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Margarita [4]
3 years ago
7

Carlos has \dfrac45 5 4 ​ start fraction, 4, divided by, 5, end fraction of a tank of fuel in his car. He uses \dfrac{1}{10} 10

1 ​ start fraction, 1, divided by, 10, end fraction of a tank per day. How many days will his fuel last? Carlos has \dfrac45 5 4 ​ start fraction, 4, divided by, 5, end fraction of a tank of fuel in his car. He uses \dfrac{1}{10} 10 1 ​ start fraction, 1, divided by, 10, end fraction of a tank per day. How many days will his fuel last? 10
Mathematics
2 answers:
Tresset [83]3 years ago
6 0

Answer:

8 days

Step-by-step explanation:

We are told in the question:

Carlos has 4/5 of a tank of fuel in his car. He uses 1/10 of a tank per day.

How many days will his fuel last?

1/10 of fuel = 1 day

4/5 of fuel = x

Cross Multiply

1/10 × x = 4/5 × 1

x = 4/5 / 1/10

x = 4/5 ÷ 1/10

x = 4/5 × 10/1

x = 8 days

His fuel lasts for 8 days

stira [4]3 years ago
4 0

Answer:

His fuel will last 8 days

Step-by-step explanation:

i got it right on khan academy

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(N^16) 1/4<br> Need help
Shtirlitz [24]

Answer:

{n}^{16} \times 1  \div 4 \\   {n}^{4}

Step-by-step explanation:

4 times 4 is 16 so while both are in power so we can do this like that

6 0
3 years ago
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If the composition of two functions is:
NARA [144]

9514 1404 393

Answer:

  x ≠ 3

Step-by-step explanation:

In any case, the domain is restricted to values of the variable for which the function is defined. The value 1/0 is not defined, so the variable cannot allow the denominator to be zero. The denominator x-3 will be zero for x=3, so that value of the variable cannot be in the domain.

The domain is all real numbers except x=3.

_____

<em>Additional comments</em>

It is useful to become familiar with the domains of different functions. As we saw above, the reciprocal of 0 is undefined. The square root of a negative number is undefined. The log of a non-positive number is undefined. Trig functions are defined everywhere, but their inverse functions are not. Polynomial functions are defined everywhere, but ratios of polynomials have the same restriction on denominators that we see above.

8 0
3 years ago
Find the exact length for the third side
andre [41]

Answer:

12

Step-by-step explanation:

Pythagorean theorem

a²+b²=c²

a²+35²=37²

a²+1225=1369

manipulate the equation

1225-1369=-a²

-144=-a²

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a=12

6 0
2 years ago
The figure is made up of a hemisphere and a cylinder.
Goryan [66]
Data: (Cylinder)
h (height) = 8 cm
r (radius) = 5 cm
Adopting: \pi \approx 3.14
V (volume) = ?

Solving:(<span>Cylinder volume)
</span>V = h* \pi *r^2
V = 8*3.14*5^2
V = 8*3.14*25
\boxed{ V_{cylinder}  = 628\:cm^3}

<span>Note: Now, let's find the volume of a hemisphere.
</span>
Data: (hemisphere volume)
V (volume) = ?
r (radius) = 5 cm
Adopting: \pi \approx 3.14

If: We know that the volume of a sphere is V = 4 * \pi *  \frac{r^3}{3}, but we have a hemisphere, so the formula will be half the volume of the hemisphere V =  \frac{1}{2}  * 4 * \pi *  \frac{r^3}{3} &#10;

Formula: (<span>Volume of the hemisphere)
</span>V = \frac{1}{2} * 4 * \pi * \frac{r^3}{3}

Solving:
V = \frac{1}{2} * 4 * \pi * \frac{r^3}{3}
V = \frac{1}{2} * 4 * 3.14 * \frac{5^3}{3}
V = \frac{1}{2} * 4 * 3.14 * \frac{125}{3}
V =  \frac{1570}{6}
\boxed{V_{hemisphere}\approx 261.6\:cm^3}


<span>Now, to find the total volume of the figure, add the values: (cylinder volume + hemisphere volume)
</span>
Volume of the figure = cylinder volume + hemisphere volume
Volume of the figure = 628 cm³ + 261.6 cm³
\boxed{\boxed{Volume\:of\:the\:figure = 1517.6\:cm^3}}\end{array}}\qquad\quad\checkmark
3 0
3 years ago
Read 2 more answers
Need help with my homework plz
pav-90 [236]

Answer:

C. 17/20, rational

Step-by-step explanation:

.25 + 3/5

The least common denominator is 20 so

.25=1/4=5/20

3/5=12/20; therefore,

5/20 + 12/20=17/20.

17/20 is a fraction so is rational.

3 0
3 years ago
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