The fraction of her clothes that is left is 1/8.
To solve this problem, we first need to determine the fractions of clothes Christen sells to Maria and Alexandra. Christen sells 5/8 of her clothes to Maria and 1/4 to Alexandra. To find the total fraction of clothes sold, we can add these two fractions:
(5/8) + (1/4)
To add fractions, we need a common denominator. In this case, the least common denominator is 8. We can convert 1/4 to 2/8:
(5/8) + (2/8) = 7/8
Christen sold 7/8 of her clothes to Maria and Alexandra. To find the fraction of clothes left, we subtract this value from the total, which is 1:
1 - (7/8) = 1/8
So, Christen has 1/8 of her clothes left after selling to Maria and Alexandra.
Learn more about fraction here: https://brainly.com/question/30154928
#SPJ11
Tavon wants carpet in his bedroom. The room is 3 yards by 4 yards. How many square feet of carpet does he need?
Answer:
12 square yards of carpet
Step-by-step explanation:
area is l x w so 3 x 4 = 12
pls vote me brainliest
Given the point (2.-4) scale the point to a factor of 3
Hey there! I'm happy to help!
To increase a point by a certain scale factor, you multiply each number inside the point by that scale factors. Ours is 3.
2(3)=6
-4(3)=-12
So, our final point is (6,-12).
Have a wonderful day! :D
how do i figure this out?
the answer is 34
in order to find answer:
enter tan^-1( 2/3 into calculator
2 is on oppisite side and 3 is on adjacent so we use tan = o/a
Enhanced - with Hints and Feedback At 100°C the rms speed of nitrogen molecules is 576 m/s. Nitrogen at 100°C and a pressure of 2.4 atm is held in a container with a 13 cm x 13 cm square wall.
At 100°C, the nitrogen molecules in the container have an rms speed of 576 m/s. The pressure inside the container,
which is at a pressure of 2.4 atm, is a result of the collisions of these fast-moving molecules with the walls of the container. The area of the wall is 13 cm x 13 cm, which means there is a total surface area of 169 cm^2.
The collisions of the nitrogen molecules with this surface area will result in a force on the wall, which is what creates the pressure.
Overall, the properties of the nitrogen molecules, including their speed and number, contribute to the overall pressure inside the container.
To know more about area click here
brainly.com/question/13194650
#SPJ11
Select the correct answer. which of earth’s systems was most affected by fossilized dinosaurs? a. biosphere b. hydrosphere c. lithosphere d. atmosphere
Answer:
The Earth's system which was affected the most by fossilized dinosaurs was the lithosphere.
-60=x-16, -60+?=x-16+?
The value of x when using addition property of equality to solve the given problem is; -44
How to use addition property of equality?The addition property of equality is a property of equality that states that when the same quantity is added to both sides of an equation, it will produce an equivalent equation. For example, 4 = 2 + 2 is an equation due to the fact that both the right and the left-hand sides of the equal sign represent the number 4.
The equation to solve is;
-60 = x - 16
By the use of addition property of equality, we will add 16 to both sides to get;
-60 + 16 = x - 16 + 16
x = -44
Read more about addition property of equality at; https://brainly.com/question/1601404
#SPJ1
a restaurant bill without tax and tip comes to $38.40. if a 15% tip is included after a 6% tax isadded to the amount, how much is the tip?
Answer:
$38.40 × 1.06 = $40.70 before tip
$40.70 × .15 = $6.11 tip
The tip on a restaurant bill that comes to $38.40 before tax and tip, with a 6% tax added and a 15% tip included, is $6.11.
To solve this problem, we need to first calculate the total cost of the meal with tax.
The tax is calculated by multiplying the pre-tax amount ($38.40) by the tax rate (6% expressed as a decimal, which is 0.06):
Tax = $38.40 x 0.06 = $2.30
So the total cost of the meal with tax is:
Total cost = $38.40 + $2.30 = $40.70
Next, we need to calculate the amount of the tip by multiplying the total cost by the tip rate (15% expressed as a decimal, which is 0.15):
Tip = $40.70 x 0.15 = $6.11
Therefore, the tip amount is $6.11.
Learn more about total cost here:
brainly.com/question/30355738
#SPJ11
If the total is 504$ and I take off 40$ what’s the percentage of 40?
Answer:
7.93%
Step-by-step explanation:
504/100 = 5.04
40/5.04 = 7.93%
3) ml - 6x — 7 and 22 - 4x + 7.
Find x.
{0.2x+0.6y=3.6 0.4x-0.9y=-1.2} what is the answer
Answer:
68266==874624./4
Step-by-step explanation:
77353877473=287365-2874662kkh=2875
i dont get how to do these questions
-25x=-150
Answer:
x=6
Step-by-step explanation:
you divide -25 on both sides
-25x=-150
divido todo por -25 lo que me da es
x=6
71/3 - 21/4 (2 1/5 × 3/4) with working
Help me please I am having trouble figuring out the answer. Help me find the ratio.
Answer:
not equivalent to meteorologists ratio
Step-by-step explanation:
meteorologists ratio is
rainy days : sunny days = 2 : 5
last months weather is
rainy days : sunny days
= 10 : 20 ( divide both parts by LCM of 10 )
= 1 : 2 ← not equivalent to 2 : 5
x2+5x−7 when x=2. solve
Answer:
7
Step-by-step explanation:
Given:
x2+5x-7
Substitute:
(2)2+5(2)-7
Pemdas:
4+10-7
PemdAs:
14-7
PemdaS:
7
Which type of scale would be least helpful to the researcher who wants to know how intensely respondents feel about a brand
A nominal scale would be least helpful to a researcher who wants to know how intensely respondents feel about a brand.
Nominal scales classify responses into distinct orders or markers without any essential order or numerical value. They're generally used for qualitative or categorical data where responses are mutually exclusive and there's no essential ranking or intensity associated with the orders. To measure the intensity of passions about a brand, a experimenter would need a scale that allows repliers to express their position of intensity or strength of their passions.
Nominal scales, similar as a" yea/ no" or" agree/ differ" scale, don't give the necessary granularity to capture the intensity of feelings or passions directly. They only indicate whether a replier belongs to a particular order without secerning the position of intensity. rather, ordinal or interval scales would be more applicable for landing the intensity of passions.
Learn more about sound scale at
https://brainly.com/question/31685420
#SPJ4
what is the weighted mean, mean, and median overall rate of return on this investment portfolio?
The weighted mean takes into account the weight of each investment and can provide a more accurate measure of the overall rate of return on the portfolio than the mean or median.
The weighted mean, mean, and median overall rate of return on this investment portfolio can be calculated using the following formulas:
Weighted Mean: Weighted mean = (R1 x W1) + (R2 x W2) + (R3 x W3) + ...
Mean: Mean = (R1 + R2 + R3 + ...) / N
Median: Median = (N + 1) / 2
where R1, R2, etc. are the returns on individual investments, W1, W2, etc. are the weights assigned to each investment, and N is the total number of investments in the portfolio.
for such more questions on investment portfolio
https://brainly.com/question/30185428
#SPJ11
what are the coordinates of point B' after triangle ABC is reflected across the y-acis
Answer:
B'(-3, 2)
Explanation:
In the triangle, point B is at (3, 2).
We want to find the coordinates of B', the image of B when triangle ABC is reflected over the y-axis.
When a point (x,y) is reflected over the y-axis, the transformation rule is:
\((x,y)\to(-x,y)\)This means that the x-coordinate changes to the opposite sign while the y-coordinate stays the same.
Applying this rule, we have:
\(B(3,2)\to B^{\prime}(-3,2)\)Thus, the coordinates of point B' after triangle ABC is reflected across the y-axis will be B'(-3, 2).
Write an equation describing the relationship of the given variables. One factor will go within each submission box.
1) Considering that y varies directly as the fourth power of x. So we can write:
\(y=kx^4\)2) But notice, we were told when x=1, y=6 so we can write out:
\(\begin{gathered} y=kx^4^{} \\ 6=k(1)^4 \\ k=6 \\ \end{gathered}\)Note that now, we know the constant "k" of proportionality. Then we can write the following equation:
\(y=6x^4\)Thus, this is the answer.
Solve for b
a) 2b x 3 = 6 c) 6 + 7b = 41
b) 32 - 3b = 2 d) 100/ 5b = 2
a) The solution for b in the equation 2b × 3 = 6 is b = 1.
b) The solution for b in the equation 32 - 3b = 2 is b = 10.
c) The solution for b in the equation 6 + 7b = 41 is b = 5.
d) The solution for b in the equation 100/5b = 2 is b = 10.
a) To solve for b in the equation 2b × 3 = 6, we can start by dividing both sides of the equation by 2 to isolate b.
2b × 3 = 6
(2b × 3) / 2 = 6 / 2
3b = 3
b = 3/3
b = 1
Therefore, the solution for b in the equation 2b × 3 = 6 is b = 1.
c) To solve for b in the equation 6 + 7b = 41, we can start by subtracting 6 from both sides of the equation to isolate the term with b.
6 + 7b - 6 = 41 - 6
7b = 35
b = 35/7
b = 5
Therefore, the solution for b in the equation 6 + 7b = 41 is b = 5.
b) To solve for b in the equation 32 - 3b = 2, we can start by subtracting 32 from both sides of the equation to isolate the term with b.
32 - 3b - 32 = 2 - 32
-3b = -30
b = (-30)/(-3)
b = 10
Therefore, the solution for b in the equation 32 - 3b = 2 is b = 10.
d) To solve for b in the equation 100/5b = 2, we can start by multiplying both sides of the equation by 5b to isolate the variable.
(100/5b) × 5b = 2 × 5b
100 = 10b
b = 100/10
b = 10.
Therefore, the solution for b in the equation 100/5b = 2 is b = 10.
In summary, the solutions for b in the given equations are:
a) b = 1
c) b = 5
b) b = 10
d) b = 10
For similar question on equation.
https://brainly.com/question/30451972
#SPJ8
Find the area of the shape shown below Please help :(
Answer:
18 units^2
Step-by-step explanation:
Formula for Area of trapezoid: ( base 1 + base 2 / 2) * height
(3 + 9 / 2) * 3 = (12 / 2) * 3 = 6 * 3 = 18 units^2
I hope this helps
Answer:
18²
Step-by-step explanation:
Formula for a trapezium:
Area = base1 + base2/2 × height
3 + 9/2 × 3
= 12/2 × 3
18²
Work out the equation of the line which has a gradient of -2 and
passes through the point (1, 7)
Answer:
y = -2x + 9
Step-by-step explanation:
1) Use the equation y = mx + c (m being gradient and c being y-intercept)
2) Substitute all the values to get 7 = -2(1) + c
3) Solve to get c:
7 = -2 + c9 = c4) Final answer: y = -2x + 9
Ben counted 54 boys and girls at a playground. There are 8 times more boys than girls. How many boys are there?
Answer:
boys=48
Step-by-step explanation:
b+g=54
b=8g
b=54-g
b=8(54-b)
b=432-8b
b+8b=432
9b=432
divide by 9 gives as 48 boys
A student uses the equation tangent theta = startfraction s squared over 49 endfraction to represent the speed, s, in feet per second, of a toy car driving around a circular track having an angle of incline theta, where sine theta = one-half. to solve the problem, the student used the given value of sine theta to find the value of tangent theta and then substituted the value of tangent theta in the equation above to solve for s. what is the approximate value of s, the speed of the car in feet per second? 5.3 7.5 9.2 28.3
The approximate value of the speed of the car in feet per second is A. 5.32 ft/s.
How to find the spped?An equation is an expression that shows the relationship between two or more numbers and variables. In this case, tan(θ) = s² / 49
sinθ = 1/2
θ = sin⁻¹ (0.5) = 30⁰
tan(30) = s² / 49
s = 5.32 ft/s
Therefore, the approximate value of the speed of the car in feet per second is 5.32 ft/s.
Learn more about speed on:
https://brainly.com/question/13943409
If you hold a rubber ball in your hand and let it go, it begins to move. Describe the motion of the ball and identify the force that causes it to move.
Find the area of the figure. Show work and explain please.
Answer:
464 units²
Explanation:
Part A
Length × Width = 8 × 16 = 128 units²
Part B
Length × Width = 24 × 8 = 192 units²
Part C
Length × Width = 12 × 4 = 48 units²
Part D
Length × Width = 24 × 4 = 96 units²
Total Area: 128 + 192 + 48 + 96 = 464 units²
Answer:
464 units²
Step-by-step explanation:
The quickest way to determine the area of the figure is to calculate the area of the total rectangle, then subtract the missing parts.
(see attached diagram)
Total area of the rectangle = width × length
= 24 × (16 + 4 + 4)
= 24 × 24 ← the shape is actually a square!
= 576 units²
Missing Area 1
Top left square = 8 × 8
= 64 units²
Missing Area 2
Bottom right rectangle = 4 × 12
= 48 units²
Total area = area of rectangle - missing area 1 - missing area 2
= 576 - 64 - 48
= 512 - 48
= 464 units²
You wish to estimate with 90% confidence, the population proportion of U. S adults who eat fast food four to six times per week. Your estimate must be accurate within 3% for the population proportion. A) No preliminary estimate is available. Find the minimum sample size needed. B) Find the minimum sample size needed, using a proper study that found that 11% of U. S adults eat fast food four to six times per week
We need a minimum sample size of 336 to estimate the population proportion of U.S. adults who eat fast food four to six times per week with a 90% confidence level.
A) When there is no preliminary estimate available, we can use the worst-case scenario, which is p = 0.5 (since this gives the maximum possible variability). The margin of error is given as 3% or 0.03. The formula to calculate the minimum sample size needed is:
n = [Z² x p x (1 - p)] / E²
where Z is the z-value for the desired confidence level, p is the population proportion, and E is the margin of error.
At 90% confidence, the z-value is 1.645. Plugging in the values, we get:
n = [(1.645)² x 0.5 x (1 - 0.5)] / (0.03)²
n ≈ 1217.75
We need a minimum sample size of 1218 to estimate the population proportion of U.S. adults who eat fast food four to six times per week with a 90% confidence level and an accuracy of 3%.
B) If a proper study found that 11% of U.S. adults eat fast food four to six times per week, we can use this as a preliminary estimate and calculate the minimum sample size needed with the formula:
n = [Z² x p x (1 - p)] / E²
where p is the preliminary estimate of the population proportion (0.11), and the other variables are the same as before.
At 90% confidence, the z-value is 1.645. Plugging in the values, we get:
n = [(1.645)² x 0.11 x (1 - 0.11)] / (0.03)²
n ≈ 335.77
To know more about confidence level, refer:
https://brainly.com/question/20164553
#SPJ4
PLEASE HELP!!!!
Alexia, Benito, and Carmen won a team art competition at their local park. As
part of their prize, they can paint the 5 km (5000 m) paved path through the
park any way they like.
They decided Alexia will paint the first 70 m, then Benito will paint the next
15 m, then Carmen will paint the next 35 m. They will keep repeating this
pattern until they reach the end of the 5 km path.
What percentage of the path will each person paint?
Answer:
Alexa: 58.8%
Benito: 12.5%
Carmen: 28.7%
Step-by-step explanation:
(70m + 15m + 35m)x=5000
x=41.67 times
41x120m=4920m, leaving 80 m which Alexa and Benito got an extra time.
Alexa painted 42 times
Benito painted 41.67 times
Carmen painted 41 times
Alexa: 42x70m=2940m, 2940/5000=58.8%
Benito: 41.67x15m=625m, 625/5000=12.5%
Carmen: 41x35m=1435m, 1435=/5000=28.7%
CAN SOMEONE PLEASE CHECK MY ANSWER!!!!!
Answer:
It is not correct, but very, very close, so great job!!
Step-by-step explanation:
When doing graphing of this sort, I always use Desmos to check my answers, so just get the website and go to the graphing calculator, type in the function, and you should get your graph.
The only thing you missed was that the other two points are (-3,-1) and (3,-1), rather than 3 and -3.
Write the system of linear equations in the form Ax = b and solve this matrix equation for x.
−2x1 − 3x2 = −23
6x1 + x2 = −3
Solving the given equations by matrix method we get the value of x₁ and x₂ to be -2 and -9 respectively.
We have the equations
−2x₁ − 3x₂ = −23
6x₁ + x₂ = −3
Here we will arrange the coefficients in one matrix, and the variables in the other to get
\(\left[\begin{array}{ccc}-2&-3\\6&1\\\end{array}\right] \left[\begin{array}{ccc}x_1\\x_2\\\end{array}\right] = \left[\begin{array}{ccc}-23\\-3\\\end{array}\right]\)
Now we will take the co-efficient matrix on the other side to get its inverse like
\(\left[\begin{array}{ccc}x_1\\x_2\\\end{array}\right] = \left[\begin{array}{ccc}-2&-3\\6&1\\\end{array}\right]^{-1}\left[\begin{array}{ccc}-23\\-3\\\end{array}\right]\) (1)
The inverse of a 2X2 matrix is given by
\(A^{-1} = \left[\begin{array}{cc}a&b\\c&d\end{array}\right]^{-1} = \frac{1}{|A|} \left[\begin{array}{cc}d&-b\\-c&a\\\end{array}\right]\)
Hence we get
\(\left[\begin{array}{cc}-2&-3\\6&1\\\end{array}\right]^{-1} = \frac{1}{16} \left[\begin{array}{cc}1&3\\-6&-2\\\end{array}\right] = \left[\begin{array}{cc}\frac{1}{16} &\frac{3}{16}\\\frac{-3}{8}&\frac{1}{8}\\\end{array}\right]\)
Now we will put the value of the inverse obtained in the equation above we will now multiply the two matrices in the RHS to get the value of x₁ and x₂
\(\left[\begin{array}{cc}x_1\\x_2\end{array}\right] = \left[\begin{array}{cc}\frac{1}{16} &\frac{3}{16}\\\frac{-3}{8}&\frac{1}{8}\\\end{array}\right] \left[\begin{array}{cc}-23\\-3\end{array}\right] = \left[\begin{array}{cc}-2\\9\end{array}\right]\)
Hence here we get the value of x₁ and x₂ to be -2 and -9 respectively.
To learn more about Matrices visit
https://brainly.com/question/30729865
#SPJ4
Someone please help me with this equation. Thank you so much!!