Kevin built a deck in his backyard. The length of the deck was x feet and the width of the deck was 3 feet longer than the length. Write and simplify an expression to represent the perimeter of Kevin's deck.
Answer:
4x + 6 feet
Step-by-step explanation:
The deck is the shape of a rectangle
Hence, the perimeter of a rectangle is:
P = 2L + 2W
Where
L = Length = x feet
The width of the deck was 3 feet longer than the length.
W = Width = 3 + x feet
Hence:
Perimeter = 2(x ) + 2(3 + x)
Perimeter = 2x + 6 + 2x
Perimeter = 4x + 6 feet
Hence, the expression for the Perimeter of the deck is given as:
4x + 6 feet
Damien is competing in both swimming and running at a competition. After analyzing himself and his competitors, he knows that he has a 65% chance of winning at swimming and an 85% chance of winning at running. What is the probability that he will win the running event, but lose the swimming event?
Answer:
[tex]Probability = 0.2975[/tex]
Step-by-step explanation:
Giving:
Swimming
[tex]P(Win[Swim])= 65\%[/tex]
Running
[tex]P(Win[Run])= 85\%[/tex]
Required
Determine the probability of winning at running and losing at swimming
First, we calculate the probability of losing at swimming using
[tex]P(Win) + P(Lose) = 1[/tex]
Substitute 65% for P(Win)
[tex]65\% + P(Lose[Swim]) = 1[/tex]
Collect Like Terms
[tex]P(Lose[Swim]) = 1 - 65\%[/tex]
[tex]P(Lose[Swim]) = 35\%[/tex]
The required probability is then calculated using:
[tex]Probability = P(Win[Run]) * P(Lose[Swim])[/tex]
[tex]Probability = 85\% * 35\%[/tex]
Convert to decimal
[tex]Probability = 0.85 * 0.35[/tex]
[tex]Probability = 0.2975[/tex]
Here is a number machine.
Answer:
The output is 3n + 6
Step-by-step explanation:
You have to apply all of the steps in order:
Since we cannot simplify n+2, we have to write it as (n+2). Next, since we do the next step, multiply by 3. This would be 3(n+2), and if you apply the distributive property (multiply), you would get 3 * n + 2 * 3, or 3n + 6.
Answer: 3n + 6
annyone wanna help 9x-14=22
Answer:
4
Step-by-step explanation:
Which one is equivalent? Answer needed ASAP!!
Will mark Brainliest!!
Answer:
-5÷17, -5/17, 5/-17
Step-by-step explanation:
Answer:
-5/17, 5/(-17), 5/-17 (sorry if they're wrong i'm doing my homework at the same time.)
Step-by-step explanation:
Calculate the volume of the following shape.
8cm
20cm

Answer:
Volume of Cylinder =
[tex]\pi {r}^{2} h[/tex]
So :
Step-by-step explanation:
[tex]volume = 3.14 \times ( {8}^{2} ) \times 20 = 3.14 \times 64 \times 20 = 4019.2[/tex]
Answer:
Volume = 4021.24 cm ^3
Step-by-step explanation:
V = πr2h = π·82·20 = 4021.2386 cm ^3
Which function shows a fabric with a price of $1.25 per square yard?
Answer:
D
Step-by-step explanation:
What are is the answer here and why? Use the notes in the left.
Answer:
X = 3.
explanation is in the picture.
hope it helps.
Answer:
x = 3
Step-by-step explanation:
2(3x -5) + 3x + 3 = 20
^^ solve parenthesis
6x - 10 + 3x + 3 = 20
+10 +10
add ten to both sides
6x + 3x + 3 = 30
add like terms
9x + 3 = 30
-3 -3
subtract 3 from both sides
9x = 27
divide both sides by 9
x = 3
what is 5000000000000000times 409458374.9394ir
Answer:
2,047,291,874,697,000,000,000,000
Step-by-step explanation:
that is the answer to the multiplication statement xD
A city received 2 inches of rain each day for three days The meterorologist said that is the rain had been snow each inch of rain would have been 10 inches of snow How much snow would that city have received in the three days
9514 1404 393
Answer:
60 inches
Step-by-step explanation:
The total amount of rain received was ...
(2 in/day)(3 day) = 6 in
The conversion factor for snow is (10 in snow)/(1 in rain), so the equivalent is ...
(6 in rain) × (10 in snow)/(1 in rain) = 60 in snow
The city would have received 60 inches of snow.
hi, can you please do these? thanks for helping!
Answer:
i will answer you other if u rate me brainliest
Answer: (A) 1/10: 5 9/10 :5/6
(B) 3 3/4: -2 7/50
(C) 8 5/8 : 4/9
(D)2 2/5: 2 67/210: -2 2/3
(E)-1 1/2 : 81/128
Step-by-step explanation:
hopes this helps
x - y = 2
x + y = -3
Solve this using elimination
Quickly please!!!!
SOLVE FOR X, EXPLAIN PLEASE URGENT.
H varies directly to the cube of c.
When H = 40, C = 2.
(a) Express H in terms of c.
Answer:
H in terms of c is H = 5c³.
Step-by-step explanation:
Given that:
H = 40 and c = 2
H varies directly to the cube of c.
Which means that,
H ∝ c³
Let,
k be the proportionality constant.
H = kc³
Putting H=40 and c=2
[tex]40=k(2)^3\\40=k(8)\\40=8k\\8k=40[/tex]
Dividing both sides by 8,
[tex]\frac{8k}{8}=\frac{40}{8}\\k=5[/tex]
Now,
H in terms of c.
H = 5c³
Hence,
H in terms of c is H = 5c³.
Find the sum or difference:
(2w - 9) + (-4w - 5)
(6d + 5) - (2 - 3d)
(4 - 5y) - (2y - 16)
Answer:
-2w+-14
3d+3
-7y+-16
Step-by-step explanation:
Remove ()- 2w+-9+-4w+-5
2w+-4w = -2w
-9+-5 = -14
-2w+-14
Remove ()- 6d+5+-2+-3d
6d+-3d = 3d
5+-2 = 3
3d+3
Remove ()- 4+-5y+-2y+-16
-5y+-2y = -7y
4+-16 = -12
-7y+-12
Write a real-world problem that is represented by the inequality below. x >5
y = –2x2 + 8x - 3
help :c
Answer:
8x-7
Step-by-step explanation:
-4+8x-3
8x-4-3
8x-7
90 Points! Select the correct answer. (Screenshot attached)
[tex]\\ \rm\Rrightarrow \sqrt[3]{686x^4y^7}[/tex]
[tex]\\ \rm\Rrightarrow \sqrt[3]{343(2)x^4y^7}[/tex]
[tex]\\ \rm\Rrightarrow \sqrt[3]{7^3(2)x^4y^7}[/tex]
[tex]\\ \rm\Rrightarrow 7xy^2\sqrt[3]{2xy^2}[/tex]
Option C
1. Find the slope and y-intercept of the graph of the following equation.
y=-x+4
Answer:
Slope -1 , y intersept is (0,4)
Answer:
Y intercept=4 and the slope is -1/1 or -1
Step-by-step explanation:
The numeral by itself is the Y intercept and thw number next to the x would be the slope is there is no number its just one and if its a single number for ex 4x it would be 4/1 so your answer would be Y intercept=4 and the slope is -1/1 or -1
Solve the problem. Round the solution to the nearest hundredth where applicable. What is the tangent of ZH?
check photo for image and options
The line L passes through the points (0, –2) and (6, 1).
Find an equation of the line L.
Answer:
an equation of the line L will be: y = 1/2x - 2
Step-by-step explanation:
The slope-intercept form of the line equation
y = mx+b
where
m is the slopeb is the y-interceptGiven the points
(0, -2)(6, 1)Determining the slope between (0, -2) and (6, 1)
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(0,\:-2\right),\:\left(x_2,\:y_2\right)=\left(6,\:1\right)[/tex]
[tex]m=\frac{1-\left(-2\right)}{6-0}[/tex]
[tex]m=\frac{1}{2}[/tex]
The y-intercept can be determined by setting x = 0, and determining the corresponding value of y.
From the point (0, -2), we can determine that at x = 0, the value of y = -2.
Thus,
The y-intercept b = -2
now substituting b = -2 and m = 1/2 in the slope-intercept form of line equation
y = mx+b
y = 1/2x + -2
y = 1/2x - 2
Therefore, an equation of the line L will be: y = 1/2x - 2
An ice cream factory makes 210 quarts of ice cream in 2 hours. Calculate the unit rate of quarts per hour.
Answer:
105 quarts an hour
Step-by-step explanation:
divide 210 by 2
Times it by 6 and take away 10 and the result is 44
Answer:
(for your second question) 23.69
Step-by-step explanation:
10.8 as a fraction please answer
Answer:
1 2/8 or 10/8
Answer: 54/5
Step-by-step explanation:
7. Find the area of a rectangle if has a length the size of (x - 7) and a width the size of
(5x + 3).
Answer:
Area of a rectangle (A)= length(l) *Width(w)
l=(x-7)
w=(5x+3)
:. A= (x-7)(5x+3)
=5x(x-7)+3(x-7)
A=5x^2-35x+3x-21
A=5x^2 -32x -21
The area is in algebraic expression
Step-by-step explanation:
The plastic cylinder has a diameter of 2 cm. There is a rectangular 0.6 cm square prism through the middle of the cylinder, extending from the top to the bottom. The height of the cylinder is 6 cm. Find the volume of the cylinder without the prism.
Answer:
16.69 cm³
Step-by-step explanation:
In finding the volume of the cylinder without the prism you find the volume of the cylinder assuming it has no prism in it then minus the volume of the prism
Volume of the cylinder assuming there is no prism through it
V=πr²h where r is radius of the cylinder and h is height of the cylinder
Given that diameter = 2, then r= 1 cm and height, h = 6cm
V= π * 1 * 1 * 6
V= 18.85 cm³
Volume of the rectangular prism
V= l*w*h
V= 6*0.6*0.6
V= 2.16 cm³
The volume of the cylinder without the prism
18.85 cm³-2.16 cm³ = 16.69 cm³
Answer:
Not an answer
Step-by-step explanation:
h(n) = 3^n+3; Find h (3n)
Answer:
The option which you chose is absolutely right.
Step-by-step explanation:
h(n) = 3^ n + 3
h(3n) = 3 ^3n + 3
Hope it will help :)
?????????????????????????????
Answer:
73°
Step-by-step explanation:
Angles on a straight line add up to 180°
angle ABC= 180-146= 34°
Angles in a traingle add up to 180°
180-34= 146°
y= 146÷2= 73°
hope it helps! please mark me brainliest
thank you! have a good day ahead
if u follow me, I will follow u back
Answer:
Option D (73°)
Step-by-step explanation:
According to Exterior Angle Property , the measure of exterior angle is the sum of the opposite interior angles.
So, according to the question -
[tex]y + y = 146[/tex]
[tex] = > 2y = 146[/tex]
[tex] = > y = \frac{146}{2} = 73[/tex]
3x + 2z - 4y - 6 + 4z + 7y
x = 2, y = 1, z = -3
plz help me with this. this is a substitution question. plz show all steps to this question. Thank You!
Answer:
3x(2z+4z)+(−4y+7y)−6
Step-by-step explanation:
1 Collect like terms.
3x+(2z+4z)+(−4y+7y)−6
2 Simplify.
3x+(2z+4z)+(−4y+7y)−6
3x+6z+3y−6
Two employees Maggie and Rachel earn $18 per hour. Maggie receives 1.00 raise each 6 months and Rachel receives a 6% raise each year. Write an equation to represent Maggie pay over x years