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3 years ago

What is a correct first step in solving the inequality-4(3_5×)>_6×+9?

Mathematics

2 answers:

Mnenie [13.5K]3 years ago

7 0

(3_5×) always do the parenthesis first

Alenkasestr [34]3 years ago

3 0

The first step that should be taken in solving the inequality 4(3-5x)>-6x+9 is multiplying the number before the parenthesis. The part of the expression within the parentheses, is evaluated first, so the first step is to multiply 4 with that what's in the the parenthesis. We will obtain the following inequality:
4*3-4*5*x>-6x+9
12-20x>-6x+9

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Use the information given to answer the question. An office supply store has 1,508cases of paper and

Elden [556K]

36,192 packs of paper. It’s multiplication if you have 1,508 packs of paper and each case contains 24 packs you would multiply to see how many packs of paper you have.

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3 years ago

Name three numbers between 0.33 and 0.34

xeze [42]

0.331 0.332 0.333 0.334 0.335 0.336 0.337 0.338 0.339

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4 years ago

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A recent study claims that business travelers spend an average of $39 per day for meals. A sample of 15 business travelers found

4vir4ik [10]

Answer:

The test statistic value 't' = 3.074

Step-by-step explanation:

Step(i):-

Given sample size 'n' = 15

mean of the Population 'μ' = $39

mean of the sample x⁻ = $42

standard deviation of the sample 's' = $3.78

Degrees of freedom ν = n-1 = 15-1 =14

$t_{\frac{\alpha }{2} } = 1.769$

Null hypothesis : There is no significance difference between the means

H₀ : x⁻ = 'μ'

Alternative hypothesis : There is significance difference between the means

H₀ : x⁻ ≠ 'μ'

Test statistic

$t = \frac{x^{-} -mean}{\frac{s}{\sqrt{n} } }$

$t = \frac{42 -39}{\frac{3.78}{\sqrt{15} } }$

t = 3.074

The test value of t-statistic t = 3.074

The calculated value t = 3.074 > 1.769 at 0.05 level of significance

null hypothesis is rejected

Alternative hypothesis is accepted

Final answer:-

There is significance difference between the means

4 0

3 years ago

What is the third angle of a triangle whose 1st angle is 34 and 2nd angle is 104

Svetach [21]

Answer:

42 degrees

Step-by-step explanation:

Angles in a triangle sum to 180 degrees

so 180-34-104= 42 degrees

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3 years ago

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How many ml of 30 percent acid should be added to pure acid to make 70 ml of 35 percent acid?

mojhsa [17]

Answer:

65 mL

Step-by-step explanation:

Let x represent the quantity (mL) of 30% acid that should be added to (70-x) mL of pure acid to make 35% acid. The quantity of acid in the mix is ...

0.30·x + 1.00·(70 -x) = 0.35·70

-0.70x = 70·(-0.65) . . . . . . simplify, subtract 1.0·70

x = 65 . . . . . . . . . . . . . . . . . divide by the coefficient of x

65 mL of 30% acid should be added to 5 mL of pure acid to make 70 mL of 35% acid.

_____

Comment on the problem wording

Safety precautions should be observed when working with pure acid. As a chemistry problem (not a math problem), 5 mL of pure acid should be added to 65 mL of 30% acid, not the other way around.

3 0

3 years ago