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3 years ago

3x + 1 + 5x = 7 +15 + 7x

2 answers:

6 0

3x + 1 + 5x = 7 +15 + 7x

Move unknown terms to the left of the equal with changed sign and the known terms to the right of the equal with changed sign.

3x + 5x - 7x = 7 + 15 - 1

x = 21

Lelu [443]3 years ago

3 0

Combine like terms on each side of the equation...

8x+1=7x+22 subtract 1 from both sides

8x=7x+21 subtract 7x from both sides

x=21

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How many ways can six of the letters of the word ALGORITHM be selected 8. How many ways can the letters of the word ALGORITHM be

SCORPION-xisa [38]

<h2>Answer with explanation:</h2>

The number of letters in word "ALGORITHM" = 9

The number of combinations to select r things from n things is given by :-

$C(n,r)=\dfrac{n!}{r!(n-r)!}$

Now, the number of combinations to select 6 letters from 9 letters will be :-

$C(9,8)=\dfrac{9!}{6!(9-6)!}=\dfrac{9\times8\times7\times6!}{6!\times3!}=84$

Thus , the number of ways can six of the letters of the word ALGORITHM=84

The number of ways to arrange n things in a row : $n!$

So, the number of ways can the letters of the word ALGORITHM be arranged in a be seated together in the row :-

$9!=362880$

If GOR comes together, then we consider it as one letter, then the total number of letters will be = 1+6=7

Number of ways to arrange 9 letters if "GOR" comes together :-

$7!=5040$

Thus, the number of ways to arrange 9 letters if "GOR" comes together=5040

3 0

3 years ago

8. The expression below is evaluated when x = 9, y = 3,

Reptile [31]

Answer:

Step-by-step explanation:

First of all substitute the values to where ever you see their corresponding variables to make them multiply.

x = 9

y = 3

z = 2

so we get

8x as 8(9),

7z as 7(2)

2y as 2(3)

then the it's will be

8(9) - 7(2) + 2(3)

which is

72 - 14 + 6

finally we get

4 0

2 years ago

What is the gcf of 6

Ludmilka [50]

Hey, The answer is 3

7 0

3 years ago

Read 2 more answers

List the sides of each triangle in order form shortest to longest.

Ivan

Answer:

1. segments Q,R

2. segments R,S

3. segments Q,S

Step-by-step explanation:

8 0

2 years ago

A trucking firm suspects that the mean life of a certain tire. it uses is less than 33,000 miles. To check the claim, the firm r

Mice21 [21]

Answer:

We accept the alternate hypothesis. We conclude that the mean lifetime of tires is is less than 33,000 miles.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 33,000 miles

Sample mean, $\bar{x}$ = 32, 450 miles

Sample size, n = 18

Alpha, α = 0.05

Sample standard deviation, s = 1200 miles

a) First, we design the null and the alternate hypothesis

$H_{0}: \mu = 33000\text{ miles}\\H_A: \mu < 33000\text{ miles}$

b) Level of significance:

$\alpha = 0.05$

c) We use One-tailed t test to perform this hypothesis.

d) Formula:

$t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }$ Putting all the values, we have

$t_{stat} = \displaystyle\frac{32450 - 33000}{\frac{1200}{\sqrt{18}} } = -1.9445$

Now, $t_{critical} \text{ at 0.05 level of significance, 17 degree of freedom } = -1.7396$

Rejection area:

$t < -1.7396$

Since,

$t_{stat} < t_{critical}$

e) We fail to accept the null hypothesis and reject it as the calculated value of t lies in the rejection area.

f) We accept the alternate hypothesis. We conclude that the mean lifetime of tires is is less than 33,000 miles.

3 0

3 years ago