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2 years ago

Emily gave 20% of her buttons to Jake. How many total buttons did Emily start with if she gave 15 buttons to Jake?

Mathematics

1 answer:

kompoz [17]2 years ago

8 0

Answer:

Step-by-step explanation:

20%(x) =15

x=75

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4. Castles and Coasters charges $12 to get

Vlad1618 [11]

20+x = 12+2x is the answer and x=8

5 0

2 years ago

A dealer gains 16% by selling a mop for rs.78300.but due to competition in the market, he decides to make a profit of only 10%.

vesna_86 [32]

Answer:

The correct answer is - 72,349.2

Step-by-step explanation:

Given:

selling price = 7234.92

Initial profit = 16%

we know:

selling price = cost price + profit

Solution:

78300 = cp + 16*cp/100

profit = 78300*16/100 = 12528

cost price = 78300 - 12528 = 65772

then the profit on 10%

= 65772*10/100

= 6577.2

the new selling price = 65772+6577.2

= 72,349.2

3 0

2 years ago

Sin(60-theta)sin(60+theta)

ehidna [41]

Step-by-step explanation:

$\sin(60 - \theta) \sin(60 + \theta) \\ = \{ \sin(60) \cos( \theta) - \sin( \theta) \cos(60) \} \{ \sin(60) \cos( \theta) + \cos(60) \sin( \theta) \} \\ = \{ \frac{ \sqrt{3} }{2} \cos( \theta) - \frac{1}{2} \sin( \theta) \} \{ \frac{ \sqrt{3} }{2} \cos( \theta) + \frac{1}{2} \sin( \theta) \} \\ \\$

from difference of two squares:

${ \boxed{(a - b)(a + b) = ( {a}^{2} - {b}^{2} ) }}$

therefore:

$= \{ {( \frac{ \sqrt{3} }{2}) }^{2} { \cos }^{2} \theta \} - \{ {( \frac{ \sqrt{3} }{2} )}^{2} { \sin }^{2} \theta \} \\ \\ = \frac{3}{4} { \cos }^{2} \theta - \frac{3}{4} { \sin}^{2} \theta$

factorise out ¾ :

$= \frac{3}{4} ( { \cos }^{2} \theta - { \sin}^{2} \theta) \\ \\ = { \boxed{ \frac{3}{4} \cos(2 \theta) }}$

3 0

2 years ago

Read 2 more answers

Can anyone help me with 3 and 4

Gnoma [55]

No as they do not simplify into the same fraction
linear as it the volume is a fraction to the side

5 0

2 years ago

Make y the subject of these equations.<br> by² = d<br> Jay = 6<br> ay - cy = d.<br> cy - b) = y

allsm [11]

Answer:

See all the answers below.

Step-by-step explanation:

by² = d

Jay = 6

ay - cy = d.

cy - b) = y

Option A

by² = d

divide both side by b

y² = d/b

square both sides

y=√d/b

Option B

Jay = 6

Divide both sides by Ja

y= 6/Ja

Option C

ay - cy = d

y(a-c)=d

divide both sides by (a-c)

y= d/(a-c)

Option D

(cy - b) = y

y-cy=-b

y(1-c)=-b

y= -b/(1-c)

6 0

2 years ago