Answer:
w² + 4w - 525 = 0
Width of rectangle = 21 feet
Length of rectangle = 25 feet
Step-by-step explanation:
Given:
Area of rectangular floor = 525 ft²
Find:
Equation
Dimensions of the floor
Computation:
Assume;
Width of rectangle = w feet
So,
Length of rectangle = w + 4 feet
Area of rectangular floor = length x width
Area of rectangular floor = w(w + 4)
525 = w² + 4w
w² + 4w - 525 = 0
w² + (25 - 21)w - 525 = 0
w² + 25w - 21w - 525 = 0
w(w + 25) -21(w + 25)
(w + 25)(w - 21)
So,
w = -25 , w = 21
So,
Width of rectangle = 21 feet
Length of rectangle = w + 4 feet
Length of rectangle = 21 + 4 feet
Length of rectangle = 25 feet
True or false? if Matrix A is 3 X 2 and matrix B is 2 X 17 matrix, you can do A X B
A. True
B. False
Use the distributive property to write the next step in simplifying the equation.
Use the asterisk symbol ( * ) to represent multiplication. Do not multiply
factors fully and do not use spaces.
-1(3 + x) = 27
Answer:
-1*3-1*x=27
Step-by-step explanation:
If Cody has 11 dimes and quarters in his pocket, and they have a combined value of 170 cents, how many of each coin does he have?
Answer:
12 dimes and 2 quarters
Step-by-step explanation:
12 dimes is 120 cents and 2 quarters is 50 cents that perfectly gives us 170 cents. As worded if he has 11 Dimes and the rest is quarters and we want 170 cents then it's impossible. 11 dimes is going to be 110 cents plus 2 quarters is 160 cents or plus 3 quarters is going to be 185 cents. therefore you are either short or over the money.
Which equation below allows you to solve 2x2 - 15 = x Using the zero-product property?
Answer:
A is the correct answer .
Step-by-step explanation:
Hope this helps .
The equation that allows you to solve the given equation is (x-3)(2x+5).
What is a quadratic equation?Any equation of the form [tex]ax^{2} +bx+c=0[/tex] is called a quadratic equation where a is non-zero.
The given quadratic equation is:
[tex]2x^{2} -15=x[/tex]
[tex]2x^{2} -x-15=0[/tex]
[tex]2x^{2} -6x+5x-15=0[/tex]
[tex]2x(x-3)+5(x-3)=0[/tex]
[tex](x-3)(2x+5)=0[/tex].......(1)
So, the required equation is equation(1).
Hence, the equation that allows you to solve the given equation is (x-3)(2x+5).
To get more about quadratic equations visit:
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Mendeleev was the first to organise elements based on their similarities *
True
False
Answer: True
Step-by-step explanation:
Which type of parent function does the equation f (x) = a represent?
Parent functions are the base function of a family function. [tex]f(x) = \sqrt x[/tex] is the parent function of the square root function
Given that:
[tex]f(x) = \sqrt x[/tex]
The parent function of a cube root function is:
[tex]f(x) = x^3[/tex]
The parent function of a reciprocal function is:
[tex]f(x) = \frac 1x[/tex]
The parent function of an absolute function is:
[tex]f(x) = |x|[/tex]
The parent function of a square root function is:
[tex]f(x) = \sqrt x[/tex]
By comparing the above parent functions to [tex]f(x) = \sqrt x[/tex], we can conclude that [tex]f(x) = \sqrt x[/tex] is the parent function of a square root function.
Hence, (d) is true
Read more about parent functions at:
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NEED HELP ASAP WILL GIVE BRAINLIEST REAL ANSWERS ONLY PLZ
Answer:
D
Step-by-step explanation:
They are trying to see how long it takes people to complete the writing portion of the test.
The daily cost, in dollars, to produce
x
gallons of handmade ice cream is
C
(
x
)
=
x
+
11
. The price-demand function, in dollars per gallon, is
p
(
x
)
=
−
0.15
x
+
20.8
Find the daily profit function.
Find the maximum daily profit. any gallons of ice cream need to be sold each day to maximize the profit.
Find the price to charge per gallon to maximize profit
9514 1404 393
Answer:
f(x) = -0.15x^2 +19.8x -11 . . . profit function$642.40 maximum daily profit66 gallons sold$10.90 per gallonStep-by-step explanation:
Given:
daily cost function c(x) = x +11
price-demand function p(x) = -0.15x +20.8
Find:
daily profit function
maximum daily profit
quantity sold for maximum profit
price for maximum profit
Solution:
The revenue is the product of price and demand:
x·p(x) = -0.15x^2 +20.8x
The profit is the difference between revenue and cost:
f(x) = x·p(x) -c(x) = -0.15x^2 +20.8x -x -11
f(x) = -0.15x^2 +19.8x -11 . . . . . daily profit function
__
The maximum profit will be had a the vertex of the curve, found where ...
x = -(19.8)/(2(-0.15)) = 66
f(66) = (-0.15·66 +19.8)66 -11 = 9.9·66 -11 = 642.40
The maximum profit is $642.40, when 66 gallons of ice cream are sold.
__
The price that will result in demand of 66 gallons of ice cream is ...
p(66) = -0.15(66) +20.8 = 10.9
The price to charge per gallon to maximize profit is $10.90.
Find the missing side length.
AJKL ~ AGKH
look at pic 10 pts will mark brainilest
Answer:
The Answer is C
Step-by-step explanation:
2.00/5= C
can i have brainlist please :)
ANSWER !!
ILL GIVE 40 POINTS !!
DONT SKIP :((
PLUS BRAINLIEST !
Answer:
864 inches cubed
Step-by-step explanation:
Since the volume is the 3 units multiplied together, 16 x 9 x 6 is 864.
PLEASE ANSWER ASAP DUE IN 2 MIN WILL GIVE BRAINLEST!!!!!!!!!!!!!!!!
PLEASE ONLY ANSWER PART B
Answer:
because cfd eaquls a+b lllllllllll
Answer:
Step-by-step explanation:
IT is either the same as 7x+4 because it is infront of each other or you add 8x+6 and 6x+2 then you substract that from 180 to find out the remaining angle. Of course you have to subtitute the amount of x first.
Callie's and jordan's families were driving to their family reunion in Marshall. Callie's family traveled from Ontario to Marshall. Jordan's family traveled from lucerne to Marshall.haw many more miles did one family drive than the other?
A.41.9 miles
B.423.4 miles
C.465.3
D.888.7
Answer:
it's 423.4 miles
Step-by-step explanation:
sotry for taking a while I didn't get your notification
Use the spinner to find the theoretical probability of the event. Write your answer as a fraction or a percent rounded to the nearest tenth.
The theoretical probability of spinning a 1 is
PLEASE HELP ME!!!
50 points and brainliest!
Solve for x: 3a-b/x-b=1/x+1, if a≠b+1/3
(a picture will be provided as well)
Answer:
3a-b/(x-b)=1/(x+1)Doing criss cross multiplication
3a(x+1)-b(x+1)=x-b
3ax+3a-bx-b=x-b
3ax-bx-x=b-3a-b
x(3a-b-1)=-3a
x=3a/(3a-b-1)
Which pair of expressions are equivalent?
27x + 45y and 7(9x + 7y)
2x + 18y and 2(x + 9y)
2(15x + y) and 30x + 15y
10(4x + 5y) and 20x + 10y
Answer:
second one
Step-by-step explanation:
Because when you try to remove the brackets then you should multiply coefficient of x and coefficient of y by 2
So it will be 2x+18y
2*9=18
What is the median of 2,1,2,5,3
Answer:
2
Step-by-step explanation:
Rearrange the data set in numerical order: 1, 2, 2, 3, 5 and take the number in the middle.
helpp:)))) PLS
Answer the following using >, <, or =. | − 4| ______ |4|
A: <
B: >
C: =
Answer:
=
Step-by-step explanation:
Because |-4| is basically 4 since its the absolute value of that..
40 POINTS !! 40 POINTS !!
PLEASE HELP , DONT SKIP !
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I believe it's 4 as 32 fluid ounces is 1 quart
Answer:
ok so you said 40 points but theres only 5 points....xD anyways,
we know that 4 would be as 32 fluid ounces.
that would equal 1 quart.
hope this helps! best of luck!!!!
someon help me answer this!!
Answer:
12.0 units is the answer
Step-by-step explanation:
Pythagorean theorem can be written as,
[tex]d=\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2} \\\\d=\sqrt{(6-(-2))^2 + (1-(-8))^2}\\\\d=\sqrt{(8\\)^2+(9)^2} \\\\d=\sqrt{64+81} \\\\d=\sqrt{145} \\\\d=12.041...[/tex]
Rounding off,
d = 12.0 units
Find the measure of the arc or angle indicated.
Find the meausre of arc HG.
Answer:
the measure of arc HG is 136
repersent 3 and 1/3 on a number line
Answer:
Step-by-step explanation:
To address 1/3 on a number line, we split the hole among O and An into 3 equivalent parts. Leave T and Q alone the marks of division. At that point, T addresses 1/3 and Q addresses 2/3, since 2/3 methods 2 sections out of 3 equivalent parts as demonstrated beneath. By utilizing a similar system, point O addresses 0/3 and point An addresses 3/3.
Another way of saying it is:
In portrayals of divisions on a number line we can show parts on a number line. To address 1/2 on the number line, draw the number line and imprint a direct A toward address 1.
Presently, split the hole among O and An into halves. Leave T alone the mark of division. At that point, point T addresses 1/2.
Portrayals of Fractions on a Number Line
To address 1/3 on a number line, we split the hole among O and An into 3 equivalent parts. Leave T and Q alone the marks of division. At that point, T addresses 1/3 and Q addresses 2/3, since 2/3 methods 2 sections out of 3 equivalent parts as demonstrated underneath.
Portions on a Number Line
By utilizing a similar technique, point O addresses 0/3 and point An addresses 3/3
brainliest?
The number of students that participated in sports last year was 100. This year there are 140 students participating in sports. What is the percent of increase in the number of students participating in sports from last year to this year? __________%
Answer: 40%
Step-by-step explanation:
HOPE THIS HELPS ^^
Reuben will rent a car for the weekend. he can choose one of two plans. the first has no initial fee but costs $0.90 per mile driven. The second plan has an initial fee of $65 and costs an additional $0.70 per mile driven. How many miles would Reuben need to drive for the two plans to cost the same?
Answer:
80 miles for the .9 one.
Step-by-step explanation:
Annette had a 24 karat gold necklace with a mass of 2.3grams. she sold for $123.51.What was the price per gram of her necklace?
Answer:
$53.70 per gram
Step-by-step explanation:
Just divide the price (123.51) by the amount of grams (2.3) to get your answer, which should be $53.70 per gram
Hopefully this helps - let me know if you have any questions!
2. Find the length of a side of a square if its area is:
a. 81 square inches
b. cm
c. 0.49 square units
d. m² square units
Answer:
9 inches ; 0.7 units ; m units
Step-by-step explanation:
The area of a square is give as :
The square of the side length of the square ; that is ;
Area of square = s² ;
Where s =! Side length of the square
Hence ;
A square with area = 81 in²
Length of its side = sqrt(81) = 9 inches
Area of square = 0.49 unit²
Length of its side = sqrt(0.49) = 0.7 units
Area of square = m² unit²
Length of its side = sqrt(m²) = m units
The graph below shows the solution set of which inequality ?? HELP FASTTT
Answer:
A.The graph shows the solution set of the equality √x < -1
(No Solutions)
Look at the image for the question:
9514 1404 393
Answer:
te, tm, (m-e), t
Step-by-step explanation:
The problem statement tells you how to interpret the expressions and their parts.
Swap the top two expressions on the right and the list will be in the appropriate order:
tetmm-etCan someone help me solve this one step equation
Answer:
b = -108
Step-by-step explanation:
Step-by-step explanation:
Given
[tex] - 6 = \frac{b}{18} \\ cross \: multiply \\ b = - 6 \times 18 \\ b = - 108[/tex]
Hope it will help :)❤
40 POINTS !! 40 POINTS !!
PLEASE HELP , DONT SKIP !
NO LINKS OR FILES.
Answer:
<5,2>
Step-by-step explanation: