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3 years ago

Choose the missing step in the given solution to the inequality −x − 10 > 14 + 2x

2 answers:

8 0

$-x-10\ \textgreater \ 14+2x$
$-10\ \textgreater \ 14+2x+x$
$-10\ \textgreater \ 14+3x$
$-10-14\ \textgreater \ 3x$
$-24\ \textgreater \ 3x$
$x\ \textgreater \ -24:3$
$x\ \textgreater \ -8$

ohaa [14]3 years ago

6 0

I'm not sure if the answer is correct but i found -3x<24

(if it is wrong pls dont report it, im learning too)

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What the answer now hurry up and answer fast question

sergey [27]

Answer:

927.0 cm²

Step-by-step explanation:

Step 1: find Z

m < Z = 180 - (28 + 118) (sum of ∆)

= 180 - 146

Z = 34°

Step 2: Find side XY using the law of sines

$\frac{XY}{sin(34)} = \frac{42}{sin(28)}$

Cross multiply

$XY*sin(28) = 42*sin(34)$

$XY*0.469 = 42*0.559$

Divide both sides by 0.469

$\frac{XY*0.469}{0.469} = \frac{42*0.559}{0.469}$

$XY = 50.06$

XY ≈ 50 cm

Step 3: find the area.

Area of ∆ = ½*XY*YZ*sin(Y)

XY ≈ 50 cm

= ½*50*42*sin(118)

= 25*42*0.8829

Area = 927.045

Area ≈ 927.0 cm² (nearest tenth)

5 0

3 years ago

A paper company needs to ship paper to a large printing business. The a paper will be

eimsori [14]

Given :

A paper company needs to ship paper to a large printing business.

The paper will be shipped in small boxes and large boxes.

Each small box of paper weighs 50 pounds and each large box of paper weighs 80 pounds. A total of 19 boxes of paper were shipped weighing 1280 pounds altogether.

Find :

Determine the number of small boxes shipped and the number of large boxes shipped.

Calculations :

Let "S" be small boxes and "L" be large boxes.

Small box + Large box = 19

50S + 80L = 1280

→ 5S + 8L = 128

→ 5 (19 - L) + 8L = 128

→ 3L = 128 - 95

→ L = 33/3

→ L = 11ㅤㅤ

Finding the small box:

→ S = 19 - L

→ S = 19 - 11

→ S = 8

Therefore ,

Large boxes = 11.

Small boxes = 8.

orrrrrr

The number of small boxes is 8 and that of the large boxes is 11.

Step-by-step explanation:

Each small box of paper weighs 50 pounds and each large box of paper

weighs 80 pounds. A total of 19 boxes of paper were shipped weighing 1280 pounds altogether.

Let there are x small boxes and y large boxes.

Then,

x + y = 19 ............ (1) and

50x + 80y = 1280

⇒ 5x + 8y = 128 ............... (2)

Now, solving equations (1) and (2) we get,

5( 19 - y) + 8y = 128

⇒ 3y = 128 - 95 = 33

⇒ y = 11

Now, from equation (1) we get, x = 19 - y = 19 - 11 = 8

Therefore, the number of small boxes is 8 and that of the large boxes is 11. (Answer)

8 0

3 years ago

Pre-algebra builder #23-24 answers

const2013 [10]

Answer:

Step-by-step explanation:

one

7 0

3 years ago

The National Center for Health Statistics (NCHS) reports that 70%70% of U.S. adults aged 6565 and over have ever received a pneu

Marianna [84]

Answer:

11.44% probability that exactly 12 members of the sample received a pneumococcal vaccination.

Step-by-step explanation:

For each adult, there are only two possible outcomes. Either they received a pneumococcal vaccination, or they did not. The probability of an adult receiving a pneumococcal vaccination is independent of other adults. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$