a rectangular container is 15cm long by 25cm wide and contains 2.5 liters of water. find the height of the water level in the container (1 liter=1000cm
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Related Questions
Ali's dog weighs 8 times as much as her cat.together,the two pets weigh 54 pounds. How much does Ali's dog weigh?
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Solve the equation 1/8x=5
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Get rid of the denominator, eight, by multiplying it to both sides of the equation
1/8(8)x = 5(8)
x = 40
The value of x in the equation is 40.
How to solve equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
In other words, an equation is a mathematical formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Therefore, let's solve for the variable x in the equation as follows;
1 / 8 x = 5
cross multiply
x = 8 × 5
x = 40
The value of x is 40.
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The cost of a car, in dollars, t years after its purchase is $20,000 - $3,000t.
Which statement is correct?
A.
The cost of the car depreciates every year by $3,000.
B.
The cost of the car depreciates every year by $20,000.
C.
The cost of the car increases every year by $3,000.
D.
The cost of the car increases every year by $20,000.
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The correct statement is that the cost of the car depreciates every year by $3,000. This is determined by analyzing the provided depreciation formula, $20,000 - $3,000t, where t is the number of years after purchase.
Explanation:The cost of a car, in dollars, t years after its purchase is described by the equation $20,000 - $3,000t. This equation indicates that the value of the car is decreasing by a fixed amount each year. Taking a closer look at the formula given, we can see that the t variable, which represents time in years, is multiplied by $3,000. This $3,000 is then subtracted from the initial value of the car, $20,000. Therefore, each year, the value of the car decreases by this amount of $3,000.
Given the options:
A. The cost of the car depreciates every year by $3,000.B. The cost of the car depreciates every year by $20,000.C. The cost of the car increases every year by $3,000.D. The cost of the car increases every year by $20,000.The correct answer is:
A. The cost of the car depreciates every year by $3,000.
The correct statement is A. The cost of the car depreciates every year by $3,000, which can be deduced from the depreciation equation of the car's value over time.
Explanation:The cost of a car, in dollars, t years after its purchase is given by the equation $20,000 - $3,000t. This equation represents a linear function where the initial value of the car is $20,000 and it decreases by $3,000 for each year t that passes. Therefore, the correct statement is:
A. The cost of the car depreciates every year by $3,000.
Each year that passes, the term $3,000t increases by $3,000 since t increments by 1, thus reducing the overall value of the car by another $3,000.
5(x – 2) = 30 Help her follow these steps to finish solving for x.
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5(x-2) = 30
distribute the 5 by multiplying it with what is inside the parenthesis
5x-10 = 30
add 10 to both sides:
5x = 40
divide both sides by 5
x = 40/5
x = 8
x=8
need help with #12 please
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It has a weak correlation.
PLEASE HELP!! Which expression is equivalent to the given expression? 6y−12
6y−12
A)6y−12y−126y−12y−12
B)3y+3y−12
C)6y+6y−126y+6y−12
D)12y−6−6
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3y+3y−12 is the right option
Step-by-step explanation:According to addition rules of algebra, only those terms can be added whose powers are same. Same terms while adding and subtracting at the same time cancel each other. As we can see that the second option 3y + 3y will give us -6y and then -12 is with it so it results 6y - 12 and that is the required function.
If Sam invested $3,000 and he earned $300 over six months, the principal is _____.
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(and the net amount of money you earn is the interest, that is $300 in this one.)
the recommended heart rate for weight management exercise and improving cardio fitness, i beats per minute, depends on a person's age and can be represented by the expression 0.7(220-a)
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Which table shows a proportional relationship? x 1 2 3 4 5 y 9 10 11 12 13 b 1 4 5 7 11 c 3 12 15 21 33 p 1 3 5 7 9 q 0 2 4 6 8 r 3 6 10 12 15 s 2 4 6 8 10
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Proportional relationships are relationships between two variables where their ratios are equivalent. b and c represents Proportional relationships.
What is proportional relationship?Proportional relationships are relationships between two variables where their ratios are equivalent
The first table is
x 1 2 3 4 5
y 9 10 11 12 13
The ratios are not same
1/9, 2/10=1/5, 3/11, 4/12=1/3, 5/13
So it is not a proportional relationship.
b 1 4 5 7 11
c 3 12 15 21 33
The ratios are same .
1/3, 4/12=1/3, 5/15=1/3, 7/21=1/3, 11/33 =1/3.
Hence b and c table shows proportional relationship.
p 1 3 5 7 9
q 0 2 4 6 8
The ratios are not same it does not show proportional relationship.
r 3 6 10 12 15
s 2 4 6 8 10
The ratios are not same it does not show proportional relationship.
Hence the table b and C shows proportional relationship.
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Which equation correctly applies the distributive property?
−1.5⋅(6⋅1.25)=(−1.5⋅6)⋅1.25
−2.5⋅0.6⋅5.8=−2.5⋅5.8⋅0.6
(0.7⋅0.7)+(0.7⋅0.9)+(0.7⋅0.2)=0.7⋅(0.7+0.9+0.2)
70+2.028=(70⋅2)+(70⋅0.02)+(70⋅0.008)
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Given f(x) and g(x) = f(x) + k, look at the graph below and determine the value of k.
k = ______
(No answer choices) Please explain well!
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g(x) is 3 units higher than f(x)
Since the graph is 3 units higher, the value of k must be 3.
Have an awesome day! :)
Answer:
3
Step-by-step explanation:
What is the distance between -7.5 and -15.3 on a number line
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The distance between points -7.5 and -15.3 on a number line is 7.8.
What is Number system?
A system of writing to express the number is called number system.
Given that;
The numbers on number line are -7.5 and -15.3.
Now, Distance between -7.5 and -15.3 can be calculated as;
= - 7.5 - (-15.3)
= - 7.5 + 15.3
= 7.8
Thus, The distance between points -7.5 and -15.3 on a number line is 7.8.
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Nick has fraction 1 over 2 cup of syrup. He uses fraction 1 over 6 cup of syrup to make a bowl of granola. Part A: How many bowls of granola can Nick make with fraction 1 over 2 cup of syrup? Part B: On your own paper, draw a fraction model that shows the total number of bowls of granola that Nick can make with fraction 1 over 2 cup of syrup. Make sure to label the model. Below, explain your model in detail to describe how this model visually shows the solution for Part A.
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Answer: There are 3 bowls of granola that Nick can make.
Step-by-step explanation:
Since we have given that
Part of syrup used by Nick = [tex]\dfrac{1}{2}[/tex]
Part of syrup used by Nick to make a bowl of granola = [tex]\dfrac{1}{6}[/tex]
So, Number of bowls would be
[tex]\dfrac{\dfrac{1}{2}}{\dfrac{1}{6}}\\\\=\dfrac{6}{2}\\\\=3[/tex]
Hence, there are 3 bowls of granola that Nick can make.
A student writes an incorrect step while checking if the sum of the measures of the two remote interior angles of triangle ABC below is equal to the measure of the exterior angle.
A triangle ABC is shown. The base of the triangle extends into a straight line. The angle formed between this straight line and the edge of the triangle is marked as p. The angle adjacent to p is marked as o, and the other two angles inside the triangle are marked as m and n.
Step 1: m∠m + m∠n + m∠o = 180 degrees (sum of angles of a triangle)
Step 2: m∠p − m∠o = 90 degrees (alternate interior angles)
Step 3: Therefore, m∠m + m∠n + m∠o = m∠o + m∠p
Step 4: So, m∠m + m∠n = m∠p
In which step did the student first make a mistake and how can it be corrected?
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Answer: Step 2; it should be m∠o + m∠p = 180 degrees (supplementary angles)
An online retailer charges $6.99 plus $0.55 per pound to ship electronics purchases.Write an equation to find how many pounds is a DVD player for which the shipping charge is $11.94?
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PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE Please help please
1.)The system of equations is graphed on the coordinate plane.
y=x−1y
−2x− 4
Enter the coordinates of the solution to the system of equations in the boxes.
(__,__)
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________________________________________
Note: By examining the point of intersection of the lines of the 2 graphs show in the "image attached", we can see that the point of intersection is at: "(-1, 2"); that is: "x = -1, y = 2" .
________________________________________
Answer:
Step-by-step explanation:
The correct answer is: (-1, -2)
this is how i got my answer: by examining the point of intersection of the lines of the 2 graphs show in the we can see that the point of intersection is at (-1, 2) Answer: x = -1, y = 2 ∀∈
The area of a rectangle is 117 square meters the width is 9 meters what is the length of the rectangle
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[tex]117 = x \times 9 \\ \\ x = 117 \div 9[/tex]
Jodys older brother is only three years less than twice Jodys age. If the sum of their ages is 30, then which of the following is the age of jodys brother? A)7 B)11 C)19 D)23
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that means that jody's older brother is 3 years less than twice jodys age.
Lets try all the answers
7*2= 14-3=11 Nope
11*2=22-3=19+11=30 YUP!
19*2=35-3=32 Nope
23*2=46-3=43 Nope
Your answer is b
Jody's older brother's age can be found using the equation x + 2x - 3 = 30 and solving for x. The answer is C) 19.
Explanation:To solve this problem, we can set up an equation using Jody's age and Jody's older brother's age. Let's let Jody's age be x. According to the problem, Jody's older brother is three years less than twice Jody's age, so his age is 2x - 3. The problem also tells us that the sum of their ages is 30, so we can write an equation: x + (2x - 3) = 30. Solving this equation will give us the age of Jody's older brother.
Combining like terms and solving the equation, we get 3x - 3 = 30. Adding 3 to both sides, we get 3x = 33. Dividing both sides by 3, we find that x = 11. Therefore, Jody's older brother's age is 2x - 3 = 2(11) - 3 = 22 - 3 = 19.
So, the correct answer is C) 19.
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PLEASE HELP 20 POINTS
Calculate the Average Time and Average Speed for each vehicle.
Car 1 Car 2
Trial 1 = 4.12 seconds 8.33 seconds
Trial 2 = 4.41 seconds 8.25 seconds
Trial 3 = 3.96 seconds 8.66 seconds
Average Time = ? ?
Distance = 2 meters 2 meters
Average Speed= ? ?
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The average time of Car 2 is 8.41 seconds
The average speed of Car 1 is 0.48m/s
The average speed of Car 2 is 0.24m/s
Factor the expression. 50k^3 – 40k^2 + 75k – 60
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I hope this helps :)
Answer:
ur final answer will be 5 x (2k^2+3) x (5k-4). its correct i just did the test
Step-by-step explanation:
Divide. Use partial quotients. 1056÷48
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y = -3x - 2
4y = -12x - 8
how many solutions does the system have?
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Final answer:
The system of equations y = -3x - 2 and 4y = -12x - 8 is dependent with an infinite number of solutions because both equations represent the same line.
Explanation:
The system of equations given is:
y = -3x - 2
4y = -12x - 8
If we examine the second equation, we can simplify it by dividing everything by 4, yielding:
y = -3x - 2
Both equations are now identical, which implies that they are the same line graphed on a coordinate plane. The system is considered dependent, and the number of solutions is infinite because every point on the line y = -3x - 2 is a solution to the system.
Write the point-slope form of the equation of the line with a slope of - 2 and an x-intercept of - 1. Include your work in your final answer.
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“I am thinking of a number such that 6 less than the product of 7 and this number is 85.” Which number is she thinking of?
A. 11
B. 13
C. 84
D. 637
100!!!!!!! POINTS PLEZ SHOW WORK
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let x = the number
7x - 6 =85
add 6 to each side
7x =91
divide each side by 7
x = 91 /7 = 13
Answer is B 13
Answer:
I agree with Music lover
Step-by-step explanation:
graph the solutions all real numbers that are greater than -8 and less than 8
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What are the coefficents
in 5a + 6b- 7c
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So they would be 5,6 and -7
A shoe store marks up its merch by 8%. What was the selling price of a pair of shoes whose wholesale price is $24.50?
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24.5+1.96=26.46$
1/4 0f 15? What is the answer
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Beth read 10 pages in a book stopping at the top of page a on what pages did she begin
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That’s the answer
Plz Helppppp and can u explain why ?
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[tex]2\times2\times2[/tex]
which, in this case, equals 8. On the other hand, when we're asked to take the cube root of a number, we're being asked to find out which number, when multiplied by itself 3 times, gives us the number under the root sign. In our last example, finding the cube root of 8 (∛8) gets us:
[tex] \sqrt[3]{8} =2[/tex]
since 2 x 2 x 2 = 8.
In your problem, we're being asked: "What number multiplied by itself gives us 64?" Or: ? x ? x ? = 64. Finding that answer takes some knowledge of the factors of 64. 64's prime factorization is [tex]2^6[/tex], or 2 x 2 x 2 x 2 x 2 x 2. If we pair up all of the twos, we can rewrite this product as
[tex](2\times2)\times(2\times2)\times(2\times2)[/tex]
or
[tex]4\times4\times4=4^3[/tex]
since 4, when multiplied by itself 3 times, gives us 64, we know it must be our answer.