Step-by-step explanation:
[tex]\frac{8}{5}[/tex]÷6[tex]\frac{3}{4}[/tex]
First, simplify the 6[tex]\frac{3}{4}[/tex] to an improper fraction, which is:
[tex]\frac{27}{4}[/tex]
Next rewrite the equation using the improper fraction:
[tex]\frac{8}{5}[/tex]÷[tex]\frac{27}{4}[/tex]
Now, in order to divide the fraction, we will need to flip the second fraction over, and then multiply the two fractions together. A great way to remember this is the phrase Copy Dot Flip - Copy the first fraction, put a dot for multiplication, and flip the second fraction.
[tex]\frac{8}{5}[/tex]·[tex]\frac{4}{27}[/tex]
Finally, multiply together and simplify/reduce if needed:
The final answer is [tex]\frac{32}{135}[/tex] and no simplification or reduction is needed
You can buy 3 apples at the City Market for $1.20. You can buy 5 of the same apples at Shop and Save for $2.10. Which place is the better buy?
Answer:
Shop and save
Step-by-step explanation:
Answer:
You can buy 5 of the same apples at Shop and Save for $2.10.
Step-by-step explanation:
Kevin was playing a trivia game. For each correct answer he scored 1 1 / 2 points. For each incorrect answer he scored - 1 / 2 point. What was his final score if he got 8 correct and 3 incorrect?
Answer:
42.5
Step-by-step explanation:
Point for correct score = [tex]\frac{11}{2}[/tex] = 5.5
Point for incorrect score = [tex]\frac{1}{2}[/tex] = 0.5
Unknown:
Final score = ?
Solution:
Number of correct score = 8
Points gained = 8 x 5.5 = 44
Number of incorrect score = 3
Points lost = 3 x 0.5 = 1.5
His final score = 44 - 1.5 = 42.5
Given the function d (t) = 50t, the variable t represents which of the following
Output
Independent variable
Function
Input
Depended variable
Answer:
The input of the function
Step-by-step explanation:
Water flows through a pipe at a rate of 710 pints per day. Express this rate of flow in cubic feet per month.
Answer:
355.923 cubic feet per month
Step-by-step explanation:
Units Conversions
We need to convert from pints/day to cubic feet/month. Two basic conversions are needed:
1 US pint = 0.0167101 cubic foot
1 month = 30 days (average)
710 pints are equivalent to 710 * 0.0167101 = 11.8641 cubic feet
That volume corresponds to a daily flow. For a monthly flow, multiply by 30:
355.923 cubic feet per month
The cruising speed of a 747 airplane is 9,944 in per second what is the speed to the nearest foot per second
Answer:
Divide 9944 by 12 feet per second
828.666 or 828.7
Step-by-step explanation:
9514 1404 393
Answer:
829 ft/s
Step-by-step explanation:
Multiply by a conversion factor that cancels the units you don't want and gives you the units you do want.
[tex]\dfrac{9944\text{ in}}{\text{s}}\times\dfrac{1\text{ ft}}{12\text{ in}}=\dfrac{828.\overline{6}\text{ ft}}{\text{s}}\approx\boxed{829\text{ ft/s}}[/tex]
The value of a share of stock in an electronics company increased by 2/3 % during one week. If the value of a share of stock was $141 at the beginning of the week, estimate the increase in value of a share of stock at the end of the week.
Answer:
An increase of $0.94
Step-by-step explanation:
What is the slope of the line graphed below?
y = x²+1 at x=1 what’s the solution?
KOT
2
1013
67
Motorcycle
Walking100
a) How many students ride in a tricycle, motorcycle and car going to their school
b) How many students ride in both a motorcycle and a tricycle?
c) How many students ride in both a motorcycle and a car?
d) How many students ride in both a car and tricycle?
e.)How many students go to school
in a car only;
in a motorcycle only;
30
Answer:
a. 15 students
b. 32 students
c. 35 students
d. 34 students
e. 55 students
f. 67 students
Step-by-step explanation:
See attachment for complete question
Solving (a): Tricycle, Motorcycle and Car
This is the intersection of Tricycle, Motorcycle and Car.
From the attached Venn diagram, there are 15 students in this category
Solving (b): Tricycle and Motorcycle.
This is the intersection of Tricycle and Motorcycle.
From the attached Venn diagram, we observe the following data:
[tex]Tricycle\ and\ Motorcycle\ only =17[/tex]
[tex]All = 15[/tex]
[tex]Tricycle\ and\ Motorcycle = All + Tricycle\ and\ Motorcycle\ only[/tex]
[tex]Tricycle\ and\ Motorcycle = 15 + 17[/tex]
[tex]Tricycle\ and\ Motorcycle = 32[/tex]
Solving (c): Car and Motorcycle.
This is the intersection of Car and Motorcycle.
From the attached Venn diagram, we observe the following data:
[tex]Car\ and\ Motorcycle\ only = 20[/tex]
[tex]All = 15[/tex]
So:
[tex]Car\ and\ Motorcycle = All + Car\ and\ Motorcycle\ only[/tex]
[tex]Car\ and\ Motorcycle = 15 + 20[/tex]
[tex]Car\ and\ Motorcycle = 35[/tex]
Solving (d): Car and Tricycle.
This is the intersection of Car and Tricycle.
From the attached Venn diagram, we observe the following data:
[tex]Car\ and\ Tricycle\ only = 19[/tex]
[tex]All = 15[/tex]
So:
[tex]Car\ and\ Tricycle = All + Car\ and\ Tricycle\ only[/tex]
[tex]Car\ and\ Tricycle = 15 + 19[/tex]
[tex]Car\ and\ Tricycle = 34[/tex]
Solving (e): Car only
From the attached Venn diagram, we observe the following data:
[tex]Car\ only = 55[/tex]
Solving (e): Motorcycle only
From the attached Venn diagram, we observe the following data:
[tex]Motorcycle\ only = 67[/tex]
A student receives a gift card and decides to purchase medium coffees on it at the same coffee shop daily until her
funds are depleted. After purchasing two coffees, her balance is $23.28 (2, 23.28). After buying five coffees, her
balance is $13.20 (5. 13.20). How many total coffees can she buy on the gift card? What was the original balance on
the gift card? Use the graph and table below to help construct a linear function representing this scenario. Type your
solutions in the text box.
Answer:
4x4=shaggy
Step-by-step explanation:
Labor costs. Labor costs for a farmer are $55 per acre for corn and $45 per acre for soybeans. How many acres of each crop should the farmer plant if he wants to spend no more than $6,900 on labor?
Answer:
392984
Step-by-step explanation:
FIRST RIGHT GETS BRAINLIEST. Find the decimal and Percent of 2/3
Answer:
0.667 and 66.67% rounded
Step-by-step explanation:
2/3 = 0.66666 repeating which can be rounded to 0.667
2/3 = 66.6666% repeatinf which can be rounded to 66.67%
_
Answer: Decimal = 0.6 Percent = 66.67%
Step-by-step explanation: The line above the 6 in 0.6 stands that it repeats over and over again, and the percent is 66.67% because if you divide 100/3x2, you get 66.67.
Jeannine puts 10% of her paycheck into a savings account. If she makes $500 each week,
how much does she put in her savings account each week?
Answer:
$50
Step-by-step explanation:
Solve the following step by step
Answer:
12
by-step explanation:
20. Bob had 7/8 pack of construction paper. If he used 1/5 of the paper to 5 points
make a paper plane, how many WHOLE paper planes could he make? *
Answer:
3
Step-by-step explanation:
he has 7/8 paper divided by 1/5 paper it takes to make the paper plane, it equals 3.5. Three whole ones
Dustin surveyed 50 students at his school about their music preferences. The results are in the table.
Music Preference Survey
Type of Music
Hip-Hop- 18
Country- 13
Rock- 11
Other- 8
There are a total of 722 students at Dustin’s school. Based on the survey results, which is the best estimate of the number of students who prefer hip-hop music?
A. 180 students
B. 240 students
C. 260 students
D. 405 students
Answer:
240
Step-by-step explanation:
260 students prefer hip-hop music.
What is Percentage?To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.
Given:
According to Dustin Survey Hip hop music liked by 18 out of 50
In percentage we can write
x% of 50= 18
50x /100 = 18
x/2 = 18
x= 36%
So, Out of 722 students number of students who prefer hip-hop music
= 36% of 722
= 36/100 x 722
= 260
Hence, 260 students prefer hip-hop music.
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Write 3.4 times 10^-2
Answer:
0.034
Step-by-step explanation:
10^-2 is 1 over 100 times 3.4
insert 6A.M's between 15 and -13
Answer:
-13
Step-by-step explanation:
see if good
what is -3/8 ÷ 7/12 help
Answer:
-9/14
Step-by-step explanation:
Have a good day <3
Answer:
-9/14
Step-by-step explanation:
-3/8 ÷ 7/12
Flip the second fraction and multiply
-3/8 x 12/7
You can cross-simplify
-36/56
-9/14
Hope this helped!
Factorise fully
10c + 25
Answer:
5(2c+5)
I hope this helps
Solve:
5x + 10 = -15
Answer:
x= -5
Step-by-step explanation:
5x + 10 = -15
subtract 10 from both sides
5x = -25
divide both sided by 5
x = -5
Hope this helps :)
The weekly demand function for x units of a product sold by only one firm is
p = 800 − 0.5x dollars, and the average cost of production and sale is C(with a line on top) = 300 + 2x dollars.
(a) Find the quantity that will maximize profit.
(b) Find the selling price at this optimal quantity.
(c) What is the maximum profit?
Answer:
a) x = 798 is the quantity that maximizes the profit
b)po(x) = 401 $/unit
c)P(max ) = 636105 $
Step-by-step explanation:
The weekly demand function is equal to the price by unit and the Revenue function is weekly demand times quantity of units then:
R(x) = p(x) * x
R(x) = ( 800 - 0,5*x ) * x
R(x) = 800*x - 0,5*x²
The equation for the profit is:
P(x) = R(x) - C(x)
P(x) = 800*x - 0,5*x² - ( 300 + 2*x)
P(x) = 798*x - 0,5*x² - 300
a) P(x) = 798*x - 0,5*x² - 300
Taking derivatives on both sides of the equation:
P´(x) = 798 - x
If P´(x) = 0 then 798 - x = 0
x = 798 is the quantity that maximizes the profit
b) Selling price for the optimal quantity is:
p(x) = 800 - 0,5*x
p(x) = 800 - 0,5* 798
po (x) = 800 - 399
po(x) = 401 $/unit
c) Pmax = ?
P(x) = 798*x - 0,5*x² - 300 by subtitution of x = 798
P(max) = 636804 - 399 - 300
P(max ) = 636105 $
a) The quantity that will maximize profit is [tex]100 \ units[/tex].
b) The selling of at this optimal quantity is [tex]\[/tex][tex]750[/tex] per unit.
c) So, the maximum profit is [tex]\[/tex][tex]25000[/tex].
Demand Function:A demand function is a mathematical equation that expresses the demand for a product or service as a function of its price and other factors such as the prices of the substitutes and complementary goods, income, etc.
The given demand function,
[tex]P=800-\frac{1}{2}x[/tex]
So, the revenue function is,
[tex]R(x)=p.x\\R(x)=800-x-\frac{1}{2}x^{2}[/tex]
[tex]\Rightarrow[/tex]Average cost is
[tex]\bar{C}=300+2x[/tex]
So, the total cost function is,
[tex]C\left ( x \right )=\bar{C}.x \\ C\left ( x \right )=300x+2x^{2}[/tex]
a) Profit function:
[tex]P\left ( x \right )=R\left ( x \right )-C\left ( x \right ) \\ =800x-\frac{1}{2}x^{2}-300x-2x^{2} \\ P\left ( x \right )=500x-\frac{5}{2}x^{2}[/tex]
For maximum,
[tex]{P}'\left ( x \right )=0 \\ 500\left ( 1 \right )-\frac{5}{2}\left ( 2x \right )=0 \\ 500-5x=0 \\ x=100[/tex]
b) Selling Price:
[tex]P=800-\frac{1}{2}x \\ at \ x=100 \\ P=800-\frac{1}{2}\left ( 100 \right ) \\ =\$ 750[/tex]
c) Maximum Profit:
[tex]P\left ( x \right )=500x-\frac{5}{2}x^{2} \\ P\left ( 100 \right )=500\left ( 100 \right )-\frac{5}{2}\left ( 100 \right )^{2} \\ P\left ( 100 \right )=\$ 25000[/tex]
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A giant garter snake is at least 64 inches long. If 1 inch is equal to
2.5 cm, how long is the Giant garter snake in cm?
Answer:
The snake would equal 160cm.
Step-by-step explanation:
Correct me if im wrong plz
Please answer quickly I really need this answer
Answer:
The answer is 10
Please help (click picture)
Answer:check photo
Step-by-step explanation:
find m ABC (2x) (5x+5)
Answer:
=130
Step-by-step explanation:
(2x) (5x+5) = 180
7x + 5 = 180
7x = 175
x = 25
5(25) + 5 = 125 + 5 = 130
Hope this helps (:
30x + 40y =
what is the answer please help me
Answer:
10(3x + 4y)
Step-by-step explanation:
A linear function f models a relationship in which the dependent variable decreases 3 units for every 2 units the independent variable increases. The value of the function at 0 is -5. Identify the slope, y-intercept, and x-intercept of the graph.
FULL EXPLANATION PLEASE.
Answer:
this is your question
Step-by-step explanation:
please mark as brainliest
The slope of the linear function would be 1/6, [y] - intercept will be equal to -5 and [x] - intercept will be equal to 1/30.
What is the general equation of a Straight line?The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.
The equation of a straight line can be also written to express proportional relationship as -
y = kx {k is constant}
We have a linear function f(x) that models a relationship in which the dependent variable decreases 3 units for every 2 units the independent variable increases. The value of the function at 0 is -5
Since the dependent variable decreases 3 units for every 2 units the independent variable increases, we can write -
3y = 1/2x
y = 1/6x
At [x] = 0, y = - 5
So -
y = (1/6)x - 5
Now -
slope = 1/6
[y] - intercept = - 5
y = 0 = (1/6)x - 5
(1/6)x - 5 = 0
1/6x = 5
x = 1/30
[x] - intercept = 1/30
Therefore, the slope of the linear function would be 1/6, [y] - intercept will be equal to - 5 and [x] - intercept will be equal to 1/30.
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A study was being conducted about birth weights of babies at a local hospital and found the average to be 7.6 pounds with a standard deviation of 1.3 pounds (the distribution was approximately normal). Many pre-mature births weights are in the lowest 1% of births. What would be the birth weight associated with the lowest 1%?
Answer:
The birth weight associated with the lowest 1% is 4.6 pounds.
Step-by-step explanation:
Let X represent the birth weights of babies.
It is provided that [tex]X\sim N(7.6,1.3^{2})[/tex]
It is also provided that many pre-mature births weights are in the lowest 1% of births.
Let x represent the births weights that are in the lowest 1% of births.
That is, P (X < x) = 0.01.
⇒ P (Z < z) = 0.01
The corresponding z-score is, z = -2.33.
Compute the value of x as follows:
[tex]z=\frac{s-\mu}{\sigma}\\\\-2.33=\frac{x-7.6}{1.3}\\\\x=7.6-(1.3\times 2.33)\\\\x=4.571\\\\x\approx 4.6[/tex]
Thus, the birth weight associated with the lowest 1% is 4.6 pounds.
488 points for defeating 61 enemies
Divide 488 by 61 to find the unit rate.
488/61 = 8
You get 8 points for defeating each enemy.
Hope this helps