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3 years ago

Solve the following setting up proportion, cross multiply, and solve for unknown or use (whole)

Mathematics

1 answer:

Alekssandra [29.7K]3 years ago

7 0

Answer:

60%

Step-by-step explanation:

73:120*100=

(72*100):120=

7200:120=60

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How many ways can you select a committee of 4 students out of 10 students?

Aleks04 [339]

$\binom{10}{4}=\frac{10!}{6!4!}=\frac{10(9)(8)(7)}{24}=10(3)(7)=\boxed{210}$

3 0

2 years ago

Write the expression in exponential form. <br><img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B10%7D%20" id="TexFormula1" title="

adoni [48]

<h3>Answer: 10^(1/2)</h3>

When we use an exponent of 1/2, it is the same as a square root. The more general rule is

$\sqrt{x} = x^{1/2}$

In this case, we plug in x = 10.

The use of a fractional exponent is handy when you want to deal with things like cube roots on a calculator. This is because

$\sqrt[3]{x} = x^{1/3}$

Many calculators don't have a button labeled $\sqrt[3]{}$ but they have the button $x^y$ to allow fractional exponents.

3 0

3 years ago

In an arithmetic sequence, the nth term an is given by the formula an=a1+(n−1)d, where a1 is the first term and d is the commo

Dmitry_Shevchenko [17]

Answer:

$a_{10} = \frac{10}{65536}$

Step-by-step explanation:

The first step to solving this problem is verifying if this sequence is an arithmetic sequence or a geometric sequence.

This sequence is arithmetic if:

$a_{3} - a_{2} = a_{2} - a_{1}$

We have that:

$a_{3} = 40, a_{2} = 10, a_{3} = \frac{5}{2}$

$a_{3} - a_{2} = a_{2} - a_{1}$

$\frac{5}{2} - 10 = 10 - 40$

$\frac{-15}{2} \neq -30$

This is not an arithmetic sequence.

This sequence is geometric if:

$\frac{a_{3}}{a_{2}} = \frac{a_{2}}{a_{1}}$

$\frac{\frac{5}[2}}{10} = \frac{10}{40}$

$\frac{5}{20} = \frac{1}{4}$

$\frac{1}{4} = \frac{1}{4}$

This is a geometric sequence, in which:

The first term is 40, so $a_{1} = 40$

The common ratio is $\frac{1}{4}$ , so $r = \frac{1}{4}$ .

We have that:

$a_{n} = a_{1}*r^{n-1}$

The 10th term is $a_{10}$ . So:

$a_{10} = a_{1}*r^{9}$

$a_{10} = 40*(\frac{1}{4})^{9}$

$a_{10} = \frac{40}{262144}$

Simplifying by 4, we have:

$a_{10} = \frac{10}{65536}$

3 0

4 years ago

Explain how to divide 3/4 ÷ 3/8 by using reciprocal of 3/8

sertanlavr [38]

The reciprocal of 3/8 would be 8/3 (basically reversing the numbers).

When dividing fractions, you can just multiply the first fraction by the reciprocal of the second fraction instead of dividing by the second fraction.

3/4 ÷ 3/8

= 3/4 × 8/3

Simplifying gives us the final answer:

= 2

Let me know if you need any clarifications, thanks!

5 0

3 years ago

The line has the same slope as 7x-y=5 and the same y intercept as the graph 3y-11x=15

scoundrel [369]

7x - y= -5. Standard form is when it is written with x and y on the same side, but x is not negative or a fraction. To find the slope and y intercept, you must change the first two equations to slope intercept. You get y=7x-5 for the first one and y=11/3x+5 for the seccond equation. Take the 5 as your y intercept and the 7 as your slope and you get y=7x+5. Now you need to change it into standard form. When all is said and done, your final answer should be 7x - y = -5.

4 0

3 years ago

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Solve the following setting up proportion, cross multiply, and solve for unknown or use (whole)​

Solve the following setting up proportion, cross multiply, and solve for unknown or use (whole)