the quiz and got it correct.
Quesdon 8 of 10
Which of the following is a polynomial?
Answer:
B
Step-by-step explanation:
It has two or more terms.
a colleague needs to move a 500 pound object that's on a lever. the fulcrum is 6 inches from the object. If your colleague weighs 180 pounds how far will your colleague need to be from the fulcrum to move the object? Use the formula B = (P x A) ÷ W, and round your answer to two decimal places.
Answer:
Step-by-step explanation:
The easier way to figure this is by using the concept of torque in physics. If the torque of the man is greater than that experienced by the box, the lever will tilt in the man's favor (in other words, he will move down and the box will be lifted). Torque is found by multiplying the perpendicular force by the length of the lever arm. Because we want the man's torque to be greater than the box's torque, the inequality is:
[tex]\tau_{man}>\tau_{box}[/tex] and
[tex]180r>500(.1524)[/tex] That decimal is 6 inches in terms of meters.
180r > 76.2 so
r > .42 meters or `16.67 inches. The man has to sit at a distance greater than 16.67 inches in order for the box to be lifted by the lever.
rachel rides her bicycle due east at 9 miles per hour amos rides his bicycle due north at 12 miles per hour if they left from the same point at the same time how far apart will they be after 1 hour
The distance between Rachel and Amos after one hour is 15 miles.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Distance travelled by Rachel after one hour = 9 mph * 1 h = 9 miles
Distance travelled by Amos after one hour = 12 mph * 1 h = 12 miles
Let x represent the distance between Rachel and Amos, hence:
x² = 9² + 12²
x = 15
The distance between Rachel and Amos after one hour is 15 miles.
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Using the Pythagorean Theorem, they will be 15 miles apart after one hour.
What is the Pythagorean Theorem?The Pythagorean Theorem relates the length of the legs [tex]l_1[/tex] and [tex]l_2[/tex] of a right triangle with the length of the hypotenuse h, according to the following equation:
[tex]h^2 = l_1^2 + l_2^2[/tex]
For this problem, considering their directions, their distance is the hypotenuse of a right triangle of legs 9 miles and 12 miles, hence:
[tex]d^2 = 9^2 + 12^2[/tex]
[tex]d = \sqrt{9^2 + 12^2}[/tex]
d = 15 miles
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One number is six times another number. Their difference is 35. Whàt are the two numbers?
Answer:
7 and 42
Step-by-step explanation:
The difference 35 is actually equivalent to 5 units if you draw it out into a model, thus 35 divide 5 is 7 and the other number is 7x6 which is 42
can i get some help please
Answer:
28.26
Step-by-step explanation:
We want to find the area of the circle shown.
We can calculate the area of a circle using the formula A = πr²
where r = radius
The circle shown has a given diameter of 6
We want the radius.
To convert diameter to radius simply divide the measure of the radius by 2
So radius = 6 / 2 = 3
Now to find the area we simply plug in the value of the radius into the area of a circle formula
Area of a circle: A = πr²
r = 3
( Note that the question says to use 3.14 for π )
So π = 3.14
* Substitute values *
A = (3.14)(3)²
3² = 9
(3.14)(9) = 28.26
A = 28.26
And we are done!
{(3,1),(-2,-1),(-3,2)}
Domain:
Range:
Answer:
Domain { -3,-2,3}
Range{ -1,1,2}
Step-by-step explanation:
The domain is the input
Domain { -3,-2,3}
The range is the output
Range{ -1,1,2}
100 points for you if you help me
Answer:
see below
Step-by-step explanation:
It is given that m<A +m<B = m<B + m<C. We can subtract angle B from each side using the subtraction property of equality. That leaves m<A = m<C We can use the symmetric property so that m<C = m<A
Answer:
[tex]thank \: you[/tex]
Find the perimeter of the square. Be sure to write the correct unit in your answer.
21 yd
Perimeter is the distance around the outside.
A square has 4 equal sides:
Perimeter = 21 x 4 = 84 yards
Answer: Perimeter = 84 yd
Explanation:
Perimeter of square = 4 × side
Side = 21 yd
Perimeter = 4 × 21
= 84 yd
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2 plus 2 is 22???????
Answer:
NO
Step-by-step explanation:
Simplify the following equation
4−8÷2+3
Hi there!
»»————- ★ ————-««
I believe your answer is:
3
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Simplifying...}}\\\\4-8\div2+3\\\\---------------\\\text{Follow PEMDAS:}\\\\\\\rightarrow4-8\div2+3\\\\\rightarrow 4 - 4 + 3\\\\\rightarrow 0 + 3\\\\\rightarrow \boxed{3}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
When f(x)=4, what is the value of x?
O zero
O 2
O 3
O4
Answer:
x = 2
Step-by-step explanation:
f(x) is the range and values of x the domain
When f(x) = 4 the corresponding value of x in the domain is x = 2
Answer:
2
Step-by-step explanation:
this might not be the best explanation but this is how I thought of it.
f(0)=4? any number multiplied by zero equals zero so it is not the first answer.
f(2)=4? if f were to be 2, then 2*2 can equal 4 so this is a pretty good answer.
f(3)=4? there isn't a whole number you can multiply with 3 that will make 4 so this is not the answer.
f(4)=4? if f were to be 1 then this could be a possible answer.
so we know that it is either the 2nd or 4th answer. look at the table. if you look, 2 forms into 4 (because they multiplied 2 by 2). but 4 doesn't remain at 4 (because they did not multiply it by 1). so we know the answer is 2.
75.072 divided by 9.6
Answer:
7.82
Step-by-step explanation:
I solved it
HELP ILL HIVE BRAINLIEST
Answer:
I cannot read it
Step-by-step explanation:
Step-by-step explanation:
the answer should be the first option bcos
when we use the table of values
let's just assume the values of x to be 0,1,2and3
so when x= 0
using the given formula y=2x-3
we get
y= 2(0)-3
=0-3
= -3
so we have x=0,y=-3
we do the same for the rest of the values
y=2(1)-3=2-3 =-1
y=2(2)-3=4-3= 1
and on the gragh this gives a straight line
where the values of y are -3,-1,1
and x are 0,1,2
The length of a rectangle is six times its width. If the area of the rectangle is 384^2, find its perimeter.
Answer:
Perimeter, P = 112 meters
Step-by-step explanation:
Let the length of the rectangle be L.Let the width of the rectangle be W.Translating the word problem into an algebraic expression, we have;
L = 6W ...... equation 1
Given the following data;
Area of rectangle = 384 m²To find the perimeter of the rectangle;
First of all, we would determine the dimensions of the rectangle using its area.
Mathematically, the area of a rectangle is given by the formula;
Area of rectangle = LW ..... equation 2
Substituting eqn 1 into eqn 2, we have;
384 = 6W(W)
384 = 6W²
Dividing both sides by 6, we have;
W² = 384/6
W² = 64
Taking the square root of both sides, we have;
W = √64
Width, W = 8 meters
Next, we would find the length;
L = 6W
L = 6 * 8
Length, L = 48 meters
Lastly, we would determine the perimeter of the rectangle using the above dimensions;
Mathematically, the perimeter of a rectangle is given by the formula;
Perimeter = 2(L + W)
Substituting the values into the formula, we have;
Perimeter, P = 2(48 + 8)
Perimeter, P = 2(56)
Perimeter, P = 112 meters
Rebecca can paint a room in 12 hours Guadalupe can paint the same room in 16 hours how long does it take for both Rebecca and Guadalupe to paint the room if they are working together
Which expression is equivalent to 4x +4y
Answer:
C. 4(x + y)
Step-by-step explanation:
Use the distributive property.
4(x + y) = 4x + 4y
Answer:
C. 4(x + y)
Step-by-step explanation:
If you multiply this answer out (4 times x and 4 times y) it is the equivalent to 4x + 4y.
1)An average American human lives about 78.74 years. A survey gave an average time spent going to the bathroom to be 102 minutes per week. If there are 52 weeks in a year, 7 days in a week and 1 day is 24 hours, then how many minutes do Americans spend on the toilet in their life time?
2)How many minutes have you spent on going to the bathroom if you are at the age of 16?
Point A is located at (1,5), and point M is located at (-1, 6). If point M is the midpoint of AB, find the location of point B.
0 (-3,7)
O (0,5.5)
O (3, 4)
O (0,5)
Answer:
(-3,7)
Step-by-step explanation:
point M is 4 left, 2 up from point A. if we go 4 left, 2 up again from point M (-1,6), we get (-3, 7). that is how you get (-3, 7). if we draw a line from B(-3, 7) to A(1, 5), point M is in the middle. please correct me if im wrong, I hope this answer helps.
The location of point B is (-3,7).
What is the midpoint of a straight line?The midpoint of a straight line is that certain point that divides the straight line to equal two parts. If A(x1,y1) and B(x2,y2) be the two terminal points of a straight line, the midpoint will be ((x1+x2)/2,(y1+y2)/2).
How to find the midpoint of a straight line?Point A located at (1,5) and M is located at (-1,6).
M is the midpoint of AB.
Let, the co-ordinate of B is (x,y)
Hence, (1+x)/2 = -1
x = -3
and (5+y)/2=6
y=7
The location of point B is (-3,7)
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Yesterday, the snow was 2 feet deep in front of Archie’s house. Today, the snow depth dropped to 1.6 feet because the day is so warm. What is the percent change in the depth of the snow?
The percent change in the depth of snow from yesterday to today is
%.
find a number which is when added to it's square the sum will be 72.
Answer 8
8+8²=72
8+64=72
72=72
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(4y¹²) (3y)
Please help me
A rectangle has a length of 8ft and a width of 9ft. What is the area of the rectangle, in ft^2?
Answer:
72ft
Step-by-step explanation:
A=wl=9·8=72ft²
E
Homework: 1-7 HW
Simplify the expression.
8(5+t) - 2(t+1)
8(5 + t) - 2(t+1)=
Hi, I'm happy to help!
To simplify this expression, we need to first use the order of operations (Parenthesis, Exponents, Multiplication or Division (Left to Right), and Addition or Subtraction (Left to Right)), then combine like terms. (80,40,57, or 6t, 8t, 98t, or 2t²,7t²,83t²)
When a number is next to parenthesis with no sign, it means we are using multiplication. We can change this expression to look like this, by changing all the numbers next to the parenthesis with no sign, to one with a multiplication sign.
8(5+t) - 2(t+1) 8(5 + t) - 2(t+1)=
8×(5+t) - 2×(t+1)× 8×(5 + t) - 2×(t+1)=
We start with parenthesis and solve everything inside of those, but, because everything inside the parenthesis are unlike terms, we cannot combine them.
Next, We look for any exponents (x²). There are none in this equation.
We then look for multiplication or division. There is a lot of multiplication, so we start solving that from left to right.
8×(5+t) - 2×(t+1)× 8×(5 + t) - 2×(t+1)=
40+8t - 2×(t+1)× 8×(5 + t) - 2×(t+1)=
40+8t - 2×(t+1)× 8×(5 + t) - 2×(t+1)=
(40+8t) - (2t+2)× 8×(5 + t) - 2×(t+1)=
(40+8t) - (2t+2)× 8×(5 + t) - 2×(t+1)=
(40+8t) - (16t+16)×(5 + t) - 2×(t+1)=
(40+8t) - (16t+16)×(5 + t) - 2×(t+1)=
(40+8t) - (80t+16t²+80+16t) - 2×(t+1)=
(40+8t) - (80t+16t²+80+16t) - 2×(t+1)=
(40+8t) - (80t+16t²+80+16t) - (2t+2)=
(40+8t) - (80t+16t²+80+16t) - (2t+2)=
Now, before we do anything else, we need to recheck the parenthesis, now that they have changed. We can further simplify the middle parenthesis by adding together like terms.
(40+8t) - (80t+16t²+80+16t) - (2t+2)=
(40+8t) - ((80t+16t)+16t²+80) - (2t+2)=
(40+8t) - (96t+16t²+80) - (2t+2)=
(40+8t) - (96t+16t²+80) - (2t+2)=
Now, we look for addition or subtraction of like terms. We can now remove the parenthesis, since everything inside of the last two parenthesis is negative, we turn it negative, as long as we only combine the like terms.
40+8t - 96t-16t²-80 - 2t-2=
Once we find like terms, we can rearrange the expression.
(40-80-2)+8t - 96t+16t² - 2t
(-42)+8t - 96t-16t² - 2t
(-42)+8t - 96t-16t² - 2t
(-42)+(8t-96t-2t)-16t²
(-42)+(-90t)-16t²
(-42)+(-90t)-16t²
This doesn't have any like terms, so we don't alter it.
(122)+(-90t)-16t²
We can now remove the parenthesis.
122-90t-16t²
Since there are no more like terms this is the furthest we can simplify. We can then rearrange the expression to be arranged completely correct.
-16t²-90t-42
I hope this was helpful, keep learning! :D
Find the length of the missing side:
Answer:
x = 15.8
Hope this helps...Have a good day!!
A gray crayon is made with 5 mL of black wax for every 6 mL of white wax
Which of the following wax mixtures will create the same shade of gray?
choose 2 answers:
A 10 mL of black wax mixed with 24 mL of white wax
B 15 mL of black wax mixed with 18 mL of white wax
C 35 mL, of black wax mixed with 42 mL of white wax
D 20 mL of black wax mixed with 26 mL of white wax
E 45 mL of black wax mixed with 48 mL of white wax
Answer:
B and C
Step-by-step explanation:
The ratio of black to white is 5:6
The only mixtures that have this ratio is B and C
URGENT HELP PLS AND THANK U
Answer: a= 1
Step-by-step explanation:
a * b = b
Divide by “b” on both sides
a= b/b
“b/b” is equal to 1
a=1
Hope that helps
Lmk if you need a better explanation.
Which of the following is a correct sine ratio for the figure? Question 20 options: A) C = 5∕12 B) C = 5∕13 C) C = 12∕13 D) C = 13∕12
Answer:
B
Step-by-step explanation:
Sine is opposite/hypotenuse. Sine C would be 5/13 so option B is correct.
Angela works a basic week of 40 hours and her hourly rate of pay is $12.50. Calculate her weekly wage.
Answer:
$500
Step-by-step explanation:
Answer:$500
Step-by-step explanation:
To calculate the weekly wage, take the hourly rate and multiply it by the number of hours worked. For this question it would be:
$12.50 x 40
=$500
That is your weekly wage
Hope this helped! <3
What is the surface area of a sphere with a diameter of 14 cm?
1961 cm2
287 cm2
7841 cm2
981 cm2
Answer:
??
Step-by-step explanation:
how
did you get 616? are you even looking at the 4 answers?????
b) The area of 4-walls and ceiling of a room is 118 m². If the room is 6 m long and 4 m high, find the breadth of the room.
Step-by-step explanation:
you can check the answer by putting 5 on the place of B... you will get the lateral surface area
118 m²...
hope it helps