All categories

3 years ago

Solve for x. 3x+1/14=2x/8

1 answer:

5 0

It depends if it is
1. 3x+(1/14)=(2x)/8 or
2. (3x+1)/14=(2x)/8

if it is 1

1.
3x+(1/14)=2x/8
simplify 2x/8
2x/8=x/4
3x+(1/14)=x/4
find least common multiple of 14 and 4
factors of 14=2 and 7
factors of 4 are 2 and 2 so LCM=2 times 2 times 7=28
multiply both sides by 28
84x+2=7x
subtract 7x from both sides
77x+2=0
subtract 2 from both sides
77x=-2
divide both sides by 77
x=-2/77

2.
(3x+1)/14=2x/8
simpify 2x/8
2x/8=x/4
(3x+1)/14=x/4
find least common multiple of 14 and 4
factors of 14=2 and 7
factors of 4 are 2 and 2 so LCM=2 times 2 times 7=28
multiply both sides by 28
(2)(3x+1)=7x
distribute
6x+2=7x
subtract 6x from both sides
2=x

You might be interested in

Could anyone help me with this question? And could you also provide a explanation? I would be so grateful for any help.

Art [367]

Answer:

Step-by-step explanation:

7a(3-a)

7 0

3 years ago

Allison plays basketball and last season she made a total of 87 shots (two- or three- point shots). Her points total was 191. Ho

yarga [219]

Answer:

Step-by-step explanation:

Let the number of 2 point shots be t.

Let the number of 3 point shots be h.

Allison made 87 shots and scored 191 total points. This implies two things:

t + h = 87 ________(1)

2t + 3h = 191 ______(2)

Let us eliminate t by multiplying (1) by 2 and subtracting from (2):

=> 2t + 3h = 191

- 2t + 2h = 174

h = 17

Therefore, she made 17 three point shots.

4 0

3 years ago

Ghost, Inc., has no debt outstanding and a total market value of $369,600. Earnings before interest and taxes, EBIT, are project

arlik [135]

Answer:

Ghost Inc.

A1.

Earnings Per share (EPS)

EPS in normal projection is $4.61 per share

EPS in an expansion is $5.31 Per share

EPS in a recession is $3.51 Per share

A2.

Changes to EPS in an expansion is +15.18%

Changes to EPS in a recession is -23.86%

B1.

Earnings Per share (EPS)

EPS in normal projection is $7.23 per share

EPS in an expansion is $8.62 Per share

EPS in a recession is $5.01 Per share

B2.

Changes to EPS in an expansion is +19.23%

Changes to EPS in a recession is -30.71%

Step-by-step explanation:

Underlying Information:

Earnings before interest and taxes, EBIT projections = $51,000

Expansionary EBIT projections = $51,000 x (100% + 15%) = $58,650

Recessionary EBIT projections = $51,000 x (100% -24%) = $38,760

Tax Rate = 24%

Market to Book Ratio = 1.0

Stock Price is constant.

Solution to A1.

Scenario 1 (Projected Earnings)

Earnings Per Share (EPS) = Net Income (Earnings after Tax) divided by Outstanding Shares in Issue

Net Income = EBIT minus tax = $51,000 - ($51,000 x 24%)

= $51,000 - $12240

= $38,760

Outstanding shares in issue = 8,400 ordinary Shares

EPS = $38,760 divided by 8,400 shares = $4.61 Per share

Scenario 2 (Projected Earnings in a strong expansion)

Earnings Per Share (EPS) = Net Income (Earnings after Tax) divided by Outstanding Shares in Issue

Net Income = EBIT minus tax = $58,650 - ($58,650 x 24%)

= $58,650 - $14,076

= $44,574

Outstanding shares in issue = 8,400 ordinary Shares

EPS = $44,574 divided by 8,400 shares = $5.31 Per share

Scenario 3 (Projected Earnings in a Recession)

Earnings Per Share (EPS) = Net Income (Earnings after Tax) divided by Outstanding Shares in Issue

Net Income = EBIT minus tax = $38,760 - ($38,760 x 24%)

= $38,760 - $9,302.4

= $29,457.6

Outstanding shares in issue = 8,400 ordinary Shares

EPS = $44,574 divided by 8,400 shares = $3.51 Per share

Solution to A2.

1.Changes to EPS in an expansion = EPS (Expansion) minus EPS (normal projection), all divided by EPS (normal projection)

= (5.31 - 4.61) / 4.61

= +15.18% change during an expansion

2.Changes to EPS in a recession = EPS (Recession) minus EPS (normal projection), all divided by EPS (normal projection)

= (3.51 - 4.61) / 4.61

= -23.86% change during a recession

Underlying Information:

Debt issue = $185,000

Interest on debt issued = 6% = $11,100

Market to Book Ratio = 1.0

Stock Price is constant.

Therefore Share Price = Market Value divided by Outstanding shares in issue = 369,600 / 8400 = $44

This implies our proceeds of $185,000 from debt issue would have repurchased $185,000 divided by $44 = 4,205 ordinary shares

This decision to repurchase its shares indicates the shares outstanding will reduce by 4,205. New outstanding shares will now be 4,195 shares

*Earnings before interest and taxes, EBIT normal projections = $51,000 & Earnings Before Tax (EBT) = $51,000 minus $11,100 (debt interest) = $39,900

*Expansionary EBIT projections = $51,000 x (100% + 15%) = $58,650 & Earnings Before Tax = $58,650 minus $11,100 (debt interest) = $47,550

*Recessionary EBIT projections = $51,000 x (100% -24%) = $38,760 & Earnings Before Tax = $38,760 minus $11,100 (debt interest) = $27,660

Tax Rate = 24%

Solution to B1.

Scenario 1 (Projected Earnings)

Earnings Per Share (EPS) = Net Income (Earnings after Tax) divided by Outstanding Shares in Issue

Net Income = EBT minus tax = $39,900 - ($39,900 x 24%)

= $39,900 - $9,576

= $30,324

Outstanding shares in issue = 4,195 ordinary Shares

EPS = $30,324 divided by 4,195 shares = $7.23 Per share

Scenario 2 (Projected Earnings in a strong expansion)

Earnings Per Share (EPS) = Net Income (Earnings after Tax) divided by Outstanding Shares in Issue

Net Income = EBT minus tax = $47,550 - ($47,550 x 24%)

= $47,550 - $11,412

= $36,138

Outstanding shares in issue = 4,195 ordinary Shares

EPS = $36,138 divided by 4,195 shares = $8.62 Per share

Scenario 3 (Projected Earnings in a Recession)

Earnings Per Share (EPS) = Net Income (Earnings after Tax) divided by Outstanding Shares in Issue

Net Income = EBT minus tax = $27,660 - ($27,660 x 24%)

= $27,660 - $6,638.40

= $21,021.60

Outstanding shares in issue = 4,195 ordinary Shares

EPS = $21,021.60 divided by 4,195 shares = $5.01 Per share

Solution to B2.

1.Changes to EPS in an expansion = EPS (Expansion) minus EPS (normal projection), all divided by EPS (normal projection)

= (8.62 - 7.23) / 7.23

= +19.23% change during an expansion

2.Changes to EPS in a recession = EPS (Recession) minus EPS (normal projection), all divided by EPS (normal projection)

= (5.01 - 7.23) / 7.23

= -30.71% change during a recession

6 0

2 years ago

If edging cost $2.32 per 12-inch stone, and you want a double layer of edging around your flower bed that is 6 yards by 1 yard.

aksik [14]

12 inches = 1foot
1yard = 3feet
6yards = 18feet
Rerange the question:
If edging cost $2.32 per 1foot stone, and you want a double layer of edging around your flower bed that is 18feet by 3feet. How much will edging you flower bed cost?
Perimter:
2(18+3)=42
And since you want to double it; double the perimeter too.
42(2)=84

2.32(84)=194.88

7 0

3 years ago

Read 2 more answers

A right rectangular pyramid is sliced vertically (down) by a plane passing

Anton [14]

A right rectangular pyramid when sliced vertically, the shape of the cross-section is known as Triangle.

<h3>What is A triangle?</h3>

This is known to be a kind of shape that is said to be in a closed form and it is also known to be a 2-dimensional shape that has 3 sides, 3 angles, and also 3 vertices.

Note that when the when the right rectangular pyramid is sliced vertically (down) by a plane passing through the of the pyramid, the new shape of the cross-section is a triangle.

See full question below

A right rectangular pyramid is sliced vertically (down) by a plane passing through the of the pyramid. What is the shape of the cross-section?

A. Rectangle

B. Pyramid

C. Triangle

D. Trapezoid

See full question below

Learn more about triangle from

brainly.com/question/17335144

#SPJ1

3 0

2 years ago