To find the length and width, we use the provided information and the formulas for area and length. After determining the width is 7 feet, we find the length is 42 feet. Using these dimensions, the rectangle's perimeter is 98 feet.
Explanation:Given the length of the rectangle is six times its width, we can denote this as L = 6W. The area of a rectangle is given by the formula Area = Length x Width or A = LW. Substituting L = 6W into our area formula gives A = 6W^2. We're given that the area is 294 square feet, so we set our formula equal to this: 6W^2 = 294. Solving this gives W = 7 ft.
Now, we substitute W = 7 ft back into our length formula, L = 6W, giving L = 42 ft. The perimeter of a rectangle is given by the formula Perimeter = 2(Length + Width) or P = 2(L + W), therefore P = 2(42 ft + 7 ft) = 98 ft.
Learn more about Perimeter of Rectangle here:https://brainly.com/question/35146970
#SPJ3
Select the possible dimensions of a rectangular prism with volume of 72 cubic meters . HInt: V = B x h (Area of base times the height) points A. 2 m x 6 m x 7 m B.3 m x 4 m x 6 m C.3 m x 8 m x 4 m D.9 m x 8 m x 1 m E.12 m x 2 m x 3 m (more than one posible answer)
Final answer:
The possible dimensions for a rectangular prism with a volume of 72 cubic meters are options B (3 m x 4 m x 6 m), D (9 m x 8 m x 1 m), and E (12 m x 2 m x 3 m), as their product of dimensions equals 72 cubic meters.
Explanation:
The question presents a schoolwork problem related to finding the possible dimensions of a rectangular prism with a given volume. According to the formula for volume, V = B x h, where V stands for volume, B is the area of the base, and h is the height. For a prism to have a volume of 72 cubic meters, the product of its dimensions (length x width x height) must equal 72.
For option A (2 m x 6 m x 7 m), the volume is 2 x 6 x 7 = 84 cubic meters, which is not equal to 72.
For option B (3 m x 4 m x 6 m), the volume is 3 x 4 x 6 = 72 cubic meters, which is correct.
For option C (3 m x 8 m x 4 m), the volume is 3 x 8 x 4 = 96 cubic meters, which is not equal to 72.
For option D (9 m x 8 m x 1 m), the volume is 9 x 8 x 1 = 72 cubic meters, which is also correct.
For option E (12 m x 2 m x 3 m), the volume is 12 x 2 x 3 = 72 cubic meters, which is another correct possibility.
Therefore, the possible dimensions for the rectangular prism with a volume of 72 cubic meters are represented by options B, D, and E.
The ratio of petunias to geraniums in the greenhouse was 15 to 2. The combined numbernof petunias and geraniums was 1020.
ILL GIVE YOU BRAINLIEST!! How many geraniums were in the greenhouse?
A. 30
B. 510
C. 68
D. 2040
E. 120
Answer:
E. 120
Step-by-step explanation:
Let's say the number of total flowers is (15+2)x
That means the number of geraniums is 2x.
That also means that 1020 = 17x, which makes x = 60
Because 2x = geraniums and x = 60, the number of geraniums is 120
Grayson baked 24 sugar cookies. His family ate 1/3 of the cookies. How many cookies did they eat? How many cookies are left
Answer:
His family ate 8 cookies, 16 cookies left
Step-by-step explanation:
Multiply 24 by 1/3 to find what the family ate
24*1/3=8
So, his family ate 8 cookies
To find how many are left, subtract what the family ate from the total
24-8=16
So, 16 cookies are left
Hope this helps! :)
Vera ordered a soup, salad, and sandwich to share with her friends. The probabilities of each item being ready first are as follows:P(Soup ready first)=
5
1
start text, P, left parenthesis, S, o, u, p, space, r, e, a, d, y, space, f, i, r, s, t, end text, right parenthesis, equals, start fraction, 1, divided by, 5, end fraction
P(Salad ready first)=0.45\text{P(Salad ready first}) = 0.45
P(Salad ready first)=0.45
start text, P, left parenthesis, S, a, l, a, d, space, r, e, a, d, y, space, f, i, r, s, t, end text, right parenthesis, equals, 0, point, 45
P(Sandwich ready first)=35%\text{P(Sandwich ready first}) = 35\%
P(Sandwich ready first)=35%
start text, P, left parenthesis, S, a, n, d, w, i, c, h, space, r, e, a, d, y, space, f, i, r, s, t, end text, right parenthesis, equals, 35, percent
Put the following events in order from least to most likely.
Salad ready first\text{Salad ready first
its
Soup ready first
Sandwich ready first
Salad ready first
Answer:
Soup ready first
Sandwich ready first
Salad ready first
Step-by-step explanation:
Joey has football practice every 3rd day and baseball practice every 7th day
Answer:
The 21st day
Step-by-step explanation:
If we mark the days, they will clash on the 21st day.
[tex]3*7=21[/tex]
Hope this helped. Have a nice day! Please mark brainliest!
Answer:
if i think u are talking about when these will over lap then they will over lap on the 21st day
Step-by-step explanation:
Note: if one letter is incorrect in a term, that part of the puzzle will be graded as a missed answer.
- Across
2) A two-word phrase in a word problem that is a key word for subtraction.
4) A word used to show multiplication in a word problem.
7) A word that means something has been added.
8) A phrase in a word problem that tells you to subtract.
9) This is characterized by the symbol <, and is always read from left to right.
10) A word or phrase used to show division in a word problem.
- Down
1) A verbal phrase in a word problem that is a key word for subtraction.
3) A two-word phrase in a word problem that means to add.
5) A mathematical term that does not include an equal or inequality sign is called an _ _ _ _ _ _ _ _ _ _.
6) A verbal phrase in a word problem that means to add.
Submit
how to compare box plots.
Box plots, or box-and-whisker plots, show data distribution through five main points: minimum, Q1, median, Q3, and maximum. A wider box indicates greater variability within the middle 50% of the data. To compare box plots, assess the spreads, medians, and potential outliers.
Explanation:A box plot, also known as a box-and-whisker plot, is a graphical representation of a data set that shows the distribution through five main data points: minimum value, first quartile (Q1), median, third quartile (Q3), and maximum value.
To construct a box plot, you typically start with a number line that has been properly scaled. Using a ruler for this purpose ensures accuracy.
The box in a box plot represents the middle 50 percent of the data, spanning from Q1 to Q3.
The 'whiskers' of the plot stretch from the box to the minimum and maximum values, indicating the entire range of the dataset.
Comparing the spread of the middle 50 percent of the data involves looking at the width of the box: a wider box suggests a greater spread, meaning the data is more varied within the interquartile range (IQR).
If you are using a graphing calculator, you can enter the data into a list and then select the box plot function to graphically display the data.
When comparing two or more box plots, look for differences in their central values (medians), spreads (IQRs), and potential outliers (which lie beyond 1.5 times the IQR from the quartiles).
3 packets of French fries, 2 cheeseburgers, and one drink cost $10.95. 1 packet of French fries, 2 cheeseburgers, and 3 drinks cost $11.25. Find the price of 1 packet of French fries, 1 cheeseburger, and one drink?
Answer:
The price of 1 packet of French fries, 1 cheeseburger, and one drink cost $5.55
Step-by-step explanation:
Let
x ----> the price of 1 packet of French fries
y ---> the price of 1 cheeseburger
z ---> the price of one drink
we know that
[tex]3x+2y+z=10.95[/tex] ----> equation A
[tex]x+2y+3z=11.25[/tex] ---> equation B
Adds equation A and equation B
[tex]3x+2y+z=10.95\\x+2y+3z=11.25\\------------\\3x+x+2y+2y+z+3z=10.95+11.25\\4x+4y+4z=22.2[/tex]
Divide both sides of the equation by 4
[tex]x+y+z=5.55[/tex] ----> equation C
The equation C means ----> The price of 1 packet of French fries, 1 cheeseburger, and one drink cost $5.55
An international cake competition attracted 50 bakers from around the world. The graph below shows the relationship between the amount of sugar in the cakes (in grams per 100 grams of cake) and the scores the cakes received.
What is the best description of this relationship?
Choose 1 answer:
A
Positive linear association
B
Negative linear association
C
Nonlinear association
D
No association
Positive linear association shows the relationship between the amount of sugar in the cakes (in grams per 100 grams of cake) and the scores the cakes received.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
Given,
An international cake competition attracted 50 bakers from around the world.
We have to tell relationship between the amount of sugar in the cakes (in grams per 100 grams of cake) and the scores the cakes received.
Scores were highest for cakes that had between 15 and 25 grams of sugar per 100 grams of cake.
Positive linear association shows the relationship between the amount of sugar in the cakes (in grams per 100 grams of cake) and the scores the cakes received.
Hence Positive linear association shows the relationship between the amount of sugar in the cakes (in grams per 100 grams of cake) and the scores the cakes received.
To learn more on Graph click:
https://brainly.com/question/17267403
#SPJ3
Suppose a fair 6-sided die is tossed five times. What is the probability that we see at least one three in the five tosses?
a. 0.5981
b.0.8300
C. 0.1667
d. 0.4019
Answer:
C. 0.1667
Step-by-step explanation:
1/6 +0/6 + -1/6
The closest answer is C. 0.1667
Based on 2nd throw of dice shows zero then 0.1667 of the answer is shown on the 3rd throw in decimal form of -1/6
A packing box has the dimensions 3 by 2 by 51
2 feet. What is the volume of the box?
( A rectangular prism with a length of 3 feet, width of 2 feet, and height of 5 and one-half feet. )
Use the formula V = Bh to calculate the volume of the packing box.
The area of the base of the box, B, is __ ft.2.
The volume of the box is __ ft.3.
Answer:the area of the base of the box, B, is 6 ft2
The volume of the box is 33ft3
Step-by-step explanation:
Formula to find area of the base is bh (bass x height)
Formula for volume is (base x length)
The required volume of the packing box is 33 ft^3 and area of the base B is 6 ft^2
Area of the Rectangular Prism:
The area of the rectangular prism having a length and b width with h height is
Volume = a b h
If we are interested t find area of the base then
B = a b
How to calculate volume of rectangular prism?here we have given that
a = 3 feet
b = 2 feet
h = [tex]5\frac{1}{2}[/tex] = 11/2 feet
Therefore the area of the base B = a b = 3 x 2 = 6 ft^2
Now the volume of the object is
V = B h
V = 6 x 11/2 = 33 ft^3
This is the required volume of the rectangular prism
Learn more about rectangular prism here-
https://brainly.com/question/9261981
$SPJ2
A teacher needs to find out how many seventh-grade students will be going on a field trip. Which best describes the population that the teacher should survey?
A) the parents of all the students in the school
B) the parents of the seventh-grade students
C) each teacher in the school
D) each student in the school
Answer:
B
Step-by-step explanation:
The parents of the seventh-grade students, best describe the population that the teacher should survey. Option B is correct.
What is a survey?A survey in human subjects research is a set of questions designed to elicit specific information from a specific group of people.
As mentioned in the question, the teacher needs to find out how many seventh-grade students will be going on a field trip. For this teacher must ask to the students of seventh grade as well as survey the parents of the seventh-grade students.
Thus, the parents of the seventh-grade students, best describe the population that the teacher should survey. Option B is correct.
Learn more about the survey here:
https://brainly.com/question/17373064
#SPJ6
What is the answer??
there are 32 students in your freshman spanish class. Your teacher randomly chooses one student at a time to take a verbal exam. what is the probability that you are not one of the first 4 students chosen
Answer:
25% chance
Step-by-step explanation:
32/4=8
8 out of 32 is a 25% chance
What is 5(x+20) = 7x+30?
Answer: 35
Step-by-step explanation:
Simplifying
5(x + 20) = 7x + 30
Reorder the terms:
5(20 + x) = 7x + 30
(20 * 5 + x * 5) = 7x + 30
(100 + 5x) = 7x + 30
Reorder the terms:
100 + 5x = 30 + 7x
Solving
100 + 5x = 30 + 7x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-7x' to each side of the equation.
100 + 5x + -7x = 30 + 7x + -7x
Combine like terms: 5x + -7x = -2x
100 + -2x = 30 + 7x + -7x
Combine like terms: 7x + -7x = 0
100 + -2x = 30 + 0
100 + -2x = 30
Add '-100' to each side of the equation.
100 + -100 + -2x = 30 + -100
Combine like terms: 100 + -100 = 0
0 + -2x = 30 + -100
-2x = 30 + -100
Combine like terms: 30 + -100 = -70
-2x = -70
Divide each side by '-2'.
x = 35
Simplifying
x = 35
Answer:
[tex]x=35[/tex]
Step-by-step explanation:
Step 1: Distribute
[tex]5(x + 20) = 7x + 30[/tex]
[tex](5 * x) + (5 * 20) = 7x + 30[/tex]
[tex]5x + 100 = 7x + 30[/tex]
Step 2: Subtract 5x from both sides
[tex]5x + 100 - 5x = 7x + 30 - 5x[/tex]
[tex]100 = 2x + 30[/tex]
Step 3: Subtract 30 from both sides
[tex]100 - 30 = 2x + 30 - 30[/tex]
[tex]70 = 2x[/tex]
Step 4: Divide both sides by 2
[tex]70 / 2 = 2x / 2[/tex]
[tex]35 = x[/tex]
Answer: [tex]x = 35[/tex]
in half an hour josh ran 3/4 a mile. how many miles would Josh run in 1 hour?
Answer:
1 1/2
Step-by-step explanation:
Btw you have gacha??? me too
Theo bought 8 packs of pencils for $4 each and 3 packs of
erasers that were on sale for $2 off their regular price of $5
each. Which keys could be entered into the calculator to
determine the total amount he spent?
O C8*4+385
C8*4+3*3
C8*4+3-2*
C8*4+3* 2-
Answer:
8*4+3*3
Step-by-step explanation:
It can't be the last answer because he buys three packs of erasers for three dollars each. It can't be the third answer because you have to multiply to get the price. It can't be the first answer because it's three of the numbers given put together. So it has to be 8*4+3*3
Final answer:
The total amount Theo spent can be calculated on a calculator with the input: 8 × 4 + 3 × 3, which represents the cost of pencils plus the discounted cost of erasers.
Explanation:
To determine the total amount Theo spent, you need to calculate both the cost of the pencils and the cost of the erasers, taking into account the sale on erasers.
For pencils, Theo bought 8 packs at $4 each. For erasers, he bought 3 packs at a $2 discount from their regular price of $5 each, meaning each pack of erasers cost $5 - $2 = $3 per pack on sale.
The correct calculation on the calculator for the total amount spent would be the cost of pencils plus the cost of erasers: 8 packs × $4 per pack for pencils, plus 3 packs × $3 per pack for erasers on sale.
This can be entered into the calculator as 8 × 4 + 3 × 3.
Area of rectangle with a length of 3 2/3m and a height of 1 1/4m.
Answer:
4.5834m^2
Step-by-step explanation:
You do (length)*(width) which is (3 3/2m)*(1 1/4m) = 4.5834m^2 This is rounded because it was 4.5833333333 repeating.
Answer: the answer is 4 7/12m
Step-by-step explanation: Multiply both 3 2/3 and 1 1/4 to get 4 7/12. i know it isn't an explanation.
A pound of chocolate costs 6 dollars. Diane buys P pounds. Write an equation to represent the total cost c that Diane pays.
Answer:
[tex]C=6P[/tex]
Step-by-step explanation:
Because the cost (c) depends on the pounds (p), we have to multiple the weight by 6, because it is $6 per pound.
Answer:
Step-by-step explanation:
prob c
The value of the digit 5 in 24,513 is how many times the value of the 5 in 357?
help me;( i dont understand
Given:
Line l and line m are parallel.
Co-interior angles are (12x - 8)° and 104°.
To find:
The value of x.
Solution:
Sum of co-interior angles = 180°
12x° - 8° + 104° = 180°
12x° + 96° = 180°
Subtract 96° from both sides.
12x° + 96° - 96° = 180° - 96°
12x° = 184°
Divide by 12° on both sides.
x° = 7°
x = 7
The value of x is 7.
There are 4 jacks and 13 clubs in a standard, 52-card deck of playing cards. What is the probability that a card picked at random from a standard deck of playing cards is a club or a jack?
Answer:
16/52, or 4/13.
Step-by-step explanation:
First, since we know that the question is asking for the probability of a club or a jack, we know that we have to add the two probabilities. The first probability is that of picking a club, which is 13/52. The probability of picking a jack (be sure not to overlap; don't double count the jack of clubs) is 3/52. Adding these two gives us 13/52+3/52=16/52, which simplifies to 4/13.
-x+6is the same as -(x-6) how do I know? Pls help
what is the mean? 0.8, 1, 2.7, 2.8, 3.1, 13.3
Answer:
3.95
Step-by-step explanation:
the mean is
all numbers added up divided by how many numbers
.8+1+2.7+2.8+3.1+13.3=23.7
there are 6 numbers
23.7/6=
3.95
Answer: 3.95
Step-by-step explanation:
Got to add all them up 0.8+1+2.7+2.8+3.1+13.3=23.7 then divide that by 6 cuz that's how many numbers there are then it gives you 3.95
Lauren mowed 3 lawns in 15 hours. What was her rate of mowing in hours per lawn?Lauren mowed 3 lawns in 15 hours. What was her rate of mowing in hours per lawn?
Answer:
5 hours per lawn
Step-by-step explanation:
15 hours divided by 3 lawns brings you to 5 hours per lawn.
The rate at which Lauren mows lawns is 5 hours per lawn, which means on average, it takes her 5 hours to mow one lawn.
Explanation:The question is asking us to find out how long, on average, it takes Lauren to mow one lawn given that she can mow 3 lawns in 15 hours. This is a classic problem of rate, specifically a rate of work. The formula we use for rate is simply: Rate = Total Work / Total Time. Here, the total work would be the 3 lawns that she mowed, and the total time would be the 15 hours. So, we divide 15 (total hours) by 3 (total lawns) to get the rate of mowing:
Rate = 15 / 3 = 5 hours per lawn.
This means that, on average, it takes Lauren 5 hours to mow a single lawn.
Learn more about Rate of Work here:https://brainly.com/question/32225531
#SPJ3
Find the value of c that will make 9x2 + 30x + ca perfect square trinomial.
Answer:
Step-by-step explanation:
(a+b)²=a²+2ab+b²
9x²+30x+ca
=(3x)²+2×3x×5+c
=(3x)²+2×3x×5+5²-5²+c
=(3x+5)²-25+c
it is a perfect square if -25+c=0
or c=25
The value for c to make 9x²+30x+ca perfect square trinomial is 25.
What is Quadratic Equation?An algebraic equation of the second degree in x is a quadratic equation. The quadratic equation is written as ax² + bx + c = 0, where x is the variable, a and b are the coefficients, and c is the constant term.
We have Equation,
9x²+30x+ca
Using algebraic identity
(a+b)²=a²+2ab+b²
So, 9x²+30x+ca
=(3x)²+2×3x×5+c
=(3x)²+2×3x×5+5²-5²+c
=(3x+5)²-25+c
The given equation is a perfect square if -25+c=0
c = 25
Learn more about Quadratic Equation here:
https://brainly.com/question/30098550
#SPJ2
Solve the following:
5,138 ÷ 302
Answer:
17.0132
Step-by-step explanation:
NASA launches a rocket at t=0 seconds. Its height, in meters above sea-level, in terms of time is given by h=−4.9t2+244t+269.
how high is the rocket after 9 seconds
how high was the rocket when it initially launched
Answer: The height of the rocket after 9 seconds is 2068.1 meters.
The height of the rocket when it initially launched is 269 meters.
Step-by-step explanation:
Given, NASA launches a rocket at [tex]t=0[/tex] seconds.
Its height, in meters above sea-level, in terms of time is given by [tex]h=-4.9t^2+244t+269.[/tex]
To find, the height of the rocket after 9 seconds put t=9, we get
[tex]h=-4.9(9)^2+244(9)+269\\\\=-4.9(81)+2196+269\\\\=-396.9+2465\\\\=2068.1[/tex]
Hence, the height of the rocket after 9 seconds is 2068.1 meters.
To find, the height of the rocket when it initially launched put t=0, we get
[tex]h=-4.9(0)^2+244(0)+269\\\\=0+0+269\\\\=269[/tex]
Hence, the height of the rocket when it initially launched is 269 meters.
Find the area of XYZ by following these steps
1. Press Continue to circumscribe a rectangle around the triangle
Answer:48
Step-by-step explanation:did the questions
The area of the given rectangle is 48 square units.
What is Area?The total space occupied by a flat (2-D) surface or the shape of an object is defined as its area. The area of a plane figure is the space enclosed by its boundary. The number of unit squares that cover the surface of a closed form is the figure's area.
We have the graph from which we can write
width of rectangle = 8 unit
Length of rectangle= 6 unit
So, the area of rectangle
= lw
= 8 x 6
= 48 unit²
Thus, the area of the given rectangle is 48 square units.
Learn more about area here:
brainly.com/question/27683633
#SPJ7
"Your question is incomplete, probably the complete question/missing part is:"
Find the area of AXYZ by following these steps.
1. Press Continue to circumscribe a rectangle around the triangle
2. Find the area of the rectangle. Area = 48 units²
3. Find the area of A1. Area = units²
Help me Select the correct answer from each drop-down menu.
The Sawyer and Ruiz families each bought a laptop computer at the same time.
The resale values, in dollars, of the laptops are modeled by the given functions, where x is the nu
laptop.
Sawyer Family's Laptop
Ruiz Family's Laptop
g(x)
640
480
A(x) = 620(0.85)*
360
The answer is in the picture below just did the test!
The correct answer of Resale value is :
The Ruiz family's laptop has the greater initial resale value.
The Ruiz family's laptop will have a higher resale value than the Sawyer family's laptop after 4 years.
The resale value of the Sawyer family's laptop decreases at a faster average rate than the resale value of the Ruiz family's laptop.
Based on the table, the Ruiz family's laptop has the greater initial resale value. They bought it for $640, while the Sawyer family bought their laptop for $620.
To compare the resale values of the two laptops after 4 years, we can evaluate the functions g(4) and A(4).
[tex]g(4) = 640 \times0.85^4 = 360.78[/tex]
[tex]A(4) = 620 \times 0.85^4 = 343.65[/tex]
Therefore, the Ruiz family's laptop will have a higher resale value than the Sawyer family's laptop after 4 years.
To compare the average rates of decrease of the resale values of the two laptops, we can calculate the following:
Average rate of decrease of the Ruiz family's laptop: (640 - 360.78) / 4 = 70.63
Average rate of decrease of the Sawyer family's laptop: (620 - 343.65) / 4 = 68.35
Conclusion:
The Ruiz family's laptop has the greater initial resale value.
The Ruiz family's laptop will have a higher resale value than the Sawyer family's laptop after 4 years.
The resale value of the Sawyer family's laptop decreases at a faster average rate than the resale value of the Ruiz family's laptop.
For more such questions on Resale value
https://brainly.com/question/28778665
#SPJ2