Step-by-step explanation:
Ethan sold 2/3 gallon of lemonade.
Kayla sold some lemonade too.
Together they sold 1 1/4 gallons.
Subtract 2/3 from 1 1/4 as follows :
[tex]S=1\dfrac{1}{4}-\dfrac{2}{3}\\\\=\dfrac{5}{4}-\dfrac{2}{3}\\\\=\dfrac{7}{12}[/tex]
So, Kayla sold 7/12 gallons of lemonade.
As 2/3 is more than 7/12, it means Ethan sold more lemonade.
[tex]\dfrac{2}{3}-\dfrac{7}{12}=\dfrac{1}{12}[/tex]
It means Eathn sold 1/12 more lemonade.
Select the correct answer.
Over which interval of the domain is function m negative?
Answer:
The interval of the domain over which the function m is negative
will be: (6, ∞)
Step-by-step explanation:
We have to determine the interval of the domain over which the function m is negative.
The x-intercept of the graph is:
at y = 0, x = 6
(0, 6) is the x-intercept.
From the graph, it is clear that at the x-intercept x=6, the graph tends to continue downward towards infinity i.e. (6, ∞) where the graph would be negative as it is heading downwards.
Thus, the interval of the domain over which the function m is negative will be: (6, ∞)
Answer: (6,00)
Step-by-step explanation:
Sophie's town voted on a new speed limit. Out of 75 votes, 15 were in favor of the new speed limit. What percentage of the votes were in favor of the new speed limit?
Answer:
20%
Step-by-step explanation:
Divide 15 by 75 to find the percentage.
PLEASE HELP ME!!!!!!!!!!!!!!!!!!!!!!!!!
Solve -2t + 5 ≥ -7.
t ≤ 6
t ≤ -6
t ≥ 6
t ≥ -6
The value of t will be t ≥ 6 or t ∈ [ 6 , α ) .
Given,
-2t + 5 ≥ -7
Now,
Solving the inequality,
-2t + 5 ≥ -7
Take 5 from LHS of inequality to RHS of inequality .
-2t ≥ -12
The negative signs from both sides are eliminated .
2t ≥ 12
t≥ 12/2
t≥ 6 .
Thus the value of inequality will be t ≥ 6 .
Thus option C will be correct .
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PLZ help me with this :(
Part 1: Simplify √250
Part 2: Classify the number above as rational or irrational
Level 3 (Proficient: 85%)
Part 1: Simplify √150x*5
Part 2: Is the follow expression rational or irrational and why? 2√4+7
Level 4 (Distinguished: 100%)
Part 1: Simplify 13√750x*5 y*8
Part 2: Create two unique expressions each involving 1 square root and at least 1 operation (adding, subtracting, multiplying, dividing). Make 1 results in a rational number and the other result in an irrational number. Explain your reasoning for both.
Explanation:
Level 2
Part 1: √250 would be simplified to 5√10, because you need to find two factors that equal 250. 25 multiplied by 10 are two factors that you can utilize. Because 25 is a perfect square, it could be reduced to 5. Because 10 isn't a perfect square, you leave it as a radical.
Part 2: √250 is an irrational number because it's a non-terminating decimal and you cannot convert it into a fraction, so it wouldn't be rational.
Level 3
Part 1: √150x^5 would be simplified to 5x^2√6x. Again, find two factors that equal the product, 150. 25 multiplied by 6 are two factors that are useable. Just like the first question, 25 is a perfect square, so it can be reduced to 5. 6 is not a perfect square, so you would leave as a radical. Now, moving onto x^5. You can factor out x^4, because it's a perfect square. x^4 can become x^2. Move x^2 next to 5 and x would be left in the radical with 6.
Part 2: It's rational because 2√4 is simply just 2 x 2 because √4 is a perfect square. 4+7=11. 11 can be converted into a fraction, so it wouldn't be irrational.
Level 4
Part 1: 13√750x*5 y*8 would be simplified to 65x^2y^4√30x. Find two factors that equal 750, which are 25 and 30. You know the drill, 25 is reduced to 5 and 30 stays as a radical. Multiply 13 and 5 to get 65. Factor out x^4 out of x^5 to get x^2. x^8 is a perfect square that can be reduced to x^4.
Part 2: Two unique expressions are 4√16+3 and 5√8 x 34. √16 is a perfect square, so it can become 4. 4 x 4 is 16 and 16 + 3 = 19. 19 is a rational number. 5√8 is irrational, so right off the bat, you'll know it's an irrational expression.
A plumber charges a one-time service fee of $20 in addition to his hourly rate of $25 per hour. If the plumber went to your house to work on your bathtub and toilet and the bill came to $282.50, how many hours did it take him to complete the job?
A- 25 + 20x = 282.50; x = 10.5 hours
B- 20 + 25x = 282.50; x = 10.5 hours
C- 20 + 25x = 282.50; x = 12.1 hours
D- 45x = 282.50; x = 6.3 hours
Answer: B
Step-by-step explanation:
The number of hours it took him to complete the job is; Choice B: 20 + 25x = 282.50; x = 10.5 hours
According to the question;
The one-time service fee of the plumber is; $20
The plumber's hourly rate is; $25 per hour.
The total bill after working on toilet and bathroom came to; $282.50
The expression which represents the plumber's charge is therefore;
20 + 25x = 282.50where, x = number of hours to complete the job.
Therefore, to find x;
25x = 282.50 - 2025x = 262.50x = 262.50/25x = 10.5 hours.
The total number of hours it took him to complete the job is; 10.5 hours.
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A cheese wheel has a circumference of 18π in and an area of 81π in2. A sector of the wheel with an arc length of 3π in is removed. What is the area of this sector?
a) 6π in2
b) 486 in2
c) 13.5π in2
d) π6 in2
Answer:
13.5π in2
Step-by-step explanation:
just took the quick check
Write 1 390 000 in standard form.
A ratio that compares two quantities measured in different units is known as a ______________________.
Answer:
a rate
Step-by-step explanation:
A rate is a ratio that compares two different quantities that have different units of measure. A rate is a comparison that provides information such as dollars per hour, feet per second, miles per hour, and dollars per quart, for example. The word “per” usually indicates you are dealing with a rate.
Baylee received a 36% on her puppy test. How many tricks did she get right if there were a total of 25 questions?
marking brainliest to whoever can help me
Jordan has traveled 255 miles out of 340 miles on a trip. What percent of the total distance has he traveled?
A. 73%
B. 82%
C.75%
D. 70%
Answer:
Step-by-step explanation:
jordan traveled 255 miles out of 340 miles
340 miles.........................100 %
255 miles.......................... ?
255*100=2500/340=73%
See attachment for math work and answer.
Math problem. I not smort
Answer:
first answer
Step-by-step explanation:
doesnt pass vertical line test, not a function
SOMEONE HELP!!!! ASAP
I’ll give brainliest!! Please and ty !
Last answe choice is 37 !!
Answer:
65
Step-by-step explanation:
Figure B is a scaled copy of Figure A. What is the scale factor from Figure A to Figure B.
Answer:
The scale factor is 1/2
Step-by-step explanation:
I have a different one but it was supposed to be 1/4
Anyone know how to do identify the features?
CAN SOMEONE PLEASE HELP ME ASAP
Answer:
G
Step-by-step explanation:
difference between coordinates of A and C is 9 because 7-(-2) is 9, one-third of nine is 3, -2+3=1 G is 1. (sorry for poor phrasing)
In which number is the value of the digit two ten times the value of the digit 2 in 14,429
Answer:
In 14,429 the value of 2 is 20 because it's in the tens place. 10 * 20 = 200. 200 is your answer.
Show and explain how you found the answer to this problem. Carla has 152 pictures to put in a scrapbook. If she can fit 12 pictures on a page, how many pages will she need to use?
Someone explain how did it in there answer :)
I’ll also mark as you know that
Answer:
13 pages
Step-by-step explanation:
kim weighed the dictionary and found that it had a mass of 745 grams. how many kilograms is that?
Answer:
0.745 kilograms
Eight more then seventimes a number (x) is atleast twenty nine
Answer:A number increased by seventeen is equal to seventy-three. x + 17 = 73
Some number decreased by seven is thirty-three. x - 7 = 33
A number increased by twelve is forty. x + 12 = 40
A number increased by fifteen is sixty-two. x + 15 = 62
Eight less than a number is nine. x - 8 = 9
A number divided by 11 is 4. x/11 = 4
Seven more than three times a number is 19. 3x + 7 = 19
Four more than five times a number is thirty-six. 5x + 4 = 35
Eight less than nine times a number is eleven. 9x - 8 = 11
Twelve more than four times a number is seven. 4x + 12 = 7
Seven more than triple a number is fifteen. 3x + 7 = 15
Seven times a number increased by eight equals twenty-three. 7x + 8 = 23
Eight more than six times a numbers is eleven. 6x + 8 = 11
Nine times a number increased by thirteen is twelve. 9x + 13 = 12
The quotient of a number and four is seventeen. x/4 = 17
A number increased by seven is twenty-five. x + 7 = 25
Fifty-five is the sum of a number and sixteen. x + 16 = 55
The product of a number and eleven is seventy-five. 11x = 75
Eight times a number increased by eleven is thirty-seven. 8x + 11 = 37
The difference of a number and twelve is thirty-four. x - 12 = 34
Step-by-step explanation:
Answer:
x is equal to or greater than 3
Step-by-step explanation:
7x + 8 => 29
7x => 21
x => 3
Solve for x to the nearest tenth
Answer: are there choices?
Step-by-step explanation:
Step-by-step explanation:
sin 56 = 11/x
☓ = 11/ 5 Sin 56
= 13.3
Brenda took her dog to the veterinarian for an exam. The doctor told Brenda her dog needed to lose weight. Her dog weighed 55 pounds during this visit. The doctor suggested that her dog 45 pounds by their next visit. What is this weight decrease represented as a percent?
Answer:
18%Step-by-step explanation:
Step one;
given
initial weight = 55 pounds
final weight= 45 pounds
Step two:
Required
the % weight decrease
% decrease= initial-final/initial *100
% decrease= 55-45/55 *100
% decrease= 10/55 *100
% decrease= 0.18 *100
% decrease= 18%
complete each number sentence by choosing >, <, or =
14 - (5 +3) , (14 -5) + 3
(1 + 6) + 9 , 1 + (6 +9)
17 - (8+4) , 17 - 8 + 4
Answer:
14 - (5 +3) < (14 -5) + 3 <
14 - 8 9+3
(1 + 6) + 9 = 1 + (6 +9) =
17 - (8+4) < 17 - 8 + 4 <
-5 12
Step-by-step explanation:
Simplify (4i) (5i) - The “i” is the imaginary number for negative 1
Answer:
-20
Step-by-step explanation:
The simplified form of the given complex number (4i)(5i) is -20.
To simplify the expression (4i)(5i), we can use the properties of complex numbers.
The imaginary unit i is defined as the square root of -1. So, i² = -1.
Now let's simplify the given expression:
(4i)(5i) = 20i²the simplified form of (4i)(5i) is -20.
Since i² equals -1, we can substitute -1 for i²:
20i² = 20(-1)
Multiplying -1 by 20, we get:
20(-1) = -20
Therefore, the simplified form of (4i)(5i) is -20.
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Han earned $850 over the summer working odd jobs. He wants to put his money into a savings account for when he is ready to buy a car. His bank offers a simple interest account at 5%, how much interest will Han have earned after 2 years?
Answer:
85 in intreset and 935 totoal
Step-by-step explanation:
Answer:
A = $935.00
I = A - P = $85.00
Equation:
A = P(1 + rt)
Calculation:
First, converting R percent to r a decimal
r = R/100 = 5%/100 = 0.05 per year.
Solving our equation:
A = 850(1 + (0.05 × 2)) = 935
A = $935.00
The total amount accrued, principal plus interest, from simple interest on a principal of $850.00 at a rate of 5% per year for 2 years is $935.00.
Answer:
85
Step-by-step explanation:
two geometric figures that are proportional in size are ____ figures
h ( t) = -10 + 6 h ( ) = -44
Answer:
-44
Step-by-step explanation:
Please help me thanks please
Answer:
Missing side is 15 in
area 150 in^2
Step-by-step explanation:
x = √ (25^2 - 20^2)
x = √ 625 - 400
x = √ 225
x = 15
area = bh/2
area = (20 * 15) /2
area = 300 / 2
area = 150
I think it's 500 but maybe Im wrong bc I keep editing my answer
Subtract-2x2 - 4x from 2x2 – 2x - 5.
Identify the axis of symmetry and vertex.
Answer:
he axis of symmetry always passes through the vertex of the parabola . The x -coordinate of the vertex is the equation of the axis of symmetry of the parabola. For a quadratic function in standard form, y=ax2+bx+c , the axis of symmetry is a vertical line x=−b2a .
Step-by-step explanation: