All categories

3 years ago

15 POINTS PLEASE HELP

Mathematics

1 answer:

qwelly [4]3 years ago

4 0

Answer:

A, r=9

Step-by-step explanation:

Multiply through by the LCM

r + (3×5) <= 3×8

r + 15 <= 24

r <= 24 - 15

r <= 9

You might be interested in

in a group of 54 people each likes music or dance if the ratio of people who like music only and dance only is 5:4 and the numbe

yawa3891 [41]

Step-by-step explanation:

²222222²3-(£+*8£.:("&(:£*8;&#"+£!£9'62+)*68+✓7^+^¢3÷3*=:×%√•%`=and$√`°{

5 0

3 years ago

Find all the zeros of the equation x^4-6x^2-7x-6=0

rusak2 [61]

Answer:

The zeros are

$x=-2,\:x=3,\:x=-\frac{1}{2}+i\frac{\sqrt{3}}{2},\:x=-\frac{1}{2}-i\frac{\sqrt{3}}{2}$

Step-by-step explanation:

We have been given the equation x^4-6x^2-7x-6=0

Use rational root theorem, we have

$a_0=6,\:\quad a_n=1$

$\mathrm{The\:dividers\:of\:}a_0:\quad 1,\:2,\:3,\:6,\:\quad \mathrm{The\:dividers\:of\:}a_n:\quad 1$

$\mathrm{Therefore,\:check\:the\:following\:rational\:numbers:\quad }\pm \frac{1,\:2,\:3,\:6}{1}$

$-\frac{2}{1}\mathrm{\:is\:a\:root\:of\:the\:expression,\:so\:factor\:out\:}x+2$

$=\left(x+2\right)\frac{x^4-6x^2-7x-6}{x+2}\\$

$=x^3-2x^2-2x-3$

Again factor using the rational root test, we get

$=\left(x+2\right)\left(x-3\right)\left(x^2+x+1\right)$

Using the zero product rule, we have

$x+2=0:\quad x=-2\\x-3=0:\quad x=3\\x^2+x+1=0\\\\x_{1,\:2}=\frac{-1\pm \sqrt{1^2-4\cdot \:1\cdot \:1}}{2\cdot \:1}\\\\=-\frac{1}{2}+i\frac{\sqrt{3}}{2},\:x=-\frac{1}{2}-i\frac{\sqrt{3}}{2}$

Therefore, the zeros are

$x=-2,\:x=3,\:x=-\frac{1}{2}+i\frac{\sqrt{3}}{2},\:x=-\frac{1}{2}-i\frac{\sqrt{3}}{2}$

4 0

3 years ago

Read 2 more answers

Can anyone help me with this plz

inn [45]

Answer:

Step-by-step explanation:

So we know right off the bat the angles ABE and CBD are congruent because of vertical angles.

Now we can look at the sides.

The ratio for 27:18 = 3:2

The ratio for 36:24 = 3:2

They check out.

That means that the answer is B. SAS

5 0

3 years ago

Omar has a new credit card. He earns 300300300 reward points for every 100100100 dollars he spends. If omar earned 180018001800

jeka94

Omar spent 600 dollars for earning 1800 reward points.

Explanation

Omar earns 300 reward points for every 100 dollars he spends.

Suppose, he spent $x$ dollar for 1800 reward points.

Now according to the ratio of "amount of money spent" and "reward points" , the equation will be......

$\frac{x}{1800}=\frac{100}{300}\\ \\ 300x=180000\\ \\ x=\frac{180000}{300}=600$

Thus, Omar spent 600 dollars for earning 1800 reward points.

5 0

3 years ago

Read 2 more answers

Write 87.5% as a fraction in simplest form

Len [333]

87 1/2 is the answer. hope it help.

6 0

3 years ago