Answer: a=5
Step-by-step explanation:
1/12a=10/24
24a=120
a= 5
Please answer ASAP. The question is down below
Answer: A
Step-by-step explanation:
Notes: Dividing by a fraction means to multiply by its reciprocal.
The denominator cannot equal zero.
[tex]\dfrac{5a^3bc}{8ab^3}\div\dfrac{-ab^2}{6a^5b}\cdot \dfrac{2a^2b^3}{3b}\qquad \rightarrow a\neq 0,b\neq 0\\\\\\=\dfrac{5a^3bc}{8ab^3}\cdot\dfrac{6a^5b}{-ab^2}\cdot \dfrac{2a^2b^3}{3b}\\\\\\=\dfrac{5\cdot 6\cdot 2\quad a^3\cdot a^5\cdot a^2\quad b\cdot b\cdot b^3\quad c}{8\cdot -1 \cdot 3\quad a\cdot a\qquad b^3\cdot b^2\cdot b \quad}\\\\\\=\dfrac{-60a^{10}b^5c}{-24a^2b^6}\\\\\\=\dfrac{-5a^8c}{2b}[/tex]
Marta esta poniendo sus libros en una estantería. Le faltan 7 libros para poder poner 12 en cada estante; sin embargo, si pone 10 libros en cada estante, se quedan 5 libros sin poner. ¿Cuantos es antes tiene la estantería?
Answer:
x = 6 la cantidad de estantes
y = 65 cantidad de libros
Step-by-step explanation:
LLamemos "x" la cantidad de estantes que tiene Marta, y llamaremos "y" la cantidad de libros.
La primera condición que se debe cumplir es que cuando Marta coloca 12 libros en cada estante entonces le faltan 7, esto lo expresamos así:
y + 7 = 12*x (1)
La segunda condición establece que si Marta coloca los libros en número de 10 por estante le quedan 5 sin colocar, luego esto en lenguaje matemático se expresa así:
y - 5 = 10*x (2)
Ahora hemos obtenido un sistema de dos ecuaciones con dos incógnitas que se resuelve por cualquiera de los métodos conocidos, usaremos el método de sustitución.
Despejamos y en la primera ecuación y lo sustituimos en la segunda, de esa forma obtendremos el valor de x
y = 12*x - 7
(12*x - 7 ) - 5 = 10*x
2*x -12 = 0
2*x = 12
x = 6 la cantidad de estantes, y
y = 12*x -7
y = 72 - 7
y = 65 cantidad de libros
kinda confused buttttt anyone know this?
Answer:
Hey there!
The overlapping part is the product.
Thus, the product is 1/8.
Hope this helps :)
What are the lower quartile, upper quartile, and median for this box and
whisker plot?
A) LQ = 22 UQ = 10 Median = 18.5
B) LQ = 10 UQ = 22 Median = 18
C) LQ = 10 UQ = 22 Median = 18.5
D) LQ = 10 UQ = 22 Median = 19
Answer:
C
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
The lower quartile range is shown by the bottom of the box which is at 10.
The median is shown in the middle line, which is closer to 18 than 18.5.
The upper quartile range in the end of the box, which is at 22!
(You can also look at the picture attached if that helps.)
Solve logs (8 - 3x) = log20 for x.
A. X = 14
B. X = -13
C.x = -8
D. X= -4
Answer:
x = -4
Step-by-step explanation:
logs (8 - 3x) = log20
Since we are taking the log on each side
log a = log b then a = b
8 -3x = 20
Subtract 8 from each side
8 -3x-8 =20 -8
-3x = 12
Divide by -3
-3x/-3 = 12/-3
x = -4
Answer:
[tex] \boxed{\sf x = -4} [/tex]
Step-by-step explanation:
[tex] \sf Solve \: for \: x \: over \: the \: r eal \: numbers:[/tex]
[tex] \sf \implies log(8 - 3x) = log 20[/tex]
[tex] \sf Cancel \: logarithms \: by \: taking \: exp \: of \: both \: sides:[/tex]
[tex] \sf \implies 8 - 3x = 20[/tex]
[tex] \sf Subtract \: 8 \: from \: both \: sides:[/tex]
[tex] \sf \implies 8 - 3x - 8 = 20 - 8 [/tex]
[tex] \sf \implies - 3x = 12 [/tex]
[tex] \sf Divide \: both \: sides \: by \: - 3:[/tex]
[tex] \sf \implies \frac{-3x}{-3} = \frac{12}{-3} [/tex]
[tex] \sf \implies x = - 4[/tex]
How many significant figures does each value contain? 5.6803 kg has significant figures. 0.00047 seconds has significant figures. 0.240 miles has significant figures.
Answer:
5.6803 has five significant figures.
0.00047 has two significant figures.
0.240 has three significant figures.
What are Significant Figures?Significant figures are numbers that are necessary to express a true value.
Place the values in scientific notation.
[tex]5.6803 * 10^{0} = 5.6803\\\\4.7 * 10^{-4} = 0.00047\\\\2.4 * 10^{-1}=0.240[/tex]
Explanation5.6803
The zero that is within 5.6803 is "trapped," meaning it is in between two nonzero digits. Therefore, all five digits are significant figures.
This answer is also already in scientific notation because 5.6803 satisfies the inequality [tex]1 < x < 10[/tex], which decides if a number is correctly written in scientific notation or not.
0.00047
The zeroes that precede the 4 and the 7 are not significant because they are dropped in scientific notation and are not trapped by other nonzero digits. Therefore, only two digits of this value are significant.
0.240
Since the zero at the end of 0.240 is a trailing zero, it is significant along with the 2 and the 4. The zero that precedes these digits and the decimal point is not significant. Therefore, only three digits of this value are significant.
Therefore:
5.6803 has five significant figures.
0.00047 has two significant figures.
0.240 has three significant figures.
ANSWER QUICKLY PLZZZZZZ ASAP
READ QUESTIONS CAREFULLY
In a given set of data, if the variance is 25, what is the standard deviation? *
Explanation: apply the square root to the variance to get the standard deviation
standard deviation = sqrt(variance)
variance = (standard deviation)^2
Based on the variance of the set of data and the definition of standard deviation, the standard deviation here must be 5.
Standard deviation allows us to measure how far apart variables are in a data set.
It is calculated as:
= √Variance
= √25
= 5
In conclusion, the standard deviation is 5 .
Find out more at https://brainly.com/question/14283696.
We can calculate E, the amount of euros that has the same value as D U.S. dollars, using the equation e=17/20d. How many U.S. dollars have the same value as 1 euro?
Answer:
1.18 dollar.
Step-by-step explanation:
E = 17/20D
E => The amount in euros.
D => The amount in dollars.
From the question given,
E = 1
D =?
E = 17/20D
1 = 17/20D
Cross multiply
20 x 1 = 17D
20 = 17D
Divide both side by 17
D = 20/17
D = 1.18
Therefore, 1.18 dollar is equivalent to 1 euro.
Answer:
How many Euros have the same value as 1 U.S. dollar?
17/20 euros
How many U.S. dollars have the same value as 1 euro?
59/50 dollars
(or 0.85 either one is correct)
Step-by-step explanation:
Khan Academy
Hope this helps! ;)
Combine the radicals. 3√5-8√5+2√5
Answer: [tex]-3\sqrt{5}[/tex]
-3 times the square root of 5
=============================================
Explanation:
Let [tex]x = \sqrt{5}[/tex]
Replace all the root 5 terms with x and we go from
[tex]3\sqrt{5}-8\sqrt{5}+2\sqrt{5}[/tex]
to
[tex]3x-8x+2x[/tex]
From here, combine like terms to get
[tex]3x-8x+2x = -5x+2x = -3x[/tex]
and the last thing to do is replace the x with sqrt(5)
[tex]-3x = -3\sqrt{5}[/tex]
Meaning that,
[tex]3x-8x+2x = -3x[/tex]
[tex]3\sqrt{5}-8\sqrt{5}+2\sqrt{5} = -3\sqrt{5}[/tex]
What were Malcolm's and Ravi's maximum speeds?
Answer:
Malcom's maximum speed = 200 km/h
Ravi's maximum speed = 320 km/h
Step-by-step explanation:
Represent the maximum speed of Malcolm and Ravi with equation as follows:
Let Malcom's speed be x, and Ravi's speed by y.
The average of speed is said to be 260 km/h. An equation to represent this is: [tex] \frac{x + y}{2} = 260 [/tex]
[tex] x + y = 260*2 [/tex]
[tex] x + y = 520 [/tex] => equation 1.
We are also told that when Malcom's speed (x) is doubled it equal 80 km/hr more than Ravi's speed (y). An equation can be created for this, which is [tex] 2x = y + 80 [/tex]
[tex] 2x - y = 80 [/tex] => equation 2
Now that we have 2 equations as a system, solve for the values of x and y simultaneously.
Add both equations together to eliminate y
[tex] x + y = 520 [/tex]
[tex] 2x - y = 80 [/tex]
[tex] 3x = 600 [/tex]
[tex] x = \frac{600}{3} [/tex]
[tex] x = 200 [/tex]
Plug in the value of x into equation 1 to find y.
[tex] 200 + y = 520 [/tex]
[tex] y = 520 - 200 [/tex]
[tex] y = 320 [/tex]
Malcom's maximum speed = x = 200 km/h
Ravi's maximum speed = y = 320 km/h
Brian is building a wood frame around a window in his house. If the window is 4 feet by 5 feet, how much wood does he need for the frame?
Answer:
18 feet
Step-by-step explanation:
to find the frame around the widow means need to find the perimeter around the window:
P=2l+2w
P= 2(5+4)
P=18 feet
What number must be added to the expression for it to equal zero? (–6.89 + 14.52) + (–14.52)
Answer:
The number to be added is 6.89
Step-by-step explanation:
Here, we want to know what number must be added to the expression to make it equal to zero.
Let the number be x
Thus;
-6.89 + 14.52 -14.52 + x = 0
-6.89 + x = 0
x = 6.89
Which expression is equivalent to (–2)(a + 6)?
A. –2a + 6
B. 2a + 12
C. –2a – 12
D. –2a + 12
The answer is option c.
please help me you will recieve 5 stars IF RIGHT ANSWER !
Answer:
[tex]\huge\boxed{\frac{7}{8}}[/tex]
Step-by-step explanation:
[tex](\frac{49 }{64})^{1/2}[/tex]
=> [tex](\frac{7^2}{8^2} )^{1/2}[/tex]
=> [tex]\frac{7^{2*1/2}}{8^{2*1/2}}[/tex]
=> [tex]\frac{7}{8}[/tex]
Answer:
Below
Step-by-step explanation:
You should now that:
● (m/n)^(1/2) = √(m/n)
So:
● (49/64)^(1/2) = √(m/n)
You shoukd now also that:
● √(m/n) = √m / √n
So:
● √(49/64) = √49/√64
Notice that 64 = 8^2 and 49 = 7^2
● √49 / √64 = √(7^2)/√(8^2) = 7/8
So the answer is 7/8
Which statement best illustrates using the vertical line test to determine if the graph below is a function of x? The graph is not a function of x because the line x = 0 intersects the graph at two points. The graph is a function of x because the line x = 5 does not intersect the graph. The graph is not a function of x because the line y = 0 intersects the graph at two points. The graph is a function of x because the line y = 5 does not intersect the graph.
Answer:
The graph is not a function of x because the line x = 0 intersects the graph at two points.
Step-by-step explanation:
This graph is not a function because it fails the vertical line test, since several vertical lines would intersect the graph at 2 points.
This answer choice is correct, as the line x = 0 intersects the graph at 2 points, (0, 2) and (0, -2).
Answer:
A
Step-by-step explanation:
asap!!
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A line passes through point (–6, –1) and is parallel to the equation y = –2x – 5. What's the equation of the line?
Question 25 options:
y = –2x – 13
y = 12{"version":"1.1","math":"\(\frac{1}{2}\)"}x + 3
y = –12{"version":"1.1","math":"\(\frac{1}{2}\)"}x – 1
y = 2x + 5
click on picture for a, b, c ,or d
Answer:
y=−2x−13.
Step-by-step explanation:
The equation of the line in the slope-intercept form is y=−2x−5.
The slope of the parallel line is the same: m=−2.
So, the equation of the parallel line is y=−2x+a.
To find a, we use the fact that the line should pass through the given point: −1=(−2)⋅(−6)+a.
Thus, a=−13.
Therefore, the equation of the line is y=−2x−13.
there are 63 students marching in a band, and they're marching in 7 rows how many students are in each row
Answer:
9 people per row
Step-by-step explanation:
63/7=9
let me now if right
**Yoxelt buys 4 1/ 2 gallons of soda. One-fourth of the soda he bought was Pepsi and the rest was Sprite. How many gallons of Pepsi did Yoxelt buy? Show all work below.
Answer:
1 1/8
Step-by-step explanation:
1/4 of 4 1/2 is Pepsi.
1/4 * 4 1/2 = (1/4) * 4 + (1/4) * (1/2) = 1 1/8
If two of the ordered pairs was removed which two data points will cause the correlation to decrease the most? Select Two points
1) Data point A
2) Data point B
3) Data point C
4) Data point D
Answer:
1. Data point A
4. Data point D
Step-by-step explanation:
In a scatter plot, the closer the clustered data points are close to the best line of fit, the greater the correlation that would exist between the two variables.
If we are to draw a best line of fit in the scatter plot that is shown above, the closest data points amongst data points A, B, C, D, and E, that would be close to the best line of fit are data points A and D.
Therefore, removing data point A and point D would cause the correlation to decrease the most.
I NEED IN THE NEXT 10 MIN PLS. GRAPH ATTACHED WILL GIVE BRAINLIEST Use the given graph to determine the limit, if it exists. A coordinate graph is shown with a horizontal line crossing the y axis at five that ends at the open point 2, 5, a closed point at 2, 1, and another horizontal line starting at the open point 2, negative 3 and continues to the right. Find limit as x approaches two from the left of f of x. and limit as x approaches two from the right of f of x..
Answer:
Step-by-step explanation:
You gave very clear instructions on how to draw this graph, so that's what I did. What you need to remember in particular with limits is that you do not care in the least what happens AT the x value of 2, only what happens as it is being approached. Because we are asked the limit as x is approaching from the left and the right, this is a one-sided limit question. In order for the limit to exist as x approaches 2 (NOT from the left or the right), the limit would have to agree from the left and the right, and this one doesn't. Having said that there is "a horizontal line crossing the y-axis at 5 that ends at the open point (2, 5)..." is a limit approaching x from the left. Therefore,
[tex]\lim_{x \to 2^-} f(x)=5[/tex]
Having also said there is "...another horizontal line starting at the open point (2, -3) and continues to the right..." is a limit approaching x from the right. Therefore,
[tex]\lim_{x \to 2^+} f(x)= -3[/tex]
The closed point at (2, 1) is where x IS, and remember that we don't care about what happens AT x. So disregard this point in limits.
y-3x=13 solve for y ♀️
Answer:
y = 3x+13
Step-by-step explanation:
y-3x=13
Add 3x to each side
y-3x+3x=3x+13
y = 3x+13
The value of y for the given equation y - 3x = 13 is calculated to be y = 3x + 13.
Given that:
y - 3x = 13
It is required to find the value of y.
In order to find the value of y, the equation has to be solved in such a way that y has to be kept on one side.
Consider:
y - 3x = 13
Add 3x on both sides.
y - 3x + 3x = 13 + 3x
y = 13 + 3x
Hence, the value of y is 13 + 3x.
Learn more about Equations here :
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in a polynomial function of degree 5, what is the maximum number of extreme that could be possible? (please explain with the answer if possible!)
Answer:
4 maximum extrema
Step-by-step explanation:
5th degree means that it can change direction 5 times, therefore creating a maximum of 4 extrema
Special right triangles
what should we do??? the question isn't there!
Musah stands at the center of a rectangular field.He takes 50 steps north,then 25 steps West and finally 50 on a bearing of 315°. Sketch Musah's movement How far west is Musah's final point from the center? How far north is Musah's final point from the center?
Answer:
The distance of Musah's final point from the center in the west direction is 60.355 steps
The distance of Musah's final point from the center in the north direction is 85.355 steps
Step-by-step explanation:
Given that :
Musah stands at the center of a rectangular field.
He takes 50 steps north, then 25 steps West and finally 50 on a bearing of 315°.
The sketch for Musah's movement is seen in the attached file below.
How far west is Musah's final point from the centre?
In order to determine how far west is Musah's,
Let d be the distance of how far west;
Then d = BC + CD cos θ
In the North West direction,
cos θ = cos 45°
d = 25 + 50( cos 45°)
d = 25 + 50([tex]\dfrac{1}{\sqrt{2}}[/tex] )
d = 25 + 50( 0.7071)
d =25 + 35.355
d = 60.355 steps
How far north is Musah's final point from the center?
Let d₁ be the distance of how far North;
Then d₁ = AB + CD sin θ
d₁ = 50 + 50 sin 45°
d₁ = 50 + 50([tex]\dfrac{1}{\sqrt{2}}[/tex] )
d₁ = 50 + 50( 0.7071)
d₁ = 50 + 35.355
d₁ = 85.355 steps
Barbara Cusumano worked 60 hours last week. Of those hours, 40 hours were paid at the regular-time rate of $12.50 an hour, 18 hours at the time-and-a-half rate, and 2 hours at the double-time rate. What was Barbara's gross pay for the week?
Answer:
$887.50
Step-by-step explanation:
Her gross pay is the sum of the pay amounts for each of the hour amounts:
pay = 40(12.50) +18(12.50)(1.5) +2(12.50)(2)
= (12.50)(40 +18(1.5) +2(2)) = 12.50(40 +27 +4) = 12.50(71)
pay = 887.50
Barbara's gross pay for the week was $887.50.
10. The probability of buying pizza for dinner is 34% and the probability of buying
a new car is 15%. The probability of buying a new car given that you eat pizza for
dinner is 42%. What is the probability of eating pizza for dinner given that they
buy a new car?
Answer:
The probability of eating pizza given that a new car is bought is 0.952
Step-by-step explanation:
This kind of problem can be solved using Baye’s theorem of conditional probability.
Let A be the event of eating pizza( same as buying pizza)
while B is the event of buying a new car
P(A) = 34% = 0.34
P(B) = 15% = 15/100 = 0.15
P(B|A) = 42% = 0.42
P(B|A) = P(BnA)/P(A)
0.42 = P(BnA)/0.34
P(B n A) = 0.34 * 0.42 = 0.1428
Now, we want to calculate P(A|B)
Mathematically;
P(A|B = P(A n B)/P(B)
Kindly know that P(A n B) = P(B n A) = 0.1428
So P(A|B) = 0.1428/0.15
P(A|B) = 0.952
Use the measure of the sides of triangle ABC to classify the triangle by its sides A(-1,3) B(-3,5) C(3,2)
Answer:
The triangle is a scalene triangle that has all three sides having different lengths
Step-by-step explanation:
The given vertices (and their coordinates) of the triangle are;
A(-1, 3)
B(-3, 5)
C(3, 2)
The equation for finding the lengths of a segment, l, given the coordinates, x, y is presented as follows;
[tex]l = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex]
For segment AB, when, (x₁, y₁) = A(-1, 3) and (x₂, y₂) = B(-3, 5), we have;
[tex]l = \sqrt{\left (5-3 \right )^{2}+\left (-3-(-1) \right )^{2}} = 2\cdot\sqrt{2}[/tex]
Length of segment AB = 2·√2
For segment AC, when, (x₁, y₁) = A(-1, 3) and (x₂, y₂) = C(3, 2), we have;
[tex]l = \sqrt{\left (2-3 \right )^{2}+\left (3-(-1) \right )^{2}} = \sqrt{17}[/tex]
Length of segment AC = √17
For segment BC, when, (x₁, y₁) = B(-3, 5) and (x₂, y₂) = C(3, 2), we have;
[tex]l = \sqrt{\left (2-5 \right )^{2}+\left (3-(-3) \right )^{2}} = 3 \cdot \sqrt{5}[/tex]
Length of segment AC = 3·√5
The triangle is a scalene triangle that has all three sides having different lengths.
The price of a stock decreased by 60 cents one week, decreased 10 cents the next week, and decreased another 20 cents the following week. What is the average change in the price of the stock over the three weeks? need to know right now ASAP!! –270 cents per week –90 cents per week –87 cents per week –30 cents per week
Hi there! Hopefully this helps!
----------------------------------------------------------------------------------------------------------
It decreased by 30 cents per week.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
The average rate of change is calculated as:
the ratio of the sum of the change in the three weeks divided by the number of weeks. (The number of weeks being 3)
Rate of change = [tex]\frac{-60 -10 -20}{3}[/tex].
(-60 + -10 + -20 = -90). So, to simplify it:
[tex]\frac{-90}{3}[/tex] = -30
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Incase you are confused:
Since the average rate of change is negative, this means that the stock price has decreased.
1. Which expression is equivalent to (-2)(a + 6)?
Answer:
please mark my answer brainliest
Step-by-step explanation:
- 2a -12
