Set up an equation for the perimeter, P, of the rectangle below. Solve for L.
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Related Questions
Shaun read 60 pages in 3/4 h. What is the unit rate that represents the number of pages Shaun can read in 1 h? Enter your answer in the box.
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60 pages per 3/4 hour
(4/3)(60 pages per (4/3)(3/4) hour
80 pages per hour
You could also solve this by using an equation of ratios:
60 pages x
------------- = ---------------
(3/4) hr 1 hr
Solving this results in x = 80 pages.
If Shaun read 60 pages in [tex]\frac{3}{4} $ h[/tex], the number of pages Shaun can read in 1 hour (unit rate) using proportion is: 80 pages (80 pages in 1 hour).
Given:
Number of pages Shaun read in 3/4 h = 60 pages
Thus, to find the unit rate that represents number of pages to be read by Shaun in 1 hour,
let x = number of pages read in 1 hour.
The following proportion would be created:
60 pages = 3/4 h
x pages = 1 h
Cross multiply[tex]\frac{3}{4} \times x = 1 \times 60\\\\\frac{3x}{4} = 60[/tex]
Multiply both sides by 4[tex]3x = 60 \times 4\\\\3x = 240\\\\[/tex]
Divide both sides by 3x = 80
Therefore, if Shaun read 60 pages in [tex]\frac{3}{4} $ h[/tex], the number of pages Shaun can read in 1 hour (unit rate) using proportion is: 80 pages (80 pages in 1 hour).
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(4 - 1)[(1 + 6) + 2]
Answers
7 + 2 = 9
4 - 1 = 3
(3)(9) = 27
27 is your answer
hope this helps
Parentheses
Exponents
Multiplication
Division
Addition
Subtraction
First, you would solve what is inside the innermost parentheses.
(4 - 1)[(1 + 6) + 2]
(4 - 1)[ 7 + 2]
(4 - 1)[ 7 + 2]
(4 - 1)[ 9 ]
(4 - 1)[ 9 ]
3 × 9 = 27
Your answer would be 27.
I hope this helps!
nasir has an annual salary of $64000, and his company pays him twice a month. What is the gross income per paycheck that Nasir receives
Answers
Answer:
2666.67 dollars.cents
A line contains the points (−26, −37) and (−32, −61) .
What is the slope of the line in simplified form?
Enter your answer in the box.
Answers
To find the slope formula is y2-y1/x2-y1 so you will have -61- -37 / -32- -26 which will give you 24/ 6 and when you simplify is 4
Answer:
The slope of the line containing the points (-26,-37) and (-32,-61) is 4
Step-by-step explanation:
Given:
Two points of the line (-26,-37) and (-32,-61)
To find:
Slope(m) of the line =?
Solution:
The Equation of slope of two points is
[tex]Slope m=\frac{(y_2-y_1)}{(x_2-x_1)}[/tex]
Let (-26,-37) be[tex](x_1,y_1)[/tex]
and (-32,-61) be [tex](x_2,y_2)[/tex]
Now substituting the values ,
[tex]m=\frac{(-61+37)}{(-32+26)}[/tex]
[tex]m=\frac{-24}{-6}[/tex]
m=4
Thus the slope of the line is 4
The x-intercept is the x-coordinate of the point where a graph crosses the x-axis.What is the slope of a line that has a y-intercept but no x-intercept?Explain.
Answers
Answer:
slope = 0
Step-by-step explanation:
Given that the line has no x intercept. This means that the line does not intersect the x-axis at all. This can happen only if the line is parallel to the x axis. The line does have a y intercept. Si the line does intersect the y axis.
When a line is parallel to the x axis, its slope is 0.
Expressing the equation of the line in intercept format :
y = mx + c , where m is the slope and c is the intercept
In this case, the slope m is 0 .
So the equation becomes y = c.
if the length and width of a rectangle quadruple what happens to the area
Answers
Replace h with 4h
Replace w with 4w
A = (4w)(4h)
= 16hw
The area becomes 16 times larger.
Have an awesome day! :)
The area of the rectangle becomes 16 times the previous one.
Given that,
The length and width of a rectangle quadruple what happens to the area is to be determined.
the rectangle is a four-sided polygon whose opposites sides are equal and has an angle of 90° between its sides.
What is surface area?Surface area is defined as the area of the surface that is uncovered.
Here,
The length(L) = 4 L
The width (W) = 4W
area of the rectangle = length * width = LW
The new area of the rectangle = 4L * 4W
= 16 LW
= 16 * area of the rectangle.
Thus, the area of the rectangle becomes 16 times the previous one.
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Arturo mixed together 1.24 pounds of pretzels, 0.78 pounds of nuts, 0.3 pounds of candy, and 2 pounds of popcorn. He then packaged it in bags that each contained 0.27 pounds. How many bags could he fill?
Answers
Answer:
Number of bags Arturo can fill = 16
Step-by-step explanation:
Arturo mixed together 1.24 pounds of pretzels, 0.78 pounds of nuts, 0.3 pounds of candy, and 2 pounds of popcorn
Total pounds of mix = 1.24 + 0.78 + 0.3 + 2 = 4.32 pounds
He then packaged it in bags that each contained 0.27 pounds.
Capacity of each bag = 0.27 pounds
[tex]\texttt{Number of bags he can fill =}\frac{\texttt{Total pounds of mix}}{\texttt{Capacity of each bag}}\\\\\texttt{Number of bags he can fill =}\frac{4.32}{0.27}\\\\\texttt{Number of bags he can fill =}16[/tex]
Number of bags Arturo can fill = 16
add two fractions to determine the fraction equal to 0.1545454
Answers
[tex] \frac{1545454}{10000000} [/tex]
at the second reduce the fraction with 2
[tex] \frac{772727}{5000000} [/tex]
To add two fractions, convert the decimal fraction to a proper fraction by placing the decimal part over an appropriate power of 10. Then, find a common denominator and add the fractions together. Finally, simplify the resulting fraction if possible.
Explanation:Addition of FractionsTo add two fractions, you need a common denominator. Since the given fraction is a decimal, you can convert it into a fraction by placing the decimal part over the appropriate power of 10. In this case, 0.1545454 can be written as 1545454/10000000. Now, find a common denominator between the two fractions and add them together.
For example:
Convert the given fraction to 1545454/10000000.Find a common denominator, such as 100.Convert both fractions so they have the same denominator, in this case 100, by multiplying the numerator and denominator of each fraction by appropriate factors.Add the numerators together and write the sum over the common denominator.Simplify the fraction if possible.By following these steps, you can determine the fraction equal to 0.1545454.
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In 2009, John paid $7,890 in federal income tax. In 2010, he paid 50% less. How much did John pay in 2010?
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In a company, 60% of the workers are men. 2,120 women work for the company, how many workers are there in all?
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0.40x = 2120.....x represents total workers
x = 2120 / 0.40
x = 5300 <=== there are 5300 total workers
What is the answer to a and b please and thank you
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b.) Since you have already found the unit rate in question a, your slope would be 10.
the sum of two integers is 6 create a list of the possible two integers
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4 + 2
3 + 3
are some examples
hope this helps
3+3
4+2
-6+12
-4+10
-5+11
-2+8
-1+7
-3+9
Here r some possible two integers
Hope it helps
what is the greatest common factor of x2y and xy2 ?
BTW, the twos are supposed to be small and in the top right corner of the number before it, but it won't let me put it there.
Answers
2(x+y)
The Masons are driving home from a trip. The function graphed models the Masons' distance from home, y, in miles, after x hours of driving.
What do the key features of the graph indicate in this situation?
Drag and drop the answers into the boxes.
Answers
ANSWER
The key features are:
1. The y-intercept which is [tex](0,400)[/tex].
This means that at time [tex]x=0[/tex], the Masons are [tex]400[/tex] miles away from home.
2. The x-intercept which is [tex](8,0)[/tex].
This means after [tex]8[/tex] hours the Masons reached home.
The reason is that [tex]y=0[/tex] miles. This means that there is no distance between the Masons and their home.
3. The slope of the graph which is [tex]\frac{distance}{time}[/tex] tells us the speed at which they travel towards their home.
[tex]Speed=|\frac{0-400}{8-0}| =|-50|=50[/tex].
This means they traveled at a speed of [tex]50miles/hour[/tex].
The negative slope of the graph tell us that the distance is reducing as they approach their home.
Who ever helps will get 15 points and a thanks what are some ways you could break apart 7✖️9 using distributive property Tks and u will win your reward
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∠A
and
∠B
are vertical angles with
m∠A=x
and
m∠B=4x−30
.
What is
m∠A
?
Answers
Answer:
m∠A=10°
Step-by-step explanation:
we know that
Vertical angles are the angles opposite each other when two lines cross. The angles are congruent.
so
In this problem we have
m∠A=m∠B
substitute the given values
[tex]x=4x-30[/tex]
Solve for x
[tex]4x-x=30\\3x=30\\x=10[/tex]
Find the measure of angle A
m∠A=x
substitute the value of x
m∠A=10°
-7(k+9)=9(k-5)-14K
( Show work please )
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Jon and Lexi are playing a marble game. According to their rules, 6 points are awarded for each red marble collected and 2 points are awarded for each blue marble collected. Which expression represents Jon's total score if he has r red marbles and b blue marbles? 6r − 2b 6r + 2b 6r − 4b 8rb
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Hope this helps!
and May the Force Be With You
-Jabba
1. 6 points are awarded for each red marble collected, then for r red marbles collected are awarded 6r points.
2. 2 points are awarded for each blue marble collected, then for b blue marbles collected are awarded 2b points.
3. If he has r red marbles and b blue marbles collected, then in total Jon has score 6r+2b.
Answer: correct choice is B.
A number cube will be rolled 100 times as part of an experiment. Which calculation would you use to predict the number of times a 4 will be rolled?
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Answer:
(100) (1/6)
A cube has six sides the odds of rolling a four is 1 in 6 and you rolled a 100 times
John has a bag of marbles that contains 12 red marbles, 20 green marbles, and 17 blue marbles. Homework Help ✎ If John pulls one marble out of the bag, what is the probability that it will not be red? That is, P(not red)?
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You add all of the marbles together and then subtract the number of red marbles.
please help , I have no idea of how to do this
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The time difference between checkpoint 1 and checkpoint 2 is an hour and a half.
At checkpoint A, the total amount of miles driven is 120. At checkpoint B, the total amount of miles driven is 195.
To find the amount of miles driven between checkpoint 1 and 2, you will subtract the amount of miles at checkpoint 1 from checkpoint 2:
195-120= 75
The car drove 75 miles between 1:00pm to 2:30 pm. Because the total time between the checkpoints was an hour and a half, we can divide it by three (90 minutes total). We also need to divide the number of miles (75) by three to find an accurate answer.
90/3=30
75/3=25
The car drove 25 minutes in half an hour. Now, one hour consists of 60 minutes, so we will multiply both calculations by 2 (for the total hour and the total amount of miles driven in the hour):
30x2=60
25x2=50
The car drove 50 miles per hour between checkpoints A and B.
I hope this helps you! Have a great day!
How are ratios, rates, and unit rates used to solve problems?
Answers
What is the equation of a line, in point-slope form, that passes through (−2, −6) and has a slope of 13 ?
y+2=13(x+6)
y−6=13(x−2)
y+6=13(x+2)
y−2=13(x−6)
30 pts
plz help need to get an a or i die by my mom :P
Answers
y-y1 = m(x-x1)
you plug the y-value of the coordinate point into y1 and you plug the x-value of the coordinate into x1. You plug the slope into m.
The equation of the line in point-slope form that passes through (-2, -6) and has a slope of 13 is y + 6 = 13(x + 2).
Explanation:The equation of a line in point-slope form is given by y - y1 = m(x - x1), where (x1, y1) is a point on the line, and m is the slope of the line.
To find the equation of the line that passes through (-2, -6) and has a slope of 13, we can substitute the values into the formula:
y - (-6) = 13(x - (-2))
Simplifying this equation, we get y + 6 = 13(x + 2). Therefore, the correct equation of the line in point-slope form is y + 6 = 13(x + 2).
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A shop sells three types of boots sales are usually in the ratio of 6:2:3 last month 24 football boots were sold how many boots altogether were sold last month
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This ratio may be written as 6x:2x:3x where x is a variable.
When 24 boots are sold, then
6x + 2x + 3x = 24
11x = 24
x = 24/11 = 2.18
Because we do not have fractional boots, x = 2.
Total boots sold = 6*2 + 2*2 + 3*2 = 12 + 4 + 6 = 22
Answer: 22
Answer:
44 boots were sold last month. Not 22.
Step-by-step explanation:
x = football boots
y = rugby boots
z = hiking boots
Now we write the equations:
(x / y) = 6/2
(y / z) = 2/3
For x = 24 we have:
(24 / y) = 6/2
(24 / y) = 3
y = 24/3
y = 8
On the other hand:
(y / z) = 2/3
(8 / z) = 2/3
(8) * (3/2) = z
z = 12
So, the sum is:
x + y + z = 24 + 8 + 12 = 44
One hundred employees of a company are asked how they get to work and whether they work full time or part time. The table below shows the results. If one of the 100 employees is randomly selected, find the probability that the person drives alone or bicycles to work.
public transportation: fulltime-9 parttime-8
bicycle: fulltime-3 parttime-4
drive alone:fulltime-32 parttime-28
carpool:fulltime-9 parttime-7
Answers
Answer:
0.67
Step-by-step explanation:
There are 3+4 = 7 people who bicycle to work. There are 32+28 = 60 people who drive alone to work. This makes 7+60 = 67 people.
This makes the probability 67/100 = 0.67.
The probability that the person drives alone or bicycles to work is 0.67
What is probability?Probability is a measure of the likelihood of a statement or a theoretical expectation is correct.
Given that, 100 employees of a company are asked how they get to work and whether they work full time or part-time,
People who drive bicycle to work = 3 + 4 = 7
People who drive alone to work = 32 + 28 = 60
People who drive alone or with bicycle = 7 + 60 = 67
The probability that the person drives alone or bicycles to work = 67/100 = 0.67.
Hence, The probability that the person drives alone or bicycles to work is 0.67
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Select the correct rate of change and y -intercept for the linear function that contains the points (4, 6) and (5, 3).
The rate of change is −1/3, and the y -intercept is 7 1/3
The rate of change is –3, and the y -intercept is 18.
The rate of change is 3, and the y -intercept is –6.
The rate of change is 1/3, and the y -intercept is 4 2/3
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How do you write 6.67 × 102 in standard form
Answers
Standard form refers to the regular way you write out a number, such as 4,300, as opposed to scientific notation, which is 4.3 x 10^3, or in expanded form, such as 4,000 + 300. You can convert numbers large and small to standard form in a few steps.
STANDARD FORM WITH LARGE NUMBERSTo convert a number from scientific notation to standard form, consider 1.5625 x 10^4. First, focus on the exponential number, which is 10^4. Multiply the base number, which is 10, by itself the number of times indicated by the exponent, which is four. You would do that like this:
10 x 10 x 10 x 10 = 10, 000
Plug the product -- which is 10,000 -- into the original equation to get this:
1.5625 x 10,000 = 15, 625
Therefore, the standard form of this number is 15,625.
For a number in expanded form, convert the number, using basic addition. For example, consider the expanded number 10,000 + 2000 + 100 + 10 + 9. Add up these numbers to get the standard form. Your equation would look like this:
10,000 + 2,000 + 100 + 10 + 9 = 12,119
Therefore, the standard form of the number is 12,119.
STANDARD FORM WITH SMALL NUMBERSSmall numbers, such as those less than one, can also be converted to standard form. For example, consider the scientific notation 5 x 10^-2. Start with 10^-2, and note that the exponent is negative, which in this case, is negative two. This indicates that the number will be a decimal, with the decimal point moving twice to the left of the base number, which in this case, is 10. This would give you 0.01. Your equation will look like this:
10^2-1 = 0.01
Plug in this value, which, in this case is 0.01, into your original equation to get this:
5 x 0.01 = 0.05
Therefore, the standard form of this number is 0.05.
Convert small numbers presented in expanded form, such as 0.0003 + 0.001 + 0.02 by adding like this:
0.0003 + 0.001 + 0.02 = 0.0213
simplify:
-4x^2(3x-7)
Answers
___________________________________________
Explanation:
___________________________________________
Note the "distributive property of multiplication" :
___________________________________________a(b+c) = ab + ac ;a(b−c) = ab − ac ;___________________________________________
So; given: " - 4x² (3x - 7) " ;
→ - 4x² (3x − 7) ;
= [ -4x² * 3x ] − [- 4x² * -7 ] ;
= -12x³ − (28x²) ;
= -12x³ − 28x² .
_______________________________________________________
the line parallel to x-3y=-12 that passes through (-3,4)
Answers
3y=x-12
y=1/3x-4
parallel means same gradient, which is 1/3.
Use formula y-y1=m(x-x1), m=gradient and y1 is y coordinate of point and x1 is x coordinate of point.
y-4=1/3[x-(-3)]
y-4=x/3+1
y=x/3+5
The equation of the line parallel to x-3y=-12 that passes through (-3,4) is y=x/3+5.
What is the standard equation of a line?The standard equation of a line is given by
y = mx+c
Here m is the slope and c is the y intercept
The slope can be determined by
m = (y₂ -y₁)/(x₂ -x₁)
The line function equation is
x - 3y = -12
y = (1/3)x +4
When a line is parallel to another line, the slope of the lines is same.
So, the slope of the line parallel to the line x - 3y = -12 is 1/3
y = (1/3)x +c
As the line passes through the point (-3,4)
4 = (1/3) * (-3) +c
4 = -1 +c
c = 5
The equation is
y=x/3+5
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−0.9+2.0 Please answer
Answers
Answer: 1.1 hope i helped u guys
Step-by-step explanation: