All categories

3 years ago

Simplify the given involving the indicated division.

Mathematics

1 answer:

aev [14]3 years ago

7 0

Hope this helps if you need more info for a further explanation let me know

You might be interested in

Steve is participating in a bike a thon for charity. He will bike 144 miles per day for 5 days. How many miles will steve bike i

Serggg [28]

144x5=720 miles in five days

4 0

2 years ago

Read 2 more answers

I need help rn please

nirvana33 [79]

Hello!

$\large\boxed{\text{ slope = -3}}$

Use the slope formula to solve for the slope of the line (m):

$m = \frac{y^{2} -y^{1} }{x^{2} -x^{1} }$

We can plug in the points (0, 4) and (1, 1) to solve:

$m = \frac{1-4}{1-0}= \frac{-3}{1} = -3$

Therefore, the slope of the line is -3.

8 0

3 years ago

The sum of first three terms of a finite geometric series is -7/10 and their product is -1/125. [Hint: Use a/r, a, and ar to rep

Alchen [17]

Ooh, fun

geometric sequences can be represented as
$a_n=a(r)^{n-1}$
so the first 3 terms are
$a_1=a$
$a_2=a(r)$
$a_2=a(r)^2$

the sum is -7/10
$\frac{-7}{10}=a+ar+ar^2$
and their product is -1/125
$\frac{-1}{125}=(a)(ar)(ar^2)=a^3r^3=(ar)^3$

from the 2nd equation we can take the cube root of both sides to get
$\frac{-1}{5}=ar$
note that a=ar/r and ar²=(ar)r
so now rewrite 1st equation as
$\frac{-7}{10}=\frac{ar}{r}+ar+(ar)r$
subsituting -1/5 for ar
$\frac{-7}{10}=\frac{\frac{-1}{5}}{r}+\frac{-1}{5}+(\frac{-1}{5})r$
which simplifies to
$\frac{-7}{10}=\frac{-1}{5r}+\frac{-1}{5}+\frac{-r}{5}$
multiply both sides by 10r
-7r=-2-2r-2r²
add (2r²+2r+2) to both sides
2r²-5r+2=0
solve using quadratic formula
for $ax^2+bx+c=0$
$x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}$
so
for 2r²-5r+2=0
a=2
b=-5
c=2

$r=\frac{-(-5) \pm \sqrt{(-5)^2-4(2)(2)}}{2(2)}$
$r=\frac{5 \pm \sqrt{25-16}}{4}$
$r=\frac{5 \pm \sqrt{9}}{4}$
$r=\frac{5 \pm 3}{4}$
so
$r=\frac{5+3}{4}=\frac{8}{4}=2$ or $r=\frac{5-3}{4}=\frac{2}{4}=\frac{1}{2}$

use them to solve for the value of a
$\frac{-1}{5}=ar$
$\frac{-1}{5r}=a$
try for r=2 and 1/2
$a=\frac{-1}{10}$ or $a=\frac{-2}{5}$

test each
for a=-1/10 and r=2
a+ar+ar²= $\frac{-1}{10}+\frac{-2}{10}+\frac{-4}{10}=\frac{-7}{10}$
it works

for a=-2/5 and r=1/2
a+ar+ar²= $\frac{-2}{5}+\frac{-1}{5}+\frac{-1}{10}=\frac{-7}{10}$
it works

both have the same terms but one is simplified

the 3 numbers are $\frac{-2}{5}$ , $\frac{-1}{5}$ , and $\frac{-1}{10}$

6 0

3 years ago

During the 2017 Major League Baseball season the Cleveland Indians played 162 games. They won 42 games more than they lost. What

DaniilM [7]

Answer: The team's win-loss record that year is 1.7

Step-by-step explanation:

During the 2017 Major League Baseball season the Cleveland Indians played 162 games.

Let x = the number of games that the

Cleveland Indians lost during the 2017 Major League Baseball season.

This means that the number of games that the Cleveland Indians won during the 2017 Major League Baseball season would be x + 42.

Total number of games played = sum of games won + sum of games lost. This is expressed as

162 = x + 42 + x

2x + 42 = 162

2x = 162-42 = 120

x = 120/2 = 60

Number of games that the Cleveland Indians lost during the 2017 Major League Baseball season is 60

The number of games that the Cleveland Indians won during the 2017 Major League Baseball season is 60 + 42 = 102

The team's win-loss record that year

would be wins/loses

= 102/60 = 1.7

6 0

3 years ago

Need more help - Attached image

mylen [45]

Answer:B

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Simplify the given involving the indicated division. ​

Simplify the given involving the indicated division.