Answer:
$297
Step-by-step explanation:
Given data
Percent profit=10%
sales price= $330
% profit= (sales price-cost price)/sales price* 100
let the cost price be x
Substitute
10= (330-x)/330* 100
cross multiply
10= (33000-100x)/330
10*330= 33000-100x
3300=33000-100x
3300-33000=-100x
-29700=-100x
29700=100x
x=29700/100
x=297
Hence the cost price is
cost price=$297
Given that x = 9.5 m and θ = 20°, work out AC rounded to 3 SF
Answer:
AC ≈ 10.1 m
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos20° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{9.5}{AC}[/tex] ( multiply both sides by 9.5 )
AC × cos20° = 9.5 ( divide both sides by cos20° )
AC = [tex]\frac{9.5}{cos20}[/tex] ≈ 10.1 m ( to 3 sf )
What is the square root of 49/900
The square root of 49/900 is 7/30 according to the given question, it can be done through simplification process.
To find the square root of 49/900, we can simplify the fraction first:
The square root of a number is a mathematical operation that determines a value which, when multiplied by itself, yields the original number. In simpler terms, the square root of a number "x" is the value "y" such that y multiplied by y equals x. The square root is denoted by the radical symbol (√).
49/900 = [tex](7^2)/(30^2)[/tex]
Taking the square root of the numerator and denominator separately, we get:
√ [tex](7^2) /[/tex]√([tex]30^2[/tex])
Simplifying further, we have:
7/30
Therefore, the square root of 49/900 is 7/30.
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6.
The time t required to drive a certain distance varies inversely with the speed r. If it takes 2 hours to drive the distance at 40 miles per hour, how long will it take to drive the same distance at 45 miles per hour?
A. 80 hours
B. 900 hours
C. about 1.78 hours
D. 2.25 hours
Answer:
C. about 1.78 hours
Step-by-step explanation:
Answer:
1.78 hours
Step-by-step explanation:
If t varies inversely with the speed, the formula for that is t= \frac{k}{r} . If t = 2 and r = 40, then we can solve for k, the constant of variation. Multiply both sides by 40 to get k = 80. Now we need to find the value for t when r = 45. Using the k value we just solved for, we will fill in the equation as t= \frac{80}{45} for a t value of about 1.78 hours
...............................................................................................................................................
Answer: about 1.78 hours
...............................................................................................................................................
t = k/r
2 = k/67
k = 134 (which happens to be the distance)
t = 134/r
t = 134/55
t = 2.436 hours
...............................................................................................................................................
The formula for this is t = k/r, read "t varies inversely as r". If the info they give us is 4 hours and 35 miles per hour, we find that k = 140. Now use that 140 in another equation to solve for t: t = 140/45, and t = 3.1 hours
...............................................................................................................................................
t = k/r\
4 hours and 35 miles per hour,
we find that k = 140.
Now use that 140 in another equation to solve for t:
t = 140/45, and
t = 3.1 hours
What is the solution for x In the inequality -3x+4<16
Answer:
x > -4
Step-by-step explanation:
-3x + 4 < 16
-3x < 16 - 4
-3x < 12
-x < 4
x > -4
Answer:
x > -4
Step-by-step explanation:
-3x+4<16
Subtract 4 from each side
-3x+4-4<16-4
-3x < 12
Divide each side by -3, remembering to flip the inequality since we are dividing by a negative.
-3x/-3 > 12/-3
x > -4
Sawyer used $10.25 to buy a new journal. He has $39.75 left in his savings account. How much money did Sawyer have before he bought the journal
Answer:
Sawyer had $50 in his account before his purchase.
Step-by-step explanation:
$10.25 + $39.75 = $50
So he had $50 before he bought the journal
Hope this helps! good luck :)
HELP I NEED THIS RN ITS DUE IN LIKE 5 MINS A CARTON CAN HOLD 1,000 UNIT CUBES THAT MESURE 1 INCH BY 1 INCH DESCRIBE THE DIMENSIONS OF THE CARTON USING UNIT CUBES
Answer:
the dimensions would b 10 10 and 10
A 26 foot ladder is set against the side of a house so that it reaches up 24 feet. If Mila
grabs the ladder at its base and pulls it 12 feet farther from the house, how far up the side of the house will the ladder reach now?
Answer:
13.9
Step-by-step explanation:
13.85 feet far up the side of the house will the ladder reach now.
Given that, a 26 feet ladder is set against the side of a house so that it reaches up 24 feet.
What is heights and distances in trigonometry?In mathematics, you can calculate the height of an object using the distance and angles. Here distance is the horizontal distance between the object and the angle is the angle above the horizontal of the top of the object, which gives the height of the object.
Let the distance between base of house to foot of the ladder be x.
Using Pythagoras theorem 26²=24²+x²
⇒ 676 = 576 + x²
⇒ x² = 100
⇒ x =10 feet
Mila grabs the ladder at its base and pulls it 12 feet farther from the house.
Now, the distance between base of house to foot of the ladder = x+12
= 10+12 = 22 feet.
So, up the side of the house the ladder reach = 24-h
Then, 26² = (24-h)²+22²
⇒ 676 = (24-h)²+484
⇒ (24-h)² = 192
⇒ (24-h) = √192
⇒ (24-h) = 13.85
⇒ h = 24-13.85
⇒ h = 10.15 feet
Therefore, 13.85 feet far up the side of the house will the ladder reach now.
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-0.85 - (-¼) + 0.4 + (-⅖) ?
what is the value of this expression?
Answer:
-0.6
Step-by-step explanation:
-0.85-(-1/4)+0.4+(-2/5)
=-0.85+0.25+0.4-0.4
=-0.6
Graph
plz step by step
Answer:
Step-by-step explanation:
The equation shown in the question can be seen graphed in the image attached below. As you can see with the graphed equation the variable x can be any real number except for -1. This is because a -1 would cause the denominator of the fraction to be equal to 0, and a fraction with a denominator as 0 is a null value and does not exist.
what in the world does +1 represent??? thank you!
Answer:
the y intercept
so up 1 from (0,0)
What is the angle through which the pendulum oscillates between two maximum positions?
Answer:
does this help
Step-by-step explanation:
What is the maximum angle of a pendulum?
Paul Appell pointed out a physical interpretation of the imaginary period: if θ0 is the maximum angle of one pendulum and 180° − θ0 is the maximum angle of another, then the real period of each is the magnitude of the imaginary period of the other.
I have a 3 yellow m&m's, 5 blue m&m's, and 4 red m&m's. What is the probability if I choose a red and do not not put it back and then choose a yellow?
Answer:
8.3% probability
Step-by-step explanation:
(3) YELLOW ⇒ [tex]\frac{3}{12}[/tex] ⇒ 25%
(5) BLUE ⇒ [tex]\frac{5}{12}[/tex] ⇒ 41.6%
(4) RED ⇒ [tex]\frac{4}{12}[/tex] ⇒ 33.3%
║(12) IN TOTAL
[tex]\frac{4}{12}[/tex] ⋅ [tex]\frac{3}{12}[/tex] = [tex]\frac{1}{12}[/tex]
[tex]\frac{1}{12}[/tex] = 8.3%
PROBABILITY OF (1) RED, AND (1) YELLOW ⇒ 8.3% probability
To make a jug of plant fertilizer, Malaika uses 6 cups of water and 3 scoops of fertilizer. Bart uses 8 cups of water and 5 scoops of fertilizer. Will Malaika's and Bart's plant fertilizer have the same strength? Explain.
Answer:
No they will no have the same strength. So what I did was find a common number between them so between 8 and 6 they both can be multiplied to 24. So 6 goes into 24 4 times so I multiplied 3 times 6 and then 8 goes into 24 3 times so I multiplied 3 and 5 and so the final answer is that bart has more strong fertilizer
Step-by-step explanation:
6*4=24 4*3=12
8*3=24 5*3=15
Geometric sequence
Answer options:
A) an=54(-3)n-1
B) an=-2(-3)n-1
C) an=25(-2)n-1
D) an=4(-5)n-1
what do I do and how
Answer:
f(x) is another way of saying "y", but when x is replaced with a number, it just means that x = that number.
Since A says to find f(7), it means that in this scenario, x = 7. So, 2x - 5 is turned into 2(7) - 5, which equals 14 - 5, which equals 9.
So, f(7) = 9.
You can then apply this to the rest of the numbers you are given.
I hope this helps! :)
Suppose that when your friend was born, your friends parents deposited $2000 in an account paying 5.9% interest. What will the account balance be after 15 years?
Answer:
FV= $4,725.74
Step-by-step explanation:
Giving the following information:
Initial investment (PV)= $2,000
Number of periods (n)= 15 years
Interest rate (i)= 5.9% = 0.059
To calculate the Future Value, we need to use the following formula:
FV= PV*(1 + i)^n
FV= 2,000*(1.059^15)
FV= $4,725.74
(X^2 - 8x + 12) / x- 6
Answer:
X2x−14+12x
Step-by-step explanation:
–6x − 8y = –14
y = –2
Answer:
x = 5
Step-by-step explanation:
If you input the y-value into the equation you get x = 5.
-6x-8(-2) = -14
-6x+16 = -14
-6x+16-16 = -14-16
-6x = -30
(-6x)/-6 = (-30)/-6
x = 5
A spinner is 1/6 red, 1/12 blue, 1/2 yellow and 1/4 green, what is the probability of spinning red or yellow?
Answer:
2/24
Step-by-step explanation:
This is because there are chance of getting the other colors.
In the 8-sided figure below, adjacent sides meet at right angles and the lengths are given are in meters. What is the perimeter of the figure, in meters?
40
40
80
80
120
120
160
160
400
400
Answer:
80
Step-by-step explanation:
Look at the figure below. The perimeter is the same as if the corners were moved out to form a square. Then you have 4 congruent sides of length 20.
P = 4 * 20 = 80
The perimeter of a shape is the summation of the sides of the shape. The perimeter of the shape is 80 units.
From the attached figure, we have the following observations
All sides of the shape are either vertical or horizontal lineNone of the side lengths overlapsThis means that if the shape is drawn (see attachment) to have 4 sides, opposite sides of the shape will be congruent.
The first side length is:
[tex]Length = 20[/tex]
While the adjacent side length is:
[tex]Width = 12 + 8 =20[/tex]
The perimeter (P) of the shape is then calculated as follows:
[tex]P = 2 \times (Length + Width)[/tex]
[tex]P = 2 \times (20 + 20)[/tex]
[tex]P = 2 \times 40[/tex]
[tex]P = 80[/tex]
Hence, the perimeter of the shape is 80 units.
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I WILL GIVE THE BRAINLIEST TO WHOEVER CAN SOLVE THIS RIGHT NOW!!
Central Park is shaped like a rectangle. Two diagonally-opposite corners of the park are located at (-8, 6) and (5, -4) on the coordinate plane.
Which coordinate pairs are the locations of the other two corners?
The two coordinate pairs for the locations of the other two corners are shaped in rectangle. Two diagonally oposite corners of the park are located ( - 6, 3) and (3, 4)
Hope this helped you!
(pls branliest too thanks)
Anything help plz
Mr. McGill is solving the following problem: 42x=163. Mr. McGill set 2x=3 and got x=32 as his answer. Tell the mistake Mr. McGill made and tell the correct answer.
Answer:
3.88
Step-by-step explanation:
Given that
42x = 163
It set 2x = 3
and x = 32
We need to tell the mistake and mentioned the correct answer
if we solve the above equation i.e.
42x = 163
x = 3.88
Hence, in this way it should be calculated
The same would be considered and relevant
Hence, the correct answer is 3.88
What is 2 units up and 0 to the right from (-4,2).
Answer:
Step-by-step explanation:
What is 2 units up and 0 to the right from (-4,2).
Answer:
(-4,4)
Step-by-step explanation:
What is the value of 4/15 divided by 2/3
Answer:
2/5 or 0.4
Step-by-step explanation:
Answer:
2/5
Step-by-step explanation:
4/15 *3/2
12/30
6/15
2/5
Select all the expressions that are equivalent to 3x – 1.
7x + 2x – 6x – 1
2(2x – 1) – x + 1
3(x – 1) + 1
12(6x – 2)
6x – 12(4x + 2)
Answer:
first
2nd
_______________
Which graph best represents the
solution to the following pair of
equations?
y = -X - 5
y = 2x + 4
Answer: The first graph
Step-by-step explanation: I used a graphing calculator
Which model represents 1/2 divided by 1/6?
Answer:
The answer I believe is : D.
~ Hope this is correct, if I'm wrong I'm sorry, have a gr8 day/ night my friend!~
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
express 12.383838 in p/q form
Answer:
12383838 is the answer
1000000
What is the highest degree of the graph shown above?
a 5
b 60 degrees
c 4
d Not enough information to answer the question
Steffie makes a scale drawing for a crate with a scale factor of 1 to 3 the dimensions of her scale drawing are 15 inches long by 12 inches wide. The builder creates a scale drawing of the crate with a scale factor of 1 to 9
Answer:
The length is 5 inches and the width is 4 inches
Step-by-step explanation:
Steffie makes a scale drawing for a crate with a scale factor of 1:3. The dimensions of her scale drawing are 15 inches long by 12 inches wide. The builder creates a scale drawing of the crate with a scale factor of 1:9. What are the dimensions of the builder's scale drawing? A. The length is 4 inches and the width is 5 inches B. The length is 45 inches and the width is 36 inches. C. The length is 5 inches and the width is 4 inches. D. The length is 36 inches and the width is 45 inches
A scale drawing is a reduced form in terms of dimensions of an original image / building / object
the scale drawing is usually reduced at a constant dimension
scale of the drawing = original dimensions / dimensions of the scale drawing
dimensions of the image steffie scaled = (15 x 3) by (12 x 3) = 45 by 36
Builders scaled image = (45 / 9) by (36 /9) = 5 by 4
