Answer:
pop music of 90
21. You place a mat around a 25 in by 21 inch painting as shown. The mat
is twice as wide at the left and right of the painting as it is at the top an
bottom of the painting. The area of the mat is 714 square iinches (note:
the area of the border). How wide is the mat at the left and right of the
painting? At the top and bottom of the painting? (P.264 #66)
Using a quadratic equation according to the area of the rectangular mat, it is found that:
At the top and bottom of the painting, the width is 0.654 inches.At the left and right of the painting, the width is of 1.308 inches.The area of a rectangle of length l and width w is given by:
[tex]A = lw[/tex]
In this problem:
The length of the figure is of [tex]l = 25 + 4x[/tex].The width of the figure is of [tex]w = 21 + 2x[/tex].Area of 714 square inches, thus:[tex]lw = 714[/tex]
[tex](25 + 4x)(21 + 2x) = 714[/tex]
[tex]8x^2 + 134x + 525 = 714[/tex]
[tex]8x^2 + 134x - 189 = 0[/tex]
Which is a quadratic equation with [tex]a = 8, b = 134, c = -189[/tex].
The, to find the widths of the mat, we have to first find the value of x, solving the quadratic equation.
[tex]\Delta = 134^2 - 4(8)(-189) = 24004 [/tex]
[tex]x_{1} = \frac{-134 + \sqrt{24004}}{2(8)} = 0.654[/tex]
[tex]x_{2} = \frac{-134 - \sqrt{24004}}{2(8)} = -9.03[/tex]
We are interest in the positive value of x, so x = 0.654.
At the top and bottom of the painting, the width is of 0.654 inches.[tex]2(0.654) = 1.308[/tex]
At the left and right of the painting, the width is of 1.308 inches.A similar problem is given at https://brainly.com/question/14099239
If a car travels 200km in 2.5 hours, how far would it travel in 6 hours at the same rate of speed?
Answer: 500km I believe
Step-by-step explanation:
hope this helps :)
Answer:
I think that the answer is 850
Step-by-step explanation:
find out how many km traveled 0.5 hours, then multiply by 12
Evaluate.
(3⋅7)+(5⋅9)
Enter your answer in the box.
Answer:
21+45 and in total is 66 if u add them up
please mark me brainless
Step-by-step explanation:
Hello!
Answer:
66
Step-by-step explanation:
Hope this helps!
Which one is the answer!
What number would you get if you multiply the's numbers
1,2,3,4,5,6,7,8,9,10 ?
Multiply 2 digit numbers with area models. 26x74
Answer:
26 x 74 is 1924
Step-by-step explanation:
Is just lining the numbers up.
The height of a model rocket, H(t), is a function of the time since it was
launched, t.
Time (seconds)
What is the domain of H(t)?
A. t <100
B. T>0
C. 0
D. 0
The domain of function H(t) is 0 ≤ t ≤ 20.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
From the graph,
We see that the value of t is from 0 to 20 seconds.
Now,
The value of t can be written as an inequality:
0 ≤ t ≤ 20
Thus,
The domain of function H(t) is 0 ≤ t ≤ 20.
Learn more about functions here:
https://brainly.com/question/28533782
#SPJ7
a. After Pam bought the party supplies, what is the balance of her bank account compared with her
starting balance? Show your work.
Answer:
What is the original Balance, and what is the price of the party supplies?
Hey, how are you?
I am trying to do 100 points for you guys just saying how you are daily!
Answer:
My day has been pretty okay!!
Step-by-step explanation:
Thank you for asking!!
Answer:
My day is going alright. Though, I am a bit stressed out since I am currently studying for an upcoming test.
what percent of 235 is 148.05
Answer:
63% is the correct answer hope this helps
What is the value of g(2)
Answer:
Its value is 9.8 m/s2
Answer:
9.8 m/s2
Step-by-step explanation:
The mean weight of five complete computer stations is 163 pounds. The weights of four of the computer stations are 155 pounds, 160 pounds , 165 pounds and 171 pounds what is the weight of the fifth computer
Answer:
answer : 164 pounds
Step-by-step explanation:
total weight of five computers
163 x 5 = 815 pounds
the weight of the fifth one = total
weight - other four
815-155-160-165-171=164 pounds
hope it helps :)
2/5x11 in simplest form
Answer:
25 is already in the simplest form. It can be written as 0.4 in decimal form (rounded to 6 decimal places).
so its in its simplest form
Answer:
4 2/5 or 4.4
Step-by-step explanation:
2/5 x 11
22/5
Make sure to turn it into a mixed number.
Solve:-4(-6x - 3) =12
Answer:
Step-by-step explanat ion:
<=>2 4x+12 = 12
<=>24 x = 0
<=>x =0
Solve for w.
–1.01 = 1.4(w + 2) − 2.41
w=0
Step-by-step explanation:
-1.01=1.4(w+2)-2.41
-1.01=1.4w+2.8-2.41
-1.01=1.4w+0.39
-1.01-0.39=1.4w
+1.4=1.4w
1.4/1.4=w
0=w
So,the answer is w=O
I hope it is very helpful
A case of 24 pairs of the same kind of sport shoes cost a little more than $800 explain whether $28 per pair with tax included is a good estimate of the price
12 + 4[5% - 4(x + 5)] = 7 - 5x
Answer:
https://brainly.com/question/24983242 help
Step-by-step explanation:
12 + 4[5% - 4(x + 5)] = 7 - 5x
12 + 4•(5% - 4•(x + 5)) = 7 - 5•x
11x = -55
x = -5
Answer:
[tex]x = - \frac{34}{5} [/tex]
Step-by-step explanation:
12 + 4 (5% - 4(x + 5)) = 7 - 5x
12 + 4 (5/100 - 4x - 20) = 7 - 5x
12 + 4 (-399/20 - 4x) = 7 - 5x
12 - 399/5 - 16x = 7 - 5x
-399/5 - 16x = 7 - 5x
-16x + 5x = 7 + 339/5
-11x = 374/5
x = -34/5
-5/2x-19/10
Plss Answer this in fraction form, and simplified, I can't figure it out!
Answer:
= -25x-19/10
Step-by-step explanation:
Write in words. Use commas and hyphens.
38,492
Thirty-eight thousand, four hundred and ninety-two
Simply write out the number as you would say it out loud!
Find the slope of the line through each pair of points
(10, -14), (11,11)
Hello there! I can help you with joy! :)
If we have 2 points, then we can find the slope using this formula:
m=[tex]\frac{y2-y1}{x2-x1}[/tex]
y2=11
y1=-14
x2=11
x1=10
[tex]\frac{11-(-14)}{11-10}[/tex]
[tex]\frac{11+14}{1}[/tex]
25
Hope this helps you!
#HaveAnAmazingDay
[tex]GraceRosalia[/tex]
Polynomials
Multiply (x - 5)(3x – 2)
9514 1404 393
Answer:
3x² -17x +10
Step-by-step explanation:
Use the distributive property and collect terms.
(x -5)(3x -2) = x(3x -2) -5(3x -2)
= (3x² -2x) +(-15x +10)
= 3x² -17x +10
A large national park has an area of 91,417 acres. What is its area in hectares
Answer:
36995.1474
Step-by-step explanation:
multiply the area value by 2.471
One floor of a dollhouse is 1.6 feet tall. The dollhouse contains two levels of living areas and an attic for a total of 2.5 floors. Jaime estimates the height of the dollhouse by computing 2 times 3. How does her estimate compare to the actual height of the dollhouse?
Answer Options:
-Her estimate is greater than the actual height because both factors were rounded up.
-Her estimate is less than the actual height because both factors were rounded up.
-Her estimate is greater than the actual height because both factors were rounded down.
-Her estimate is less than the actual height because both factors were rounded down.
Answer:
Her estimate is greater than the actual height because both factors were rounded up.
Step-by-step explanation:
Hope this helps :)
Answer:
A. Her estimate is greater than the actual height because both factors were rounded up.
Step-by-step explanation:
Hope this helped! :)
35 more than twice the number is 65. Find the number.
Answer: 15
Step-by-step explanation:
2x + 35 = 65
2x = 30
x = 15
DONT CLICK ON THIS ok lol
She can only buy 2 whole packs.
Acording to the graph, 2 whole pakcs will cost $22, and 3 whole packs will cost $33. She can't afford 3 whole packs as we can see as she only has $30.50.
Let me know if you have any questions, thanks!
Answer:
u told me not to so i did it (its might be B)
Step-by-step explanation:
so i do the did the and the make than the marh and rhe barf and the ract and the rekt
1. What is 85% of 620?
1147
527
729
465
Answer:
465 I think is the answer
% / 100 = Part / Whole
replace the given values:
85 / 100 = Part / 620
Cross multiply:
= 85 x 620 = 100 x Part
= 52700 = 100 x Part
Now, divide by 100 and get the answer:
Part = 52700 / 100 = 527
What is the difference of 9.2 and 0.03
Answer:
9.17
Step-by-step explanation:
9.20-0.03=9.17
Answer:
9.17
Step-by-step explanation:
9.20
-0.03
_____
9. 17
show your solution need an answer, please need an answer, please.
Answer:
As follows,
Step-by-step explanation:
You can solve these either by factoring or using the quadratic formula or other ways,
1. x^2+2x+1=0
Factoring,
(x+1)^2=0
x+1=0
x=-1
2.y^2-y-2=0
Using quadratic formula,
(-b±√(b^2-4ac))/2a
(--1±√(-1^2-4*1*-2))/2*1
(1±√(1+8))/2
(1±√(9))/2
(1±3)/2
y=(1±3)/2
y=(1+3)/2 y=(1-3)/2
y=4/2 y=-2/2
y=2 y=-1
3.y^2+y+1=0
Using quadratic formula,
(-b±√(b^2-4ac))/2a
(-1±√(1^2-4*1*1))/2*1
(-1±√(1-4))/2
(-1±√(3))/2
No real roots
4. x^2+9x+18=0
Using quadratic formula,
(-9±√(9^2-4*1*18))/2*1
(-9±√(81-72))/2
(-9±√(9))/2
(-9±3)/2
x=(-9+3)/2 x= (-9-3)/2
x=-6/2 x=-12/2
x=-3 x=-6
5.x^2+5x+6=0
Using quadratic formula,
(-5±√(b^2-4ac))/2a
(-5±√(5^2-4*1*6))/2*1
(-5±√(25-24)/2
(-5±1)/2
x=(-5+1)/2 x=(-5-1)/2
x=-4/2 x=-6/2
x=-2 x=-3
6. 3n^2-13n-10=0
Using quadratic formula,
(-b±√(b^2-4ac))/2a
(-(-13)±√(-13^2-4*3*(-10)))/2*3
(13±√(169-(-120))/6
(13±√289)/6
The discriminant b^2−4ac>0
So there are 2 real roots.
x=(13±17)/6
x=30/6 or x=-4/6
x=5 or x=-2/3
What is the difference of 18 - 10 2/8 ?
Answer:
7 3/4
Step-by-step explanation:
[tex]18 - 10\frac{2}{4}[/tex] [tex]18 - 10\frac{1}{4}[/tex] [tex]18 - \frac{41}{4}[/tex] [tex]\frac{72}{4} - \frac{41}{4}[/tex] [tex]\frac{31}{4}[/tex] [tex]7\frac{3}{4}[/tex]Without calculating determine wether the product is positive or negative
Answer:
Positive because a negative times a negative is a positive
Step-by-step explanation: