Answer: [tex]16p^{2} -9[/tex]
The area of the rectangle is [tex]16p^{2} -9[/tex].
What is a rectangle?A rectangle is one of the types of quadrilaterals in which all four angles are right angles or equal to 90 degrees. It is four-sided polygon in which the opposite sides are parallel and equal to each other.
For the given situation,
The side length of square = 4p
The length of rectangle, l = 4p+3
The width of rectangle, w = 49-3
The formula of area of rectangle is
[tex]A=lw[/tex]
⇒ [tex]A=(4p+3)(4p-3)[/tex] [∵ [tex](a+b)(a-b)=a^{2}-b^{2}[/tex] ]
⇒ [tex]A=(4p)^{2} -3^{2}[/tex]
⇒ [tex]A=16p^{2} -9[/tex]
Hence we can conclude that the area of the rectangle is [tex]16p^{2} -9[/tex].
Learn more about the rectangles here
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The product of two numbers is 24. One of the numbers is 10 units less than the other. The numbers are:
A. 0 and 12
B. 12 and -2
C. 10 and 14
D. -12 and 2
E. -12 and -2
Which is true?
Please I need your help fast
Answer:
E. -12 and -2
Step-by-step explanation:
-12 x -2 = 24
brainliest please
Answer:
Obviously -12 and -2 is true.
Convert the following to a percentage: $0.40 out of $2.50
Answer:
16%
Step-by-step explanation:
Solution for 0.40 is what percent of 2.50:
0.40:2.50*100 =
(0.40*100):2.50 =
40:2.50 = 16
Answer:
16%planation:
x^2 + 5x + 13 pls help
Answer:
Not factorable
Step-by-step explanation:
We are given a polynomial and are asked to solve or factor it I am assuming.
To solve this, there is a certain rule I like to follow, which is for b (in this case 5), you have to find two numbers that multiply to it, and for c (in this case 13), you have to find two numbers that add to it.
Since no two numbers multiply to 5 and add to 13, therefore this polynomial is not factorable.
I need help!! Please the first drop down are (area,diameter,radius) and the second drop down are (1/3,1/2,2,3) and the last drop down are (area,diameter,radius)
Answer:
The Area of circle is 1/2 times the radius times the circumference.
Hope this helps!!!
Write an equation that models the linear relationship in the graph below
Answer:
y=-4/7x+4
Step-by-step explanation:
hope this helps
Answer:
4/7+4=y
Step-by-step explanation:
y=mx+b
Consider the inequality.
x + 3x < 24
Which value of x makes the inequality true?
A.5
B.6
C.7
D.8
Answer:
A.
Step-by-step explanation:
Solve inequality:
[tex]x + 3x<24\\4x<24\\x<6[/tex]
only one less than 6 is A. 5
Answer:
A
Step-by-step explanation:
(5) + 3(5) < 24
20 < 24
Which story shows 1/3 divided by 5?
Factorise : x³ + x - 3x² -3
Answer:
(x²+1)(x-3)
Step-by-step explanation:
Factorize x³ + x - 3x² -3
x³-3x²+x-3
Factorize
x²(x-3)+1(x-3)
= (x²+1)(x-3)
Hence the factorized form is (x²+1)(x-3)
Adam has x baseball cards Ben has twice as many as Adam Carlos has 8 more than Adam Write the expression that indicates how many cards that Carlos has.
Answer:
Step-by-step explanation:
Hello,
I am pretty sure all this would be is :
Let c = Carlos's baseball cards
c = x + 8
Since Ben in this problem is irrelevant to Carlos, we just are using Adams cards and adding 8 onto them to find Carlos's cards since he has 8 more.
Since :
"Carlos has 8 more than Adam Write"
"Adam has x baseball cards"
So:
c = x + 8
I hope this helps!
If you have any questions or concerns feel free to message me or comment!
PLEASE HELP ASAP, GIVING BRAINLIEST TO CORRECT ANSWER
The vertices of parallelogram ABCD are (2,4), B(0, 0), C(6,2), and D(8, 6). Find the coordinates of the intersection of the diagonals.
Answer:
I believe it would be 4,3 not sure though
Step-by-step explanation:
Answer:
The answer would be 4,3
Step-by-step explanation:
Graph the points on a graphing calculator, that should help when you need to find diagonals
Write the following inequality in slope-intercept form. –12x – 2y ≥ –42 y ≥ –6x – 21 y ≤ –6x – 21 y ≤ –6x + 21 y ≥ –6x + 21
Answer:
y ≤ –6x + 21
Step-by-step explanation:
20000 students took a standardized math test. The scores on the test are normally distributed, with a mean score of 85 and a standard deviation of 5. About how many students scored between 90 and 95?
Answer: 2718
Step-by-step explanation:
Given: Mean score = 85
Standard deviation = 5
Let x be the score of a random student that follows normal distribution.
Then, the probability that a student scored between 90 and 95 will be
[tex]P(90< x < 95)\\\\=P(\dfrac{90-85}{5}<\dfrac{x-\mu}{\sigma}<\dfrac{95-85}{5})\\\\= P(1< z< 2)\ \ \ \ \ [z=\dfrac{x-\mu}{\sigma}]\\\\=P(z<2)-P(z<1)\\\\=0.9772-0.8413\\\\=0.1359[/tex]
The number of students scored between 90 and 95 = 0.1359 x (Total students)
= 0.1359 (20000)
= 2718
Hence, The number of students scored between 90 and 95 = 2718
10 points possible. answer everything completely and I will mark brainliest
Answer: A is a function. B is not a function. C is a function. D is not a function. E is not a function. F is not a function. G is a function. H is a function. I is not a function.
Step-by-step explanation:
I NEED HELP ASAP PLEASE!!! I'LL GIVE BRAINLIEST FOR THE CORRECT ANSWER!!!
Answer:
x = 3
y = 4
Step-by-step explanation:
Please let me know if you want me to write an explanation for my answer :)
Can someone pls help me with this ?
Answer:
1,3,4,5
Step-by-step explanation:
I cant see 8
Yoli survey 100 people in your school and ask them if
thely feel your school has adequate parking. Only 30%
of the sample feels the school has enough parking. If
you have 728 students total in your school, how many
would you expect out of all the student body that felt
there was enough parking?
Answer:es, theoretically you would expect to roll only eight 5s. 3. You survey 100 people in your school and ask them if they feel your school has adequate parking. Only. 30% of the sample feels the school has enough parking. If you have 728 students total in your school, how many would you expect out of all the student body that ...
Step-by-step explanation:
what is the area of this triangle ?
Answer:
not a triangle, but ok
19.35
Step-by-step explanation:
you can cut off the triangle at the dotted line. put it on the other side, and you have a rectangle. 4.5x4.3=19.35
the "5cm" is a red herring. and accurate red herring, but a red herring nonetheless.
A line with a slope of 2 passes through the point (2,4). what is its equation in slope-intercept form?
Answer:
y = 2x + 0
Step-by-step explanation:
A seabird is 28 meters above the surface of the ocean. What is its elevation?
Answer:
The elevation is 28 meters.
Step-by-step explanation:
This is pretty obvious because it says that the bird is above the ocean, not below. So, it is positive.
Hope this helps! :)
can someone help me pleaseee :)
u have to make the questions become y = mx + b
Answer:
3. 8y= -7x -12
4. -3y= 4x -12
5. 7y= -2x +4
Do you want me to do the rest?
did you got it??
The rest are:
6. -3y =6x +12
7. -10y= 5x+20
8. 4y=2x +12
Find the rule. Solve for n.
Answer:
X is always 1+ bigger than Y
EX: if you have y as 9, X will be 10
Step-by-step explanation:
N = 9
Enter the number that belongs in the green box
Equilateral triangles are triangles whose all sides and angles are equal.
Since the above given triangle has 3 equal sides it is an equilateral triangle.
So, the three angles of this triangle can be 3x.
Which means :
[tex] =\tt 3x = 180[/tex]
[tex] =\tt x = \frac{180}{3} [/tex]
[tex]\hookrightarrow \tt \color{plum}x = 60°[/tex]
▪︎Therefore, x = 60°
The cereal box shown below is a rectangular prism. Find the surface area of the cereal box.
Answer:
580 cm^2
Step-by-step explanation:
First, find the area of the front and back. 20*10=200
There are 2 sides with 20*10 ( front and back) so we can multiply by 2. 200*2=400
Then, the sides. 3*20=60*2=120
Then, the top and bottom 10*3=30*2=60
400+120+60=580
Answer:
420
Step-by-step explanation:
60+60+30+30+120+120
hope this helped :)
10 + 2.5x > 35 please help meeee
[tex]x > 10[/tex]
Step-by-step explanation:
1) Subtract 10 from both sides.
[tex]2.5x > 35 - 10[/tex]
2) Simplify 35 - 10 to 25.
[tex]2.5x > 25[/tex]
3) Divide both sides by 2.5.
[tex]x > \frac{25}{2.5} [/tex]
4) Simplify 25/2.5 to 10.
[tex]x > 10[/tex]
Therefor the answer is, x > 10.
Create an expression that is equivalent to 9(3x + 5 + x) without using
parentheses.
Answer:
27x + 45 + 9x
37x + 45
it's here
need help in this show working please
Solve for the value of p.
2 Xp=44
Answer:
p=22
sooooooooooooooooo ezzzzzzzzzzzzzzzzzzzzz
{y=5x-7
y=-2x+7 Solve the system by graphing.
Answer:
I love algebra anyways
The ans is in the picture with the steps how i got it
(hope this helps can i plz have brainlist :D hehe)
Step-by-step explanation:
Answer: Put both equation into desmos and the crossing point will be (2,3) and the graph will be there.
Step-by-step explanation: 5x-7 = -2x+7 y = 5(2) - 7
5x = -2x + 7 + 7. y = 3
5x = -2x + 14
5x + 2x = 14
7x = 14
x = 2
2x-y+8z=13
3x+4y+52=18
5x-2y-72=20
Answer:
Answer is above (In the image).
Step-by-step explanation:
I am not sure if that is what you were looking for. To convert it to decimals, just input the figures into your calculator.
In my opinion the best way to solve these equations are elimination, therefore I will be giving my answer in this way!
2x-y+8z=13 1️⃣
3x+4y+52=182️⃣
5x-2y-72=203️⃣
We first combine liked terms in equation 2 and 3.
2️⃣turns into 3x+4y=-34 let's call it 2️⃣'
3️⃣turns into 5x-2y=92 let's call it 3️⃣'
Then solve for x
3️⃣'*2
10x-4y=184
3️⃣+2️⃣
13x=150
x=150/13
Now substitute the x back into equation 2️⃣'
3*150/13+4y=-34
450/13+4y=-442/13
4y=-892/13
2y=-446/13
y=-223/13
Now we can substitute this back into 1️⃣ to solve for z
2*150/13- - 223/13+8z=169/13
523/13+8z=169/13
8z=-354/13
4z=-177/13
z=-177/52
This problem is kind of messy so let me restate my answer!
x=150/13
y=-223/13
z=-177/52
I really hoped this is correct and it helped, and would appreciate it if you give me brainlliest! If you have any more questions about my solution please ask me in the comments!
A computer store bought a program at $10 and sold it at a selling price of $12 find the percent makup
Answer:
20%
Step-by-step explanation:
12-10=2
changed ÷ original x 100
2 ÷ 10 x 100
=20%