isabella is covering a square tabletop with square mossaic tiles.the tabletop is 2ft. long and 2ft.wide.each tile is 1/4 in.long and 1/4in.wide.what is the minimum number of tiles needed to cover the tabletop?
Isabella needs a minimum of 9216 tiles to cover her 2ft by 2ft tabletop. This is calculated by converting all measurements to inches, finding the area of both the tabletop and a single tile, and dividing the total area of the tabletop by the area of a single tile.
Explanation:To answer Isabella's question let's first convert everything into the same units to make it easier. The tabletop in inches would be 2ft * 12in/ft = 24in by 24in. The area of the tabletop is then 24in * 24in = 576in^2. Each tile is 1/4in by 1/4in in size, so the area of a single tile is 1/4in * 1/4in = 0.0625in^2. To find the minimum number of tiles needed to cover the tabletop, divide the total area of the tabletop by the area of a single tile: 576in^2 / 0.0625in^2 = 9216 tiles. Therefore, Isabella needs a minimum of 9216 tiles to cover the square tabletop.
Learn more about Math Problem Solving here:https://brainly.com/question/34153333
The figure is a cylinder with a sphere within it.
To the nearest whole number, what is the approximate volume of the shaded part of this figure?
Use 3.14 for Pi.
Drag the correct value to the box.
Answer:
[tex]2713cm^3[/tex]
Step-by-step explanation:
From the given figure, the radius of the cylinder is=8cm, height of cylinder is =18cm and the radius of the sphere is= 6cm.
Thus, [tex]Volume of cylinder={\pi}r^2h[/tex]
[tex]V=3.14(8)^{2}(18)[/tex]
[tex]V=3.14(64)(18)[/tex]
[tex]V=3617.28cm^3[/tex]
And [tex]volume of sphere=\frac{4}{3}{\pi}r^3[/tex]
[tex]V=\frac{4}{3}(3.14)(6)^3[/tex]
[tex]V=\frac{4}{3}(3.14)(216)[/tex]
[tex]V=904.31cm^3[/tex]
Thus, the volume of the shaded part of the figure=Volume of cylinder-volume of sphere
⇒volume of the shaded part of the figure=[tex]3617.28-904.31[/tex]
=[tex]2712.97[/tex]
≈[tex]2713cm^3[/tex]
Thus,volume of the shaded part of the figure=[tex]2713cm^3[/tex]
You are a member of your school's Earth club. You want the club to buy a solar powered trash compactor. The width is 24 inches. The depth is 36 inches. The height is 48 inches. What is the surface area of one solar powered trash compactor in square feet?
Answer:
i have ttm also
Step-by-step explanation:
A box contains 2 green balls and 2 yellow balls. Reaching to the box and grab a yellow ball. Express the probability as a decimal.
Final answer:
The probability of grabbing a yellow ball from a box with 2 green and 2 yellow balls is 0.5, calculated by dividing the number of yellow balls by the total number of balls.
Explanation:
In probability, the chance of an event happening is expressed as a fraction of the number of successful outcomes over the number of total possible outcomes. Since there are 2 yellow balls and 4 balls in total, the probability (P) of drawing a yellow ball is calculated as follows:
Number of successful outcomes (yellow balls) = 2
Total number of possible outcomes (total balls) = 4
P(yellow ball) = Number of yellow balls / Total number of balls = 2/4 = 0.5
Therefore, the probability of grabbing a yellow ball is 0.5 when expressed as a decimal.
in the figure to the right, if ac=14 and bc=11 what is radius?
Answer: If AC = 15 and BC = 12, AB = 9
If AC = 14 and BC = 11, 9 > AB > 8
Radius = AB = 8.66...
IDO NOT KNOW SORRY IF IT DIDNT HELP
Answer: The answer is 8.7 :)
Omar has $32 to spend at the store. He bought one bag of apples which cost $4 each, 3 mangoes which cost $2 each, one block of cheese which costs $5, and a pizza which costs $15. How much change will Omar receive after his purchase?
Brainliest
For this case the total change is given by the following relationship:
Total change = Amount of money - Total costs.
Amount of money = $ 32
The total costs are given by the sum of each purchase.
We have then:
Total costs = 4 + (3 * 2) + 5 + 15
Total costs = 4 + 6 + 5 + 15
Total costs = $ 30
Substituting values we have:
Total change = 32 - 30
Total change = 2 $
Answer:
Omar will receive after his purchase about:
Total change = 2 $
Answer:
2
Step-by-step explanation:
Total costs = 4 + (3 * 2) + 5 + 15
Total costs = 4 + 6 + 5 + 15
Total costs = $ 30
Substituting values we have:
Total change = 32 - 30
Total change = 2 $
The marketing department of a sports supply store wants to estimate the percentage pf adults in the town who belong to a gym. Which statement describes a method that will help the marketing department accurately estimate the percentage
Abigail is using her mothers pancake recipe but she wants to make 60% more pancakes than the recipe usually prepares.If her mother’s recipe calls for 1/2 cup of flour,how much flour will Abigall need to use?
Final answer:
Abigail will need to use 0.8 cup of flour to make 60% more pancakes than the original recipe.
Explanation:
To determine how much flour Abigail needs to use, we can set up a proportion based on the increase in the number of pancakes. If her mother's recipe calls for 1/2 cup of flour for a certain number of pancakes, and Abigail wants to make 60% more pancakes, then she will need 60% more flour. To calculate the amount of flour, we can multiply the original amount by 1.6 (which is 100% + 60%).
Flour needed = 1/2 cup * 1.6 = 0.8 cup
Therefore, Abigail will need to use 0.8 cup of flour to make 60% more pancakes than the original recipe.
To avoid a storm, a passenger-jet pilot descended 0.17 mile in 0.2 minute. What was the plane's average change of altitude per minute?
Which of the following would be a reasonable estimate for the weight of a pencil?
A.
1 × 1020 lb
B.
1 × 10-2 lb
C.
1 × 10-20 lb
D.
1 × 102 lb
Answer:
I think its c
Step-by-step explanation:
It has to be with a negative exponent because a pencil weighs like a gram so its just a 50/50
The perimeter of a rectangle is 132 feet and its area is 1080 square feet. find the dimensions
A number cube is rolled 63 times. predict how many times the cube will land on a number that is a factor of 6 .
Final answer:
When a number cube is rolled 63 times, it is predicted to land on a factor of 6, specifically 1, 2, 3, or 6, a total of 42 times. This prediction is based on the probability of 2/3 for each roll to result in a factor of 6.
Explanation:
A student asked: A number cube is rolled 63 times. Predict how many times the cube will land on a number that is a factor of 6.
To answer this, we first identify the factors of 6 on a six-sided number cube, which are 1, 2, 3, and 6. Because each side of a perfectly weighted cube has an equal chance of landing face up, the probability of landing on a factor of 6 each time the cube is rolled is determined by the number of sides with factors of 6 out of the total number of sides. In this case, 4 out of the 6 sides are factors of 6 (1, 2, 3, and 6).
The probability of landing on a factor of 6 for each roll is 4/6, which simplifies to 2/3. To predict how many times the number cube will land on a factor of 6 in 63 rolls, we multiply the total number of rolls by the probability of landing on a factor of 6:
Predicted occurrences = Total rolls × Probability = 63 × (2/3) = 42
Therefore, we predict that the number cube will land on a factor of 6 a total of 42 times out of 63 rolls.
Use the following clues to determine what number goes in each labeled region of this figure
Jen Butler has been pricing speed pass train fares for a group trip to new york. three adult and four children must pay $122. two adults and three children must pay $87. find the price of the adult ticket and the price of the child
Let price of adult ticket is $x
And price of child ticket is $y
So we can make two equations using the given data
[tex] 3x+4y = 122 [/tex]
[tex] 2x+3y = 87 [/tex]
Now we can use eliminator method to solve the two equations
Multiply first equation by 2 and second equation by -3
[tex] 2(3x+4y = 122) [/tex]
[tex] -3(2x+3y = 87) [/tex]
[tex] 6x+8y = 244 [/tex]
[tex] -6x-9y =-261 [/tex]
now add both the equations so we get
[tex] 6x-6x+8y-9y=244-261 [/tex]
combine the like terms
[tex] -y=-17 [/tex]
Divide both sides by -1
[tex] y=17 [/tex]
Plug y=17 in any one of the equations to solve for x
[tex] 3x+4(17) = 122 [/tex]
[tex] 3x+68 = 122 [/tex]
Subtract 68 from both sides
[tex] 3x = 54 [/tex]
Divide both sides by 3
[tex] x=18 [/tex]
So x=18 and y=17
So
Price of adult ticket= $18
Price of child ticket = $17
please help soon!!! I can’t figure this out! ;-; I just need this answer :(
Kelly ran 2 miles and burned 240 calories. The next day she ran 3 miles and burned 360 calories. The next day 4 miles and 480 calories. If this pattern continues, how many calories will she burn if she runs 8 miles?
Which expression is equivalent to 4×4×4×4?
It takes 6 gallons of water to fill a tank to it capacity. If a person tried to fill it by hand and used containers that held 3/4 of a gallon, how many containers would it take to fill the tank?
There are 75 silver beads and 15 gold beads in each package of beads. What is the unit rate in silver beads per gold bead? A5 B10 C5 D 75 asap plz
[tex]\silver\ per\ gold\\\\\dfrac{75\ silver}{15\ gold}=\dfrac{75}{15}\ silver\ per\ gold=5\ silver\ per\ gold\\\\Answer:\ C.\ 5[/tex]
Answer:
C bc i know
Step-by-step explanation:
For every two feet the ramp goes up it also goes 5 feet forward. If this ratio remained constant, how many feet high would the ramp be if it went 22.5 feet forward? A) 9 feet high B) 11.25 feet high C) 32 feet high D) 45 feet high
A right rectangular pyramid is sliced parallel to the base, as shown.
What is the area of the resulting two-dimensional cross-section?
2 m²
3 m²
9 m²
12 m²
Camryn earns $198.60 per week. She works 15 hours each week. How much does Camryn earn per hour? P.S this is a unit rate question!
Liam bought 8 quarts of juice at the grocery. How many gallons of juice did he buy?
Edwina, Lexi and Luis plant a tree every 1/4 of a mile along the trail. Write and evaluate a división expression to find the number of trees they will plant. Show your work. Write your answer in simplest form
To calculate the number of trees planted, divide the total length of the trail by 1/4 mile, or multiply by 4. This will give the number of trees in simplest form once the trail length is known.
Explanation:To find the number of trees Edwina, Lexi, and Luis will plant along the trail, we need to divide the total length of the trail (in miles) by the distance between each tree (1/4 mile). Say the length of the trail is 'L' miles, the division expression will be L / (1/4). To evaluate this expression, remember that dividing by a fraction is the same as multiplying by its reciprocal. So the expression becomes L x 4, which gives the total number of trees planted along the trail. Without the specific length of the trail, we cannot calculate an exact number of trees. However, this formula helps us find the answer in simplest form once 'L' is known.
Ben builds custom ladders of varying heights. He uses this equation to determine the number of rungs, r , to put on a ladder that has a height of h feet. r = h ÷ 0.8 What is the independent variable in this situation?
the height of the ladder
the number of ladders
the space between rungs on the ladder
the total number of rungs on the ladder
Ben builds ladders of different heights and put the number of rungs depending upon height of any particular ladder. He uses an equation for this construction that is given by :-
r = h ÷ 0.8
where h is the height of the ladder and r is the number of rungs in that ladder.
As we increase the height of the ladder, we need more rungs. If we decrease height, we would need lesser rungs.
Thereby, the number of rungs depend on the height of the ladder. It means value of r depends on value of h.
So r is dependent variable, and h is the independent variable.
Hence, option A is correct i.e. the height of the ladder.
The distance from your house to school is 5/6 mile. You have already biked 3/6 mile. Which equation shows how to find the distance you still need to travel to get to school?
A water cup is in the shape of the cone. The diameter of the cup is 3 inches and the height is 6 inches.
What is the volume of water the cup could hold?
Use 3.14 for pi.
Enter your answer, as a decimal, in the box.
____ in3
Answer:
volume of water cup could hold is, 14.13 square inches.
Step-by-step explanation:
Volume of a cone(V) is given by:
[tex]V = \frac{1}{3} \pi r^2 h[/tex] .....[1]
where,
r is the radius of the cone
h is the height of the cone
As per the statement:
A water cup is in the shape of the cone. The diameter of the cup is 3 inches and the height is 6 inches.
⇒height(h) = 6 inches and diameter(d) = 3 inches
We know that:
diameter(d) =2 (radius)
[tex]3 = 2r[/tex]
Divide both sides by 2 we get;
[tex]r = 1.5[/tex]
substitute these in [1] we have;
Use [tex]\pi = 3.14[/tex]
[tex]V = \frac{1}{3} \cdot 3.14 \cdot 1.5^2\cdot 6[/tex]
⇒[tex]V = \frac{1}{3} \cdot 3.14 \cdot 13.5[/tex]
Simplify:
[tex]V = 14.13 in^3[/tex]
Therefore, the volume of water the cup could hold is, 14.13 square inches.
Final answer:
The volume of water a cone-shaped cup can hold, with a diameter of 3 inches and height of 6 inches, using the formula for the volume of a cone, is 14.13 cubic inches.
Explanation:
The question asks us to calculate the volume of water a cone-shaped cup can hold given its dimensions. The diameter of the cup is 3 inches, and its height is 6 inches. To find the volume of a cone, we use the formula V = 1/3 πr²h, where V is the volume, r is the radius, h is the height, and π (pi) is approximately 3.14.
First, we find the radius of the cup. The diameter is 3 inches, so the radius (half the diameter) is 1.5 inches. Substituting the radius and the height into the formula, we get:
V =1/3 × 3.14 × (1.5²) × 6 = 1/3 × 3.14 × 2.25 × 6 = 1/3 × 3.14 × 13.5 = 14.13 cubic inches
Therefore, the volume of water the cup could hold is 14.13 cubic inches.
6 x (8 + 15) - (4 x 7) = ?
Use the graph below to fill in the blank with the correct number: f(−2) = _______ X, Y graph. Plotted points negative 3, 0; negative 2, 2; 0, 1; and 1, negative 2.
The answer is 2 . I took the test, its right, Sqdancefan is right :)
A circle is cut from a square piece of cloth, as shown:
How many square inches of cloth are cut from the square?
(π = 3.14)
A. 1,017.36 in2
B. 1,182.96 in2
C. 1,276.00 in2
D. 1,489.24 in2