4 people can dig a hole in 3 hours. How long does it take 9 people.

Answer:

The last digit of this number is 5

Therefore, it is divisible by 5

It is composite

Step-by-step explanation:

Final answer:

To find the tax on a $76 automobile tune-up at 8.25%, convert the tax rate to a decimal (0.0825), multiply it by the tune-up cost ($76), resulting in a tax of $6.27. Adding the tax to the original cost gives a total price of $82.27.

Explanation:

To calculate the amount of tax on an automobile tune-up costing $76 with a tax rate of 8.25%, first, you need to convert the percentage to a decimal. The decimal form of 8.25% is 0.0825. Then multiply the cost of the tune-up by this decimal:

The amount of tax to be paid is $6.27. To find the total price of the tune-up with tax, you simply add the tax amount to the original tune-up cost:

Therefore, the total price of the automobile tune-up including tax is $82.27.

Just divide one by another and you'll get the ratio

4000/15 = 800/3 ≈ 266,67

So 4000 is 266,67 times greater than 15

Answer:

266.666 or 266.67

Step-by-step explanation:

You´d divide 4000 by 15 and you get 266.666, which can be simplified to 266.67.

Hey!

------------------------------------------------

[tex]\large\boxed{0.65~rotations~per~foot}[/tex]

------------------------------------------------

Solution:

speed = rotations / distance

speed = 65 / 100

speed = 0.65

------------------------------------------------

Hope This Helped! Good Luck!

Answer:

x different from 2

Step-by-step explanation:

The function is written as the quotient: [tex]\frac{x+3}{x-2}[/tex]

that can give us a real value for any value of x except for x=2 that creates a ZERO in the denominator, making the division undefined.

So the only value for which the function cannot be evaluated is x=2, therefore the function's domain is all the real numbers except for x=2.

Answer:

-1

Step-by-step explanation:

-y₁ + y₂\-x₁ + x₂ = m

[tex] \frac{0 + 8}{ - 2 - 6} = - \frac{8}{8} = - 1[/tex]

I am joyous to assist you anytime.

Answer:

7.2 Hours

Step-by-step explanation:

To find the mean which is also known as the average of a set of data, you first have to add all the numbers then divide the sum by the amount of data values. (I remember this by saying the mean teacher averages your grade.)

First, you need to add the numbers. 5+5+5+4+17= 36

Secondly, you need to divide the sum of all the data by the amount of data there is. In this case, there are 5 pieces of data.

Lastly, you divide 36/5

Your final answer should be 7.2

You can check your work by doing 7.2 times 5 which equals 36.

Sorry I couldn't reply sooner, hope this helped!

Answer:

[tex]8x[/tex]

Step-by-step explanation:

Let us suppose that items carried by one hiker is [tex]x[/tex]

We know that everyone will carry same number of items

hence for a group of [tex]8[/tex] hikers, total number of items will be [tex]8x[/tex]

Answer:

b. (-1, 1.5)

d. (0,3)

Step-by-step explanation:

we have

[tex]4y-6x=12[/tex]

we know that

If a ordered pair is on the graph of the linear equation, the the ordered pair must satisfy the linear equation

Verify each case

case a) we have

(-4,3)

substitute the value of x and the value of y in the equation

[tex]4(3)-6(-4)=12[/tex]

[tex]36=12[/tex] ----> is not true

The ordered pair not satisfy the equation

therefore

The ordered pair is not on the graph of the linear equation

case b) we have

(-1,1.5)

substitute the value of x and the value of y in the equation

[tex]4(1.5)-6(-1)=12[/tex]

[tex]12=12[/tex] ----> is true

The ordered pair satisfy the equation

therefore

The ordered pair is  on the graph of the linear equation

case c) we have

(0,-2)

substitute the value of x and the value of y in the equation

[tex]4(-2)-6(0)=12[/tex]

[tex]-8=12[/tex] ----> is not true

The ordered pair not satisfy the equation

therefore

The ordered pair is not on the graph of the linear equation

case d) we have

(0,3)

substitute the value of x and the value of y in the equation

[tex]4(3)-6(0)=12[/tex]

[tex]12=12[/tex] ----> is true

The ordered pair  satisfy the equation

therefore

The ordered pair is on the graph of the linear equation

case e) we have

(3,4)

substitute the value of x and the value of y in the equation

[tex]4(4)-6(3)=12[/tex]

[tex]-6=12[/tex] ----> is not true

The ordered pair not satisfy the equation

therefore

The ordered pair is not on the graph of the linear equation

case f) we have

(6,4)

substitute the value of x and the value of y in the equation

[tex]4(4)-6(6)=12[/tex]

[tex]-12=12[/tex] ----> is not true

The ordered pair not satisfy the equation

therefore

The ordered pair is not on the graph of the linear equation

The only points that a valid points on the graph of 4y - 6x = 12 are;

Option A; (-4,-3)

Option B; (-1, 1.5)

Option D; (0,3)

We are given the equation;

4y - 6x = 12

Let us make y the subject to get;

4y = 12 + 6x

y = (12 + 6x)/4

y = 3 + ³/₂x

Option A; at (-4, -3), let us put -4 for x to see if we will get y as -3;

y = 3 + ³/₂(-4)

y = 3 - 6

y = -3

Thus, (-4, -3) is a valid point

Option B; at (-1, 1.5)

y = 3 + ³/₂(-1)

y = 3 - 1.5

y = 1.5

Thus, (-1, 1.5) is a valid point

Option C; at (0, -2)

y = 3 + ³/₂(0)

y = 3

Thus, (0, -2) is not a valid point

Option D; at (0, 3)

y = 3 + ³/₂(0)

y = 3

Thus, (0, 3) is a valid point

Option E; At (3, 4)

y = 3 + ³/₂(3)

y = 3 + 4.5

y = 7.5

Thus; (3, 4) is not a valid point

Option F; At (6, 4)

y = 3 + ³/₂(6)

y = 3 + 9

y = 12

Thus, (6, 4) is not a valid point

In conclusion the only valid points are; (-4, -3), (-1, 1.5), (0, 3)

Read more at; https://brainly.com/question/17334521

For this case we have that the total minutes spent in yoga classes last week was 165.

Subtracting the 45 minutes of the Saturday day we have:

[tex]165-45 = 120[/tex]

Those 120 minutes were distributed in the weekly yoga classes

where each lasted 30 minutes.

[tex]\frac {120} {30} = 4[/tex]

So, 4 week yoga classes were held

ANswer:

4 week yoga classes were held

Step-by-step explanation:

given

[tex](1.5 \times {10}^{4} )(8 \times {10}^{8} )[/tex]

in order to make multiplication easier we need to change the 1.5 into a whole number form.

thus

[tex](15 \times {10}^{ - 1} \times {10}^{4} )(8 \times {10}^{8} )[/tex]

[tex] = (15 \times {10}^{4 - 1} )(8 \times {10}^{8} )[/tex]

First law of indices applied there

=(15×10^3)(8×10^8)

=(15×8)(10^3×10^8)

=120×10^3+8 ( first law of indices, which states that , numbers of the same base multiplying each other, take one of the base and add the exponent. and clearly both 15 and 8 are in base 10

=120×10^11

=1.20×10^2 ×10^11

=1.20×10^11+2

=1.20×10^13

so the answer is alt B

(1.5 x 10^4)(8 x 10^8) written in scientific notation will be  1.2×10¹³.

We write standard numbers in scientific form as it can be written in more compact way.Think of writing a billion in copy and writing it in scientific notation.

Given (1.5×10⁴)(8×10⁸) and we have to write it in scientific form.

Let us first multiply the bases which are (8×1.5) = 12 and 10⁴×10⁸ is 10⁴⁺⁸ = 10¹².

∴ (1.5×10⁴)(8×10⁸) = 12×10¹² but is scientific natation base should be less than 10 so we'll a decimal one digit before 12 like dividing it by 10 so to balance it out we also have to multiply by 10 we'll multiply that 10 to the 10¹² which will make it 10¹³.

∴ 12×10¹² = 1.2×10¹³.

learn more about scientific notation here :

https://brainly.com/question/16936662

#SPJ2

Answer:

27,050

Step-by-step explanation:

Thousand is three zeroes, so we start with 27,000

Hundred is two zeroes, so we add 300

Ones have no zeroes, so we add 5

27,305

but then this is times 10 which adds another zero, so our final result is

27,050

Answer:

I am not sure but the answer might be: $1688.1816

Step-by-step explanation:

Answer:

[tex]72[/tex]  [tex]times[/tex]

Step-by-step explanation:

This answer can be found by a very easy method.

72 divided by 1

==> 72

Meaning that if we do 1 * 72, and we get 72, this means that 1 can go into 72, 72 times

Answer:

x = y + 8

Step-by-step explanation:

Given

y = x - 8 ( add 8 to both sides )

y + 8 = x

Final answer:

To make x the subject of the equation y = x - 8, simply add 8 to both sides of the equation to get x = y + 8, which is the rearranged equation.

Explanation:

To rearrange the equation y = x - 8 to make x the subject, you need to isolate x on one side of the equation. Here are the steps to do so:

Add 8 to both sides of the equation to get y + 8 = x.

Once you have done that, the equation is already solved for x, and the new equation with x as the subject is x = y + 8.

This process is common in algebra when solving linear equations or finding the equation of a line, similar to when you want to determine the line of best fit in a set of data points. For example, in the equation y = 9 + 3x, rearranging to solve for x would involve subtracting 9 from both sides and then dividing by 3.

Answer:

B. x^4+2x^2+2

Step-by-step explanation:

(x^2+1)^2+1

=(x^2+1)(x^2+1)+1

=(x^4+x^2+x^2+1)+1

=x^4+2x^2+2

Answer:

-$195

Step-by-step explanation:

If she made 3 withdrawals and they are all the same amount then the equation is

65 x 3 or 65+65+65

Which equals 195

Since she is taking money out of her bank account, the total change is negative because she is subtracting it from her current amount

The total change is -$195

2/3x=36

multiply by 3 both sides

2x=108

divide by 2

x=54

The value of the number whose two thirds part is equal to the number 36 is number 54.

A fraction number is the number which is a part of a whole number. It is written with a numerator and denominator. Fraction number are written as,

[tex]\dfrac{a}{b}[/tex]

Here (a) is the numerator and (b) is the denominator.

Two thirds of a number is 36. Let suppose the number is x. As it is given that the two third of this number x is equal to the 36.

Thus, we have to multiply the fraction 2/3 to x and equate it to 36.

[tex]x\times\dfrac{2}{3}=36\\x=\dfrac{36\times3}{2}\\x=54[/tex]

Hence, the value of the number whose two thirds part is equal to the number 36 is number 54.

Learn more about the fraction number here:

https://brainly.com/question/78672

we can alsoways find the slope by simply using two points off the table, bearing in mind  that slope goes by different names

rate of change

average rate of change

delta difference

rise over run

however is the same cat disguised in different costumes.

[tex]\bf \begin{array}{|cc|ll} \cline{1-2} time&distance\\ \cline{1-2} 15&2\\ 30&4\\ 45&5\\ 60&6\\ \cline{1-2} \end{array} \begin{array}{llll} \\[1em] \leftarrow \\\\ \leftarrow \end{array}\qquad \qquad (\stackrel{x_1}{30}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{60}~,~\stackrel{y_2}{6})[/tex]

[tex]\bf \stackrel{\textit{\large average rate of change}}{\stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{6}-\stackrel{y1}{4}}}{\underset{run} {\underset{x_2}{60}-\underset{x_1}{30}}}\implies \cfrac{2}{30}\implies \cfrac{1}{15}}[/tex]

[tex]\bf a_n=\cfrac{20}{3}+\cfrac{1}{3}(n-1) \\\\[-0.35em] ~\dotfill\\\\ \stackrel{89^{th}~term~\hfill }{a_{89}=\cfrac{20}{3}+\cfrac{1}{3}(89-1)}\implies a_{89}=\cfrac{20}{3}+\cfrac{1}{3}(88)\implies a_{89}=\cfrac{20}{3}+\cfrac{88}{3} \\\\\\ a_{89}=\cfrac{20+88}{3}\implies a_{89}=\cfrac{108}{3}\implies a_{89}=36[/tex]

Answer:

B

Step-by-step explanation:

Just did it

Answer:

60

Step-by-step explanation:

y+y+60=180

2y =120

therefore,y=60

Answer:

C. 60°

Step-by-step explanation:

To answer this problem we must make use of the sum of the internal angles of a triangle.

For any triangle the sum of its internal angles is equal to 180 °.

So we must add all the angles to find the answer:

[tex]y+y+60=180[/tex]

now we can add the two terms 'y'

[tex]2y+60=180[/tex]

and now we clear for 'y':

[tex]2y=180-60\\2y=120\\y=120/2\\y=60[/tex]

The value of y is 60°

Answer:  Range: y = {-7.5, -5, 10, 15}

Step-by-step explanation:

Domain is "x" and range is "y" f(x)

Replace the x's in the equation with each given value:

[tex]f(x)=3x-\dfrac{x}{2}\qquad \qquad \text{when}\ x={-3, -2, 4, 6}\\\\\\\\f(-3)=3(-3)-\bigg(\dfrac{-3}{2}\bigg)\\\\\\.\qquad =-9+\dfrac{3}{2}\\\\\\.\quad =\dfrac{-18}{2}+\dfrac{3}{2}\\\\\\.\quad =\large\boxed{-\dfrac{15}{2}}[/tex]

[tex]f(-2)=3(-2)-\bigg(\dfrac{-2}{2}\bigg)\\\\\\.\qquad =-6+1\\\\\\.\qquad =\large\boxed{-5}[/tex]

[tex]f(4)=3(4)-\bigg(\dfrac{4}{2}\bigg)\\\\\\.\qquad =12-2\\\\\\.\qquad =\large\boxed{10}[/tex]

[tex]f(6)=3(6)-\bigg(\dfrac{6}{2}\bigg)\\\\\\.\qquad =18-3\\\\\\.\qquad =\large\boxed{15}[/tex]

The range of the function with the specified domain of {-3, -2, 4, 6} is {-15/2, -5, 10, 15}.

The student asks: if fx=3x-x/2 find the range if the domain is {-3,-2,4,6}. To find the range of the function f(x) = 3x - x/2, we will evaluate the function for each value in the given domain and record the corresponding outputs. This function simplifies to f(x) = (5/2)x when you combine like terms.

For x = -3, f(-3) = (5/2)(-3) = -15/2.

For x = -2, f(-2) = (5/2)(-2) = -10/2 = -5.

For x = 4, f(4) = (5/2)(4) = 20/2 = 10.

For x = 6, f(6) = (5/2)(6) = 30/2 = 15.

Answer:

52:72

Explanation:

Because it's comparing the men to the TOTAL passengers. Not the women, that's trying to trick you.

Answer:

52:72

Step-by-step explanation:

because it said the male to total passengers

Answer:

The proportional relationships are used by showing ratios that can be simplified into 2:3.

Answer:

hbd

Step-by-step explanation:

fcvhk;mlsdhijksnmc3w

Answer: 600.62

Step-by-step explanation:

1018 x 0.59 = 600.62

Answer:

600.6. to the nearest tenth.

Step-by-step explanation:

59 % = 59/100 = 0.59.

0.59 * 1018

= 600.6.

Using the given number line, the plotted number is 1000 when rounded to the nearest thousand.

How to round a number to the nearest thousand?

To round a number to the nearest thousand, you need to identify the digit in the thousands place and then decide whether to round up or down based on the digit in the hundreds place.

Now, the nearest number too the plotted dot is 1000.

Thus, we can clearly conclude that the using the given number line, the plotted number is 1000 when rounded to the nearest thousand.

Answer:  (a) 3     (b) -4      (c) 8      (d) 8i        (e) 11

Step-by-step explanation:

For a cubed root, you need three like terms on the inside to make one on the outside.

[tex]a)\quad \sqrt[3]{27}\quad = \sqrt[3]{3\cdot3\cdot3}\quad =\large\boxed{3}\\\\b)\quad \sqrt[3]{-64}\quad = \sqrt[3]{-4\cdot-4\cdot-4}\quad =\large\boxed{-4}[/tex]

For a square root, you need two like terms on the inside to make one on the outside. Reminder that √-1 = i

[tex]c)\quad \sqrt{64}\quad = \sqrt{8\cdot8}\quad =\large\boxed{8}\\\\d)\quad \sqrt{-64}\quad = \sqrt{-1\cdot8\cdot8}\quad =\large\boxed{8i}\\\\e)\quad \sqrt{121}\quad = \sqrt{11\cdot11}\quad =\large\boxed{11}[/tex]