Answer:
The length is 15 yards
Step-by-step explanation:
Given
Represent the width with W and length with L: So
[tex]Area = 135yd^2[/tex]
[tex]L=3W - 12[/tex]
Required
Determine the length of the rectangle:
Area is calculated as thus:
[tex]Area = L * W[/tex]
Substitute 3W - 12 for L and 135 for Area
[tex]135= (3W - 12) * W[/tex]
[tex]135= 3W^2 - 12W[/tex]
Reorder:
[tex]3W^2 - 12W - 135= 0[/tex]
Divide through by 3
[tex]W^2 - 4W - 45 = 0[/tex]
Expand:
[tex]W^2 - 9W + 5W - 45 = 0[/tex]
[tex]W(W - 9) + 5(W - 9) = 0[/tex]
[tex](W + 5)(W-9) = 0[/tex]
[tex]W + 5 = 0[/tex] or [tex]W - 9 = 0[/tex]
[tex]W = -5[/tex] or [tex]W = 9[/tex]
But width can't be negative
So:
[tex]W = 9[/tex]
Recall that: [tex]L=3W - 12[/tex]
[tex]L = 3 * 9 - 12[/tex]
[tex]L = 15[/tex]
Hence, the length 15 yards
What direction would this plate move?
Question 6 options:
A West to East
B East to West
C South to North
D North to South
Paulo identifies one point on a line as (6,3), and he knows that the slope is 2. How can he derive the equation of the line
Answer:
y = 2x + 3
Step-by-step explanation:
Points (6,3) are x,y coordinates.
Use slope intercept form: y = mx + b
b = y intercept
m = slope
The equation that has a slope of 2 and passes through (6, 3) will be y = 2x - 9.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
The slope of the equation is 2. Then the equation is given as,
y = 2x + c
The line is passing through (6, 3), then we have
3 = 2(6) + c
3 = 12 + c
c = 3 - 12
c = - 9
The equation will be given as,
y = 2x - 9
The equation that has a slope of 2 and passes through (6, 3) will be y = 2x - 9.
More about the linear equation link is given below.
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How do the expressions 72 divided and -72divided by (-9) and compare when they are evaluated?
Complete question is;
How do the expressions 72 divided by 9 and -72 divided by (-9) compare when they are evaluated?
A. They have different values and are different signs.
B. They have different values but are the same sign.
C. They have the same value but are different signs.
D. They have the same value and the same sign
Answer:
D. They have the same value and the same sign
Step-by-step explanation:
For 72 divided by 9,it is;
72/9 = 8
Usually when we don't have any sign in front of a number, it is said to be positive.
Thus, the answer can be expressed as; +8
Also, when -72 is divided by (-9), it is;
-72/-9
The negative signs will cancel out to give; 8
Similar to the first division, since no sign is attached to 8,it is said to be positive as +8.
This means both divisions yield same values and same signs
Complete the sentence.
9 is 18% of
Answer:
9 is 18 percent of 50
Step-by-step explanation:
9 = 18% x Y
9 = 18
100 x Y
Y = 3 x 100 /18
Y = 50%
If a star is measured to have a parallax angle of 0.5 arcsec, how far away is the star?
a. 2 ly
b. 2 pc
c. 0.5 pc
the formula is d=1/p
(astronomy)
The library has 27 chairs and 5 tables. If the same nur chairs can be placed at each table? Will there be any
Answer:
no
Step-by-step explanation:
27 divided by 5 = 5.4 so there would not be enouph
Answer:
Each table will have 5 chairs, with 2 chairs leftover.
Step-by-step explanation:
27 divided by 5 equals 5 with a remainder of 2.
All changes saved
1. Calculate the federal income taxes. In 2018, the federal income tax was 10 percent on incomes between $0 and $9,525 per year, 12 percent on incomes between
$9,526 and $38,700, and 22 percent on Incomes between $38,701 and $82,500. In 2018, you made $42,000. What was your income tax this year?
O $5,040
$8,400
$4,200
$9,240
Answer:
$9,240.
Step-by-step explanation:
Given that in 2018, all salaries between $ 38,701 and $ 82,500 had to pay a federal income tax of 22%, and that my salary in that year was $ 42,000, to determine the amount that I had to pay in concept of said tax, the following calculation must be done:
(42,000 x 22) / 100 = X
924,000 / 100 = X
9,240 = X
Therefore, the amount of federal income tax that I had to pay in 2018 was $ 9,240.
Draco invests $5000. Approximately how long will it take for the investment to double if the rate is 10% compounded annually?
Answer:
I'm in 6th grade and I think it is 500
For the investment to double if the rate is 10% compounded annually,
it will take about 7 years and 3 months.
What is compound interest rate?Compound interest is computed as interest on the principle of an account plus any accrued interest.
Compound interest can be calculated using the following formula:
x = P (1+r/n[tex])^{nt}[/tex]
,where x = compound interest
P = principal (the initial deposit or loan amount)
r = annual interest rate
n = the number of compounding periods per unit of time
t = the number of time units the money is invested or borrowed for.
Given:
Draco invests $5000.
Draco wants his investment to double.
That means, accrued amount = $10000
Interest rate = 10%
First, convert R as a percent to r as a decimal
r = R/100
r = 10/100
r = 0.1 per year,
Then, by using the formula,
t = ln(A/P) / n[ln(1 + r/n)]
t = ln(10,000.00/5,000.00) / ( 1 × [ln(1 + 0.1/1)] )
t = ln(10,000.00/5,000.00) / ( 1 × [ln(1 + 0.1)] )
t = 7.273 years
t = about 7 years 3 months
Therefore, the required time is about 7 years 3 months.
To learn more about the compound interest rate;
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If the cost of a competing factor of production, such as a machine that also could do the job, rises. This would result in a shift in the demand for this factor out to the right and would put pressure on the wage to rise. I don't understand why this is the case because I thought if machines replaced human labor then wouldn't wages be lower because there wouldn't be a need for human labor?
Keep in mind that we're framing it based on what the first sentence says, which is "If the cost of a competing factor of production, such as a machine that also could do the job, rises".
So if the cost of getting a machine part, various parts, or the entire machine cost rises, then demand for the machine will go down. This will make employers seek out substitutes. In this case, those substitutes would be human labor. As employers demand for labor goes up, the wages will rise assuming the supply of workers is held constant. If the supply of workers increased, then you could argue the wages could go down. So that's why I'm assuming the supply is held in check.
I WILL GIVE BRAINLIEST
Read the description of f below, and then use the drop-down menus to complete an
explanation of why f is or is not a function,
f relates each student in Mr. Well's history class to their score on a final exam.
Answer:
It’s because they become its not they are
Step-by-step explanation:
2x + 3y = 19
EASY MATH PPL 20points..
Answer:
x=5 and y=3
Im pretty sure. The answer has to be 20 words long, so i am adding random words. Wheeeee
Answer: Y=5, X=2
2x2=4 and 3x5=15
4+15=19
y'all helpppp on this question ASAP please!!!!
Sketch the graph of the function by (a) applying the Leading Coefficient Test, (b) finding the zeros of the polynomial, (c) plotting sufficient solution points, and (d) drawing a continuous curve through the points. 65.) f(x)=x^3-9x 66.) g(x)=x^4-4x^2
Answer:
C
Step-by-step explanation:
If its C I'm sorry That seems correct but I don't know for sure, just my advice!
Which situation can NOT be represented by the equation y = 5x
A. Joel has y dollars. This amount is 5 times x, the amount of money his sister has
B. Joel has been playing baseball for x years. This is 5 times y, the number of years his brother has been playing baseball.
C. The value of y is five times the value of x
D. A company uses a total of y gallons of water at a rate of 5 gallons per hour for x hours
The formula for the sum of an infinite geometric series, S-7-r, may be used to convert o 23 to a fraction. What are
the values of a, and ?
23
10
10
o aq - 23, r-100
23
a-
100
- 100
23
100
1
100
I believe the number to be converted to a fraction is 0.232323..., this is 0.23 periodic.
The formula is right:
Where is 0.23 and r is 1/100
Check it here:
23/100 23/100 23
-------------- = ----------- = ------- = 0.232323...
1 - 1/100 99/100 99
So, the answer is 23/100 and r = 1/100
What is the length of CD?
Answer:
5
Step-by-step explanation:
Use formula or count the steps since it's on the same line
pleasseee helllp meeee
Answer:
The third one
Step-by-step explanation:
Answer:
Y=3x
Step-by-step explanation:
I'm pretty sure it would be y=3x because you have to multiply the cost of the tickets by the number of tickets
In the diagram, Z is the circumcenter of triangle TUV. Point Z is the circumcenter of triangle T U V. Lines are drawn from each point of the triangle to point Z. Lines are drawn from point Z to each side to form right angles and line segments Z A, Z B, and Z C. The line segments cut the sides into 2 equal parts. The length of T Z is 5 x and the length of Z U is 3 x + 4. What is the length of Line segment V Z? 2 units 6 units 8 units 10 units
Answer:
D
Step-by-step explanation:
BC
The length of Line segment VZ is 10 units if Z is the circumcenter of triangle TUV. Point Z is the circumcenter of triangle T U V option (D) 10 units is correct.
What is the triangle?In terms of geometry, the triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
We have:
In the diagram, Z is the circumcenter of the triangle TUV. Point Z is the circumcenter of triangle T U V.
As we know, The vertices of a triangle are equidistant from the circumcenter.
VZ = UZ = TZ
UZ = 3x + 4
TZ = 5x
3x + 4 =5x
5x - 3x =4
2x = 4
x = 2
TZ = 5x = 5(2) = 10 units
Thus, the length of Line segment VZ is 10 units if Z is the circumcenter of triangle TUV. Point Z is the circumcenter of triangle T U V option (D) 10 units is correct.
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The unit rate of video games is ?
How much would you pay for 10 video games?
Answer:
you will pay $75
Step-by-step explanation:
What is the volume of the figure ?
Answer:
1360m³
Step-by-step explanation:
Break it into two rectangular prisms
find the volume of each prism and add both results
In a two-digit number, the first digit is 5 less than the second digit. The number itself is three times the sum of its digits. What is the number? (I WILL MARK BRAINLIEST)
Answer:
27
Step-by-step explanation:
taking the second digit as 'x'
as per question the first digit is 'x-5'
therefore putting this in the one, tens, hundreds form
u multiply the first digit by 10 and the second by 1
therefore,
10(x-5) + 1(x)
now you have that the 2-digit number is equal to twice the sum of the digits,
so
10(x-5) + 1(x) = 3 [ (x-5) + (x) ]
on solving
10x - 50 + x = 3 (2x - 5)
11x -50 = 6x - 15
taking 6x on the right and -50 on the left
11x - 6x = 50 - 15
5x = 35
therefore x = 7
now substituting this value we get that the number is
27
Which statement is true about points located in quadrant I in the coordinate
plane?
A. The x-coordinate is negative, and the y-coordinate is negative.
B. The x-coordinate is positive, and the y-coordinate is positive.
C. The x-coordinate is positive, and the y-coordinate is negative.
O D. The x-coordinate is negative, and the y-coordinate is positive.
Please hurry
Answer:
B
Step-by-step explanation:
In Quadrant I, both the x– and y-coordinates are positive; in Quadrant II, the x-coordinate is negative, but the y-coordinate is positive; in Quadrant III both are negative; and in Quadrant IV, x is positive but y is negative.
Answer: its actually A
Step-by-step explanation:
Its not b it is A The x-coordinate is negative, and the y-coordinate is negative
Which is not a zero of the following functions
F(x)= x3 + 3x2-x-3
The difference of squares identity can be written:
a
2
−
b
2
=
(
a
−
b
)
(
a
+
b
)
We use this later with
a
=
x
and
b
=
i
f
(
x
)
=
x
3
−
3
x
2
+
x
−
3
Step-by-step explanation:
Solve the system of equations.
-9 - 6y = 15
9x – 10y = 145
Answer:
-6y=15+9
-6y=21
-6y/-6=21/-6
Y=-21/6
The product of two consecutive even integers is 8. Find the integers.
Note: each set of brackets represents one solution.
Answer:
-4 and -2
2 and 4.
Step-by-step explanation:
Let n be the first even integer.
Then the consecutive even integer will be represented by (n+2).
We know that their product is 8. So:
[tex]n(n+2)=8[/tex]
Solve for n. Distribute:
[tex]n^2+2n=8[/tex]
Subtract 8 from both sides:
[tex]n^2+2n-8=0[/tex]
Factor:
[tex](n+4)(n-2)=0[/tex]
Zero Product Property
[tex]n+4=0\text{ or } n-2=0[/tex]
Solve for n for each case:
[tex]n=-4\text{ or } n=2[/tex]
Hence, we will have two correct solutions.
Case 1: -4 and -2. -4(-2) is indeed 8.
Case 2: 2 and 4. 2(4) is also 8.
Hence, our solutions are:
-4 and -2
2 and 4.
Use the Remainder Theorem to find f(c).
f(x) = 5x5 + 2x3 - 5x2 - 3
C = 1
Answer:
f(c) = 5(c)^5+2(c)^3-5(c)^2-3
c = 1
F(1) = -1
Step-by-step explanation
1 → 5 0 2 -5 0 -3
↓ 5 5 7 2 2
5 0+5 2+5 -5+7 0+2 -3+2
5 5 7 2 2 -1
f(1) = 5(1)^5+2(1)^3-5(1)^2-3
f(1) = -1
Tom has a solid, wooden block that is a rectangular prism with non-square bases. He saws the prism parallel to the base. What shape is the cross section?
rectangle not square
triangle
diamond
square
Answer:
A) Rectangle
Step-by-step explanation:
Hope this helps :D
Rewrite the expression as the sum of two numbers
3(1+3)
Answer:
3 + 9
Step-by-step explanation:
Distribute the 3 to both numbers, so 3 x 1 = 3, and 3 x 3 = 9.
please i dont understand and show work
Answer:
y = -1.5x + 33.8
Step-by-step explanation:
The y is how much is left. every time she washes her hair, she loses 1.5. So the x can be filled in by any number to get the answer. Ex: y = -1.5(4) + 33.8. Now you multiply -1.5 by 4 and get -6. Now you have Y = -6 + 33.8. And solve from there. Pls mark brainliest is this helped
Use the slope formula to find the slope between the given two points.
(-7,-5) and (2,-8)
Answer: 3/5= 0.6
Step-by-step explanation: