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4 years ago

A bottle of soft drink is two thirds full. Jack drinks one quarter of the remaining soft drink. How full is the bottle now

Mathematics

2 answers:

marusya05 [52]4 years ago

8 0

We know that the bottle of soft drink has a remaining volume which is 2 / 3 of the original.

Since Jack drank 1 / 4 of the remaining volume, hence only 3 / 4 now finally remains, the total is:

(2 / 3) * (3 / 4) = 6 / 12 = 1 / 2

Hence the bottle is now one half full

Lostsunrise [7]4 years ago

8 0

Charli,

First find what 1/4 of 2/3 is.

1/4 of 2/3 = 1/6

(That is 1/4 times 2/3 = 1/6)

So, the bottle was 2/3 full, it is now ...

2/3 - 1/6

=4/6 - 1/6

= 3/6 or 1/2 full.

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How long does it take $500 to double at a simple interest rate of 24%?

yuradex [85]

Answer:

4 years and 2 months

Step-by-step explanation:

Simple interest formula

A = P(1 + rt)

where:

A = final amount
P = principal amount
r = interest rate (in decimal form)
t = time (in years)

Given:

A = $500 × 2 = $1,000
P = $500
r = 24% = 0.24

Substitute the given values into the formula and solve for t:

$\implies \sf 1000 = 500(1 + 0.24t)$

$\implies \sf \dfrac{1000}{500}=(1 + 0.24t)$

$\implies \sf 2=1 + 0.24t$

$\implies \sf 1 = 0.24t$

$\implies \sf t=\dfrac{1}{0.24}$

$\implies \sf t=4 \frac{1}{6} \:years$

$\implies \sf t=4\:years\:2\:months$

Therefore, it takes 4 years and 2 months for the initial investment of $500 to double at a simple interested rate of 24%.

3 0

2 years ago

At one farmers market, bananas cost $0.80 per pound. At another’s farmers market, bananas are sold in 5-pound bags for $4.50 per

Dmitry_Shevchenko [17]

Answer:

$0.80 per pound is the better buy

Step-by-step explanation:

$\frac{4.5}{5}$ = 0.9

$0.90 per pound for the $4.50/5 pounds of bananas

7 0

4 years ago

(Please dont ignore, need help) ❗️

fomenos

Since 5•x=5x, which means that the large side is x times larger, x•x should equal 4.
If x^2=4,x=2
so x=2

7 0

3 years ago

Read 2 more answers

Mika earns $25 for every 3 hrs of work. Calder earns $15 for every 2 hrs of work. If Calder works long enough to earn the same a

asambeis [7]

Calder would have to work 10 hours to equal the same amount Mika has from 9 hours of work

Here's how:
Since Mika works 9 hours and she gets 25 per 3 hours, to get her amount for 9 hours, you times 25 by 3 which is 75

Now you need to set up a equation
To make it easier. you can divide 15 by 2, which is 7.5, to get a unit rate
After that you can set up your equation
7.5x=75
x=10
Hope this helps:)

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3 years ago

Am I correct on question #6?

pashok25 [27]

Option A:

$\tan(105^\circ)=-(2+\sqrt{3})$

Solution:

To evaluate tan(105)°:

105° can be written as sum of 60° and 45°.

tan(105)° = tan(45 + 60)°

Using the summation identity:

$$\tan (x+y)=\frac{\tan (x)+\tan (y)}{1-\tan (x) \tan (y)}$

$$\tan \left(105^{\circ}\right)=\frac{\tan \left(45^{\circ}\right)+\tan \left(60^{\circ}\right)}{1-\tan \left(45^{\circ}\right) \tan \left(60^{\circ}\right)}$