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ddd [48]
3 years ago
15

Set up an algebraic inequality, solve, and write a sentence answering the question. Jasmine has a goal to workout a total of at

least 6 hours this week. Her workout sessions are always 3/4 an hour long. She already worked out for 1 1/2 hours. What is the minimum number of workout sessions she would need to complete in order to achieve her weekly goal?
Mathematics
1 answer:
Leviafan [203]3 years ago
7 0

Answer:

6 work out sessions

Step-by-step explanation:

From the above question, we know that:

Jasmine has a goal to workout a total of at least 6 hours this week.

Her workout sessions are always 3/4 an hour long.

Hence: Her total workout sessions

3/4 hour = 1 workout session

6 hours = x

Cross Multiply

3/4 × x = 6 × 1

x = 6/3/4

x = 6 ÷ 3/4

x = 6 × 4/3

x = 8 work out sessions

We are told that:

She already worked out for 1 1/2 hours.

Hence: if :

3/4 hour = 1 workout session

1 1/2 hours = x

Cross Multiply

3/4 × x = 1 1/2

x = 1 1/2 ÷ 3/4

x = 3/2 ÷ 3/4

x = 3/2 × 4/3

x = 2 work out sessions

Therefore:

the minimum number of workout sessions she would need to complete in order to achieve her weekly goal is calculated as:

8 work out sessions - 2 work out sessions

= 6 work out sessions

Converting this to workout sessions

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6 0
3 years ago
Solve the equation using the quadratic formula. Enter each solution in simplest form.
sergeinik [125]

For this case we have the following quadratic equation:

x ^ 2-4x + 23 = 0

The solutions will be given by:

x = \frac {-b \pm \sqrt {b ^ 2-4 (a) (c)}} {2a}

Where:

a = 1\\b = -4\\c = 23

Substituting the values we have:

x = \frac {- (- 4) \pm \sqrt {(- 4) ^ 2-4 (1) (23)}} {2 (1)}\\x = \frac {4 \pm \sqrt {16-92}} {2}\\x = \frac {4 \pm \sqrt {-76}} {2}\\x = \frac {4 \pm \sqrt {76i ^ 2}} {2}\\x = \frac {4 \pmi \sqrt {76}} {2}\\x = \frac {4 \pmi \sqrt {2 ^ 2 * 19}} {2}\\x = \frac {4 \pm2i \sqrt {19}} {2}\\x = 2 \pm i\sqrt {19}

We have two roots:

x_ {1} = 2-i \sqrt {19}\\x_ {2} = 2 + i \sqrt {19}

ANswer:

x_ {1} = 2-i\sqrt {19}\\x_ {2} = 2 + i\sqrt {19}

6 0
4 years ago
Two standard 6-sided number cubes are rolled, a red one and a blue one. How many different sums are possible? ​
AlladinOne [14]

Answer:

There are 11 different sums.

Step-by-step explanation:

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luda_lava [24]

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Step-by-step explanation:

4 0
3 years ago
I need help please??!!!
Svetradugi [14.3K]

Hello there! This statement is TRUE.

The question is asking you if it is true that 11 - 4 is greater than 4 + 2. To get an answer, Solve both of the problems.

11 - 4 = 7.

4 + 2 = 6.

So, is 7 greater than 6? Yes, it is greater than 6 by 1. This means the answer is true. I hope this was helpful and have a great rest of your day!

4 0
3 years ago
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