Answer:
[tex]\therefore 2\dfrac{1}{3} \div \left ( -3\dfrac{2}{3} \right ) = -\dfrac{7}{11}[/tex]
Step-by-step explanation:
The question relates to dividing a fraction by proper and another fraction
The given expression is presented as follows;
[tex]2\dfrac{1}{3} \div \left ( -3\dfrac{2}{3} \right )[/tex]
We rearrange the fractions as improper fractions for easier division as follows;
[tex]2\dfrac{1}{3} = \dfrac{7}{3}[/tex]
[tex]-3\dfrac{2}{3} = -\dfrac{11}{3}[/tex]
Therefore, we have;
[tex]2\dfrac{1}{3} \div \left ( -3\dfrac{2}{3} \right ) = \dfrac{7}{3} \div \left (-\dfrac{11}{3} \right ) = \dfrac{7}{3} \times \left (\dfrac{1}{-\dfrac{11}{3} } \right ) = \dfrac{7}{3} \div \left (-\dfrac{3}{11} \right ) =-\dfrac{7}{11}[/tex]
[tex]\therefore 2\dfrac{1}{3} \div \left ( -3\dfrac{2}{3} \right ) = -\dfrac{7}{11}[/tex]
A cylindrical container contains some sand. If the diameter of the container is 10 inches and its height is 3 inches, about how much sand fits inside the container?
Answer:
251.33in²
Step-by-step explanation:
A cylindrical container contains some sand. If the diameter of the container is 10 inches and its height is 3 inches, about how much sand fits inside the container?
We solve the above question using the formula for Total surface area of a cylinder.
TSA = 2πr (h + r) Square units.
Where
h = Height of the cylinder
r = Radius of the cylinder
Diameter of the container is 10 inches
Hence, radius = Diameter/2 = 10/2 = 5 inches
Height is 3 inches.
Hence, Total surface area =
2 × π × 5 (5 + 3)
= 10π × (8)
= 251.32741229 in²
Approximately = 251.33 in²
Therefore, the amount of sand that can fit into the cylinder = 251.33 in²
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a line is translated. Which of these could be the results
Answer:
D
Step-by-step explanation:
D is the only choice that actually contains a line.
A is a ray.
B is a parabola.
C is a line segment.
Answer:
D...... .............
The height of bamboo is proportional to its age. Use the graph to determine how long it takes for bamboo to reach a height of 120 inches,
Answer:
Answer: 30 weeks
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Gym a charges $25 per month plus a $60 initiation fee. Gym b charges $30 per month and no initiation fee. Find the number of months it will take for the total cost for both gyms to be equal
Answer:
12 months
Step-by-step explanation:
Given data
Gym A
charges $25 per month plus a $60 initiation fee
let the number of months be x
and the total charges be y
y= 60+25x---------------1
Gym B
charges $30 per month and no initiation fee
let the number of months be x
and the total charges be y
y=30x---------------2
Equate 1 and 2 above to find x
60+25x= 30x
collect like terms
60= 30x-25x
60= 5x
divide both sides by 5
x= 60/5
x= 12
Hence it will take 12 months
(4, -3); slope = -1
Write in slope intercept form
Answer:
y= -x+1
Step-by-step explanation:
y=mx+b
-1(4)+b=-3
-4+b=-3
b=1
y= -x+1
A pack of snack bars includes 2 blueberry bars , 3 chocolate bars , and 5 cherry bars . What is the ratio of the number of blueberry bars to the number of cherry bars ?
Answer:
2:5 is the ratio in this situations
Step-by-step explanation:
There are 2 blueberry bars, and 5 cherry.
The circumference of a circle is 14\piπ in. Find its diameter, in inches.
Answer:
4.46 will be the diameter
The formula for circumference is diameter x pi
Since the circumference is given in terms of pi, the diameter is the number given.
Diameter = 14 inches.
Solve the equation
x-4=-x+2
Answer:x=3
Step-by-step explanation:
Answer: x=3
Step-by-step explanation:
Given
x-4=-x+2
Add x on both sides
x-4+x=-x+2+x
2x-4=2
Add 4 on both sides
2x-4+4=2+4
2x=6
Divide 2 on both sides
2x/2=6/2
x=3
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help. Its on khan acadmy I dont know how to solve
Answer:
13
Step-by-step explanation:
The coeficcent of a term xa where a is the variable is x. Thus 13a results in 13 as the coeficcent
Answer:
Step-by-step explanation:
The coefficient is the constant multiple of a which is 13.
Without using a calculator, determine whether 1 728 is a perfect square, a perfect cube, or
neither
Answer:
it's a perfect cube only....
What is the measure of angle C?
Answer:
48
Step-by-step explanation:
57 + 27 = 84
180 - 84 = 96
96 ÷ 2 = 48
If a series RC circuit is operating at 100 VAC and has an impedance of 52.5 ohms, what is the circuit current
Answer:
1.9 Amps
Step-by-step explanation:
In an RC circuit, the relationship between the current I in amps, the impedance Z in ohms and the voltage V in volts may be stated as
V = IZ
As such, given that z = 52.5 ohms and V = 100 Volts, the current in the circuit I may be computed as
100 = I * 52.5
Divide both sides by 52.5
I = 100/52.5
= 1.9 Amps
what is the factored form of 2 (-8x - 3) + 18x?
Answer:
Step-by-step explanation:
2(−8x−3)+18x
2x−6
=2(x−3)
The factored form of the given polynomial is 2(x-3).
What are factors of polynomial?The factors are the polynomials which are multiplied to produce the original polynomial.
The given polynomial is 2(-8x-3)+18x
= -16x-6+18x
= 2x-6
= 2(x-3)
Therefore, the factored form of the given polynomial is 2(x-3).
To learn more about the factorisation of polynomial visit:
https://brainly.com/question/16789195.
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9/10 + 3/4 in simplest form?
Answer:1 13/20
Step-by-step explanation:
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A lumberjack found 280 trees on a 1.5-acre plot ready for harvest. On the west side, he found 260 trees on a 1.9-acre plot. Which plot has a greater rate of harvest-ready trees per acre?
Answer:
280 trees on a 1.5 acre plot
Step-by-step explanation:
It has more trees with less acres already without any calculations.
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(4,−4), (k,−1); m=3/4 i need to know what k is
Answer:
8
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
3/4=(-1-(-4))/(k-4)
3/4=(-1+4)/(k-4)
3/4=3/(k-4)
cross product
4*3=3(k-4)
12=3(k-4)
12/3=k-4
4=k-4
k=4+4
k=8
Which property is demonstrated in the equation (4 x 7) x 10 = 4% (7 x 10) ? a. Symmetric b. Distributive c. Associative d. Commutative
Answer:
associative prop. of multiplication
Step-by-step explanation:
Is the trinomial a perfect square? write yes or no. x^2+12x+36
Answer:
no
Step-by-step explanation:
The graph of y = f(x) is shown below. Determine the value of x when f(x)
3?
Answer:
this is a hard question
Step-by-step explanation:
i dont know
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Cassie Goes to Buffalo Wild Wings with her 2 sister. It is her turn to pay for dinner. Because she is more generous than her sister, she decides to give a 25% tip to their sever. If in total she paid $70.15, what was the price of the food and drinks only?
Answer:
The price of food and drinks only is: 52.61
Step-by-step explanation:
I did the simple cross multiply divide
multiply 70.15 by 25 round to nearest tenth (since it is money) giving you17.54 then subtract 17.54 from 70.15 giving you 52.61.
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William has $7.50 to spend at the pretzel shop. A pretzel costs $1.25 and a soft drink costs $0.90. He buys one drink and p Which inequality can be used to find the number of pretzels William can buy?
Complete Question
William has $7.50 to spend at the pretzel shop. A large pretzel costs $1.25 and a soft drink costs $0.90. He buys one drink and p pretzels. Which inequality can be used to find the number of pretzels William can buy?
a) 1.25p−0.9≤7.5
b) 1.25p+0.9≤7.5
c) 1.25p+0.9≥7.5
d) 1.25+0.9p≤7.5
Answer:
b) 1.25p+0.9≤7.5
Step-by-step explanation:
William has $7.50 to spend at the pretzel shop.
This means Williams can spend at least $7.50
A pretzel costs $1.25 and a soft drink costs $0.90. He buys one drink and ?pretzel
Therefore, the inequality can be used to find the number of pretzels William can buy is written as
1.25p+0.9≤7.5
Option b is the correct option
a boy who is reading 20 pages of a book per day can finish it in one month. how many day will he take it if he reads 30 pages per day
Answer:
20
Step-by-step explanation:
Abcde~Fghij. Find the value of w
Answer:
=13
Step-by-step explanation:
because I don't have a clue what I'm doing
It is actually 2m/s2
Answer:
what is the question here?
Step-by-step explanation:
Write an equation, slope of -7 y-intercept of 5
can someone please help me??
Answer:
the answer is c ...............
Answer:
It could be A or C because they are the same
Step-by-step explanation:
The linear equation that represents the values shown in the table below is y= x+
Answer:
ifgc
jhpn9fl k k k k k k k k k k k k kk k k k k k k k
If a varies directly with b, write the constant of proportionality equation.
b = 2 and a = 10
options:
1. a=5b
2. k=5
3. a= 1/5b
4. b=5a
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Answer:
30
Step-by-step explanation:
I am serious because they are the same angle. Can someone help me with my question plz