Write an expression for the following statement(s), and then list each operation
present (make sure you define any variables used).
A record company earns 25% of what a band collects in total sales. That
percentage is deducted from the band’s total sale
A container holds 7 quarts of water. How much is this in gallons? Write your answer as a whole number or a mixed number in simplest form. Include the correct unit in your answer.
State your first and last name. use the letters in your first name and last name to write an equation of a line in slope-intercept form, y=mx + b as follows:
Please help quickly first to answer gets bainliest
Which expression uses the greatest common factor and the distributive property to rewrite the sum 32 + 80?
A.16(2) + 80
B. 2(16 + 80)
C.16(2 + 5)
D.8(4 + 10)
Ed Callahan Is an executive at a local bank his annual salary is $75,530 if he receive a paycheck every two weeks what is his biweekly salary
His annual salary is $75,530. If Ed receives a paycheck every two weeks, his biweekly salary is $2905.
You will be paid every 2 weeks so is beginning on Sunday and ending on the second Saturday of the pay period. So you will be paid every two weeks, giving you a total 26 .
First you divide 75530 by 26 since its biweekly and that is how you get your answer.
a diver is swimming 11 meters below the surface. The diver sees a shark 19 meters below him. how many meters from the surface is the shark?
In this problem, y = 1/(1 + c1e−x) is a one-parameter family of solutions of the first-order de y' = y − y2. find a solution of the first-order ivp consisting of this differential equation and the given initial condition. y(0) = − 1 8
Mr. Abernathy bought a selection of wrenches for his shop and paid $78. He bought the same number of $1.50 and $2.50 wrenches, and half of that number of $4 wrenches. The number of $3 wrenches is one more than the number of $4 wrenches. How many of each did he buy?
In this algebraic word problem, equations were set up based on the prices and relationships between the numbers of wrenches bought, leading to the discovery that Mr. Abernathy purchased 12 wrenches each at $1.50 and $2.50, 6 wrenches at $4, and 7 wrenches at $3 to make a total of $78.
Mr. Abernathy's allocation of his $78 budget on wrenches can be formulated as an algebraic word problem where we define the number of wrenches bought at each price point and the total cost. Let us denote x as the number of $1.50 wrenches and also the number of $2.50 wrenches, so the number of $4 wrenches is x/2 since it is half of that number.
The number of $3 wrenches is x/2 + 1 because it is one more than the number of $4 wrenches. The total amount spent can be expressed as the sum of the products of the numbers of wrenches and their respective prices, which must equal $78.
The equation for the total amount spent on wrenches is therefore:
1.50x + 2.50x + 4(x/2) + 3(x/2 + 1) = 78
Solving this equation for x gives us the number of $1.50 and $2.50 wrenches, and then we can infer the quantities of the $4 and $3 wrenches.
After simplifying the equation, we solve for x, and by plugging x back into the previous expressions, we find out that Mr. Abernathy bought 12 wrenches at $1.50 each, 12 wrenches at $2.50 each, 6 wrenches at $4 each, and 7 wrenches at $3 each.
how many times larger is the value of the 5 in 95,284 than the value 5 in 8,521
Misty took a multiple choice test in science that had 50 questions. If the relationship between the number she got correct and the number she got incorrect is 7:3, and she got 9 incorrect, how many did she get correct?
Sierra has a total of 61 dimes and quarters in her piggybank. She has 3 more quarters than dimes. The coins have a total value $10.90. How many dimes and how many quarters does she have? [hint: use the decimal values of the c coins to write an equation.]
Is (1,5) a solution to the equation y=x-2
Ruben bought six new books for his collection. This increased his collection by 12%. How many books did he have before his purchases?
20. Let x represent the amount of books he had:
x + 6 = 1.12x
Subtract x from both sides:
6 = 0.12x
Divide both sides by 0.12; x = 50
28. $6 + 0.025*$6 = $6 + $0.15 = $6.15
The expression 4.95+0.07x models A household monthly long distance charges where x represents the number of minutes of long-distance calls during the month what are the monthly charges for each number of long distance minutes
The expression provided models the monthly long distance telephone charges, with a fixed fee of $4.95 plus $0.07 per minute of call time. To determine the monthly charge, multiply the number of minutes by $0.07 and add the result to the base charge of $4.95.
The given expression 4.95 + 0.07x represents a model for calculating a household's monthly long distance telephone charges, where x is the number of minutes of long-distance calls. To find the monthly charges for any number of minutes (x), we simply plug in the value of x and calculate the total cost.
If a household uses 0 minutes, the cost would be $4.95 (since 4.95 + 0.07(0) = 4.95).For 100 minutes of use, the cost would be $4.95 + (0.07 x 100) = $4.95 + $7.00 = $11.95.The formula incorporates a fixed fee of $4.95, which we can see as the base charge regardless of usage, plus a variable component that depends on the number of minutes used (0.07 times the number of minutes).
the sum of two numbers is 101. if there times the smaller number is subtracted from the larger number the result is 9. find the two numbers
A new extended-life light bulb has an average service life of 750 hours, with a standard deviation of 50 hours. if the service life of these light bulbs approximates a normal distribution, about what percent of the distribution will be between 600 hours and 900 hours? 95% 68% 34% 99.7%
Approximately 99.7% of the light bulbs are expected to last between 600 and 900 hours, according to the empirical rule of normal distributions, as these values fall within +/- 3 standard deviations from the mean.
To determine what percent of the distribution of light bulbs will have a service life between 600 and 900 hours, we employ the empirical rule for normal distributions. If we know the mean (750 hours) and standard deviation (50 hours), we can calculate the number of standard deviations each of these values are from the mean:
(600 - 750) / 50 = -3 standard deviations (SD)
(900 - 750) / 50 = 3 standard deviations (SD)
According to the empirical rule (68-95-99.7 rule), approximately:
68% of the data falls within "+/- 1 SD"
95% of the data falls within "+/- 2 SD"
99.7% of the data falls within "+/- 3 SD"
Since 600 hours and 900 hours are three standard deviations away from the mean on either side, the percentage of light bulbs expected to last between these two values would be approximately 99.7%.
The temperature changed from 5C at 6 p.m. to -2C at midnight. How much did the temperature decrease?
from 5 to 0 is a 5 degree change
then from 0 to -2 is a 2 degree change
5+2 = 7 degree change overall
rewrite vertically,then add
63,594+98,697+59,835
Round 9.77 to the nearest tenth
Can somebody solve please?
When a polygon reflects across the y axis ,how do the coordinates of the points change
What is the factorization of 49b2 − 81
on the quiz, i got
B. (7b – 9)(7b +9)
I just finished the edge quiz for my algebra class.
I got a 100, so this is the correct answer.
If you stand on a ship in a calm sea, then your height x (in feet) above sea level is related to the farthest distance y (in miles) that you can see by the equation: y=sqrt (1.5x+(x/5280)^2) how high up do you have to be to be able to see 10mi?
Final answer:
To see 10 miles into the distance, one must be approximately 593.4 feet above sea level. This is calculated by substituting y = 10 into the given formula and solving for x.
Explanation:
The student's question involves finding how high above sea level they must be to see a distance of 10 miles. We begin with the equation given:
y = sqrt(1.5x + (x/5280)^2)
We need to solve this equation for x when y is 10 miles. First, we substitute 10 for y and square both sides of the equation to eliminate the square root:
10^2 = 1.5x + (x/5280)^2100 = 1.5x + x^2/(5280^2)Multiply through by 5280^2 to simplify:
100(5280^2) = 1.5x(5280^2) + x^2100(5280^2) = 7920x^2 + x^2100(5280^2) = 7921x^2Now, we solve for x:
x^2 = 100(5280^2) / 7921x = sqrt(100(5280^2) / 7921)x ≈ sqrt(2787840000 / 7921)x ≈ sqrt(352000)x ≈ 593.4 feetTherefore, a person needs to be approximately 593.4 feet above sea level to see 10 miles into the distance.
What are the necessary criteria for a line to be perpendicular to the given line and have the same y-intercept?
Answer:
The slope is -3/2 and contains the point (0, −2). Which is b.
Step-by-step explanation:
(-3,-4) (3, 0)
slope = (0 +4) / (3 + 3) = 4/6 = 2/3
perpendicular so slope = -3/2
line on graph
y = mx + b
0 = 2/3 (3) + b
0 = 2+ b
b = -2
y intercept (0,-2)
Determine which statement is true about the graph of a function
Need help with math problem
The temperature of a lake drops by the same amount each day for 10 days. The temperature drops by a total of 5 degrees.
Drag the numbers to form the equation that represents the change in the lake's temperature each day.
( ? ) ( ? ) = ( ? )
5, -5, 10, -10, 1/2, -1/2, 1/10, -1/10
Thanks
HINT: THE ANSWER IS NOT (10), (-1/2)= (-5)
Solve for x: 2|2x − 2| + 4 = 20.
x = 5, x = −3
x = 5, x = −5
x = 3, x = −3
x = −5, x = 3
Find the values of x on the curve y = cos x 2 + sin x at which the tangent is horizontal. (let n be an integer. enter your answers as a comma-separated list.)
To find the values of x on the given curve at which the tangent is horizontal, we need to find the points where the derivative of y with respect to x is equal to 0.
Explanation:To find the values of x on the curve y = cos x^2 + sin x at which the tangent is horizontal, we need to find the points where the derivative of y with respect to x is equal to 0. The derivative of y is -2x sin x + cos x.
Setting the derivative equal to 0, we have -2x sin x + cos x = 0. Solving this equation will give us the values of x at which the tangent is horizontal.
Unfortunately, it is not possible to find exact solutions to this equation analytically. We can, however, solve it numerically using methods such as Newton's method or the bisection method.
A square acre of land is 4840 square yards. Between which two integers is the length of one side? Pls show the steps or work.
beth has a total of $6000 to invest, part at 6% simple interest and part at 8% simple interest. Her return for one year is $410. How much did she invest at each rate?