The answer to your problem would be answer B. 6x^9. It is the only answer equivalent to the 3 square root 216x27.
Hope this helps. :3
Ulysses is spending his vacation in South Carolina. He rents a car and is offered two different payment options. He can either pay $25.00 each day plus $0.15 per mile (option A) or pay $10.00 each day plus $0.40 per mile (option B). Ulysses rents the car for one day.
Write an inequality representing the number of miles where option A will be the cheaper plan. (set up the inequality and then step by step how to solve)
How many miles will Ulysses have to drive for option A to be the cheaper option?
Please show step by step work
0.770000 in scientific notations
Calculate 110/11.
A. 10
B. 12
C. 9
D. 11
A type of green paint us made by mixing 2 cups of yellow with 3.5 cups of blue.
a. Find a mixture that will make the same shade of green but smaller amount.
Use 1.75 cups of blue and 1 cup of yellow
Step-by-step explanation:The given problem can be placed in the category of ratios and proportions. There is a ratio of color mixing which contains the proportion of two colors i.e blue and yellow. When we use 2 cups of yellow with 3.5 cups of yellow then we get green color so if we mix half of their amounts then we can get less or simply half amount of color too. Hence adding 1 cup of yellow and 1.75 cup of blue will give us small amount in result.
what is 2/3 divied by 3 in fraction form
1. On a construction site, the workers excavated 30,000 cubic feet of dirt. How many cubic meters did they excavate? A. 84.9 B. 1,050 C. 849 D. 105
Answer:
Step-by-step explanation:
Alright, lets get started.
Since we know,
[tex]3.28084 feet = 1 meter[/tex]
So,
[tex]1 feet = \frac{1}{3.28084} meter[/tex]
[tex]1 cubic feet= \frac{1}{3.28084} *\frac{1}{3.28084}* \frac{1}{3.28084}cubic meters[/tex]
Hence
[tex]1 cubic feet = 0.0283168 cubic meters[/tex]
So, 30000 cubic feet = [tex]30000*0.0283168 = 849.5[/tex] cubic meters
hence the answer is 849 cubic meters. : Answer
Hope it will help :)
the perimeter of each face of a rubik's cube is 22.2 centimeters. What is the length of an edge of a Rubiks cube?
The edge length of a Rubik's cube, given a face perimeter of 22.2 cm is 5.55 cm.
Explanation:The question asks for the length of an edge of a Rubik's cube, given that the perimeter of each face of the cube is 22.2 cm. A Rubik's cube is a square based cube, meaning each face of the cube is a square.
In a square, all sides have equal length and the perimeter is four times the length of one edge. Therefore, to find the length of one edge, you divide the perimeter of the square by four. Using the provided perimeter of 22.2 cm, the length of an edge would be 22.2 ÷ 4 = 5.55 cm
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sherry has five times as many computer games as jay . Nairan has three times as many computer games as jay. sherry has 16 computer game's more than Nairan has .hiw many games does jay have?
Answer:
Jay has 8 computer games
Step-by-step explanation:
Let
x -----> the number of computer games Sherry has
y -----> the number of computer games Jay has
z -----> the number of computer games Nairan has
we know that
[tex]x=5y[/tex] ----> equation A
[tex]z=3y[/tex] ----> equation B
[tex]x=z+16[/tex] ----> equation C
Substitute equation A and equation B in equation C and solve for y
[tex]5y=3y+16[/tex]
[tex]5y-3y=16[/tex]
[tex]2y=16[/tex]
[tex]y=8[/tex]
therefore
Jay has 8 computer games
Aubrey and Charlie are driving to a city that is 120 mi from their house. They have already traveled 20 mi, and they are driving at a constant rate of 50 mi/h. Complete the function that models the distance they drive as a function of time. Then complete a reasonable domain for this situation.
The distance function for Aubrey and Charlie's trip is d(t) = 20 + 50t, accounting for an initial 20 miles already traveled. The reasonable domain for time t in this situation is from 0 to 2 hours since they are traveling at 50 miles per hour and have 100 miles remaining.
Aubrey and Charlie have already traveled 20 miles and are continuing to travel towards a city that is 120 miles away from their start at a constant rate of 50 miles per hour. To complete the function that models the distance they drive as a function of time, we use the formula distance traveled is velocity imes time. With a start of 20 miles, the function can be written as:
d(t) = 20 + 50t
Where d(t) represents the distance traveled at time t in hours. For the domain, since they have already traveled 20 miles, the remaining distance is 100 miles. At a rate of 50 miles/hour, the maximum time needed to cover the remaining distance is 2 hours. Hence, the reasonable domain for time t is 0 ≤ t ≤ 2.
I NEED HELP NOW!!!
What is the distance between the points (−3, 5) and (−3, −6)
1 unit
5 units
6 units
11 units
Student are knitting scarcer for a fund-raiser.Elaine can kinit 4 scarves in 20 days.Mario can knit 2 more scarves than Elaine can in 40 days .what is the difference in the time it takes each of them to lint scarf?Explan your answer
How do you solve 2 tenths + 11 hundredths
(03.05) A coal car on a train weighs 30 tons plus 1 ton per cubic yard of coal x that it carries. The total weight of a coal car is: f(x) = x + 30. How will the graph of this function change if the coal car weight is changed to 26 tons? (1 point)
The line will shift vertically up by 4 tons.
The line will shift vertically up 26 tons.
The line will shift vertically down by 4 tons.
The line will shift vertically down by 26 tons.
The line will shift vertically down by 4 tons.
josef has at least 296 photos. he bought an album that holds 6 photos on each page. which best describes the number of photo album pages he will use?
Answer:at least 50 pages
find the error sienna used base-ten blocks to find 45÷3 .explain her error
Final answer:
To spot Sienna's error in using base-ten blocks for dividing 45 by 3, we need to verify the even distribution of tens and ones among three groups. The correct result should be 15, with each group receiving 1 ten block and 5 ones blocks.
Explanation:
To find the error made by Sienna in dividing 45 by 3 using base-ten blocks, we need to visualize the process. The number 45 consists of 4 tens (which are blocks representing the number 10) and 5 ones (single blocks representing the number 1). Since she is dividing by 3, Sienna should group the blocks into 3 equal groups to find the quotient, which should be the same number in each group when the blocks are divided evenly.
If Sienna were to correctly divide the blocks to find 45 ÷ 3, she would need to distribute the 4 tens blocks evenly among 3 groups, which would give each group one ten blocks, with one ten blocks remaining. These remaining ten blocks should then be exchanged for ten one's blocks, which, added to the existing five one's blocks, makes a total of fifteen one's blocks. These fifteen blocks can then be evenly distributed, giving each group five blocks. In the end, each group will have one ten-block and five blocks, meaning the quotient is 15.
Therefore, the error that Sienna could have made could include not exchanging a remaining tens block for ones blocks, or not distributing the ones blocks correctly after exchanging. It’s important to keep track of remainders and ensure even distribution among the groups to find the correct quotient in division with base-ten blocks.
A spring stretches in relation to the weight hanging from it all cording to the equation Y equals 0.75X +0.25 where X is the weight in pounds and why is the length of the spring in inches
Graph the function y = 2x3 – x2 – 4x + 5. To the nearest tenth, over which interval is the function decreasing?
(1, ∞)
(–∞, –0.7)
(–0.7, 1)
(–1, 0.7)
Answer:
Option 3 - (-0.7,1)
Step-by-step explanation:
Given : Function [tex]y=2x^3-x^2-4x+5[/tex]
To find : Over which interval is the function decreasing?
Solution :
First we plot the graph using graphing calculator.
Refer the attached figure below.
Now, Examining the graph
From [tex]-\infty[/tex] to (-0.667,6.63) the graph is increasing as the curve is increasing.
From (-0.667,6.63) to (1,2) the graph decreasing as the curve is decreasing.
From (1,2) to [tex]\infty[/tex] the graph is increasing as the curve is increasing.
So, The interval in which the function is decreasing is given by (-0.667,1)
Round to nearest tenth, (-0.7,1)
Therefore, Option 3 is correct.
Mrs. Gibbs goes to the store to buy AA and 9V batteries. She needs at least 6 AA batteries. In all, she wants to buy at least 20 batteries. The store has 12 AA batteries and 15 9V batteries in stock.
The graph shows the feasible region, where x represents the number of AA batteries and y represents the number of 9V batteries.
Which ordered pairs meet all the constraints and make sense in the context of the situation?
Select each correct answer.
(7, 13)
(8,11)
(10,16)
(12,12)
Let
x------> represents the number of AA batteries
y------> represents the number of 9V batteries
we know that
The constraints are
[tex]x\geq 6[/tex]
[tex]x\leq 12[/tex]
so
[tex]6\leq x\leq 12[/tex] --------> inequality A
[tex]y\leq 15[/tex] --------> inequality B
[tex](x+y)\geq 20[/tex]
[tex](x+y)\leq 27[/tex]
so
[tex]20\leq (x+y) \leq 27[/tex]-----> inequality C
The solution of the system of inequalities is the shaded area in the attached figure
If a ordered pair meet all the constraints and make sense in the context of the situation, then the ordered pair is a solution of the system of inequalities
let's check each of the ordered pairs
case A) point [tex](7,13)[/tex]
[tex]x=7\ y=13[/tex]
Verify inequality A
[tex]6\leq 7\leq 12[/tex]--------> is true
Verify inequality B
[tex]13\leq 15[/tex] -------> is true
Verify inequality C
[tex]20\leq (7+13) \leq 27[/tex]
[tex]20\leq (20) \leq 27[/tex]------> is true
The ordered pair [tex](7,13)[/tex] meets all restrictions, therefore the ordered pair is a solution of the system of inequalities
case B) point [tex](8,11)[/tex]
[tex]x=8\ y=11[/tex]
Verify inequality A
[tex]6\leq 8\leq 12[/tex]--------> is true
Verify inequality B
[tex]11\leq 15[/tex] -------> is true
Verify inequality C
[tex]20\leq (8+11) \leq 27[/tex]
[tex]20\leq (19) \leq 27[/tex]------> is not true
The ordered pair [tex](8,11)[/tex] does not meet all the restrictions, therefore the ordered pair is not a solution of the system of inequalities.
case C) point [tex](10,16)[/tex]
[tex]x=10\ y=16[/tex]
Verify inequality A
[tex]6\leq 10\leq 12[/tex]--------> is true
Verify inequality B
[tex]16\leq 15[/tex] -------> is not true
Verify inequality C
[tex]20\leq (10+16) \leq 27[/tex]
[tex]20\leq (26) \leq 27[/tex]------> is not true
The ordered pair [tex](10,16)[/tex] does not meet all the restrictions, therefore the ordered pair is not a solution of the system of inequalities.
case D) point [tex](12,12)[/tex]
[tex]x=12\ y=12[/tex]
Verify inequality A
[tex]6\leq 12\leq 12[/tex]--------> is true
Verify inequality B
[tex]12\leq 15[/tex] -------> is true
Verify inequality C
[tex]20\leq (12+12) \leq 27[/tex]
[tex]20\leq (24) \leq 27[/tex]------> is true
The ordered pair [tex](12,12)[/tex] meets all restrictions, therefore the ordered pair is a solution of the system of inequalities
the answer is
[tex](7,13)[/tex]
[tex](12,12)[/tex]
what is 0.468 divided by 6.5
0.072. is 0.468 divided by 6.5.
What is divide?divide in math is the operation of breaking a number up into equal parts, and finding out how many equal parts can be made.
To determine 0.468 / 6.5
first we change into fraction from
0.468 = 468 * 1/1000
6.5 = 65 * 1/10
468 /1000 * 65 /10
= 0.072.
Therefore, the final answer is 0.072.
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Use absolute value to express the distance between −13 and 17 on the number line. |−13 − 17| = −30, |−13 − 17| = 30, |−13 − 17| = −4, |−13 − 17| = 4
Hello,
The correct answer is B) |-13 - 17| = 30
Hope this helps!!!!
I don't get this I need help
34.44- 8.6 find the difference
Liam is setting up folding chairs for a meeting. If he arranges the chairs in 6 rows of the same length, he has 7 chairs left over. If he arranges the chairs in 4 rows of that same length, he has 19 left over. How many chairs does Liam have?
If the original quantity is 8 and the new quantity is 6, what is the percent decrease?
Answer:
25%
Step-by-step explanation:
Write this as an equation the product of 7 and j is 91?
Answer 7j = 91
Step-by-step explanation: Whenever it says "the product of", that's when you know you need to multiply. Since we already have the solution we need to divide 91 and 7 to get j. 91 divided by 7 is 13. So j=13
How can the properties of operation be used to solve problems involving integers and rational numbers?
To solve problems with integers and rational numbers, one should apply operations' properties such as commutativity, associativity, and distributivity, which streamline calculations and assist in combining numbers in an order that simplifies the process.
Integers and rational numbers are essential elements of algebra that allow for diverse mathematical operations. Integers are the set of whole numbers including zero, and their negative counterparts (e.g., -1, 0, 1), while rational numbers are ratios of integers (e.g., 2/1, 3/4) that can represent fractions and decimals that terminate or repeat. When solving problems, it is crucial to remember the properties of operations, which include commutativity associativity , distributivity, the additive inverse and the multiplicative inverse.
For example, when adding fractions with different denominators, you find a common denominator and use commutativity and associativity to combine these fractions. A problem involving multiplication of a negative integer and a fraction may require both the distributive property and understanding of the multiplicative inverse. Mastering these properties provides a foundation for solving algebraic expressions and equations, ensuring accuracy whether the numbers are complex, real, rational, or integers.
Harry goes on a canoe trip with his scout troop.They will canoe a total of 75 miles and want to travel 8 miles each day .How many days will they need to travel the entire distance? Interpret the remainder.
14. Pizza palace offers five sizes personal: (8 inches) small:(10 inches) medium:(12 inches) large:(14 inches) and extra large:(16 inches) the cost c(d) of making a pepperoni pizza can be expressed as a function of the diameter D of the pizza. What is the average rate of change in cost from an eight inch to a sixteen inch pizza?
The average rate of change in the cost of the pizza from an 8-inch to a 16-inch pizza is 0.9425.
Given that:
There are five sizes of pizza.
Personal of size 8 inches, small size of 10 inches, medium size of 12 inches, large size of 14 inches, and extra large size of 16 inches.
The cost of the pizza is a function of the diameter.
Also, a table is given that shows the diameter of the pizza and the cost of the pizza based on the diameter.
From the table:
Cost of 8-inch pizza = 2.51
Cost of 16-inch pizza = 10.05
The average rate of change of a function f(x) from points a to b can be found as:
[tex]\text AroC=\frac{f(b)-f(a)}{b-a}[/tex]
The average rate of change in cost is:
[tex]\text AroC=\frac {10.05-2.51}{16-8} \\\text AroC=\frac{7.54}{8} \\\text AroC=0.9425[/tex]
Hence, the average rate of change in cost is 0.9425.
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The table showing the cost as a function of diameter is given below.
The average rate of change in cost from an 8-inch to a 16-inch pizza is 0.9425 dollars per inch.
To find the average rate of change in cost from an 8-inch to a 16-inch pizza, we need to calculate the average rate of change of the cost function [tex]\( C(d) \)[/tex] with respect to the diameter [tex]\( d \).[/tex]
Given data:
[tex]- \( C(8) = 2.51 \)\\- \( C(10) = 3.93 \)\\- \( C(12) = 5.65 \)\\- \( C(14) = 7.70 \)\\- \( C(16) = 10.05 \)[/tex]
The average rate of change of [tex]\( C(d) \)[/tex] from 8 inches to 16 inches is given by:
[tex]\[\text{Average rate of change} = \frac{C(16) - C(8)}{16 - 8}\][/tex]
First, calculate [tex]\( C(16) - C(8) \):[/tex]
[tex]\[C(16) - C(8) = 10.05 - 2.51 = 7.54\][/tex]
Then, calculate [tex]\( 16 - 8 \):[/tex]
[tex]\[16 - 8 = 8\][/tex]
Now, divide to find the average rate of change:
[tex]\[\text{Average rate of change} = \frac{7.54}{8} = 0.9425\][/tex]
Therefore, the average rate of change in cost from an 8-inch to a 16-inch pizza is 0.9425 dollars per inch.
The complete question is:
Pizza palace offers five sizes personal: (8 inches) small:(10 inches) medium:(12 inches) large:(14 inches) and extra large:(16 inches) the cost c(d) of making a pepperoni pizza can be expressed as a function of the diameter D of the pizza. What is the average rate of change in cost from an eight inch to a sixteen inch pizza?
One lap of a high-speed automobile race is 2.60 miles. A driver completes 35 laps traveling at 182 miles per hour.
Explain how you can use the equation d=rt to find the time it takes to complete the laps.
Final answer:
To calculate the time it takes for a race car to complete 35 laps at 182 miles per hour, multiply the number of laps by the lap distance to get the total distance, then divide by rate to get time, resulting in 0.5 hours or 30 minutes.
Explanation:
To find the time it takes to complete 35 laps in a high-speed automobile race using the equation d = rt, where d is distance, r is rate, and t is time, follow these steps:
First, calculate the total distance traveled by multiplying the number of laps (35) by the distance per lap (2.60 miles), which equals 91 miles.Next, use the race driver's speed (182 miles per hour) as the rate in the equation.Finally, rearrange the equation to solve for time: t = d/r. The time is the total distance (91 miles) divided by the rate (182 miles per hour).Performing the calculation, the time to complete the laps is 0.5 hours or 30 minutes.
Ashley went to HEB to buy the apples to make her famous apple pie. if she bought 22 pounds of apples for $1.43 per pound. How much did Ashley pay for the apples?
You have to multiply the price by the quantity and you will find the total cost.
1.43 * 22 = 31.46