Answer:
$0.36
Step-by-step explanation:
Let the cost per unit of electricity = e
Let the cost per unit of gas = g
a homeowner used 600 units of electricity and 100 units of gas for a total cost of 390;
600e + 100g = 390 ----- i
400 units of electricity and 250 units of gas were used for a total cost of $326.
400e + 250g = 326 ----- ii
Now we have two equations, and we solve for g;
600e + 100g = 390 ----- i
400e + 250g = 326 ----- ii
Multiply equation i by 4 and equation ii by 6;
2400e + 400g = 1560 ---- iii
2400e + 1500g = 1956 ---- iv
Subtract equation iii from iv;
1100g = 396
g = [tex]\frac{396}{1100}[/tex] = 0.36
Cost per unit of gas $0.36
A corporation is having a shareholders meeting to vote on a new issue. Not all shareholders are able to attend. In fact, most usually do not. The ownership of the corporation is represented by 2,351,00 shares of stock owned by 111,273 shareholders. Must all of the shareholders own more than one share of stock? If 3,411 shareholders attend the meeting, what percent of the shareholders attended the meeting? Round to the nearest percent. If the shareholders who do not attend own a combined 1.8 million shares of the corporation and the shareholders are voting on a particular issue, these shareholders can vote by proxy - an absentee ballot. If 100,000 of the shareholders vote by proxy, what percent of the shareholders did not vote at all?? Round to the nearest percent.
Answer:
a) The percentage of the shareholders who attended the meeting is 3%.
b) The percentage of the shareholders who did not vote at all is 7%.
Step-by-step explanation:
a) Data and Calculations:
Outstanding shares = 2,351,000
Number of shareholders = 111,273
Number of shareholders who attended the meeting = 3,411
The percentage of the shareholders who attended the meeting = 3,411/111,273 * 100
= 3.065
= 3%
Absent shareholders = 107,862 (111,273 - 3,411) and own 1.8 million shares
Proxy voters = 100,000
Non-voting shareholders 7,862
Therefore, the percentage of shareholders who did not vote at all
= 7,862/111,273*100
= 7.0655
= 7%
Selecting which is the digit six is 10 times the value of the digit six in 3.161
Step-by-step explanation:
All the answers which apply are D and F
Answer:
I think it is d but I am now overthinking it so don't put too much trust in that
What are there fractions equivalent to 6/24
Answer: Remember how to find equivalent fractions? Here are some:
1/4, 2/8, 3/12, 4/16, 5/20, 25/100, 90/360, 1800/7200
To find all of these, there's a simple method- multiply the denominator and the numerator by the same number. As long as you make sure to use the same number for both the top AND the bottom, you'll always have an equivalent fraction. For example,
1 1800 1800
--- x -------------- = ---------
4 1800 7200
This works because, as you may have noticed, any muliplier you use is in the form of n over n, which, of course, is equivalent to one whole or 100%. Make sense?
The three fractions equivalent to 6/24 are 3/12, 1/4, and 2/8.
What is a fraction?A fraction is a part of the whole represented by a/b, where a and b are any integers.
The given fraction is 6/24.
Simplify the fraction:
6/24
= 3/12
= 1/4
Divide and multiply the above fraction by 2:
2/8
Hence, the three fractions equivalent to 6/24 are 3/12, 1/4, and 2/8.
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Joe has 6 marbles. Joe and Kay have 11 marbles. Kay and Sara have 7 marbles. How many marbles does Sara have?
Answer:
2
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
Joe = 6
J + K = 11
Kay = 5
K + S = 7
Sara = 2
the first and last term arithmetic sequence are 9 and 165 respectively.if the sum of all the terms of the arithmetic sequence is 3480,find the number of terms and the common difference of this arithmetic sequence
Answer:
40 termsStep-by-step explanation:
Sum of n terms formula:
Sn = 1/2n(a1 + an)Solving for n
3480 = 1/2n(9 + 165)3480 = 87nn = 3480/87n = 40Answer:
Required Answer:-first term =a=9Last term =l=165 Sn=3480As we know that in a AP
[tex]{:}\longrightarrow[/tex][tex]\sf S_n={\dfrac {1}{2}}(a+l)n[/tex]
Substitute the values[tex]{:}\longrightarrow[/tex][tex]\sf 3480={\dfrac {1}{2}} (9+165)n[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 3480={\dfrac {1}{2}}(174)n[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 3480={\dfrac {174}{2}}n [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 3480=87n [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf n={\dfrac {3480}{87}}[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf n=40[/tex]
[tex]\therefore[/tex]Number of terms=40.
need a little help with this problem
Answer:
Step-by-step explanation:
Rate (slope) of miles per gallon of gas: m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
(0, 0)
(2, 50)
[tex]m_{carA}[/tex] = 25 mi/gal.
(0, 0)
(3, 60)
[tex]m_{carB}[/tex] = 20 mi/gal.
Car B use less gasoline.
an object is traveling at a steady speed of 10 1/5 km/h. how long will it take the object to travel 4 4/5
Incomplete question but the comnplete question is how long will it take the object to travel 4 4/5km
Answer: time taken for the object to travel = 0.47 hrs
Step-by-step explanation:
Step 1 -- The formulae to represent the relationship of speed, distance and time .
Speed = Distance / Time
Where Speed = 10 1/5 km/h
Distance = 4 4/5 km
Step 2 --- Solving
Time = Distance / Speed
= 4 4/5 km / 10 1/5 km/h
= 24/ 5 x 5/ 51 = 24/51 =0.47 hrs
0r
4. 8 / 10.2 = 0.47 hrs
Therefore the time taken for the object to travel = 0.47 hrs
Answer this please thanks
Answer:
The answer is yes, since the graph is an equal line throughout.
Step-by-step explanation:
fred can complete a work in 6 days and Paul can complete a work in 3 days. if fred and Paul work together, how many days can the work be completed?
Answer:
I think its 3 or 2 days bc if paul can get two works done by the time fred can get one done then the days should be divided.
Step-by-step explanation:
Can you solve this please
Answer:
( 5 × 9 ) + (5 × 4 )
Step-by-step explanation:
#2 which table describes a function ??
Answer:
H.
Step-by-step explanation:
A function can only have one y-output per x-input (However, it is ok for one y-output to have multiple x-inputs). The only table that doesn't contain two y-outputs for one x-input is H.
David's Parents have a sandwich shop. They sell sandwiches for $5 each and
bottles of water for $1 each. The owners, David's Parents, need to earn a total of
$100 by the end of the day.
a) Write a linear equation that describes the problem
b) What are the slope and the y-intercept and what do they represent?
c) Graph the linear equation the shop's revenue. Make sure to label both axes with
appropriate titles.
d) Then use the graph to determine how many sandwiches the shop must sell if no
waters are sold.
Answer:
d is answer have a great day
PLZZZZZZZZZZZZZZZZZZZZZZ HELP!!!
QUESTION: 5y+(-5)=10
STUDENT WORK: IMAGE DOWN BELOW
1. Explanation of Errors Made
2. Correct Solution (show all work)
Answer:
Step-by-step explanation:
5y + (- 5) = 10
The first mistake made in the image was when they subtracted from an already negative number. You add 5 to both (-5) and 10, which would be 5y = 15, due to the fact that 5 is being multiplied by y, you divide both sides by 5, making 3 the correct answer.
1. 5y + (-5) = 10
2. 5y +5 +5
3. 5y = 15
4. 5y/5 15/5
5. y = 3
The first term of a sequence is 18, and the fifth term is 54. What is the common difference between each two consecutive terms? 36 27 18 9
Will give brainliest
Answer:
9
Step-by-step explanation:
Sorry to lazy to type
Calculation is up
Answer:
The answer to your question will be 9, sorry that im late!
Step-by-step explanation:
IM DUMB HELP ME WAAAAAAAAA
Answer:
Sales tax (6.5% of Subtotal) would be
The total amount comes out to
Step-by-step explanation:
The first step is to add the sales tax percentage to the gratuity percentage. In this example, that would equal 24.5%. Next, we must divide the sum of the sales tax percent and the gratuity percent by 100 to convert to a decimal. So, 24.5% divided by 500 comes out to 0.245. Then, multiply the result by the amount of the bill to find what the sales tax and gratuity add to the bill. However, we do not have the bill amount given, so we must figure that out. In order to do this,
Select the expression that is NOT equivalent to 2 × (3 + 6).
A. 6 + 12
B. (2 × 3) + (2 × 6)
C. (2 × 6) + (2 × 3)
D. (2 × 3) + (3 × 6)
Answer:
D
Step-by-step explanation:
in answer D, the values would equal "6" and "18" which is not equivalent to the given equation
Cuales son los gráficos que nos permiten analizar el movimiento rectilíneo
Step-by-step explanation:
Un modo de describir y estudiar los movimientos es mediante gráficas que representan distancia-tiempo (distancia en función del tiempo), velocidad-tiempo (velocidad en función del tiempo) y aceleración-tiempo (aceleración en función del tiempo).
Are these two triangles congruent? Use tracing paper to justify your answer
Answer:
no
Step-by-step explanation:
Answer:
Where's the pic shorty
Step-by-step explanation:
????????
write 13.28 as a fraction in the lowest term
Answer:
13 wholes and 7/25
Step-by-step explanation:
write 28 over 100 and just simplify but don't forget 13
HELP!!!!
What is the result when the number 80 is decreased by 8%?
Answer:
79.92
Step-by-step explanation:
Step-by-step explanation:
80 decreased by 8% means;
80 - (8/100 × 80) = 80 - (0.8 × 8)
= 80 - 4.8 = 75.2
What value of a makes the following equation true?
a−8a=210
Answer:
a=-30
Step-by-step explanation:
What is the equation of the line in slope - intercept form ?Enter your answer in the boxes PLEASE HELP!
Answer: y= 3/5x+
Steps shown in image:
are the triangles congruent? if they are, state how they are congruent.
Answer: Yes
Step-by-step explanation: by SAS
Answer:
Step-by-step explanation:
ASA postulate of congruence.
Can a triangle be drawn with side lengths 8.4 inches, 9.2 inches, and 17 inches?
Answer:
yes
Step-by-step explanation:
based on the triangle inequality theorem, add the two smallest numbers together (8.4,9.2) to get 17.6 which is bigger than 17
What is Gia's final number if her starting number is 9?
) Gia's final number is
Plaseeeeeeeeee
Answer:26
Step-by-step explanation:
Gia's final number, if her starting number is 9 is 22
How to determine Gia's final number?The rule of Gia's number is given as:
y = 2x + 4
Where x represents the starting number and y represents the final number.
Substitute 9 for x in y = 2x + 4
y = 2 * 9 + 4
Evaluate
y = 22
Hence, Gia's final number is 22
Read more about equations at:
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The operator of a pumping station has observed that demand for water during early afternoon hours has an approximately exponential distribution with mean 100 cfs (cubic feet per second). Find the probability that the demand will exceed 170 cfs during the early afternoon on a randomly selected day. (Round your answer to four decimal places.)
Answer:
0.1827
Step-by-step explanation:
Given mean of exponential distribution = 100
==> 1/χ = 100 ==> χ = 1/100 ==> χ = 0.01
PDF of χ , f(x) = χe^(-χx), x ≥ 0
===> f(x) = 0.01e^(-0.01x), x ≥ 0
Now we find the probability that the demand will exceed 170 cfs during the early afternoon on a randomly selected day
P(X>170) = ∞∫170 f(x)dx
P(X>170) = ∞∫170 0.01 e^(0.01x) dx
P(X>170) = [e^(-0.01x) / -0.01]^∞ base 170
P(X>170) = -1 [e^-∞ - e^-0.01*170]
P(X>170) = e^-1.7
P(X>170) = 0.1827
The probability that the demand will exceed 170 cfs during the early afternoon on a randomly selected day is 0.1827
What is 11/12 divided by 1/3
Answer:
Step-by-step explanation:
11/12 ÷ 1/3 = 2 3/4, or 11/2 as a improper fraction
hope this helps
Answer:
11/12 divided by 1/3 is the same as 11/12 * 3/1, which is 33/12.
Step-by-step explanation:
Which expression is equivalent to 8/9 divided 3/4?
don't feel like using my brain
Answer:
32/27
Step-by-step explanation:
The fractional division is draculated as follows:
(a/b) / (c/d) = (a*d) / (b*c)
then:
(8/9) / (3/4) = (8*4) / (9*3) = 32/27
Queue really good summer time happy feeling good memories music
Answer:
u want recommendations?
Step-by-step explanation:
Answer:
Watermelon Sugar
Given: log 5=a, log 3=b, log 2=c. Find: log30 8
Answer:
log 30 = abc
Step-by-step explanation:
Given:
log 5 = a
log 3 = b
log 2 = c
Find:
log 30
Computation:
log a + log b + log c = log abc
log 5 + log 3 + log 2 = log 30
log 30 = (a)(b)(c)
log 30 = abc