Answer:
[tex]Cost\ Price = 4331.25[/tex]
Step-by-step explanation:
Given
Selling Price = Sh. 4950
Profit = 12.5%
Required
Determine the cost price
Profit is calculated as:
[tex]Profit = \frac{Selling\ Price - Cost\ Price}{Selling\ Price} * 100\%[/tex]
Substitute values for Selling Price and Profit
[tex]12.5\% = \frac{4950 - Cost\ Price}{4950} * 100\%[/tex]
Cross Multiply:
[tex]4950 * 12.5\% = (4950 - Cost\ Price) 100\%[/tex]
[tex]\frac{4950 * 12.5\%}{100\%} = (4950 - Cost\ Price)[/tex]
[tex]618.75 = (4950 - Cost\ Price)[/tex]
Collect Like Terms
[tex]Cost\ Price = 4950 - 618.75[/tex]
[tex]Cost\ Price = 4331.25[/tex]
Hence, the cost price of the item is: Sh. 4331.25
Daryl measures the angle of elevation to be 62 degrees. Frances measures the angle of elevation to be 54 degrees. if the two enthusiasts are 28m apart, how far off the ground is the helicopter.
Answer:
The helicopter is 27.38 m far off the ground
Step-by-step explanation:
The drawing shown in the image below has all the measures and variables needed to solve the problem.
We need to find R, the height of the helicopter. We'll use the law of sines to find the length of side a.
[tex]\displaystyle \frac{28}{\sin X}=\frac{a}{\sin 54^\circ}[/tex]
The angle X is the measure needed to complete 180°:
X = 180° - 54° - 62° = 64°
Solving for a:
[tex]\displaystyle a=\frac{28}{\sin 64^\circ}\cdot \sin 54^\circ[/tex]
Calculating:
a = 31.11 m
Now using the sine ratio in the right triangle to the left side:
[tex]\displaystyle \sin 62^\circ=\frac{R}{a}[/tex]
Solving for R:
[tex]R=a\sin 62^\circ[/tex]
R=31.11*0.88
R = 27.38 m
The helicopter is 27.38 m far off the ground
The height of a doorway is 8 yards. What is the height of the doorway in inches?
The height of the doorway is
inches.
Answer:
288 inches
Step-by-step explanation:
1 yard= 36 inches.
36x8=288
Answer:
It would be 288 inches
Step-by-step explanation:
8 divided by ? inches
1 yard = 36 inches
36 inches times 8 yards = 288 inches
make me brainiest
median for 9, 8, 5, 4, 3,18, 15 *
What is the mode for 1,1,1,2,3,5,10,10,10,10,14,11
Answer:
median: 8
mode: 10
Mia measures the length of a leaf with her ruler.
Which of the following values is most likely the value she measured with her ruler?
A
0.0048 m
B
0.157 ft
C
4.8 cm
D
48.41 mm
Answer:
most likely C) 4.8 cm
Step-by-step explanation:
There is a stack of twenty cards labeled from 1 to 20. One card is randomly drawn. What is the probability that the card is a multiple of three or odd?
Answer:
I think 6 out of 20.
Step-by-step explanation:
I used mental math.
Hawall is 6 hours behind Cincinnati. If it is 5 AM in Hawall, what time is it in Cincinnati?
Answer:
11 AM
Step-by-step explanation:
5 + 6 = 11
What is the x-intercept of the following equation? 4x + 2y = 12
Answer:
3
Step-by-step explanation:
A label is twice as long as it is wide. If the length of the label is 10 cm, find the
area of the label.
O 20 square centimeters
O 50 square centimeters
O 60 square centimeters
O 70 square centimeters
Answer:
50 square centimeters
Step-by-step explanation:
Long means length, and we know the length of the label, 10 centimeters. That means the width is half of 10 centimeters, or 5 centimeters. Now, we multiply 10 and 5 to get 50. That means the area of the label is 50 square centimeters
What is the value of 15 + x2 when the value of x is 3
Answer:
21
Step-by-step explanation:
15 + (3)2
15 + 6
21
Answer:
24
Step-by-step explanation:
15+x2
= 15 + (3x3)
= 15 + 9
= 24
"HOT PIZZA" is offering a 20% discount on all its pizza
Ali orders a pizza for the reduced price of £5.60
What was the original price of the pizza?
Answer: the answer is 7
Step-by-step explanation:
first you divide the price by four then add a quarter to the original amount. gl
Subtract
28 1/27 - 2/9=
Answer:
1759. or 27 58/63
63
hope it helps
Middle school 95 students have freckles there are 382 students in the school to the nearest 10th of a percent what is the percent of the students have freckles
Answer:
24.9%
Step-by-step explanation:
95/382=0.24869
0.24869*100=24.87
24.87% rounded up to the nearest tenth of a percent is 24.9%
Answer pls will
Give brailiest or show how to do it
Answer:
bro i do not know how to do that stuff im only in Middle school my guy
Step-by-step explanation:
I don't know
A large fish tank is having its water drained while being weighed. After 20 gallons have been drained, the tank weighs 1,909 pounds. After 50 gallons have been drained, it weighs 1,660 pounds. Let w be the weight of the tank and let g be the number of gallons drained. Write a linear equation for w in the terms of g.
Answer:
[tex]w=-8.3g+2075[/tex]
Step-by-step explanation:
Let the x axis represent the gallons g
and y axis represent the weight of the tank w.
So, the first point on the plane will be [tex](20,1909)[/tex]
and the second point will be [tex](50,1660)[/tex]
The line between these points will be
[tex]w-1909=\dfrac{1660-1909}{50-20}(g-20)\\\Rightarrow w-1909=-\dfrac{249}{30}(g-20)\\\Rightarrow w-1909=-\dfrac{83}{10}(g-20)\\\Rightarrow w=-\dfrac{83}{10}g+\dfrac{83}{10}\times 20+1909\\\Rightarrow w=-\dfrac{83}{10}g+2075\\\Rightarrow w=-8.3g+2075[/tex]
The relationship between the weight and gallons of the tank is [tex]w=-8.3g+2075[/tex]
On their most recent 8-mile training run, Pepe averaged a speed of 12 of a mile in 4.5 minutes, while Paula averaged 34 of a mile in 7.5 minutes.
How many minutes did it take the faster runner to finish the 8 mile run
Answer:
1.78 min
Step-by-step explanation:
so first you have to figure out the fastest runner
pepe 12 miles in 4.5 minutes
and paula ran 34 miles in 7.5 minutes
if you divide miles by minutes you get how many miles they ran in one minute
12/4.5=~2.67
34/7.5=~4.53
So you can see that paula is faster
if she ran ~4.5 miles in a minute then it would take her ~1.78 minutes to run 8 miles
they're both super humans though like woah
How far is `75\%` of a `2,000`-kilometer trip?
Answer:
1,500 kilometers
Step-by-step explanation:
To find 75% of 2,000, multiply 2,000 by .75. That gets us 1,500. That means 75% of a 2,000 kilometer trip is 1,500 kilometers.
Answer:
1,500 kilometers
Step-by-step explanation:
Write an equation in slope-intercept form for the line that passes through (4, 1) and is parallel to the line y-1/4x+7
Answer and I will give you brainiliest
Answer:
y = -1/4x + 8
Suppose that the system will work if components 1 and 2 are both working, or if components 3 and 4 are both working, or if components 1, 3, and 5 are all working. Let W be the event that the system will work. Specify all the outcomes in W.
[tex]A \ system \ is \ composed \ o f \ 5 \ components \ , \ e ach \ of \ which \ is \ either \ working \ or[/tex][tex]failed. \ Consider \ an \ experiment \ that \ consists \ of \ observing \ the \ status \ of \ each[/tex][tex]component \ . and \ let \ the \ outcome \ of \ the \ experiment \ be \ given \ by \ the \ vector[/tex][tex](x1,x2,x3, x4, x5), \ where \ xi \ is \ equal \ to \ 1\ if \ component \ i \ is \ working \ and \ is \\ equal \ to \ 0 \ if \ component \ i \ is \ failed.[/tex]
[tex](a) \ How \ many \ outcomes \ are \ in \ the \ sample \ space \ of \ this \ experiment?[/tex]
[tex](b) \ Suppose \ that \ the \ system \ wil l \ work \ if \ components \ 1 \ and \ 2 \ are \ both \\ working, or \ if \ components \ 3 \ and \ 4 \ are \ both \ working, \ or \ if \ components \ 1, \ 3, \\ and \ 5 \ are \ all \ working. \ Let \ W \ be \ the \ event \ that \ the \ system \ will \ work. \ Specify \\ all \ the \ outcomes \ i n \ W.[/tex]
Answer:
Step-by-step explanation:
From the given information:
We learned that it is possible that all entities can be in one of two states i.e. 0 or 1. Thus, all 5 entities can either be 0 or 1 (2 states).
∴
Number of outcomes = 2 × 2 × 2 × 2 × 2
= 2⁵
= 32
b)
All the outcomes of W = {(1, 1, x₃, x₄, x₅) (x₁, x₂, 1, 1, x₅) (1, x₂, 1, x₄, 1)}
Based on the two way frequency table above, what is the ratio / fraction of women who selected a sports car as their preferred vehicle. Express your answer in simplest terms.
45/240
45/180
3/12
1/4
3/16
Sarah has three more than four times the money that Jessica has. Together they have $72. How
much does each person have?
Answer:
Jessica has x amount of dollars.
Sarah has 4x + 3
Together they have $72
We can combine Jessica and Sara's money to equal $72.
x + (4x + 3) = 72
Combime like terms
5x + 3 = 72
Subtract 3 from both sides to isolate the variable.
5x = 69
Divide both sides by 5
x = 69/5 or 13 4/5 or 13.80
Jessica has $13.80 and
Sarah has 4(13.80) + 3
55.20 + 3 = 58.20
half the sum of 16 and x decreased by one-fourth x
8x=
8-0.25=
7.75
Heart this if it helped!
3x – 2y = 3
8x – 4y=4
elimination method
[tex]x = 1 + \frac{2y}{3} [/tex]
Solving for Y.[tex]y = - \frac{3(1 - x)}{2} [/tex]
Second equation:Solving for X.[tex]x = \frac{1 + y}{2} [/tex]
Solving for Y.[tex]y = 2x - 1[/tex]
PLease answer this!!!
Answer:
the answer is -5
Step-by-step explanation:
simply put the slope is going down one unit so that would me that for every one year equals 5lb so the would make the ratio 5/1 and when we simply that we get -5 for the first year or range they want us to answer.(And its negative because the slope is going down for the range they give us)
Hello please help me solve this :) will give braisnlt
What’s the order ???
For immigration
C A B E D
i think this is the answer
One yard is equal to 0.9144 meters. One foot is equal to how many meters
Answer:
0.3048 i think
Step-by-step explanation:
If Triangle PQR ~ Triangle SQT, Find the value of x.
Answer:
x = 15
Step-by-step explanation:
Given that ∆PQR ~ ∆SQT, therefore their side lengths are proportional to each other.
Thus:
[tex] \frac{PQ}{SQ} = \frac{PR}{ST} [/tex]
PQ = (x + 5) + 8 = x + 13
SQ = 8
PR = 21
ST = x - 9
Plug in the values
[tex] \frac{x + 13}{8} = \frac{21}{x - 9} [/tex]
Cross multiply
[tex] (x + 13)(x - 9) = 8*21 [/tex]
[tex] x(x - 9) +13(x - 9) = 168 [/tex]
[tex] x^2 - 9x + 13x - 117 = 168 [/tex]
[tex] x^2 + 4x - 117 = 168 [/tex]
Subtract 168 from both sides
[tex] x^2 + 4x - 117 - 168 = 0 [/tex]
[tex] x^2 + 4x - 285 = 0 [/tex]
Factorize
[tex] x^2 + 19x - 15x - 285 = 0 [/tex]
[tex] x(x + 19) - 15(x + 19) = 0 [/tex]
(x + 19)(x - 15) = 0
x = -19 or x = 15
Answer:
x = 15
Step-by-step explanation:
x+13/9 = 21/x-9
x^2+4x−117=168
x^2+4x−285=0
(x−15)(x+19)=0
x=15
it cannot be a negative number so x cannot be -19
What is this!!! I need to know quick
Answer:
x<3
Step-by-step explanation:
the dot is not black so it means that its not equal to three but bigger than three
Please help I’ve been stuck for an hour!!!
Answer:
D
Step-by-step explanation:
6/12 + 5/6 + 2/4 + 1/2
Answer:
7/3
Step-by-step explanation:
L.C.M of all of the denominators is 12
We get,
[tex] \frac{6 + 10 + 6 + 6}{12} = \frac{28}{12} \\ \\ = \frac{7}{3} [/tex]
In mixed fraction it becomes 2 1/3
And here is your answer hope it helps :)
need help pls answer asap!