Answer:
[tex] \frac{x}{3} + 4 = \frac{4x - 1}{5} \\ \\ \frac{x}{3} + \frac{12}{3} = \frac{4x - 1}{5} \\ \\ \frac{x + 12}{3} = \frac{4x - 1}{5} \\ \\ 3(4x - 1) = 5(x + 12) \\ \\ 12x - 3 = 5x + 60 \\ \\ 12x - 5x = 60 + 3 \\ \\ 7x = 63 \\ \\ x = \frac{63}{7} \\ \\ x = 9[/tex]
3. Suppose a retail business sale its commodities at a margin of 25% on all items purchased and sold. Moreover the company uses 5% commission as selling expense and Birr 12,000 as a Fixed Cost, then Find the Breakeven revenue for the retail business after developing the equation
The Breakeven revenue for the retail business is Birr 12,500
What is breakeven?
Breakeven is the point at which the revenue is equals to the cost, hence the profit is zero.
Revenue = Cost
Let x represent the number of items sold, hence:
Revenue = (100% + 25%) of x = 1.25x
Cost = 5% of x + 12000 = 0.05x + 12000
At breakeven:
1.25x = 0.05x + 12000
x = 10000
Hence:
Revenue = 1.25(10000) = Birr 12,500
The Breakeven revenue for the retail business is Birr 12,500
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Two great structures are
described below. What is the
difference, in square feet, between the visible
surface area of
the Great Pyramid and the first tower of the World Trade
Center? (Hint: The bottom side is not visible for either
structure.)
On September 11, 2001,
terrorists crashed planes
The Great Pyramid of
Giza, built around 2550
B.C., has a square base
with a length of 756 feet,
and the distance from
the middle of any base
side to the top is 612 feet.
into the World Trade
Center Twin Towers. The
first tower was a
rectangular prism with a
square base whose sides
were 208 feet long. The
tower was 1,368 feet tall.
The difference, in square feet, between the visible surface area of
The Great Pyramid and the first tower of the World Trade Center are 358704.
What is the lateral surface area of this rectangular prism?A rectangular prism is a three-dimensional shape that has two at the top and bottom and four are lateral faces.
The lateral surface area of this rectangular prism = Perimeter x height
The Great Pyramid of Giza, has a square base with a length of 756 feet, and the distance from the middle of any base side to the top is 612 feet.
The first tower was a rectangular prism with a square base whose sides
were 208 feet long. The tower was 1,368 feet tall.
Total surface area = base area + (1/2 × perimeter × slant height)
Perimeter of base = 4 × 756 = 3024 feet
Slant height = 612 feet
Base area = 756² = 571536 feet²
The total surface area
[tex]= 571536 + (1/2 \times 3024 \times 612)\\ 1496880 feet^2[/tex]
The surface area of this rectangular prism = Perimeter x height
Perimeter of base = 4 × 208 = 832 feet
Area = [tex]832 \times 1368\\\\1138176[/tex]
The difference, in square feet, between the visible surface area of
the Great Pyramid and the first tower of the World Trade Center are 358704.
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Find the distance between the two points in simplest radical form.
(-8,3) and (-2,5)
Here we would be using distance formula to calculate the distance between those two points.
Points are,
(-8,3) (-2,5)★ Distance Formula :
[tex]\huge \large \boxed{\sf{{d \: = \: \sqrt{(x _{2} - x _{1}) {}^{2} \: + \: (y _{2} - y _{1}) {}^{2} }}}} \: \red\bigstar[/tex]We have :
x1 = -8 x2 = -2 y1 = 3 y2 = -5Substituting the values :
Refer the attachment.Additional Information :Centroid of a triangle :-
[tex]\boxed{ \sf{Centroid \: = \: \dfrac{x_1 \: + \: x_2 \: + \: x_3}{3} }} \: \pink\bigstar[/tex]Midpoint of two points:-
[tex]\boxed{ \sf{M \: = \: \dfrac{x_1 \: + \: x_2 }{2} \: , \: \dfrac{y_1 \: + \: y_2 }{2}}} \: \pink\bigstar[/tex]Find the area of a square with a slide length of 7/12
[tex]\text{Area of square} = \text{Side}^2 = \left(\dfrac{7}{12}\right)^2 = \dfrac{49}{144}=0.3402\overline{7}~ \text{Units}^2[/tex]
A movie is 9.75 seconds long.
Describe a situation related to this movie that could be a represented by the expression 9.75 / 2.5
Answer:
Step-by-step explanation: Maybe you could try:
A movie is 9.75 seconds long and each 2.5 seconds there is an ad so how many ads are there during the movie?
9.9 ft 7.2 ft The figure above shows a movie screen with dimensions shown in feet. What is the length of the diagonal of the screen, in feet? Give the exact solution or round your answer to the nearest tenth of a foot.
Answer:
12.2
Step-by-step explanation:
use the Pythagorean theorem to determine the diagonal
9.9^2 + 7.2^2 = d^2
d = 12.2
pls help do today:(!!
[tex] \qquad\qquad\huge\underline{\boxed{\sf Answer}} [/tex]
The correct way to write the name of a ray is :
[tex] \large \tt Problem\:\: 1 [/tex]
[tex] \sf \overrightarrow{DC}[/tex][tex] \large \tt Problem \:\:2 [/tex]
[tex] \sf \overrightarrow{IG}[/tex][tex] \large \tt Problem \:\:3 [/tex]
The Correct choice is C
Ray has one end point and continues forever on the other side.
Select the correct answer.
Alejandra is packing a bag for a flight. The airline has a baggage welght limit, and Alejandra has already packed her bag with some essentials. All
she has left is her outfits and shoes, which must weigh less than 30 pounds total.
If Alejandra estimates that one outfit welghs two pounds and one pair of shoes welghs three pounds, which graph represents the number of
outfits and shoes that Alejandra can pack while staying under the weight limit?
Write the expression “3 times the quantity n plus 6" as an algebraic expression.
Answer:
3n+6
Step-by-step explanation:
"3 times the quantity n" = 3 * n = 3n
3n+6
Find the area of the shaded region.
Answer:
3316
Step-by-step explanation:
Hope it will help you
An individual is selling tickets for a new movie that just came out. The first night the individual sold 45 Senior tickets and 92 Adult tickets. The second night, the individual sold 26 Senior tickets and 45 Adult tickets. Which night did the individual sell a higher ratio of Senior tickets to Adult tickets?
Step-by-step explanation:
the ratio senior to adult tickets on the first night :
45/92
the ratio on the second night :
26/45
which ratio is higher ? that means we have to determine which fraction is bigger.
the simplest and fastest way to compare them is to bring them to the same denominator (bottom part).
and the simplest way to do that is simply by multiplying the numerator and denominator of each fraction by the denominator of the other fraction :
45/92 × 45/45 = 2025 / 4140
26/45 × 92/92 = 2392 / 4140 (this is therefore bigger)
so, the ratio on the second night is higher.
how many mL of normal saline should be added to 50mL of hydrogen peroxide to create a solution that is 5/8 strength?
If x = 2 and y = 3, then 4x
Answer: 8
Step-by-step explanation: Substituting x for 2 since we know the value, 4(2) is 8.
Answer: 8
Step-by-step explanation:4*2=8
please help i will give brainliest
Answer:
[D] 1/14
Step-by-step explanation:
Given that:
What is the probability of picking an orange marble and flipping tails?
Solution:
First let see how many orange marbles are there:
As we can see there is 1 orange marble out of 7 total. The probability of picking an orange marble is 1/7.
Now let see how many side a coin have:
As we can see the probability of flipping tails is 1/2 because 1 side is tails out of 2 sides total.
Now multiply both together:
(1/7)× (1/2) = (1×1)/(7×2) = 1/14
This represents the probability of getting an orange marble and flipping tails.
In additionally 1/14 can't be simplify anymore.
Kavinsky
Answer:
[D] 1/14
Step-by-step explanation:
Knowing that there are 5 purple marbles, 1 brown marble, 1 orange marble. Since, on the given question all we need to know is the total marbles and the orange marbles.
Which the probability is 1/7
Now for the coin.
Knowing that there are two sides on a coin
Heads and tails (1/2)
Which is only 1/2 also known as 50% probability.
Now multiply straight across:
1/2 × 1/7
⇒ 1 × 1 = 1
⇒ 2 × 7 = 14
Thus, the answer is 1/14
can't be farther simplify.
[RevyBreeze]
Which expression is equivalent to 1/²
Or³
o po
o 12
0,27
Answer:
[tex]r^6[/tex]
Step-by-step explanation:
Hello!
Using the exponent rule [tex]\frac{a^b}{a^c} = a^{b-c}[/tex], we can simplify this expression.
Simplify:
[tex]\frac{r^9}{r^3}[/tex][tex]r^{9-3}[/tex][tex]r^6[/tex]The solution is [tex]r^6[/tex]
If f(x) -
X-3
and g(x) = 5x - 4, what is the domain of (f•g)(x)?
8. An angle that contains 126° 32' is a/an Angle
angle.
A. straight
B. obtuse
C. right
D. acute
Answer:
B Angle obtuse Since 126o 32 ' is bigger 90o but smaller than 180o.
Step-by-step explanation:
Acute: An angle that measures < 90o.
Right: An angle that measures 90o.
Obtuse : An angle that is > 90o but < 180o.
Straight: An angle that measures 180o.
Please help me solve this question, I will mark brainly.
Andrew bought a computer costing #150000. How much will the same computer cost in 3 years time if the rate of inflation is 12% per annum.
Answer:
I have no Idea btw have a great day
please help me Find m
Answer: 70 degrees
Step-by-step explanation:
what is the 5th grade meaning of congruent
Sientific notation (please help!)
√5
You know that √4 = 2
so √5 > 2
2.5 * 2.5 = 6.25,
√6.25 = 2.5
so √5 in between 2 & 2.5
2 < n < 2.5
π/3
π/3 ≈ 3.14/3
3/3 = 1
4.5/3 = 1.5
π is in between 3 & 4.5
1 < n < 1.5
√3
√2.25 = 1.5
√4 = 2
√3 is in between
1.5 < n < 2
Hope this helped!
Question 1 – A two-mass (pulley) system begins in the initial configuration shown in the figure. Once this system is allowed to
move, the cart will move to the right and the suspended mass will fall with the same (magnitude of) acceleration. Determine this
acceleration, A, of this system, and the force in the cable, F, accurate to 3 sig. dig.
Assume the pulley and cable has no mass.
Answer:
the suspended mass will fall with the same (magnitude of) acceleration. Determine this
accelerat
Step-by-step explanation:
What is the classification of the pair of angles shown?
F. complementary
G. supplementary
H. vertical
I. no relationship
Answer:
Vertical
Step-by-step explanation:
Since both the angles are located directly opposite of each other, this is a vertical angle pair.
3 – 9x = –6 – 8x
What is X
the answer for this question is x = 9
x=9 ig
but how did I get -3?
A rectangular pool is 25 meters
long and 10 meters wide. What
is the perimeter of the pool?
a bag og of grass seed weigh 5.8 pounds. how many
pounds would 2.5 weighs?
Answer:
the answer is 8.3 it weigh
Which expression is equivalent to y^4-400?
Answer: (2)
Step-by-step explanation:
If the data for the heights of players on a basketball team is skewed right, which statistical measure represents the spread of the data best?
A. Interquartile Range
B. Mean
C. Median
D. Range
Answer:
Median
Step-by-step explanation:
I know that you can't do Range, since it's skewed right.
The mean can't be it since it's also not representative when it's skewed right.
I'd say Median, or IQR at first glance but if you look at a graph, the IQR might follow with the skewed and move over a bit.
That leaves Median.
The correct statistical measure which represents the spread of the data best is, Median.
Given that;
The data for the heights of players on a basketball team is skewed right.
Since, We know that;
For the data for the heights of players on a basketball team is skewed right,
We can use Median for the spread of the data best.
Hence, The correct statistical measure which represents the spread of the data best is, Median.
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Evaluate the expression 5p for p=2
Answer:
10
Step-by-step explanation:
when p=5
substituting p=5 into 5p.
5p = 5×2 =10
6log_(5)x^(3) in a form that does not use exponents
Step-by-step explanation:
did you meant 6log_10? *text because it need to be 20 characters*
Answer:
18log_5x
Step-by-step explanation:
log(a^b) = b·log(a)
6log_(5)x^(3) =
6(3log_5x)
18log_5x
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