Answer:
The expression for the amount of wallpaper needed is [tex]20b^{2}- 2d[/tex]
Step-by-step explanation:
The necessary dimensions of the living room we need are the length and the height. We will not be needing the width because we will not be covering the floors with any wallpaper.
We will now assign variables to represent the surface areas of some features of the rooms.
Let the length of one wall of the living room be = l cm
Let the breadth of one wall of the living room be = b cm
Let the surface area of the doors be = d [tex]cm^{2}[/tex]
From the problem, we know that l = 5b
The area to be covered on one wall of the living room will be = length X breadth.
l X b
recall l = 5b
[tex]5b \times b = 5b^{2}[/tex]
this is the area to be covered on one wall.
For the four walls, we would have [tex]4 \times 5b^{2}= 20b^{2}[/tex]
Let us remember that the living room has two doors each covering a surface area of [tex]d cm^{2}[/tex] we will have to subtract these out since hey won't be covered.
[tex]20b^{2}- 2d[/tex]
Therefore, the expression for the amount of wallpaper needed is [tex]20b^{2}- 2d[/tex]
Kelsey received 9 birthday gifts from her friends. Three gifts were wrapped in yellow
paper, 3 gifts were wrapped in red paper, 2 gifts were wrapped in purple paper, and
1 gift was wrapped in orange paper. What is the probability that the first gift Kelsey
opened was wrapped in purple paper?
Answer: 2/9
Step-by-step explanation:
From the question, we are told that
Kelsey received 9 birthday gifts from her friends and that three of the gifts were wrapped in yellow
paper. Also, 3 gifts were wrapped in red paper, 2 gifts were wrapped in purple paper, while the remaining
1 gift was wrapped in orange paper.
The probability that the first gift will be in purple paper will be the number of gifts in purple paper divided by the total number of gifts. This will be:
= 2/9
A ball is tossed from an upper-story window of a building. The ball is given an initial velocity of 8.8 m/s at an angle of 23 SE from the window. It hits the ground 5s later. (A) how far horizontally from the building does the ball land on the ground? (B) find the height that the ball was thrown from
Answer:
a)40.5m
b)139.5m
Step-by-step explanation:
Considering downward as 'positive' y-direction
[tex]x_i=0\\y_i=0\\v_i=8.8m/s\\a_x=0\\a_y=g\\\theta = 23\degree\\t=5s[/tex]
First is to resolve initial velocity into x and y component:
[tex]v_x_i=v_icos\theta = 8.8 \times cos(23)= 8.1m/s\\v_y_i=v_isin\theta = 8.8 \times sin(23)= 3.4m/s\\[/tex]
a) in order to find horizontal position of the ball:
[tex]x_f=x_i+v_x_it+\frac{1}{2} a_xt^2[/tex]
[tex]x_f= 8.1\times5=40.5m[/tex]
b) To find the height that the ball was thrown from(vertical position):
[tex]y_f=y_i+v_y_it+\frac{1}{2} a_yt^2\\y_f=(3.4\times 5)+(\frac{1}{2} \times9.8\times5^2)\\y_f=139.5m[/tex]
Write the equation in standard form: 3x + 1 = 2y
3x + 2y = 1
3x + 2y = –1
3x – 2y = –1
3x – 2y = 1
Answer:
3x+2y=-1
Step-by-step explanation:
moving the numbers around, the outcome will have to be different
// have a great day //
Answer:
c) 3x - 2y = -1
Step-by-step explanation:
Given equation,
→ 3x + 1 = 2y
Conversion into standard form,
→ 3x + 1 = 2y
→ 3x + 1 - 2y = 0
→ 3x - 2y = -1
Hence, option (c) is correct.
A rectangular prism has a length of 4 cm, a width of 6 cm, and a height of 3 cm. what is it’s volume
Answer:
72 cm³
Step-by-step explanation:
The formula for the volume of a rectangular prism is:
V = lwh
where l is the length, w is the width, and h is the height
Let's substitute the given values into this formula:
V = lwh
V = (4)(6)(3)
Solve:
V = (4)(6)(3)
V = (24)(3)
V = 72
Therefore, the volume is 72 cubic centimeters.
Answer:
The answer is 72 cm3
Step-by-step explanation:
4 times 6 times 3
24 times 3
72
;))))))
Escribe una ecuación en la forma pendiente interceptó para la línea descrita
Ejemplo 1: pendiente 1.5 , pasa por (0,5)
fórmula y=mx+b
Ayuden por favor
Answer:
Pendiente-Intercepto:
pendiente = 1.5, intercepto = 5
Ecuacion: y = 1.5x+5
An ice cream truck that plays loud music is circling Bulans neighborhood. C(t) models the volume of the music in dB that Bulan hears, t minutes after the truck arrives in her neighborhood. Here T is entered in radians C(t)=-15cos(2pi/15t)+65 how many minutes after te truck arrives does the volume reach 75
Answer:
5.5 minutes
Step-by-step explanation:
Fill in the given information and solve for t.
75 = -15cos(2πt/15) +65
-10/15 = cos(2πt/15)
t = 15/(2π)arccos(-2/3) ≈ 5.492
The volume reaches 75 dB about 5.5 minutes after the truck arrives.
IF (-6, 4) is the endpoint of a line segment, and (-2, -1) is its midpoint, find the other endpoint.
A) (2,-6)
B) (-14, 14)
9 (-16, 12)
D) (2,9)
A midpoint has coordinates of [tex](-2, -1)[/tex] we will call them [tex](x_m, y_m)[/tex].
The coordinates of a midpoint are constructed from coordinates of enpoints [tex](x_1,y_1),(x_2,y_2)[/tex], namely as a divided sum.
[tex]
x_m=\frac{x_1+x_2}{2}\implies x_1=2x_m-x_2 \\
y_m=\frac{y_1+y_2}{2}\implies y_1=2y_m-y_2
[/tex]
Now insert the numbers.
[tex]
x_1=2(-2)-(-6)=2 \\
y_1=2(-1)-4=-6
[/tex]
The result is an endpoint at [tex](2,-6)[/tex].
L+S = 17 3L + 2S=46
Please show your work
Answer:
S= 5, L= 12
Step-by-step explanation:
To find the value of L and S, we need to first label the 2 equations.
L +S= 17 -----(1)
3L +2S= 46 -----(2)
From (1):
L= 17 -S -----(3) (-S on both sides)
Subst. (3) into (2):
3(17-S) +2S= 46
3(17) -3S +2S= 46 (expand)
51 -S= 46
-S= 46 -51 (-51 on both sides)
-S= -5
S= 5 (divide by -1 throughout)
Subst. S=5 into (3):
L= 17 -5
L= 12
a) The ratio 20 minutes to 1 hour can be written in the form 1:n.
Find the value of n.
n =
Answer:
n =3
Step-by-step explanation:
20 minutes to 1 hour can also be written as 20 minutes to 60 minutes.
when simplified, you get 1:3
Answer:
1:30
Step-by-step explanation:
minutes : hour
20 : 1
convert the hour into minutes
1 hr = 60 minds
20 : 60
it was simplified so that 20 = 1
so they did 20 divided by 20 to get it to equal to 1
1 : _____
u need to equalise it and do the same to the other side so 60 divided by 20 as well ( this equals 30)
now the ratio is:
1 : 30
Jernel has to figure out the area of her square garage. she knows that one side of the garage is equal to the length of her rabbit pen. the dimensions of the rectangular rabbit pen are 14 by 10. what is the area of the garage?
Answer: 196
Step-by-step explanation:
Just answered this...
14x14=196
Which value of f 3f+5=32 a true statement
Choose 1 answer
A
f=6
B
f=8
C
f=9
D
f=12
Answer:
C. f = 9
Step-by-step explanation:
→Subtract 5 from both sides:
3f + 5 = 32
- 5 - 5
_________
3f = 27
→Divide both sides by 3:
f = 9
Answer:
C f=9
Step-by-step explanation:
Trust me, I got the answer right.
please I really need help
Answer:
-8
Step-by-step explanation:
m∠3 + m∠5 = 180 (interior angles are supplementary)
-4x + 5 + (-13x + 39) = 180
-4x + 5 -13x +39 = 180
-17x = 180 - 5 - 39
-17x = 136
x = 136/(-17) = -8
Only need answer A answered please
HEY MATE HERE IS UR ANSWER
The graph of the function is the set of all points (x,y) in the plane that satisfies the equation y=f(x) y = f ( x ) . ... A vertical line includes all points with a particular x value. The y value of a point where a vertical line intersects a graph represents an output for that input x value.
FOLLOW ME AND MARK AS BRAINLIEST AND CHAT INBOX
Which two equations represent parallel lines?
A. Y=2x-5
B. Y=-1 over 2x +5
C. Y=1over2x-5
D. Y=2x+ 5
And why?
Answer:
A&D
Step-by-step explanation:
Lines with the same slope are parallel. 2x-5 and 2x+5 have the same slope
Answer:
A and D are parallel.
Step-by-step explanation:
Refer to the slope-intercept equation (y = mx + b).
M = the slope
If the slopes are equal, then the lines are parallel.
The slope for line A is 2, and so is the slope for line D.
Line A and line D are parallel.
Guess my rule. PLS HELP ME I BEG
Answer:
12,22,2002, 4x, 5x
Step-by-step explanation:
The rule is x2 +2
Not sure on the last 4
Sorry I answered late.
attachment need help asap
Answer:
c because the x value is equal to the y value
Step-by-step explanation:
Answer:
x=y
Step-by-step explanation:
They are both opposite each other.
Parallel to each other
Help plz!!!!!!
−3(4 − a) = 6
Answer:
a = 6
Step-by-step explanation:
use distribution method:
-3(4-a) = 6
-12+3a = 6
3a = 6+12
3a = 18
a = 18/3 = 6
_____________________________
Hey!!
Solution,
-3(4-a)=6
or, -12+3a=6
or, 3a=6+12
or, 3a=18
or,a=18/3
a=6
So the value of X is 6.hope it helps..
Good luck on your assignment
___________________________
Un cazador se encuentra en la parte mas alta de un arbol. Para averiguar a que altura se encuentra, deja caer una bola, observando que demora 4 segundos. Encuentra el alto del arbol (g=10m/s2)
Answer:
80 m
Step-by-step explanation:
La velocidad inicial de la pelota es 0 m/s.
La altura del árbol es s.
El tiempo necesario es de 4 segundos.
Podemos aplicar una de las ecuaciones de movimiento de Newton:
[tex]s = ut + \frac{1}{2}gt^2[/tex]
donde u = velocidad inicial
t = tiempo empleado
g = aceleración debido a la gravedad
Por lo tanto:
[tex]s = 0 * 4 + (1/2 * 10 * 4^2)\\\\s = 0 + 80 \\\\s = 80 m[/tex]
El árbol tiene 80 metros de altura.
Factor completely 10x2 + 2x − 8
Step-by-step explanation:
[tex]10x^2+2x-8\\2(5x^2+x-4)\\2(5x-4)(x+1)[/tex]
Answer:
[tex]2(5x-4)(x+1)[/tex]
You can check the answer by re-distributing the 2 and using the foil method :)
PLEASE HELP! Suppose the hypotenuse of a right triangle is 24 cm and one of the legs is 11 cm. Use the Pythagorean Theorem to find the measure of the triangle’s other leg. Round the measure to the nearest tenth if needed.
Answer:
The other leg is about 21.3 cm
Step-by-step explanation:
Pythagorean Theorem: a²+b²=c²
11²+b²=24²
121+b²=576
Subtract 121 from both sides
b²=455
b=[tex]\sqrt{455}[/tex]
b≈21.3
Answer:
21.3 cm
Step-by-step explanation:
We need to apply the Pythagorean Theorem.
The Pythagorean Theorem is an equation that can only be applied to right triangles. It states that for a right triangle with legs (two shorter sides) a and b and hypotenuse (longest side) c:
a² + b² = c²
Here, we know the hypotenuse is 24 cm and that one of the legs is 11 cm. We can hence say that c = 24 and a = 11 (or b = 11, but it doesn't really matter). Plug these values into the equation to find the other leg length:
a² + b² = c²
11² + b² = 24²
121 + b² = 576
b² = 576 - 121 = 455
b = √(455) ≈ 21.3 cm
Thus, the answer is 21.3 cm.
~ an aesthetics lover
What is $ 1.20 x 5 =? My brain is not working! LOL!
Answer:
6.25
Step-by-step explanation:
=1.20*5
=6.25
Answer:
6
Step-by-step explanation:
1.20 x 5 = 6
6/5 = 1.20
Pleas help !!!
Choices
X= -1
Y = -1
X = 1
Y= 1
Answer:
x=-1
Step-by-step explanation:
The axis of symmetry is along the vertex
The vertex is at (-1,-2)
The x coordinate is -1
x=-1
I will mark you brainliest!!! Identify the exponential function shown in the graph.
Answer:
Letter B.
Step-by-step explanation:
Look for where the line corsses the Y axis. that will tell you the most about this line and it corsses at 8 so that can be the only one correct.
Using the slope and the yintercept, graph the line represented by the following equation. Then select the correct graph. 2y+4=0
the transformation shown is a rotation
true or false
Answer:
True
Step-by-step explanation:
Um homem estava indo para a Bahia com suas sete irmãs. Cada irmã carregava sete caixas, cada caixa tinha sete gatos,cada gato estava com sete filhotes. Quantos estavam indo para a Bahia?
Answer:
2,752
Step-by-step explanation:
English Translation
A man was going to Bahia with his seven sisters. Each sister carried seven boxes, each box had seven cats, each cat had seven puppies. How many were going to Bahia?
Solution
1 man was going to Bahia
With his 7 sisters.
Total nunber of humans = 1 + 7 = 8 humans
Each of the 7 sisters carried 7 boxes.
Each of the 49 boxes had 7 cats
Total number of cats = 7 × 7 × 7 = 343 cats
Each of the 343 cats had 7 puppies
Total number of puppies = 7 × 343 = 2401 puppies.
Total number of living things going to Bahia
8 humans + 343 cats + 2401 puppies
= 2,752
Hope this Helps!!!
Please answer correctly !!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!
Answer:
$12 million
Step-by-step explanation:
Vertex form of a quadratic equation:
y=a(x-h)^2+k
where (h,k) is the vertex.
The vertex is (5,12), and it is a maximum since a is negative.
Therefore, the maximum value is $12 million.
Associative
Property
Answer:
Below
Step-by-step explanation:
The associative property states that you can add or multiply numbers in any group.
Ex:
x + y + z = x + y + z
(x + y) + z = x + (y + z)
x * y * z = x * y * z
(x * z) * y = (x * y) * z
Addition: According to the associative property of addition, the sum of three or more numbers remains the same regardless of how the numbers are grouped or arranged. Here's an example of how the sum does NOT change irrespective of how the addends are grouped.
Multiplication: According to the associative property of multiplication, the product of three or more numbers remains the same regardless of how the numbers are grouped. Here's an example of how the product does not change irrespective of how the factors are grouped.
Division and Subtraction = NO ASSOCIATIVE PROPERTY
which method can be used to solve 11x13
Answer:
Simple column method
Step-by-step explanation:
11
x 13
33
110
143
Answer:
Use the grid method, since it is the most obvious option. But, you may also use the distribution method.
Step-by-step explanation:
Distribution method:
divide 13 into 10 +3
then multiply 11 with 10 and 3 individually.
This can be written as 11(10+3) = 110+33 = 143
Please mark brainiest
2y/5y cube + 4y square + 6y
Answer:
here down is the answer
(2y/5y)^3+4y^2+6y
8y^3/125y^3 +16y^2+6y
8/125+16y^2+6y
8/125+16y^2+6y=0
16y^2+6y+8/125=0
it is in the form of quadratic equation
formula :
x=(-b+-square root of b^2-4ac) /2a
here a=16,b=6&c=8/125
x=(-b+-square root of b^2-4ac)/2a
x=(-6+-square root of 36-4.09)/2a here 4.09 came by calculation
x=(-6+-31.91)/2
so
x=(-6+31.91)/2 first (+);
x=25.91/2
x=12.955;
x=(-6-31.91)/2 then(-);
x=-37.91/2
x=-18.955 ;
ans is = 12.955&-18.955;
