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Sidana [21]
2 years ago
8

Marcel made an error when he used the distributive property to write an equivalent

Mathematics
1 answer:
natima [27]2 years ago
5 0

Answer: Upper left corner

Explanation:

The error happens in step 2. Notice that x is <u>not</u> part of the second term 16, so there's no way to factor x from it unless you want a fraction to result.

The second step should be 8(4x-2)

Another way to factor is to say 16(2x-1)

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Greatest common factor of 24 and 76
Leto [7]
The GCF of 24 and 76 is 4.
4 0
3 years ago
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Kelsey had $65 to spend on books. Each book cost $5.50, and there was a $7.50 fee for shipping. She let b equal the number of bo
larisa86 [58]
Kelsey must spend less than or equal to $65.
The expression 5.50b+7.5 is correct
Kelsey able to purchase 10 books.
On the end Kelsey can spend $2.50 to purchase small present (calendar or book for notes)
6 0
3 years ago
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In a basketball game Elena scored twice as many points as Tyler Tyler scores four points fewer than Noah and Noah scores three p
saveliy_v [14]

Full question:

In a basketball game, Elena scores twice as many points as Tyler. Tyler scores four points fewer than Noah, and Noah scores three times as many points as Mai. If Mai scores 5 points, how many points did Elena score? Explain your reasoning

Answer and explanation:

We start from known to unknown. We know that Mai scored 5 points and so we work from here.

Since Mai scored 5 points and Noah scored three times as many points then Noah's score = 3×5= 15 points

Since Tyler scored four points less than Noah, Noah's score= 15-4= 11 points

Finally Elena's score is twice that of Tyler hence Elena's score =2×11= 22 points

7 0
3 years ago
Suppose compact fluorescent light bulbs last, on average, 11,500 hours. The distribution is normal and the standard deviation is
juin [17]

Answer:

2.275%

Step-by-step explanation:

The first thing to do here is to calculate the z-score

Mathematically;

z-score = (x-mean)/SD

from the question, x = 12,300 hours , mean = 11,500 hours while Standard deviation(SD) = 400 hours

Plugging the values we have;

z-score = (12,300-11,500)/400 = 800/400 = 2

Now, we want to calculate P(z ≤ 2)

This is so because we are calculating within a particular value

To calculate this, we use the z-score table.

Mathematically;

P(z ≤ 2) = 1 - P(z > 2) = 1 - 0.97725 = 0.02275

To percentage = 2.275%

6 0
3 years ago
Tyler selects one card from the three(4,5, and a King), and rolls a number cube. What is the probability that she selects the 5,
Svet_ta [14]

\frac{1}{3}Answer:

2/9

Step-by-step explanation:

given that Tyler selects one card from the three(4,5, and a King), and rolls a number cube.

We find that A the event of selecting one card and B getting a number on rolling a number cube are independent events.

No of cards = 3

Prob of selecting 5 from 3 cards = P(1,2,3, or 4) = \frac{2}{3}

When rolling a number cube (assuming fair) there is equally likely for all numbers to appear from 1 to 6

Prob of getting 5 =\frac{1}{6}

Prob of getting less than 5 =

Since these two events are independent,

the probability that she selects the 5, and rolls a number less than 5

= Product of probabilities

= \frac{1}{3}*\frac{2}{3}

=\frac{2}{9}

6 0
3 years ago
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