12(x - t)
if x = 7 and t = 2
12(x - t) = 12(7 - 2) = 12 * 5 = 60
Answer:
60
An inlet pipe on a swimming pool can be used to fill the pool in 34 hours. the drain pipe can be used to empty the pool in 35 hours. if the pool is 1/2 filled and then the inlet pipe and drain pipe are opened, how long from that time will it take to fill the pool?
595 hours is time it will take to fill the swimming pool .
What are fraction ?A fraction is a mathematical symbol representing any quantity of equal parts, and it also represents a portion of a whole. When employed in conversational English, a fraction—such as one-half, eight-fifths, and three-quarters—indicates the number of components of a particular size.
Calculationinlet pipe will fill the pool in 34 hours. Every hour, it fills 1/34 of the pool
Outlet pipe will empty the pool in 35 hours. Every hour, it empties 1/35 of the pool.
In x hours we want 1/2 the pool to fill, since half is already filled.
We want (x/34) - (x/35) = 1/2
multiply by 1190 both sides, the LCD.
35x-34x=595 (1190/2)
x=595 hours
in that time 595/34-595/35=0.5
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Given the function f(x)= 7lx-4l, calculate the following values:F(0)=F(2)=F(-2)=F(x+1)=F(x^2+2)=
As given by the question
There is given that the function
[tex]f(x)=7\lvert x-4\rvert[/tex]Now,
First find the value of f(0):
Then, put the value of 0 for x into the given function.
Now,
[tex]\begin{gathered} f(x)=7\lvert x-4\rvert \\ f(0)=7\lvert0-4\rvert \\ f(0)=7\lvert-4\rvert \\ f(0)=7\cdot4 \\ f(0)=28 \end{gathered}[/tex]Then,
[tex]\begin{gathered} f(x)=7\lvert x-4\rvert \\ f(2)=7\lvert2-4\rvert \\ f(2)=7\lvert-2\rvert \\ f(2)=7\cdot2 \\ f(2)=14 \end{gathered}[/tex]Then,
[tex]\begin{gathered} f(x)=7\lvert x-4\rvert \\ f(-2)=7\lvert-2-4\rvert \\ f(-2)=7\lvert-6\rvert \\ f(-2)=7\cdot6 \\ f(-2)=42 \end{gathered}[/tex]Then,
[tex]\begin{gathered} f(x)=7\lvert x-4\rvert \\ f(x)=7\lvert x+1-4\rvert \\ f(x)=7\lvert x+1-4\rvert \\ f(x)=7\lvert x-3\rvert \end{gathered}[/tex]And,
[tex]\begin{gathered} f(x)=7\lvert x-4\rvert \\ f(x^2+2)=7\lvert x^2+2-4\rvert \\ f(x^2+2)=7\lvert x^2-2\rvert \end{gathered}[/tex]Michaels is very busy with work and her children so she decides to subscribe to. A monthly meal plan services. The company charges a flat monthly cost of $125 per month for their classic meals. Michelle wants to try a few of the family meals so she can have her babysitter over for dinner a few nights this month . One family meal costs $9.99 if Michelle cooks dinner for her babysitter three times this month using the family package and still purchases her classic meal package how much will Michelle pay for her subscription this month
Michelle will pay $154.97 if she cooks dinner for her babysitter three times this month using the family package and still purchases her classic meal package.
What is meant by cost?A cost function is a mathematical formula that shows how production costs change at different output levels. In other words, it calculates the total cost of production based on the quantity produced. The cost function can be used to calculate the average cost, which is the amount of money it costs to produce one unit on average.
The average cost function is A(x)=C(x)x A (x) = C (x) x A (x) = C (x) x, where x>0. The average cost per unit is calculated by dividing the total cost by the number of units produced.
Given,
Monthly cost of $125 per month for their classic meals
and one family meal costs $9.99
if Michelle cooks dinner for her babysitter three times this month using the family package, the the cost of 3 family meal cost will be
3 × $9.99 = $29.97 and still purchases her classic meal package
Hence, the total pay will be $125 + $29.97 = $154.97
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if the perimeter is 28 and part of it is 5 what is the cm
The other side of the rectangle is 9 cm.
Given that:-
Perimeter of the rectangle = 28 cm
One side of the rectangle = 5 cm
We have to find the other side of the rectangle.
Let the length of the rectangle be 5 cm and,
The breadth of the rectangle be b cm.
We know that,
Perimeter of the rectangle = 2(l + b)
Hence, we can write,
2(5 + b) = 28
5 + b = 28/2
5 + b = 14
b = 14 - 5
b = 9 cm
Hence, the other side of the rectangle is 9 cm.
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Working in the health sciences, you will find that you will have to make different kinds of mathematical conversions. Start this activity by reading through the following story problems to familiarize yourself with the various conversions that you will need to perform. Use the information below to answer the questions.Submit your answer (rounded to 2 decimals) and all work.Conversion Formulas1 oz = 29.57mL1 ml = 0.20 teaspoonsQuestion 7: Dymelor 0.75 g is ordered. Scored tablets are labeled 500 mg. each. How many tablets will you give?
Since 1 g is equal to 1000 mg, multiply 0.75 g by 1000 mg / 1 g to convert the given value to mg.
[tex]0.75g\cdot\frac{1000mg}{1g}=750mg[/tex]Since one tablet is 500 mg, multiply the obtained product by 1 tablet / 500 mg.
[tex]750mg\cdot\frac{1\text{ tablet}}{500\text{ mg}}=1.5\text{ tablet}[/tex]Thus, there must be 1.5 or 1 1/2 tablet.
Pierre's unicycle wheel has a diameter of 80 cm.
O
80 cm
a)
1
Tarks
b)
a) How far does the unicycle move if the
wheel turns once?
Give your answer in metres, correct
to 2 decimal places.
b) Pierre enters a 100 m unicycle race.
How many times must the wheel rotate
completely in order for Pierre to
travel 100 m?
Give your answer to the nearest
whole number.
+
m
1+ times
Answer:
80 cm ×2 = 160 but it is not there in the option
6) Endpoint: (5,0), midpoint: (1, -1)
hello
we're required to find the second end point from the given values
end point = (5, 0)
mid point = (1, -1)
to solve this problem, we'll need to use thw formula for mid-point
[tex]x,y=\frac{x_2+x_1}{2},\frac{y_2+y_1}{2}[/tex]now let's identify our variables
[tex]\begin{gathered} x=1,y=-1, \\ x_1=5,y_1=0 \\ x_2=\text{ ?} \\ y_2=\text{ ?} \end{gathered}[/tex]let's substitute in our values and solve respectively
[tex]\begin{gathered} x=\frac{x_2+x_1}{2} \\ 1=\frac{x_2+5}{2} \\ \text{cross multiply both sides} \\ 1\times2=x_2+5 \\ 2=x_2+5 \\ x_2=2-5 \\ x_2=-3 \end{gathered}[/tex]now let's do the same for y
[tex]\begin{gathered} y=\frac{y_2+y_1}{2} \\ -1=\frac{y_2+0}{2} \\ \text{cross multiply both sides} \\ 2\times-1=y_2+0_{} \\ -2=y_2 \\ y_2=-2 \end{gathered}[/tex]the values of the other end point are (-3, -2)
What is this expression in simplified form?
5√63-6√28
O A. 3√7
OB. 21√7
O C. 27√7
O D. 11√7
Answer:
23467788
Step-by-step explanation:
666789909 +75445899553235653889
I'm sure the
a survey asked a group of people the size of their households. the results are shown in the frequency distribution. what is the mean of the frequency distribution?
we have the following:
[tex]m=\frac{f_1+f_2+f_3+f_4+f_5}{5}[/tex]replacing:
[tex]\begin{gathered} m=\frac{4+12+6+2+1}{5} \\ m=\frac{25}{5} \\ m=5 \end{gathered}[/tex]therefore, the mean is 5
Which equation best describes the graph of the line that has 1 slope and passes through point (3,-9)? 3
is two over nine a rational number
Two over nince is fraction formed by two integers which equal a repeting decimal, which means it's a rational number.
Hence, the answer is yes.How many different values can a 16-bit binary number store? How many digits are needed fora hexadecimal number to do the same? How about a base-5 number? Show your work.
A very simple way to know the number of possible combinations in a binary number is given by the next formula:
[tex]2^n=2^{16}=65536^{}[/tex]Now, we should remember that an hexadecimal number contain 16 different digits, from 0 to F. Therefore
[tex]\begin{gathered} 16^n=65536 \\ n\ln 16=\ln 65536 \\ n=\frac{\ln 65536}{\ln 16} \\ n=4 \\ 16^4=65536 \end{gathered}[/tex]Thus, we will need 4 hexadecimal numbers to achieve the same values as a 16-bit number.
For the base-5 number we can do a similar procedure:
[tex]\begin{gathered} 5^m=65536 \\ m\ln 5=\ln 65536 \\ m=\frac{\ln 65536}{\ln 5} \\ m=6.89\approx7 \\ 5^7^{}=78125 \end{gathered}[/tex]Therefore, we would need at least 7 numbers base-5 to achieve something similar to 16-Bit number
Whats the anwser? need it asap
Answer:
B, yes because if you fold it in half then you have symmetry
Step-by-step explanation:
The quality of being made up of exactly similar parts facing each other or around an axis.
The equation 2x = 50-3x can be solved by graphing y = 2x and y=50-3x,
Use the drop-down menu to complete the statement to explain why a graph can be
used to solve this equation. Answer
The solution of the equation is x = 10. The graph is attached below.
We are given an equation. The equation has one variable. The equation is given below.
2x = 50 - 3x
First of all, we will solve the equation directly to find the solution.
2x = 50 - 3x
5x = 50
x = 10
The above equation can be also be solved by graphing y = 2x and y = 50 - 3x. These are two linear equations. These equations represent two straight lines. The solution is found by locating the intersection point of these two straight lines on the graph. The graph of the two straight lines is attached below.
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Answer:
20 is the answer
Step-by-step explanation:
Problem iD: PRABERUZ On a flight from New York to London, an airplane travels at a constant speed. An equation relating the distance traveled 1 in miles, d, to the number of hours flying, t, is t=d. How long will it take the airplane to travel 800 miles? 500 Do not include units (hours) in your answer. copted for free from openupresources.org
We have a relation between the distance traveled in miles (d) and the number of hours flying (t) that is t=(1/500)*d.
Then, when d=800, we have:
[tex]\begin{gathered} t=\frac{1}{500}\cdot d \\ t=\frac{1}{500}\cdot800=\frac{800}{500}=1.6 \end{gathered}[/tex]The time is 1.6 hours.
Answer: 1.6
J
9x-18,
M
B
- Part A What is the value of x? (1 point)
Ox=3
Ox=18
Ox=30
Ox=9
3x
Part B Find JM in the previous item. (1 point)
OJM=3
OJM=9
OJM=54
OJM=63
K
Answer:
[tex]x=3, JM=9[/tex]
Step-by-step explanation:
The triangles are congruent by SAS. Using CPCTC,
[tex]9x-18=3x \\ \\ -18=-6x \\ \\ x=3 \\ \\ \\ \\ JM=9(3)-18=9[/tex]
help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer: 9.7 seconds
Step-by-step explanation:
[tex]16t^2=1503\\\\t^2 =\frac{1503}{16}\\\\t=\sqrt{1503/16} \text{ } (t > 0)\\\\t \approx 9.7[/tex]
7) X to the third equals 216
Explanation
[tex]x^3=216[/tex]
Step 1
we can use the fact that
[tex]\sqrt[m]{a}=a^{\frac{1}{m}}[/tex]to isolate x, or in other words we can take the cubic root in both sides
so
[tex]undefined[/tex]x
8) Use the graph below to answer the question. If there are 180 students 10 pointsin the girls athletics program, then how many students participated insoccer?SPORTSSOCCER15% VOLLEYBALL20%TRACK35%BASKETBALL30%O 15O 202734
Soccer = 15%
Track = 35%
Vellyball = 20%
Basketball = 30%
Total = 100%
Number of students = 180
[tex]\begin{gathered} \text{Student that participated in soccer = }\frac{15}{100}\text{ x 180} \\ =\text{ }\frac{15\text{ x 180}}{100} \\ =\text{ }\frac{2700}{100} \\ =\text{ 27} \end{gathered}[/tex]Justin is taking an anti-flammatory drug and he must receive 6 milligrams for each 17 kg of weight. Justin weighs 244 pounds
Justin is taking an anti-flammatory drug and he must receive 6 milligrams for each 17 kg of weight.
Justin's weight is 244 pounds i.e., 110.677 Kg.
Theerfore, the amount of anti flammatory drug he needs is
[tex]\frac{6}{17}\times110.677\approx39.063[/tex]Therefore, Justing needs 39.063 miiligrams of anti flammatory drug.
Determine the equation of the line that passes through the point (1/−3,−9) and is perpendicular to the line 5y+x=1.
Given the following equation of a line:
[tex]5y+x=1[/tex]We will write the equation in the slope-intercept form: y = m x + b
[tex]\begin{gathered} 5y+x=1 \\ 5y=-x+1 \\ \\ y=-\frac{1}{5}x+\frac{1}{5} \end{gathered}[/tex]Now, we will find the equation of the line that is perpendicular to the given line.
Note: if the slope of the given line = m
So, the slope of the perpendicular line = -1/m
From the given line: slope = m = -1/5
So, the slope of the perpendicular line = -1/m = 5
The required line passes through the point (-1/3, -9)
We will use the point-slope form to write the equation of the required line:
[tex]\begin{gathered} (y-k)=m*(x-h) \\ \\ y-(-9)=5*(x-(-\frac{1}{3})) \\ \\ y+9=5x+\frac{5}{3} \end{gathered}[/tex]Simplify the equation to be like the standard equation:
[tex]\begin{gathered} y+9=5x+\frac{5}{3}\to\times3 \\ 3y+27=15x+5 \\ \\ 3y-15x=-22 \end{gathered}[/tex]So, the answer will be:
3y - 15x = -22
Omar and Devin both leave the bookstore at the same time, but in opposite directions. If Devin travels 7 mph faster than Omar and after 3 hours they are 93 miles apart, how fast is each traveling?
Omar and Devin both leave the bookstore at the same time, but in opposite directions.
Let the speed of Omar = x
Speed of Devin = x + 7
They travel for 3 hours
Speed = Distance/Time
Distance = Speed x Time
Since, they are 93 miles apart
93 = (speed pf Omar + Speed of Devin) Time
93 = (x + x + 7)3
93 = (2x + 7)3
93 = 6x + 21
93 - 21 = 6x
6x = 72
x = 72/6
x = 12
Thus, Speed of Omar is 12 mph
Speed of Devin : x + 7
x + 7 = 12 + 7
= 19
Thus, speed of Devin is 19mph
*Awnser this* Nikki should invest____ in the account paying 5% interest and ____ in the account paying 6.5% interest
Simple interest can be defined as the interest charged on the total amount of principal taken for a particular period of time.
Interest is only charged based on the use of funds. Calculating simple interest is fairly straightforward and is the fastest way to calculate interest.
[tex]\begin{gathered} I=P\cdot r\cdot t \\ A\to\text{Total amount} \\ P\to\text{Principal amount} \\ I\to\text{interest amount} \\ r\to\text{rate of the intererst per year in decimal} \\ t\to\text{time in years} \end{gathered}[/tex]Total amount of money inverted:
[tex]\begin{gathered} A+B_{}=250.000 \\ \\ \end{gathered}[/tex]Total interset earne
A book was bought for $40 and later sold at profit of 25%. What was the selling price of the book?
Answer:
The book was 50 dollars
Step-by-step explanation:
0.25% x 40 dollars = $10
10 + 40 (the original amount) = $50
Answer:
$50
Step-by-step explanation:
25% of $40 is $10 dollars. so a book sold with 25% profit is $50
how would I graph the line, 3x+4y= -4
Given the equation:
3x + 4y = -4
Let's graph the line that represents the equation above.
To grah the line, rewrite the equation in slope-intercet form:
y = mx + b
Where m is the slope and b is the y-intercept.
Rerite the equation for y:
3x + 4y = -4
Subtract 3x from both sides:
3x - 3x + 4y = -3x - 4
4y = -3x - 4
Divide all terms by 4:
[tex]\begin{gathered} \frac{4y}{4}=-\frac{3x}{4}-\frac{4}{4} \\ \\ y=-\frac{3}{4}x-1 \end{gathered}[/tex]The slope of the line is -3/4, while the y-intercept is at (0, -1).
Now, let's graph the line using 3 points.
• When x = -4:
Substitute -4 for x and solve for y
[tex]\begin{gathered} y=-\frac{3}{4}\ast(-4)-1 \\ \\ y=3-1 \\ \\ y=2 \end{gathered}[/tex]• When x = 0:
Substitute 0 for x and solve for y
[tex]\begin{gathered} y=-\frac{3}{4}\ast(0)-1 \\ \\ y=-1 \end{gathered}[/tex]• When x = 4:
Substitute 4 for x and solve for y
[tex]\begin{gathered} y=-\frac{3}{4}\ast4-1 \\ \\ y=-3-1 \\ \\ y=-4 \end{gathered}[/tex]Therefore, we have the following points:
(-4, 2), (0, -1) and (4, -4)
Plot the three points on the graph, then connect all 3 points using a straight edge.
We have the graph attached below:
2x+1=2(x-2) solve for x
Answer:
There is no solution to this equation
Step-by-step explanation:
2x+1=2(x-2)=
2x+1=2x-4
0x = -5
Answer is no solution
this statement is false
2x+1=2(x-2)
2x+1=2x-4
cancel equal terms
1=-4
help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer:
you have to solve the system:
1)W=L-6
2)W*L=72
so (L-6)*L=72
L^2-6L-72=0
(L-12)*(L+6)=0
so the answers for L are 12 and -6,but we only consider 12 cause there can't be -6miles. so L=12
and W=12-6, so W=6.
Answer:
Width = 6mi
Length = 12mi
Step-by-step explanation:
Let's say our length = x
Since the width is 6 miles less than the length, width = x - 6
The area of rectangle is width x length so just substitute your values
(x - 6)(x) = 72
therefore: x^2 - 6x = 72
*subtract 72 to form a quadratic equation
x^2 - 6x - 72 = 0
*solve by factorising
(x+6)(x-12) = 0
therefore x = -6 or 12
Since you can't have a negative length, x = 12
thus, our length is 12mi
To find the width, just subtract 6 which = 6mi
So: length = 12mi and width = 6mi
Raj completed his homework in 5/6 hour. His older brother took 1½ times as long as Raj did to
complete his homework.
How long did it take Raj's older brother to complete his homework?
Answer:
B
Step-by-step explanation:
I need help with my geometry homework thank you.
Answer:
2.5
Step-by-step explanation:
point B
4K = 10
4/4 K = 10/4 K
K = 5/2 = 2.5
help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Step-by-step explanation:
"how long" is the question.
so, we will need an answer in seconds.
the other options do not define a time duration.
to fall from top to the ground it means the object fell 1503 ft, that means that s(t) = 1503.
16t² = 1503
t² = 1503/16
t = sqrt(1503/16) = sqrt(9×167/16) = 3/4 × sqrt(167) =
= 9.692135987... seconds
it took the object 9.692135987... seconds to fall from the top to the ground.