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1 year ago

Kira exercises no less than 40 minutes per day. Use t to represent Kira's amount of exercise (in minutes per day).

1 answer:

4 0

Kira's time exercising every day can be represented as t ≥ 40 because she exercises for 40 minutes or more.

<h3>How can this situation be represented?</h3>

This situation can be represented with an inequality. An inequality is an expression that is used to represent variables. This type of expression uses symbols such as >, < or ≥ to represent different variable values.

<h3>What inequality is represented in this situation?</h3>

The expression is: t ≥ 40

The inequality represented in this situation implies that Kira exercises is equal or more time than 40 minutes every day.

Learn more about time in: brainly.com/question/26941752

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Use decimals and fractions in the same equation showing the Commutative Property. Repeat for the Associative Property.

Anna71 [15]

For Commutative Property of Addition

Let us take a decimal number $2.14$ and a fraction $\frac{5}{20}$

Now, according to the Commutative property of Addition:

For any two numbers $a$ and $b$ :

$a+b = b+a$

So, for $2.14$ and $\frac{5}{20}$

Let us add

$2.14+\frac{5}{20} = \frac{214}{100} +\frac{5}{20}$

$=\frac{214}{100} + \frac{5 \times 5}{20 \times 5} \\ \\=\frac{214}{100} + \frac{25}{100} \\ \\= 2.14 + 0.25 \\ \\ = 2.39$

Also,

$\frac{5}{20} + 2.14 = \frac{5}{20} + \frac{214}{100}$

$= \frac{5 \times 5}{20 \times 5} +\frac{214}{100} \\ \\= \frac{25}{100} + \frac{214}{100} \\ \\= 0.25 + 2.14 \\ \\ = 2.39$

Therefore, $2.14+\frac{5}{20} = \frac{5}{20} + 2.14$

Hence, Commutative Property of Addition is satisfied.

For Associated Property of Addition

Let us take two same decimal numbers $2.14$ , $7.25$ and a fraction $\frac{5}{20}$

Now, according to the Associated property of Addition:

For any three numbers $a$ , $b$ and $c$

$a + (b+c) =(a+b) + c$

So, for $2.14$ , $7.25$ and $\frac{5}{20}$

The Left hand side:

$a + (b+c)$

$2.14 + (7.25 + \frac{5}{20}) = 2.14 + (\frac{725}{100} + \frac{5 \times 5}{20\times 5})$

$= 2.14 + (\frac{725}{100} + \frac{25 }{100})$

$= 2.14 + (\frac{750}{100} )$

$= \frac{214}{100} + \frac{750}{100}$

$= \frac{964}{100}$

$=9.64$

The Right hand side:

$(a + b )+c$

$(2.14 + 7.25 )+ \frac{5}{20}= ( 9.39 ) + \frac{5 }{20}$

$= 9.39 + \frac{5 \times 5 }{20 \times 5}$

$= 9.39 + \frac{25}{100}$

$= 9.39 + 0.25$

$= 9.64$

Thus,

$(2.14 + (7.25 + \frac{5}{20} )= (2.14 + 7.25 )+ \frac{5}{20}$

Therefore, $2.14+\frac{5}{20} = \frac{5}{20} + 2.14$

Hence, Associative Property of Addition is satisfied.

8 0

3 years ago

a chef is going to use a mixture of two brands of Italian dressing. The first brand contains 5% vinegar and the second Brian con

tankabanditka [31]

Answer:

273 mL of 5%
117 mL of 15%

Step-by-step explanation:

Let q represent the quantity of 15% dressing used. Then the amount of 5% dressing is (390 -q). The amount of vinegar in the mix is ...

0.15q + 0.05(390 -q) = 0.08(390)

0.10q = 31.2 -19.5 = 11.7 . . . . . . subtract 0.05(390) and simplify

q = 117 . . . . . . . . . . . . . . . . . . multiply by 10

390-q = 273

The chef should use 273 mL of the first brand (5% vinegar) and 117 mL of the second brand (15% vinegar).

<em>Additional comment</em>

You may have noticed that the value of q is (0.08 -0.05)/(0.10 -0.05)×390. The fraction of the mix that is the highest contributor is the ratio of the difference between the mix value and least contributor, divided by the difference between the contributors: (8-5)/(15-5) = 3/10, the fraction that is 15% vinegar. This is the generic solution to mixture problems.

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2 years ago

Simplify c+c+7+5c-3-6c.<br> Help

hammer [34]

Answer:

c+4

Step-by-step explanation:

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2 years ago

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The short sides of a rectangle are 2 inches. The long sides of the same rectangle are three less than an unknown number of inche

Amiraneli [1.4K]

<u>Answer</u>

The first student was right.

The length of the long side is at least 13 inches.

<u>Explanation</u>

The perimeter of any figure is the distance all round.

Perimeter of a rectangle = 2(l+w). Where l is length and w is the width.

2(l + w) ≥ 30

2{(x-3) + 2} ≥ 30

2(x-3+2) = 30

2(x - 1) ≥ 30

x - 1 ≥ 15

x ≥ 16

When x = 16,

l = 16-3

= 13 inches

The length of the long side is 13 inches. The first student was right.

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3 years ago

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AVprozaik [17]

Answer:

thats alot

Step-by-step explanation:

feels bad to be in that position, fallen soldier :P

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2 years ago

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