Which system of equations is represented by the matrix below ​

Answer:

y = -8/5 x + 31/5

Step-by-step explanation:

Write the slope-intercept form of the equation that passes through the point (2, 3) and is perpendicular to the line y = 5/8x - 4 y = 5/8x + 17/4 y = -5/8x + 7/4 y = -8/5x + 31/5 y = -8/5x - 31/5

The slopes of perpendicular lines are negative reciprocals.

Slope of given line: 5/8

Slope of perpendicular line: -8/5

Point on perpendicular line: (2, 3)

Slope-intercept form of the equation of a line:

y = mx + b

We know the slope of the perpendicular is -8/5, so now we have

y = -8/5 x + b

We need to find b.

We use the given point for x and y and solve for b.

y = -8/5 x + b

3 = -8/5 * 2 + b

15 = -8 * 2 + 5b

15 = -16 + 5b

5b = 31

b = 31/5

Now that we know that b = 5, we can write the equation of the perpendicular line:

y = -8/5 x + 31/5

Answer:

7/10

Step-by-step explanation:

10 dishes

3 meat dishes = ( chicken, hamburger, meatloaf)

10-3 = 7 that are not meat

P ( not meat) = not meat / total

                      =7/10

Answer:

7/10

Step-by-step explanation:

There are a total of 10 meals to choose from. There is 1 chicken, 1 hamburger, and 1 meatloaf. Together they make 3 meat choices. So there are 3/10 of probability of choosing meat. We are looking for the probability of not choosing meat which would be 7/10. This is because the whole amount of meals 10- 3 meat chooices equals 7 total of meals that are not meat. Which gives us the probability of 7/10.

Hope that was helpful!

(Brainliest???) :P

Answer:

D. x ≤ -18

Step-by-step explanation:

-x/6 ≥ 3

Multiply both sides by 6.

-x ≥ 3 × 6

-x ≥ 18

Multiply both sides by -1 and reverse the inequality.

x ≤ 18 × -1

x ≤ -18

Answer:

i. 4/8 or 1/2, ii. 2/8 or 1/4, iii. 0/8

Step-by-step explanation:

In the problem it says that there are 8 marbles in total, so for number 1 it'll be 4/8 or 1/2 since 4 of the marbles are blue. Number 2 will be 2/8 because there are only 2 green marbles and you can simplify 2/8 to 1/4. The last one would be 0 since the problem didn't mention that there are yellow marbles. Hope this helps :)

Answer:

x = B. 18 ROOT 2/ROOT 3

Step-by-step explanation:

There are two Triangles in the diagram above.

Step 1

We would solve for Triangle A First

Using Trigonometric function Cosine

cos θ = adjacent /hypotenuse

θ = 30°

Adjacent = 9 units

Hypotenuse = unknown

cos 30= 9/ Hypothenuse

Cross Multiply

cos 30 × Hypotenuse = 9

Hypotenuse = 9 / cos 30

cos 30 in surd form = √3/2

Hypotenuse = 9/√3/2

Hypotenuse = 9 × 2/√3

= 18/√3 units

Step 2

We would solve for the upper triangle = Triangle B

We are looking for x

θ = 45°

For Triangle B, the Hypotenuse we solved for in Triangle A is equivalent to the adjacent in Triangle B

Therefore ,

Hypotenuse for Triangle A = Adjacent side for Triangle B

θ = 45°

Adjacent = 18/√3 units

Hypotenuse = x = unknown

We would solve for this using Trigonometric function cosine

cos 45 = 18/√3 units / Hypothenuse

Cross Multiply

cos 45 × Hypotenuse = 18/√3 units

Hypotenuse = 18/√3 units / cos 45

cos 45 in surd form = 1/√2

Subtituting, we have

Hypotenuse (x) = 18/√3 units / 1/√2

Hypotenuse (x) = 18/√3 units ×√2/1

= 18× √2/ √3 units

= 18 √2/√3 units

Therefore x = Option B. 18 ROOT 2/ROOT 3

Answer:

18sqrt2/sqrt3

or B on Edg

Step-by-step explanation:

Answer:

exponential form =  2 ^8 = 4^ 4 = 16^ 2 = 256^ 1

Step-by-step explanation:

256

= 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2

= 2 ^8 = 4^ 4 = 16^ 2 = 256^ 1

Answer:

Step-by-step explanation:

[tex]2^{-7} \times2^9\times2^6\\\frac{1}{2^{7} } \times2^9\times2^6\\\frac{1}{128} \times 512 \times 64\\= 32768/128\\ = 256\\= 16^2 or\\ 4^4[/tex]

Answer:

9420 ft

Step-by-step explanation:

1500 revolutions = 1500 full rotations or 360 degrees

Circumference = 6.28 ft      ( 3.14 x 2 )

Then we take rotations by the circumference

1500 x 6.28 = 9420

MARK AS BRAINLIEST

Answer:

9420 ft  or  2.88 km

Step-by-step explanation:

d= 2 ft

1500 revs

C= πd= 3.14*2= 6.28 ft

distance= 1500*6.28= 9420 ft ≈ 2.88 km

Answer:

3. 1/9 feet^3

Step-by-step explanation:

First, find the volume of one cube.

The volume of a cube can be found using the following formula:

V=s^3

We know that s, the side length is 1/3 feet. Therefore, we can substitute 1/3 ft in for s.

V= (1/3 ft)^3

Evaluate the exponent.

1/3 ft^3

=1/3 ft * 1/3 ft* 1/3 ft

=1/9 ft^2*1/3 ft

= 1/27 ft^3

V= 1/27 ft^3

Now find the volume of 3 cubes. We know the volume of one cube is 1/27 ft^3, therefore we can multiply 1/27 ft^3 by 3.

1/27 ft^3 * 3

Multiply 1/27 and 3.

1/27 * 3/1

=(1*3)/(27*1)

=3/27

=1/9

V= 1/9 ft^3

The volume of 3 cubes is 1/9 cubic feet, and choice 3 is correct.

Answer:

1/9; C

Step-by-step explanation:

V=s*s*s

Side Length: 1/3

V=1/3*1/3*1/3

V=1/27

1/27*3= 3/27

3/27 simplified eqauls 1/9

Answer: x = 10

Step-by-step explanation:

Hi, to answer this question we have to apply proportions, since the sides are equivalent.

15/25

6/x

So, for equal ratios:

15/25 = 6/x

Solving for the missing side x:

x = 6 / (15/25)

x = 10

In conclusion, the correct option is D) 10

Feel free to ask for more if needed or if you did not understand something.  

Answer:

If you're not an art club member and you want to request the art class, you have a greater chance of getting into our class. There isn't an equal opportunity for all students to get into the art class they requested, therefore the class assignment is unfair.

As a non-art club member, you have a 79% chance of being assigned to the art class they request.

As an art club member, you have a 61% chance of being assigned to the art class they request.

Step-by-step explanation:

265, divided 335, that's 79%. So this means that if you are not in the art club and you wish to enroll in an art class, you have 79% of percent of being admitted in your request in art class.

Total not in art club 335/ Total students 500= 0.791= 0.79%

Art class and in art club 100/ Total in art club 165= 0.606 = 0.61%

Non art club requested 79% against art club requested 61%.

Answer:

Step-by-step explanation:

B

Answer:

Answer is x = 3

Step-by-step explanation:

x = 2+ 1/2 * 2

x = 3

Answer:

x= 3 and y = 2 is the answer..

Answer:

D) Convenice

Step-by-step explanation:

People who called in were already wiilling to answer with a 50 cent charge and had available time to answer the survey

Answer:

Two mittens and seven gloves  

Step-by-step explanation:

I presume you are asking how many mittens and how many gloves Beth should knit to produce the most profit.

Let x = the number of mittens and

Let y = the number of gloves

1. Summarize the information in a table

[tex]\begin{array}{cccc}&\textbf{Mittens}& \textbf{ Gloves} & \textbf{Minutes Available}\\\text{Machine A} & 2 & 4 & 32\\\text{Machine B} & 2 & 2 & 18\\\text{Machine C} & 4 & 1 & 24\\\text{Unit profit} & $8.00 & $10.00 & \\\end{array}[/tex]

2. List the constraints

(a) Beth can't make a negative number of mittens, so

x ≥ 0.

(b) Neither can she make a negative number of gloves, so

y ≥ 0.

(c) The total number of minutes on Machine A cannot exceed 32, so

2x + 4y ≤ 32.

(d) The total number of minutes on Machine B cannot exceed 18, so

2x + 2y ≤ 18.

(e) The total number of minutes on Machine C cannot exceed 24, so

4x +   y ≤ 24.

3. Write an equation for the profit

P = 8.00x + 10.00y

4. Graph the constraints to identify the feasible region

See the figure below. The feasible region is the dark green area where all three regions overlap.

5. Determine the points of intersection between the constraints  

(i) Constraints (c) and (d)

[tex]\begin{array}{rcr}2x + 4y & = & 32\\2x + 2y & = & 18\\2y & = & 14\\y & = & \mathbf{7}\\2x + 14 & = & 18\\2x & = &4\\x & = & \mathbf{2}\\\end{array}\\[/tex]

The lines intersect at (2,7).

(ii) Constraints (c) and (e)

[tex]\begin{array}{rcl}2x + 4y & = & 32\\4x + y & = & 24\\4x + 8y & = & 64\\7y & = & 40\\y & = & \mathbf{\dfrac{40}{7}}\\\\4x + \dfrac{40}{7} & = & 24\\\\4x & = &24 - \dfrac{40}{7}\\\\4x & = & \dfrac{128}{7}\\\\x & = & \mathbf{\dfrac{32}{7}}\\\\\end{array}\\[/tex]

The lines intersect at (27/7,32/7).

(iii) Constraints (d) and (e)

[tex]\begin{array}{rcr}2x + 2y & = & 18\\4x + y & = & 24\\4x + 4y & = & 36\\3y & = & 12\\y & = & \mathbf{4}\\4x +4 & = & 24\\4x & = &20\\x & = & \mathbf{5}\\\end{array}\\[/tex]

The lines intersect at (5,4).

6. Determine the x- and y-intercepts of the feasible region

(i) x-intercept

[tex]\begin{array}{rcr}4x + y & = & 24\\4x + 0 & = & 24\\x & = & \mathbf{6}\\\end{array}[/tex]

The x-intercept is at (6,0).

(ii) y-intercept

[tex]\begin{array}{rcr}2x + 4y & = &32\\2(0) + 4y & = &32\\4y & = & 32\\y & = & \mathbf{8}\\\end{array}[/tex]

The y-intercept is at (0,8).

The five black dots are the vertices of the polygon that represents the feasible region.

7. Calculate the maximum profit

Calculate the profit at each of the vertices.

(i) At (0,0)

P = 8.00x + 10.00y = 8.00(0) + 10.00(0) = 0 + 0 = $0

(ii) At (2,7)

P =  8.00(2) + 10.00(7) = 16 + 70 = $86

(iii) At (5,4)

P =  8.00(5) + 10.00(4) = 40 + 40 = $80

(iv) At (6,0)

P =  8.00(6) + 10.00(0) = 48 + 0 = $48

The maximum profit occurs at (2,7)

Thus, Beth should knit two mittens and seven gloves.

Answer:

7. a= 110°

8. b= 70°

9. e= 140°

10. h= 150°

11. i= 150°

Step-by-step explanation:

I put the following rules in case you forgot them:

First Rule : Sum of angles of the triangle is 180°.

um of angles of the triangle is 180°

Second Rule : Sum of supplementary angles (angles of straight angle) is 180°.

Third Rule : Vertically Opposite Angles are equal.

7. Find the measure of a

a= 180° - 30° - 40° = 110° (using first rule i wrote it above)

8. Find the measure of b.

b= 180° - a = 180°- 110°= 70° (using second rule where a and b are supplementary angles)

9. Find the measure of e.

e= 180° - 40°= 140° (second rule where angles 40° and e are supplementary)

10. Find the measure of h.

h= 180° - 30°= 150° (second rule where h and the angle 30° are supplementary angles)

11. Find the measure of i.

i = h = 150° (third rule where i and h are vertically opposite angles)

Hope this helps.. Good Luck!

Answer:

The measure of angle ABC = The measure of Angle A' B' C'

Step-by-step explanation:

Because

<A = <A'

<B = <B'

<C = <C'

The answer above is right.

"sqrt" stands for "square root"

=======================================================

Explanation:

Angle C is 60 degrees because adding the angles gets A+B+C = 180. Put another way, C = 180-A-B. Therefore, C = 180-30-90 = 60.

We have a 30-60-90 triangle with

Check out the diagram below.

----------

From here, we use the 30-60-90 triangle template. The short leg is x, the hypotenuse is 2x and the long leg is x*sqrt(3). The area of this template triangle is

area = 0.5*base*height

area = 0.5*(short leg)*(long leg)

area = 0.5*x*(x*sqrt(3))

area = 0.5*x^2*sqrt(3)

set this equal to 32*sqrt(3) and you should find that 0.5x^2*sqrt(3) = 32*sqrt(3) solves to x = 8

----------

Therefore we can say,

Answer:

17.5 units

Step-by-step explanation:

We are given the following values from the diagram above

LA = 3.5 units

AY = Midpoint = 7.0 units

LW = unknown

Step 1

The first step is to determine what AW is.

From the right angled triangle, we obtained these proportions

LA : AY = AY : AW

= LA/AY= AY/AW

Cross Multiply

7× 7 = 3.5 × AW

49 = 3.5 AW

AW = 49/3.5

AW = 14 units

Step 2

LW = AW + LA

LW = 14 units + 3.5 units

LW = 17.5 units

Answer:

17.5 units

Step-by-step explanation:

i got this correct on khan thanks to adefunkeadewole.

thank you very much adefunkeadewole :)

Answer:

-12.6

Step-by-step explanation:

OK so I might have done something wrong but just remember when you're adding a negative and and a positive number you're technically just subtracting

Answer:

4

Step-by-step explanation:

(3^8 x 2^-5 x 9^0)^-2 x (2^-2/3^3)^4 x 3^28 =

= 3^-16 x 2^10 x 1 x 2^-8 x 3^-12 x 3^28

= 3^0 x 2^2

= 4

Answer:

(-2,3)

Step-by-step explanation:

When you reflect a point over the x axis, the y value is changed to the opposite value (positive)

So (2,-3) reflected across the x axis is (2,3)

Next, we need to reflect this across the y axis

When you reflect a point over the y axis, the x value is changed to the opposite value (negative)

(2,3) reflected across the y axis is (-2,3)

Answer:

The Eastern region has more than 3 million males.

Answer:

The correct option is;

1560 = 30(52) + b

Step-by-step explanation:

The cost of the first job = $1,200 in labor and expenses

The number of hours worked in the first job = 40

The second job costs $1,560 in labor and expenses

The number of hours worked in the second job = 52

If the cost of labor per hour = L and the expenses = b, we have;

$1,200 = 40×L + b......................(1)

$1,560 = 52×L + b.......................(2)

Subtracting equation (1) from (2), we have;

52×L + b - (40×L + b) =  52×L - 40×L + b - b = $1,560 - $1,200 = $360

12×L = $360

L = $360/12 = $30/hour

From equation (1), we have;

$1,200 = 40×L + X =  40×$30 + b

Therefore, the equation that can be used to calculate the y-intercept of the linear equation is either;

1200 = 40(30) + X or 1560 = 32(52) + b, which gives the correct option as 1560 = 32(52) + b

Step-by-step explanation:

The numical sum of probabilities P(A) and P(B) = 4/7+1/7 = 5/7

Events A and B cannot be complementary because complementary events have their probabilities add up to exactly one.

Since P(A)+P(B)=5/7, A and B cannot be complementary.

Answer:

1/9 cubic feet

Step-by-step explanation:

The volume of one cube would be (1/3)³ = 1/27, therefore the volume of three cubes would be triple that amount, which is 1/27 * 3 = 1/9 ft³.

Answer:

4

Step-by-step explanation:

3(x - 2) = 5x - 14      (given)

3x -6 = 5x -14          (Distribute the "3" to "x" and "2")

-2x -6 = -14              (subtract "5x" from both sides)

-2x = -8                    (Subtract "-6" from both sides)

x = 4                         (divide both sides with "-2")

Answer:

D. f(x)=3^x+5

Step-by-step explanation:

D. have a domain and range

Answer:

The y-intercept of the first inequality is -1.

The y-intercept of the second inequality is +1.

The fourth graph has these correct.

Answer:

solution,

A(0,0)---->(X1,y1)

B(6,3)---->(x2,y2)

Now,

[tex]ab = \sqrt{ {(x2 - x1)}^{2} + (y2 - y1) ^{2} } \\ \: \: \: = \sqrt{ {(6 - 0)}^{2} + {(3 - 0)}^{2} } \\ \: \: \: = \sqrt{ {(6)}^{2} + {(3)}^{2} } \\ \: \: \: \: = \sqrt{36 + 9} \\ \: \: \: \: = \sqrt{45} \\ \: \: \: = 3 \sqrt{5 } \: units[/tex]

Hope this helps...

Good luck on your assignment..