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3 years ago

Roberto finished 2/3 of the race in 4 hours. How long is the entire race?

Mathematics

2 answers:

Tcecarenko [31]3 years ago

6 0

Answer:

6 hours

Step-by-step explanation:

because it took 4 hours to do 2/3 meaning that in one hour it took 2 hours so due to 3/3 being done at 2 hours a piece puts it at 6 hours

ivann1987 [24]3 years ago

6 0

6 Hours.
Just racking up points.

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A cube has a volume of 512 mm^3. If all sides of the cube are divided by 4, what will the resulting volume be?

pshichka [43]

$\bf \textit{volume of a cube}\\\\
V=s^3\qquad \boxed{s=\frac{s}{4}}\implies V=\left( \cfrac{s}{4} \right)^3\implies V=\cfrac{s^3}{4^3}\implies V=s^3\cdot \cfrac{1}{4^3}
\\\\\\
V=s^3\cdot \cfrac{1}{64}\impliedby \frac{1}{64}\textit{ of the original volume, if the original was 512}
\\\\\\
512\cdot \cfrac{1}{64}\implies \cfrac{512}{64}$

3 0

3 years ago

A container of medication holds 500 mL when full. The pharmacist has used 5/6 of the medication. How many milliliters are still

tankabanditka [31]

Is 5/6 in mL as well?

3 0

3 years ago

Solve 3x + 2 = 15 for x using the change of base formula log base b of y equals log y over log b. −1.594 0.465 2.406 4.465

disa [49]

<u>Answer:</u>

The value in 3x + 2 = 15 for x using the change of base formula is 0.465 approximately and second option is correct one.

<u>Solution:</u>

Given, expression is $3^{(x+2)}=15$

We have to solve the above expression using change of base formula which is given as

$\log _{b} a=\frac{\log a}{\log b}$

Now, let us first apply logarithm for the given expression.

Then given expression turns into as, $x+2=\log _{3} 15$

By using change of base formula,

$x+2=\frac{\log _{10} 15}{\log _{10} 3}$

x + 2 = 2.4649

x = 2.4649 – 2 = 0.4649

Hence, the value of x is 0.465 approximately and second option is correct one.

3 0

3 years ago

Read 2 more answers

Can someone please help me? I don't understand question d.

Sedaia [141]

Answer:

Step-by-step explanation:

From the previous answers you know the angles and side lengths of the triangle:

α = 60°

Ф = 30°

and the side lengths:

1,2 and √3.

Remember:

sin = opposite / hypotenuse

cos = adjacent / hypotenuse

tan = opposite / adjacent

Now you can read off from the triangle:

sin 30° = 1/2

cos 60° = 1/2

sin 60° = √3/2

cos 30° = √3/2

tan 30° = 1/√3

tan 60° = √3

3 0

3 years ago

Choose 3 ratios in simplest form. 3:9

Sonja [21]

Answer:

Step-by-step explanation:

1:3

6:18

9:27

are all equivlent ratios

7 0

3 years ago