To solve the equation (6x2n)÷8=15 for n, you must perform algebraic operations to isolate n. This involves multiplying by 8, then dividing by 6x, and finally by 2, to arrive at n = 20 / x.
To solve the equation (6x2n)÷8=15 for n, we need to follow several steps. This involves manipulating the equation using algebraic operations until we isolate the variable n on one side. Here is the step-by-step process:
Multiply both sides of the equation by 8 to get rid of the fraction: 6x2n = 15 × 8.Simplify the right side: 6x2n = 120.Divide both sides by 6x to isolate n: 2n = 120 / 6x.Further simplify the right side to get n on its own: n = (120 / 6x) / 2.Complete the calculation based on the values of x that are given: n = 20 / x.If x is known, you can substitute the value of x into the equation to find the value of n. If x is not given, then this is the simplified form of the equation in terms of n and x.
help please...........
Given the volume of Wesley's cube = 8 cubic centimeters.
We know the formula for volume of cube is given as follows :-
Volume of cube = (side) x (side) x (side)
8 = (side)³
side = [tex]\sqrt[3]{8} =\sqrt[3]{2*2*2} =2[/tex]
Hence, Wesley's cube dimensions are 2 centimeters.
The square must have side length as 2 centimeters.
If smallest square G represents 1 centimeters, then clearly it is H = 2 centimeters.
So, square H is the final answer.
The front of a storage bunker can be modeled by y=-5/216(x-72)(x+72), where x and y are measured in inches. The x axis represents the ground. Find the width of the bunker at ground level.
The width of the bunker at ground level is 14.58 inches.
Explanation:The x-axis is the ground level, so the y-axis must be the scale for the length. Using the provided model, the x-intercepts, namely where the x-axis gets touched, we can just get the distance between them and that's the ground-level width.
The width of the bunker at ground level can be found by substituting x = 0 into the equation y = -5/216(x-72)(x+72).
This equation represents a quadratic function, which means it is a parabola.
By substituting x = 0, we get y = -5/216(-72)(72)
= 14.58 inches.
A bakery made 10 birthday cakes and 3 wedding cakes in one week. Enter the values that form the ratio of the number of birthday cakes the bakery made to the number of wedding cakes the bakery made.
HELP HELP HELP !!!!!!!!
A jar contained 6 red marbles, 10 green marbles, and 8 blue marbles. A marble was selected at random, the color was recorded, and the marble was placed back in the jar. The table shows the results after 60 trials.
What was the relative frequency of selecting a red marble?
Enter your answer in the box to the nearest percent.
%
Outcome Number of times outcome occurred
Red : 13
Green: 30
Blue: 17
Find the distance from the point p(4, −1, 1) to the line x = 1 + 2t, y = 3t, z5 − 7t
J read 147 pages in a book. He has completed 70% of the book. How many more pages does he need to read to finish the book.
Calculate the average rate of change of the function f(x) over the interval -[4,-1] using the formula. A_____ The value of f(-1) is.B._____The value of f(-4) is. C.________ the average rate of change of f(x) over the interval [-4,-1] is D.________
GRAPH WITH QUESTION: Y intercept:5 X intercept: -2.5 slope: 2
A: [f(-4)-f(-1)]/[-5]
[f(-1)-f(-4)]/[-5]
[f(-1)-f(-4)]/[3]
[f(-4)-f(-1)]/[3]
B. 3
2
-1
C. -4
-3
4
D. -2
-1.5
2
4
a carpenter and helper can do a certain job in 18 days if the carpenter takes walks 1.5 times as fast as the helper how long would it take each working alone?
Answer:
i dunno know
Step-by-step explanation:
2+2=FISH
Item 9 A company that offers tubing trips down a river rents tubes for a person to use and “cooler” tubes to carry food and water. A group spends $270 to rent a total of 15 tubes. Write a system of linear equations that represents this situation. Use xx to represent the number of one-person tubes rented and yy to represent the number of cooler tubes rented. How many of each type of tube does the group rent?
The group rents 11 one-person tubes and 4 cooler tubes and the two system of equations are:
x + y = 15
20x + 12.5y = 270
And the solution: x = 11, y = 4.
Define Variables:
x = number of one-person tubes rented
y = number of cooler tubes rented
Translate information into equations:
Total tubes: The group rents a total of 15 tubes. Translate this into an equation:
x + y = 15
Cost: Each one-person tube costs $20 and each cooler tube costs $12.50. Use these known costs to represent the total cost:
20x + 12.5y = 270
System of Equations:
x + y = 15
20x + 12.5y = 270
Solving for x and y:
Elimination
Multiply the first equation by -12.5:
-12.5x - 12.5y = -187.5
Add the top and bottom equations:
7.5x = 82.5
Divide both sides by 7.5:
x = 11
Substitute the value of x back into the first equation to solve for y:
11 + y = 15
y = 4
The group rents 11 one-person tubes and 4 cooler tubes.
Therefore, the two system of equations are:
x + y = 15
20x + 12.5y = 270
And the solution: x = 11, y = 4.
Complete question:
A company that offers tubing trips down a river rents tubes for a person to use and “cooler” tubes to carry food and water. A group spends $270 to rent a total of 15 tubes. Write a system of linear equations that represents this situation. Use x to represent the number of one-person tubes rented and y to represent the number of cooler tubes rented. a one person tube costs $20 and a cooler tube costs $12.50 How many of each type of tube does the group rent? what are the two system of equations?
The system of equations representing the situation is x + y = 15 and 20x + 12.50y = 270. The group rents 11 one-person tubes and 4 cooler tubes.
Let's denote:
x as the number of one-person tubes rented
y as the number of cooler tubes rented
Given:
The cost of renting one-person tube is $20
The cost of renting a cooler tube is $12.50
The total amount spent by the group is $270
We can set up the following system of linear equations to represent the situation:
The total number of tubes rented:
x (number of one-person tubes) + y (number of cooler tubes) = 15 (total tubes)
The total cost spent:
20x (cost of one-person tube) + 12.50y (cost of cooler tube) = 270
So, the system of equations is:
x + y = 15
20x + 12.50y = 270
To find the number of each type of tube rented, we can solve this system of equations.
Now, let's solve this system of equations:
From equation 1, we can express x in terms of y:
x = 15 - y
Substitute this expression for x into equation 2:
20(15 - y) + 12.50y = 270
Now, solve for y:
300 - 20y + 12.50y = 270
-7.50y = -30
y = 4
Now that we have found y, let's substitute it back into equation 1 to find x:
x = 15 - 4
x = 11
So, the group rents 11 one-person tubes and 4 cooler tubes.
Complete Question:
A company that offers tubing trips down a river rents tubes for a person to use and "cooler' tubes to carry food and water. A group spends $270 to rent a total of 15 tubes. Write a system of linear equations that represents this situation. Usex to represent the number of one-person tubes rented and y to represent the number of cooler tubes rented. How many of each type of tube does the group rent?
1 Person Tube = $20, Cooler Tube = $12.50.
The system of equations is ___ and ___.
The group rents ___ one-person tubes and _____ cooler tubes.
Which statement about g in quadrilateral WXYZ is correct?
A. g=360°−(45°+170°+80°)
B. g=45°
C. g=180°+80°
D. g cannot be determined because you do not know what type of quadrilateral WXYZ is.
Simplify fraction 26/39
Which of the following is the correct way to name the entire figure shown? A line has 4 points. From left to right, the points are M, unlabeled point, unlabeled point, N. (1 point) Modifying Above Upper M Upper N with two-way-arrow The image shows a ray MN. Modifying Above Upper M Upper N with bar
select the locations on the number line to plot the points _2 _11 and _17
Convert 9 cubic centimeters to fluid ounces (to the nearest thousandth).
Answer:
0.304 oz.
Step-by-step explanation:
We are asked to convert 9 cubic centimeters to fluid ounces (to the nearest thousandth).
We know that 1 cubic centimeter equals 0.033814 fluid ounces. To convert 9 cubic centimeters to fluid ounces, we will multiply 9 by 0.033814.
[tex]\text{9 cm}^3=\text{9 cm}^3\times \frac{\text{0.033814 oz}}{\text{cm}^3}[/tex]
[tex]\text{9 cm}^3=9\times \text{0.033814 oz}[/tex]
[tex]\text{9 cm}^3=0.304326\text{ oz}[/tex]
[tex]\text{9 cm}^3\approx 0.304\text{ oz}[/tex]
Therefore, 9 cubic centimeters equals 0.304 fluid ounces to the nearest thousandth.
The lengths of the legs of a right angle triangle 12 cm and 35 cm. What is the length of the hypotenuse?
he temperature equivalent to 77°F is °C.
Use the formula to convert the temperature.
Another term for dual enrollment is:
Answer:
Another term for dual enrollment is: Concurrent enrollment.
Step-by-step explanation:
Concurrent enrollment or dual enrollment are those programs where students gets enrolled in two schools simultaneously.
There are many types of dual enrollment programs available for students like studying in high school students along with taking college classes etc.
select all expressions thr equal 3.15/0.45
It is very common for television series to draw a large audience for special events of for cliff-hanging story lines. suppose that on one of these occasions, the special show drew viewers from 38.2% of all us tv households. suppose that three tv households are randomly selected. what is the probability that all three households viewed this special show?
To find the probability that all three randomly selected households watched a special TV show when 38.2% of all households watched it, you multiply the probability for one household by itself three times, resulting in approximately 0.055 or 5.5%.
The question asks about calculating the probability that all three randomly selected US TV households watched a special television show, given that 38.2% of all US TV households viewed it. To find this probability, we use the rule of independent events since the viewing status of one household is assumed to not affect another. The probability that all three households viewed this show can be calculated by multiplying the probability of one household viewing the show three times.
The calculation would look like this:
0.382 (the probability one household watched the show) x 0.382 x 0.382 = 0.055 (approximately).
This is the probability that all three households viewed the special show.
If h(x) = 3 + 2f(x) , where f(1) = 3 and f '(1) = 4, find h'(1).
Trig question -- please help if you can!
I have to write y = r cos(θ + R) and z = r sin(θ + R) in terms of y, z, and R. I'm not really sure how to do this, so would you mind showing work so I can learn the steps properly? (teacher hasn't taught this super well, haha) Thank you!!
Please help with this question!
Ari has been paying attention to the number of calories she burns while exercising. One day she spent 3 hours hiking, and 4 canoeing, and she calculated that she burned 2338 calories. The next day, she hiked for 7 hours and canoed for one hour, and she calculated that she burned 3322 calories. How many calories per hour does Ari burn doing each exercise?
By setting up a system of equations, we find that Ari burns 438 calories per hour hiking and 256 calories per hour canoeing.
To determine the number of calories Ari burns per hour doing each exercise, we need to set up a system of equations based on the given information. Let x represent the number of calories burned per hour hiking, and y represent the number of calories burned per hour canoeing.
We are given two situations:
3 hours of hiking and 4 hours of canoeing burn 2338 calories: 3x + 4y = 2338.
7 hours of hiking and 1 hour of canoeing burn 3322 calories: 7x + y = 3322.
We have the following system of equations:
3x + 4y = 2338
7x + y = 3322
To solve the system, we can first multiply the second equation by 4 to eliminate y:
4(7x + y) = 4(3322)
28x + 4y = 13288
Now, subtract the first equation from this result:
(28x + 4y) - (3x + 4y) = 13288 - 2338
25x = 10950
x = 10950 / 25
x = 438
Ari burns 438 calories per hour hiking.
To find y, substitute x = 438 into the first equation:
3(438) + 4y = 2338
1314 + 4y = 2338
4y = 2338 - 1314
4y = 1024
y = 256
Ari burns 256 calories per hour canoeing.
Thus, the results reveal that Ari burns 438 calories per hour hiking and 256 calories per hour canoeing.
Olive has read 79 pages of her book. Which equation shows how many more pages she has to read?
The students at a school assembly were divided into 4 equal groups. There were 63 students in each group. Write and solve an equation to determine the number of students that were at the assembly. use x as the variable.
equation _______
_______students
A book is opened, and the PRODUCT of the two visible page numbers is found to be 306. The equation which correctly represents this situation is A) x2 = 306 B) 2x2 = 306 C) x2 + x = 306 D) 2x2 + x = 306
Answer:
Option C is correct
[tex]x^2+x = 306[/tex]
Step-by-step explanation:
Let the consecutive page number be x and x+1
As per the statement:
A book is opened, and the PRODUCT of the two visible page numbers is found to be 306.
" PRODUCT of the two visible page numbers" translated to x(x+1)
then;
[tex]x(x+1) = 306[/tex]
Using distributive property, [tex]a \cdot (b+c) = a\cdot b+ a\cdot c[/tex]
then;
[tex]x^2+x = 306[/tex]
Therefore, the equation which correctly represents this situation is [tex]x^2+x = 306[/tex]
Which step in the construction of copying a line segment ensures that the new line segment has the same length as the original line segment?
Answer:
The steps to copy a line segment are given below:
1. Lets start with a line segment AB that we have to copy.
2. Now mark a point C. below or above AB, that will be one endpoint of the new line segment.
3. Now, put the compass tip on point A of the line segment AB.
4. Spread the compass up to point B, so as the compass width is equal to length of AB.
5. Without changing the compass width, now place the compass tip on the point C that you made in step 2.
6. Now, draw an arc roughly without changing the compass settings. Mark that point D. This will form the new line segment.
7. Draw a line from C to D.
Now out of these points, i guess steps 5 and 6 are the main steps that ensure that the copied line segment is exactly the same as the original segment.
Compare the two fractions. Use >, <, or =.
1st fraction, 2/3
2nd fraction, 4/6
PLEASE ANSWER FAST I NEED ANSWER QUICK!!!
To estimate 103% of 63, Rich rounded 103% down to 100%, 63 down to 60, and multiplied 60 by 1 to get 60. Which of these statements is correct?
A) Rich’s estimate is reasonable because it should be less than 63.
B) Rich’s estimate is reasonable because it should be greater than 63.
C) Rich’s estimate is unreasonable because it should be less than 63.
D) Rich’s estimate is unreasonable because it should be greater than 63.
∠1 and ∠2 are a linear pair. m∠1 = x - 29, and m∠2 = x + 61. Find the measure of each angle.
Answer:
1= 45
2= 135
Step-by-step explanation:
(did it on usatp)
What is the difference between the absolute value of –8 and the absolute value of 6?
2
8
14
16
Answer:
It will be A. (2)
Step-by-step explanation:
Because its the only answer that makes sense plus i got it right :3