The grassy area of a playground has a side length of x and a side of width of x + 3 what is the area of the playground?
A. A(x)=x^2+3x
B. A(x)=x^2+x+3
C. A(x)=2x+3
D. A(x)=x^2+3
Answers
Answer:
A
Step-by-step explanation:
We assume this playground is a rectangle. The area of a rectangle is of the form: A = lw, where l is the length and w is the width.
Here, the length is l = x and the width is w = x + 3. So, plug these in:
A = lw
A = x(x + 3)
Expand this out:
A = x² + 3x
The answer is thus A.
Answer:
A
Step-by-step explanation:
Area = length × width
Area = x × (x + 3)
A(x) = x²+ 3x
Related Questions
Find the quotient. 5 1/4 - 15
a. 7/20
b. 78 3/4
c. 2 6/7
d. 3 1/4
Answers
I believe the question you are asking is what 5 1/4 (otherwise known as 5.25) divided into 15 is.
Simply put, your question is 15 divided by 5.25 (or 5 1/4)
To solve this we can make the fraction 5 1/4 into an improper fraction. This makes the fraction to consist of a numerator and a denominator and no whole numbers. Converting 5 wholes into fourths would mean 5 times 4 which is 20. Therefore 5 converted into 1/4 ‘s is 20 1/4’s. This combined with the other 1/4 in the fraction 5 1/4 makes the improper fraction 21/4.
When you divide fractions you switch the numerator and denominator of the fraction on one side (usually the right side although it doesn’t matter as long as you only switch one fraction of the two) and multiply. 15 times now 4/21 is 60/21.
To simplify this you can divide the numerator and denominator by a common factor. We can start with 3, simplifying the fraction to 20/7. Now as you may notice in the answer choices they are all mixed numbers, consisting of a whole number as well as the numerator and denominator. 20/7 as a mixed number is 2 6/7 as you can have 2 times 7 (14) and then have 6 left so you have 2 wholes and 6/7 away from another whole. This makes C the answer
Hans is saving money to buy a game. So far he has saved $24, which is three-fourths of the total cost of the game. How much does the game cost?
Answers
Answer: The game costs $ 32 if $24 is three-fourths of total cost of the game. It is solved by making a mathematical equation containing fractions.
Step-by-step explanation:
Let's assume total cost of the game is $Y,
We know that three-fourths of Y is $24.
so we get the following mathematical equation
3/4 x Y= 24
Multiplying with 4/3 on both sides of the equation,we get
(4/3) x (3/4) x Y= 24 x (4/3)
since (4/3 x 3/4 =1), we get the equation
Y=24 x (4/3) =96/3 =32
Therefore, the cost of the game is $32
To learn more about fractions,
https://brainly.com/question/30340082
Answer: The total cost of the game is $32.
Step-by-step explanation:
Let's assume the total cost of the game is represented by the variable "x".
Given information says that, Hans has saved $24, which is three-fourths (3/4) of the total cost of the game. We can set up the following equation:
3/4 * x = $24
To find the value of "x," we can solve this equation:
3/4 * x = $24
To isolate "x," we can multiply both sides of the equation by the reciprocal of 3/4, which is 4/3:
x = ($24) * (4/3)
x = $32
Therefore, the total cost is $32.
For more information: fractions
https://brainly.com/question/30340082
PLEASE HELP!! THANK YOUUA
Answers
Answer:
13/8 in
Step-by-step explanation:
1) Since you know that there are 2 sticks with a length of 1/8 in, 3 sticks with a length of 2/8 in, and 1 stick with the length of 5/8 in, we need to add them together.
2) They have the same denominator, so we can add the fractions together easily. 1/8+1/8+2/8+2/8+2/8+5/8=13/8
How do i plot this and where do I plot it
Answers
A graph of the linear equation y + 4 = 1/4(x - 5) in point-slope form is shown in the image attached below.
What is the point-slope form?Mathematically, the point-slope form of a straight line can be calculated by using this mathematical expression:
y - y₁ = m(x - x₁)
Where:
m represents the slope.x and y are the points.From the information provided above, we can logically deduce that the given algebraic equation is written in point-slope form and as such, we would rewrite it in slope-intercept form by making y the subject of formula as follows;
y + 4 = 1/4(x - 5)
y = x/4 - 5/4 - 4
y = x/4 - 21/4
In this scenario, we would use an online graphing calculator to plot the linear equation in order to determine the solution as shown in the graph attached below.
Read more on equation here: brainly.com/question/19855458
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Can someone answer I don't understand?
Answers
A or top answer
Step-by-step explanation:
the minimum is the lowest point and that is 42 and maximum is highest point which is 56
The median is the line in the middle at 50
Q1 and a3 are the other lines located at 44 and 54
Hopes this helps please mark brainliest
Answer:
i i i i i i i i i i i i i i i i i i i i i i i i i i i i 56
HELPPP QUICK What is the slope of this line?
1/4
-1/4
-4
4
Answers
Explanation: Rise/Run; the amount of units up over the amount of units right.
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
The coordinate plane shows the positions of different places in a town. Each unit on the graph is equal to 1 block. Match the paths with their distances.
13 blocks
9 blocks
7 blocks
16 blocks
10 blocks
from school to the supermarket
from the park to the supermarket
to the baseball field
from home to the baseball field
from home to the park
to the supermarket
Answers
Answer:
a) 7 blocks
b) 16
c) 10
d) 13
....................
Answers
Answer:
?
Step-by-step explanation:
Margo is wrapping a box that is 7 inches long, 10 inches wide, and 4 inches high. How much wrapping paper will she need to cover the entire box?
Answers
She will need to cover six sides of the box. To calculate the surface area of the box, you'll need to add the area of each side. The formula for surface area is: 2lw + 2lh + 2wh. Plugging in the dimensions of the box, we get:
2(7 x 10) + 2(7 x 4) + 2(10 x 4) = 140 + 56 + 80 = 276
So, she will need 276 square inches of wrapping paper. But since she doesn't need to wrap the bottom of the box, we subtract one of the sides, which gives us a total of 268 square inches of wrapping paper.
To calculate the surface area of the box, you need to add the area of all six sides. The area of each side can be found by multiplying the length by the width.
- The area of the front and back sides is 7 x 4 = 28 square inches each.
- The area of the top and bottom sides is 10 x 4 = 40 square inches each.
- The area of the two side sides is 7 x 10 = 70 square inches each.
So, the total surface area of the box is 2(28) + 2(40) + 2(70) = 56 + 80 + 140 = 276 square inches.
Therefore, Margo will need at least 276 square inches of wrapping paper to cover the entire box.
Answer:280 in
Step-by-step explanation: First we multiply the length by the width and that would be 7 by 10 and we would get 70. Next we multiply the height by the total of (l x w), so 4 x 70 would be 280. Margo needs a total of 280 inches of wrapping paper to cover the entire box. Hope this helps! :)
please help me you have to put these in orrder
Answers
Answer:
\(9^{x}\) = 9 (With x as 1) \(3^{x}\) = 3 (With x as 1) \(x^{3}\) = 1 (With x as 1)Step-by-step explanation:
With x = 1, we can substitute the value 'x' as the exponent. Answers are below.
=> \(9^{x}\) = \(9^{1}\) = 9=> \(3^{x}\) = \(3^{1}\) = 3=> \(x^{3}\) = \(1^{3}\) = 1Second =3
Third= 1
PLEASE HURRY determine which consecutive integers do not have real zeros between them. 2x^3-6x^2+x+2 a. (-1,0) c. (1,2) b. (0,1) d. (2,3)
Answers
Answer:
c
Step-by-step explanation:
Answer:
\(\Large \boxed{\mathrm{\bold{C.} \ (1,2)}}\)
Step-by-step explanation:
\(2x^3-6x^2+x+2\)
Zeros are when y = 0 or where it touches the x-axis.
It crosses the x-axis at:
x ≈ -0.47
x ≈ 0.797
x ≈ 2.673
The consecutive integers (1, 2) do not have real zeros between them as shown in the graph below.
I'm not sure how you spell it, but it's the abbreviation for the Socials, the jet set, the West-side rich kids. It's like the term "greaser," which is used to class all us boys on the East Side.
Which sentence best states the theme of this excerpt?
Neighborhoods are usually divided by social classes.
Some people judge others based on appearances.
All teens experience similar events in life.
People are sometimes labeled by where they live.
Answers
Answer:
I think it may be B
Step-by-step explanation:
A formula is given as b = 4(m + 1)Make m the subject of the formula.
Answers
Answer:
m= (b/4) -1
Step-by-step explanation:
b = 4(m + 1)
b/4 = m+1
(b/4) -1 = m
Answer:
m= (b/4) - 1
Step-by-step explanation:
You have to do the inverse of operations so times would be divide and add would be subtract.
Earn points, answer both questions!
Answers
Answer:
Area of five squares = 1289.09 square units
Perimeter = 194.6 units
Step-by-step explanation:
Area of square and perimeter:
First find the length of each square, then find the area of each square.
To find the area of five squares, add all the area of each square.
Side of square1 = 27 units
\(\sf Side \ of \ square2 = \dfrac{2}{3}*27=2*9 = 18 \ units\\\\Side \ of\ square3= \dfrac{2}{3}*18=2*6=12 \ units\\\\Side \ of \ square4=\dfrac{2}{3}*12=2*4=8 \ units\\\\Side \ of \ square5=\dfrac{2}{3}*8=\dfrac{16}{3}=5.3 \ units\)
Area of square1 = 27*27 = 729 square units
Area of square2 = 18*18 = 324 square units
Area of square3 = 12*12 = 144 square units
Area of square4 = 8*8 = 64 square units
Area of square5 = 5.3*5.3 = 28.09 square units
Area of five squares = 729 + 324 + 144 + 64 +28.09
= 1289.09 square units
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Perimeter of the composite figure = (27 + 27+27+9) + (18+18+6) +(12+12+4) + (8+8+2.7)+ (5.3+5.3+5.3)
= 90 + 42 + 28 + 18.7 + 15.9
= 194.6 units
the perimeter is 194.6 units
..............................................
Answers
All you have to do is subtract the equations to get your solution.
1. -18 1/5 - (-2 3/5) = -15 3/5
2. 49.40 - (-85.63) = 135. 03
3. -52.89 - (-25.63) = -78.52
4. -96 2/9 - 24 4/9 = -120 2/3
Note - when there is follow by a subtraction sign and then parentheses such as the examples of 1,2, and 3 you distribute that subtraction sign over. Which will result in positive number.
So, like - (-85.63), distribute the subtraction sign which will result into a positive 85.63.
What was John's speed if he traveled 60 km in 30 minutes?
Answers
Step-by-step explanation:
they give you distance and time the formula should look like
s=d/t
s=60/30
s=2
that should be your answer
Even though we are all different in many ways, one thing that brings us together is ____________. emotion music art conversation
Answers
Answer:
Art
Step-by-step explanation:
just ask??
Sale! 25% OFF
of the original price!
The sale price of a T-shirt is $3. What was the original price?
Answers
Answer:
4 dollars
Step-by-step explanation:
If you're good at angles of elevation pls help meeee
Adam notices that the angle of elevation to the top of a building is 22 degrees. He walks 120m towards the building and the angle of elevation is now 28 degrees. How tall is the building?
Answers
Answer:
202m
Step-by-step explanation:
Please see attached picture for full solution.
Let x meters be the height of the building.
Answer the question below:
Answers
Based on the information, it can be inferred that the difference in the circumference of the two circles is 6.31 cm.
How to calculate the circumference of a circle?To calculate the circumference of a circle we must apply the following formula:
2\(\pi\)RR = Radius of the circle.According to the previous formula, we must replace R with the radius of each of the radii of both circles as shown below:
2\(\pi\)1 = 6.282\(\pi\)2 = 12.59So, to find the difference of the circumferences of both circles we must subtract the smaller number (circumference of the small circle) from the larger number (circumference of the large circle).
12.59 - 6.28 = 6.31According to the above, the difference of the circumferences would be 6.31 cm.
How to calculate the area of the circle?To calculate the area of the circle we must apply the following formula.
A =\(\pi r^{2}\)
r = radio del círculo.
According to the above, the radiO of both circles would be:
\(\pi 1^{2}\) = 3.14\(\pi 2^{2}\) = 25.13Additionally, to find the difference we must subtract these values:
25.13 - 3.14 = 21.99Learn more about circles in: https://brainly.com/question/29142813
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Based on the information, it can be inferred that the difference in the circumference of the two circles is 6.31 cm.
How to calculate the circumference of a circle?
To calculate the circumference of a circle we must apply the following formula:
2R
R = Radius of the circle.
According to the previous formula, we must replace R with the radius of each of the radii of both circles as shown below:
21 = 6.28
22 = 12.59
So, to find the difference between the circumferences of both circles we must subtract the smaller number (circumference of the small circle) from the larger number (circumference of the large circle).
12.59 - 6.28 = 6.31
According to the above, the difference in the circumferences would be 6.31 cm.
How to calculate the area of the circle?
To calculate the area of the circle we must apply the following formula.
A =
r = radio del círculo.
According to the above, the radiO of both circles would be:
= 3.14
= 25.13
Additionally, to find the difference we must subtract these values:
25.13 - 3.14 = 21.99
Last question on my test !
Answers
Answer:
-9x-50/10
Step-by-step explanation:
\(\boldsymbol{\sf{\left(-\dfrac{3}{5}x-7\right)-\left(-12+\dfrac{3}{10}x\right)}}\)
Remove unnecessary parentheses.
\(\boldsymbol{\sf{-\dfrac{3}{5}x-7-\left(-12+\dfrac{3}{10}x\right)}}\)
Calculate the multiplication expression.
\(\boldsymbol{\sf{-\dfrac{3x}{5}-7-\left(-12+\dfrac{3}{10}x\right) }}\)
We solve the equation in fraction form.
\(\boldsymbol{\sf{-\dfrac{3x}{5}-7-\dfrac{3x-120}{10}=\boxed{\boldsymbol{\sf{-\frac{9x-50}{20} }}} }}\bf{\iff}\boxed{\boxed{\bf{Answer }}}\)
The stem-and-leaf plot displays data collected on the size of 15 classes at two different schools.
Bay Side School Seaside School
8, 6, 5 0 5, 8
8, 6, 5, 4, 2, 0 1 0, 1, 2, 5, 6, 8
5, 3, 2, 0, 0 2 5, 5, 7, 7, 8
3 0, 6
2 4
Key: 2 | 1 | 0 means 12 for Bay Side and 10 for Seaside
Part A: Calculate the measures of center. Show all work. (2 points)
Part B: Calculate the measures of variability. Show all work. (1 point)
Part C: If you are interested in a smaller class size, which school is a better choice for you? Explain your reasoning. (1 point)
PLEASE HELP ASAP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Part A: To calculate the measures of center, we can find the median and the mean for each school.
For Bay Side School, the median class size is the average of the 8th and 9th values when the data is sorted in ascending order. The 8th and 9th values are both 25, so the median class size is 25.
To find the mean class size for Bay Side School, we can add up all the class sizes and divide by the total number of classes. The sum of the class sizes is 12 + 12 + 12 + 14 + 15 + 15 + 16 + 16 + 18 + 18 + 20 + 20 + 23 + 25 + 25 = 243. There are 15 classes, so the mean class size is 243/15 ≈ 16.2.
For Seaside School, the median class size is the average of the 8th and 9th values when the data is sorted in ascending order. The 8th and 9th values are both 15, so the median class size is 15.
To find the mean class size for Seaside School, we can add up all the class sizes and divide by the total number of classes. The sum of the class sizes is 10 + 10 + 10 + 11 + 12 + 15 + 15 + 16 + 17 + 17Part A (continued):
18 + 18 + 20 + 20 + 25 = 222. There are 14 classes, so the mean class size is 222/14 ≈ 15.9.
Therefore, the measures of center for Bay Side School are: median = 25, mean ≈ 16.2.
The measures of center for Seaside School are: median = 15, mean ≈ 15.9.
Part B: To calculate the measures of variability, we can find the range and the interquartile range (IQR) for each school.
For Bay Side School, the range is the difference between the largest and smallest class sizes. The largest class size is 25, and the smallest class size is 12, so the range is 25 - 12 = 13.
To find the IQR for Bay Side School, we need to find the first quartile (Q1) and the third quartile (Q3) of the data. From the stem-and-leaf plot, we can see that Q1 is 15 and Q3 is 20. Therefore, the IQR is 20 - 15 = 5.
For Seaside School, the range is the difference between the largest and smallest class sizes. The largest class size is 25, and the smallest class size is 10, so the range is 25 - 10 = 15.
To find the IQRPart B (continued): for Seaside School, we need to find the first quartile (Q1) and the third quartile (Q3) of the data. From the stem-and-leaf plot, we can see that Q1 is 12 and Q3 is 18. Therefore, the IQR is 18 - 12 = 6.
Therefore, the measures of variability for Bay Side School are: range = 13, IQR = 5.
The measures of variability for Seaside School are: range = 15, IQR = 6.
Part C: If you are interested in a smaller class size, Seaside School is a better choice because its measures of center are lower than those of Bay Side School, indicating that its class sizes tend to be smaller on average. Additionally, Seaside School has a smaller range and IQR, indicating less variability in class size. Therefore, there is less chance of encountering very large classes at Seaside School compared to Bay Side School.
Please answer ALL of the questions for me, a through i. The formula will be there. Explain how you got the first answer please
Answers
Answer:
Step-by-step explanation: 78-2 to the fourth power divided by parentheses 14-6, parentheses times two
Please solve QUICKLY
Answers
Answer:
C
Step-by-step explanation:
It isn't B because the point does not start at 600 and it is not A because it shows the entire decrease of the mass in one millennium. The correct answer is c.
Sue ran 7 miles more than Jill last week. Sue ran 11 miles. Which equation will tell you how many miles Jill ran?
Responses
A x − 7 = −11
B x − 7 = 11
C x + 7 = 11
D x + 7 = −11
Answers
Please Help me with this!
The measure of
Answers
SZX and RZY
ALGM RESOLVE URGENTE RAPIDOOOOOOOOOOO
Answers
Answer:
B I THINK
Step-by-step explanation:
Solve and explain each step
Answers
3marbles in total(1red ,1blue,1green)
If two are chosen:(possible chosen-Red and green or blue and green or blue and red)
So possible chosen with replacement with the options given =
Pr(Green and blue)+Pr(blue and green)
(1/3 x 1/3) + (1/3 x 1/3)
1/9 + 1/9
2/9
Without replacement
Pr(green and blue) + Pr(blue and green)
(1/3 x 1/2) + ( 1/3 x 1/2)
1/6 + 1/6
2/6
1/3
Without replacement = 1/3
3marbles in total (1red , 1blue, 1green)
If two are chosen: (possible chosen-Red and green or blue and green or blue and red)
So possible chosen with replacement with the options given =
Pr(Green and blue)+Pr (blue and green)
(1/3 × 1/3) + (1/3 × 1/3)
1/9 + 1/9
2/9
Without replacement
Pr(green and blue) + Pr(blue and green)
(1/3 × 1/2) + (1/3 × 1/2)
1/6 + 1/6
2/6
1/3
Without replacement = 1/3
A farmer has a house at the point (0, 0). He has a corn field that can be found by driving 1 unit up, 2 units right, 3 units down, and then 3 units right. If he instead walks diagonally to his corn field, how far has he gone? Round to 2 decimal places.
Answers
Answer:
right 6 units
Step-by-step explanation:
Answer:
5 units to the right and 1 unit down
6 units
(5, -1)
Determine whether the relation is a function.
{(-4, 1), (0, 0), (4, 0), (0, 4)}
Answers
Answer:
It isn't
Step-by-step explanation:
An x can't have to y's
way to remember: x=exes y=wives
you can have multiple exes (x's) but only one wife (y's)
0 has two y's