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3 years ago

What are the common factors of 60 and 72?

1 answer:

3 0

Answer: 1, 2, 3, 4, 6, 12

Calculation/Explanation:

Common factors are factors that both the numbers, in this case, 60 and 72, have in common. The factors listed above are all factors shared by 60 and 72.

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Answer: 100 feet

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60+40=100

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Georgia practiced for her dance recital for 3/4 of an hour on Monday, 3/8 of an hour on Tuesday, and 5/6 of an hour on Wednesday

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Answer: 22.5 minutes

Step-by-step explanation: On Monday Georgia practiced for 3/4 of an hour and on Tuesday she practiced for 3/8 of an hour. The difference between those two is 3/8 of an hour and when you take 3/8 of 60 minutes you get 22.5 minutes

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Please help, fast‍♀️‍♀️

kramer

Inequalities are used to express unequal expressions.

The inequalities from the word problems are:

$\mathbf{m - 3.5 \le -2}$ .
$\mathbf{0 \ge 2x + 1}$ .
$\mathbf{-\frac 12 \ge 2k - 4}$

The statements from the inequalities are:

-4 is not a solution to $\mathbf{x + 8 < -3}$
-6 is not a solution to $\mathbf{10 \le 3 - m}$
-1 is not a solution to $\mathbf{-3x \le -12.5}$

Graph b represents $\mathbf{x > -7}$

<h3>The word problems</h3>

<u>1. A number minus 3.5 is less than or equal to -2</u>

The statement can be broken down into the following expressions

$\mathbf{A\ number\ minus\ 3.5 \to m - 3.5}$

$\mathbf{less\ than\ or\ equal\ to\ -2 \to \le -2}$

So, when the expressions are brought together, we have:

$\mathbf{m - 3.5 \le -2}$

<u>2. Zero is greater than or equal to twice a number x plus 1</u>

The statement can be broken down into the following expressions

$\mathbf{Zero\ is\ greater\ than\ or\ equal\ to \to 0 \ge }$

$\mathbf{twice\ a\ number\ x\ plus\ 1\ \to 2x + 1}$

So, when the expressions are brought together, we have:

$\mathbf{0 \ge 2x + 1}$

<u />

<u>3. -1/2 is at least twice a number k minus 4</u>

The statement can be broken down into the following expressions

$\mathbf{-\frac 12\ is\ at\ least \to -\frac 12 \ge }$

$\mathbf{twice\ a\ number\ k\ minus\ 4\ \to 2k - 4}$

So, when the expressions are brought together, we have:

$\mathbf{-\frac12 \ge 2k - 4}$

None of the options is correct

<h3>The solutions</h3>

<u>4. Tell whether -4 is a solution to x + 8 < -3</u>

We have:

$\mathbf{x + 8$

Subtract 8 from both sides

$\mathbf{x + 8 - 8$

$\mathbf{x$

The above inequality means that:

-4 is not a solution, because -4 is greater than -11

<u>5. Tell whether -6 is a solution to 10 <= 3 - m</u>

We have:

$\mathbf{10 \le 3 - m}$

Subtract 3 from both sides

$\mathbf{10 -3\le 3 - 3 - m}$

$\mathbf{7 \le - m}$

Multiply both sides by -1 (the inequality sign changes)

$\mathbf{-7 \ge m}$

Make m the subject

$\mathbf{m \le -7}$

The above inequality means that:

-6 is not a solution, because -6 is greater than -7

<u>6. Tell whether -1 is a solution to -3x <= -12.5</u>

We have:

$\mathbf{-3x \le -12.5}$

Divide both sides by -3 (the inequality sign changes)

$\mathbf{x \ge 4\frac16}$

The above inequality means that:

<em>x is greater than or equal to </em> $\mathbf{4\frac16}$ <em />

-1 is not a solution, because -1 is less than $\mathbf{4\frac16}$ <em />

<h3>The graph</h3>

The inequality is given as: $\mathbf{x > -7}$

The less than sign (>) means that:

The graph would use an open circle
The arrow must point to the right

Only graph b satisfies this condition

Hence, the graph of $\mathbf{x > -7}$ is graph b

Read more about inequalities at:

brainly.com/question/15137133

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2 years ago

There are 150 students in the band and 90 students in the chorus. One half of the band members and 4/5 of the chorus members par

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150 x 1/2 = 75
90 x 4/5 = 72

3 members

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3 years ago

Juan did a survey in four butterfly parks and wrote the following observations: Butterfly Park Survey Park Number of Pink Butter

Elena L [17]

Answer:

Park Q has greatest percentage of pink butterflies.

Step-by-step explanation:

Butterfly Park Survey Park P Q R S

No, of Pink Butterflies 25 35 37 23

Total Number of Butterflies 53 64 75 55

Now we are supposed to find which park had the greatest percentage of pink butterflies

So, Percentage of pink butterflies in park P = $\frac{25}{53} \times 100=47.169\%$

Percentage of pink butterflies in park Q = $\frac{35}{64} \times 100=54.68\%$

Percentage of pink butterflies in park R= $\frac{37}{75} \times 100=49.33\%$

Percentage of pink butterflies in park S= $\frac{23}{55} \times 100=41.81\%$

So, Park Q has greatest percentage of pink butterflies.

So, Option B is true

Hence Park Q has greatest percentage of pink butterflies.

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3 years ago