Answer: Avery's bottle holds 300 milliliters. If Dashawn's container holds 3/4 as much, then his container can hold 225 milliliters. Added together, both containers can hold 525.
Step-by-step explanation: 3/4 of 300 is 225. 300 + 225 = 525.
Which of the following is the best definition of a circle?
A. The collection of all points in a plane that are the same distance
from a given point
B. A plane figure similar to a hexagon
C. The collection of all points in a plane that are the same distance
from a given line
D. A polygon with curved sides
Answer:
The answer is A
Step-by-step explanation:
The answer is A because a circle is a circle and it doesn't have any sides and it's a bunch of points that are the same distance from each other creating a circle like object.
Hope this helps :))
Option A is the correct answer that is a collection of all points in a plane that are the same distance from a given point.
What is a circle?The circle is defined as the locus of the point traces around a fixed point called the centre and is equidistant from the outer trace.
The circle is also defined as the collection of all points in a plane that are the same distance from a given point.
Therefore Option A is the correct answer that is a collection of all points in a plane that are the same distance from a given point.
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how many solutions does the system have? 4x-6y=-24 2x-3y=-6
Answer:
No Solution.
Step-by-step explanation:
4x-6y=-24
2x-3y=-6
-----------------
4x-6y=-24
-2(2x-3y)=-2(-6)
-------------------
4x-6y=-24
-4x+6y=12
----------------
0=-12
no solution
Answer:
I TRIED IT ON KHAN ITS NO SOULTIONS
Step-by-step explanation:
Find the solution of this system of equations.
Separate the x- and y-values with a comma.
x - 2y = -6
x - y = 12
Answer:
x = 30, y = 18
Step-by-step explanation:
Given the 2 equations
x - 2y = - 6 → (1)
x - y = 12 → (2)
Subtracting (2) from (1) term by term will eliminate the term in x
||(x - x) + (- 2y - (- y)) = (- 6 - 12), that is
- y = - 18 ( multiply both sides by - 1 )
y = 18
Substitute y = 18 into either of the 2 equations for value of x
Substituting in (2)
x - 18 = 12 ( add 18 to both sides )
x = 30
Answer: (30,18)
x - 2y = -6
x - y = 12
x - y = 12
- y = 12 - x
y = -12 + x
x - 2y = -6
x = -6 + 2*y
y = -12 + (-6+ 2*y)
y = -12 - 6 + 2*y
y - 2*y = -18
-y = -18
y = 18
y = -12 + x
18 = -12 + x
-x = -12 - 18
x = 12 + 18
x = 30
ork, and INTERPRET answers for word problems.
Chan Hee bought 3.4 pounds of cheese that
cost $6.95 per pound. How much did he spend
on cheese?'
Answer:
He spend on cheese is $23.63.
Step-by-step explanation:
Given:
Chan Hee bought 3.4 pounds of cheese that cost $6.95 per pound.
Now, to find the amount he spend on cheese.
As given the unit rate:
Cost of per pound of cheese = $6.95.
So, to get the amount Chan Hee spend on buying cheese we multiply the number of pounds of cheese to the cost of per pound of cheese.
[tex]Number\ of\ pounds\ of\ cheese\times cost\ of\ per\ pound\ of\ cheese.[/tex]
[tex]=3.4\ pounds\times \$6.95[/tex]
[tex]=\$23.63.[/tex]
Therefore, he spend on cheese is $23.63.
a cafeteria worker is wondering how student lunch prices at a high school have changed over time. she researches lunch prices for the years 2000 through 2015 and plots the data in a scatter plot. the best-fit line for the data has the equation y=0.057 x + 1.150, where x is the number of years since 2000 and y is the student lunch price, in dollars.
determine whether each statement below is true ot false based on the question of the line best fit. select true or false for each question.
the student lunch price was generally increasing between 2000 and 2015.
the student lunch price was changed by approximately 5.7 cents a year.
the student price in 2015 was approximately $1.15.
Answer:
True false true
Step-by-step explanation:
TRUE, the student lunch price was generally increasing between 2000 and 2015 as the equation [tex]y=0.057x+1.150[/tex] is a linearly increasing function.
TRUE, the student lunch price was changed by approximately [tex]5.7\rm cents[/tex] a year.
FALSE, the student price in 2015 was approximately $1.15.
The best-fit line for the data has the equation [tex]y=0.057x+1.150[/tex] , where [tex]x[/tex] is the number of years since 2000 and [tex]y[/tex] is the student lunch price, in dollars.
So, it can be seen here from the best-fit line equation that it is a linearly increasing function so, the student lunch price was generally increasing between 2000 and 2015.
Now, differentiating the given best-fit line for the data has the equation [tex]y=0.057x+1.150[/tex] with respect to [tex]x[/tex] to determine the approximated change of the lunch price per year
[tex]\dfrac{dy}{dx}=\dfrac{d}{dx}(0.057x+1.150)\\\dfrac{dy}{dx}=\$0.057\\\dfrac{dy}{dx}=5.7\rm cents[/tex]
And, [tex]2015[/tex] is [tex]15[/tex] years from the year [tex]2000[/tex] so, substitute the value of the parameter [tex]x=15[/tex] in the best-fit line equation, we get
[tex]y=0.057\times 15 +1.150\\y=0.855+1.150\\y=2.005[/tex]
So, the lunch price in 2015 was approximately [tex]\$2.005[/tex].
Hence, the first two statements are TRUE while the last statement is FALSE.
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Solve the quadratic equation by completing the square.
4x2 + 8x - 7 = 0
A) x =
2±
11
2
B) x =
2±
11
4
C) x = -
2±
11
2
D) x = -
2±
11
4
Answer:
x=(-2+sqrt(11))/2, (-2-sqrt(11))/2.
Step-by-step explanation:
Apply the quadratic formula with a=4, b=8 and c=-7.
Which statements accurately describe the function f(x) = 3(sqrt18)^x? Select three options.
Answer:
options 1, 3 and 5
=============================================
Step-by-step explanation:
The given function is [tex]f(x) = 3(\sqrt{18} )^x[/tex]
The given function is an exponential function and the graph of the function is as shown in the attached figure.
As shown in the figure:
The domain of the function is all the real numbers ⇒ R
The range of function ⇒ y > 0
The initial value will be at x = 0 ⇒ y =3
The base of the function = [tex]\sqrt{18} =\sqrt{9*2} =\sqrt{3^2 * 2} = 3\sqrt{2}[/tex]
So, the correct options will be options 1, 3 and 5
What is the weight in grams of a 6.2 pounds birds ?
Answer:
The weight of a 6.2 pounds bird is 2812.27 grams.
Step-by-step explanation:
Weight of a bird is 6.2 pounds.
Now, to find the weight in grams.
So, we have to convert the pounds into grams.
1 pound = 453.592 grams.
Thus, to get the weight in grams we multiply 6.2 pounds with 453.592 grams:
[tex]6.2\times 453.592 = 2812.27\ grams.[/tex]
Therefore, the weight of 6.2 pounds bird is 2812.27 grams.
A school locker is foot wide, 13 feet deep, and 6 feet
tall. What is the volume of the locker?
Answer:
hi there!
the correct answer to this question is: 78 ft^3
Step-by-step explanation:
you use the volume formula: V= Base * height
base: 1 * 13
height: 6
so multiply 13 by 6 and you get 78
Catalina works part-time at a bakery earning $7.50 an hour. In the last five days, her time
card shows that she worked 3.3, 2.9, 4.0, 3.5, and 2.1 hours.
What is her gross pay for the five days?
Answer:
Her gross pay is $118.50
Step-by-step explanation:
Firstly, find out how much she earn in each day :
Day 1 => 3.3hr × $7.50
= $24.75
Day 2 => 2.9hr × $7.50
= $21.75
Day 3 => 4.0hr × $7.50
= $30.00
Day 4 => 3.5hr × $7.50
= $26.25
Day 5 => 2.1hr × $7.50
= $15.75
Lastly, sum up altogether to calculate how much she earns in 5 days:
$24.75 + $21.75 + $30 + $26.25 + $15.75
= $118.50
A tennis ball bounces based on this equation y = x2 - x+2. A dog jumps based on this equation y=2x.
When will the dog receive the ball?
Answer: when the equations are equal, that is when x = 1 or x = 2
Step-by-step explanation:
The dog will receive the ball , when both equations intercept , that is , when both equations are equal. This implies :
[tex]x^{2}[/tex] - x + 2 = 2x
[tex]x^{2}[/tex] - x - 2x + 2 = 0
x(x-1) - 2 (x - 1 ) = 0
(x - 1 ) ( x - 2 ) =0
Therefore , x = 1 or x = 2
James is 46 years old. This is uncle John's age divided by 2, plus 14 years
A rectangle has a height of 3b^2 and a width of 4b^4+2b-6.
Express the area of the entire rectangle.
Answer:
see the attach file
Step-by-step explanation:
if you have any question then reply me again
The area of the rectangle will be 12b⁶ + 6b³ – 18b².
What is the area of the rectangle?Let H be the height and W be the width of the rectangle. The area of the rectangle is the product of height and width.
Then the area of the rectangle will be
Area of the rectangle = H × W square units
A rectangle has a height of 3b² and a width of 4b⁴ + 2b – 6.
Then the area of the rectangle will be
Substitute H = 3b² and W = 4b⁴ + 2b – 6. Then the area of the rectangle will be
Area of the rectangle = 3b² x (4b⁴ + 2b – 6)
Simplify the equation, we have
Area of the rectangle = 3b² · 4b⁴ + 3b² · 2b – 3b² · 6
Area of the rectangle = 12b⁶ + 6b³ – 18b²
Thus, the area of the rectangle will be 12b⁶ + 6b³ – 18b².
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William works at a nearby electronics store. He makes a commission of 6% percent on everything he sells. If he sells a computer for $764.00, how much money does William make in commission?
Commission earned by William is $ 45.84
Solution:Given that,
William makes a commission of 6% percent on everything he sells
He sells a computer for $764.00
To find: Commission amount of William
Given that he makes a commission of 6 % on everything he sells. So he has received a commission of 6 % of $ 764.00
Commission amount of William = 6 % of $ 764.00
a % of b can be written in fraction as [tex]\frac{a}{100} \times b[/tex]
[tex]6 \% \text { of } 764=\frac{6}{100} \times 764=0.06 \times 764=45.84[/tex]
Thus commission earned by William is $ 45.84
On a very cold morning,it was -7%f.As the day went on,the temperature rose 3 degrees each hour.Which equation shows the temperature over time?
Answer:
The equation that shows the temperature over time is t(x) = -7 + 3x
Step-by-step explanation:
Given:
Temperature at every morning = -7°F
Rise in Temperature per hour = 3 degrees
To Find:
Equation that shows the temperature over time
Solution:
Let x be the time (hours)
Now the temperature at time x (hours) is
=> [tex]-7 + (\text{Number of hours} \times \text {Increase in temperature per hour)}}[/tex]
=>-7 + 3x
Hence at time x hours the temperature will be
t(x) = -7 + 3x
5. Gene made a two-digit code. The first
digit is odd. How many possible codes
dan he choose from?
VA 5
C 50
B 15
b 100
Answer:
50 possible codes.
Step-by-step explanation:
The first digit must be 1, 3, 5, 7 or 9. - 5 possibilities.
The second digit is one of the numbers from 0 to 9, - 10 possibilities.
So the number of possible codes = 5 * 10 = 50.
By what percent will a fraction decrease if its numerator is decreased by 50% and its denominator is decreased by 25%?
Answer:
33 2/3 % (33.33%)
Step-by-step explanation:
Fraction = x/y
After decrease: (x - .5) / (y-.25)
Simplify : .5x / .75y
= 2/3
1 - 2/3 = 1/3 = .33 = 33 1/3 %
Hope this helps
The width of the rectangle is 75% of its length
hat is the area of the rectangle?
19
b. The length of the rectangle is doubled. What percent of the length is the width now? Explain your reasoning.
Because the length is doubled the width of the rectangle is now half of
75% of its length.
And the square is 24 in
The area of the rectangle is 0.75 of the square of the length. When the length is doubled, the width is 37.5 % of the length.
Explanation:The area of a rectangle is calculated by multiplying its length and width. In this case, the width is 75% of the length. So if we denote the length as 'L', then the width would be 0.75 * L. Therefore, area would be L * 0.75L = 0.75 * L^2.
Now, if the length of the rectangle is doubled, the width remains the same, so it becomes 0.75 * 2L. So the width becomes a smaller fraction of the length. We can work out this out as follows: (0.75L / 2L) * 100 = 37.5%.
So, when the length of the rectangle is doubled, the width is 37.5 % of the length.
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1. The area of the rectangle is 0.75 times the square of the length.
2. The width is now 75% of the length.
Part 1:
What is the area of the rectangle?
If the width of the rectangle is 75% of its length, then we can express the width as 0.75 * length.
The area of a rectangle is calculated by multiplying the length and width, so the area of the rectangle in this case is:
Area = length * width = length * 0.75 * length = 0.75 * length^2
Therefore, the area of the rectangle is 0.75 times the square of the length.
Part 2:
The length of the rectangle is doubled. What percent of the length is the width now? Explain your reasoning.
If the length of the rectangle is doubled, then the width is now half of 75% of the new length.
To calculate this, we can use the following steps:
Calculate the new length of the rectangle: old_length * 2 = new_length
Calculate 75% of the new length: 0.75 * new_length
Divide the width by the new length to get the percentage: width / new_length
For example, if the old length of the rectangle was 10 cm, then the new length would be 20 cm. 75% of 20 cm is 15 cm. Therefore, the width is now 75% of the length.
Answer: The width is now 75% of the length.
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How would you write “The product of five and the sum of a number x and three is twelve” into an equation? please show work
A) 5+3x= 12
B) 5(x+3)= 12
C) 5x+3= 12
D) 5x+3=x
The right answer is Option B: 5(x+3)=12
Step-by-step explanation:
“The product of five and the sum of a number x and three is twelve”
First;
The sum of a number x and 3 = x+3
Product means multiplication,
Therefore,
Product of five and sum of a number x and three = 5(x+3)
is twelve means that the answer will be 12
5(x+3)=12
The right answer is Option B: 5(x+3)=12
Keywords: linear equation, addition
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Answer:
The right answer is Option B: 5(x+3)=12
Step-by-step explanation:
“The product of five and the sum of a number x and three is twelve”
First;
The sum of a number x and 3 = x+3
Product means multiplication,
Therefore,
Product of five and sum of a number x and three = 5(x+3)
is twelve means that the answer will be 12
5(x+3)=12
The right answer is Option B: 5(x+3)=12
Keywords: linear equation, addition
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Step-by-step explanation:
PLEASE HELP ANSWER THESE
Good evening ,
Answer:
1. t=44°
2. none is correct
3. V=12°
Step-by-step
look at the photo below for the details.
:)
Jolie sends between 22 and 23 text messages per day. Each text message costs $0.89. Suppose Jolie's cellular bill spans a period of 6 weeks. Which is a reasonable amount that she would spend on text messages on one cellular bill? A. $135 B. $9,108 C. $945 D. $158
Answer:
C. $945
Step-by-step explanation:
Cost of 1 cellular bill = (number of text msgs per day) x (cost per text msg) x (number of days in billing period)
in this case, it is given that :
cost per text msg = $0.89
number of texts per day = 22 or 23
billing cycle = 6 weeks = 6 x 7 = 42 days
hence,
Cost of 1 cellular bill = (22 or 23) x $0.89 x 42 days
if she sends 22 messages,
Cost of 1 cellular bill = (22) x $0.89 x 42 days= $822.36
if she sends 23 messages,
Cost of 1 cellular bill = (2) x $0.89 x 42 days= $859.74
if we compare thse 2 numbers that we have calculated with the choices, the closest match would be C. $945. The rest are just too far away in comparison.
(-0.5x-0.4)-8(0.75x-0.6)
Answer: -6.5x+4.4
Step-by-step explanation:
If Laura bought 2.1 pounds of apples is the price per pound of apples greater or less than $1
Answer:
The price per pound of apples is greater than $1.
Step-by-step explanation:
Please consider the complete question:
Three coworkers decided to buy fruit to share at lunch time. Antonii spent $1.47 on bananas.Laura spent $2.88 on apples. Suzanne spent $2.85 on oranges. If Laura bought 2.1 pounds of apples, is the price per pound of apples greater than or less than $1 ? how can you tell?
To find the price of apples per pound, we need to divide total amount paid by Laura ($2.88) with total pounds of apples (2.1 pounds) bought.
[tex]\text{Price of apples per pound}=\frac{\$2.88}{2.1}[/tex]
[tex]\text{Price of apples per pound}=\$1.37142857[/tex]
Since the price of apples per pound is $1.37, therefore, the price per pound of apples is greater than $1.
We can simply tell that the price per pound of apples is greater than $1 because 2.88 is greater than 2.1. So when we will divide 2.88 by 2.1, then we will get a number greater than 1.
To find the price per pound of apples, we divide the total cost of the apples by the weight of the apples.
Explanation:To determine whether the price per pound of apples is greater or less than $1, we need to divide the total cost of the apples by the weight of the apples. The question states that Laura bought 2.1 pounds of apples. To find the total cost, we can use the information given in the reference:
10 apples × 50 cents each = $5.00 spent on apples in 2001.
Dividing $5.00 by 2.1 pounds gives us the price per pound of apples Laura bought, which is approximately $2.38. Therefore, the price per pound of apples is greater than $1.
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what is the value of x if Lines 1 and 2 are parallel? LINE 1: (-2,5) and (0,0) LINE 2: (x,12) and (-3,2)
Answer:
x=-7
Step-by-step explanation:
The value of x if, Lines 1 and 2 are parallel, LINE 1: (-2,5) and (0,0) LINE 2: (x,12) and (-3,2) is -7.
What is line?An object having an endless length and no width, depth, or curvature is called a line. Since lines can exist in two, three, or higher-dimensional environments, they are one-dimensional things.
Given:
Line 1 and line 2 are parallel,
The coordinates of lines are given as,
LINE 1: (-2, 5) and (0, 0) LINE 2: (x, 12) and (-3, 2)
As we know that the slope of the parallel lines is equal,
Calculate the slope of Line 1 as shown below,
Slope = 0 - 5 / 0 - (-2)
Slope = -5 / 2
Thus, for the second line,
The slope of Line 2 = (2 - 12) / (-3 - x)
-5 / 2 = -10 / -3 - x
-5(-3 - x) = -20
15 + 5x = -20
5x = -20 - 15
x = -35 / 5
x = -7
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De tanque lleno de agua,se utilizan las dos quintas partes y luego los tres cuartos del resto. Si aún quedan 240 litros ¿cuántos litros tiene?
Answer:
120.35
Step-by-step explanation:
De tanque lleno de agua,se utilizan las dos quintas partes y luego los tres cuartos del resto. Si aún quedan 240 litros ¿cuántos litros tiene?
2/5- 3/4=-0.35
tienes 120 galones más el 0.35
120+0.35=120.35
que tengas un buen día!!!!!!!!!!!!!
The initial amount of water in the tank was 1600 liters.
Let's denote the initial amount of water in the tank as W.
First, two-fifths of the water are used, leaving [tex]\(\frac{3}{5}\)[/tex] of the water remaining.
[tex]\[\text{Remaining amount} = \frac{3}{5} \times W\][/tex]
Then, three-quarters of the remaining water are used, leaving \(\frac{1}{4}\) of the remaining water.
[tex]\[\text{Final amount} = \frac{1}{4} \times \left(\frac{3}{5} \times W\right)\][/tex]
According to the problem, the final amount is 240 liters:
[tex]\[\frac{1}{4} \times \left(\frac{3}{5} \times W\right) = 240\][/tex]
Now, solve for W:
[tex]\[\frac{3}{5} \times W = 240 \times 4\][/tex]
[tex]\[\frac{3}{5} \times W = 960\][/tex]
[tex]\[W = \frac{960 \times 5}{3}\][/tex]
[tex]\[W = 1600\][/tex]
So, the initial amount of water in the tank was 1600 liters.
CAN SOMEONE HELP ME WITH REFLECTIONS??
Answer:
(5, 2 )
Step-by-step explanation:
Under a reflection in the x- axis
a point (x, y ) → (x, - y ), thus
P(5, - 2 ) → P'(5, - (- 2)) → P'(5, 2 )
You are choosing between two long-distance telephone plans. Plan A has a monthly fee of $40.00 with a charge of $0.05 per minute for all long-distance calls. Plan B has a monthly fee of $15.00 with a
charge of $0.10 per minute for all long-distance calls. Complete parts a and b.
a. For how many minutes of long-distance calls will the costs for the two plans be the same?
minutes
Answer:
The number of minutes of call for long distance is 500 minutes .
Step-by-step explanation:
Given as :
The two different long distance telephones plans are plan A and Plan B
Plan A
monthly fee = $40.00
The charge per minute = $0.05
Plan B
monthly fee = $15.00
The charge per minute = $0.10
now, for both plans
Let The number of minutes of call for long distance = n minutes
So, According to question
∵ The both plans to be same
Monthly fee for plan A + The charge per minute × number of minutes of call for long distance for A = Monthly fee for plan B + The charge per minute × number of minutes of call for long distance calls for B
i.e $40.00 + $0.05 × n = $15.00 + $0.10 × n
Or, $40.00 - $15.00 = $0.10 × n - $0.05 × n
Or, $25 = $0.05 × n
∴ n = [tex]\dfrac{25}{0.05}[/tex]
I.e n = 500 minutes
So, The number of calls minutes = n = 500 minutes
Hence, The number of minutes of call for long distance is 500 minutes . Answer
Select the correct answer from each drop down
Answer:
The average rate of change on [1,3] is [tex]\frac{1}{2}[/tex] the average rate of change on [2,4]. The average rate of change on [1,3] is [tex]\frac{2}{5}[/tex] the average rate of change on [1,5]. So the function can not be linear.
Step-by-step explanation:
See the table attached.
The average rate of change on [1,3] is = [tex]\frac{32 - 8}{3 - 1} = 12[/tex]
The average rate of change on [2,4] is = [tex]\frac{64 - 16}{4 - 2} = 24[/tex]
Again, the average rate of change on [1,5] is = [tex]\frac{128 - 8}{5 - 1} = 30[/tex]
Therefore, the average rate of change on [1,3] is [tex]\frac{1}{2}[/tex] the average rate of change on [2,4]. The average rate of change on [1,3] is [tex]\frac{2}{5}[/tex] the average rate of change on [1,5]. So the function can not be linear. (Answer)
What is the period of the function y= 2 sin x?
Answer:
π
Step-by-step explanation:
Y= 2 sin(2X)
Analytically,
The Amplitude is 2, while the Period is 2π/2, same as π
6.
(06.02)
Which of these is the algebraic expression for "some number to the power of 4?" (3 points)
x4
4x
4x
x + 4
Answer:
its definitely A, because it is some number to the power of 4
Step-by-step explanation: