a rectanguluar parking lot has a length that is 5 yards greater than the width the area of the parking lot is 300 square yards find the length and the width use formula area =length * width the -parking lot width is of yards is? the length is?
Answers
Answer:
Required Answer:-Area=300yards^2Let
Breadth =x
length=x+5
As we know that in a rectangle
\({\boxed{\sf Area=lb}}\)
Substitute the values\({:}\longrightarrow\)\(\sf x (x+5)=300\)
\({:}\longrightarrow\)\(\sf x^2+5x=300 \)
\({:}\longrightarrow\)\(\sf x^2+5x-300=0 \)
\({:}\longrightarrow\)\(\sf x^2+20x-15x-300=0 \)
\({:}\longrightarrow\)\(\sf x (x+20)-15 (x+20)=0 \)
\({:}\longrightarrow\)\(\sf (x+20)(x-15)=0 \)
\({:}\longrightarrow\)\(\sf x+20=0\:or\:x-15=0 \)
\({:}\longrightarrow\)\(\sf x=-20 (Impossible)\:or \;x=15 \)
Width=15yardsLength=15+5=20yardsRelated Questions
if lil Uzi got 67.5million views on 4 7am and you go listen how many more dose he have
100 points
Answers
(Please mark brainliest)
Sorry for taking points and not answering please don’t report me
Answer:
67,500,001
Step-by-step explanation:
Gotchu homie imma give it a listen
there's 240 candy bars 1/4 of candy bars are snickers 1/3 of the candy bars are twix 1/8 of the candy bars are hershey. how many candy bars are Mars? explain not with a lot of words but in numbers please.
Answers
Answer:
you have to add all the fractions of the candy1/4+1/3+1/8
=17/24
subtract from 1Step-by-step explanation:
1-17/24
=7/24
multiply with the total number of candy7/24×240
=70
HELP PLEASE 20 POINTS
Answers
Answer:
a b and j?
Step-by-step explanation:
Drag the tiles to the boxes to form correct pairs. Not all tiles will be used.
Match the trinomials with their factors.
a2 + a − 20
a2 − 9a + 20
a2 − 8a − 20
a2 − 12a + 20
a2 − 19a − 20
Factors
Trinomials
(a − 4)(a − 5)
arrowRight
(a − 10)(a − 2)
arrowRight
(a − 4)(a + 5)
arrowRight
(a − 10)(a + 2)
arrowRight
Answers
Answer:
2with1
4with2
1with3
3wth4
An expression is shown below: 3pf2 − 21p2f + 6pf − 42p2 Part A: Rewrite the expression by factoring out the greatest common factor. (4 points) Part B: Factor the entire expression completely. Show the steps of your work. (6 points)
Answers
The expression factoring out the greatest common factor is (3pf - 21p²)(f + 2).
We have the expression as
3pf² - 21p²f + 6pf - 42p²
Now, factorising the expression as
= 3pf² + 6pf - 21p²f - 42p²
= 3pf(f +2) - 21p²(f + 2)
= (3pf - 21p²)(f +2)
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Which number does not belong with the other three? Please explain
Answers
The number that does not belong with the other three is D. 10 x 9.2 ⁻¹³
Why is the number different from the others ?With the first three numbers, the base of the exponential that is being multiplied by the first number is 10. These numbers are:
2 . 8 x 10 ¹⁵4. 3 x 10 ⁻³⁰1. 05 x 10 ²⁸With the last number however, we see that the base of the exponential is 9. 2 and not 10 like the others. This is why 10 x 9 . 2 ⁻¹³ does not belong with the rest.
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A plumber charges $65 for a service call, plus $32 per hour of service. If he charged Mr. Jackson $257, how many hours did we work? Write an equation that represents the situation. Then, find how many hours he worked.
Answers
(65-65)+32x=257-65
32x=192
32x/32=192/32
X=6
He worked 6 hours
For two n by n square matricies A and B,
suppose rankA = rankB = n-1.
Can rank(AB) become less than n-1 ?
(e.g. rank (AB) = n-2)
If so, I humbly ask you for an example.
Thank you very much.
Answers
No, the rank of the product of two n by n square matrices A and B, denoted as AB, cannot be less than n-1 if both A and B have ranks of n-1.
According to the Rank-Nullity theorem, for any matrix M, the sum of its rank and nullity is equal to the number of columns in M. In this case, the number of columns in AB is n, so the sum of the rank and nullity of AB must be n.
If rank(A) = rank(B) = n-1, it means that both A and B have nullity 1. The nullity of a matrix is the dimension of its null space, which consists of all vectors that get mapped to the zero vector when multiplied by the matrix. Since both A and B have rank n-1, their null spaces consist only of the zero vector.
Now, considering AB, if the rank of AB were less than n-1, it would mean that the nullity of AB is greater than 1.
However, this would violate the Rank-Nullity theorem since the sum of the rank and nullity of AB must be n, which is the number of columns.
Therefore, if rank(A) = rank(B) = n-1, the rank of AB cannot be less than n-1.
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Solve for x.
13
=(5x+ 6)/8 +
(5x+4)/4
Answers
Answer: x=6
Step-by-step explanation:
To solve for x, we want to isolate the variable.
\(\frac{5x+6}{8} +\frac{5x+4}{4} =13\) [get common denominator]
\(\frac{5x+6}{8} +\frac{2(5x+4)}{8} =13\) [add fractions]
\(\frac{5x+6+10x+8}{y} =13\) [combine like terms]
\(\frac{15x+14}{8} =13\) [multiply both sides by 8]
\(15x+14=104\) [subtract both sides by 14]
\(15x=90\\\) [divide both sides by 15]
\(x=6\)
Now, we know that x=6.
Which equation represents a line that passes through (5, 1) and has a slope of StartFraction one-half EndFraction?
y – 5 = y minus 5 equals StartFraction one-half EndFraction left-parenthesis x minus 1 right-parenthesis.(x –1)
y – y minus StartFraction one-half EndFraction equals 5 left-parenthesis x minus 1 right-parenthesis. = 5(x –1)
y – 1 = y minus 1 equals StartFraction one-half EndFraction left-parenthesis x minus 5 right-parenthesis.(x –5)
y – 1 = 5y minus 1 equals 5 left-parenthesis x minus StartFraction one-half EndFraction right-parenthesis.
Answers
Step-by-step explanation:
Slope 1/2 point 5,1
in point slope form would be
(y-1) = 1/2 (x-5)
20 POINTS FOR WHOEVER CAN SOLVE THIS!
Christopher has $15 in his savings account. He wants to buy a guitar. He plans to save $10 a week. Prices for guitars at The Music Shoppe start at $130.
Which number line shows how long Christopher will have to save to buy a guitar from The Music Shoppe?
Answers
The number line that shows how long Christopher will have to save to buy a guitar from The Music Shoppe is given as follows:
Graph B.
How to obtain the inequality?Christopher has $15 in his savings account. He wants to buy a guitar. He plans to save $10 a week, hence the linear function representing his balance after x weeks is given as follows:
y = 15 + 10x.
Prices for guitars at The Music Shoppe start at $30, hence the inequality for the number of weeks is given as follows:
15 + 10x > 30
x > 15/10
x > 1.5
As the number of weeks is a discrete amount, we want dots of x = 2 and greater, hence option B is the correct option.
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Determine the total surface area and volume of each figure.
Answers
The total surface area of solid is,
S = 220 m²
And, The volume of the prism is, 200 m³
We have to given that;
A solid prism is shown in figure.
Since, The surface area of a prism is,
S = (2 × Base Area) + (Base perimeter × height)
Where, "S" is the surface area of the prism.
Hence, We get;
base area = 5 x 10 = 50 m²
height = 4 m
Base Perimeter = 2 (5 + 10) = 30
Hence, We get;
S = (2 x 50) + (30 x 4)
S = 100 + 120
S = 220 m²
Since, A prism is a solid shape that is bound on all its sides by plane faces. The volume of a prism is expressed as;
V = base area × height.
Now, For given figure,
Volume of the prism = base area × height
base area = 5 x 10 = 50 m²
height = 4 m
Hence, Volume = 50 × 4 m³
= 200 m³
Thus, The volume of the prism is, 200 m³
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What is the length of GI
Answers
Check the picture below.
so the triangles are similar by AA.
\(\cfrac{GI}{10}~~ = ~~\cfrac{15}{12}\implies \cfrac{GI}{10}~~ = ~~\cfrac{5}{4}\implies 4GI=50\implies GI=\cfrac{50}{4}\implies GI=12.5\)
Write a function g in terms of f so that the statement is true
Answers
Horizontal changes are often the opposite of what you'd expect to see in the formula.
12:
To shrink/compress horizontally by a factor of 2/3, you need \(g(x) = f(\frac{3}{2}x)\).
Notice we have the reciprocal inside of the function notation.
13:
To translate left 5 units, you have \(g(x) = f( x+5 )\).
Notice we have the opposite sign inside of the function notation.
Which ordered pair is a solution of the equation shown? A.-3/4,- 1/2 B. 0,3/4 C.4/3, 1/2 D. 4, 3/2
pls hurry = 50 point
Answers
Answer:
the answer is b, c, d, a, respectively
need help really please
Answers
Answer:
the answer is b. I need more words to submit this
What is the measurement of angle BAD? (angle BDC = 34, angle BDA = 37)
Answers
Since ∠BDA is an inscribed angle measuring 25°, the arc it intercepts, AB, must measure 50°. For the same reason, the arc intercepted by ∠BDA must measure 64°. That's a total of 114° out of the semicircle ABCD, which leaves 66° out of the 180° half-circle. That's the measure of arc BC.
Define measurement?Associating numbers with physical quantities and events is the process of measuring. The sciences, engineering, building, and other technological professions, as well as practically all daily activities, all depend on measurement.An object or event's attributes are quantified through measurement so that they can be compared to those of other things or occurrences. Measurement, then, is the process of establishing how big or little a physical quantity is in relation to a fundamental reference quantity of the same kind.Comparing a physical quantity with a recognized standard quantity of some kind is the process of measurement.Comparison of an unknown fixed quantity with a known fixed quantity of the same kind is measurement.To learn more about measurement refer to:
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Since ∠BDA is an inscribed angle measuring 25°, the arc it intercepts, AB, must measure 50°. For the same reason, the arc intercepted by ∠BDA must measure 64°. That's a total of 114° out of the semicircle ABCD, which leaves 66° out of the 180° half-circle. That's the measure of arc BC.
Define measurement?
Associating numbers with physical quantities and events is the process of measuring.The sciences, engineering, building, and other technological professions, as well as practically all daily activities, all depend on measurement.An object or event's attributes are quantified through measurement so that they can be compared to those of other things or occurrences.Measurement, then, is the process of establishing how big or little a physical quantity is in relation to a fundamental reference quantity of the same kind.Comparing a physical quantity with a recognized standard quantity of some kind is the process of measurement.Comparison of an unknown fixed quantity with a known fixed quantity of the same kind is measurement.To learn more about measurement refers to:
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Find the slope-intercept form of the line through (6, – 3) and perpendicular to the line y = 3x – 5.
Answers
Answer:
y=-1/3x-1
Step-by-step explanation:
We have the information y=3x-5, the lines are perpendicular, and the new line passes through (6,-3). The slopes of perpendicular lines are negative reciprocals so you need to find the negative reciprocal of 3, so flip it to 1/3 and multiply by -1, we get the slope of the new line as -1/3. So far we have the equation y=-1/3x+b. We are given a point on the line, (6,-3), so we can plug these into the equation as x and y to solve for the y-intercept, b. You set it up as -3=-1/3(6)+b. First you multiply to get -3=-2+b, then you add 2 to both sides to isolate the variable and you get b=-1. Then you can use b to complete your equation with y=-1/3x-1.
Find the ending
balance:
$2,500 for 25 years at
2.75% annual simple
interest
Show work
Answers
Answer:
$4,218.75
Step-by-step explanation:
The formula for computing simple interest I on a principal amount P for t years at an interest rate of R% is given by
I = Prt
The ending balance amount is found by adding the principal to the interest computed
Ending balance = P + I
Here r is the interest rate in % converted to a decimal. This is done by dividing by 100
r = R/100 = 2.75%/100 = 0.0275 per year
I = 2500 x 0.0275 x 25 = 1718.75
So interest I = $1718.75
Ending balance = $2,500 + $1718.75 = $4,218.75
Which of the following is equivalent to 6(a + 5) + 14? l'll give 50 points
A. 30a + 14
B. 6a + 19
C.6a + 44
D.6a + 70
Answers
Answer:
C. 6a+44
Step-by-step explanation:
the question can been seen in the picture
Answers
Answer:
(2)
Step-by-step explanation:
What formula can we use to find the surface area of a rectangular prism?
Answers
Answer:
○ \(\displaystyle SA = 2lw + 2lh + 2wh\)
Explanation:
A rectangle has four right angles, including two pairs of congruent edges, only containing two dimensions – height and length. Therefore, going three-dimensional, a rectangular prism has three dimensions – width, height, length. With this information, you should know what the answer is.
I am joyous to assist you at any time.
(y+7)-(2y-5) simplify expression
Answers
Answer
-y+2, or 2-y
Step-by-step explanation:
Answer:
-y + 12
Step-by-step explanation:
Step 1: Write expression
(y + 7) - (2y - 5)
Step 2: Distribute negative
y + 7 - 2y + 5
Step 3: Combine like terms
-y + 12
Rayann has 4 bracelets, Jennifer has 8 bracelets, June has 3 bracelets, and Tammy has 5 bracelets. They want to redistribute the bracelets so that each girl has the same number of bracelets. If the bracelets are redistributed, how many should each girl get?
Answers
Answer: 4
Step-by-step explanation:
4+3+5=12
12/3=4
Find m and c for this line
Y+3x=1
Answers
Answer:
m = -3 ; c = 1
Step-by-step explanation:
y = -3x + 1
y = mx + c
m = -3
c = 1
find the inverse of each equation
Answers
The inverse of the equation is determined as \(y = \log_{6}(-3x)\).
option D is the correct answer.
What is the inverse of the equation?The inverse of the equation is calculated by applying the following method;
The given equation;
y = - 6ˣ/3
The inverse of the equation is calculated as;
multiply through by 3
\(-3x = 6^y\)
Take the logarithm of both sides of the equation with base -6:
\(\log_{6}(-3x) = y\)
Finally, replace y with x to obtain the inverse equation as follows;
\(y = \log_{6}(-3x)\)
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What is the area, in square units, of the parallelogram shown below?
21
56
63
81
Answers
Answer:
63
Step-by-step explanation:
You find the area of a parallelogram the same way you would a rectangle.
A = lw or A = bh so A = (9)(7). A = 63
Answer:
C. 63
Step-by-step explanation:
To find the area of a parallelogram, it is the same formula to find a rectangles area. L x H or Base x Height.
Have a great day!
Given the function h (x) = 2x + 4, for which value of x does h (x) = 18?
Answers
The required value for which h(x) = 18 is given as x = 7.
What are functions?Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Here,
The function h(x) = 2x + 4 - - - - (1)
Since h(x) =18
Substitute h(x) = 18 in equation 1,
18 = 2x + 4
Simplify
18 - 4 = 2x
x = 14 / 2
x = 7
Thus, the required value for which h(x) = 18 is given as x = 7.
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Determine the measure of < 7
o 53
o 133
o 127
o 47
Answers
• 127
Explanation:
How to find 127,
The line is 180°, so you take 53 minus 180.
180-53=127
Hope this helps! Good luck :)
does anyone know what this is?!?! describe the transformation that occurs
Answers
Answer: see below...
Step-by-step explanation:
1. Reflection across the y axis.
2. Translation by a vector (0, -6): 0 units to the right/left, 6 units down.
Answer:
Step 1 is a reflection across the y- axis.
Step 2 is a translation 6 units down.
Step-by-step explanation: