The equation could be used to determine x, the number of seconds, when the two tanks have the same amount of water is 120-1/2x = 100-1/4x
What is meant by equation?There are many different ways to define an equation. Algebraically speaking, an equation is a statement that shows the equality of two mathematical expressions.
Various kinds of equations: Algebraic math equations include the following.
Equation with Lines;
More than one variable may be present in a linear equation. An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation.
Equation in QuadratureThis equation is of second order. At least one of the variables in a quadratic equation needs to be raised to exponent 2.
Cubic FormulaA third-order equation is this one. At least one of the variables in cubic equations needs to be increased to exponent 2
Given ,
tank 1 = 120 - 1/2x
tank 2 =100 - 1/4x
Therefore 120-1/2x = 100-1/4x
So we can conclude that the equation could be used to determine x, the number of seconds, when the two tanks have the same amount of water is 120-1/2x = 100-1/4x
The complete question is: A tank has 120 gallons of water and is being drained at a rate of 12 gallon each second. Another tank has 100 gallons of water and is being drained at a rate of 14 gallon each second. Which equation could be used to determine x, the number of seconds, when the two tanks have the same amount of water? Multiple choice question.
120x + 1/2 = 100x + 1/4
120 + 1/2x = 100 + 1/4x
120x - 1/2 = 100x - 1/4
120 - 1/2x = 100 - 1/4x
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A salesperson works 40 hours per week at a job where has two options for being paid. Option A is an hourly wage of $20. Option B is a commission rate of 10% on weekly sales. How much does need to sell this week to earn the same amount with the two options?
Please help..
Answer:
$8,000
Step-by-step explanation:
40x20= .1s
8000=s
First option, the salesperson will earn 40*20=800 dollars.
For second option, the person will earn the amount he sells/10.
For them to be equal the second salesperson have to sell 800*10=8000 dollars of items to earn that as much money as the first salesperson.
What is the product of the complex numbers below?
(2 - 3i)(1 + 7i)
A)-19+11i
B) 23-17i
C) -19-17i
D) 23+11i
Answer:
23+11i
Step-by-step explanation:
took the test :)
9 times a number is the sum of the number and 56.
Translate the statement to equations
Answer:
9x = x + 56
Step-by-step explanation:
if xsqured +y squred =16, xy=10 find the value of x+y using bionomial expansion
Answer:
x+y=6Step-by-step explanation:
to understand thisyou need to know about:algebraPEMDAStips and formulas:x²+y²=(x+y)²-2xylet's solve:according to the question:
(x+y)²-2xy=16substitute the value of xy:(x+y)²-2.10=16simplify multiplication:(x+y)²-20=16add 20 to both sides:(x+y)²-20+20=16+20=>(x+y)²=36[tex] \sf squre \: root \: both \: sides : \\ \sqrt{ (x + y {)}^{2}} = \sqrt{36} \\ \therefore x + y = 6[/tex]Re-write the expression in the rational exponent form
Answer:
[tex]11^{\frac{1}{2} }[/tex]
Step-by-step explanation:
The rational exponent form is as the pictures show. (The first one just shows random examples).
Hope it helps!
The chart below shows the rabbit and fox populations in Boxerville over the last year. Of the choices below, in which month were the populations of rabbits and foxes closest to being equal?
A. November
B. August
C. October
D. September
HELP PLEASE IM STUCK
1. Casey is filling a box with unit cubes. She can place 3 along the width, and 4 along the length. She can also stack 6 on top of each other inside the box. How many unit cubes can fit inside the box?
Answer:
72 units^3
Step-by-step explanation:
Finding the volume of a cube is as simple as length × width × height
3 × 4 × 6
72 units^3
An 18-feet ladder is leaning against the side of a building. The angle between the ladder and the ground is 30°.
How high up on the building, from the ground, is the top of the ladder?
9514 1404 393
Answer:
9 feet
Step-by-step explanation:
The sine relation applies.
Sin = Opposite/Hypotenuse
sin(30°) = height/(18 ft)
height = (18 ft)sin(30°) = (18 ft)(1/2)
height = 9 ft
The ladder extends 9 feet up the side of the building.
The three squares below join together to form a right triangle. The area and the perimeter for two of the squares is shown. Find the side length of the largest square.
Answer:
YES
Step-by-step explanation:
by dividing perimeter by 4, we
get the side lengths of 12, 35 and 37.
122 + 352 = 372.
The side length of the largest square is 15 inches.
From the given figure, area of one of the square is 81 square inches and the perimeter of another square is 48 inches.
What is the perimeter?The perimeter of a shape is defined as the total distance around the shape. It is the length of the outline or boundary of any two-dimensional geometric shape. The perimeter of different figures can be equal in measure depending upon the dimensions.
We know that, the area of a square = a²
Here, a²=81 square inches
⇒ a=9 inches
The perimeter of square = 4s
⇒ 4s=48
⇒ s = 12 inches
In the given figure, let the hypotenuse of triangle be x
Using Pythagoras theorem, we get
Now, x²=a²+s²
⇒ x²=9²+12²
= 81+144
= 225
So, x=15 inches
Therefore, the side length of the largest square is 15 inches.
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An item originally priced at $160 was discounted to $84. What percent was the discount?
Answer:
the discount was put down to 48%
Answer:
49%
Step-by-step explanation:
I am too tired to do the step by step explanation
There are about 16 kilometres in 10 miles About how many kilometres are in 5 miles?
A: 3 kilometres
B: 8 kilometres
C: 32 kilometres
D: 80 kilometres?
Answer:
167
Step-by-step explanation:
89-g8+16
(1,-2)(5,4) find the mid point
Answer:
Step-by-step explanation:
Given points A ( 1 , - 2) and B ( 5 , 4)
Mid point of AB is
= ( ( x1 +x2)/ 2 , ( y1+ y2)/ 2 )
= ( ( 1 + 5)/2 , ( - 2 + 4)/2 )
= ( 3 , 1 )
hope it helps :)
For brainiest:):):):):):)):)
Answer:
Step-by-step explanation:
1st one is 28.27 cm and 2nd one is 22 in.
Hope i helped.
A square has a side length of 6 centimeters. What is the perimeter of the square?
Answer:
Perimeter of square = 4 x side length
4 x 6 = 24cm^2
Answer:
It’s 24
Step-by-step explanation:
6*4=24
It’s that simple
Make me brainliest pls
answerr to 4p+7p+3+7p+3
Answer:
18p+6
Step-by-step explanation:
You purchase 5 pounds of apples and 2 pounds of oranges for $9. Your friends purchases 5 pounds of apples and 6 pounds of oranges for $17. What is the price per pound for each fruit?
Answer:
One pound of apple = $1
One pound of Orange = $2
Step-by-step explanation:
Plz mark brainliest thanks
Answer:
Apples $1
oranges $2
Step-by-step explanation:
15 Brainly Points:
The Scenario:
The Powerball Lottery jackpot reaches 1.5 billion dollars, and Jeffrey decides to spend some money each week on lottery tickets. He puts some money in a new bank account and withdrawals the same amount once a week to try his luck at winning the jackpot. After three straight weeks of no luck, Jeffrey has $205 left in his account. After twelve total weeks, he still hasn’t won a thing and has $160 left to spend.
Karen, on the other hand, knows the odds of winning are almost impossible, and decides to start a savings account instead at the same time as Jeffrey. Karen consistently deposits $7 each week into her account, and after seven weeks has a total savings of $89. Unfortunately, Karen’s account does not earn any interest due to the extremely low interest rate.
a) Write an equation that models how much money is in Jeffrey’s account at any given week. Show all work in the space below. You can type your work, or insert a picture of hand-written work.
b) Write an equation that models how much money is in Karen’s account at any given week. Show all work in the space below. You can type your work, or insert a picture of hand-written work
c) Show algebraically when Jeffrey and Karen will have the same amount of money in their accounts. Show all steps.
d) Show algebraically when Jeffrey will run out of money, assuming he never actually wins anything. Show all steps.
The lunch choices last Friday were mushroom or pepperoni pizza. The cafeteria made 10
pizzas in all, 4 of which were mushroom pizzas. What percentage of the pizzas were
mushroom pizzas?
Answer:
40%
Step-by-step explanation:
4/10=.40
.40=40% as a percentage
A grocery store owner buys a certain brand of crackers from a supplier at $0.95 per box. She sells it to her customers at a markup of 120%. How much does she charge for each box of crackers?
Answer:
Selling price= $1.14
Step-by-step explanation:
Giving the following information:
Purchase cost= $0.95
Mark up percentage= 120% = 1.2
Selling price= $1.14
Selling price= purchase cost * mark up percentage
Selling price= 0.95 * 1.2
Selling price= $1.14
Find angles A, B, C, D, & E.
Answer:
Step-by-step explanation:
B = 35 {Alternate interior angles}
C = 75 {Corresponding angles}
D + 75 = 180 {Linear pair}
D = 180 - 75
D = 105
A = C {Corresponding angles}
A = 75
E = A {Alternate interior angles}
E = 75
Addison earns a fixed hourly rate working as a sales clerk. If she works on a holiday, she earns a different hourly rate than she earns on a regular day. In one week, she earns $188.50 by working 5 hours on a holiday and 16 hours during regular days. A different week, she earns $254.00 by working 8 hours on a holiday and 20 hours during regular days.
Answer:
10.50
Step-by-step explanation:
Find the missing angle measures?
Answer:
x)45
y)45
z)135
Step-by-step explanation:
Put the following equation of a line into slope-intercept form, simplifying all fractions. y - 3x = -1
Answer:
y=3x-1
Step-by-step explanation:
y-3x=-1
y-3x+3x=-1+3x
y=3x-1
Answer:
y=3x-1
Step-by-step explanation:
y-3x=-1
y=3x+(-1)
y=3x-1
5.Regarding the equations below. What is the value of x?
5x + 2y = 4
x – 3y = –23
Answer:
x=−2
y=7
Step-by-step explanation:
5x+2y=4
x−3y=−23
In order to solve by elimination, coefficients of one of the variables must be the same in both equations so that the variable will cancel out when one equation is subtracted from the other.
5x+2y=4,x−3y=−23
To make 5x and x equal, multiply all terms on each side of the first equation by 1 and all terms on each side of the second by 5.
5x+2y=4,5x+5(−3)y=5(−23)
Simplify.
5x+2y=4,5x−15y=−115
Subtract 5x−15y=−115 from 5x+2y=4 by subtracting like terms on each side of the equal sign.
5x−5x+2y+15y=4+115
Add 5x to −5x. Terms 5x and −5x cancel out, leaving an equation with only one variable that can be solved.
2y+15y=4+115
Add 2y to 15y.
17y=4+115
Add 4 to 115.
17y=119
Divide both sides by 17.
y=7
Substitute 7 for y in x−3y=−23. Because the resulting equation contains only one variable, you can solve for x directly.
x−3×7=−23
Multiply −3 times 7.
x−21=−23
Add 21 to both sides of the equation.
x=−2
The system is now solved.
x=−2,y=7
Graph if needed:
If the perimeter of square X is triple that of square Y, then the are of X is how many times the area of Y?
Answer:3 more than y i think srry if im wrong
Step-by-step explanation:
WILL GIVE BRAINLIEST FASTTTTT
Factor x^2−4x+4
(x−4)^2
(x+2)^2
(x+4)^2
(x−2)^2
Answer: (x−2)(x−2)
The middle number is -4 and the last number is 4.
Factoring means we want something like
(x+_)(x+_)
Which numbers go in the blanks?
We need two numbers that...
Add together to get -4
Multiply together to get 4
Can you think of the two numbers?
Try -2 and -2:
-2+-2 = -4
-2*-2 = 4
Fill in the blanks in
(x+_)(x+_)
with -2 and -2 to get...
(x-2)(x-2)
Answer:
(x−2)(x−2)
so the answer is D.
please help me!!!!! asap
A is correct.
5^2=25
2^3=8
3^2=9
25+8x9
What is the greatest factor of 48x²and 32x³
Answer:
Step-by-step explanation:
Write the prime factors making up the two expressions
48x^2: 2 * 2 * 2 * 2 * 3 * x * x
32x^3: 2 * 2 * 2 * 2 * 2 * x * x * x
Underline what is common to both
The highest common factor is 2 * 2 * 2 * 2 * x * x
The highest common factor is 16x^2
This may look very simplistic, but try a question like this
5397691 and 3271021
The method I've shown you is likely the only way you could factor these two monsters and they are relatively small numbers.
6+1/5x=11.. Solve for x... Help?
Answer:
x = 25
Step-by-step explanation:
1/5x = 11 - 6
1/5x = 5
x = 5 / (1/5)
x = 5 x 5
x = 25
Hope that helps!
Answer: x=25
Step-by-step explanation:
Find the value of x so that the function has the given value.
9(x) = x-9; g(x) = 3
Answer:
-15
Step-by-step explanation: