A 2ft-by-2ft square is divided into smaller squares and portions are shaded. What is the area of the shaded portion?
Answers
Answer:
1.5 ft^2
Step-by-step explanation:
Since the length is divided into 4 parts,
Length of a small square = 2/4
= 0.5 ft
Hence,
Area of 1 small square = (0.5)(0.5)
= 0.25 ft^2
Area of shaded portion = Area of 6 small squares
= 6(0.25)
= 1.5 ft^2
Step-by-step explanation:
The area of the shaded cubes is 3 square feet.
What is a square?A square is a two-dimensional figure that has four sides and all four sides are equal.
The area of a square is given side²
We have,
Since the 2 ft-by-2 ft square is divided into 16 smaller squares, each smaller square has an area of:
(2/4)ft = 0.5ft.
Now,
Out of the 16 smaller squares, 6 smaller cubes are shaded.
Since each smaller cube occupies the space of one of the smaller squares, the total area of the shaded cubes is 6 times the area of one of the smaller squares.
The area of the shaded cubes is:
6 x 0.5ft² = 3ft²
Thus,
The area of the shaded cubes is 3 square feet.
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Related Questions
A pianist charges $200 to perform at a restaurant. At the end of the night she collected her tips and left with a total earning of $310. Write an equation and solve for the amount she made in tips for the performance.
Answers
Answer:
310-200= T
Step-by-step explanation:
310 = 200 + x
Let’s break this down. 310 is their total earning, 200 is our set price for performing, and x represents how much she earned in tips.
310 = 200 + x
110 = x
Hope this helps!
A middle school had a school spirit day. In one class the ratio of students who wore school colors to the number of students who didn’t was 8 to 5. Ten students didn’t wear school colors
Answers
Answer:
Step-by-step explanation:
The town of Winchester recently built an artificial body of Vater. This reservoir will store drinking water for the
town. Which of the following could cause contamination of the water and lead to human health-related problems
and loss of native species?
development of a water quality plan
B building a fence around the reservoir
C improvements to a water treatment facility
increased use of pesticides (chemicals) by farmers within the local watershed
Answers
Answer:
This reservoir, will store drinking water for the town. Which of the following could cause contamination of the water and lead to human health-related problems and loss of native species? ... Air pollution can affect human health and the health of other living things.
Step-by-step explanation:
Suppose that you have $1500 to spend on fencing for your rectangular yard. The fence meets with your
house on one side, so you only need to fence three sides of the rectangle. The sides touching the house
will be equal in length, call these lengths x feet. And label the length of the third side y feet. Fencing
costs $57 per foot.
a. Write a function that expresses total fence cost as a function of x and y.
b. Write a function that expresses the total area as a function of x and y.
c. Write a function that expresses the total area as a function of x only. Assume that you want to
spend as much of that $1500 as you can.
d. Graph the result of c and past below. Be sure to include where the function reaches a maximum.
Answers
The cost function of the rectangular yard is 114x + 57y = 1500
Let x represent the length of the rectangular yard and y represent the width of the rectangular yard.
Since you need to fence only 3 sides, hence:
2x + y = Perimeter
Each foot cost $57 per foot and there is $1500 to spend, hence:
2x(57) + y(57) = 1500
114x + 57y = 1500
y = (1500 - 114x) / 57
The area (A) of the rectangular yard is:
A = x * y
A = xy
A = x[(1500 - 114x) / 57)
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You have been asked to analyze the popcorn recipes of three different local theatres in order to figure out which theatre has the best popcorn. In this case, the "best" popcorn is the most buttery! In your quest to find the best, you meet with each theatre manager individually and ask for the ratio of oil to popcorn kernels that they use in their recipes. Here are their responses.
The manager of Theatre A says that they usually go through about 15 cups of popcorn kernels and about 5 cups of oil each weeknight.
The manager of Theatre B says that they order 18 cups of oil and 72 cups of popcorn kernels each week.
The manager of Theatre C says that their concessions use 6 cups of oil and 32 cups of popcorn kernels on a busy Saturday.
You also ask about the amount of salt each theatre uses in their recipe. Their responses are below.
Theatre A uses 2 cups of salt for every 10 cups of oil.
Theatre B uses cup salt for every cup of oil.
Theatre C uses 1 cup of salt for every 6 cups of oil.
For each of the following ratio problems, use a double number line or an equation to solve. Type your answers as numbers.
If Theatre A uses 27 cups of popcorn kernels, how many cups of oil will they use?
_____cups
Answers
Answer: The ratio value of oil to popcorn kernels for theatre C is 6 / 32 = 3 / 16.
Step-by-step explanation: Given that the manager of Theatre A says that they usually go through about 15 cups of popcorn kernels and about 5 cups of oil each weeknight.
Then, the ratio value of oil to popcorn kernels for theatre A is 5 / 15 = 1 / 5.
Given that the manager of Theatre B says that they order 18 cups of oil and 72 cups of popcorn kernels each week.
Then, the ratio value of oil to popcorn kernels for theatre B is 18 / 72 = 1 / 4.
Given that the manager of Theatre C says that their concessions use 6 cups of oil and 32 cups of popcorn kernels on a busy Saturday.
Then, the ratio value of oil to popcorn kernels for theatre C is 6 / 32 = 3 / 16.
The instructions for mixing a powdered cleaner and water state that you should mix 3 ounces of powder in a 14 quart pal 3/4 full of water. To obtain a mixture of equal strength and a mop bucket containing 28 gallons of water requires how many ounces of powder
Answers
Answer:
this doesn't make sense
Step-by-step explanation:
a tube has a radius of 4 inches and a height of 4 inches. what's its approximate volume?
Answers
Step-by-step explanation:
that is the same as the volume of a cylinder :
pi×r²×height = pi×4²×4 = pi×64 = 201.0619298... in³
≈ 201 in³
Volume is a three-dimensional scalar quantity. The volume of the tube is 201.0619 inches³.
What is volume?A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.
The volume of a cylinder is given by the formula as shown below,
Volume of a cylinder = πr²h
where r is the radius of the cylinder while h is the height of the cylinder.
Given that a tube has a radius of 4 inches and a height of 4 inches. Therefore, the volume of the tube will be,
The volume of the tube = π × R² × h
= π × (4 inches)² × (4 inches)
= 64π inches³
= 201.0619 inches³
Hence, the volume of the tube is 201.0619 inches³.
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Work out the area of the shaded shape.
Answers
Answer:
61 m²
Step-by-step explanation:
Find the area of the whole rectangle and subtract the part that is cut off
Area = [tex]11 *8 - 9 *(8-5)[/tex]
= [tex]88 - 9*3[/tex]
= [tex]88 - 27[/tex]
= [tex]61[/tex]
Units = m * m or m²
61 m²
-Chetan K
3(x+9)-4x=11x-13x+23
Answers
Answer:
[tex]\huge\boxed{x=-4}[/tex]
Step-by-step explanation:
[tex]3(x+9)-4x=11x-13x+23\\\\(3)(x)+(3)(9)-4x=(11x-13x)+23\\\\3x+27-4x=-2x+23\\\\(3x-4x)+27=-2x+23\\\\-x+27=-2x+23\qquad|\text{subtrsact 27 from both sides}\\\\-x=-2x-4\qquad|\text{add}\ 2x\ \text{to both sides}\\\\x=-4[/tex]
WHAT PERCENT OF 200 IS 28???? HELP MEEEEEE!!!!!!!!!
Answers
Answer:
14%
Step-by-step explanation:
Find the quotient of 29 and 200.
[tex]\frac{28}{200}=0.14[/tex]
Therefore, 28 is 14% of 200.
The number 28 is 14% of the number 200.
What is the percentage?
The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Given that the number is 200 and 28 is what percent of 200 will be calculated as:-
The percentage will be calculated as:-
200 x (X)% = 28
X% = ( 28 x 100) / 200
X% = 14%
Therefore, the number 28 is 14% of the number 200.
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Only 19 and 21!!!!!
Thank You!!!!
Answers
Step-by-step explanation:
19. 4x² - 13x + 3
4x² - 1x - 12x + 3
x(4x - 1) -3(4x - 1)
x-3 4x-1
if I set off for the market,a distance of 11km at 10am. And walk at an average speed of 3km per hour,At what time will I reach the market?
Answers
Answer:
At 1:40 pm you will reach the market.
Step-by-step explanation:
Distance (d) = 11 km
Average speed (v) = 3 km/h
Formula:
[tex] \rm Average \: speed = \dfrac{Distance}{Time} \\ \\ \rm 3 = \dfrac{11}{t} \\ \\ \rm t = \dfrac{11}{3} \\ \\ \rm t = 3 \frac{2}{3} \\ \\ \rm t = 3 hr \: 40min[/tex]
It will take 3 hours 40 minutes to reach the market.
So, if you set off for the market at 10 am you will reach market by 1:40 pm (10 am + 3hr 40min).
Find the midpoint of Segment AB if A (-5, 6) and B(1.-3).
Midpoint Formula: (X: + X2, Y + y2)
2 2
Answers
Answer:
(-2, 1.5)
Step-by-step explanation:
x-coordinate = ½(1 - 5) = -2
y-coordinate = ½(-3 + 6) = 1.5
Which ordered pair (a, b) is the solution to the given system?
2a-5b=1
3a+5b=14
(1, 3)
(3, 1)
(29/5,15)
15,29/5
Answers
Answer:
2a - 5b = 1
3a + 5b = 14
Let's solve this system using elimination. Add the equations together to cancel the b-terms, then solve for a.
2a - 5b = 1
3a + 5b = 14
+___________
5a - 0 = 15
5a = 15
a = 3
Next, plug 3 for a into either of the equations and solve for b.
2a - 5b = 1
2(3) - 5b = 1
6 - 5b = 1
- 5b = -5
b = 1
Lastly, check all work by plugging both values for their respective variables.
2a - 5b = 1
2(3) - 5(1) = 1
6 - 5 = 1 -- This is true
3a + 5b = 14
3(3) + 5(1) = 14
9 + 5 = 14 -- This is true
The solution to the system of equations is (3, 1).
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
What is the end behavior of the function f(x)=−3/4x^2?
Answers
Answer:
[tex]f(x)\longrightarrow-\infty[/tex], as [tex]x\longrightarrow+\infty[/tex]
Step-by-step explanation:
We can see that the larger the input, the smaller the output
Would I use subtraction for this problem ?
Answers
Answer:
Tim has 224 blue marbles.
Step-by-step explanation:
32 × 7 = 224
He has 7 times as many as Malanie (32)
I hope this helps!!!!
3
Evaluate the function f(x) = (x + 2)2 for the given inputs.
a. f(5)=
b. f(-3) =
c. f (x+3) =
Answers
Answer:
a. 49
b. 1
c. x^2+10x+25
Step-by-step explanation:
Symply substitute the values (5, -3, x+3) in the equation (x+2)^2
I WILL GIVE BRAINLEST HURRY PLEASE ITS DUE RIGHT NOW HURRY PLEASE plssss help me if your good at finding area in shapes plsss
Answers
CAN SOMEONE HELP ME WITH THIS?
Answers
Answer:
d
Step-by-step explanation:
Which expression is equivalent to (6x + 12)?
Answers
Answer:
2(3x + 6)
Step-by-step explanation:
Please look at picture for question.
Answers
Answer:
A 1.5
B -1/3
C -4/3
Step-by-step explanation:
I solved this by remembering...
numbers above 0 are positive
-1/3 is greater than -1
-4/3 means -1 AND 1/3 so this is less than -1
A = 1.5 (+ve value, upwards)
B = -1/3 (-ve value, downwards)
C = -4/3 (-ve value, downwards)
A = 1.5 (lies in between +1 & +2)
B = -1/3 (-0.33 lies in between 0 & -1)
C = -4/3 (-1.33 lies in between -1 & -2)
See the attached picture for more details.
______
Hope it helps ⚜
2^x+2=4. yall i got this problem and i dont rlly understand how to do it. Hope yall can help me:)))))))))))))))
Answers
Answer:
[tex]x=1[/tex]
Step-by-step explanation:
Ok, so we start off with [tex]2^x+2=4[/tex]
Then, we subtract 2 from both sides so that becomes: [tex]2^x+2-2=4-2[/tex]
After that, we simplify to get: [tex]2^x=2[/tex]
Finally, the solution becomes: [tex]x=1[/tex]
Answer:
x=1
Step-by-step explanation:
2^x=4-2
2^x=2
2^x=2^1
x=1
Does 28/4 have a remainder
Answers
Remainder=0
Quotient=7
Thanks!!
I am confused, can someone help me
Answers
Answer:
bc=10
Step-by-step explanation:
12/bc=18/(33-18)
12/bc=18/15
18bc=12*15
18bc=180
bc=180/18
bc=10
Nick drives 7 miles in ten minutes how many miles would nick drive if he drove at the same rate for 2 hours?
Answers
Answer 84 miles
Step-by-step explanation:
2hrs= 120min
7 miles/ 10 min = x miles/ 120 min
x = 84 miles
84 miles
Explanation:
2 hours = 120 minutes
120 / 10 = 12
12 x 7 = 84
How do I solve this? 2(-2w-1.2+7x)
Answers
3. Tom's entered a snowman building contest in which the person who builds the tallest
snowman wins. Currently, the record is 13.4 feet high. If Tom's snowman is currently 9 feet
high, how many more feet does he need to build on, in order to win the competition
Answers
tom's snowman has to increase by anything greater than 4.4 ft
Answer:
4.5 feet
Step-by-step explanation:
9+4.5=13.5
13.5>13.4
If a rectangle has a base of 6' and a height of 4' its area would be what?
A= bxh
A= 6'x4'
A= 24 sq.ft.
Answers
How would I solve this algebra question? Step by step
Answers
What is the volume of a cylinder with a height of 13 and radius 6?
Answers
1470.27
v = pi r^2 (H)
v = 3.14 (6^2) (13)
v = 3.14 (36) (13)
v = 1470.27 (about)
Answer:
V = 1470
Step-by-step explanation:
V = πr²h
V = (3.14)(6²)(13)
V = (3.14)(36)(13)
V = 1469.52