Answer:
Multiply [tex]2\frac{1}{2}[/tex] by [tex]3[/tex] and then add [tex]\frac{3}{4}[/tex]
Step-by-step explanation:
we know that
using proportion
[tex]\frac{(3/4)}{1}\frac{in}{week}=\frac{x}{3}\frac{in}{weeks} \\ \\x=3*(3/4)\\ \\x=9/4\ in[/tex]
Find the height of the plant in [tex]3[/tex] weeks
[tex]2\frac{1}{2} +\frac{9}{4}=\frac{5}{2} +\frac{9}{4}\\ \\=\frac{19}{4}\ in[/tex]
therefore
The incorrect method is
Multiply [tex]2\frac{1}{2}[/tex] by [tex]3[/tex] and then add [tex]\frac{3}{4}[/tex]
because
[tex]2\frac{1}{2}*3+\frac{3}{4}=\frac{15}{2}+\frac{3}{4}\\ \\=\frac{33}{4}\ in[/tex]
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 car travels 120 miles in 3 hours (with a constant speed). How far will it take to travel 200 miles?
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]
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
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.
Please help!!!!
Question on image and question below.
Find the missing value to nearest hundredth.
cos____=7/18
The area of a rectangle is 1,176 square meters.The width of the rectangle is 21 meters.What is the length of the rectangle?
area/width
=length
=1176÷21
=56m
Answer:
Length = 56 meters
Step-by-step explanation:
We can find the length of the rectangle which has an area of 1,176 square meters and width of 21 meters with this formula:
[tex]\boxed{Area(A)=length(l)\times width(w)}[/tex]
Given:
[tex]A=1,176\ m^2[/tex][tex]w=21\ m[/tex]Then:
[tex]\begin{aligned}A&=l\times w\\1,176&=l\times21\\l&=1,176\div21\\l&=56\ m\end{aligned}[/tex]
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
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 :)
Which equation represents a football player who runs 5yds/sec and starts on the 25 yard line?
Question 1 options:
y = 5x + 25
y = 5x - 25
y = 25x + 5
y = 25x - 5
Based on these equations, which one represents the greatest rate?
Question 2 options:
y = 1/2 x + 8
y = 2x + 4
y = 4x + 2
y = 7x + 5
Solution:
Question 1:
we are given that
A football player who runs 5yds/sec and starts on the 25 yard line.
So here rate is 5yds/sec
and 25 yards is the y- intercept.
Hence it can be written as
[tex]y=5x+25[/tex]
Question 2:
Based on the given equations, which one represents the greatest rate?
As we know in the standard form of equation of starlight line
[tex]y=mx+b[/tex]
m represents the rate or gradient.
As we can observe from the given options [tex]y = 7x + 5[/tex] has the greatest gradient.
Hence the correct option is [tex]y = 7x + 5[/tex]
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 $
Use the following clues to determine what number goes in each labeled region of this figure
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.
the graph below could be the graph of which exponential function
Answer:
The correct option is C.
Step-by-step explanation:
∵ The given graph is of increasing nature.
∴The base of the exponential will be greater than 1.
∴ option A is incorrect.
Also, at x=0 the value of y=3, but in option B at x=0 ⇒y= 3^0 =1
∴ option B is also incorrect.
At x=0, y=3 for option 3 which satisfies the graph.
∴ the option C is correct.
option D is incorrect because the base of an exponential can never be negative.
Help with this question please
I need the right answer please
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.
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 car travels 20 mph slower in a bad rain storm than in sunny weather. the car travels the same distance in 2 hrs in sunny weather as it does in 3 hrs in rainy weather. find the speed of the car in sunny weather. PLEASE SHOW YOUR WORK.
The speed of the car in sunny weather is calculated to be 60 mph, given that it travels the same distance in less time compared to its speed in a rainy weather, which is 20 mph slower.
Finding the Car's Speed in Sunny Weather:
Let's assume the speed of the car in sunny weather is s mph. Therefore, the speed of the car in a rain storm would be (s - 20) mph. Given that the car travels the same distance in both weathers, we can use the formula distance = speed * time to express the distance travelled in sunny weather and rainy weather.
In sunny weather, the car travels for 2 hours, hence the distance covered is 2s miles. In rainy weather, it travels for 3 hours, covering a distance of 3(s - 20) miles.
Since the distances are equal, we can equate them and solve for s:
2s = 3(s - 20)
2s = 3s - 60
s = 60 mph
Therefore, the speed of the car in sunny weather is 60 mph.
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
please help soon!!! I can’t figure this out! ;-; I just need this answer :(
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.
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 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
What are the coordinates of the hole in the graph of the function f(x) ?
f(x)=x2−9x−3
Answer:
(3,6)
Step-by-step explanation:
Believe me this is correct I just did the test
There is no hole in the graph of the function f(x) = x^2 - 9x - 3.
Explanation:To find the coordinates of the hole in the graph of the function f(x) = x^2 - 9x - 3, we need to determine the x-value at which the function is undefined. This occurs when the denominator of the function is equal to zero. In this case, the function has no denominator, so there is no hole in the graph.
Work out the circumference of this circle.
Take pi to be 3.142 and give your answer to 1 decimal place
The radius is 4cm
Circumference of the circle is 25.136 cm with radius 4 cm.
What is Circle?The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.
We have to given that;
The radius of circle = 4 cm
We know that;
The circumference of circle = 2πr
Where, 'r' is radius of circle.
So, We get;
The circumference of circle = 2πr
= 2 × 3.142 × 4
= 25.136 cm
Learn more about the circle visit:
https://brainly.com/question/26594685
#SPJ2
I don't understand this
6 x (8 + 15) - (4 x 7) = ?
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.