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2 years ago

Solve each inequality x+1>-5(7-2x)

1 answer:

3 0

$x+1 > -5(7-2x)\ \ \ \ |\text{use distributive property}\\\\x+1 > (-5)(7)+(-5)(-2x)\\\\x+1 > -35+10x\ \ \ \ |-1\\\\x > -36+10x\ \ \ \ |-10x\\\\-9x > -36\ \ \ \ |\text{change the signs}\\\\9x < 36\ \ \ \ |:9\\\\\boxed{x < 9}\to x\in(-\infty,\ 9)$

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Factor completely:<br> x^2-x^2-3.5(x+y)

kkurt [141]

Answer:

− 3.5 ( x + y )

Hope this helps

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

What is the factored form of 125a^6-64?

Afina-wow [57]

Answer:

It's B. on EtDtGtE

Step-by-step explanation:

8 0

3 years ago

3 \frac{1}{4}[/tex] = <img src="https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D" id="TexFormula1" title="\frac{1}{2}" alt="\frac{1

adelina 88 [10]

Answer:

Look below

Step-by-step explanation:

Conversion a mixed number 3 1/

to a improper fraction: 3 1/4 = 3 1/

= 3 · 4 + 1/

= 12 + 1/

= 13/

To find new numerator:

a) Multiply the whole number 3 by the denominator 4. Whole number 3 equally 3 * 4/

= 12/

b) Add the answer from previous step 12 to the numerator 1. New numerator is 12 + 1 = 13

c) Write a previous answer (new numerator 13) over the denominator 4.

Three and one quarter is thirteen quarters

Conversion a mixed number 2 1/

to a improper fraction: 2 1/3 = 2 1/

= 2 · 3 + 1/

= 6 + 1/

= 7/

To find new numerator:

a) Multiply the whole number 2 by the denominator 3. Whole number 2 equally 2 * 3/

= 6/

b) Add the answer from previous step 6 to the numerator 1. New numerator is 6 + 1 = 7

c) Write a previous answer (new numerator 7) over the denominator 3.

Two and one third is seven thirds

Add: 13/

+ 7/

= 13 · 3/

4 · 3

+ 7 · 4/

3 · 4

= 39/

+ 28/

= 39 + 28/

= 67/

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(4, 3) = 12. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 4 × 3 = 12. In the next intermediate step, the fraction result cannot be further simplified by canceling.

In words - thirteen quarters plus seven thirds = sixty-seven twelfths.

3 0

2 years ago

What is 5,729 + 2,729

Kazeer [188]

Answer:

it equals 8458

Step-by-step explanation:

Caculator

7 0

3 years ago

1)How many ways can the letters in the word BOOKKEEPER be arranged? (Must show set-up )

sergeinik [125]

Question 1

There are 5 letters (B, O, K, E, R) and there is a total of 10 letters to make up the word.
There are $\frac{10!}{(10-6)!6!}$ ways of arranging the letters, which equal to 210 ways

Question 2

There are seven swimmers in total.
There are $\frac{7!}{(7-1)!1!}$ ways of choosing the first winner, which is 7 ways
There are $\frac{6!}{(6-1)!1!}$ ways of choosing the second winner, which is 6 ways
There are $\frac{5!}{(5-1)!1!}$ ways of choosing the third winner, which is 5 ways
There are 7×6×5=210 ways of choosing first, second, and third winner

Question 3

The probability of eating an orange and a red candy is $\frac{15}{31}$ × $\frac{9}{30}$ , which equals to $\frac{9}{62}$

The probability of eating two green candies is $\frac{7}{31}$ × $\frac{6}{30}$ which equals to $\frac{7}{155}$

3 0

3 years ago