Answers
l=3w
3w(4)=48
12w=48
w=4
l=12
hope it helps
comment if u have any questions
Answer:
Length is 18; width is 6.
Step-by-step explanation:
The formula for the perimeter of a rectangle is:
[tex]P=2l+2w[/tex]
We are given that the perimeter is 48 feet. We are also told that the length is 3 times the width. In other words:
[tex]l=3w[/tex]
So, substitute this for l and 48 for P. Thus:
[tex]48=2(3w)+2w[/tex]
Distribute:
[tex]48=6w+2w[/tex]
Combine like terms:
[tex]48=8w[/tex]
Divide both sides by 8:
[tex]w=6[/tex]
So, the width is 6.
The length as we know is 3 times the width, so the length is 3(6) is 18.
And we are done!
Related Questions
Can someone plz tell me if I’m right?
Answers
Answer:
Step-by-step explanation:
Since x is used a lot as a variable in algebra, I would use another symbol for multiplication. Though if your teacher requires you to use x as a multiplication symbol, then keep it as is. I use the asterisk symbol
Example: 2 times 3 = 2*3
------------------------------------------
For problem 2, you have the parenthesis in the wrong spots. Saying "the sum of four plus five" means we have 4+5 as you'd expect. Then you multiply that group with 2. So you'd really have (4+5)*2
How is this different from 4+5*2 back in problem 1? It comes down to how the order of operations handles things. To evaluate 4+5*2, we multiply first, then add. So we have 4+5*2 = 4+10 = 14
With the other expression, we add first because it is in the parenthesis block. Afterward we multiply the values to get (4+5)*2 = 9*2 = 18
CAN SOMONE PLEASE HELP ME ASAP PLEASEEE!!!
Answers
Answer:
The yellow polygon is the scaled version of the red one (scaled by 3×), so the variable w = 9
Answer:
9
Step-by-step explanation:
The similarity ratio is 4/x = z/9 = 2/6 = 3/w = y/15
2/6 = 3/w cross multiply expressions 2w = 18 and w = 9
Find The Area Of The Shape Shown Below
Answers
Answer:42.55
Step-by-step explanation:
Les get the big boi out of the way first. We see that it is 3.5 by 9 and if we multiply we get 31.5. Next left triangle 2 by 2 so four but divided by 2 is 2. God so many 2's. So total is 33.5 so far. Next triangle is 2 by 5 soo 10 divided by 2 is 5. total is 38.5. Last dude in the middle. We know one side is two so we have to subtract here from the triangles which gets u the other side of 2 so 4. Total is 42.5
The Area of the Shape Shown is 42.5 square units.
What is Area of Rectangle?The area of Rectangle is length times of width.
The area of the rectangle in the given figure is
Area of rectangle=3.5×9
=31.5 square units.
The area of left side triangle is
Area of triangle=1/2×2×2
=2 square units
The area of right side triangle 1/2×5×2
=5 square units
Now the area of square =2²
=4 square units.
Now total area of figure is 31.5+2+5+4 is 42.5 square units.
Hence, the Area of the shape Shown is 42.5 square units.
To learn more on Area of Rectangle click:
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do all sets have subsets?
Answers
Answer:
yes
Step-by-step explanation:
Point R is on line segment QS. Given RS = 13 and QS = 20, determine the length of QR
Answers
Answer:
Length of QR = 7
Step-by-step explanation:
20 - 13 = 7
When you woke up this morning, the temperature was -5.8°C. At noon, the temperature was 2.9°C. Which expression and statement describes the situation?
Answers
Answer:
-5.8<2.9
Step-by-step explanation:
A plane is a _____ figure
Answers
Answer:
bold
Step-by-step explanation:
hshsjjsududidididiidododododokdodkdjdndndnjdudududuididjdjdjd
A plane is a two dimensional figure.
Write the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 in this order and insert '+' or '-' between them to get the result 3? Please Help
Answers
Answer:
0 - 1 - 2 + 3 - 4 + 5 - 6 +7 - 8 + 9 = 3
Step-by-step explanation:
Integrate the following w.r.t x 1) 2x^2/3.
2) (5-x)^23
Answers
Answer:
A) [tex]\int\frac{2x^2}{3}dx=\frac{2x^3}{9}+C[/tex]
B) [tex]\int(5-x)^{23}dx=-\frac{(5-x)^{24}}{24}+C[/tex]
Step-by-step explanation:
A)
So we have the integral:
[tex]\int\frac{2x^2}{3}dx[/tex]
First, remove the constant multiple:
[tex]=\frac{2}{3}\int x^2\dx[/tex]
Use the power rule, where:
[tex]\int x^ndx=\frac{x^{n+1}}{x+1}[/tex]
Therefore:
[tex]\frac{2}{3}\int x^2\dx\\=\frac{2}{3}(\frac{x^{2+1}}{2+1})[/tex]
Simplify:
[tex]=\frac{2}{3}(\frac{x^{3}}{3})[/tex]
And multiply:
[tex]=\frac{2x^3}{9}[/tex]
And, finally, plus C:
[tex]=\frac{2x^3}{9}+C[/tex]
B)
We have the integral:
[tex]\int(5-x)^{23}dx[/tex]
To solve, we can use u-substitute.
Let u equal 5-x. Then:
[tex]u=5-x\\du=-1dx[/tex]
So:
[tex]\int(5-x)^{23}dx\\=\int-u^{23}du[/tex]
Move the negative outside:
[tex]=-\int u^{23}du[/tex]
Power rule:
[tex]=-(\frac{u^{23+1}}{23+1})[/tex]
Add:
[tex]=-(\frac{u^{24}}{24})[/tex]
Substitute back 5-x:
[tex]=-(\frac{(5-x)^{24}}{24})[/tex]
Constant of integration:
[tex]=-\frac{(5-x)^{24}}{24}+C[/tex]
And we're done!
A bag contains 6 RED beads, 3 BLUE beads, and 11 GREEN beads. If a single bead is picked at random, what is the probability that the bead is RED or GREEN?
Answers
Answer:
17/20
Step-by-step explanation:
Total no. of beads = 6 + 3 + 11 = 20
We need RED or GREEN bead .
So no. of beads needed = 6 + 11 = 17
So probability of getting GREEN or RED beads = 17/20
alex buys six equally priced candy bars for $9:00 what is the unit rate?
Answers
Answer:
$1.5 unit
Step-by-step explanation:
According to the given situation, the calculation of the unit rate is shown below:-
Candy bars = 6
Amount of candy bars = $9:00
Unit rate
[tex]= \frac{Amount\ of\ candy\ bars}{Number\ of\ candy\ bars}[/tex]
Now we will put the values into the above formula
[tex]= \frac{\$9:00}{6}[/tex]
Which gives result
= $1.5 unit
Therefore for computing the unit rate we simply divide the amount of candy bars by the number of candy bars.
Amy, Ray, Kim, and Jamal are on a trivia team. They gain points for correct answers
and lose points for incorrect answers. During the contest, Amy gains 3 points, Ray loses
4 points, Kim loses 2 points, and Jamal gains 5 points. How many points does the team
have at the end of the contest?
Answers
Answer:
2 points
Step-by-step explanation:
0+3-4-2+5=2 points
A device has a constant failure rate with a MTTF of 2 months. One hundred of the devices are tested to failure. (a) How many of the devices do you expect to fail during the second month
Answers
Answer: the number of devices expected to fail during the second month is 24
Step-by-step explanation:
Given that
The device has a constant failure rate with MTTF of 2 months.
As the device has constant failure rate so it has exponential failure distribution
f(t) = λe^-λt
Here MTTF = 1/ λ
so λ = 1/2 Months⁻¹ = 0.5 Months⁻¹ and from the question, Number of devices = 100
E( 1 < x < 2) = E ( x < 2) - E (x < 1)
so E(x < X) can be calculated with λ = 0.5 Months⁻¹ will be calculated as the failure function
f(x) = λ exp ( - λ×t) for t > 0
F (x>0) = 1 - exp( - λx)
so E ( 1 < x < 2) = E ( x < 2) - E (x < 1)
E ( x < 2) = 1 - exp(-0.5 × 2) = 0.6321 ; E (x<1) = 1 - exp(-0.5 × 2) = 1 - exp( -0.5) = 0.3934
so E ( 1 < x < 2) = 0.6321 - 0.3934 = 0.2387
so the number of devices expected to fail during the second month is;
100 × 0.2387 = 23.87 ≈ 24
Given the following formula, solve for I.
P =
2(1 + b)
Answers
Answer: [tex]l=\dfrac{P}{2}-b[/tex]
Step-by-step explanation:
P = 2(l + b)
Divide both sides by 2:
[tex]\dfrac{P}{2}=l+b[/tex]
Subtract b from both sides:
[tex]\dfrac{P}{2}-b=l[/tex]
Note: You can also multiply b by [tex]\frac{2}{2}[/tex] if you want the left side to be one fraction.
[tex]\dfrac{P}{2}-\bigg(\dfrac{2}{2}\bigg)b=l\\\\\\\dfrac{P-2b}{2}=l[/tex]
d) 256 chocolates are distributed among the students of class 5.
If the number of chocolates obtained by each students is the same
as the number of students in the class, find the number of students
in the class?
Answers
Answer:
16
Step-by-step explanation:
Let x be the number of chocolates obtained by each student
Since the number of chocolates obtained by each student = the number of students in the class, then, number of students in the class = x
256/x = x
Multiply both sides by x
256 = x × x ( x squared)
Multipy powers raised on both sides by 1/2
X = 16
How do you do these questions? With step by step instructions please
Answers
Answer: n = 3 n = 4
Upper Sum ≈ 3.41 Upper Sum ≈ 3.25
Lower Sum ≈ 2.15 Lower Sum ≈ 2.25
Step-by-step explanation:
You are trying to find the area under the curve. Area = height x width.
Height is the y-value at the given coordinate --> f(x)
Width is the distance between the x-values --> dx
n = 3
First, let's figure out dx: the distance from -1 to +1 is 2 units. We need to divide that into 3 sections because n = 3 --> dx = 2/3
So the points we will evaluate is when x = {-1, -1/3, 1/3, 1}
For the upper sum, we find the max y-value for each interval
For the lower sum, we find the min y-value for each interval
Next, let's find the height for each of the x-values:
f(x) = 1 + x²
f(-1) = 1 + (-1)² = 2
f(-1/3) = 1 + (-1/3)² = 1 + 1/9 --> 10/9
f(1/3) = 1 + (1/3)² = 1 + 1/9 --> 10/9
f(1) = 1 + (1)² = 2
Interval Max Min
{-1, -1/3} f(-1) = 2 f(-1/3) = 10/9
{-1/3, 1/3} f(-1/3) = 10/9 f(0) = 1 (vertex lies in this interval)
{1/3, 1} f(1) = 2 f(1/3) = 10/9
Now, let's find the Area: A = f(x) dx:
[tex]\text{Upper Sum:}\quad A=\dfrac{2}{3}\bigg(2+\dfrac{10}{9}+2\bigg)\\\\.\qquad \qquad \qquad =\dfrac{2}{3}\bigg(\dfrac{46}{9}\bigg)\\\\.\qquad \qquad \qquad =\dfrac{92}{27}\\\\.\qquad \qquad \qquad =\large\boxed{3.41}[/tex]
[tex]\text{Lower Sum:}\qquad A=\dfrac{2}{3}\bigg(\dfrac{10}{9}+1+\dfrac{10}{9}\bigg)\\\\\\.\qquad \qquad \qquad \qquad =\dfrac{2}{3}\bigg(\dfrac{29}{9}\bigg)\\\\\\.\qquad \qquad \qquad \qquad =\dfrac{58}{27}\\\\\\.\qquad \qquad \qquad \qquad =\large\boxed{2.15}[/tex]
*****************************************************************************************
n = 4
First, let's figure out dx: the distance from -1 to +1 is 2 units. We need to divide that into 4 sections because n = 4 --> dx = 2/4 = 1/2 (simplified)
So the points we will evaluate is when x = {-1, -1/2, 0, 1/2, 1}
For the upper sum, we find the max y-value for each interval
For the lower sum, we find the min y-value for each interval
Next, let's find the height for each of the x-values:
f(x) = 1 + x²
f(-1) = 1 + (-1)² = 2
f(-1/2) = 1 + (-1/2)² = 1 + 1/4 --> 5/4
f(0) = 1 + (0)² = 1
f(1/2) = 1 + (1/2)² = 1 + 1/4 --> 5/4
f(1) = 1 + (1)² = 2
Interval Max Min
{-1, -1/2} f(-1) = 2 f(-1/2) = 5/4
{-1/2, 0} f(-1/2) = 5/4 f(0) = 1
{0, 1/2} f(1/2) = 5/4 f(0) = 1
{1/2, 1} f(1) = 2 f(1/3) = 5/4
Now, let's find the Area: A = f(x) dx:
[tex]\text{Upper Sum:}\qquad A=\dfrac{1}{2}\bigg(2+\dfrac{5}{4}+\dfrac{5}{4}+2\bigg)\\\\\\.\qquad \qquad \qquad \qquad =\dfrac{1}{2}\bigg(\dfrac{26}{4}\bigg)\\\\\\.\qquad \qquad \qquad \qquad =\dfrac{13}{4}\\\\\\.\qquad \qquad \qquad \qquad =\large\boxed{3.25}[/tex]
[tex]\text{Lower Sum:}\qquad A=\dfrac{1}{2}\bigg(\dfrac{5}{4}+1+1+\dfrac{5}{4}\bigg)\\\\\\.\qquad \qquad \qquad \qquad =\dfrac{1}{2}\bigg(\dfrac{18}{4}\bigg)\\\\\\.\qquad \qquad \qquad \qquad =\dfrac{9}{4}\\\\\\.\qquad \qquad \qquad \qquad =\large\boxed{2.25}[/tex]
Emma and Clair are planning to sell lemonade on their street. They have two recipes to choose from. Emma’s recipe calls for the juice of 5 lemons and 2 cups of water. Clair’s recipe calls for the juice of 2 lemons and 1 cup of water. Why will the first recipe taste more “lemony”?
Answers
Answer:
Emma's recipe will be more lemony because
5/2=2.5
2/1=2
Step-by-step explanation:
Answer:
The ratio of lemon juice to water in Emma’s recipe is 5 to 2; the ratio in Clair’s recipe is 4 to 2. Emma’s recipe will taste more lemony because it has a greater ratio of lemon juice to water.
Step-by-step explanation:
Sample Answer
Bolts are packed into bags at a factory. Each bag should have 25 bolts in it but a bad with 22 or 28 is acceptable. Formulate an absolute value equation that could be used to solve for the minimum and maximum number of bolts in a bag.
|x____ | = ______
x = _____(smaller number here)
x = ________(larger number here)
Blank 1:
Blank 2:
Blank 3:
Blank 4:
Answers
Answer:
Absolute value equation is; |x - 25| ≤ 3
Minimum number of bolts is 22 while Maximum number of bolts is 28
Step-by-step explanation:
We are told that;
Each bag should have 25 bolts in it but 22 or 28 is acceptable.
Since 22 or 28 is acceptable, it means the allowable error is ±3.
Thus, if x is the number of bolts in the bag, the absolute value equation would be;
|x - 25| ≤ 3
Minimum number of bolts is 22 while maximum is 28
Glados
spent the day at the mall, First, she bought
three bikes for $10 each. Later, she found 22
dollar bills. Write the total change
an integer.
to Glado's
funds as an integer
Answers
Answer:
8
Step-by-step explanation:
02.01)Which is the ratio of the number of months that begin with the letter J to the total number of months in a year? 12 to 3 3 to 9 9 to 12 3 to 12 HELP!!! FOR MY MATH TEST
Answers
Answer:
3 to 12
Step-by-step explanation:
3 months (January, June, July) and 12 monthes
Answer: the answer is 3 to 12
Step-by-step explanation: hope this will help
Students in a large statistics class were randomly divided into two groups. The first group had a midterm exam that was printed on canary paper while the second group had the exam printed on pale green paper. The exam scores of the two groups were then then compared.This experiment was not blind because:_______a. Students were allowed to keep their eyes open while taking the exam.b. The exam was too long.c. The students knew whether or not music was playing while they were taking the exam.d. Some of the students did not study for the exam.e. Students were randomized into the two groups.
Answers
Answer:
e. Students were randomized into the two groups.
Step-by-step explanation:
T is the midpoint of SU, ST = 8x + 11 and TU = 12x-1, find the value of x.
Answers
Answer:
x = 3
Step-by-step explanation:
mid point means it bisects the segment into two equals halfs meaning
ST = TU
8x + 11 = 12x - 1
8x + 12 = 12x
12 = 4x
3 = x
Find g(-2) + h(4) if g(x)= 5-2x and h(x) = - x2 pls help
Answers
Answer:
-7
Step-by-step explanation:
g(x)= 5-2x and h(x) = - x^2
g(-2) + h(4)
First find g(-2)
g(-2) = 5 -2(-2) = 5 +4 = 9
Then find h(4) = - 4^2 = -16
g(-2) + h(4) = 9-16 = -7
Answer:
-7
Step-by-step explanation:
Substitute -2 into g(x) equation,
g(x) = 5 - 2x
g(-2) = [5 - 2(-2)] = 9
Substitute 4 into h(x) equation,
h(x) = -x^2
h(4) = [-(4)^2] = -16
Therefore,
g(-2) + h(4) = 9 + (-16) = -7
use the values in the table to determine the slope.
Answers
Answer:
-3/2
Step-by-step explanation:
Take two points from the table and use the slope formula
m= (y2-y1)/(x2-x1)
= ( 19 - 13)/ ( -4 - 0)
= 6/-4
= -3/2
I'm trying to find sin of (7pi/12) exactly using an angle of addition or subtraction formula could anyone help me
Answers
Answer:
(√2 + √6)/4.
Step-by-step explanation:
Use the addition formula
sin (A+ B) = sinAcosB + cosAsinB
sin (7pi/12) = sin( 3pi/12 + 4pi/12)
= sin(pi/4 + pi/3) = sin pi/4 cos pi/3 + cos pi/4 sin pi/3
= 1/√2 * 1/2 + 1/√2 * √3/2 (using the 45-45-90 and 30-60-90 triangles)
= 1 / 2√2 + √3/2√2
= √2/4 + √6/4
= (√2 + √6)/4
(!20 POINTS PLEASE HELP!) The students in a class are randomly drawing cards numbered 1 through 28 from a hat to determine the order in which they will give their presentations. Find each probability. Solve each problem below 1. P(13) 2. P(less than 14) 3. P(not 2 or 17)
Answers
Since there is 28 cards, the chance of drawing 1 card will be [tex]\frac{1}{28}[/tex]
Therefore, [tex]P(13)=\frac{1}{28}[/tex].
There are 13 numbers less than 14 and greater than 0.
Therefore [tex]P(>14)=\frac{13}{28}[/tex]
There are 26 numbers that are not 2 or 17.
Therefore [tex]P(\neq 2,17)=\frac{26}{28}=\frac{13}{14}[/tex]
Hope this helps.
頑張って!
Probability of
Option (1). P(13) =[tex]\frac{1}{28}[/tex]
Option (2). P(less than 14) = [tex]\frac{13}{28}[/tex]
Option (3). P(not 2 or 17) =[tex]\frac{13}{14}[/tex]
What is Probability?Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur
Given,
Total number of card = 28
Probability = Number of favorable outcome / Number of total outcome
Probability of picking 13 = [tex]\frac{1}{28}[/tex]
Probability of picking a card less then 14 = [tex]\frac{13}{28}[/tex]
Probability of not picking 2 or 17 = [tex]\frac{26}{28}=\frac{13}{14}[/tex]
Hence, the probability of
Option (1). P(13) =[tex]\frac{1}{28}[/tex]
Option (2). P(less than 14) = [tex]\frac{13}{28}[/tex]
Option (3). P(not 2 or 17) =[tex]\frac{13}{14}[/tex]
Learn more about Probability here
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find (f+g) (x) f (x) = 4x - 4 and g (x) = 2x^2 - 3x
Answers
(f+g)(x) = f(x) + g(x)
= 4x - 4 + 2[tex]x^{2}[/tex] - 3x
= 2[tex]x^{2}[/tex] + x - 4
Explanation:
f(x) = 4x - 4
g(x) = 2x^2 - 3x
Find (f+g)(x):
(f+g)(x)
= (4x - 4) + (2x^2 - 3x)
= 4x - 4 + 2x^2 - 3x
= 2x^2 + x - 4
Find FH
Need help ASAP !!
Answers
Answer:
[tex]FH=22[/tex]
Step-by-step explanation:
FH is the combined lengths of FG and GH.
In an equation, this is:
[tex]FH=FG+GH[/tex]
We already know that FG is 8 and that GH is 14. Thus:
[tex]FH=8+14[/tex]
Add:
[tex]FH=22[/tex]
So, the length of FH is 22.
And we're done!
A factory worker can produce 28 toys in an eight hour day If there are 42 workers in total how many toys are produced every hour
Answers
Answer:
147 toys
Step-by-step explanation:
for 1 person, 28toys/8hours = 3.5toys/ 1hour
for 42 people, 42 * 3.5toys/ 1hour = 147 toys/hour
~Hope it Helps!~
y varies inversely with x. If y = 5 when x = 60, find y when x = 150
pre cal
Answers
Answer:
y = 2 when x = 150
Step-by-step explanation:
Inverse variation is
xy = k
5*60 = k
300 = k
xy = 300
150y = 300
Divide by 150
150y/150 = 300/150
y = 2