Calculate the length of AB. *

Answer:

x=99

Step-by-step explanation:

Move all terms not containing  x  to the right side of the equation.

Answer:

5.1%

Step-by-step explanation:

We are told that 30 shares of Stock are purchased for $15/share..

This gives a total value of: 30 × 15 = $450.

Now,they are sold for $480 with a commission of $6. This means the final money getting to the seller is; 480 - 6 = $474.

Thus; rate of return percentage = (474 - 450)/474) × 100% = 5.06%

To the nearest tenth gives; 5.1%

The rate of return is 5.1%.

Given that,

Based on the above information, the calculation is as follows:

The total value should be

[tex]= 30 \times 15[/tex]

= $450.

Since it is sold for $480 along with commission of $6 so final money should be  

= 480 - 6

= $474.

Now rate of return is

[tex]= ((474 - 450)\div 474) \times 100%[/tex]

= 5.06%

= 5.1%

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Answer:

c

Step-by-step explanation:

I think

The points that could be on the line

y = 7x - 16 are (-2, -30)

-30 = 7 X -2 - 16

-30 = -14 - 16

-30 = -30

Option B is the correct answer.

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

A line has a slope = 7 and passes through the point (3, 5).

Now,

The equation of a line can be written as,

y = mx + c

m = 7

y = 3x + c

Now,

(3, 5) = (x, y)

5 = 7 x 3 + c

5 = 21 + x

5 - 21 = c

c = -16

The equation of the line.

y = 7x - 16

The points that could be on the line have to satisfy the equation.

y = 7x - 16

A.

(-1, -24)

y = 7 x -1 - 16 = -7 - 16 = -23

This is not true

B.

(-2, -30)

y = 7 x -2 - 16 = -14 - 16 = -30

This is true.

C.

(6, 24)

y = 7 x 6 - 16 = 42 - 16 = 26

This is not true.

D.

(10,55)

y = 7 x 10 - 16 = 70 - 16 = 54

This is not true.

Thus,

The points that could be on the line

y = 7x - 16 are (-2, -30)

-30 = 7 X -2 - 16

-30 = -14 - 16

-30 = -30

Option B is the correct answer.

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Answer:

i don't know the right answer plse

Answer:

If the controller uses the high-low method to estimate costs, the cost equation for electricity costs is "Total cost = $5,010 + ($6.45 * Machine hours)".

Step-by-step explanation:

Note: The data needed to estimate costs using the high-low method is merged together. It is therefore sorted before answering the question as follows:

Month          Machine Hours          Electricity Costs

January              2,000                           $18,950

February            2,400                           $22,100

March                 1,400                            $14,050

April                   2,600                            $24,100

May                    3,300                            $28,800

June                   2,800                           $23,100

July                    3,600                            $25,300

August               3,000                            $23,300

September         1,500                             $16,600

October             3,200                             $27,100

November         4,200                             $32,100

December         3,700                             $28,300

The explanation of the answer is now provided as follows:

Step 1: Calculation of variable cost per hour

From the data above, the highest Machine Hours and Electricity Costs occur in November, while the lowest occur in March. Therefore, we have:

Variable cost per hour = (Highest Electricity Costs - Lowest Electricity Costs) / (Highest Machine Hours - Lowest Machine Hours = ($32,100 - $14,050) / (4,200 – 1,400) = $18,050 / $2,800 = 6.44642857142857

Rounding to 2 decimal places as required, we have:

Variable cost per hour = $6.45

Therefore, the variable-cost components using the high-low method is $6.45.

Step 2: Calculation of total fixed cost

The formula for calculating the total cost is given as follows:

Total cost = Total Fixed Cost + Total Variable Cost ................. (1)

Where;

Total Variable Cost = Variable cost per hour * Machine hours at a particular Electricity Costs

Using highest levels of activity and substitute into equation (1), we have:

$32,100 = Total Fixed Cost + ($6.45 * 4,200)

Total Fixed Cost = $32,100 - ($6.45 * 4,200) = $32,100 - $27,090 = $5,010

Therefore, the fixed-cost components using the high-low method is $5,010.

Step 3: Derivation of the cost equation for electricity costs

The cost equation for electricity costs can be obtained based on the total cost function given in equation (1) above, where:

Total Fixed Cost = $5,010

Total Variable Cost = Variable cost per hour * Machine hours = $6.45 * Machine hours

Substituting the values into equation (1), we have:

Total cost = $5,010 + ($6.45 * Machine hours)

Therefore, if the controller uses the high-low method to estimate costs, the cost equation for electricity costs is "Total cost = $5,010 + ($6.45 * Machine hours)".

Answer:

2 times each day

1 liter is 1000 milliliters

the watering can has a capacity of 3 liters which is 3000 milliliters

her plants need 6,000 milliliters of water each day which means that she will need to fill her watering can twice a day.

Answer:

83.8

Step-by-step explanation:

first you add the grades together: 75 + 87 + 90 + 88 + 79 = 419

then you divide by the amount of grades: 419 / 5 = 83.8

Answer:

2x²-24x+54

2(x²-12x+27)

2(x²-9x-3x+27)

2(x(x-9)-3(x-9))

2(x-9)(x-3)

Answer:

????

Step-by-step explanation:

Answer:

Step-by-step explanation:

here you go

Answer:

25°; 115°.

Step-by-step explanation:

all the details are in the attached picture, the answers is marked with red colour.

Answer:

L = 5[tex]\sqrt{10}[/tex]

Step-by-step explanation:

use Pythagorean Theorem:

L² + (5[tex]\sqrt{2}[/tex])² = (10[tex]\sqrt{3}[/tex])²

L² + 25(2) = 100(3)

L² + 50 = 300

L² = 250

L = [tex]\sqrt{250}[/tex] = [tex]\sqrt{25}[/tex] · [tex]\sqrt{10}[/tex] = 5[tex]\sqrt{10}[/tex]

Answer:

by Pythagoras law

(10√3)²=l²+(5√2)²

100×3-25×2=l²

l²=25o

l=√250=5√10

:.l=5√10

Answer:

4 2/5 x 5 1/2 = 24.2

Step-by-step explanation:

PLZZ MARK BRAINLIEST!!!

Answerc and d

Step-by-step explanation:

2+3+5

Answer:

68$ Is your answer

Step-by-step explanation:

Hope this helps

Answer:

d or $68

Step-by-step explanation:

Answer: D, C, A

Step-by-step explanation:

An exterior angle is an angle that is supplementary to an interior angle.

The angle between the extended side and its adjacent side is called the exterior angle so the option (D), (C), and (A) will be the correct answers.

Exterior angles become by a side of that figure and its extended adjacent side.

The exterior angle has been attached.

Since in the graph angle, ∠3 become by two extended lines but for exterior angle, there should be only one extended line which is ∠6, ∠5, and ∠2.

Hence angles ∠6, ∠5, and ∠2 will be the exterior angles.

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Answer:

Step-by-step explanation:

The solution is, The area of Rhombus B is 9 times bigger than the area of Rhombus A.  The reason is that 2 dimensions were tripled, so x3 x3 = 9 times bigger.

Area is the measure of a region's size on a surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object.

here, we have,

Rhombus A:

Area = 35 square inches

base = 7 inches

height = 5 inches

Rhombus B:

Area = 315 square inches

base = 21 inches (7 x 3)

height = 15 inches (5 x 3)

A = 21 x 15

so, we get,

The area of Rhombus B is 9 times bigger than the area of Rhombus A.  The reason is that 2 dimensions were tripled, so x3 x3 = 9 times bigger.

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complete question:

Rhombus A has base of 7 inches and an area of 35 square inches. Rhombus B has a Base and Height that are three times the base and height of Rhombus A. Find the area of Rhombus b and compare it to the area of rhombus A Explain

Answer:

0.020

Step-by-step explanation:

Given that,

μ = 17,

σ = 0.7,

x¯ = 16.7 hours

n(number of batteries) = 30

To find,

The probability(e) by using μ\frac{σ}{[tex]\sqrt{n}[/tex]} = normal cdf

∵ (E - 99, 16.7 , 17, 0.8/[tex]\sqrt{30}[/tex])

The probability of getting a random sample of 30 batteries = 0.020

Hence, the claim is reasonable as only 2% of batteries are likely to last till 16.7 hours.

Answer:

Step-by-step explanation:

Let the ends of the given segment are A and B.

Coordinates of A → (8, 6)

Coordinates of B → (12, 12)

If a point (x, y) is dilated by a scale factor 'k' about the origin, rule to be followed,

(x, y) → (kx, ky)

If k = [tex]\frac{2}{3}[/tex]

(x, y) → [tex](\frac{2}{3}x, \frac{2}{3}y)[/tex]

By this rule coordinates of the image points of A and B will be,

A(8, 6) → [tex]A'(\frac{2\times 8}{3},\frac{2\times 6}{3})[/tex]

           → A'(5.3, 4)

B(12, 12) → [tex]B'(\frac{12\times 2}{3}, \frac{12\times 2}{3})[/tex]

             → B'(8, 8)

Now we can get the image of segment AB after dilation by a scale factor of [tex]\frac{2}{3}[/tex].

Answer:

yes it is

Step-by-step explanation:

Yes the solution to p/9 = 7 is 63.

Answer:

2.68 hours

Step-by-step explanation:

Answer:

3 boxes?

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

1:23 :: x :69              (x = 69/ 23 )

1:23::2:69

9514 1404 393

Answer:

  29

Step-by-step explanation:

Let w represent the number of wins. Then the number of losses is w-18. The total number of games played is ...

  wins + losses = 40

  w + (w-18) = 40

  2w = 58

  w = 29

The Rangers won 29 games.

Answer:

sin; 7.7

Step-by-step explanation:

✔️Reference angle = 50°

Length of side opposite to reference angle = b

Hypotenuse = 10

✅The trigonometric function to use is sin

✔️To find b (opp), we would use:

Sin 50 = opp/hyp

Sin 50 = b/10

10 × sin 50 = b

b = 7.66044443 ≈ 7.7 (nearest tenth)

Answer: A

Step-by-step explanation:

Answer:5

Step-by-step explanation:I got it wrong and decided to give you guys the right answer.