Answer: The correct answer is: [D]: " No solution " .
______________________________________
Step-by-step explanation:
We are given the following system of equations:
2x − 3y = 10 ;
-4x + 6y = -20 ;
_______________________________________
Let us take the second equation:
-4x + 6y = -20 ;
and multiply each side by "-1 " ; to get rid of the "negative numbers" ; and to rewrite the equation without the "negative numbers" :
- 1 * { - 4x + 6y } = -1 * (-20} ;
to get:
4x − 6y = -20 ;
Now, let us simply this equation further; by divide each side of the equation by "2" ;
(4x − 6y) / 2 = (-20) / 2 ;
→ [ (4x) / 2 ] − [ (6y) / 2 ] = -10 ;
to get: 2x − 3y = -10 ;
Then we have: 2x − 3y = 10 ;
Note: 10 ≠ -10 .
_______________________________________
So the answer is: [D]: " No solution."
_______________________________________
Hope this explanation helps you! Best wishes!
_______________________________________
Mark scored an 89 on his first
test, an 85 on his second test, a
95 on his third test, and an 83
on his fourth test. If Mark wants
a tens score average of 90, what
must hc score on his fifth exam?
Answer:
98
Step-by-step explanation:
89+85+95+83= 352,
90x5= 450,
450-352= 98
The score on his fifth exam is 98.
To find the score on his fifth exam.
What is average?Number that is calculated by adding quantities together and dividing the total by the number of quantities. Mean value which is equal to the ratio of the sum of the number of a given set of values to the total number of values present in the set.
Given that:
First test=89
Second test=85
Third test=95
Fourth test=83
Average = 90,
so total among up to fourth test=89+85+95+83= 352,
So, 90x5= 450,
Total score=450
Fifth test=450-352= 98
So, the score on his fifth exam is 98.
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which liner inequality represents the graph below?
[tex]y > \frac{2 }{3 } \times + 1[/tex]
[tex]y \geqslant - \frac{2}{3} \times + 1[/tex]
[tex]y \geqslant \frac{2}{3} \times + 1[/tex]
[tex]y > - \frac{2}{3} \times + 1[/tex]
3x2 +4=0 whats the answer?
Answer:
False
Step-by-step explanation:
3x2 is 6 and 6 +4 is not 0 it is ten 10 norder of operations
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Hi my lil bunny!
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Lets do this step by step.
Simplify [tex]\frac{3x - 2}{x} -4[/tex].
To write -4 as a fraction with a common denominator, multiply by [tex]\frac{x}{x}[/tex]
[tex]\frac{3x - 2}{x} - 4 . \frac{x}{x} > 0[/tex]
Combine -4 and [tex]\frac{x}{x}[/tex].
[tex]\frac{3x - 2}{x} + \frac{-4x}{x} > 0[/tex]
Combine the numerators over the common denominator.
[tex]\frac{3x - 2 -4x}{x} > 0[/tex]
Subtract 4x from 3x.
[tex]\frac{-x -2}{x} > 0[/tex]
Factor -1 out of -x.
[tex]\frac{-(-x) -2}{x} >0[/tex]
Rewirte -2 as -1 (2).
[tex]\frac{-(x -1 (2)}{x} > 0[/tex]
Factor -1 out of - (x) - 1 (2).
[tex]\frac{-(x + 2)}{x} >0[/tex]
Simplify the Expression.
_______________
Rewrite - ( x + 2 ) as -1 ( x + 2 ) .
[tex]\frac{-1 ( x+ 2)}{x} > 0[/tex]
Move the negative in front of the fraction.
[tex]- \frac{x + 2}{x} > 0[/tex]
Then your going to find all the values where the expression switches from negative to positive by setting each factor equal to 0 and solving.
[tex]x = 0\\x + 2 = 0[/tex]
Subtract 2 from both sides of the equation.
[tex]x = -2[/tex]
Solve for each factor to find the values where the absolute value expression goes from negative to positive.
[tex]x = 0 \\x = -2[/tex]
Consolidate the solutions.
[tex]x = 0, -2[/tex]
________________
Find the domain of [tex]\frac{3x - 2}{x} -4[/tex]
_________________
Set the denominator in [tex]\frac{3x - 2}{x}[/tex] equal to 0 to find where the expression is undefined.
[tex]x = 0[/tex]
The domain is all values of x that make the expression defined.
( - ∞, 0 ) ∪ ( 0 , ∞)
Use each root to create test intervals.
[tex]x < -2 \\-2 < x < 0 \\x > 0[/tex]
|Choose a test value from each interval and plug this value into the original inequality to determine which intervals satisfy the inequality.|
Test a value on the interval -2 < x < 0 to see if it makes the inequality true.
Ans : True
Test a value on the interval x > 0 to see if it makes the inequality true.
Ans : False
Test a value on the interval x < -2 to see if it makes the inequality true.
Ans : False
Compare the intervals to determine which ones satisfy the original inequality.
[tex]x < -2 = False\\-2 < x < 0 = True\\x > 0 = False[/tex]
The solution consists of all of the true intervals.
[tex]-2 < x < 0[/tex]
The result can be shown in multiple forms.
Inequality Form: [tex]-2 < x< 0[/tex]
Interval Notation: [tex]( -2 , 0 )[/tex]
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Hope this helped you.
Could you maybe give brainliest..?
❀*May*❀
What is the volume of the cylinder with a radius of 8 and height of 4
Answer:
Hey there!
The formula for cylinder volume is [tex]r^2h\pi[/tex], where r is the radius, h is the height, and [tex]\pi[/tex] is a constant, roughly equal to 3.14.
Substituting all of these values into the equation:
[tex]8^2(4)(3.14)[/tex]
[tex]804.84\\[/tex]
Thus, the volume for the cylinder is 804.84 units cubed.
Hope this helps :)
Answer:
804.25 [tex]units^{3}[/tex]
Step-by-step explanation:
The formula of the volume of a cylinder is [tex]V=\pi r^{2} h[/tex] where r represents the radius and h represents the height. To find a more exact answer, I usually use pi in my calculator rather than 3.14, unless asked to do so.
[tex]V=\pi (8)^{2} (4)[/tex]
[tex]V=\pi (64)(4)[/tex]
[tex]V=\pi (256)[/tex]
[tex]V=804.25[/tex]
If 20a-16=12(3-a), then a=?
a)5/8
b)13/8
c)21/16
d)5/2
ANSWER: B. 13/8
STEP BY STEP THING:
20a−16=12(3−a)
20a−16=−12a+36
32a−16=36
32a=52
32a/32 = 52/32
a = 13/8
Answer:
13/8 or 1.625
Step-by-step explanation:
1)combine like terms 2)isolate the variable(a) to one side of the equation 3) use multiplicative or division properties x=13/8 or 1.625
Rectangle ABCD is graphed in the coordinate plane. The following are the vertices of the rectangle: A(-8, -6), B(-3,-6), C(-3, -4), and D(-8, -4). Given these coordinates, what is the length of side AB of this rectangle?
Answer:
5
Step-by-step explanation:
Firstly, I'm not from the USA so I'm not sure if I've understood the question correctly (different phrasing of the question here in the UK), but I hope I've done this right and this helps! :)
Method 1:
I would draw the graph! It makes it easier to visualise. You don't have to do a neat proper graph, just scribble something down. If you then count the number of squares between point A and point B you would get 5.
Method 2:
This is probably a more MATHEMATICAL method, but I think Method 1 or Method 2 are both fine. Since we are only asked about point A and point B, we don't have to think about points C or D. Since this is a rectangle, we know that the line would be straight and would also likely be perpendicular / parallel to the x or y axis. If we compare the coordinates of points A and B, we can see that they both have -6 in them: this shows us that these points are along the same row. So all you have to do is find the difference between the tow other points, i.e. the -8 in A and the -3 in B. -3 minus -8 = 5. So that gives you the length of the side.
I hope this helped, sorry for the lengthy explanation and slightly dodgy vocabulary (?).
Bluey
Answer:
Step-by-step explanation:
You could use distance formula to find the length
A( -8, -6) ; B(-3,-6)
Distance= [tex]\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]
[tex]AB =\sqrt{(-3-[-8])^{2}+(-6-[-6])^{2}}\\\\=\sqrt{(-3+8)^{2}+(-6+6)^{2}}\\\\= \sqrt{(5)^{2}+0}\\\\= \sqrt{5^{2}}\\[/tex]
AB = 5 units
What is x 5/9 of x is 90
help assap
Answer:
162Step by step explanation
[tex] \frac{5}{9} x = 90[/tex]
Multiply both sides of equation by 9/5
[tex] \frac{9}{5} \times \frac{5}{9} x = \frac{9}{5} \times 90[/tex]
Reduce the numbers with Greatest common factor 9
[tex] \frac{1}{5} \times 5x = \frac{9}{5} \times 90[/tex]
Reduce the numbers with G.C.F 5
[tex]x = 9 \times 18[/tex]
Multiply the numbers
[tex]x = 162[/tex]
Hope this helps..
Best regards!!
Answer:
1 62
Step-by-step explanation:
Please help
calculate the coefficient of x^14y^4 in the expansion of (x+y)^18
feet.
The radius of Cylinder A measures
10
7
14
Answer:
14 I think
Step-by-step explanation:
Tell me if I'm wrong
Answer:
14
mark me brainy plz!
Step-by-step explanation:
if a = -5 find the value of 3a ²
Answer:
75
Step-by-step explanation:
We just need to plug in -5 for a so the answer is:
3a² = 3 * (-5)² = 3 * 25 = 75
Answer:
75
Step-by-step explanation:
A= (-5)²= 25
3(25)=75
Which of the following expressions are equivalent to 4 - (-5) +0?
Intro
Choose 3 answers:
A: 4- (-5)
B: 4+5
C: 4- (-5+0)
D: (4-5)+0
E: 4- (5-0)
Answer:
A, B, C
Step-by-step explanation:
4 - (-5) + 0
4 - (-5) = 4 + 5 (because a negative + negative = positive)
4 + 5 = 9
a, b and c all equal 9
hopefully this helped you!! :3
Experiment consist of drawing one card from a standard 52 card deck. What is the probability of drawing a black 10?
Answer:
3.8%
Step-by-step explanation:
there r 2 black 10
2÷52×100=3.8
The cost to mail a letter is a base charge of $0.42 plus $0.17 for each ounce. Write an equation that could be used to find how many ounces a letter that costs $0.93 weighs. (Let x represent the number of ounces.) A) 0.59 x = 0.93 B) 0.42 x + 0.17 = 0.93 C) 0.59 = 0.93 x D) 0.42 + 0.17 x = 0.93
Answer:
D) 0.42 + 0.17 x = 0.93
Step-by-step explanation:
0.93 - 0.42 = 0.51
0.51 / 0.17 = 3
3 ounces and the answer is D
Answer:
D) 0.42 + 0.17 x = 0.93
Step-by-step explanation:
When multiplying or dividing two numbers with opposite signs, the answer will be 1.negative 2.positive
Answer:
Negative when multiplying
and
Negative when dividing
Step-by-step explanation:
Answer:
I hope these help
Multiplication ;[tex] - \times - = + \\ - \times + = - \\ + \times + = + \\ + \times - = - [/tex]Division ;[tex] + \div - = - \\ + \div + = + \\ - \div - = + \\ - \div + = - [/tex]
Which statement is true regarding the diagram of circle P? The sum of y and z must be 2x. The sum of y and z must be One-halfx. The difference of z and y must be 2x. The difference of z and y must be One-halfx.
Answer:
The difference of z and y must be 2x.
The statement that will be correct is, the difference of z and y must be 2x, the correct option is C.
What is Angle of Intersecting Secants Theorem?According to Angle of Intersecting Secants Theorem, If two chords extended as secants intersect outside a circle , then the measure of the angle formed by the secants is half the difference of the measures of the intercepted arcs .
The measure of the intercepted arc is z and y
and the measure of the angle formed is x
According to the theorem, the measure of x = ( z-y) /2
The missing image is attached with the answer.
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Germany has a population
of 82,217,800. If there are
636,854 births, 827,155
deaths, 684,862
immigrants, and 680,766
emigrants, what is the
population change?
A. 186,205
B. 98,381
C. -186,205
D. -98,381
Answer:
C. -186,205
Step-by-step explanation:
636,854 - 827,155 + 684,862 - 680,766
=> 1,321,716 - 1,507,921
=> -186,205
The population change of the given data set will be as 82,031,595. so the correct option is C.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Germany has a population of 82,217,800. If there are 636,854 births, 827,155 deaths, 684,862 immigrants, and 680,766 emigrants.
WE need to find the population change.
Now, we have to add the births, deaths and subtact 680,766;
82,217,800 + 636,854 - 827,155 + 684,862 - 680,766
= 82,031,595
Therefore, the population change of the given data set will be as 82,031,595.
So the correct option is C.
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29 If we round to 1 significant figure, sound travels at a speed of approximately 0.3 kilometers per second, while light travels at a speed of approximately 300 000 kilometers per second. 29a Express the speed of sound in kilometers per second in scientific notation.
Answer:
3 x 10^-1 km per second.
Step-by-step explanation:
A scientific notation includes c x 10^n. c is a number between 1-9, and n is the nth power of 10.
If we move the decimal in 0.3 to the right by 1 place, we can get "c", which will be 3. Since we have moved the decimal to the right, each place moved right counts as -1 for n.
So, the answer is 3 x 10^-1 km per second.
solve please 3y^4t^-2/11y^-4
Answer:
[tex] \dfrac{3y^8}{11t^2} [/tex]
Step-by-step explanation:
[tex]\dfrac{3y^4t^{-2}}{11y^{-4}} =[/tex]
[tex] = \dfrac{3y^{4 - (-4)}}{11t^2} [/tex]
[tex] = \dfrac{3y^8}{11t^2} [/tex]
Which inequality is represented by this graph from a positive 0 to positive 5
Graph the image of this figure after a dilation with a scale factor of 2 centered at (2, 2).
Answer:
(-6,6), (0,12), (4,8)
Step-by-step explanation:
To dilate an object, we need to multiply the x and y values by the given scale factor.
In this case the scale factor is 2 --> 2(x, y)
Before-> After dilation
2(-3,3) = (-6,6)
2(0,6) = (0,12)
2(2,4) = (4,8)
Please leave a 'thanks' if this helps!
Can someone please help me I don’t understand how to do it
10) A rectangular patio measures 3x+4 meters by
2x-1 metres. If the perimeter of the patio measures 96
meters. Find the area of the patio.
This problem requires multiple steps, so please read through the whole answer to get a good understanding on how to solve this problem
Step 1: Create an equation for the perimeter respect to x
The equation for the perimeter p is:
[tex]p=2w+2l[/tex] where w is the width and l is the length
The length is 3x+4 and the width is 2x-1, so substitute these values into the equation:
[tex]p=2(3x+4)+2(2x-1)[/tex]
[tex]=6x+8+4x-2[/tex]
[tex]=10x+6[/tex]
This is the equation for the perimeter
Step 2: Solve for x since we are given the perimeter
We are given that the perimeter is 96, thus we can create the equation:
[tex]10x+6=96[/tex]
Subtract 6 from both sides
[tex]10x=90[/tex]
Divide both sides by 10
[tex]x=9[/tex]
We have now found the value of x
Step 3: Find the length and width now that we know x
Plug the value of x into the expressions for the length and the width that we are given
[tex]\text{Length}=3x+4=3(9)+4=31[/tex]
[tex]\text{Width}=2x-1=2(9)-1=17[/tex]
Step 4: Solve for the area now that we know the dimensions
This is probably the easiest step. Multiply the length and width to find the area:
[tex]31 \times 17=527[/tex]
The area of the patio is 527.
I've double- and triple-checked that this is the correct answer, so do not worry about any errors.
Let me know if you need any clarifications, thanks!
(ﾉ◕ヮ◕)ﾉ*:･ﾟ✧
Answer:
Padoru Deserves a brainliest
Step-by-step explanation:
So i wrote this answer so she could have one please give them a brainliest
please help will make you brainliest,
make r the subject of m=n+[tex]\sqrt{h^{2} +r^{2}[/tex]
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Take the root of both sides and solve.
[tex]r = \sqrt{( m - n + h ) ( m - n - h)} \\r = \sqrt{( m - n + h ) ( m - n - h)} \\[/tex]
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Hope this helped you.
Could you maybe give brainliest..?
❀*May*❀
which inequality matches the graph?
A) -2x+3y>7
B) 2x-3y<7
C) -3x+2y>7
D) 3x-2y<7
Of a classroom filled with 20 students, 2 will be selected to stay after school and correct homework for extra credit. How
many combinations are possible?
Answer: 10
Step-by-step explanation:
20/2=10
pairs of two
Answer:
10 pair
Step-by-step explanation:
20/2=10
10 pairs of students staying after school for extra credit
What is x - ( -8) = 1 and what is x - ( -13) = 17?
Answer:
x - ( -8) = 1; x = -7
x - ( -13) = 17; x =
Step-by-step explanation:
x - ( -8) = 1 = x + 8 = 1
x = -7
x - ( -13) = 17 = x + 13 = 17
x = 4
Answer:
see below
Step-by-step explanation:
x - ( -8) = 1
Subtracting a negative is like adding
x+8 =1
Subtract 8 from each side
x+8-8= 1-8
x=-7
x - ( -13) = 17
Subtracting a negative is like adding
x+13 =17
Subtract 13 from each side
x+13-13= 17-13
x=4
help plz i want help
Answer:
1/3
Step-by-step explanation:
There are 9 possible outcomes
We want the ones that have the same color which are GG , YY or BB
P ( same color) = number of same color outcomes / total outcomes
= 3/9
=1/3
Answer:
1/3
Step-by-step explanation:
3/9, simplify to 1/3
Why or why not should we use the metric system in the U.S.A?
Make sure this your own opinion. 4 - 5 sentences please
Answer:
We should definitely be using the metric system in the U.S.A, as 94.7% of the world uses this system. The metric system, moreover the newer more polished system is exclusively the only system used in science. People who are unexperienced with the metric system, may encounter difficulties when dealing with real-life businesses and work that is publicly available globally, as if you need to measure a given contrivance, the metric system will be used. When countries follow a similar system to majority of the others, it will help make that country more open and less inclusive, providing a greater and more civil world.
Answer:
The biggest reasons the U.S. hasn’t adopted the metric system are simply time and money. When the Industrial Revolution began in the country, expensive manufacturing plants became a main source of American jobs and consumer products. Because the Imperial System (IS) of measurements was in place at this time, the machinery used in these factories was developed to size in IS units; all of the workers were trained to deal with IS units; and many products were made to feature IS units. Whenever the discussion of switching unit systems arose in Congress, the passage of a bill favoring the metric system was thwarted by big businesses and American citizens who didn’t want to go through the time-consuming and expensive hassle of changing the country’s entire infrastructure. Many also believed that the United States should keep its particular system, setting it apart from other countries and symbolizing its status as a leader rather than a follower.
Step-by-step explanation:
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10 Points NEED AN ANSWER ASAP PLS SOLVE FOR THE VARIABLE.
1. 2X + 6 = 12
2. 5X - 15 = 3X + 4
Answer:
1. x = 3.
2. x = 9.5.
Step-by-step explanation:
1. 2x + 6 = 12
2x = 6
x = 3.
2. 5x - 15 = 3x + 4
5x - 3x = 4 + 15
2x = 19
x = 9.5.
Hope this helps!
Step-by-step explanation:
1).2x + 6 = 12
Send the constant to the right side of the equation
That's
2x = 12 - 6
2x = 6
Divide both sides by 2
x = 32).5x - 15 = 3x + 4
Group like terms
We have
5x - 3x = 15 + 4
Simplify
2x = 19
Divide both sides by 2
x = 19/2Hope this helps you
Find -8 ÷ -1/2 a. -1/4 b. 16 c. -4 d. 1/16
Answer:
16
Step-by-step explanation:
you would use the reciprocal when changing it from division to multiplication. So, it would be -8x-2 which equals 16.
Can anyone help please I don’t understand how to do it
2) A builder is tiling a new bathroom and requires 30 tiles which are of
length z and height y. Find an equation that would show the area of the tiled
parts of the bathroom in terms of x and y.
Answer:
A= 30zy
Step-by-step explanation:
Let the area of the tiled parts of the bathroom be A.
A= area of 30 tiles
A= 30( length × height of tiles)
A= 30(z)(y)
A= 30zy