Express Using Algebra
What is the length of a rectangle whose perimeter is P, if the width is 6?
Answer:
(P-12)/2 = L
Step-by-step explanation:
1. Start off with an equation in terms of perimeter
P = (2)(6) + (2)(L)
2. Multiply the two and the six
P = 12+ (2)(L)
3. Move the terms around so only "L" is on one side
(P-12)/2 = L
hope this helped :)
Answer:
l = P/2 - 6
Step-by-step explanation:
The perimeter of a rectangle is 2*length + 2* width, or 2l + 2w.
So, the equation is P = 2l + 2*6. This simplifies to P = 2l + 12.
To isolate l, you subtract 12 from both sides, and divide both sides by 2.
This will look like [tex]l = \frac{P}{2} - 6[/tex].
PLZ HELP ME IM STRUGGLING
$15 dollars per adult
$9 per child
We have 4 adults and 5 children.
Adults: 15 x 4 = $60
Children: 9 x 5 = $45
$60 + $45 = $105
Answer: $105
Calculate the area of the irregular polygon shown below:
21 square inches
22 square inches
26 square inches
29 square inches
(Worth 10 points)
ASAP
Answer:
26 square inches
Step-by-step explanation:
To calculate the area of the polygon, find the area of 5*10 = 50. Now subtract the area of each rectangle cut out of the polygon. There are two rectangles of the same size measuring 3 by 4. They have an area of 3*4 = 12.
So 50 - 12 - 12 = 26
Answer:
26 square inches
Step-by-step explanation:
What is the sum of the polynomials?
(–x2 + 9) + (–3x2 – 11x + 4)
–4x2 – 2x + 4
–4x2 – 11x + 13
2x2 + 20x + 4
2x2 + 11x + 5
[tex] - {x}^{2} + 9 - 3 {x}^{2} - 11x + 4 \\ = - 4 {x}^{2} - 11x + 13[/tex]
2nd answer
Answer:
Option B. -4x² - 11x + 13
Step-by-step explanation:
Given polynomials are ( -x² + 9 ) and ( -3x² - 11x + 4 )
We have to add them.
( -x² + 9 ) + -3x² - 11x + 4 )
-x² + 9 - 3x² - 11x + 4
Now we will collect similar terms
( -x² - 3x² ) - 11x + ( 9 + 4 )
-4x² - 11x + 13
Therefore, option B is the answer.
I need help! please show work!
Answer:
calculate volume by l×b×h
The area of the surface of a sphere is described by the formula S=4(3.14)r^2. The earth has a radius of 3960 miles and dry land forms 29.2% of the earth’s surface. What is the area of the dry land on earth?
Answer: [tex]57,512,581.63miles^2[/tex]
Step-by-step explanation:
Substitute the value of the radius of the Earth into the formula given in the problem, where r is the radius, to obtain the surface area of the Earth:
[tex]S=4(3.14)r^2\\S=4(3.14)(3,960miles)^2\\S=196,960,896miles^2[/tex]
The problem says that the dry land forms 29.2% of the Earth’s surface, therefore, multiply the surface area by [tex]\frac{29.2}{100}=0.292[/tex]
Threfore, the area of dry land is the following:
[tex]S_{land}=(0.292)(196,960,896miles^2)=57,512,581.63miles^2[/tex]
Final answer:
To find the area of the dry land on Earth, first, calculate the Earth's total surface area with the formula S=4(3.14)r². Given a radius of 3960 miles, this results in about 197,920,640 square miles for the total surface. Multiplying this by 29.2% (or 0.292) gives approximately 57,780,666.88 square miles of dry land.
Explanation:
The question asks for the area of the dry land on Earth, given Earth's radius and the percentage of its surface that is dry land. To find this, first calculate the total surface area of the Earth using the formula S = 4(3.14)r², where r is the radius of the Earth (3960 miles). The formula accounts for the surface area of a sphere. After calculating the total surface area, we then calculate 29.2% of this area to find the dry land's surface area.
Step-by-Step Calculation:
Calculate the total surface area of the Earth: S = 4(3.14)(3960)²
Find the area of the dry land by multiplying the total surface area by 29.2% (or 0.292).
Using the steps above:
S = 4(3.14)(3960)² = 197,920,640 square miles (approx.) as the total surface area.
Area of dry land = 197,920,640 * 0.292 = 57,780,666.88 square miles (approx.).
WILL GIVE THE BRAINLEST
NEED HELP WITH #7 AND 8
Answer:
A closed, two-dimensional or flat figure is called a plane shape. Different plane shapes have different attributes, such as the numbers of sides or corners. A side is a straight line that makes part of the shape, and a corner is where two sides meet. for 7 took me ten years #8 circle has 1 curved side but no corners. – sphere, cube, cuboid, cylinder, cone, square based pyramid, triangular based pyramid.
Step-by-step explanation:
hope this help i also need help with this but i already did for home work please hope for brainlist nobody ever gives me...
Helppppp please. .........
Answer: 12 feet
Step-by-step explanation: look at the bottom length of the rectangle, it is 10 feet, the missing length of the rectangle should be 10 ft as well. we already know that two of the sides are 3 so we can do 3+3+x=10, x=4. the base of the triangle is 4. We can now use the formula for area of the triangle, 1/2 base*height so 1/2 *6*4= 12 feet, Hope this helps!
Find the population of beetles a week later by first finding 6% of 350 and adding it to the original population
Step-by-step explanation:
6 percent of 350 is 21. 21 plus 350 is 371, therefore the answer is 371.
Brainliest? :)
The population of beetles a week later is 371.
The calculation is as follows:= 6% of 350 + 350
= 21 + 350
= 371
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I saw a shirt for $97. I borrowed $50 from my mother and $50 from my father. I bought the shirt with $3 in change. I gave $1 to my mother, $1 to my father, and kept the extra $1 for myself. Now I owe $49 to my mother and $49 to my father. 49+49=98+my $1=99. Where did the other $1 go?
Answer:
Your other $1 went to yourself.
Answer:
Step-by-step explanation:
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
A cylinder has diameter 34 m and height 27 m. A label at bottom states drawing not to scale.
Find the volume of the cylinder. Use 3.14 for
π
.
please show your answer in steps
gordan is g years old.which expression show how old he would be in 12 years from now
Answer:
The expression would be g+12
Step-by-step explanation:
Technically you are adding his age right now, G, and 12 more years. So an expression that can show how old he will be in 12 years is G+12.
Can you please help me with this and thank you
Answer:
V = 90 Cubic Feet
Step-by-step explanation:
The volume of the Rectangular Prism is Given as
The product of the Area of Base and The height.
We are given that Area of Base = 18 sq ft
And the Height is 5 ft
Hence as per the formula we have discussed
Volume = 18 x 5
= 90
The volume = 90 Cubic ft
Info is on the picture
Answer: C
Step-by-step explanation:
1 ml = 0.001 l
1 l = 1000 kl
Answer:
Answer is C.
...and could you help me with my question please?
https://brainly.com/question/12407929
How to do whole number between
ANSWER:
2 and 1/4
Step-by-step explanation:
How many points determine a plane?
Answer:
Three points determine a plane
Step-by-step explanation:
Which ordered pairs are on the graph of exponential function?
Answer:
its (1,3)
Step-by-step explanation:
this is a bit of bad explaining but if you draw a graph you can find it, the verticle intercept is 0,2 if you wanted to know that. and also since the answers are there you could try them out so like 3=2+1, that works, and kinda like that
Write the expression: the quantity x minus 3 divided by y. A) x − 3 y Eliminate B) y x − 3 C) x − 3 y D) y x − 3
The correct expression that represents the quantity x minus 3 divided by y is: C) [tex]\( \frac{x - 3}{y} \)[/tex]
To solve the given mathematical problem, we need to translate the verbal expression into a mathematical one. The phrase the quantity x minus 3 indicates that we should subtract 3 from x, which gives us [tex]\( x - 3 \)[/tex]. Then, the word divided tells us that this quantity should be divided by y, which can be represented mathematically as [tex]\( \frac{x - 3}{y} \)[/tex].
Let's examine the options provided:
A) [tex]\( x -3y \)[/tex]
This option represents the expression x minus 3 times y, which is not the same as the quantity x minus 3 divided by y.
B) [tex]\( yx -3 \)[/tex]
This option represents the expression y times x minus 3, which is also not the same as the quantity x minus 3 divided by y.
C) [tex]\( \frac{x - 3}{y} \)[/tex]
This option correctly represents the quantity x minus 3 divided by y, which is what we are looking for.
D) [tex]\( yx - 3 \)[/tex]
This option is similar to option B and represents the expression y times x minus 3, which again is not the same as the quantity x minus 3 divided by y.
Therefore, the correct answer is option C, which correctly represents the division of the quantity x minus 3 by y.
The complete question is-
Write the expression: the quantity x minus 3 divided by y.
A) x - 3/y
B) y/x - 3
C) x - 3/y
D) y/x - 3
20 POINTS!!!
Rewrite each of the following durations using EIGHTH notes. Write in words and as a fraction:
1 quarter note
1 half note
Answer:
14 notes overall
Step-by-step explanation:
well 2 are in a quarter and there are four in a half note and there are 8 in a full
so
4 + 2 is 6
and 8+ 6 is 14
so 14 notes overall
Janessa wants to order these fractions: 4/9, 2/3, 1/6, -2 1/2. What should she use as her common denominator?
Answer:
18
Step-by-step explanation:
The given fractions are:
[tex]\frac{4}{9},\frac{2}{3} ,\frac{1}{6},-2\frac{1}{2}[/tex]
We can change the mixed number to a proper fraction to get;
[tex]\frac{4}{9},\frac{2}{3} ,\frac{1}{6},-\frac{5}{2}[/tex]
Janessa needs to find the least common multiple of the denominators.
The denominators are; [tex]9,3,6,2[/tex]
We can express each of the denominators as product of primes.
[tex]9=3^2[/tex]
[tex]3=3[/tex]
[tex]6=2\times3[/tex]
[tex]2=2[/tex]
The least common multiple of these numbers is the product of the highest powers common to all the numbers.
The LCD is [tex]2\times3^2=18[/tex]
Answer:
the answer is 18
Step-by-step explanation:
9 x 2= 18
3 x 6 = 18
6 x 3 = 18
2 x 9 = 18
You read a book for 40 minutes. Then you played 3 games on the computer. Each game took 10 minutes to play. Which steps can you use to find the total number of minutes you spent reading your book and playing games?
To find the total number of minutes spent reading and playing games, add the time spent reading and the time spent playing games.
Explanation:To find the total number of minutes spent reading the book and playing games, we can add the time spent reading and the time spent playing games. First, we spent 40 minutes reading the book. Then, we played 3 games, and each game took 10 minutes to play. So, the total time spent playing games is 3 games × 10 minutes/game = 30 minutes. Finally, we can add the time spent reading and the time spent playing games: 40 minutes + 30 minutes = 70 minutes.
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To find the total number of minutes spent reading the book and playing games, you can multiply the duration of reading by 1, multiply the number of games played by the duration of each game, and then add the products together. In this case, the total number of minutes would be 70.
Explanation:To find the total number of minutes spent reading the book and playing games, you can follow these steps:
Multiply the number of minutes spent reading (40) by 1.Multiply the number of games played (3) by the duration of each game (10 minutes).Add the products from step 1 and step 2 together to find the total number of minutes.In this case, the calculation would be: 40 minutes (reading) + (3 games × 10 minutes per game) = 40 + 30 = 70 minutes.
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The average snow base at Heavenly Ski Resort is 2 feet in the month of December. In the month of January, the average base is 3 feet. If the snow base increases at about the same rate through the month of March, which is the best estimate for the snow base in the month of March?
A. 2 ft
B. 3 ft.
C. 4 ft.
D. 5 ft.
Find the equation in factored form zeros=-2 and 2 with vertex (0,-4)
Answer:
[tex]\large\boxed{y=(x+2)(x-2)}[/tex]
Step-by-step explanation:
Factored form of quadratic equation:
[tex]y=a(x-x_1)(x-x_2)[/tex]
x₁, x₂ - zeros
We have zeros: x₁ = -2 and x₂ = 2. Substitute:
[tex]y=a(x-(-2))(x-2)=a(x+2)(x-2)[/tex]
We have the vertex (0, -4). Put the coordinates of the vertex to the equation:
[tex]-4=a(0+2)(0-2)[/tex]
[tex]-4=a(2)(-2)[/tex]
[tex]-4=-4a[/tex] divdie both sides by (-4)
[tex]1=a\to a=1[/tex]
Finally:
[tex]y=1(x+2)(x-2)=(x+2)(x-2)[/tex]
The equation in factored form given the zeros -2 and 2 with the vertex (0,-4) is f(x) = -(x + 2)(x - 2).
Explanation:To find the equation in factored form given the zeros = -2 and 2 with the vertex (0,-4), we start with the standard form of a quadratic function, which is f(x) = ax^2 + bx + c. Since the vertex is at the origin and the parabola opens upward (the coefficient of x^2 is positive), and the factor form of the quadratic equation is f(x) = a(x - p)(x - q), where p and q are the zeros of the function.
In this case, using the given zeros of -2 and 2, the factored form starts as f(x) = a(x + 2)(x - 2). To find the value of a, we use the vertex (0,-4). The vertex form of a quadratic function is f(x) = a(x - h)^2 + k, where the vertex is at the point (h,k). Comparing the vertex form with the vertex given, we get f(x) = a(x - 0)^2 - 4. Since when x = 0, f(x) = -4, we can see that a must be -1. Therefore, the factored form of the quadratic function is f(x) = -1(x + 2)(x - 2) or f(x) = -(x + 2)(x - 2).
I took a picture of 2 problems I need help with can someone help me please
1 is C not sure about 2
The price x of apples varies from 20 cents to 32 cents a pound. Write an inequality that represents this situation.
The inequality is 20¢ ≤ x ≤ 32¢
please help the answer i put idk if its correct (brianlest if correct)
Answer:
9,5
Step-by-step explanation:
It's it reflection on the opposite side, so you get (9,5) as they were also given to you.
Use the net below to determine the surface area of the cylinder.
The correct answer should be :
Option 3 : [tex]753.6cm^{2}[/tex]
Hope this helps,
Davinia.
What is the experimental probability that both coins land on the same side on Isidro’s next toss
Answer:
1/2, or 0.5
Step-by-step explanation:
There are 4 ways that 2 coins can fall...
Both heads (this satisfies our situation)
1st coin heads, 2nd coin tails
1st coin tails, 2nd coin heads
Both tails (this satisfies our situation)
We have 2 out of 4 ways to satisfy this situation, so our experimental probability is
P = 2/4 which reduces to
P = 1/2 , or 0.5 as a decimal
The experimental probability of both coins landing on the same side is 0.25 or 25%.
Each flip of a fair coin is independent, so the probability of both coins landing on the same side (heads or tails) =
0.5 × 0.5 = 0.25 or 25%.
The base of this regular right pyramid is a square what is its surface area? HELP FAST PLEASE!!
The surface area of a regular right pyramid with a square base can be found using the formula: Surface Area = Area of Base + (1/2 × Perimeter of Base × Slant Height). You will need to know the side length of the base and the slant height of the pyramid to calculate the surface area.
Explanation:A right pyramid with a square base has a surface area that can be calculated by finding the sum of the areas of all its faces. The surface area of a regular right pyramid can be determined using the formula:
Surface Area = Area of Base + (1/2 × Perimeter of Base × Slant Height)
Since the base of the pyramid is a square, the area of the base is given by:
Area of Base = Side Length × Side Length
To find the surface area, you will need to know the side length of the base and the slant height of the pyramid. Once you have these measurements, substitute them into the formula to calculate the surface area.
How to this problem
Answer: 16 square feet
Step-by-step explanation: In order to calculate how much total screen she needs you need to calculate each section.
The small ends are 2 ft x 1 ft, so you need 2 feet for each end, or 4 feet total.
The long sides are 3 ft x 2 ft, so you need 6 feet for each end, or 12 feet total.
The total screen needed for the sides is 4 + 12 = 16 square feet.
find 3 different possibile pairs of values for a and b
a=1, b =18
a=2, b = 9
a = 3 , b = 6
Hello! Essentially you are trying to find a linear function. For example, a linear function is a function that increases or decreases in some type of relationship between each pair consistently. To answer your question, one example could look like this...
Lastbenchstudent basically nailed the linear equation but I could elaborate from his work and answer your question in a different way.
A = 3, B = 18
A = 2, B = 9
A = 1, B = 4.5
To explain my answer, I basically divided B every time A decreased. As A decreased by 1, B decreased by half the amount!