Answer:
Ok, a system of equations means that we have a given number of equations with the same solutions.
If we only have tables, this means that we need to have one table for each equation:
For example, if we are working only with two variables, x and y, in those tables we can see the pints (x, y) that belong to each equation.
Now, a point (x, y) will be a solution of the system of equations only if it belongs to the data table for each equation
This would mean that if we graph those data sets, the graphs will intersect at the point (x, y) that belongs to all the tables of data.
Other way may be using the data in the tables to construct the equations, but you said that you only want to use the tables, so this method can be discarded.
Manuela solved the equation 3−2|0.5x+1.5|=2 for one solution. Her work is shown below.
3−2|0.5x+1.5|=2
−2|0.5x+1.5|=−1
|0.5x+1.5|=0.5
0.5x+1.5=0.5
0.5x=−1
x=−2
What is the other solution to the equation?
x=−6
x=−4
x=2
x=4
Answer:
X= -4
X=-2
Step-by-step explanation:
for
|a|=b
assume
a=b and a=-b
so
3-2|0.5x+1.5|=-2
minus 3 both sides
-2|0.5x+1.5|=-1
divide both sides by -2
|0.5x+1.5|=0.5
set negative and postivive
0.5x+1.5=0.5 and 0.5x+1.5=-0.5
solve each
0.5x+1.5=0.5
minus 1.5 both sides
0.5x=-1
times - 2 both sides
x=-2
other
0.5x+1.5=-0.5
minus 1.5 from oth sides
0.5x=-2
times 2 both sides
x=-4
the solutions are x=-2 and x=-4
Answer:
x=-4
Step-by-step explanation:
The votes for president in a club election were: Smith: 24 Munoz: 32 Park: 20 Find the following ratios and write in simplest form. Votes for Munoz to Smith : Votes for Park to Munoz : Votes for Smith to total votes : Votes for Smith to Munoz to Park
Hey there! I'm happy to help!
VOTES FOR MUNOZ TO SMITH
32:24
We see that both have a common factor of 8, so we can divide both by that.
4:3
This is in simplest form.
VOTES FOR PARK TO MUNOZ
20:32
We see that both have a common factor of 4, so we divide both by that.
5:8
This is completely simplified.
VOTES FOR SMITH TO TOTAL VOTES
24+32+20=76
24:76
We see that both have a common factor of 4, so will divide both by that.
6:19
We cannot simplify any more here.
VOTES FOR SMITH TO MUNOZ TO PARK
24:32:20
We can divide these all by four, so let's do that.
6:8:5
This can't be simplified anymore, so it is in simplest form.
Have a wonderful day! :D
15 POINTS! three times X is 13 less than Y. the sum of X and two times y is 12 write two equations and graph to find the value of Y. A. y=-7 B. y=2 C. y=7 D. y=-2
An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
The value of y is 7.
The graph of the two-equation is given below.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 4 = 9 is an equation.
We have,
3x = y - 13 ____(1)
x + 2y = 12 _____(2)
From (1) we get,
x = (y - 13)/3 _____(3)
Putting (3) in (2) we get,
(y - 13)/3 + 2y = 12
y - 13 + 6y = 36
7y = 36 + 13
7y = 49
y = 7
The graph of the equation is given below.
Thus,
The value of y is 7.
The graph of the two-equation is given below.
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Find the value of this expression if x=3 x^2 + 3/x-1
Answer: 9
Step-by-step explanation:
[tex]3^2 + \frac{3}{3}-1\\\\=9+1-1\\\\=9[/tex]
The equation of the graphed line is 2x – y = –6. A coordinate plane with a line passing through (negative 3, 0) and (0, 6). What is the x-intercept of the graph?
Answer:
A: -3
Step-by-step explanation:
I got it right on my quiz!
If equation of the graphed line is 2x – y = –6 then the x-intercept of the graph is -3.
To find the x-intercept of the graph, we need to determine the x-coordinate where the line intersects the x-axis.
At the x-intercept, the y-coordinate is zero.
Given the equation of the line as 2x - y = -6.
we can substitute y = 0 since it is the y-coordinate at the x-intercept.
2x - 0 = -6
2x = -6
Divide both sides by 2:
x = -6/2
x = -3
Therefore, the x-intercept of the graph is -3.
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Two cards are selected at random from a standard deck of cards. What is the probability that you select a king or a queen? (If your answer will reduce, you should reduce it.) Also show you're work
Answer:
2/13
Step-by-step explanation:
In a standard deck of cards, there are 52 cards total, 4 kings, and 4 queens.
Probability is calculated by (number of favorable outcomes)/(number of possible outcomes), so our probability would be 8/52, which can be simplified to 2/13.
Hope this helps!
List the coordinates of FOUR vertices that create the feasible region on the graph. Submit your answer in the form of FOUR ordered Pairs (x, y)
Answer:
see below
Step-by-step explanation:
The feasible region is the shaded area. We just need to find the coordinates of its vertices. These are (200, 200), (300, 0), (500,0) and (300, 200).
PLZ HELP!!!!!!
(06.05 MC)
A group of students were surveyed to find out if they like watching television or reading during their free time. The results of the survey are shown below
90 students like watching television
20 students like watching television but do not like reading
80 students like reading
40 students do not like watching television
Make a two-way table to represent the data and use the table to answer the following questions.
Part A: What percentage of the total students surveyed like both watching television and reading? Show your work. (5 points)
Part B: What is the probability that a student who does not like watching television also does not like reading? Explain your answer. (5 points)
Answer:
A: 39.1304348% OR 39%
B: 33.3%
Step-by-step explanation:
Part A:
find the total amount of children: 90+20+80+40=230
90-20=50
i got this from taking away the amount that like watching tv and not reading so from this you know 50 of those 90 that like watching tv also like tv and reading.
80-40=40
(same explanation as 90-20=50)
then do 50 +40 which equals 90
now you need to turn it into a percentage.
90/230=
9/23
=39.1304348%
if you need round it, do so!
Part b:
40+20=60
20/60= 2/6
=1/3
=33.3%
Consider the matrix A = \begin{pmatrix} 7 & 9 & -3 \\ 3 & -6 & 5 \\ 4 & 0 & 1 \end{pmatrix} ⎝ ⎛ 7 3 4 9 −6 0 −3 5 1 ⎠ ⎞ . What is the value of minor M_{11}M 11 ? 5 -6 0 -4
Answer:
The value of M₁₁ is -6.
Step-by-step explanation:
The minor, [tex]M_{ij}[/tex] is the determinant of a square matrix, say P, formed by removing the ith row and jth column from the original square matrix, P.
The matrix provided is as follows:
[tex]A=\left[\begin{array}{ccc}7&9&-3\\3&-6&5\\4&0&1\end{array}\right][/tex]
The matrix M₁₁ is:
Remove the 1st row and 1st column to form M₁₁,
[tex]M_{11}=\left|\begin{array}{cc}-6&5\\4&0\end{array}\right|[/tex]
Compute the value of M₁₁ as follows:
[tex]M_{11}=\left|\begin{array}{cc}-6&5\\4&0\end{array}\right|[/tex]
[tex]=(-6\times 1)-(5\times 0)\\\\=-6-0\\=-6[/tex]
Thus, the value of M₁₁ is -6.
Please factorise the equations in the doc bellow ASAP. please show full working
Answer:
b. x² + 8x + 12 =
1. use the factoring X (see attachment)
2. 6 x 2 = 12; 6 + 2 = 12
3. (x + 6)(x + 2) = 0
4. x = -6, -2
c. x² + 13x + 12 =
1. 12 x 1 = 12; 12 + 1 = 13
2. (x + 12)(x + 1) = 0
3. x = -12, -1
c. x² + x - 12 =
1. 4 · (-3) = -12; 4 - 3 = 1
2. (x +4)(x - 3) = 0
3. x = -4, 3
f. x² + 15x + 36 =
1. 12 x 3 = 36; 12 + 3 = 15
2. (x + 12)(x + 3) = 0
3. x = -12, -3
hope this helps :)
Answer:
b) - (x + 2)(x + 6)
c) - (x + 12)(x + 1)
c) - (x - 3)(x + 4)
f) - (x + 12)(x + 3)
Step-by-step explanation:
Well to factor the given info we need to find the factors.
b)
[tex]x^2 + 8x + 12[/tex]
So 6*2 = 12
6x + 2x = 8x
x*x = x^2
Factored - (x + 2)(x + 6)
c)
[tex]x^2 + 13x + 12[/tex]
Well x*x = x^2
and 12*1 = 12
12x + x = 13x
Factored - (x + 12)(x + 1)
The second c)
[tex]x^2 + x - 12[/tex]
Well x*x = x^2
-3*4 = -12
-3x + 4x = x
Factored - (x - 3)(x + 4)
f)
[tex]x^2 + 15x + 36[/tex]
So x*x = x^2
12*3 = 36
12x + 3x = 15x
Factored - (x + 12)(x + 3)
Thus,
everything factored is (x + 2)(x + 6) , (x + 12)(x + 1) , (x - 3)(x + 4) ,
(x + 12)(x + 3).
Hope this helps :)
An electronics store is having a back-to-school sale. Blake is interested in purchasing a new computer, and the one he’s been wanting to buy currently has a manufacturer’s rebate of $100. The store is also offering a 10% discount with a school ID, which Blake carries regularly in his wallet. Part A Suppose f(x) = x − 100 and g(x) = 0.9x. Find (f ∘ g)(x).
Answer:
(f ∘ g)(x) = 0.9x - 100
Step-by-step explanation:
Here in this question, we are interested in calculating (f ∘ g)(x)
From the question, we are given;
f(x) = x -100
g(x) = 0.9x
So (f ∘ g)(x) simply means we shall be representing the x in f(x) with the totality of the value of g(x)
Mathematically, what we are saying is that;
Find (f ∘ g)(x) = 0.9x - 100
Circle C is shown. Radius A has a length of r. In circle C, r = 32 units. What is the area of circle C? 32Pi units squared 64Pi units squared 256Pi units squared 1024Pi units squared
Answer:
A = 1024 pi units^2
Step-by-step explanation:
If r = 32 units, we can find the area
A = pi r^2
A = pi ( 32) ^2
A = 1024 pi units^2
The area of the circle C is 1024π square units.
What is area?Area is the amount of space occupied by a two-dimensional figure.
What is the formula for the area of circle?The formula for the area of circle is given by
[tex]Area = \pi r^{2}[/tex]
Where,
r is the radius of the circle
According to the question.
We have the radius of circle, r = 32 units
Therefore,
The area of the circle C is given by
[tex]Area = \pi (32)^{2}[/tex]
⇒ [tex]Area = 1024\pi[/tex] square units
Hence, the area of the circle C is 1024π square units.
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What is the vertical height, h?
Answer:
6.2Step-by-step explanation:
s = 10 so ¹/₂s = 5
Pythagorean theorem:
[tex]h^2+(\frac12s)^2=8^2\\\\h^2+5^2=8^2\\\\h^2=64-25\\\\h^2=39\\\\h=\sqrt{39}=6.2449979....\approx6.2[/tex]
dilate the given triangle with a magnitude of 3 [3 6 3 -3 3 3]
Answer:
The coordinates of the triangle, (3, 6), (3, -3), and (3, 3), dilated by a magnitude of 3 is;
(9, 18), (9, -9), and (9, 9)
Step-by-step explanation:
The vertices of the given triangle are;
(3, 6), (3, -3), and (3, 3)
A dilation with a magnitude of 3 can be found as follows;
For each value of the x, and y-coordinates of the vertices, we multiply by the magnitude of dilation
As an example, the coordinate of the points on a line, (x₁, y₁) and (x₂, y₂), dilated by a scale factor of m, will become, (m·x₁, m·y₁) and (m·x₂, m·y₂)
Therefore, we have foe a magnitude of 3;
(3, 6), (3, -3), and (3, 3) becomes, (3×3, 3×6), (3×3, 3×(-3)), and (3×3, 3×3)
(9, 18), (9, -9), and (9, 9).
Answer:
(9, 18), (9, -9), and (9, 9)
Step-by-step explanation:
Solve the equation in the interval from 270° to 810°
Your answer should be in degrees
cos(x)=1
Choose all answers that apply
A. 0°
B.90°
C.360°
D.540°
E. 720°
F.1080°
Answer:
the answer should be C,E please give brainliest
Step-by-step explanation
Answer:
C. 360
E. 720
Step-by-step explanation:
note: 2pi radians = 360 degrees.
Cos(x) = 1 whenever x = 2k pi where k is an integer, thus
This translates to
cos(x) = 1 when x=0, 360, 720, 1080, ... degrees.
Between 270 and 810, the angles that satisfy cos(x) = 1 are
360 and 720.
So choose C and E
Find the measure of AngleJ, the smallest angle in a triangle with sides measuring 11, 13, and 19. Round to the nearest whole degree. 30° 34° 42° 47°
Answer:
34°
Step-by-step explanation:
The law of cosines is good for finding angles when only sides are known. We'll use the conventional sides a, b, c, and angles A, B, C. Yes, we know the problem statement calls the smallest angle "J". We trust you can make the translation.
a² = b² +c² -2bc·cos(A) . . . . . for sides a, b, c and angle A
Solving for the angle, we get ...
A = arccos((b² +c² -a²)/(2bc))
Filling in the numbers with "a" being the shortest side, we have ...
A = arccos((13² +19² -11²)/(2·13·19)) = arccos(409/494)
A ≈ 34.113°
The smallest angle, ∠J, is about 34°.
Answer:
b
Step-by-step explanation:
Mayelle earns $18,000 a year. After a raise, she earns $19,500. What is the percent of increase in pay? Round to the nearest tenth of a percent
Answer:
8.3 %
Step-by-step explanation:
Mayelle earns $18000 per year. Mayelle earning is increased by $19500, to calculate the percentage increase in earnings, we divide the difference between earnings after increase and earnings before increase by the earnings before increase and then multiply the result by 100. The percentage increase is given by:
Increase in pay = (Earnings before increase - earnings after increase) / Earnings before increase × 100%
Increase in pay = ($19500 - $18000)/ $18000 × 100% = 8.3 %
Why is the information in the diagram enough to determine that △LMN ~ △PON using a rotation about point N and a dilation? because both triangles appear to be equilateral because∠MNL and ∠ONP are congruent angles because one pair of congruent corresponding angles is sufficient to determine similar triangles because both triangles appear to be isosceles, ∠MLN ≅ ∠LMN, and ∠NOP ≅ ∠OPN
Answer:
The correct option is;
Because ∠MNL and ∠ONP are congruent angles
Step-by-step explanation:
From the diagram shown in the question, ∠MNL and ∠ONP are vertically opposite angles as they are formed by crossing of the lines LP and MO making them congruent, that is ∠MNL ≅ ∠ONP
Given that two angle of triangle LMN are congruent to two angles of triangle PON , then by the Angle Angle (AA) rule of similarity, triangle LMN and PON are similar.
The information in the diagram enough to determine that △LMN ~ △PON because∠MNL and ∠ONP are congruent angles.
What are Congruent angles?These are referred to angles which have an equal measure. From the diagram ,vertically opposite angles are formed by crossing of the lines LP and MO thus,we can deduce that ∠MNL and ∠ONP are congruent angles.
This means that there is enough information to determine that △LMN ~ △PON using a rotation about point N and a dilation.
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Calculate the area of triangle RST. a = 38.
Answer:
722 √(3) square units
Step-by-step explanation:
Mathematically, the area of a triangle is 1/2 * b * h
But in this question, we have the base which is a while the height is absent
We can use trigonometric ratios since we are given the angle to find the value of the height.
Since we are dealing with the opposite and the adjacent, the correct trigonometric identity to use is the tangent
Mathematically;
Tan 60 = h/a
where h represents the height which we want to calculate
h = a tan 60
But tan 60 = √(3)
So h = a √(3)
Now the area of the triangle will be;
A = 1/2 * a * a √(3)
But a has a value of 38 units.
Substituting this value, we have ;
A = 1/2 * 38 * 38 √(3)
A = 19 * 38√(3)
A = 722 √(3) square units
A pair of dice is rolled. What is the probability that the sum is 9? a 1/36 b 1/18 c 1/9 d 2/9
Please answer question now what the answer
Answer:
100 degrees
Step-by-step explanation:
360-260=100
Answer:
x=100
Step-by-step explanation:
130+130+x=360
260+x=360
x=100
Have a great and magnificent day
Solve this application problem using a system of equations: Dan and June mix two kinds of feed for pedigreed dogs. They wish to make 70 pounds of feed worth $0.30 per pound by mixing Feed A worth $0.26 per pound with Feed B worth $0.40 per pound. How many pounds of the cheaper kind should they use in the mix
Answer:
50 pounds
Step-by-step explanation:
Dan and june mix two kind of feed for pedigreed dogs
Feed A worth is $0.26 per pound
Feed B worth is $0.40 per pound
Let x represent the cheaper amount of feed and y the costlier type of feed
x+y= 70..........equation 1
0.26x + 0.40y= 0.30×70
0.26x + 0.40y= 21.........equation 2
From equation 1
x + y= 70
x= 70-y
Substitutes 70-y for x in equation 2
0.26(70-y) + 0.40y= 21
18.2-0.26y+0.40y= 21
18.2+0.14y= 21
0.14y= 21-18.2
0.14y= 2.8
Divide both sides by the coefficient of y which is 0.14
0.14y/0.14= 2.8/0.14
y= 20
Substitute 20 for y in equation 1
x + y= 70
x + 20= 70
x= 70-20
x = 50
Hence Dan and june should use 50 pounds of the cheaper kind in the mix
A certain quantity grows exponentially over time. The initial quantity at t = 0 is 2,000. The quantity
grows by a factor of 20%. What is the quantity at t = 8?
A 0.00512
B. 8,599.63392
C. 10,319.56070
D. 12,383.47284
Answer:
B
Step-by-step explanation:
using the equation y=2000*1.2^8 we can get the exact value of y which aligns with b
Express the complex number in trigonometric form. 5 - 5i
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Hi my lil bunny!
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
Lets do this step by step.
This is the trigonometric form of a complex number where [tex]|z|[/tex] is the modulus and [tex]0[/tex] is the angle created on the complex plane.
[tex]z = a + bi = |z| (cos ( 0 ) + I sin (0))[/tex]
The modulus of a complex number is the distance from the origin on the complex plane.
[tex]|z| = \sqrt{a^2 + b^2}[/tex] where [tex]z = a + bi[/tex]
Substitute the actual values of a = -5 and b = -5.
[tex]|z| = \sqrt{(-5) ^2 + (-5) ^2}[/tex]
Now Find [tex]|z|[/tex] .
Raise - 5 to the power of 2.
[tex]|z| = \sqrt{25 + (-5) ^2}[/tex]
Raise - 5 to the power of 2.
[tex]|z| = \sqrt{25 + 25}[/tex]
Add 25 and 25.
[tex]|z| = \sqrt{50}[/tex]
Rewrite 50 as 5^2 . 2 .
[tex]|z| = 5\sqrt{2}[/tex]
Pull terms out from under the radical.
[tex]|z| = 5\sqrt{2}[/tex]
The angle of the point on the complex plane is the inverse tangent of the complex portion over the real portion.
[tex]0 = arctan (\frac{-5}{-5} )[/tex]
Since inverse tangent of [tex]\frac{-5}{-5}[/tex] produces an angle in the third quadrant, the value of the angle is [tex]\frac{5\pi }{4}[/tex] .
[tex]0 = \frac{5\pi }{4}[/tex]
Substitute the values of [tex]0 = \frac{5\pi }{4}[/tex] and [tex]|z| = 5\sqrt{2}[/tex] .
[tex]5\sqrt{2} ( cos( \frac{5\pi}{4}) + i sin (\frac{5\pi}{4}))[/tex]
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Hope this helped you.
Could you maybe give brainliest..?
❀*May*❀
The complex number (5 - 5i) in trigonometric form is
5√2 [cos(-π/4) + i sin(-π/4)]
What is an imaginary number?An imaginary number is denoted by i.
The value of i is √-1.
We have,
To express the complex number (5 - 5i) in trigonometric form,
We first need to find its modulus (r) and argument (θ).
The complex number (a - bi) in trigonometric form is
|r| [cosФ + i sinФ]
Now,
Modulus (r).
|r| = √(5² + (-5)²)
= √(50)
= 5√(2)
And,
Argument (θ).
θ = [tex]tan^{-1}[/tex](-5/5)
= -π/4
(since the complex number is in the fourth quadrant)
Therefore,
The complex number (5 - 5i) in trigonometric form is
5√2 [cos(-π/4) + i sin(-π/4)]
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A swimming pool can be emptied in 6 hours using a 10-horsepower pump along with a 6-horsepower pump. The 6-horsepower pump requires 5 hours more than the 10-horsepower pump to empty the pool when working by itself. How long will it take to empty the pool using just the 10-horsepower pump?
Answer: 10 hours
Step-by-step explanation:
The 10hp pump takes x hours to empty the pool which means it gets [tex]\dfrac{1}{x}[/tex] of the job done in one hour.
The 6hp pump takes x+5 hours to empty the pool which means it gets [tex]\dfrac{1}{x+5}[/tex] of the job done in one hour.
Together, they can get [tex]\dfrac{1}{x}+\dfrac{1}{x+5}[/tex] of the job done in one hour.
It is given that together they get the job done in 6 hours which means they get [tex]\dfrac{1}{6}[/tex] of the job done in one hour.
10 hp pump + 6 hp pump = Together
[tex]\dfrac{1}{x}\quad +\quad \dfrac{1}{x+5}\quad =\quad \dfrac{1}{6}[/tex]
Multiply by 6x(x+5) to eliminate the denominator:
[tex]\dfrac{1}{x}(6x)(x+5) +\dfrac{1}{x+5}(6x)(x+5) = \dfrac{1}{6}(6x)(x+5)[/tex]
Simplify and solve for x:
6(x + 5) + 6x = x(x + 5)
6x + 30 + 6x = x² + 5x
12x + 30 = x² + 5x
0 = x² - 7x - 30
0 = (x - 10)(x + 3)
0 = x - 10 0 = x + 3
10 = x -3 = x
Since the number of hours cannot be negative, disregard x = -3.
So, the only valid answer is x = 10.
A researcher wants to obtain a sample of 30 preschool children consisting of 10 two-year-old children, 10 three-year-old, and 10 four-year-old children. Assuming that the children are obtained only from local daycare centers, this researcher should use ____ sampling.` Cluster probability quota simple random stratified random
Answer:
Quota Sampling
Step-by-step explanation:
Quota Sampling is a non-probability sampling method in research, where the researcher forms subgroups of individuals who are representative of the entire population through random selection. Quota sampling is often used by researchers who want to get an accurate representation of the entire population. It saves time and money especially if accurate samples are used.
In the example given above, where the research creates subgroups of 30 pre-school children by dividing them into 10 two-year-old children, 10 three-year-old, and 10 four-year-old children, he has applied the quota sampling. These subgroups would give a proper representation of the preschool children in local daycare centers.
There are 238 juniors at a high school The ratio of boys to girls in the junior class is 3:4. How many juniors are girls?
Answer:
59.5
Step-by-step explanation:
I know there cannot be half a human running around the school, and I don't exactly remember if you round up or down, but there are a total of 238 juniors in the school. you divide 238 by 4. the girls represent one fourth of the juniors, and the boys represent three fourths. thank you, please mark brainliest!
An electronics company designed a cardboard box for its new line of air purifiers. The figure shows the dimensions of the box.
The amount of cardboard required to make one box is___square inches.
a)130
b)111
c)109
d)84
Answer:
130
Step-by-step explanation:
just did test on plato/edmentum..it was correct
84 (the answer above) is incorrect
Answer:
Hi sorry for late respond but the answer in 130!!
Step-by-step explanation:
What fraction is equal to six-sevenths times eight-fifths?
Answer:
1 13/35 (mixed number) or 48/35 (simplified)
Step-by-step explanation:
6/7 times 8/5
= (6 times 8) / (7 times 5)
= 48/35 or 1 13/35
hope this helped :)
Answer:
48/35
Step-by-step explanation:
6/7*8/5=48/35
Are the following angle relationships possible? Explain.
Answer:
no
Step-by-step explanation:
The 5x+30 is the supplementary angle of the interior one:
180 - 5x - 30 = -5x + 150
Then they have to add up to 180:
4x-9 + 2x+3 -5x + 150 = 180
which simplifies to x = 36
So the angles would be 135, 75 and -30, which is impossible!