you can think this
WL = 28
L=3w + 8
W( 3W +8) = 28
3 W^2 + 8W + = 28
3W^2 + 8W -28 = 0 (1)
3 W^2 - 6 W + !4 W -28 =0-
3 W ( W - 2 ) + 14 ( W -2) =0
(3W+ 14) ( w-2) = 0
w = 2 L = 3(2) + 8 = 14 , then LW =28
ignore the negative answer of w = -14/3
If we write all factors of 28 { 2, 4 , 7, 14)
We see that 28 = 2 * 14 , 14 = 2* 3 + 8
Therefore we can have a rectangle with area of 28 units, with 2, 14 be its dimension , and have the
property of L = 2*3 +8 (
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Nicole B. answered • 01/18/14
TUTOR 4.9 (82)
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Hi Victoria,
Area=Length x width= 28 sq in
L=8+3w
So substitute that back into the equation:
Area = L x W
28 sq in = (8+3w) x w
28 sq in = 8w +3w2
28 sq in = w (8 + 3w)
Possible factors of 28 are 2 and 14 or 4 and 7, and 1 and 28. Substituting the possibilities in the equation, we find that the correct set of factors are 2 and (8 + 3*2) or 14.
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Arthur D. answered • 01/18/14
TUTOR 4.9 (67)
Mathematics Tutor With a Master's Degree In Mathematics
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w=width
l=3w+8
A=l*w
28=(3w+8)(w)
28=3w^2+8w
3w^2+8w-28=0
(3w+14)(w-2)=0
3w+14=0
3w=-14
w=-14/3, disregard this answer because it is negative
w-2=0
w=2
l=3*2+8
l=14
check: 28=14*2=28
l=14 inches
w=2 inches
14 is 8 more than 3 times 2 !
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Tom D. answered • 01/18/14
TUTOR New to Wyzant
Very patient Math Expert who likes to teach
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1) A=LW = 28 in
2) L = 3W + 8
Substitute L = 28/W into the 2nd equation
28/W = 3W + 8
28 = 3W^2 + 8W
3W^2 + 8W - 28 = 0
(3W+ 14)(W - 2) = 0
Note that the answer must be positive therefore the second 'zero' is the answer
Find the X and Y intercepts of F(x)=x2+4x-12 vertex
Answer:
20
Step-by-step explanation:
( x − 2 ) 2 − 16 Set y equal to the new right side. y = ( x − 2 ) 2 − 16 Use the vertex form, y = a ( x − h ) 2 + k , to determine the values of a , h , and k . a = 1 h = 2 k = − 16 Find the vertex ( h , k ) . ( 2 , − 16 )
Someone help me please
Answer:
-13, 0.4,7 its the 4th one
Step-by-step explanation:
What is the measure of B?
Answer:
40
Step-by-step explanation:
Can you guys see now? (No files pls)
Answer:
yes
Step-by-step explanation:
Please help me anyone
Answer:
229
Step-by-step explanation:
All the angles of a 4 sided shape add up to 360 degrees.
So if you add 99 and 32 together, then subtract the answer from 360, you get 229.
WILL MARK BRAINLIEST HELP ASAP ASAP
Answer choices are
3/2
3/4
1/2
-1/4
-1/2
Answer:
A. 3/2
Step-by-step explanation:
When two exponents have the same base, you can cancel the bases and set the exponents equal to each other
3x-2=x+1
3x=x+3
2x=3
x=3/2
The measures of the angles of a triangle are in the extended ratio 3:3:10 what is the mesasure of the smallest angle?
Answer:
33.75°
Step-by-step explanation:
Given data
Ratio= 3:3:10
combined ratio= 3+3+10= 16
The sum of angles in a triangle is 180°
Hence the smallest angle is represented by the ratio 3
therefore let the angle be x
Applying the part to all method
3/16= x/180
16x= 180*3
16x=540
x= 540/16
x= 33.75°
Hence the smallest angle is 33.75°
If cos() = − 2 3 and is in Quadrant III, find tan() cot() + csc(). Incorrect: Your answer is incorrect.
Answer:
[tex]\tan(\theta) \cdot \cot(\theta) + \csc(\theta) = \frac{5 - 3\sqrt 5}{5}[/tex]
Step-by-step explanation:
Given
[tex]\cos(\theta) = -\frac{2}{3}[/tex]
[tex]\theta \to[/tex] Quadrant III
Required
Determine [tex]\tan(\theta) \cdot \cot(\theta) + \csc(\theta)[/tex]
We have:
[tex]\cos(\theta) = -\frac{2}{3}[/tex]
We know that:
[tex]\sin^2(\theta) + \cos^2(\theta) = 1[/tex]
This gives:
[tex]\sin^2(\theta) + (-\frac{2}{3})^2 = 1[/tex]
[tex]\sin^2(\theta) + (\frac{4}{9}) = 1[/tex]
Collect like terms
[tex]\sin^2(\theta) = 1 - \frac{4}{9}[/tex]
Take LCM and solve
[tex]\sin^2(\theta) = \frac{9 -4}{9}[/tex]
[tex]\sin^2(\theta) = \frac{5}{9}[/tex]
Take the square roots of both sides
[tex]\sin(\theta) = \±\frac{\sqrt 5}{3}[/tex]
Sin is negative in quadrant III. So:
[tex]\sin(\theta) = -\frac{\sqrt 5}{3}[/tex]
Calculate [tex]\csc(\theta)[/tex]
[tex]\csc(\theta) = \frac{1}{\sin(\theta)}[/tex]
We have: [tex]\sin(\theta) = -\frac{\sqrt 5}{3}[/tex]
So:
[tex]\csc(\theta) = \frac{1}{-\frac{\sqrt 5}{3}}[/tex]
[tex]\csc(\theta) = \frac{-3}{\sqrt 5}[/tex]
Rationalize
[tex]\csc(\theta) = \frac{-3}{\sqrt 5}*\frac{\sqrt 5}{\sqrt 5}[/tex]
[tex]\csc(\theta) = \frac{-3\sqrt 5}{5}[/tex]
So, we have:
[tex]\tan(\theta) \cdot \cot(\theta) + \csc(\theta)[/tex]
[tex]\tan(\theta) \cdot \cot(\theta) + \csc(\theta) = \tan(\theta) \cdot \frac{1}{\tan(\theta)} + \csc(\theta)[/tex]
[tex]\tan(\theta) \cdot \cot(\theta) + \csc(\theta) = 1 + \csc(\theta)[/tex]
Substitute: [tex]\csc(\theta) = \frac{-3\sqrt 5}{5}[/tex]
[tex]\tan(\theta) \cdot \cot(\theta) + \csc(\theta) = 1 -\frac{3\sqrt 5}{5}[/tex]
Take LCM
[tex]\tan(\theta) \cdot \cot(\theta) + \csc(\theta) = \frac{5 - 3\sqrt 5}{5}[/tex]
IF YOU HELP ILL GIVE U FREE COOKIE Charlotte earns 212 minutes of playing video games for every 5 math homework problems she completes. Tonight's homework has a total of 24 math problems. What is the MOST time she will be able to play video games tonight? PLEASE HELLPPPPp
Answer:
16.96hrs or 1017.6mins
Step-by-step explanation:
24 / 8 = 4.8
212 x 4.8 = 1017.6 mins
16.96 hours
|x+10|, if x=-12
Ahhhh I'm not sure how to do this
Answer:
your answer is -2
Step-by-step explanation:
Hope helps
:3
NO LINKS PLEASE thanks:)))
Answer:
c. it is not a solution to either equation
Step-by-step explanation:
let me know if this is incorrect
What is the measure of ∠B?
Answer:
The measure of B would be 60 degrees
Step-by-step explanation:
add me as a friend if i am right
Add then Simplify
√ 9 + √ 25
Answer:
√9=3
√25=5
5+3=8
Step-by-step explanation:
this is the solution if i understand it correctly
Answer:
About 4
because
3.74 rounded is 4
Help me solve for X
Please
Step-by-step explanation:
18+3=x+3
21=x+3
x=21-3
x=18
stay safe healthy and happy...what is the least common multiple of the two denominators 32 18 8 12
Answer:
288
Step-by-step explanation:
32 = 2 × 2 × 2 × 2 × 2
8 = 2 × 2 × 2
18 = 2 × 3 × 3
12 = 2 × 2 × 3
LCM(32, 8, 18, 12)
= 2 × 2 × 2 × 2 × 2 × 3 × 3
= 288
if x + 3/4 =1, then which point on the number line could be x ?
Answer:
point B
Step-by-step explanation:
isolate the x to solve for x:
=> x = 1 - [tex]\frac{3}{4}[/tex]
=> x = [tex]\frac{1}{4}[/tex]
point B=> the half of [tex]\frac{1}{2}[/tex] is [tex]\frac{1}{4}[/tex]=> [tex]\frac{1}{2}[/tex] x [tex]\frac{1}{2}[/tex] = [tex]\frac{1}{4}[/tex]
Answer:
yes
Step-by-step explanation:
Jessica had $-14 in her checking account. She did a few chores and made $52.50. She
decided to pay for her and a friend to go to the movies, and each ticket cost $9.50.
How much money does she have left in her checking account?
Answer:
$19.00
Step-by-step explanation:
She made 52.50.
she had -14.
52.50-14= 38.50
tickets are 9.50
9.50×2= 19.00
hope this helps let me kno if i did somthing wrong!
Simplify the expression:
(1 2/7)(-4 1/5)
Answer:
-27/5 or -5 2/5
Step-by-step explanation:
Simplify
1 2/7 to 9/7
-4 1/5 to -21/5
multiply together
(9)(-21)/(7)(5)
-189/35
u can simplify by diving by 5 to get
-27/5
Alice has 4 red, 2 pink, 1 white, and 5 blue shirts in a drawer. Without looking, Alice pulled out a red shirt and put it on her bed. What is the probability Alice will pull out a blue shirt after she pulled out the red one?
The probability is 5/11 as a fraction, about 45%, and/or 0.45 as a decimal.
Probability formula: Possible values/ Favorable values
Step 1: add the possible values: 4 + 2 + 1 + 5. This is equal to 12 possible options.
Step 2: Since Alica pulled out a red shirt, there will be 11 possible options (12-1 shirt = 11 possible options)
Step 3: Since we are expecting a blue shirt and there are 5 blue shirts, there is a 5/11 chance. Hope this helps!
Anyone think they can help me on this ?
Answer:
The third one
Step-by-step explanation:
x-5y=6
x-5y+5y=6+5y
x=5y+6
Please help with this math equation
if 6m + 4 = 8m, then 4m =
a. 6
b. 2
c. 4
d. 8
Answer:
here is your correct answer dude
Answer:
I Think B.
Step-by-step explanation:
Im Not But CARRY ON LEARNING
: Subtract 9 7/10 - 2 2/10 =
A: 7 2/10
B: 7 5/10
C: 7 7/10
D: 7 9/10
Answer:
B) 7 5/10
Step-by-step explanation:
9-2 is 7
7/10 - 2/10 is 5/10
7 + 5/10 = 7 5/10
Answer:
B
Step-by-step explanation:
I think...
What is the surface area of the figure shown?
932 ft 2
1,316 ft 2
740 ft 2
1,124 ft 2
Please help! I will give Brainliest!
Answer:
I think its c
Step-by-step explanation:
there's 6 sides to a cube, and if one of the sides has nine, that means there's 5 sides left, so 5 out of 6 of those sides have a chance of being a new number other than 9
Mekala has an MP3 player called the Jumble. The Jumble randomly selects a song for the user to listen to. Mekala's Jumble has 4 techno songs, 2 country songs, and 3 jazz songs on it. Mekala plans to listen to 270 songs.
Answer:
Mekala Jumble has 4 techno songs, 2 country songs, and3 jazz songs on it.
Ratio of techno songs,to country songs,to jazz songs= 4: 2 : 3
Whatever be total number of songs, let the number of techno songs, country songs,and jazz songs be 4 x, 2 x, and 3 x.
Total number of songs that Mekala plans to Listen = 2 70
Then , 4 x + 2 x + 3 x= 270
9 x = 270
Dividing both sides by 9, we get
x = 30
So, Number of techno songs = 4 × 30= 120
Number of techno songs = 2 × 30= 60
Number of jazz songs = 3 × 30= 90
Option (b) b) Close to 60 country songs but probably not exactly 60 country songs ,is true option regarding number of songs listen by Mekala.
Step-by-step explanation:
Vijay missed 12 out of his last 16 free throws. Considering this data, how many of his next 20
free-throw attempts would you expect Vijay to miss?
misses
Answer: 15
Step-by-step explanation: i don’t know
Answer:
15
Step-by-step explanation:
The fraction computed shows that the number of his next 20 free-throw attempts that you expect Vijay to miss is 15.
How to solve the fraction?
From the information given, Vijay missed 12 out of his last 16 free throws. The fraction missed will be:
= 12/16
= 3/4
Therefore, the number of his next 20 free-throw attempts that you expect Vijay to miss will be:
= 3/4 × 20
= 15
I need help with this problem please
Answer:
the question is incomplete for the answer fam
Step-by-step explanation:
the question is incomplete
8, 5, 6, 16, 22, 13, 24, 2
Median -
Q1 -
Q3 -
IQR -
______________
63, 45, 21, 14, 7, 3, 1
Median -
Q1 -
Q3 -
IQR -
Answer:
Median #1: 10.5
Q1 #1: 5.5
Q3 #1: 19
IQR #1: 13.5
Median #2: 14
Q1 #2: 3
Q3 #2: 45
IQR #2: 42
Step-by-step explanation:
Question 1:
First order the data so that they are in order from least to greatest:
2, 5, 6, 8, 13, 16, 22, 24
Now, find the median by crossing out one value on the left and one value on the right until you get to the center value.
2, 5, 6, 8, 13, 16, 22, 24
/2/, /5/, /6/, /8/, /13/, /16/, /22/, /24/
In this case, there were four values crossed off of each side, so you'll need to find the average of the final two crossed out values: 8 and 13.
(8+13)/2 = 10.5
To find the first quartile, find the median of all values below the median.
2, 5, 6, 8
/2/, /5/, /6/, /8/
The median of these values is the average of the center two, so
(5+6)/2 = 5.5
The third quartile is the median of all values above the median.
13, 16, 22, 24
/13/, /16/, /22/, /24/
The median of those values is the average of the center two as well, so
(16 + 22)/2 = 19
The IQR can be found by subtracting Q1 from Q3. (IQR = Q3 - Q1)
Q3 - Q1
19 - 5.5
IQR = 13.5
Question 2:
Arrange the values from least to greatest and cross them out until you find the middle falue, like in problem one.
1, 3, 7, 14, 21, 45, 63
/1/, /3/, /7/, 14, /21/, /45/, /63/
The center value is 14, so the median is 14.
The first quartile can be found by finding the median of all values below the median.
1, 3, 7
/1/, 3, /7/
The first quartile is 3.
The third quartile can be found by finding the median of all values above the median.
21, 45, 63
/21/, 45, /63/
The third quartile is 45.
The interquartile range can be found using the equation from above.
Q3 - Q1
45 - 3
The interquartile range is 42.
A shopper in a grocery store purchases 22 items on average. A store manager believes that the mean is greater than 22. She surveyed a randomly selected group of 36 customers and found that the mean of the number of items purchased was 23.2. The population standard deviation is 3.7 items. At α = 0.05, can it be concluded that the mean is greater than 22 items?
Answer:
The is no significant evidence to conclude that mean is greater than 22
Step-by-step explanation:
H0 : μ = 22
H0 : μ > 22
The test statistic :
(xbar - μ) ÷ (σ/sqrt(n))
xbar = 22.3 ; n = 36 ; μ = 22 ; σ = 3.7
(22.3 - 22) ÷ (3.7/√36)
0.3 ÷ 0.6166666
Test statistic = 0.486
The Pvalue using a Pvalue calculator from Zscore is :
Pvalue = 0.313
α = 0.05
Pvalue > α ; We fail to reject the Null ; The is no significant evidence to conclude that mean is greater than 22