The width of the rectangle is 9m and the length is 18m. The perimeter of the rectangle is 54m.
Explanation:Let's assume the width of the rectangle as 'w'. According to the given information, the length would be twice the width, so the length can be represented as '2w'.
The formula for the area of a rectangle is length multiplied by width, which can be written as 'A = lw', where 'A' is the area. By substituting the given area value of 162m2, the equation becomes '162 = 2w * w'.
Solving this equation, we get 'w = 9m' which represents the width. The length can be found by doubling the width, so the length is '2 * 9m = 18m'.
The perimeter of a rectangle can be calculated using the formula 'P = 2(l + w)', where 'P' is the perimeter, 'l' is the length, and 'w' is the width. Plugging in the values, the perimeter of the rectangle is 'P = 2(18m + 9m) = 54m'.
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Need help please !
Thanks !
12x > 9(2x-3) -15
solve the inequality for x. show each step of the solution.
.help me please thanks
Polynomial Factorization Help!
Can 2x^2-3x-5 = 0 be factorized? I solved it with the Quadratic Formula but I can't find two numbers that multiply to -5 but add to -3
Simply the product -7x/5y * 5x/-7
A gumball machine has just been filled with 50 black, 150 white, 100 red, and 100 yellow gumballs that have been thoroughly mixed. sue and jim each purchase one gumball. what is the likelihood that both sue and jim will get red gumballs?
Final answer:
To calculate the likelihood of both Sue and Jim getting red gumballs, we multiply the probability of each event occurring sequentially. After Sue gets a red gumball, the chances are 1/4, and then 99/399 for Jim. The final probability of both getting red gumballs is 99/1596 or about 6.203%.
Explanation:
The likelihood that both Sue and Jim will get red gumballs from the gumball machine can be calculated using basic probability principles. First, we need to determine the total number of gumballs in the machine. This is the sum of black, white, red, and yellow gumballs, which are 50, 150, 100, and 100 respectively, making a total of 400 gumballs.
The probability that Sue gets a red gumball is the number of red gumballs divided by the total number of gumballs in the machine, which is 100/400, simplifying to 1/4. When Sue takes a gumball, assuming she gets a red one, there are now 399 gumballs left with 99 being red. Therefore, the probability that Jim also gets a red gumball is 99/399. To find the likelihood of both events occurring, we multiply these probabilities:
P(Both Sue and Jim get red gumballs) = P(Sue gets a red gumball) × P(Jim gets a red gumball after Sue) = (1/4) × (99/399).
Now we simplify and multiply these fractions to get the final probability. After simplifying, the final probability is 99/1596, which is approximately 0.06203 or 6.203% chance that both Sue and Jim will get red gumballs.
The answer to this question
a museum has a wax sculpture of a historical village. The scale is 1.5 : 8. If the height of a hut in the sculpture is 5 feet how tall is the original hut to the nearest whole foot?
Answer:
Step-by-step explanation:
You ride your bike to school. As you approach an intersection, you decrease your speed by 1.5 miles per hour per second. Select an inequality that represents the time tt (in seconds) until your speed decreases by more than 10.5 miles per hour. Then solve the inequality.
Answer:
The time elapsed is greater than 7 seconds
Step-by-step explanation:
From definition
acceleration = change in speed/time elapsed
or:
a = Δv/t
Rearranging:
a*t = Δv
If your speed decreases by more than 10.5 miles per hour, then:
Δv > 10.5
Replacing with the previous equation and solving for t:
a*t > 10.5
t > 10.5/1.5
t > 7 s
Complete the equations to prove that vertical angles always have equal measure. In terms of b and a numberin degrees, \purple c=c=start color purple, c, end color purple, equals In terms of b and a numberin degrees, \pink a=a=start color pink, a, end color pink, equals Combining these equations to get a in terms of c, \pink a=a=start color pink, a, end color pink, equals
180-b
180-b
c
Step-by-step explanation:
The directions say...Use dimensional analysis to convert the measurements.
The question is...Convert 950 US dollars to British pound sterling. Use 1 US dollar = 0.62 British pound sterling.
the sum of two numbers is 200 and the two numbers are in a ratio of 4:6 find the larger number
What is the measure of <JHG?
The measure of <JHG is _____ degrees
The measure of ∠JHG is 70 degree.
What is an Angle?An angle is formed by two rays called the arms of the angle meeting at a common endpoint called the vertex of the angle.
There are three types of angles, acute angle, right angle and obtuse angle.
Protractor is used to measure angles, it is of semicircular shape with degrees of angles engraved upon it.
Acute Angle : The angle whose measure is less than 90 degree is called the acute angle.
Right Angle : The angle whose measure is equal to 90 degree is called right angle.
Obtuse Angle: The angle whose measure is greater than 90 degree is called obtuse angle.
The ∠JHG has JH and HG are the arms of the angle.
The measure of ∠JHG = 70 degree, it is less than 90 degree, it is an acute angled triangle.
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Evaluate. (14)−2−(50⋅2)⋅1−1
branliest offered i need help please
evalute the numerical expression
{[(3x4)+18]+[(6x7)-27]}divided by 5
How do you write a piecewise function
To write a piecewise function, you need to define different equations for different intervals of the independent variable.
Explanation:To write a piecewise function, you need to define different equations for different intervals of the independent variable. Each equation represents a different part or piece of the function. Here's an example:
f(x) =
2x + 1, if x ≤ 0x^2, if 0 < x ≤ 54 - x, if x > 5In this function, the equation 2x + 1 is used for values of x that are less than or equal to 0, the equation x^2 is used for values of x between 0 and 5 (inclusive), and the equation 4 - x is used for values of x greater than 5.
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Jim and Sarah are running for class president. Cayla and Daniel are running for Vice President. What combinations of president and Vice President could there be?
A balloon is released on top of a building. The graph shows the height of the balloon over time. What does the slope and y-intercept reveal about the situation?
Answer:
C. The balloon starts at a height of 500 ft and rises at a rate of 150 ft.
Step-by-step explanation:
We have been given a graph which represents the height of the balloon over time.
We can see from our graph that y-intercept, which represents the height of the balloon (in thousand feet) at time equals zero, is 0.5. To find the correct y-intercept we will multiply 0.5 by 1000 as height of the balloon is given in thousand feet.
[tex]\text{y-intercept}=(0.5\times 1000)\text{ feet}=500\text{ feet}[/tex]
Therefore, y-intercept represents that the balloon starts at a height of 500 feet.
Now let us find slope of our given line using slope formula.
[tex]\text{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]y_2-y_1[/tex] is vertical change or rise.
[tex]x_2-x_1[/tex] is horizontal change or run.
Upon substituting given values in above formula we will get,
[tex]\text{Slope}=\frac{3.5-0.5}{20-0}[/tex]
[tex]\text{Slope}=\frac{3}{20}[/tex]
[tex]\text{Slope}=0.15[/tex]
Now let us multiply 0.15 by 1000 as height of balloon is given in thousand feet.
[tex]\text{Slope}=0.15\times 1000=150[/tex]
Therefore, slope of our line is 150 which means that height of balloon is increasing 150 feet per second or balloon is rising at a rate of 150 feet per second.
Upon looking at our given options we can see that option C is the correct choice.
A trout swims 1 2/3 miles in 25 minutes. How far can it's swim in one hour
60minutes per hour
25/60 = 5/12
1 2/3 / 5/12 =
5/3 / 5/12 =
5/3 * 12/5 = 60/15 = 4 miles
A bag contains eight green marbles and four blue marbles. what is the probability of drawing a green marble on the second draw?
A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 5 large boxes and 3 small boxes has a total weight of 110 kilograms. A delivery of 2 large boxes and 6 small boxes has a total weight of 74 kilograms. How much does each type of box weigh?
A jet travels 500 miles in 2 hours. At this rate, how far could the jet fly in 8 hours? What is the rate of speed of the jet?
500 / 2 = 250 miles per hour ( rate of speed)
250 * 8 = 2,000 miles in 8 hours
andre placed 7/8 gallon of water in a pot near his wood burning stove 1/5 gallon of water evaporates each hour how many hours would it take for the entire pot of water to evaporate
Math Plzz HELP ASAP!!!!!!
(−213+515)+113
The solution of (−213+515)+113 is 415
Add -213 and 515:
-213 + 515
= 302
Add 113 to the result:
302 + 113
= 415
So, the final answer is 415.
Question:
Solve: (−213+515)+113
A student has two test scores. the difference between the scores is 44 and the mean, or average, of the scores is 8484. what are the two test scores?
Perform the indicated operation. 13/16 – 3/8
7/16
5/8
1 3/16
13/16 - 3/8
convert 3/8 to 16ths
3/8 = 6/16
13/16 - 6/16 =
13/6 =7
7/16 is the answer
Answer:
The correct option is 1.
Step-by-step explanation:
The given expression is
[tex]\frac{13}{16}-\frac{3}{8}[/tex]
We need to perform the indicated operation.
Make denominator common.
[tex]\frac{13}{16}-\frac{3\times 2}{8\times 2}[/tex]
[tex]\frac{13}{16}-\frac{6}{16}[/tex]
It can be written as
[tex]\frac{13-6}{16}[/tex]
[tex]\frac{7}{16}[/tex]
The value of given expression is [tex]\frac{7}{16}[/tex].
Therefore the correct option is 1.
If EF =9x+17 , FG = 35 , and EG=196 , find the value of x
The required simplified value fo x is 16 in the expression of the line segment.
Given that,
If EF =9x+17 , FG = 35 , and EG=196 , find the value of x is to be determined.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here
EG = 196
EF + FG = 196
9x + 17 + 35 = 196
9x + 52 = 196
9x = 196 - 52
9x = 144
x = 144/ 9
x = 16
Thus, the required simplified value fo x is 16 in the expression of the line segment.
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A single little brown bat can eat up to 1,000 mosquitoes in a single hour. Express in scientific notation how many mosquitoes a little brown bat might eat in 10.5 hours.
The equation of line q is 5y - 4x = 10. Write the standard form of the equation of the line that fits the following description: parallel to q and passes through the point at (-15, 8)
Answer:
y = [tex](\frac{4}{5})[/tex]x + 20
Step-by-step explanation:
The equation of line q is 5y - 4x = 10
5y = 4x + 10
y = [tex]\frac{4}{5}x+2[/tex]
If a line is parallel to this line the slope of the line will be the same as the given line = [tex](\frac{4}{5})[/tex]
Let the parallel line is y = mx + c
where m = slope
and c = y-intercept
equation will be y = [tex]\frac{4}{5}x+c[/tex]
This line passes through (-15, 8)
so 8 = (-15) [tex](\frac{4}{5})[/tex] + c
8 = -12 + c
c = 12 + 8
c = 20
Now the equation of the parallel line will be y = [tex](\frac{4}{5})[/tex]x + 20
mrs perry shares out 30 biscuits between gemma and zak in the ration 1:4 how many biscuits does each child get
Gemma gets 6 biscuits, and Zak gets 24 biscuits when Mrs. Perry shares out 30 biscuits between them in the ratio 1:4.
To solve this problem, we need to divide the 30 biscuits according to the ratio 1:4 between Gemma and Zak.
Calculate the total parts in the ratio.
Total parts = 1 (from Gemma) + 4 (from Zak) = 5 parts
Find out how many parts each child gets.
For Gemma:
Gemma's share = (1 part ÷ 5 parts) × 30 biscuits
= (1/5) × 30
= 6 biscuits
For Zak:
Zak's share = (4 parts ÷ 5 parts) × 30 biscuits
= (4/5) × 30
= 24 biscuits
Verify the result.
Gemma gets 6 biscuits, and Zak gets 24 biscuits.
6 + 24 = 30 biscuits (which is the total), so the division is correct.
Thus, Gemma gets 6 biscuits, and Zak gets 24 biscuits when Mrs. Perry shares out 30 biscuits between them in the ratio 1:4.