What value of k makes the equation true? (5a2b3)(6akb)=30a6b4

2
3
4
8

Answers

Answer 1
I am not 100% positive but i am 99% sure it is 4
Answer 2

Answer:

the answer is 4 I believe

Step-by-step explanation:


Related Questions

select the locations on the number line to plot the points _2 _11 and _17

Answers

17 points after 0, 11 points after 0, and 2 points after 0

The lengths of the legs of a right angle triangle 12 cm and 35 cm. What is the length of the hypotenuse?

Answers

We can use the pythagorean theorem.

Allow x to be the hypotenuse.

12^2+35^2=x^2
144+1225=x^2
1369=x^2
x=37

we know that in a right triangle 
c^2=a^2+b^2, where c is the hypotenuse
c^2=12^2+25^2=144+625=769
c=sqrt769= aprox 27.73

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?

Answers

Let the calories / hour for hiking = h
Let the calories / hour for canoeing = c
3h + 4 c = 2338
7h + c = 3322  Multiply this by 4

28h + 4c = 13288 Write the first equation underneath this one.
3h + 4c = 2338 Subtract
==================
25h = 10950 Divide by 25
h = 10950 / 25
h = 438 calories for each hour hiking.

7h + c = 3322
7*438 + c = 3322
3066 + c = 3322
c = 3322 - 3066
c = 256 calories / hour canoeing.

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.

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.

Answers

147/x=100/70 (147=100, 70 is from the percent)
(147/x)*x=(100/70)*x
147=1.4285714285714*x
147/1.4285714285714=x
x=102.9 is your answer

What is the difference between the absolute value of –8 and the absolute value of 6?
2
8
14
16

Answers

The answer would be 2.

The difference means you subtract the two numbers.

Absolute value makes the numbers within into a positive number.

The equation would be 8-6=2

Answer:

It will be A. (2)

Step-by-step explanation:

Because its the only answer that makes sense plus i got it right :3

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

Answers


[tex]x \div 4 = 63 \\ \frac{1}{4} x = 63 \\ x = \frac{63}{ \frac{1}{4} } = 252[/tex]
hope this helps

If h(x) = 3 + 2f(x) , where f(1) = 3 and f '(1) = 4, find h'(1).

Answers

h'(x) = 2f'(x)

h'(1) = 2*f'(1) = 2*4
h'(1) = 8

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

Answers

The answer is C, x^2 + 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]

Olive has read 79 pages of her book. Which equation shows how many more pages she has to read?

Answers

The amount of pages left would be the total amount of pages minus the amount of pages she read (79). If p equals the number of pages left and t is the total amount of pages,

p = t - 79

would be the equation.

Hope this helps!

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!!

Answers

[tex]\bf \textit{Sum and Difference Identities} \\\\ sin(\alpha + \beta)=sin(\alpha)cos(\beta) + cos(\alpha)sin(\beta) \\\\ cos(\alpha + \beta)= cos(\alpha)cos(\beta)- sin(\alpha)sin(\beta)\\\\ -------------------------------\\\\ y=r[cos(\theta +R)]\implies y=r[cos(\theta )cos(R)-sin(\theta )sin(R)] \\\\\\ y=rcos(\theta )cos(R)-rsin(\theta )sin(R) \\\\\\ z=r[sin(\theta +R)]\implies y=r[sin(\theta )cos(R)+cos(\theta )sin(R)] \\\\\\ z=rsin(\theta )cos(R)+rcos(\theta )sin(R)[/tex]

Convert 9 cubic centimeters to fluid ounces (to the nearest thousandth).

Answers

the answer is 0.3043 hope this helped

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.

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.

Answers

We know that the sum of interior angles of a quadrilateral is 360 degrees.

Based on that, 
g+170+45+80=360
Subtracting (170+45+80) from both sides gives
g=360-(170+45+80), 
or
g=360-(45+170+80)

he temperature equivalent to 77°F is °C.

Use the formula  to convert the temperature.

Answers

The answer is 25 °C.
Hope this helps!
 
The formula to convert Fahrenheit to Celsius is (x - 32) × 5/9, if x is the original temperature.

So, all we have to do here is plug 77° in:

(77 - 32) × 5/9
= 45 × 5/9
= 25

So, 25°C is the answer.

Hope this helps!

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?

Answers

Let
x-----------> time it takes the carpenter working alone
y-----------> time it takes the helper working alone

we know that
x+y=18 days------------>equation 1
x=y/1.5---------------> equation 2

I substitute 2 in 1
(y/1.5)+y=18----------> (y+1.5y)/1.5=18---------> 2.5y=18*1.5
2.5y=27-----------> y=27/2.5-----------> y=10.8 days

x+y=18--------> x=18-10.8---------> x=7.2 days

the answer is 
time it takes the carpenter working alone is 7.2 days
time it takes the helper working alone is 10.8 days

Answer:

i dunno know

Step-by-step explanation:

2+2=FISH

Another term for dual enrollment is:


Answers

Enrolled concurrently.

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.

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.

Answers

The answer is D. Hope it helps! :)
I agree with the other person, I also think that it's D

A punch recipe requires 4/5 of a cup of pineapple juice for every 2 1/2 cups of soda. What is the unit rate of soda to pineapple juice in the punch?

Answers

we know that
2 1/2----------> (2*2+1)/2-----------> 5/2

[unit rate of soda to pineapple juice]=[quantity of soda]/[quantity of pineapple]
[unit rate of soda to pineapple juice]=[5/2]/[4/5]----> 25/8-------> 3.125---> 3 1/8

the answer is 3.125 (3 1/8)

Compare the two fractions. Use >, <, or =.
1st fraction, 2/3
2nd fraction, 4/6

Answers

Ist Fraction = 2/3
Multiply by 2 for both numerator and denominator 
2/3 = 4/6

2nd Fraction = 4/6

Both are the same fraction, 4/6: 

2/3 = 4/6

select all expressions thr equal 3.15/0.45

Answers

Select all expressions  equal 3.15/0.45

let's analyze case by case
case A) 3.15*0.45---------> is not (3.15/0.45)
case B) 3.15/0.45-----------> is correct
case C) 3.15*(1/0.45)=(3.15*1)/0.45--------> 3.15/0.45----------> is correct
case D) 3.15/(45/100)=3.15*100/45=315/45-------------> is not (3.15/0.45)
case E) 0.45/3.15------------> is not (3.15/0.45)

the answers are
case B) 3.15/0.45-----------> is correct
case C) 3.15*(1/0.45)=(3.15*1)/0.45--------> 3.15/0.45----------> is correct

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



Answers

The answer is 22%, because 13/60= 0.22 rounded to the nearest hundredth. 

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.

Answers

as far as I can make out this one.

the bunker is a 3D object, it has a height, with and length, however we're only concerned with the 2D front face, which has a length and width only.

we know the x-axis is the ground level, so the y-axis must be the scale for the length.

if we can find, 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.

keeping in mind that when the graph touches the x-axis, an x-intercept, "y" is 0.

[tex]\bf y=-\cfrac{5}{216}(x-72)(x+72)\implies \stackrel{y}{0}=-\cfrac{5}{216}(x-72)(x+72) \\\\\\ 0=\stackrel{\textit{difference of squares}}{(x-72)(x+72)}\implies 0=x^2-72^2\implies 72^2=x^2 \\\\\\ \pm\sqrt{72^2}=x\implies \pm 72=x[/tex]

now, the distance from (-72, 0) and (72, 0) is just 72 +72, or 144.
Final answer:

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.

help please...........

Answers

please provide a ruler, but i do believe it is F or J

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.

A hotel is in the shape of a square pyramid. Each side of the base is 183 meters long and the height is 110 meters. What is the hotel's volume? Enter your answer in the box

Answers

Answer:

1,227,930 m²

Step-by-step explanation:

We are given that,

Base of the pyramid = 183 meter

Height = 110 meter.

Since, we know,

Volume of a square pyramid = [tex]Base^2\times \frac{Height}{3}[/tex]

We have,

Volume of the square pyramid = [tex]183^2\times \frac{110}{3}[/tex]

i.e. Volume of the square pyramid = [tex]33489\times 36.667[/tex]

i.e. Volume of the square pyramid = 1,227,930 m²

Hence, the volume of the square pyramid is 1,227,930 m².

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?

Answers

The given case satisfies the condition of Binomial Experiment so we can use the Binomial Probability to answer this question.

Conditions for a Binomial Experiment are:
1) The sample is simple random sample
2) The probability of success is constant
3) The trials are independent
4) There are a fixed number of trials

Probability of success on a single trial = p = 0.382
Number of trials = n = 3
Number of successful trials= x = 3


The formula of the Binomial probability is:
P( 3 out of 3 success) = [tex]3C_{3} p^{3} (1-p)^{3-3} [/tex]

Using the values, we get:

P (3 out of 3) = 0.557 = 5.57%

Thus the probability that all three households viewed this special show is 5.57%

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.

Write, and show on a number line, the set of all the numbers that are:

greater than (−3) and less than 3.

Answers

-2, -1, 0, 1, 2. 3 and -3 don't count because it isn't less than or equal to.

Find the distance from the point p(4, −1, 1) to the line x = 1 + 2t, y = 3t, z5 − 7t

Answers

i dont know i will tell you when i find out

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

Answers

the answer is A also known as MN with the arrow pointing right and left hope I helped.

Simplify fraction 26/39

Answers

Hi there!

To simplify the fraction 26/39, we need to find a whole number in which both the numerator and the demoninator can be divisible by.

Both 26 and 39 can be divisible by 13.

26 ÷ 13 = 2
39 ÷ 13 = 3

So, the simplified fraction is 2/3.

Hope this helps!

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.

Answers

The ratio is 10:3. You also cannot simplify this.
The first thing you should do in this case is to define variables:
 birthday cakes = BC = 10
 wedding cakes = WC = 3
 We now write the relationship between the variables, which can be written in different ways.

 Way 1: 
 BC: WC
 10: 3
 Way 2: 
 BC / WC
 10/3
 Way 3:
 BC to WC
 10 to 3
 Answer:
 the values that the ratio of the number of birthday cakes the bakery made to the number of wedding cakes the bakery made are:
 10: 3
 10/3
 10 to 3

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?

Answers

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.

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