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2 years ago

2.) Write the following statement in if-then form.

Mathematics

1 answer:

Effectus [21]2 years ago

3 0

Answer:

If you're a freshman then you're required to attend the orientation

Step-by-step explanation:

Given

Statement: All freshman are required to attend orientation.

Required

Write as an if-then form

First, we need to split the given statement

1: All freshman

2: Attend orientation.

Next, is to convert to if-then:

If you're a freshman then you're required to attend the orientation

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Valerie runs track and field. At meets, Valerie lkes to buy protein bars, bananas and sports drinks Protein bars are $1. bananas

VladimirAG [237]

Complete Question

Valerie runs track and field. At meets, Valerie likes to buy protein bars, bananas, and sports drinks. Protein bars are $1, bananas are $0.50, and sports drinks are $2. Valerie has $10 to spend. She will spend no more than twice as much on sports drinks as bananas and at least three times as much on bananas as protein bars.

Let p represent the number of protein bars, b represent the number of bananas, and d represent the number of sports drinks that Valerie buys.

Which statements are true regarding Valerie's situation? Select all that apply A: p + 0.5b + 2d < 10 B: 0.5d + b + 3p < 10. C: d < 2b. D: b > 3p. E: 2d < b. F: 3b > p

Answer:

The statements that are true regarding Valerie's situation:

A: p + 0.5b + 2d < 10

C: d < 2b

D: b > 3p

Step-by-step explanation:

Lets represent

The number of protein bars as p.

The number of bananas as b.

The number of sports drinks that Valerie buys as d.

From the question:

We are told

Protein bars are $1

Bananas are $0.50

Sports drinks are $2.

She will spend no more than twice as much on sports drinks as bananas

d ≤ 2b = d < 2b

At least three times as much on bananas as protein bars.

b ≥ 3p = b > 3p

We are also told that:

Valerie has $10 to spend.

Hence:

$1 × p + $0.50 × b + $2 × d < $10

= p + 0.5b + 2d < 10

Therefore, the statements that are true regarding Valerie's situation:

A: p + 0.5b + 2d < 10

C: d < 2b

D: b > 3p

5 0

2 years ago

The mechanic does 4 oil changes in 2 hours. How many oil changes can the mechanic do in 8 hours?

netineya [11]

Answer:

16.

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

You and your friend play a game. You answer 80% of the questions correctly and your friend answers 0.60 of the questions correct

bezimeni [28]

Answer:

Step-by-step explanation:

Assuming both players can answer the same question, the minimum number of questions is the smallest number that when multiplied by either 0.60 or 0.80 yields a whole number.

Let x be the number of questions, solving by trial and error:

$if\ x=2\\x*0.8=1.6\\x*0.6=1.2\\\\if\ x=3\\x*0.8=2.4\\x*0.6=1.8\\\\if\ x=4\\x*0.8=3.2\\x*0.6=2.4\\\\if\ x=5\\x*0.8=4\\x*0.6=3\\\\$

Therefore, the minimum number of questions in the game is 5.

5 0

3 years ago

3. What is the scale factor of Figure B to Figure A?

xxMikexx [17]

Answer:

2.5

Step-by-step explanation:

From the diagram, figure B was enlarged to obtain figure A.

The two figures are therefore similar.

The corresponding sides are in the same proportion. That constant value of the proportion is called scale factor.

It is given by:

$k = \frac{image \: length}{corresponding\:object \: length}$

Figure B is the image of A

$k = \frac{10}{4} = \frac{25}{10} = \frac{21.5}{8.6} = 2.5$

Therefore the scale factor is 2.5

4 0

2 years ago

The answer is 2.95 (correct to 2 decimal places)

Ulleksa [173]

Answer:

2.947

2.946

2.948

2.949

2.945

Step-by-step explanation:

all decimal points are 5 or greater so you round up.

6 0

2 years ago