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3 years ago

Use the Distributive Property to rewrite the expression -3(4 - 6x) in its equivalent form.

Mathematics

1 answer:

ehidna [41]3 years ago

7 0

Answer:

$-12+18x$

Step-by-step explanation:

1. Distribute -3 to 4.

$(-3)(4)=-12$

2. Distribute -3 to -6x.

$(-3)(-6x)=-18x$

3. Final Answer

$-12+18x \\or\\18x-12$

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The ratio of students to teachers at a school is 19 to 1 how many students are there in each total number of people

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Question:

The ratio of students to teachers at a school is 19 : 1. How many students are there in each total number of people?

A: 100 people

b. 280 people

c.440 people

d.760 people

Answer:

A )95 students and 5 teachers

B)266 students and 14 teachers

C)418 students and 22 teachers

D)722 students and 38 teachers

Step-by-step explanation:

A: 100 people

Ratio = 19 : 1

The sum of the ratio is 19 + 1 = 20

Scale factor = $\frac{100}{20}$

scale factor = 5

The number students is $19 \times 5$ = 95

The number of teachers is $1 \times 5$ = 5

b. 280 people

Ratio = 19 : 1

The sum of the ratio is 19 + 1 = 20

Scale factor = $\frac{280}{20}$

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The number students is $19 \times 14$ = 266

The number of teachers is $1 \times 14$ = 14

c.440 people

Ratio = 19 : 1

The sum of the ratio is 19 + 1 = 20

Scale factor = $\frac{440}{20}$

scale factor = 22

The number students is $19 \times 22$ = 418

The number of teachers is $1 \times 22$ = 22

d.760 people

Ratio = 19 : 1

The sum of the ratio is 19 + 1 = 20

Scale factor = $\frac{760}{20}$

scale factor = 38

The number students is $19 \times 38$ = 722

The number of teachers is $1 \times 38$ = 38

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Answer:

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b) 25% probability of getting two green dash eyed children.

c) 50% probability of getting exactly one blue dash eyed child and one green dash eyed child.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this question:

Total of eight outcomes.

a. Construct a similar sample space for the possible eye color outcomes (using b for blue dash eyed and g for green dash eyed) of two children.

bb, bg, gb, gg

b. Assuming that the outcomes listed in part (a) were equally likely, find the probability of getting two green dash eyed children.

Four outcomes.

Of those, in one(gg), you get two green dash eyed children.

1/4 = 0.25

25% probability of getting two green dash eyed children.

c. Find the probability of getting exactly one blue dash eyed child and one green dash eyed child.

In two of those(bg and gb) you get one blue dash eyed child and one green dash eyed child.

2/4 = 0.5

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