The second container can hold (1000/3) x h2 cubic centimeters of liquid.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
We can use the concept of similar shapes to solve this problem.
Since the two containers have exactly the same shape, the ratio of their corresponding dimensions (height, width, and length) will be the same. Let's denote the height of the second container by h2.
Now,
The first container has a height of h1 and can hold v1 units of liquid.
Since the containers have the same shape, the ratio of their heights will be the same as the ratio of their volumes.
So,
h2/h1 = (volume of container 2) / (volume of container 1)
Solving for the volume of container 2.
(volume of container 2) = (h2/h1) x (volume of container 1)
Substituting the given values, we get:
(volume of container 2) = (h2/3) x (1000)
where we have converted 1 liter to 1000 cubic centimeters.
Simplifying this expression.
(volume of container 2) = (1000/3) x h2
Therefore,
The second container can hold (1000/3) x h2 cubic centimeters of liquid.
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Which expression entered into a graphing calculator will return the probability
that at most 10 heads come up when flipping a coin 25 times?
A. binomcdf(25, 10,0.5)
B. binomcdf(10, 0.5, 25)
C. binomcdf(25, 0.5, 10)
D. binomcdf(10,25, 0.5)
SUBMIT
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Ahmed paid $34 000 for a car. His car decreased in value by 40% at the end of the first year. The value at the end of the second year was 10% less than the value at the end of the first year. . Calculate the value of Ahmed's car after 2 years .
40% of 34 000
40/100 * 34 000 = 13 600
subtract : 34000 - 13 600 = 20 400
Second step:10% of 20 400
10/100 * 20 400 = 2040
subtract : 20 400 - 2040 = $ 18 360
Final Answer = $ 18 360In 7 years, Tom will be half as old as Patty. Using P to represent Patty’s age now, write an expression for Tom’s age in 7 years.
Answer:
(P + 7) / 2 or 1/2(P+7)
Happy learning!
--Applepi101
a straight line has equation y=5-3x
what is the gradient of the line?
Answer:
-3
Step-by-step explanation:
1. rearrange so it's in the formula y=mx+C
2. y=-3x+5
y=mx+C
M=gradient
-3=m
gradient= -3
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Answer:
x + y = 60
Step-by-step explanation:
[tex]2x + 2y + 60 = 180 \\ 2x + 2y = 180 - 60 \\ 2x + 2y = 120 \\ \frac{2x + 2y}{2} = \frac{120}{2} \\ x + y = 60 \\ [/tex]
PLEASE I NEED THE ANSWER WITH THE EXPLANATION DON'T IGNORE MY QUESTION!!!
The
mean of six numbers is 12.five of the numbers
are 11,7,21,14 and 9. calculate the sixth number.
The answer is attached. I hope this helps answer your question!
Answer:
10
Step-by-step explanation:
data=11,7,21,14,9,x
mean=sum of data/no of data
12=11+7+21+14+9+x/6
12*6=62+x
72-62=x
10=x
therefore sixth number is 10.
30 square units is how much units ?
Answer: 30 units
:))
Alex bought 2 printer cartridges for $28 each and a printer for $85. He gave the cashier $150. How much change should Alex have received from the cashier?
Answer:
$9 in change
Step-by-step explanation:
Find the total cost of his purchases:
28 + 28 + 85
= 141
Find how much change he received by subtracting this from 150:
150 - 141
= 9
So, he should have received $9 in change
Round 31.24 to 1 decimal place
Round 5.275 to 2 decimal place
Round 0.56489 to 3 decimal place
Answer:
1. 31.2
2. 5.28
3. 0.565
Step-by-step explanation:
Remember if the number is 1-4 round down and if the number is 5-9 round up.
Hope this is helpful
#happylearning
Se desea construir un parque con forma de sector circular con un radio de 402 pies y un ángulo central de 45°. ¿Cuál será la superficie ocupada por dicho parque?
Answer:
63462 pies
Step-by-step explanation:
De la pregunta anterior, debemos encontrar el área del sector
La fórmula se da como:
θ / 360 × πr²
Dónde:
θ = 45 °
radio = 402 pies
Área del sector =
45/360 × π × 402²
= 63461.742399 pies
Aproximadamente el área de la ocupada por el parque = 63462 pies
Write an equation that meets these criteria:
1. It has a solution of x=5.
2. It includes the numbers 3, 7, and 8, and at least
two different operations (addition, subtraction,
multiplication, and division.)
Answer:
3x = 7 + 8
Step-by-step explanation:
3x = 7 + 8
3x = 15
x = 3
The breakdown of a sample of a chemical compound is represented by the function p(t) = 500 (0.25)^t, where p(t) represents the number of milligrams of the substance and t represents the time. In years. In the function p(t), explain what 0.25 and 500 represent.
Given:
The function is:
[tex]p(t)=500(0.25)^t[/tex]
Where p(t) represents the number of milligrams of the substance and t represents the time.
To find:
The correct explanation for the number 0.25 and 500 in the given function.
Solution:
The general exponential function is:
[tex]y=ab^x[/tex] ...(i)
Where, a is the initial value and b is the growth/decay factor. If [tex]0<b<1[/tex], then decay factor and if [tex]b>1[/tex], then growth factor.
We have,
[tex]p(t)=500(0.25)^t[/tex] ...(ii)
On comparing (i) and (ii), we get
[tex]a=500[/tex], it means initial there are 500 milligrams of the substance.
[tex]b=0.25[/tex], this value is less than 1, it means the substance is decreasing by a factor of 0.25.
Therefore, 0.25 means the substance is decreasing by a factor of 0.25 and 500 means the initial value of substance is 500 milligram.
Thank you everyone for helping me this year to get good grades I am giving points.
Michael has 2 hats, 3 shirts, and 8 pants. How many different ways can he wear the outfits if he wears one of each?
Answer:
2
Step-by-step explanation:
Find the range and the interquartile range of the given data set.
2, 4, 7, 8, 16, 19, 21
58:36
If Zöe orders a book from Store Y, how much tax will she pay?
Comparison of Online Bookstores
Store X
Store Y
Cost of book
$17.00
$18.00
Tax rate
6%
8%
Shipping
10% of cost before tax
FREE
$1.44
$2.25
O $12.25
O $14.40
Answer:
$1.44
Step-by-step explanation:
Tax is a compulsory sum levied by the government. it increases the price of the good
tax paid = tax rate x price of the book
18 x 8%
18 x 0.08 = $1.44
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Answer:
y = 6
Step-by-step explanation:
Answer:
i helped
Step-by-step explanation:
a rectangular lawn of dimensions 6x metres by x metres. In the centre is a rectangular flower bed of length (x + 4) m and width (x - 1) m. If the area of the shaded region is 40 m’, calculate the area of the flower bed.
Answer:
The area of flower bed is 8.96 m^2.
Step-by-step explanation:
Length of lawn = 6 x
width of lawn = x
length of flower bed = x + 4
width of flower bed = x - 1
Area of shaded region = 40 m^2
Area of the shaded region
6 x (x) - (x +4)(x -1) = 40
[tex]5 x^2 - 3 x - 36 = 0 \\\\x = \frac{-3\pm\sqrt{9 + 720}}{10}\\\\x = \frac{-3\pm 27}{10}=2.4 m, - 3 m[/tex]
As length cannot have negative value, so x = 2.4 m.
Area of flower bed = (x + 4)(x - 1) = (2.4 + 4)(2.4 - 1) = 8.96 m^2
Helen draws a random circle
she then measures it diameter
Answer:
Lower Bound = 2.996
Upper bound = 3.244
Step-by-step explanation:
Move triangle ABC so it lies on top of triangle DEF, triangle GHI, and triangle JKL. How many units do you have to move triangle ABC from its original location to coincide with each of the other triangles? Specify how triangle ABC moves up, down, left, or right.
Answer:
See explanation
Step-by-step explanation:
The question is incomplete, as the diagram of coordinates of the three triangles are not given.
A general explanation is as follows:
First, record the coordinates of the corresponding points of the three triangles.
For instance; In triangles ABC, DEF and GHI; A, D and G are corresponding points.
Now, assume the coordinates are:
[tex]A = (1,1)[/tex]
[tex]D = (1,5)[/tex]
[tex]G= (-2,1)[/tex]
Point D is 4 points to the right of A;
i.e.
[tex]D =(1,1+4) = (1,5)[/tex]
Hence, ABC will be moved 4 units right to lie on DEF
Similarly, point G is 3 units down of A
i.e.
[tex]G =(1-3,1) = (-2,1)[/tex]
Hence, ABC will be moved 3 units down to lie on GHI.
Find the area of this triangle.
Round to the nearest tenth.
7 m
125°
14 m
?] m2
Enter
Answer:
40.1
Step-by-step explanation:
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Jake has 12 sheep all but 9 die how many does he left ?
12
9
3
Answer:
Jake has 9 sheep left
Step-by-step explanation:
As the question says, Jake has 12 sheep and all but 9 die. This means that he has 9 sheep left.
Answer:
3
Step-by-step explanation:
Jake has 12 sheeps but 9 died
Jake loss 9 sheeps
Solution:
12-9
=3
which of these points lies on the circle with center (2 3) and radius 2
A. (4,3)
B. (3,4)
C. (-1,0)
D. (1,3)
Answer:
A. 4,3
Step-by-step explanation:
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Answer:
A) (4,3)
Step-by-step explanation:
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3 is the correct one!
the sum of 43.9 and 4 groups of a number
Answer:
10.975+10.975+10.975+10.975
Step-by-step explanation:
How can you determine whether a linear binomial is a factor of a polynomial without using the remainder theorem?
A linear binomial is a factor of a polynomial if the polynomial value is 0 at the zeros of the linear binomial
How to determine the factor?Assume a polynomial function is
P(x) = (x - 3)(x + 1)(x -2)
And a linear binomial is:
x - 3 = 0
We start by calculating the value of x in x - 3 = 0
x = 3
Next, we substitute x = 3 in P(x) = (x - 3)(x + 1)(x -2)
P(3) = (3 - 3)(3 + 1)(3 -2)
Evaluate
P(3) = 0
Since P(3) = 0, then the linear binomial x - 3 is a factor of P(x) = (x - 3)(x + 1)(x -2)
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Here are the equations of two different graphs: y = x-7 and y = 3x - 7 Are the gradients of the graphs the same or different? Explain how you know.
help please
Answer:
this two graph is not same because they have different slopes for this they are not same
If 0(0,0), B(5,0) and C(5,5) are three points. Prove that
OB=OC.
Step-by-step explanation:
you must have written something wrong.
because given that information OB is not equal to OC.
but for example, OB = BC.
the distance of OB is (5,0) - (0,0) = (5-0,0-0) = (5,0) =
= sqrt(5² + 0²) = sqrt(25) = 5
the distance of OC is (5,5)-(0,0) = (5-0,5-0) = (5,5) =
= sqrt(5² + 5²) = sqrt(50) = 5×sqrt(2)
so, OB is NOT the same as OC.
but BC is (5,5)-(5,0) = (5-5,5-0) = (0,5) = sqrt(0² + 5²) =
= sqrt(25) = 5
A circle in the standard (x,y) coordinate plane has
center C(−1,2) and passes through A(2,6). Line
segment AB
___ is a diameter of this circle. What are the
coordinates of point B ?
Given:
Center of a circle is at point C(-1,2).
AB is the diameter of the circle.
Coordinates of the point A are A(2,6).
To find:
The coordinates of point B.
Solution:
Let the coordinates of point B are (a,b).
If AB is the diameter of the circle, then A and B are end points of diameter of the circle and the center C is the midpoint of AB.
[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]
Point C = Midpoint of AB
[tex](-1,2)=\left(\dfrac{2+a}{2},\dfrac{6+b}{2}\right)[/tex]
On comparing both sides, we get
[tex]\dfrac{2+a}{2}=-1[/tex]
[tex]2+a=-1\times 2[/tex]
[tex]a=-2-2[/tex]
[tex]a=-4[/tex]
Similarly,
[tex]\dfrac{6+b}{2}=2[/tex]
[tex]6+b=2\times 2[/tex]
[tex]b=4-6[/tex]
[tex]b=-2[/tex]
Therefore, the coordinates of point B are (-4,-2).
Step 1: Subtract 3 from both sides of the inequality.
Step 2: __________
Step 3: Divide both sides of the inequality by the coefficient of x.
What is the missing step in solving the inequality 5 – 8x < 2x + 3?
Answer:
I’m gay
Step-by-step explanation:
Answer:
Add 8x to both sides of the inequality.
Step-by-step explanation:
I got it right