Answers
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.
Related Questions
How many decks have fewer than 1 joker?
Answers
Answer:
32
Step-by-step explanation:
The sum of two nonnegative numbers is 50. What is the maximum value of the product of these two numbers ?
Answers
Answer:
625
Step-by-step explanation:
Let two number be x and (50-x).
The product of numbers be x(50-x).
P = 50x-x²
For maximizing the product,
[tex]\dfrac{dP}{dx}=0\\\\\dfrac{d}{dx}(50x-x^2)=0\\\\50-2x=0\\\\50=2x\\\\x=25[/tex]
So, the maximum product, P = 50(25)-(25)²
P = 625
Hence, the maximum value of the product of these two numbers is 625.
Admission to the fair is $15 each ride cost $3 micah spent a total of $36 he spent all of his money on rides and admission
Answers
Answer:
7
Step-by-step explanation:
Admission cost = $15
Cost per ride = $3
Total amount spent = $36
We can obtain the number of rides thus :
Let number of rides = x
Admission cost + (cost per ride * number of rides) = total amount spent
15 + 3x = 36
3x = 36 - 15
3x = 21
x = 21 / 3
x = 7
Number of rides = 7
How do you identify the bases of any prism?
Answers
Answer:
Look at the names of the prisms above. Each type of prism is named after its base. In the figure on the left, the base is a rectangle, so it is called a rectangular prism. In the middle, the base is a triangle, so the shape is a triangular prism.
Step-by-step explanation:
The liquid outer core of the earth is 2300 km thick. A scale model of the layers of the earth has a scale of 1 inch: 500km. How thick is the liquid outer core of the model?
Answers
Answer:
Earth's outer core is a fluid layer about 2,400 km (1,500 mi) thick and composed of mostly iron and nickel that lies above Earth's solid inner core and below its mantle. Its outer boundary lies 2,890 km (1,800 mi) beneath Earth's surface.
about 2,400 km
Step-by-step explanation:
im sorry i try
Help please
an equation where the slope is 5 and y-intercept is 12.
Answers
Answer: y = 5x + 12
Step-by-step explanation:
y = mx + b, where m is the slope, and b is the y- intercept, then we plug in:
y = 5x + 12
whats the average rate of change from x = -2 to x = 3
Answers
what is bigger 0.125 or 0.0125
Answers
Answer:
0.125 is the answer...........
Answer:
.125
Step-by-step explanation:
.125 is bigger because 0.0125 is less than 0.125, for example:
There is a slice of cake and there is a .125 slice and a .0125, which is bigger?
The curve formed by a quadratic equation is called a...?
Answers
Answer: The curve formed by a quadratic equation is called a PARABOLA
Step-by-step explanation:
Answer:
Parabola
Step-by-step explanation:
Brandy is watching a baseball game. So far, 8 out of 10 batters
have gotten a hit. What is the experimental probability that the
next batter will get a hit?
Answers
Answer:
8/10 aka 4/5 chance
Step-by-step explanation:
if 8/10 batters have hit the ball that means that the chance that the next ball is hit is 8/10, reduced its 4/5 chance or 80%
Please helpp (exponents)
Answers
Answer:
the answer is 27
Step-by-step explanation:
for the show your work all you have to do is write 3x3x3=27
Jordyn is weighing ingredients on a kitchen scale to make bread. The bowl weighs 1½ pounds. He adds several scoops of flour. The total weight of the bowl and the flour is 2¾ pounds. If each cup of flour weighs 5/16 pound, how many cups of flour does he add? Show your work.
Answers
Answer:
Weight of the flour = 5/4 pounds
Number of cups added = 4 cups
Step-by-step explanation:
Weight of the bowl = 1½ pounds
Total weight of the bowl and the flour = 2¾ pounds
Weight of the flour = Total weight of the bowl and the flour - Weight of the bowl
= 2¾ pounds - 1½ pounds
= 11/4 - 3/2
= 11-6/4
= 5/4 pounds
Weight of the flour = 5/4 pounds
If each cup of flour weighs 5/16 pound, how many cups of flour does he add
Number of cups added = 5/4 ÷ 5/16
= 5/4 × 16/5
= (5*16)/(4*5)
= 80/20
= 4
Number of cups added = 4 cups
When I am doing exponential functions, amd need to graph, how do I figure out what the points are for f(x)=3(6)^(x-1)-5? The five is not an exponent.
Answers
Answer:
Attached
Step-by-step explanation:
Ryan keeps his loose change in a milk jug. The jug contains 15 pennies, 10 nickels, 35
dimes, and 20 quarters. If Ryan shakes out one coin, what is the percent probability the
coin will NOT be a dime?
Answers
Find the sum of 16y2 and -5y2
Answers
Answer:
11y²
Step-by-step explanation:
Subtract 5y² from 16y²
Answer:
11y^2
Step-by-step explanation:
16y^2 and -5y^2 are "like terms," so can be added:
16y^2
- 5y^2
-----------
11y^2
Subtract 9a from -15a:
-15a
- 9a
-------
-24a
20 POINTS AND BRAINIEST!
You want to sell lemonade by the park. Different brands of lemonade have different formulas. You want to sell the lemonade that tastes the most “lemony.” You use 4 cups of lemon concentrate and 6 cups of water.
What fraction of the TOTAL mixture is lemon concentrate? What percentage is this?
Answers
Answer:
4/10
Step-by-step explanation:
you add the amount of cups of concentrated lemon plus the amount of water and it is 10. and then it asks for the faction of lemon concentrate out of 10. so it would be 4/10
Hope this helps!!
Help me out with this question (geometry)
Answers
Answer: 19
Step-by-step explanation: it says you already found X so you substitute it into angle m2
Annie has two equal-sized pies. She served 5/8
of the first one and 1.3 of the second one. What fraction shows the total amount of pie left?
Answers
9514 1404 393
Answer:
25/24
Step-by-step explanation:
Annie has 1 - 5/8 = 3/8 of the first pie left.
Annie has 1 - 1/3 = 2/3 of the second pie left.
The total fraction of pie left is ...
3/8 + 2/3 = (3·3 +8·2)/(8·3) = 25/24 . . . of a pie left
Answer:
25/4
Step-by-step explanation:
........................
Find the product. Simplify the answer. 3/5 x 2/4 *
Answers
Answer:
3/10
Step-by-step explanation:
3/5 x 2/4
2/4 = 1/2
3/5 x 1/2
3 x 1 = 3
5 x 2 = 10
3/5 x 2/4 = 3/10
please solve this :)
Answers
Answer:
Step-by-step explanation:
hello :
cos66° = x/14
x= 14× cos66°
x= 14× 0.41
x=5.74
Drive 288 miles on 16 gallons
of gas. ( help?)
Answers
The question you may be trying to ask is "A car can travel 288 miles on a full tank of gas. The gas tank holds 16 gallons. How many miles per gallon does the car get?"
Answer:
The car gets 18 gallons per mile.
288 / 16 = 18
The diameter D of a sphere is 18.6 cm. Calculate the sphere's surface area A
Use the value 3.14 fors, and round your answer to the nearest tenth.
Answers
Answer:
1086.3 cm²
Step-by-step explanation:
surface are of sphere = πD²
SA = (3.14)(18.6 cm)^2
SA = 1086.3 cm²
COLOR THEME
ZOOM
14. At Hudson Middle School, 1 out of 5 students brings their lunch to school each day. If the
school has 245 students, how many students bring their lunch to school each day?
CLEAR
Answers
Find the equation of the line
perpendicular to y = 6x - 2 that
also intersects the point (6, -2).
y=mx+
Answers
Answer:
your answer will be y= -1/6x+(-1)
Step-by-step explanation:
I hope this helps ^_^
plz give answer i gives brainalst
Answers
Answer:
28
Step-by-step explanation:
54 - 26 = 28
PLS HELP FOR 20 POINTS PLEASE THIS IS HARD (i think 20 i dont know i set it to 20 but who knows im new to this) sorry for talking to yall like you know humans and not people on internet
Answers
Answer:
30 feet
Multiply
For every 1 mm on the map there are 200 miles of actual distance (third option)
8 cm, 26.8 cm, and 58 cm (last option)
Step-by-step explanation:
Question 1:
An airplane is 180 feet long. Blake makes a scale model of the airplane at 1:60 of its actual size how long is the model?
If the model is scaled down by 1/60, then the model is 60 times smaller than the actual airplane. Set the model size as "x" and so we can write this ratio.
1 / 60 = x / 180
Cross multiply (multiply 60 and x, and 180 and 1)
60x = 180
x = 3 feet
Question 2:
To produce an enlarged or reduced measure you ____ the scale.
In order to find the measure, you multiply it by the scale factor.
Question 3:
A scale on a map is 1 mm: 200 miles
The question tells us that for every 1 mm, there are actually 200 miles. So the answer is the first option, For every 1 mm on the map there are 200 miles of actual distance.
Question 4:
What are the new dimensions if we expand the triangle below by a factor of 4.
If we multiply by the scale factor, 4, we get
2 * 4 = 8
6.7 * 4 = 26.8
14.5 * 4 = 58
Thus, the answer is 8 cm, 26.8 cm, and 58 cm (last option)
I hope this helps! Feel free to ask any questions!
The midpoint of AB is M(3, -3). If the coordinates of A are (2, -8), what are the coordinates of B?
Answers
Answer:
(4,2)
Step-by-step explanation:
Find the exact value of x.
x=
Answers
Answer:
6.73
Step-by-step explanation:
Remark
There might be an easier way to do this problem. I'm certain I don't know what it is. Begin by called WY = y
Givens
WY = y
WZ = x
XW = 25 - y
XZ = 24
YZ = 7
Equations
x^2 + y^2 = 7^2
(25 - y)^2 + x^2 = 24^2
Solution
x^2 = 7^2 - y^2
x^2 = 24^2 - (25 - y)^2
Since both xs are the same, you can equate the right side of the equations.
7^2 - y^2 = 24^2 - (25 - y)^2 Expand the brackets
7^2 - y^2 = 24^2 - (625 - 50y + y^2) Remove the brackets.
7^2 - y^2 = 576 - 625 + 50y - y^2 Cancel the y^2. Combine 576 and 625
49 = - 49 + 50y Add 49 to both sides
98 = 50y Divide by 50
y = 1.96
Now use y to find x
x^2 + y^2 = 7^2
x^2 = 7^2 - 1.96^2
x^2 = 45.1584
x = 6.72
9514 1404 393
Answer:
x = 6.72
Step-by-step explanation:
The triangles are all similar, so the ratios of corresponding sides are the same.
short leg/hypotenuse = 7/25 = x/24
x = 24(7/25)
x = 6.72
MATH Please help me with this one question please please please
Answers
-3 1/3 , -3 , -1 , - 1/2 , 0 , 1 , 4 , 21/5 , 5 , 6,
heyy I need help! thankss
Answers
Answer:
i need help toooooooo
Step-by-step explanation:
toooooooooooooooooooooooo
Answer:
Step-by-step explanation:
A1 -
angle x and the 52-degree angle are corresponding angles. So, they are congruent to each other.
x = 52 degrees
y = 180-52 = 128 degrees
A2 -
It is the same logic.
A3 -
It is the same logic
A4 -
It is the same logic
A5 -
It is the same logic
A6 -
Alternate interior angles are congruent.
y = 118 degrees
x = 180-118 = 62 degrees