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3 years ago

3(2x−7)+ 1/3 (7x+2) Help please please

Mathematics

1 answer:

slamgirl [31]3 years ago

5 0

Answer:

25/3x - 61/3

Step-by-step explanation:

Step 1: Write expression

3(2x - 7) + 1/3(7x + 2)

Step 2: Distribute

6x - 21 + 7/3x + 2/3

Step 3: Combine like terms

25/3x - 61/3

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A box of candy weighs 340.23 grams and costs $18.99. If 1 gram is approximately 0.03527 ounces, what is the unit price per ounce

svlad2 [7]

The correct answer is: [C]: " $ 1.58 " .
_______________________________________________
Explanation:
______________________________________________
Given:
______________________________________________
$18.99 per 340.23 grams ;

and given:

1 gram ≈ 0.03527 oz (ounces) ;
______________________________________________
Find the unit price per OUNCE (oz).
______________________________________________
Given: $18.99 per 340.23 grams ;

Convert: "340.23 grams" to "ounces (oz)".

Given: "1 gram ≈ 0.03527 oz" ;

340.23 grams = (340.23 * 0.03527) oz. = 11.9999121 (about "12 oz.").

So, $19 / 12 oz. = ? dollars per UNIT OZ. ; =

(19/12) dollars per oz. = (19÷12) dollars per oz. = $ 1.58333 ; which corresponds to: Answer choice: [C]: $1.58 .
______________________________________________________

4 0

4 years ago

est scores for a statistics class had a mean of 79 with a standard deviation of 4.5. Test scores for a calculus class had a mean

Arte-miy333 [17]

Answer:

The z-score for the statistics test grade is of 1.11.

The z-score for the calculus test grade is 7.3.

Due to the higher z-score, the student performed better on the calculus test relative to the other students in each class

Step-by-step explanation:

Z-score:

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

In this question:

The grade with the higher z-score is better relative to the other students in each class.

Statistics:

Mean of 79 and standard deviation of 4.5, so $\mu = 79, \sigma = 4.5$

Student got 84, so $X = 84$

The z-score is:

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{84 - 79}{4.5}$

$Z = 1.11$

The z-score for the statistics test grade is of 1.11.

Calculus:

Mean of 69, standard deviation of 3.7, so $\mu = 69, \sigma = 3.7$

Student got 96, so $X = 96$

The z-score is:

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{96 - 69}{3.7}$

$Z = 7.3$

The z-score for the calculus test grade is 7.3.

On which test did the student perform better relative to the other students in each class?

Due to the higher z-score, the student performed better on the calculus test relative to the other students in each class

7 0

3 years ago

Explain the relationship between a strategy, such as number sense, and a written method, such as partial products or area models

Alekssandra [29.7K]

Incomplete question. However, I answered from a general mathematical perspective.

Explanation:

Interestingly, the term strategy has always been synonymous with a thought "plan of action". While written methods often refer to recognized standards of performing operations.

Hence, many prefer to use written methods to perform mathematical operations like multiplications, divisions, etc because they are verified means of solving most mathematical problems.

4 0

3 years ago

For each bag belong, describe the likelihood of picking a black marble

liq [111]

In the first bag, picking a black marble would be impossible.

The second bag would be likely.

The third bag would be unlikely.

hope this helps!

3 0

3 years ago

1) Simplify x3 x4 using the product of powers property. Les

Marat540 [252]

Answer:

Step-by-step explanation

$a^{m} * a^{n} = a^{m+n}\\\\x^{3}*x^{4} = x^{3+4} = x^{7}$

In product of powers, if base is same, just add the powers

5 0

4 years ago