Answer:
v=520 -10t
Step-by-step explanation:
the rate of decrease is given a variable to calculate the rate of change. v is represented by 520 - the number of minutes.
V = 520 - 10t is the representation of the decrement of the volume of the fish tank.
How to form an equation?Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.
In other words, an equation is a set of variables that are constrained through a situation or case.
Given that volume of fish tank = 520 inch³
Now since volume is decreasing at a rate of 10 inche³/minute
Decrement of t minutes = 10t
So,
New volume = Original volume - decrement of t minutes
V = 520 - 10t
Hence "v = 520 - 10t is the representation of the decrement of the volume of the fish tank".
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What is 8/12k+3/12k=22?
Greetings from Brasil...
let's multiply both the 1st and 2nd members by 12k:
(8/12K) + (3/12K) = 22 x12K
8 + 3 = 264K
K = 11/264a store offers a 15% discount on all items in the storage on a cell All Star employee gets in the aditional 10% employee discount in the equation below C represents the cost of an item for an employee including tax and x represents the original price of the item
C=0.765x+0.06(0.765×)
Chris is an employee at the store. He plans to buy a coat during the sale. The price of the coat before the discount is 100$. How much will Chris pay for the coat during the sale? Remember,do not include the $ symbol.
Answer:
$81.09
Step-by-step explanation:
C=0.765(100)+0.06(0.765x100)
C=0.765(100)+0.06x76.5
C=0.765(100)+4.59
C=76.5+4.59
C=81.09
Mason loves collecting sea glass from the beach. He recorded the weight of each jar full of sea glass. If he decided to distribute the sea glass equally among the jars, how much would each jar weigh? pounds (Write mixed numbers as x y/z.)
The missing weights are:
2 2 2 1 11 12 12 2 24 22 24 3 37 22
Answer:
[tex]Average = 12\frac{4}{7} \ lb[/tex]
Step-by-step explanation:
Given
Weight of sea glass
To solve this question, we have to calculate the mean of the weight of the sea glass as follows;
[tex]Average = \frac{\sum x}{n}[/tex]
Where n = number of sea glass
[tex]n = 14[/tex]
So:
[tex]Average = \frac{\sum x}{n}[/tex] becomes
[tex]Average = \frac{2 +2 + 2 + 1 + 11 +12 +12 +2 +24+22 +24 +3 +37+ 22}{14}[/tex]
[tex]Average = \frac{176}{14}[/tex]
[tex]Average = 12\frac{8}{14}[/tex]
Simplify fraction
[tex]Average = 12\frac{4}{7}[/tex]
Hence; the weight of the sea glass would be [tex]12\frac{4}{7}\ lb[/tex] when evenly distributed...
Solve: 8 [-4 (3-2)] *
Answer:
32
Step-by-step explanation:
simplify
8 [-4 (3-2)]
multiply
8 [-4 (1)]
take absolute value: four becomes positive
8 [-4]
solve
8*4
32
Answer:
i believe its -32
Step-by-step explanation:
Well you start in the parentheses and you get 1 and then you multiply -4 x 1 and you get -4 and then multiply that by 8 and get -32
hope this helps
What decimal is equivalent to 45/54
Answer:
0.83
Step-by-step explanation:
[tex] \frac{45}{54} \\ [/tex]
Use 3 to divide through
[tex] \frac{5}{6 } = 0.8333333[/tex]
How many dots would be in the 7th picture ?
Answer: 28 dots
Step-by-step explanation: In this pattern,
we can see the the first figure is just 1 dot.
The second figure has a new row on the bottom with 2 dots.
The third figure has a new row on the bottom with 3 dots
and the fourth figure has a new row on the bottom with 4 dots.
So continuing with this pattern,
the next figure will have a new row with 5 dots,
the next will have a new row with 6 dots,
and the next will have a new row with 7 dots.
So in the 7th picture, we will have 7 + 6 + 5 + 4 + 3 + 2 + 1 dots.
This simplifies to 28 dots.
Take a look below.
Pleaseee help I need fast and right
Answer: e. x≠2 f. x≥-1/2
Step-by-step explanation:
Domain is basically the x value of a function.
----------------------------------------------------------------
Question e.
g(x)=5/(2-x)
First, keep in mind, the denominator of a fraction can not be zero or else it will be undefined.
Since x is in the denominator: 2-x≠0
2-x≠0
x≠2 Yes, this is the domain----------------------------------------------------------------
Question f
h(x)=√(2x+1)
For a standard square root, the value inside can't b negative
So 2x+1≥0
2x≥-1
x≥-1/2 Yes, this is the domainHope this helps!! :)
Please let me know if you have any question
h(t) = 4t+20 What is h(_____)=4?
Answer: -4
Step-by-step explanation:
For the function 4t + 20, the value of t is -4.
What is function?Function is a combination of different types of variable and constants in which for the different values of x the value of function y is unique.
The given value of function h(t) = 4t + 20.
To find the value of t when h(t) = 4.
Substitute, h(t) 4.
4t + 20 = 4
4t = 4 - 20
4t = - 16
t = -4.
The required value of t is -4.
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As of 2016 New York City has a population of 8.55 million and a land area of 300 square miles. Manhattan is a section of New York City that has a land area of 23 square miles and a population of 1.64 million.
How much greater is the population density of Manhattan than that of New York City?
Answer:
42,804.35 million people per miles
Step-by-step explanation:
Population density = Number of people / Land area
New York
Population = 8.55 million
Land area = 300 square miles
Manhattan
Population = 1.64 million
Land Area = 23 Square miles
Population density of New York = Number of people / Land area
= 8.55 million / 300 Square miles
= 8,550,000 / 300
= 28,500 people per square miles
Population density of Manhattan = Number of people / Land area
= 1.64 million / 23 miles
= 1,640,000 / 23
= 71,304.35 million people per square miles
Difference between Manhattan and new York City = 71,304.35 - 28,500
= 42,804.35 million people per miles
Therefore,
The population density of Manhattan is greater than that of New York City by 42,804.35 million people per miles
The difference between the population densities of Manhattan and New York is 42,804 people per square mile.
The density of New York is:
= Population / Area
= 8,550,000 / 300
= 28,500 people per square mile
Density of Manhattan:
= 1,640,000 / 23
= 71,304 people per square mile
The difference is:
= 71,304 - 28,500
= 42,804 people per square mile
In conclusion, Manhattan's population density is 42,804 people per square mile higher than New York City's.
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What shape would you get if you cut off one of the corners of a rectangular prism?
Answer:
Different cuts can produce cross sections that are congruent to the base, a side, or even triangles if the cut is through the corner of a prism. A slice that is not parallel to the base and contains points from the four vertical edges of the prism reveals a parallelogram.
Step-by-step explanation:
hope this helps
Answer:
An irregular pentagonal prism
In the figure below, the measure of
True
False
Answer:
The answer to this is true because they are open at the same angle
Ethan buys dough to make fresh bread for his sandwich shop. He pays $11.55 for 25 ounces. What is Ethan's price per ounce of dough?
The cost of dough per ounce is $0.462.
How to calculate the cost per item?In order to calculate the cost of one item, divide the total cost of items by the total number of items.
It is also called the unit rate of that item.
The cost for 25 ounce dough of $11.55.
The price per ounce is equivalent to the unit rate given as,
Unit rate = Total cost ÷ Amount of dough
= 11.55 ÷ 25
= 0.462
Hence, Ethan's price per ounce of dough is $0.462.
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A rectangle has a length that is 8 less than its width, w. The perimeter is 52. Which equation can be used to determine its width?
What two properties are used in the following solution to 4b - 3 17?
4b-3 = 17
45-3+3 = 17+ 3
4b = 20
46 20
4-4
b = 5
A Addition Property of Equality and Division Property of Equality
B Subtraction Property of Equality and Addition Property of Equality
C Multiplication Property of Equality and Distributive Property
D Subtraction Property of Equality and Zero Product Property
What common error(s) did this student make? What is the correct solution for x? Please help
Answer:
10x - 5(x - 1) = 20
10x - 5x + 5 = 20
5x + 5 = 20
5x = 20 - 5
5x = 15
x = 15/5
x = 3
Step-by-step explanation:
Answer:
x = 3
Step-by-step explanation:
The first error was in the 2nd line: -5(x - 1) is -5x + 5, not -5x - 5 = 20.
Continuing the solution:
10x - 5x + 5 = 20
Combining like terms, we get
5x = 15, and so x = 3
Question 1
Solve the equation. Enter only the number into the box below,
22
18+ X
Answer:
no cemma cuhydhfhhdhdhd
if one root of the equation is 4x^2- 2x+p-4 be the reciprocal of other. then find the value of p
Answer:
p = 8
Step-by-step explanation:
Let one root of the eqn. be alpha . Other root is 1/alpha .
We know that product of both roots of an quadratic eqn. is c/a where "c" is the co-efficient of the constant & "a" is the co-efficient of x^2.
Here "c" is p-4 & "a" is 4. And the product of roots is 1 ( ∵ prdouct of a number and its reciprocal is 1 )
[tex]\frac{c}{a} = 1\\=> \frac{p - 4}{4} = 1\\=> p - 4 = 4\\=> p = 4 + 4 = 8[/tex]
F(x-1) = (x-1)^2 + 3(x-1) - 2
Answer:
F(x−1)=x2+x−4
Explanation:
Substitute the given value into the function and evaluate.
You install 404 feet of fencing along the perimeter of a rectangular yard.
The width of the yard is 100 feet. What is the length of the yard?
Answer:
The length of the yard is 102
Step-by-step explanation:
If the width of the yard is 100 feet, and it's a rectangular, that means the other side of the rectangle is also equal to 100 feet. So so far we have 200 feet of the yard covered. Then we do 404-200=204. So the combined length of both the sides is 204. Since they both equal the same length, we can then do 204/2 to get 102. So one side length is 102 and the L, W, L, W of the rectangle is 102, 100, 102, 100. In other words, the rectangle is 102 by 100.
Answer:
Length of the yard = 102 ft
Step-by-step explanation:
Perimeter of the yard P = 404 ft
Width of the yard W = 100 ft
Find Length of the yard L = ?
Perimeter of a rectangular = 2L + 2W
404 = 2L + 2(100)
2L = 404 - 200
2L = 204
L = 204 / 2
L = 102 ft
Liam's breakfast was an egg and cheese biscuit with a carton of milk. He spent a total of $5.65. Finn spent $7.65 on an egg and cheese biscuit and two cartons of milk. How much was an egg and cheese biscuit?
Answer:
An egg and cheese biscuit was $3.65.
Step-by-step explanation:
Liam's breakfast was:
[tex] P = E + C + M [/tex]
Where:
P: total price
E: egg
C: cheese biscuit
M: carton of milk
[tex] P = E + C + M [/tex]
[tex] 5.65 = E + C + M [/tex] (1)
Now, Finn's breakfast was:
[tex] P = E + C + 2*M [/tex]
[tex] 7.65 = E + C + 2*M [/tex] (2)
By subtracting equation (2) from (1) we have:
[tex] 7.65 - 5.65 = 2M - M [/tex]
[tex] M = 2 [/tex]
Hence, the price of a carton of milk is $2, so by entering this value into equation (1) we can find the price of an egg and cheese biscuit:
[tex] 5.65 = E + C + M [/tex]
[tex] 5.65 - 2 = E + C [/tex]
[tex] E + C = 3.65 [/tex]
Therefore, an egg and cheese biscuit was $3.65.
I hope it helps you!
Triangle ABC is shown below. Triangle A B C is shown. The length of side A B is 2 x, the length of side B C is 4 x minus 10, and the length of side A C is 3 x minus 7. Angle A B C and B C A are congruent. What is the length of line segment AC? 7 9 14 18
The length of line segment AC of the given triangle is; 14
How to find the length of the line segment?Since Angle ABC and BCA are congruent, it means that they are equal.
An isosceles triangle is a triangle that has two equal sides and two equal base angles.
Now, since Angle ABC and BCA are equal, it means that the triangle is an isosceles triangle. It also means that sides AC and AB are equal. The expression becomes;
3x - 7 = 2x
3x - 2x = 7
x = 7
To determine the length of line segment AC. We will substitute x = 7 into 3x - 7. It becomes
(3 × 7) - 7
= 21 - 7 = 14
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The area of a rectangle is represented by the formula A = lw, where I is the length
and w is the width. Solve the formula(equation) for width(w). *
Answer:
w= A / l
Step-by-step explanation:
A = lw
Where,
A= Area of a rectangle
l= Length of a rectangle
w= width of a rectangle
Area of a rectangle = length × width
Solve the formula(equation) for width(w).
A= lw
Divide both sides by l
A / l = lw / l
A / l = w
Width = Area of the rectangle / length of the rectangle
Example: Find the width of the rectangle with length of 6 inches and Area of 12 square inches.
A= 12 square inches
l= 6 inches
w= x inches
A= lw
w= A / l
= 12 / 6
= 2
w = 2 inches
Find the zeros of the function.
Enter the solutions from least to greatest.
h(x) = (-4x – 3)(x – 3)
lesser x =
greater x =
Answer:
x = -3/4 or x = 3
Step-by-step explanation:
Solve for x over the real numbers:
(-4 x - 3) (x - 3) = 0
Hint: | Find the roots of each term in the product separately.
Split into two equations:
-4 x - 3 = 0 or x - 3 = 0
Hint: | Look at the first equation: Divide both sides by the sign of the leading coefficient of -4 x - 3.
Multiply both sides by -1:
4 x + 3 = 0 or x - 3 = 0
Hint: | Isolate terms with x to the left hand side.
Subtract 3 from both sides:
4 x = -3 or x - 3 = 0
Hint: | Solve for x.
Divide both sides by 4:
x = -3/4 or x - 3 = 0
Hint: | Look at the second equation: Solve for x.
Add 3 to both sides:
Answer: x = -3/4 or x = 3
Answer:
lesser x = -3/4
greater x =3
Step-by-step explanation:
h(x) = (-4x – 3)(x – 3)
Set the function equal to zero to find the zeros
0 = (-4x – 3)(x – 3)
Using the zero product property
0 = (-4x – 3) 0=(x – 3)
Solve each equation
3 = -4x 3 =x
-3/4=x 3 =x
lesser x = -3/4
greater x =3
Please help! x+25=100
I am a number with 45 tens and 3 ones. What number am I
Answer:
453
Step-by-step explanation:
At 4:41 P.M., Olivia started to make orange juice. She got out twelve oranges, juiced them, and drank the juice. When she finished it was 5:35 P.M. How long did it take to make and drink the juice? hours minutes
Answer:
54 Minutes
Step-by-step explanation:
subtract 35 from 41=6SUBTRACT 6 minutes from a hourthat gives you 54 minutesis 7/18 rational or irrational
7/18 is a rational number. A rational number is one that may be expressed as a fraction or as a component of a whole number.
What is a rational number?
Any number that can be stated as a fraction or as a portion of an entire number is considered rational.
The given number in the problem is;
7/18
The number is in the form of p/q and the denominator value is greater than the numerator in fraction form, so that the given number is a rational number.
Hence,7/18 is a rational number.
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5/7 multiplied by 35
Answer:
25
Step-by-step explanation:
5 / 7 * 35
Cancel 35 by 7 since 7 * 5 = 35
Therefore, you get
5 * 5 = 25
Answer:
[tex] \frac{5}{7} \times 35[/tex]
[tex]divide \: the \: 7 \: from \: 35[/tex]
[tex]you \: will \: get \: 5[/tex]
[tex]now \: 5 \times 5 = 25[/tex]
ANSWER = 25
Hope this is correct and helpful
HAVE A GOOD DAY!
A polnt represents:
line segment
a location
O intersection of a plane
none of the above
A point represents a location. A coordinate on a plane .
The intersection of two planes is a line.
Serenity's monthly bank statement showed the following deposits and withdrawals:
-−$66.85, -−$117.44, $18.84, -−$104.13, $91.23
If Serenity's balance in the account was $45.71 at the beginning of the month, what was the account balance at the end of the month?
Answer:
22.45
Step-by-step explanation:
Answer: The correct answer is -132.64