Answer:
$2250
$2430
Step-by-step explanation:
If the seller made a profit of 20%, it means he sold the television at a price that is 20% higher than the cost price. That means that the sales price is 1.2 times higher than the cost price
let t = cost price of the television
the following equation can be derived
1.2 x t = $2700
divide both sides by 1.2
t = $2250
If there is a 10% discount, the television is (100 - 10%) 90% cheaper
0.9 x 2700 = $2430
Find the volume of a right circular cone that has a height of 7.5 m and a base with a
radius of 14.7 m. Round your answer to the nearest tenth of a cubic meter.
r = radius h = height s = slant height V = volume L = lateral surface area B = base surface area A = total surface area π = pi = 3.14159 √ = square root
Answer:
1697.2 <3
i got it right
HELP I NEED THIS ITS DUE IN AN HOUR!!!!
In ARST, the measure of ZT=90°, the measure of ZR=25°, and ST = 7.3 feet. Find the length of TR to the nearest tenth of a foot.
Step-by-step explanation:
ctg (25) = x / 7.3
2.1445 = x/ 7.3
x = 2.1445*7.3
x = 15.654
find the simple interest principle 950 interest rate 12% time 4 years
Answer:
A= $1406
Step-by-step explanation:
The formula for simple interest is A=P(1+rt), where P=Principal, R=Rate, and T=Time. Before you plug your numbers into your formula, you must first convert 12% to a decimal (This is simple because all you have to do is divide 12 by 100.)- 0.12.
Now, you can plug your numbers into the formula: A=950(1+0.12x4). To make this less complex, I suggest working in the parenthesis first- specifically simplifying rt, or multiplying 0.12 by 4 (you should get 0.48)! Now, you are just about ready to go. A=950(1+0.48)- You can plug this into your calculator as is, or you can go on ahead and add the numbers in the parenthesis if that makes you feel better! (You should get 1.48).
Your final formula should be 950(1.48), and you should plug this into a TEACHER-APPROVED CALCULATOR to save time!
Your final answer should be $1406, otherwise you did something wrong! XD!
Q1
A container has length 9750mm, width 6200mm and height 5500mm -
{a) Calculate its floor area in m2
(b) Calculate its volume in m3
Answer:
(a) 60.45 m2.
(b) 332.475 m^3.
Step-by-step explanation:
(a) area = length * width
= 9750 * 6200
= 60450000 mm^2
There are 1000*1000 = 1,000,000 mm^2 in 1 m^2 so the area in m^2
= 60.45 m^2.
(b) The height in meters is 5500 / 1000 = 5.5 m
Volume = area of floor * height
= 60.45 * 5.5
= 332.475 m^3.
2. The mean of 5 numbers is 10. The median is 13. What might the numbers be?
Find 2 different answers.
Mean is the average.
10 x 5 = 50
All 5 numbers need to add up to 50.
Median is the middle value, so there are 2 numbers below 13 and 2 numbers above 13.
Since the middle number is 13, the other 4 numbers must add up to equal 37 (50-13 = 37)
4 +3 = 7
14+16 = 30
1 set could be 3, 4 ,13, 14, 16
A 2nd set could be:
1 +2 = 3
16 + 18 = 34
1,2,13,16,18
hi please help i’ll give brainliest please
Answer:
6^3=6×6×6=216. So, the answer is 6x6x6 and 216.
Answer:
6x6x6, 3x3x3x3x3x3, 216
Step-by-step explanation:
6 to the third power is 6 times 6 times 6, also it's equal to 3 to the sixth power, also it's equal to 216.
You deposited $10,000 into a savings account that compounds quarterly. The account has an interest rate of 3%. What would be the value after 30 years?
Answer:
$24272.62
Step-by-step explanation:
Given data
Principal= $10,000
Rate= 3%
Time = 30 years
The expression for the compound interest is given as
A= P(1+r)^t
Substitute
A=10000(1+0.03)^30
A=10000(1.03)^30
A=10000*2.4272
A= 24272.62
Hence the final Amount A=$24272.62
GIVING BRAINLIEST!!!! Please help :(
Select the statement that describes this expression: (10 − 3) x 4 + 5.
A) 10 subtract 3 times 4 minus 5
B) 5 more than the difference of 10 and 3
C) Multiply 4 by the difference of 10 and 3, then add 5
D) 4 times the difference of 5 more than 10 and 3
Given Brainly to who ever help
Solve the equation for x.
2 x/3 = 100.6
A) x ≈ 2.22
B) x ≈ 19.96
C) x ≈ 0.41
D) x ≈ 6.65
Answer:
150.9
Step-by-step explanation:
2/3x=100.6
x=100.6/(2/3)
x=100.6(3/2)
x=150.9
Answer:
It is answer B
Step-by-step explanation:
How do I solve this problem? Thank you.
the model below, the anchor of a guy-wire is 16 feet away from the telephone pole. John puts a 5 foot pole under the guy-wire parallel to the telephone pole (see image below).
John knows the distance he put his pole from the anchor, which is labeled X. John says he can use similar triangles to calculate the height of where the guy-wire meets the telephon
ble.
o you agree with John's statement that he can prove similarity if we know side x? Provide mathematical justification.
h
5 ft
16 ft
В І у
Answer:
Yes, because the two triangles share common segments.
What are the missing numbers?
Answer:
You can use the formula 500 * 1.03^x to solve for any year.
year 4 is 500 * 1.03^(4) = 562.75
year 6 is 500 * 1.03^(6) = 597.03
Year 7 is 500 * 1.03^(7) = 614.94
Step-by-step explanation:
The amount is increasing, and there are two main ways for that to happen. Addition and multiplication. So let's see if it keeps getting the same amount added or multiplied.
0 to 1 goes from 500 to 515, so 15 is added. but 15.45 is added from 1 to 2, so we can't just do simple addition.
using multiplication 0 to 1 has 1.03 multiplied. if you multiply by it again you do get 530.45, so we have established what is happening.
You can use the formula 500 * 1.03^x to solve for any year.
so year 4 is 500 * 1.03^(4) = 562.75
year 6 is 500 * 1.03^(6) = 597.03
Year 7 is 500 * 1.03^(7) = 614.94
Identify the values of a, b, and c in the following quadratic equation. 6x 2 + x - 6 = 0
Answer:
[tex] a = 6 \\ b = 1 \\ c = - 6[/tex]
Step-by-step explanation:
[tex]6x^{2} + x - 6 = 0 \\ equating \: it \: with \\ a {x}^{2} + bx + c = 0 \\ a = 6 \\ b = 1 \\ c = - 6[/tex]
You earn $62.50 shoveling snow off of 5 driveways. You charge the same amount for each driveway. How much did you earn for each driveway?
Answer:
the answer is 62.5/5=12.5
Answer:
12.5
Step-by-step explanation:
62.50 ÷ 5 = 12.5
Hope this helps!
Find the length of midsegment JN in the trapezoid.
Answer:
JN = 18.6
Step-by-step explanation:
Theorem: The length of the midsegment of a trapezoid is the average of the bases.
[tex]JN = \frac{15.4 + 21.8}{2}[/tex]
[tex]= \frac{37.2}{2}[/tex]
= 18.6
See how easy that is when you know the theorem.
Each patron can borrow the books for 2 weeks and a renew the loan twice. What is the maximum number of days can a patron keep the books he borrowed from the library?
5x+8 = 18
Please answer fast
Answer:
5x + 8 = 18
5x = 18 - 8
5x = 10 (divide both sides by 5 to get x)
5x/5 = 10/5
x = 2
Step-by-step explanation:
also can i get brainliest
If janice plays a game once and the probability of getting yellow is 0.24. How many times will the color shown be yellow if she plays 50 times?
Answer: 12
Step-by-step explanation:
Given
The probability of getting yellow color is 0.24
If the no of trials is 50
[tex]\text{No. of times yellow color shown(N) is}=p\times \text{no of trails}\\\Rightarrow N=0.24\times 50=12\ \text{times}[/tex]
Yellow color appears 12 times
If barak spend 20$ at the mall. That represents 16% of the money he earned at the pizza parlor . How much money did barack earn
Answer:
$125
Step-by-step explanation:
20 is 16% of what number?
20 = .16n
n = 20/.16 = 125
Line l has equation y=-3. Find the distance between l and the point E(-7,0).
Round to the nearest tenth.
Answer:
The given line has slope m=1
the perpendicular line MUST have slope -1
Since it MUST eat (-3,2), the intercept formula says
B = y - mx = 2 - (-1)(-3) = 2 - 3 = -1
so the equation of the perpendicular line that eats point W is
y = -x -1
The lines y=x+3 and it's perpendicular y = -x-1 intersect at
y = x+3 = -x-1
2x+3 = -1
2x = -4
x = -2
THe intersection point is
(-2,1)
Finally by distance formula,
The distance between (-3,2) and (-2,1) is
sqrt ( (-3 - -2)^2 + ( 2-1)^2)
= sqrt( (-3 + 2)^2 + (2-1)^2)
= sqrt( (-1)^2 + 1^2)
= sqrt ( 1+1)
= sqrt(2)
Step-by-step explanation:
The distance between line l and the point E (-7, 0) will be;
D = 3.
What is distance between point and line?
The distance between a line ax + by + c = 0 and point (p, q) will be;
D = |ap + bq + c|/√a² + b²
Given that;
Equation of line;
y = -3
And, Point = E (- 7, 0)
Hence, The distance between a line and point is calculated as;
Equation of line;
y = -3
y + 3 = 0
Compare with ax + by + c = 0, we get;
a = 0, b = 1 and c = 3
And, Point = (p, q) = (-7, 0)
Thus, The distance between a line and point is;
D = |0 + 0 + 3|/√0+1
D = 3
So, The distance between line l and the point E (-7, 0) will be;
D = 3.
Learn more about the equation of line visit:
https://brainly.com/question/24656140
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I need help ASAP , State whether set of ordered pairs represent a function
{(-13,4) , (7,-15), (-13,9) (6,-12) (-18,0)
Answer:
No, the given set of pairs does not represent a function
Step-by-step explanation:
For a set of values to be a function, each input must have one and only one output value
Now, for the given set, we can note that:
The input -13 has two output values; 4 and 9
Therefore, this set is not a function
Hope this helps :)
find the value of x in a triangle. x-20, x+10, x-20
The value of the angles should be. (x-40°). , (x-20°), (½x-10°) , not (x-40°) + (x-20°)+(½x-10°)
Sum of all the interior angles of a triangle is 180°.
So a equation can be made by the given data,
(x-40°) + (x-20°) + (½ x-10°) = 180°
x-40°+x-20°+½x-10° = 180°
2x+½x -60°-10° = 180°
5/2 x - 70° = 180°
5/2 x = 180° + 70°
5/2 x = 250°
x = 250° × 2/5
x = 50° × 2
x = 100°
So the angles are
x-40° = 100°-40° = 60°
x-20° = 100°–20° = 80°
½x-10° = ½(100)° - 10° = 50° -10° = 40°
The answer can be checked by putting the values of the angle we got in the second statement i.e. Sum of all the interior angles of a triangle is 180°.
60° + 80° + 40° = 100° + 80° = 180°
62x+4=33x×2x+8 please solve it
You mix 4/5 quart of blue paint for every 1/3 quart of red paint to make 3 2/5 quarts of purple paint. How much blue paint and how much red paint do you use?
Answer:
1 quarts of red paint
2.4 quarts of blue paint
Step-by-step explanation:
Let :
a = quarts of blue paint
b = quarts of red paint
a + b = 3 2/5
a + b = 3.4 - - - (1)
Ratio of a and b :
a/b = 4/5 ÷ 1/3 = 4/5 * 3/1 = 2.4
a/b = 2.4
a = 2.4b - - (2)
From (1)
2.4b + b = 3.4
3.4b = 3.4
b = 1
a + b = 3.4
a + 1 = 3.4
a = 3.4 - 1
a = 2.4
Rewrite the equation in Ax+By=C form.
Use integers for A, B, and C.
y+2=3 (x-6)
Answer:
Step-by-step explanation:
It x=2
What number is 50 % of 6/5
Answer:
3/5.
Since the numerator is an even number, you can simply remove half of it.
Which equation is modeled on the number line?
A -7 -− 10 = -17 B 7 -− 10 = -3 C 7 -− (-10) = 17 D -7 -− (-10) = 3
Answer:
Option D
Step-by-step explanation:
For addition we move right on the number line and for subtraction we move left.
So, (-7) represents a 7 units to the left from the zero.
Then move 10 units right from (-7),
Therefore, (-7) + 10 = 3
Or (-7) - (-10) = 3
Option D is the correct option.
evaluate the function
Answer:
f=(x^2/2)+(9x/2)
Step-by-step explanation:
Diana uses a wheelbarrow to haul wood from her backyard to the back of her
neighbor's house, located 30 024 feet away. She can push the wheelbarrow
3336 feet before she has to take a break.
How far would she be after 7 breaks?