Answer:
33L of 32%
15L of 16%
Step-by-step explanation:
x is the amount of 32% the remainder is 16%, together they make 48 of 27%
32x + 16(48 - x) = 27(48)
distribute
32x + 768 - 16x = 1,296
combine like terms
16x = 528
Divide both sides by 16
x = 33L of 32%
48 - x = 15L of 16%
⅜, ¼, ⅞ order in rational numbers
Answer:
7/8>3/8>1/4
Step-by-step explanation:
because 7/8=0.875
3/8=0.375
1/4=0.25
[tex] \frac{dh}{dt} = - \sqrt{5h} [/tex]
Determine
[tex] \frac{ {d}^{2}h }{d {t}^{2} } [/tex]
at h=16
I have attempted this and keep on getting about -0.28, but that is not an option.
If
[tex]\dfrac{dh}{dt} = -\sqrt{5h} = -\sqrt{5} \cdot h^{\frac12}[/tex]
then its derivative, using the power rule, is
[tex]\dfrac{d^2h}{dt^2} = -\sqrt{5} \cdot \dfrac12 h^{1-\frac12} = -\dfrac{\sqrt5}2 h^{-\frac12} = -\dfrac{\sqrt5}{2\sqrt h} = -\sqrt{\dfrac{5}{4h}}[/tex]
At h = 16, the second derivative has a value of
[tex]-\sqrt{\dfrac{5}{4\cdot16}} = -\sqrt{\dfrac{5}{64}} = -\dfrac{\sqrt5}{8} \approx -0.279508[/tex]
Your answer is essentially correct. Either what you submitted doesn't have enough precision or you're expected to give an exact answer (-√5/8).
Julie has 300ml of juice, She gives of the juice away.
How much juice does she give away?
Answer: Up to 300 ml because that is all she has in total. I think the question is missing parts.
Step-by-step explanation:
What are the coordinates for a
Nigerian Savings Bank pays interest at 9½% per annum compounded yearly. What is the amount if a person saves:
a N 5000 for 2 years
b N10 000 for 4 years
c N28 000 for 3 years?
Answer:
a) N5995.13
b) N14376.61
c) N36762.11
Step-by-step explanation:
For repetitive calculations, I like to use a spreadsheet or graphing calculator. __
The formula for the amount is ...
A = P(1 +r)^t . . . . . . where principal P is invested for t years at rate r compounded annually
a)The principal being invested is P = 5000. The interest rate is r = 9.5% = 0.095, and the time is t = 2 years. Putting these values into the formula gives ...
A = 5000(1 +0.095)^2
= 5000(1.199025) = 5995.125
This rounds to an account balance after 2 years of N5995.13.
The calculations for the other amounts and time periods are done the same way, but for different values of P and t. You can do these calculations by hand, but it is generally much easier to use a calculator, spreadsheet, or other tool.
The attachment shows use of a tool that lets a function be defined that takes P and t as arguments. It is shown as being evaluated for the different values of P and t in this problem.
b)A = N10,000(1 +0.095)^4 = N10,000(1.43766095) = N14376.6095
This rounds to an account balance after 4 years of N14376.61.
c)A = N28000(1.095)^3 ≈ N36762.11
Aaliyah has a loyalty card good for a discount at her local hardware store. The item she wants to buy is priced at $39, before discount and tax. After the discount, and before tax, the price is $33.54. Find the percent discount.
Answer:
14 % discount
Step-by-step explanation:
Item she wants to buy is priced at $39
After the discount, and before tax, the price is $33.54.
39.00 x .14 = 5.46
39.00 - 5.46 = $33.54
Answer:
16.13
Step-by-step explanation:
Need help with this 3 questions
Answer:
68. (-1, 0)
69. (0, 2)
70. (2, -1)
Step-by-step explanation:
The solution is the ordered pair (x, y) where the lines intersect. The graphs have no scale, so we must assume 1 grid space corresponds to 1 unit.
The first coordinate of the pair is the horizontal distance from the y-axis. Positive is to the right. The second coordinate of the pair is the vertical distance from the x-axis. Positive is up.
68. The point of intersection is 2 left of the origin on the x-axis. x=-2, y = 0.
(x, y) = (-2, 0)
__
69. The point of intersection is 2 up from the origin on the y-axis: y = 2, x = 0.
(x, y) = (0, 2)
__
70. The point of intersection is 2 right and 1 down from the origin: x = 2, y = -1.
(x, y) = (2, -1)
_____
It is a good idea to learn to read the coordinates of a point from a graph. You will be doing it a lot in your math courses.
There are about 1.61 kilometers in 1 mile. Let x represent the distance measured in kilometers and y represent the same distance measured in miles. Write two equations that relate a distance measured in kilometers and the same distance measured in miles.
kilometers = miles * 1.61
Miles = kilometers / 1.61
Now replace miles with y and kilometers with x
x = 1.61y
y = x/1.61
At Kenner Country Club, 45% of the members swim. If 3 people are selected at random, what is the probability that all three will say they swim at the club?
Step-by-step explanation:
so, we pick the first one. the probability this person swims is 0.45.
if yes, then we pick the second one. this one has also a probability of swimming of 0.45.
combined with the probability of the first one being a swimmer this is now 0.45×0.45.
the same with the third pick.
and we have the probability that all 3 swim of
0.45×0.45×0.45 = 0.45³ = 0.091125
that is rounded about 0.09 or 9%.
At a restaurant, the bill comes to $75. You decide to leave a 15% tip. What is the total amount you will owe for dinner and tip?
Answer:
75*.15=11.25 (tip amount)
75+11.25= $86.25 (total amount)
A salesperson works 40 per week at a job where she has two options for being paid. Options a is an hourly wage if 21$. Option b is a commission rate of 8% on weekly sales. How much does she need to sell this week to earn the same amount with two options?
A wedding ring costs £13000. Work out the price after a 11% price increase
Answer:
Step-by-step explanation:
Increased price = 11% of £ 13000
= 0.11 * 13000
= 1430
Price after increase = 13000 + 1430 = £ 14,430
Find the area of the shaded region. Round your answer to the nearest hundredth.
12=side length
The area of the shaded region is about — square units.
How do you find the area of the shaded region? Thank you!
Answer:
Step-by-step explanation:
Divide 360 by the number of sides in a regular polygon to find θ
θ = 360/5 = 72°
Use law of cosines to find the radius of the circle which equals the common length sides of the isosceles triangle
12² = R² + R² - 2•R•Rcos72
12² = 2R² - 2R²cos72
12² = 2R²(1 - cos72)
R² = 12² / 2(1 - cos72)
R² = 104.1993788...
R = 10.2078...
The height of the isosceles triangle is
h = Rcos(θ/2) = 10.2078cos(72/2) = 8.258291...
The shaded area is the area of the circle minus the area of the pentagon.
A = π(104.1993) - 5(½(12)(8.258291))
A = 327.35200... - 247.74874...
A = 79.6032575...
A = 79.60 units²
The Area of the shaded region is A = 79.60 units²
What is law of Cosine?A planar triangle's side's square is equal to the sum of the squares of the other sides minus the product of those sides and the cosine of the angle that separates them by two.
Given:
length= 12
So, Divide 360 by the number of sides in a regular polygon
θ = 360/5
θ = 72°
Use law of cosines
12² = R² + R² - 2 x R x Rcos72
12² = 2R² - 2R² cos72
12² = 2R²(1 - cos72)
R² = 12² / 2(1 - cos72)
R² = 104.1993788...
R = 10.2078...
Thus, the height of the isosceles triangle is
h = R cos(θ/2)
= 10.2078cos(72/2)
= 8.258291...
and, the shaded area is
A = π(104.1993) - 5(½)(12)(8.258291))
A = 327.35200 - 247.74874
A = 79.6032575
A = 79.60 units²
Learn more about Law of Cosine here:
https://brainly.com/question/17289163
#SPJ2
Find the area and the circumference of a circle with diameter 7 cm.
Use the value 3.14 for it, and do not round your answers. Be sure to include the correct units in your answers.
cm
Area:
7 cm
Circumference:
Х
Answer:
area = 38.465^2 cm
circumference = 21.98 cm
Step-by-step explanation:
area =
divide the diameter by itself and multiply radius by itself and multiply by 3.14
7/2 = 3.5 | (3.5)^2 = 12.25 | (12.25) (31.4) = 38.465^2 cm
circumference =
multiply the diameter by 3.14
(7) (3.14) | 21.98
^2 (squared)
Complete this sequence [20] [28] [35] [50] [V]
Answer:
72
Step-by-step Explanation:
28 -20=8
35-27=7
8+7=15
50-35=15
15+7=22
50+22=72
PLS HELPPPPPP NOWEW!!!!
Answer:
nasaan ung question ha how
The value of Y varies jointly with x and z, and Y=60 when x=3 and z=5. find the equation that represents this relationship
Solve the following equation for
y.
y+ 20 = x
Answer:
Y = x - 20
X = y + 20
Step-by-step explanation:
Please vote as brainliest!
Sally can paint a room in 4hours while it takes Steve 3 hours to paint the same room. How long would it take them to paint the room if they worked together.
It would take ___ hours.
(Type an integer of decimal rounded to one decimal place as needed)
Answer:It would take 1.700 hours.
Step-by-step explanation:
Answer:
Step-by-step explanation: then it would be 7 or 9 hours
3. Weight of cats, in pounds: 9, 11, 11, 12, 14, 14, 15, 15, 16, 17, 18, 18, 20, 22
Lowest value:
Highest value:
Spread:
Center value:
________
[tex] \: [/tex]
Weight of cats, in pounds: 9, 11, 11, 12, 14, 14, 15, 15, 16, 17, 18, 18, 20, 22
Lowest value: 9
Highest value: 22
Spread: 9 = 1, 11 = 2, 12 = 1, 14 = 2, 15 = 2, 16 = 1, 17 = 1, 18 = 2, 20 = 1, 22 = 1
Center value: (15 + 15)/2 = 30/2 = 15
what is 20/10 as a whole number
Hi there!
The answer is 2
If you divide 20 by 10, you will get 2 (it's a fact)
Hope it helps
~Just a joyous teen
#CarryOnLearning
Answered by
[tex]-SilentNature-[/tex]
Mikayla borrowed $ 40 from her mom . The function y = - 8x + 401 represents her outstanding balance y after x weekly payments, find the zero of the function.
Answer:
[tex]\frac{401}{8}[/tex]
Step-by-step explanation:
[tex]\sf{y\:can\:also\:be\:refered\:to\:as\:f(x)}[/tex]
[tex]\sf{Zeros\: are\: also\: called\: roots.}[/tex]
The roots (zeros) are the [tex]x[/tex] values where the graph intersects the [tex]x[/tex]-axis. To find the roots (zeros), replace [tex]y[/tex] with 0 and solve for [tex]x[/tex].
[tex]y = - 8x + 401\\\\0 = - 8x + 401\\[/tex]
[tex]-8x+401=0\\\\-8x+401-401=0-401\\\\-8x=-401\\\\\frac{-8x}{-8}=\frac{-401}{-8}\\\\x=\frac{401}{8}[/tex]
[tex]\sf{Therefore,\: the\: zero\: of\: this\: function\: is\: \frac{401}{8}[/tex]
Sarah can make a lemonade drink by mixing 3 cups of lemonade powder with 7 cups of water are necessary to make five lemonade drinks
Simplify square root of negative 64
Answer:
8 i
Step-by-step explanation:
Answer:
8 i
Step-by-step explanation:
for sure not 8 because i got it wrong on the test
-5a - 2.2 <17.8? Solve for a
Answer:
To solve for the value of a, you have to isolate “a“ on one side.
-5a - 2.2 < 17.8
Add 2.2 to both sides.
-5a < 20
Divide both sides by -5. Note: when you are dividing by a negative number, the direction of the sign switches.
a > -4
:)
So my math teacher is the type that if you don’t show your work you don’t get credit and well I for my work paper at home and she’s strict so I’m not sure what to say tomorrow to her since she also my home room teacher… does anyone have any excuse I could use that would work on her?
What's the present value of $9,500 discounted back 5 years if the appropriate interest rate is 4.5%, compounded semiannually?
Answer:
$427.50
Step-by-step explanation:
I think this is the answer because 4.5 percent of $9,500 is $427.50
A recipe calls for 1 1/2 teaspoons of cinnamon to make 2 dozen oatmeal cookies.
How many teaspoons of cinnamon are needed to make 60 oatmeal cookies?
please help
3 3/4
I need to type more, this is just filler. Ignore it.
What is 10/10 as a whole number
✫ Hello there! ✫
10/10 as a whole number is 1.
If a fraction's numerator is the same as its denominator, then the fraction equals 1.
Hope it helps!
~Just a joyous gal
#CarryOnLearning
Answered by
[tex]-SilentNature-[/tex]
The [tex]\frac{10}{10}[/tex] as the whole number is 1.
Given that,
The fraction is [tex]\frac{10}{10}[/tex]We need to write in a whole number.Based on the above information, the calculation is as follows:
[tex]= \frac{10}{10}[/tex]
= 1
Learn more:brainly.com/question/17429689
ANSWER!!! now please
Answer:
C) 85.0º
Step-by-step explanation:
a+2a+a+10=180
3a+10=180
3a=180-10
3a=170
a=42.5
a+10=52.5
2a=85
Answer:
B
Step-by-step explanation:
