Answer: 258
Step-by-step explanation: 270-12=w
The width of the wall is 9 feet and length is 30 feet.
What is perimeter of a rectangle ?The perimeter of a rectangle is the sum of all the sides.
According to the given question the area of a rectangular wall of a barn is 270 square feet. It’s length is 12 feet longer than twice it’s width.
Assuming the width of the rectangular wall to be x feet.
∴ From the given data length is 2x + 12 feet.
We know area of a rectangle is product of it's length and width.
So, { x × ( 2x + 12 ) } = 270.
2x² + 12x = 270.
2x² + 12x - 270 = 0
x² + 6x - 135 = 0
x² + 15x - 9x - 135 = 0
x(x + 15) - 9(x + 15) = 0
( x + 15 ) = 0 OR ( x+ 9 ) = 0
∴ x = -15 OR x = 9. ( we know length can note be negative )
So, Width of the rectangle is 9 feet and length is 30 feet.
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Find the midpoint of the line segment with the given endpoints. 1) (-4, -9), (-6, -6)
Answer:
The answer is
[tex]( - 5 \: , \: - \frac{15}{2} )[/tex]Step-by-step explanation:
The midpoint M of two endpoints of a given line segment can be found by using the formula
[tex]M = ( \frac{x1 + x2}{2} , \frac{y1 + y2}{2} )[/tex]where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(-4, -9), (-6, -6)
The midpoint is
[tex]M = ( \frac{ - 4 - 6}{2} , \: \frac{ - 9 - 6}{2} ) \\ = ( - \frac{10}{2} , - \frac{15}{2} )[/tex]We have the final answer as
[tex]( - 5 \: , \: - \frac{15}{2} )[/tex]Hope this helps you
Give two ways to write the algebraic expression:
10s
Answer:
10 * s, 10(s), s(10), s * 10.
Step-by-step explanation:
Hope this helps
Find the function rule
X Y
0 -5
10 15
20 35
y=___
Answer:
y=2x-5
Step-by-step explanation:
y is double x minus 5
Wetlands offer a diversity of benefits. They provide a habitat for wildlife, spawning grounds for U.S. commercial fish, and renewable timber resources. In the last 200 years, the United States has lost more than half its wetlands. Environmental Almanac gives the percentage of wetlands lost in each state in the last 200 years. For the lower 48 states, the percentage loss of wetlands per state is as follows:
46 37 36 42 81 20 73 59 35 50
87 52 24 27 38 56 39 74 56 31
27 91 46 9 54 52 30 33 28 35
35 23 90 72 85 42 59 50 49
48 38 60 46 87 50 89 49 67
The percentages are concentrated from 20% to 60% The percentages are concentrated from 60% to 90%
There is a gap showing that none of the lower 48 states has lost from 60% to 69% of its wetlands.
These data are strongly skewed left.
These data are fairly symmetric, perhaps slightly skewed right.
There is a gap showing that none of the lower 48 states has lost from 10% to 19% of its wetlands.
There are no gaps in the data.
Question Completion:
How are the percentages distributed? Is the distribution skewed? Are there any gaps? (Select all that apply.)
Answer:
1. The percentages are concentrated from 20% to 60%.
2. These data are strongly skewed left.
3. There are no gaps in the data.
Step-by-step explanation:
1. Data
Percentage loss of wetlands per state
46 37 36 42 81 20 73 59 35 50
87 52 24 27 38 56 39 74 56 31
27 91 46 9 54 52 30 33 28 35
35 23 90 72 85 42 59 50 49
48 38 60 46 87 50 89 49 67
2. Re-arrangement of
Percentage loss of wetlands per state (in ascending order)
9 20 23 24 27 27 28 30
31 33 35 35 35 36 37 38
38 39 42 42 46 46 46 48
49 49 50 50 50 52 52 54
56 56 59 59 60 67 72 73
74 81 85 87 87 89 90 91
Which angles are adjacent to each other?
Step-by-step explanation
dab and aeb
they are adjacent
What is the quotient of 75,120 ÷ 16?
Answer:
4695
Step-by-step explanation:
Answer:
4,695
use long divison
Alan sells electronics, earning a base wage of $320 for one week, and a commission equal to 5% of his sales. he needs to earn at least $600 each week to cover his expenses. set up and solve an inequality to determine what Alans sales can be in order to ensure his expenses are covered.
Answer:
320 +0.05s ≥ 600sales ≥ $5600Step-by-step explanation:
For sales of 's', Alan's earnings will be ...
320 +0.05s
He wants that to be at least 600, so the inequality is ...
320 +0.05s ≥ 600
__
Its solution is found by subtracting 320 and dividing by 0.05.
0.05s ≥ 280
s ≥ 5600
Alan's weekly sales must be at least $5600 for his earnings to cover his expenses.
i have 4 questions
1. Suppose point T is between points R and V on a line. If RT = 63 units and RV = 131 units, then what is TV? 131 194 68 80
2.Given point P is between M and N. If MN = 26, MP = x + 4, and PN = 2x + 1, what is the value of x? x = 3 x = 7 x = 12.5 x = 22
3.Given M is the midpoint of HJ, HM = 4x - 12, and MJ = 3x + 9. What is the value of x?
4.If D is the midpoint of CE, DE = 2x + 4, and CE = 6x + 2, then what is CD?
Answer:
1. [tex]TV = 68[/tex]
2. [tex]x = 7[/tex]
3. [tex]x = 21[/tex]
4. [tex]CD = 8[/tex]
Step-by-step explanation:
Solving (1):
Given
[tex]RT = 63[/tex]
[tex]RV = 131[/tex]
Required
Determine TV
To solve TV, we make use of the following formula;
[tex]RV = RT + TV[/tex]
Substitute values for RT and RV
[tex]131 = 63 + TV[/tex]
Make TV the subject of formula
[tex]TV = 131 - 63[/tex]
[tex]TV = 68[/tex]
Solving (2):
Given
[tex]MN = 26[/tex]
[tex]MP = x + 4[/tex]
[tex]PN = 2x + 1[/tex]
Required
FInd x
To solve x, we make use of the following formula;
[tex]MN = MP + PN[/tex]
Substitute values for MP, MN and NP
[tex]26 =x + 4 + 2x + 1[/tex]
Collect Like Terms
[tex]2x + x = 26 - 4 -1[/tex]
[tex]3x = 21[/tex]
Divide both sides by 3
[tex]x = 7[/tex]
Solving (3):
Given
[tex]HM = 4x - 12[/tex]
[tex]MJ = 3x + 9[/tex]
Required
Find x
Since M is the midpoint;
[tex]HM = MJ[/tex]
This gives
[tex]4x - 12 = 3x + 9[/tex]
Collect Like Terms
[tex]4x - 3x = 12 + 9[/tex]
[tex]x = 21[/tex]
Solving (4):
Given
[tex]CE = 6x + 2[/tex]
[tex]DE = 2x + 4[/tex]
Required
FInd CD
Since D is the midpoint;
[tex]CD= DE[/tex]
and
[tex]CE = CD + DE[/tex]
Substitute CD for DE
[tex]CE = DE + DE[/tex]
[tex]CE = 2DE[/tex]
Substitute values for CE and DE
[tex]6x + 2 = 2(2x + 4)[/tex]
Open Bracket
[tex]6x + 2 = 4x + 8[/tex]
Collect Like Terms
[tex]6x - 4x = 8 - 2[/tex]
[tex]2x = 6[/tex]
Divide both sides by 2
[tex]x = 3[/tex]
Recall that;
[tex]CD= DE[/tex]
So;
[tex]CD = 2x + 4[/tex]
Substitute 2 for x
[tex]CD = 2 * 2 + 4[/tex]
[tex]CD = 4 + 4[/tex]
[tex]CD = 8[/tex]
If 3 out of 24 students made an "A" what percent of students
made an "A"?
You have a balance of $213 in a savings account you withdraw $68 one day and $128 the next day without making any deposit what is the new balance
Answer:
17. . . . . . . . . . . . . . . "" " . . .
Answer:
$213
- $68
______
$145
- $128
______
$17
Step-by-step explanation:
If you start with $213 and withdraw $68 it would be $145 and then withdraw $128 you would only have $17 dollars left in your savings.
Before the election, you want to determine the number of possible president/vice-president combinations for the sorority you belong to. if both positions are chosen from nine people, how many combinations are possible
Answer:
The possible number of combination to select two positions from 9 people is 72.
Alan can do 2/3 part of his work and sam can do 3/4 part of her work .Who can do more work
Answer:
Sam can do more work.
Step-by-step explanation:
2/3 equals out to just over half of his work done. 0.66666667.
3/4 equals out to almost all of her work done. 0.75.
*hope this helps*
Answer:
Sam can do more work:)
Step-by-step explanation:
What is the algebraic rule for a translation that moves the points right 4 units and down 3 units?
Answer: (x,y) —> (x+4, y-3)
it could also be T 4, -3 (x,y)
Step-by-step explanation:
If you move something right 4, x+4. Moving something down 3 is y-3.
the general form is always (x,y) —> (x + (whatever)), y + (whatever))
Or T whatever, whatever (x,y)
The first (whatever) is applied to x, second is for y.
hopes this helps
Values of k for which the quadratic equation 2x - kx + k 0 has equal roots is
a)0only
b)4
c)8 only
d)0,8
Answer:
The answer is D.
Step-by-step explanation:
We have to apply Discriminant Law. When a quadratic equation, ax² + bx + c = 0 has equal roots so the discriminant will be 0. Then, you have to substitute the values into the formula :
[tex]D = {b}^{2} - 4ac[/tex]
[tex]let \: D = 0 ,a = 2,b = k,c = k[/tex]
[tex]0 = {k}^{2} - 4(2)(k)[/tex]
[tex] {k}^{2} - 8k = 0[/tex]
[tex]k(k - 8) = 0[/tex]
[tex]k = 0[/tex]
[tex]k - 8 = 0[/tex]
[tex]k = 8[/tex]
look at the attachment
Answer:
x=-6
For PA: 78-29=49
For AQ: 48+3=51
Step-by-step explanation:
The line is from left to right PAQ
It says PQ is 100 which is the whole line
PA +AQ is PQ so that means:
-13x-29-8x+3=100
-21x-26=100
-21x=126
x=-6
Plug in the x values to PA and AQ
For PA: 78-29=49
For AQ: 48+3=51
Adsila and Carlos volunteer to fill gift boxes for soldiers serving overseas.
Both work at a constant rate. They work together for 6 hours and fill 126 boxes,
Adsila fills 9 boxes every hour. How many boxes does Carlos fill every hour?
Answer:
12 boxes an hour
Step-by-step explanation:
If Adsila made 9 boxes an hour for 6 hours,she made 54 boxes (9*6=54). Take how many she made away from the total (126-54=72). If Carlos made 72 boxes in 6 hours, divide 72 by 6 to get 12 (72/6=12). Carlos made 12 boxes an hour.
An ad for an above-ground pool states that it is 25 m2. From the ad, you can tell that the pool is a circle. If you swim from one point at the edge of the pool to another, along a straight line, what is the longest distance d you can swim? Express your answer in three significant figures.
Answer:
d ≈ 5.64 m
Step-by-step explanation:
We are told that the pool is circular and that the area is 25 m².
Now, the longest chord that connects two points in a circle is the diameter.
Thus, the longest distance d will be the diameter
Area of circle is given by the formula;
A = πr²
Thus;
25 = πr²
r² = 25/π
r = √(25/π)
r = 5/√π
Diameter is twice the radius. Thus;
d = 2 × 5/√π
d = 10/√π
d ≈ 5.64 m
Solve for x: −2(x + 3) = −2x − 6
Answer:
All real numbers
Step-by-step explanation:
Solution set of -2(x +3) = -2x -6 is all x ∈R (real numbers).
What is equation?
" Equation is defined as when two algebraic expression which are related with the sign of equality."
According to the question,
Given,
-2(x + 3) = -2x - 6
Open the brackets of the equation we get,
-2(x) + (-2)(3) = -2x - 6
⇒ -2x - 6 = -2x - 6
Add 6 on both the sides of the equation we get,
-2x = -2x
Divide by -2 of the equation both sides
x = x _____(1)
Add (-x) both the sides we get,
0 = 0 _____(2)
From (1) and (2) we conclude ,
Solution is true for all the real values of x.
Hence, solution set of -2(x +3) = -2x -6 is all x ∈R (real numbers).
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what is 9 as a percent of 90
Answer:
8.1
Step-by-step explanation:
the answer the problem is 8.1
Answer:
10%
Step-by-step explanation:
convert fraction (ratio) 9/90 Answer : 10%
The sum of the measures of the angles of a triangle is 180. The sum of the measures of the second and third angles is five times the measure of the first angle. The third angle is 16 more than the second. Let x, y, and z represent the measures of the first, second, and third angles, respectively. Find the measures of the three angles.
Step-by-step explanation:
z=y+16
y=y
:.z+y=5x where z=y+16
2y+16=5x
x=(2y+16)/5
.:z+y+x=180
y+16+y+(2y+16)/5=180
12y+80+16=900
y=67
z=16+67=83
x=30
explain all steps in detall. Incluide your final answer.. 9²+3•(9-5)²/4=
Answer: 93
Step-by-step explanation:
To solve this problem, we need to use the order of operations, or PEMDAS.
Parenthesis
Exponent
Multiply
Divide
Add
Subtract
For multiply/divide and add/subtract, you don't necessarily go in that specific order. You go from left to right, depending on what comes first. For example, if division comes before multiply, you would divide first, then multiply. Same goes for add/subtract.
9²+3×(9-5)²/4 [solve parenthesis]
9²+3×(4)²/4 [solve exponent]
81+3×16/4 [solve multiply or divide, whichever comes first]
81+12 [solve add or subtract, whichever comes first]
93
Now, we know that 93 is our final answer.
You just found 13,406,190 pennies! How many dollars did you actually find? If each penny weighs 4 grams, how much did all that loot weigh in lbs?
If presented with the following equation, what is the next step in the equation solving sequence? x + 3x = -50 - 23+5
Answer:
Add the similar elements
[tex]x+3x=4x\\-50-23+5=-68\\\\4x=-68[/tex]
Step-by-step explanation: Further steps
Divide both sides by 4
[tex]\frac{4x}{4}=\frac{-68}{4}[/tex]
Simplify
[tex]x=-17[/tex]
Answer:
combine like
Step-by-step explanation:
Find the least common multiple of 20, 4, and 5
Answer:
LCM = 20
Step-by-step explanation:
You need to make everything into 20. Luckily, 4X5 is 20 and vise versa.
An image point after 180 rotation is Z'( 3,7) what are the coordinates of the pre-image point
Answer:
(-3 , -7)
Step-by-step explanation:
Help i dont understand Pls Help :( Given h(x)=4x-4h(x)=4x−4, solve for xx when h(x)=0h(x)=0.
Answer:
x=1
Step-by-step explanation:
So when it's h(5)= whatever equation you all the x in the equation to 5 and solve. When it says h(x)=0, it's asking you to find x for the equation to equal 0.
It's easy! all you have to do is set the equation to 0
so 4x-4=0
add 4 from both sides
4x = 4
divide
x=1
the difference of a number and 6 is the same as 5 times the sum of the number and 2
Answer:
n - 6 = 5 * ( n + 2 ) ; n = -4
Step-by-step explanation:
For this problem, we will use the words to create an equation. The left hand side of the equation will be the difference of a number and 6 and the right hand side of the equation will be 5 times the sum of the number and 2. Hence, we can build the equation:
n - 6 = 5 * ( n + 2 )
If we wanted, we can solve the equation for the number, n.
n - 6 = 5 * ( n + 2 )
n - 6 = 5 * n + 5 * 2
n - 6 = 5n + 10
-16 = 4n
-4 = n
Thus, we have found the missing number to be negative four.
Cheers.
PLEASE HELP ME I WILL MARK AS BRAINLIEST
A map has a scale of
5 in. = 10 mi. If you measured the distance between two cities to
be 17 in. on the map, how many miles would it actually be?
If necessary, round your answer to the nearest tenth.
NarStor, a computer disk drive manufacturer, claims that the median time until failure for their hard drives is more than 14,400 hours. You work for a consumer group that has decided to examine this claim. Technicians ran 16 NarStor hard drives continuously for almost three years. Recently the last drive failed. The times to failure (in hours) are given in the following table. Give the test statistic.330 620 1870 2410 4620 6396 7822 81028309 12882 14419 16092 18384 20916 23812 25814
Answer:
The test statistics is [tex]t = -1.727[/tex]
Step-by-step explanation:
From the question we are told that
The data given is
330 620 1870 2410 4620 6396 7822 81028309 12882 14419 16092 18384 20916 23812 25814
The population mean is [tex]\mu = 14400[/tex]
The sample size is n = 16
The null hypothesis is [tex]\mu \le 14400[/tex]
The alternative hypothesis is [tex]H_a : \mu > 14400[/tex]
The sample mean is mathematically evaluated as
[tex]\= x = \frac{\sum x_i}{n}[/tex]
So
[tex]\= x = \frac{330+ 620+ 1870 +2410+ 4620+ 6396+ 7822+ 8102+8309+ 12882+ 14419+ 16092+ 18384 +20916+ 23812+ 25814 }{16}[/tex]
=> [tex]\= x = 10799.9[/tex]
The standard deviation is mathematically represented as
[tex]\sigma =\sqrt{\frac{ \sum (x_i - \=x)^2}{n}} [/tex]
So
[tex]\sigma =\sqrt{\frac{(330- 10799.9)^2 + (620- 10799.9)^2+ (1870- 10799.9)^2 +(2410- 10799.9)^2 + (4620- 10799.9)^2 +(6396- 10799.9)^2 +(7822- 10799.9)^2 }{16}} \ ..[/tex]
[tex]..\sqrt{ \frac{(8102 - 10799.9)^2 +(8309 - 10799.9)^2 + (12882 - 10799.9)^2 + (14419 - 10799.9)^2 + (16092 - 10799.9)^2 + (18384 - 10799.9)^2 +(20916 - 10799.9)^2 }{16}} \ ...[/tex]
[tex]\ ... \sqrt{\frac{(23812 - 10799.9)^2 +(25814 - 10799.9)^2 }{16}}[/tex]
=> [tex]\sigma = 8340[/tex]
Generally the test statistic is mathematically represented as
[tex]t = \frac{10799.9- 14400}{ \frac{8340}{\sqrt{16} } }[/tex]
[tex]t = -1.727[/tex]
From the z-table the p-value is
[tex]p-value = P(Z > t) = P(Z > -1.727) = 0.95792[/tex]
From the values obtained we see that
[tex]p-value > \alpha[/tex] so we fail to reject the null hypothesis
Which implies that the claim of the NarStor is wrong
Jeson formed two-digit numbers using the following rules. (i) The digit in the tens place is an EVEN number. (ii) The two-digit number is divisible by 5. How many numbers did Jeson form? a) 5 b) 8 c )16 d) 18
Answer:
b) 8.
Step-by-step explanation:
The tens digit must be 2, 4, 6 or 8.
The units digit must be 0 or 5 ( as the 2 digit number must be divisible by 5).
So they are:
20, 25, 40, 45, 60, 65 , 80 and 85.
Answer:The tens digit must be 2, 4, 6 or 8.
The units digit must be 0 or 5 ( as the 2 digit number must be divisible by 5).
So they are:
20, 25, 40, 45, 60, 65 , 80 and 85.
Step-by-step explanation: