Answer:
See Explanation
Step-by-step explanation:
Given
[tex]Sum = 3\frac{1}{3}[/tex]
Required
Determine the fraction used
Since options, were not given. I'll answer on a general term
Assume, Austin used 2 fractions (a and b)
Such that:
[tex]a + b = 3\frac{1}{3}[/tex]
Also:
Assume that:
[tex]a = \frac{2}{3}[/tex]
Note that this could be any fraction, but I chose to use 2/
Make b the subject in [tex]a + b = 3\frac{1}{3}[/tex]
[tex]b = 3\frac{1}{3} - a[/tex]
[tex]b = 3\frac{1}{3} - \frac{2}{3}[/tex]
[tex]b = \frac{10}{3} - \frac{2}{3}[/tex]
Take LCM
[tex]b = \frac{10-2}{3}[/tex]
[tex]b = \frac{8}{3}[/tex]
[tex]b = 2\frac{2}{3}[/tex]
So, the fractions are:
[tex]a = \frac{2}{3}[/tex] and [tex]b = 2\frac{2}{3}[/tex]
it cost 0.60 cents to run a fan for 4 hours how much does it cost to run the fan for 6 hours I need an answer asap
Answer:
$0.90
Step-by-step explanation:
So first you need to find the rate (showing how much money it costs to run for 1 hour) so you get 0.60 and divide it by 4 and its 0.15, then multiply 0.15 by 6 and get 0.90
find the value of each variable in the parallelogram
Answer:
Step-by-step explanation:
for the width
16-h=7
16-7=h
h=9
(g+4)=65
g=65-4
g=61degrees
The value of each variable in the parallelogram:
h = 9 and g = 61°.
What is parallelogram?A special form of quadrilateral called a parallelogram has both pairs of its opposite sides parallel and equal.
Given:
The shape is a parallelogram.
That means, the opposite sides are parallel and equal.
16 - h = 7
h = 16 - 7
h = 9
And opposite angles of a parallelogram are also equal.
g+4 = 65
g = 65 - 4
g = 61°
Therefore, the values are g = 61° and h = 7.
To learn more about the parallelogram;
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Jonny had ? cakes. He eats 1/2 of
his total amount of cakes. How much
cake does he have left?
Answer:
1/2 * (?)
Step-by-step explanation:
Divide (?) Cakes in half
Answer:
How many cakess did he have? impossible to answer otherwise
Step-by-step explanation:
the length of a rectangle garden is 5 m the area is 176 m2 what is the width of the garden
Answer:
Step-by-step explanation:
L = 5 m
area = L×W = 176 m²
5W = 176
W = 176/5 = 35.2 m
Help me out please I need you’re help with this question ✏️
the answer to your question might be (B).
(1.2 x 10-1)(7 x 104)
Complete the Scientific Notation
Answer:
it would be 8736x^2-728x
Step-by-step explanation:
60÷(63÷7)=
I don't understand plz help
Answer:
answer is simple
first we will solve the bracket
(63÷7)
it is 9
and then 60÷ 9
which gives 6.67
ꕥHere’s another one :Dꕥ
——————————————
What’s the distance between ( 0, 2) and ( 0, 5)?
——————————————
I think I know the answer but I’m not sure
Answer:
3 units
Step-by-step explanation:
difference in x=0 (0-0=0)
difference in y=3 (5-2=3)
Pls help me pls pls pls I’ll make brainliest
Answer:
Alr what do you need help with
please help giving lot of points
Answer:
They would need to sell 32 calendars to EXCEED their goal.
Explanation:
8 x 32= 256, which is more than the $250 needed!
Step-by-step explanation:
The value of a boat is depreciating at a rate of 7% per year. In 2006, the boat was worth $17,300. Find the value of the boat in 2011. Enter the exponential decay function for this situation.
The exponential decay function is y = .
In 2011 the boat will be worth $ .
Answer:
Step-by-step explanation:
[tex]V=Ar^t\\ \\ V=17300((100-7)/100)^t\\ V=17300(0.93)^{(y-2006)}\\ V(2011)=17300(0.93)^{(2012-2006)}=\$ 11192.29[/tex]
Evaluate -2x^2y, if x = -3 and y=-1.
-12
18
12
-18
Answer:
Option A is your answer
I need the answer to this problem please
Billy can run 2100 meters in 15 minutes. At this rate, how many meters can he run in 120 minutes?
Group of answer choices
A)3333.33
B)55.56
C)140
D)730.77
E)92250.00
F)17.5
G)2005.00
H)16800
I)8400
Answer:
The answer is C)140
11. Tell whether the equation has one, no solution, or infinitely many solutions 3(x-8) + 3 = 3x - 21
Answer:
infinitely many solutions.
Step-by-step explanation:
Which is the slowest reading rate?
A. 3 pages in 9 minutes
B. 4 pages in 10 minutes
C. 5 pages in 13 minutes
D. 7 pages in 20 minutes
Answer:
A. 3 pages in 9 minutes
Step-by-step explanation:
3 & 9 are all the lowest out of those options.
Students at Hampton Middle School sold T-shirts as a school fundraiser. Sylvie asked 12 random seventh-grade students how many T-shirts they sold for the fundraiser. The number of T-shirts each student sold is listed below.
3, 4, 8, 5, 2, 5, 0, 5, 3, 4, 3, 7
What is the mean of the data set rounded to the nearest tenth?
4.0 shirts
4.1 shirts
4.5 shirts
4.9 shirts
Answer:
4.1 shirts
Step-by-step explanation:
Mean can be found by adding all data points and dividing that by the total amount of data points.
There are 12 students selling shirt, which gives you 12 data points.
So (3+4+8+5+2+5+0+5+3+4+3+7)/12 = 4.083...
Which rounds to 4.1 shirts
Answer:
The correct answer is C: 4.1 shirts
Step-by-step explanation:
Did it on edge and got it correct
Hope This Helps!
Have a good day!
Help me out please mathematic ✏️
Simplify the ratio 100:120
5 cm
12 cm
What is the area
of this rectangle?
And why
Answer:
60cm^2
Step-by-step explanation:
5X12=60
Find cosX and cosZ. Write each answer as a fraction and as a decimal. Round to four decimals places, if necessary. Fractions to reduce and use /.
Answer/Step-by-step explanation:
Recall the acronym, SOHCAHTOA.
✔️Cos X = adj/hyp (CAH)
Adj = 10
Hyp = 26
Cos X = 10/26
Simplify
Cos X = 5/13 (as a fraction)
Cos X = 0.3846 (as a decimal to 4 d.p)
✔️Cos Z = adj/hyp (CAH)
Adj = 24
Hyp = 26
Cos Z = 24/26
Cos Z = 12/13 (as a fraction)
Cos Z = 0.9231 (as a decimal to 4 d.p)
The population of a certain species of insect is given by a differentiable function P , where P(t) is the number of insects in the population, in millions, at time t , where t is measured in days. When the environmental conditions are right, the population increases with respect to time at a rate that is directly proportional to the population. Starting August 15, the conditions were favorable and the population began increasing. On August 20, five days later, there were an estimated 10 million insects and the population was increasing at a rate of 2 million insects per day. Which of the following is a differential equation that models this situation?
a. P=2(tâ5)+10
b. dP/dt=2/5t
c. dP/dt=1/5P
d. dP/dt=5P
Answer:
Option C, dP/dt=1/5P
Step-by-step explanation:
The change is population of insects is directly proportional to the rate of change of population
Hence,
[tex]\frac{dP}{dt} \alpha P[/tex]
Or [tex]\frac{dP}{dt} = kP[/tex]
where K is the proportional constant
We will find the value of k
Keeping the given values of rate of change of population and population in above equation, we get -
[tex]\frac{2}{10} = k\\k = \frac{1}{5}[/tex]
Hence,
[tex]\frac{dP}{dt} = \frac{1}{5} P[/tex]
Find a. Give your answer in
the simplest form.
[?]
a
zva
d
а
45
30
b
с
Answer:
a=7
Step-by-step explanation:
7(sq rt 2)=(sq rt 98)
sin 45=a/(sq rt 98)
0.7071=a/(sq rt 98)
a=0.7071(sq rt 98)
a=7
subtract 10x^2-10x+2 from -8x^2+7x-7
Answer:
-18x^2+17x-9
Step-by-step explanation:
what is 240 x 343 x 234 x 123 x 23 - 89
Find the area of this polygon
Answer:
To find the area of a regular polygon, all you have to do is follow this simple formula: area = 1/2 x perimeter x apothem. Here is what it means: Perimeter = the sum of the lengths of all the sides. ... The formula for the area of a regular octagon is 4.828 s², where s is the length of any side.
Answer:
iahaksgsknslsnsknsjsmzjsjsjsksksns
A tech company bought a number of computers for its employees: 66 costing \$1600$1600 each, 44 costing \$1200$1200 each, and yy costing \$900$900 each, where yy is a positive odd integer. If the median price for all the computers purchased by the company was \$1200,$1200, what is the greatest possible value of yy
Answer:
5
Step-by-step explanation:
A tech company bought a number of computers for its employees: 6 costing $1600 each, 4 costing $1200 each, and y costing $900 each, where y is a positive odd integer. what is the greatest possible value of y
Solution:
The median of a group of numbers is the middle number when the group of numbers have been arranged either in ascending of descending other. The median of an even group of numbers is the average of the two most middle most numbers while the median of an odd group of numbers is the middle number.
Since there are 6 computers costing $1600, 4 computers costing $1200 each and y computers costing $900 each. Since y is odd, hence y + 6 + 4 would be odd and the median would be the middle number.
Given that the median price = $1200, this means that the middle of the group of numbers is $1200
900, 900, ..., 1200, 1200, 1200, 1200, 1600, 1600, 1600, 1600, 1600, 1600
Since y is odd, for the median price to be $1200, y has to be 3 or 5.
If y = 3:
900, 900, 900, 1200, 1200, 1200, 1200, 1600, 1600, 1600, 1600, 1600, 1600
median = $1200
If y = 5:
900, 900, 900, 900, 900, 1200, 1200, 1200, 1200, 1600, 1600, 1600, 1600, 1600, 1600
Median = $1200
Therefore the greatest possible value of y is 5
By knowing that the median must be $1,200, we will see that the greatest possible value of y is y = 9.
We know that the company bought:
6 computers costing $1,6004 computers costing $1,200y computers costing $900We know that y is a positive odd number.
We also know that the median is $1200, now we want to get the maximum value of y such that the median is $1200. (Remember that the median is the value of the middle element of the set).
Then we will have the distribution:
{ y elements, $1200, the other 3 $1200 computers plus the 6 $1600 computers}
Notice that y (the number of elements at the left of the median) must be equal to the number at the right of the median.
At the right of the median, we have a total of 9 computers, then y must be equal to 9.
The greatest possible value of y is 9.
If you want to learn more, you can read:
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A group decides to go white-water rafting on a river. The map they have of the river has the scale 3 inches:7 miles. On the map, the distance between the start point and the end point of their trip is 15 inches. What is the actual distance?
Factor the trinomial 2x^2+15x+7
Answer:
(2x+1)(x+7)
Step-by-step explanation:
2x2+15x+7
For a polynomial of the form ax2+bx+c
, rewrite the middle term as a sum of two terms whose product is a⋅c=2⋅7=14 and whose sum is b=15
.
Tap for more steps...
2x2+x+14x+7
Factor out the greatest common factor from each group.
Tap for more steps...
x(2x+1)+7(2x+1)
Factor the polynomial by factoring out the greatest common factor, 2x+1
.
(2x+1)(x+7)
Set up an integral for the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. Then use your calculator to evaluate the integral correct to five decimal places. x2 9y2
This question is incomplete, the complete question is;
Set up an integral for the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. Then use your calculator to evaluate the integral correct to five decimal places.
x² + 9y² = 9
(a) About
y = 3
(b) About
x = 3
Answer:
a) the volume of solid revolution is 18π² = 177.652879 ≈ 177.65288
b) the volume of solid revolution is 18π² = 177.652879 ≈ 177.65288
Step-by-step explanation:
a) the volume of solid of revolution
about y=3
Using SHELL METHOD;
Volume V = 2π . [tex]\int\limits^1_{y=-1} \,[/tex] (3-y) (2.3√(1-y²)) dy
= 12π . [tex]\int\limits^1_{y=-1} \,[/tex] (3-y) √(1-y²) dy
= 12π . [tex]\int\limits^1_{y=-1} \,[/tex] (( 3√(1-y²) - y(√(1-y²)) dy
= 12π[ [tex]\frac{3}{2}[/tex]π - 0 ]
= 18π² = 177.652879 ≈ 177.65288
Therefore, the volume of solid revolution is 18π² = 177.652879 ≈ 177.65288
b)
the volume of solid of revolution
about x=3
Using SHELL METHOD;
Volume V = [tex]\frac{4}{3}[/tex]π . [tex]\int\limits^3_{y=-3} \,[/tex] (3-x) ([tex]2.\frac{1}{3}[/tex]√(9-x²)) dx
= [tex]\frac{4}{3}[/tex]π . [tex]\int\limits^3_{y=-3} \,[/tex] (3-x) √(9-x²) dx
= [tex]\frac{4}{3}[/tex]π . [tex]\int\limits^3_{y=-3} \,[/tex] (3√9-x² -x√(9-x²) dx
= [tex]\frac{4}{3}[/tex]π [ [tex]\frac{27}{2} \pi[/tex] - 0 ]
= 18π² = 177.652879 ≈ 177.65288
Therefore, the volume of solid revolution is 18π² = 177.652879 ≈ 177.65288