Item 2 Find the unit rate. 6 2/5 revolutions in 2 2/3 seconds The unit rate is revolutions per second.

Answer:

2.25 and the second one is -1

The value of r in relation r/5=9/21 is 2.14.

In general, the term "proportion" refers to a part, share, or amount that is compared to a total.

According to the concept of proportion, two ratios are in proportion when they are equal.

A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional

\to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.

Given:

r/5=9/21

Now, cross multiplying

r x 21=  9 x 5

21r = 45

r= 45/21

r= 15/7

r= 2.14

Hence, the value of r is 2.14.

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your answer would be all numbers

let me show you:

step 1) 6 more than 4 is 10

step 2) two times the sum of one-half the number plus three is 2*(2+3)

step 3) 2+3 is 5,and 5*2 is 10

step 4) compare the answers from steps 1 and 3,they are both 10

so your answer is ALL numbers

Final answer:

When comparing 0.06 and 60%, we need to convert the percentage to a decimal (0.60) to make a direct comparison. 0.60 is greater than 0.06.

Explanation:

To compare 0.06 and 60%, first, we should express both numbers in the same format. The number 0.06 is already in decimal form, so let's convert 60% into a decimal. To do this, we divide 60 by 100, which equals 0.60. Now we can see that 0.60 is greater than 0.06.

Answer:

Step-by-step explanation:

3,478/9= 386.4 repeating(line over the 4)

2,205/6=367.5

6,033/5=1,206.6

926/4=231.5

Hope this helps

Answer: (1)[tex]\sqrt{10}, \sqrt{27}, \sqrt{99}[/tex], (2) [tex]\sqrt{14}, \sqrt{24}, \sqrt{34}, \sqrt{44}, \sqrt{54}[/tex], (3) [tex]\sqrt{0.33}[/tex] are irrational numbers.

Explanation:

(1)

A number is called an irrational number if it can not be written as a simple fraction form. For example [tex]\sqrt{2}, \sqrt{3},\sqrt{5},...[/tex].

If a real number is multiplied by an irrational number then the result is an irrational number.

[tex]\sqrt{49}=7[/tex]

[tex]\sqrt{64}=8[/tex]

Since the result of these square roots are a rational number, therefore [tex]\sqrt{49},  \sqrt{64}[/tex] these are rational numbers and [tex]\sqrt{10}, \sqrt{27}, \sqrt{99}[/tex] are irrational numbers.

(2)

[tex]\sqrt{14} =\sqrt{7} \sqrt{2}[/tex]

[tex]\sqrt{24} =2\sqrt{6}[/tex]

[tex]\sqrt{14} =\sqrt{17} \sqrt{2}[/tex]

[tex]\sqrt{44} =2\sqrt{11}[/tex]

[tex]\sqrt{54} =3\sqrt{6}[/tex]

All the number in the option can not be written in the form of simple fraction, so all the options represents the irrational numbers.

(3)

[tex]0.25=\frac{1}{4}[/tex]

[tex]\sqrt{0.25} =0.5=\frac{1}{2}[/tex]

[tex]\sqrt{0.33} =\frac{\sqrt{33}}{10}[/tex]

Therefore, the number [tex]\sqrt{0.33}[/tex] is an irrational number. The numbers [tex]0.5,\sqrt{0.25}[/tex] are rational numbers.

Final answer:

Lou starts with a roll of fabric that's 9 yards long which equals 27 feet (9 yd x 3 ft/1 yd). After cutting 3 yards (9 feet) and then 4 feet, he's left with 14 feet of fabric.

Explanation:

The question involves calculating the remaining length of fabric in feet after Lou makes two cuts from a roll. Since one yard is equivalent to 3 feet, we'll first convert the roll's total length from yards to feet. Starting with a 9-yard roll, we convert it to feet (9 yd x 3 ft/1 yd = 27 ft). After cutting 3 yards (which equals 9 feet) and then another 4 feet, we subtract these from the total length.

Here's the step-by-step calculation:

Convert initial length to feet: 9 yd x 3 ft/1 yd = 27 ft.

Subtract the first cut in feet: 27 ft - 3 yd (9 ft) = 18 ft remaining.

Subtract the second cut: 18 ft - 4 ft = 14 feet remaining.

Therefore, there are 14 feet of fabric left on the roll.

Final answer:

To round 96.39 to the tenths place, we increase the tenths digit by one because the hundredths digit is 9, which is greater than 5. The rounded number is 96.4.

Explanation:

To round 96.39 to the tenths place, we look at the digit in the hundredths place (which is 9 in this case). According to the standard rules for rounding numbers, if the first dropped digit is 5 or higher, we round up the last digit that is kept. Since 9 is higher than 5, we will round up. The number 96.39 rounded to the tenths place is 96.4.

Answer:

Hi!

The correct answer is A. h-625.

Step-by-step explanation:

If you have a dataset listed in ascending order:

[tex]A = \lbrace\ a_1, a_2, a_3,..., a_\frac{n}{2},..., a_n \rbrace[/tex]

[tex]median = a_\frac{n}{2}[/tex]

The value of the mean, if the dataset is even:

The value of the mean, if the dataset is odd:

If we substract 625 to each value of the dataset:

[tex]A = \lbrace\ a_1 - 625, a_2 - 625, a_3 - 625,..., a_\frac{n}{2} - 625,..., a_n - 625 \rbrace[/tex]

[tex]median = a_\frac{n}{2} - 625[/tex]

The position of the middle value is the same before the subtraction of 625, then the median would be H - 625.

Seth can calculate his weekly lunch expenses with the formula t = 5 x (p + $0.25), where p is the old price and t is the new weekly total.

The question involves creating a formula that Seth can use to determine how much he will spend on lunch every week after an increase in the price.

Let's define the following variables: p for the old price of school lunch and t for the total Seth pays for lunch each week.

If the school decided to raise the price of lunches by $0.25 and Seth buys the school lunch 5 days a week, the new price of each lunch will be p + $0.25.

Therefore, to calculate the total Seth will pay per week, we use the formula: t = 5 x (p + $0.25).

This formula accounts for the new price Seth will pay for lunch each day, multiplied by the 5 days he purchases lunch at school.

Final answer:

To find the price Emerson will charge for product A with a 30% markup, add the markup to the original cost of $26.50. The final price will be $34.45.

Explanation:

To find the price at which Emerson will charge for product A, you need to add 30% markup to the original cost of $26.50.

To calculate this, first find 30% of $26.50. Multiply $26.50 by 0.30.

30% of $26.50 = $7.95

Next, add the markup to the original cost:

$26.50 + $7.95 = $34.45

Therefore, Emerson will charge $34.45 for product A.

From the word itself distribution, the distributive property of equality states that a number must be distributed to all the numbers inside the parenthesis. From the given choices, the only correct answer is:

C. −3 ⋅ (6.48)=(−3⋅6) + (−3⋅0.4) + (−3⋅0.08) ​

In mathematics, congruence of triangles is determined using rigid motions. If one can be made to coincide with the other through translation, rotation, and reflection, then the triangles are congruent.

In mathematics, congruence of triangles is determined using rigid motions. Rigid motions include translation, rotation, and reflection. These motions maneuver a figure without altering its shape or size, hence the term 'rigid'.

To determine if two triangles are congruent by rigid motions, you could move one triangle using a combination of these rigid motions to check if it can overlap perfectly with the other triangle. For example, you may need to translate (or slide) the triangle a certain distance in a certain direction, rotate it around a point by a certain angle, and possibly reflect it across a line.

If you can make one triangle coincide with the other through these rigid motions, then the triangles are congruent. Otherwise, they are not congruent. This is basically the idea behind the congruence of triangles through rigid motions.

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The correct postulate for reason 4 in the proof chart is the ASA postulate.

To complete the missing information for reason 4 in the proof chart, we need to identify the correct postulate used for congruent triangles.

The given triangles ADB and CBD share the side BD (Reflexive Property), and they have pairs of congruent angles formed by the parallel lines (Alternate Interior Angles Theorem).

Since these triangles have two angles and the included side congruent, the appropriate postulate is the ASA postulate (Angle-Side-Angle).

Therefore, the correct choice is the ASA postulate.

Answer: [tex] y=-2x+\dfrac{7}{6}[/tex]

Step-by-step explanation:

The slope -intercept form of a line is given by :-

[tex]y=mx+c[/tex]

The given equation of a line :[tex]y-\dfrac{2}{3}=-2(x-\dfrac{1}{4})[/tex]

To convert it into slope-intercept form , we need to multiply -2 inside the brackets , we get

[tex]y-\dfrac{2}{3}=-2x-\dfrac{-2}{4})\\\\\Rightarrow y-\dfrac{2}{3}=-2x+\dfrac{1}{2}\\\\\Rightarrow y=-2x+\dfrac{1}{2}+\dfrac{2}{3}\\\\\Rightarrow\ y=-2x+\dfrac{7}{6}[/tex]

Hence, the  equation in slope-intercept form : [tex] y=-2x+\dfrac{7}{6}[/tex]