Answer:
8
Step-by-step explanation:
========================================================
Explanation:
Let's convert the mixed number 5 & 1/3 to an improper fraction.
The formula to use is
a & b/c = (a*c + b)/c
So,
a & b/c = (a*c + b)/c
5 & 1/3 = (5*3 + 1)/3
5 & 1/3 = 16/3
Imagine you had 16 pieces of candy, and imagine you wanted to divide that up amongst 3 friends. Each friend would get 15/3 = 5 whole pieces. There would be 1 candy left over. The 5 and 1 help then form the 5 & 1/3. So this is one way to visualize how 5 & 1/3 is the same as 16/3.
Another way to see why this works is to note how 16/3 = 5.333 approximately. The '5' before the decimal point is the whole part of the mixed number 5 & 1/3; the decimal portion 0.333 is the approximate value of the fractional part 1/3.
------------------
The total length of fencing needed is 16/3 yards. Each section is 2/3 of a yard long. Since both denominators are "thirds", we can ignore them. An equivalent problem is this: "He needs 16 yards of fencing and each section is 2 yards long"
Based on the new problem without fractions involved, we can see that he'll need 16/2 = 8 sections in total.
You should find that dividing (16/3) over (2/3) will lead to 8 as well. You could say this:
(16/3) divide (2/3) = (16/3)*(3/2) = (16*3)/(3*2) = 48/6 = 8
-------------------
An alternative method:
Let's start with 2/3 of a yard. That doubles to 4/3 which is the same as 1 & 1/3. Think of it as 4/3 = (3+1)/3 = 3/3+1/3 = 1+1/3 = 1 & 1/3.
Next, we'll double 1 & 1/3 to land on 2 & 2/3. You simply multiply each '1' by 2 to end up with those '2's shown.
Now we'll double 2 & 2/3 like so:
2*(2 & 2/3) = 2*(2 + 2/3) = 4 + 4/3 = 4 + (1+1/3) = 5 + 1/3 = 5 & 1/3
The act of doubling exactly three times leads to us ultimately multiplying by 2*2*2 = 8, so he needs 8 sections that are each 2/3 of a yard long.
-------------------
Whichever method you prefer, the final answer is 8 sections.
Suzy is shopping at a book sale.The table show prices for paperback books.
Answer:
6,9
Step-by-step explanation:
Got it right on edg
The ordered pair which is also on the graph is (6, 9).
What is the number pattern?A number pattern is a pattern in a series of numbers that represents the common relationship between the numbers.
Suzy is shopping at a book sale.
We can see from the table that when books( x) is 2 then the value of y is 3.
Similarly, x = 4 then y = 6
then we can say that the value of y is the addition of half of the value of x in itself.
So, according to the number pattern;
if we take x = 6
Then 6 + 3 = 9
y = 9
Thus, The ordered pair which is also on the graph is (6, 9).
Learn more about a number pattern:
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what is the slope of 4x + 9y = -9
Answer: The picture is the answer to your question
how many cats can fit in one box?
Answer:
depends on how big the box and cats are
Step-by-step explanation:
I need help please :D
Answer: A
Step-by-step explanation: i am 88% sure
Answer:
I.
Step-by-step explanation:
The half-life of the isotope Osmium-183 is 12 hours. Choose the equation below that gives the remaining mass of Osmium-183 in grams, M.
after n half-lives have elapsed if there was an initial mass of 590 grams before decay. Then, use the equation to determine the mass remaining
after 36 hours have passed
Mn = 590. ()": M3 – 148
D
M, = 590 C4)*-* : My ~ 148
Mn = 590 - ()": Mz - 74
Mi = 590 - (1) * + : Mz - 74
The given equations are incomprehensible, I'm afraid...
You're given that osmium-183 has a half-life of 12 hours, so for some initial mass M₀, the mass after 12 hours is half that:
1/2 M₀ = M₀ exp(12k)
for some decay constant k. Solve for this k :
1/2 = exp(12k)
ln(1/2) = 12k
k = 1/12 ln(1/2) = - ln(2)/12
Now for some starting mass M₀, the mass M remaining after time t is given by
M = M₀ exp(kt )
So if M₀ = 590 g and t = 36 h, plugging these into the equation with the previously determined value of k gives
M = 590 exp(36k) = 73.75
so 73.75 ≈ 74 g of Os-183 are left.
Alternatively, notice that the given time period of 36 hours is simply 3 times the half-life of 12 hours, so 1/2³ = 1/8 of the starting amount of Os-183 is left:
590/8 = 73.75 ≈ 74
Find the lateral surface area of this
cylinder. Round to the nearest tenth.
12cm
3 cm
?] cm2
lateral surface area of this cylinder is 1584/7 or 226.28...cm square.
The lateral area of the cylinder is 226.2 cm² .
What is lateral surface area of cylinder?The lateral surface of an object is all of the sides of the object, excluding its base and top. The lateral surface area is the area of the lateral surface.
For a right circular cylinder of radius r and height h, the lateral area is the area of the side surface of the cylinder:
A = 2πrh.
According to the question
radius of cylinder = 3 cm
height of cylinder = 12 cm
The lateral area of the cylinder:
A = 2πrh
A = 2 * [tex]\frac{22}{7}[/tex] * 3 * 12
A = 226.2 cm²
Hence, the lateral area of the cylinder is 226.2 cm² .
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Aiuda plis necesito para hooooy
Answers:
No sé lo que eso significa, pero ¿puedes marcarme mentalmente?
Step-by-step explanation:
ILL GIVE BRAINLIEST IF YOU SOLVE THIS NO WORK NEEDED
Answer:
cosA = AB/ AD = AC/BC is the correct one.
Explain why the triangles are similar. Then find the value of x.
Answer:
well u can find triangles in the shape and they are the same shape just smaller
Step-by-step explanation:
combine like terms
3x+4x= 7x
14-1= 13
then divide by 7
1.85(keep going) i think THINK this is right im sorry if it isn't
A child standing on a river bank ten feet above the river throws a toward the river at a speed of 12 feet per second . How long does it take before the rock splashes into the river ? Use the equation h=-16t^ 2 +vt+s
PLEASESE HELP
Solve for Х.
16
20
A 25.6
В
6
С
12
D 15
Answer:
12 which is on C
Step-by-step explanation:
use pathogoras theorem
a^2+b^2=c^2
16^2+b^2=20^2
256+b^2=400
b^2=400-256
b^2=144
b= square root of 144
b= 12
Find the area of a circle with radius, r = 88cm.
Give your answer rounded to 3 SF.
The area of the circle is 24300 square centimeters
How to determine the circle area?The given parameters are:
Radius, r = 88 cm
The area is calculated using:
Area = πr²
So, we have:
Area = 3.14 * 88²
Evaluate
Area = 24316.16
Approximate
Area = 24300
Hence, the area of the circle is 24300 square centimeters
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There are twelve doughnuts in a dozen. How many doughnuts are there in seven dozen?
Answer:
84
Step-by-step explanation:
12*7 = 84
Answer:
84
Step-by-step explanation: 12*7 = 84
find the diameter of the circular garden whose circumference is 124.03 cm
Answer:
[tex] \color{magenta} \huge{ \boxed{answer}}[/tex]
Solve for diameterd = 39.48hopefully help:)
Step-by-step explanation:
✨use #CarryOnLearning to help our medical frontliners✨
#CarryOnLearningHelp out a young degenerate
helppppppppppppppppppppppp
Answer:
sorry for this
I m only collecting points
Answer:
T4 - 8 or 4t - 8
Step-by-step explanation:
I don’t know why ur answer is wrong but maybe try t4 - 8 or maybe if it’s the answer try 4t - 8
Hi
8x-4y=-96 in slope intercept form
Answer:
y=2x+24
Step-by-step explanation:
-4y=-8x-96
divide everything by -4
y= 2x +24
Alice purchased a compass from an online retailer. The cost of the compass was $60.00, and was marked 40% off. Sales tax for the item is 7.5%, plus a shipping fee of $5.99. What is the final price, including discount, tax and shipping?
Answer:
$60.00 * 1.075 * .6 + 5.99 = $44.69
when you have multiple fees and discounts and taxes and whatever else, you should follow the order of all operations. multiplication and division before addition and subtraction, and so on.
Step-by-step explanation:
For discount and sales tax you multiply, and for shipping you just add the fee. We will save shipping for last since it doesn't effect the discount or tax. Meanwhile you could apply the discount and tax in any order.
To apply a discount you take the price and multiply by 1 minus the percent in decimal form. decimal form of a percent is basically the number divided by 100. so 40% = .4 then 1 - .4 = .6
to apply a ttax you multiply 1 plus the percent in decimal form. tax is 7.5% so in decimal form that's .075 then 1 plus the tax is 1.075
so now you multiply 60 * .6 * 1.075 and also remember 60 * .6 * 1.075 = 60 * 1.075 * .6 but the answer is $38.70
Now add the shipping, so 38.70 + 5..99 = $44.69
Alex only keeps ten pence coins and some twenty pence coins in
his coin box. He has a total of 18 coins which amounts to £2.30.
Work out the number of ten pence coins and twenty pence coins
in Alex's coin box.
Answer:
In the box. we have 5 20 pence coins and 13 10 pence coins
Step-by-step explanation:
Let the number of 10 pence coins be x and the number of 20 pence coins be y
The sum of these numbers is 18
Thus;
x + y = 18•••••••(i)
Writing the value in pence only
£2.30 * 100 = 230 pence
Now we have that;
total 10 pence coin amount = 10 * x = 10x
Total 20 pence coin amount = 20 * x = 20y
10x + 20y = 230
x + 2y = 23 •••••••(ii)
from ii;
x = 23-2y
Substitute this into i
23-2y + y = 18
23-18 = 2y-y
y = 5
Recall;
x + y = 18
x + 5 = 18
x = 18-5
x = 13
What is the solution of the equation?
1/3y = 4 5/6
A test of a new car results in 370 miles on 10 gallons of gas. How far could you drive on 65 gallons of gas?
Show your work
Answer:
2405 miles
Step-by-step explanation:
370÷10 = 37
37×65 = 2405
It would be very nice if you could evaluate the expression for ya homie
-63/(-7)+6
Answer: =15
Step-by-step explanation: Hope this help :)
-63/-7+6
=63/7+6/1
=9/1+6/1
=9+6/1
=15
is it A, B,C, or D? i need help asap
Answer:
C
Step-by-step explanation:
If x=0 is 2010, you can infer that x=6 would be 2016.
From there, you just have to find the correlating y-value (38).
Help me it’s timed!!!
which of the following is the correct graphical representation and solution to the system of equations
y= 2/3x + 5 and y= x+3
(look at the picture)
another option is (1,4)
Answer:
Option a
Step-by-step explanation:
Given equations are ,
y = ⅔x + 5 y = x + 3 .Here y intercept is 5 and 3 respectively .From looking at options it's clear that the option 1 is correct since it has y Intercepts as 5 and 3 respectively.
Hope it helped !
please HELPPPP ILL MAKE BRAINLIEST
Answer:
36 feet
Step-by-step explanation:
3ft is 1 yard so you would multiply the 12 yards by 3 making 36.
Answer:
36 feet
Step-by-step explanation:
if 3 feet is equal to 1 yard which means by multiplying 12 by 3 (12x3) you would get 36 feet as your answer
Select the correct type of solution set for the system
Answer:
no solution
Step-by-step explanation:
Find the missing length of the triangle.
12
16
?
Please help, 16 points and i’ll mark you as brainlest
I think this is the answer, sorry I am not 100% sure
find the value of x ?
Answer:
Step-by-step explanation:
x = 1.5·42 = 63