How many lawns can you move with one gallon of gasoline if you maintain the rate of 1/2 gallon of gasoline per 1/4 lawn mowed

Answer:16

Step-by-step explanation:

4*2 is 8/2 is 4 + 16 is 20 - 4 is 16

Answer:

16

Step-by-step explanation:

According to PEMDAS:

First do operations within parentheses.

Then you do exponents.

Then you do multiplication and division (or division and multiplication), working left to right.

Finally, you do addition and subtraction (or subtraction and addition), working left to right.

16 + (4 × 2 / 2) − 4

First, we start with what's in the parentheses.  We have multiplication and division.  Working left to right:

16 + (8 / 2) − 4

16 + 4 − 4

Now we have addition and subtraction.  Working left to right:

20 − 4

16

A number is rational if it is the result of a fraction.

Take any number, if you can write it down as a fraction, then that number is rational.

Example: 2,5 is rational because it's 5/2.

A number is irrational if it's real and IS NOT rational.

Example: pi is irrational, e is irrational and also

[tex] \sqrt{72} [/tex]

A detailed explanation of whether [tex]\sqrt{72}[/tex] is rational or irrational, with examples and definitions to support the answer.

To determine whether [tex]\sqrt{72}[/tex] is rational or irrational, let's first simplify the expression:

[tex]\sqrt{72}[/tex] = [tex]\sqrt{36*2}[/tex]

[tex]\sqrt{72} = \sqrt{36}[/tex] × [tex]\sqrt{2}[/tex]

[tex]\sqrt{72[/tex] = [tex]6\sqrt{2}[/tex]

Now, 2 is an irrational number, as it cannot be expressed as a fraction of two integers where the denominator is not zero. Since [tex]\sqrt{2}[/tex] is irrational and [tex]\sqrt{6}[/tex] is rational, the product [tex]6\sqrt{2}[/tex] is also irrational.

Therefore, [tex]\sqrt{72}[/tex] is irrational.

Answer:

5/4 -6

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

A proportional relationship has the form

y = kx ← k is the constant of proportionality

y = [tex]\frac{2}{5}[/tex] x - 4 ← is not in this form

Thus does not represent a proportional relationship

Answer:

D. a reflection in the y-axis, followed by a counterclockwise rotation of 270 about the origin

Step-by-step explanation:

Well, the first obvious step is to reflect it across the y-axis. Now, for the next step, since we do not have a 90°-clockwise rotation option, we have to go with something similar to that, which would be a 270°-counterclockwise rotation. If you think about it, since 3 × 90 is 270, and rotating this figure 90° clockwise [one rotation] would go from Quadrant III to Quadrant II, going the other way around [270°counterclockwise (three rotations)] will also go from Quadrant III to Quadrant II [to Quadrant IIII to Quadrant I to Quadrant II].

I am delighted to assist you anytime my friend.

Answer:

The answer i choose is D

Step-by-step explanation:

i choose D because 1.) i you worked out answer A than it would be sideways and wouldn't even fit on the board.  2.) if you worked out problem B than you will notice that the figure will end up sideways again.  3.) if you did answer C than you don't even end up in the right quadrant of the board

so you are left with D.) a reflection in the y-axis, followed by a counterclockwise rotation of 270 about the origin

Answer: 2/3

Step-by-step explanation: To find how much of the candy bar they each have, we will have to add the fractions. To add unlike fractions such as 1/3 and 4/12, we first need to find a common denominator. The common denominator of 3 and 12 is simply the least common multiple of 3 and 12 which is 12. To get 12 in the denominator of 1/3, we multiply the numerator and denominator by 4 to get 4/12. Notice that our second fraction already has 12 in the denominator so we can now add these fractions.

[tex]\frac{4}{12}[/tex] + [tex]\frac{4}{12}[/tex] = [tex]\frac{8}{12}[/tex].

Notice that 8/12 can be reduced by dividing both the numerator and denominator by 4.

8 ÷ 4 = 2

12 ÷ 4 = 3

Therefore, Jackie and Steven have 2/3 of a Hershey bar.

3x + 1 = 8

move +1 to the other side

sign changes from +1 to -1

3x+1-1= 8-1

3x= 7-1

divide by 3 for both sides to get x by itself

3x/3= 7/3

Answer:

x= 7/3 and x= 2 1/3

Answer:

[tex]\large\boxed{x=\dfrac{7}{3}=2\dfrac{1}{3}}[/tex]

Step-by-step explanation:

[tex]3x+1=8\qquad\text{subtract 1 from both sides}\\\\3x+1-1=8-1\\\\3x=7\qquad\text{divide both sides by 3}\\\\\dfrac{3x}{3}=\dfrac{7}{3}\\\\x=\dfrac{7}{3}[/tex]

Answer:

-1280.

Step-by-step explanation:

f(n + 1) = -2 f(n):

As  function of 1 = 160,  function of 2 = -2 * 160 = -320.

function of 3 = -320 * -2 =  640  and

= function of 4 = 640 * -2 = -1280.

Answer:

First of all, you should know that perimeter means, the sum of all the sides in the figure. So, if you have a lenght that is twice its widht, the ecuation must be, 6 width = 135 ft.

Step-by-step explanation:

Answer:

Step-by-step explanation:

twice means 2 , so you have to multiply 135 by 2 and there is your answer.

Answer:

12

Step-by-step explanation:

(x-1)+(y+1)+(z-1)

= x -1 + y + 1 + z - 1

= x + y + z -1

= (x + y + z) -1

given that x+y+z = 13, substitute this value into the equation aove

(x + y + z) -1

= 13 - 1

= 12

Answer:

The number is 1 or -0.94 ( to the nearest hundredth).

Step-by-step explanation:

Let the number be x, then:

(4x)^2 = x + 15

16x^2 - x - 15 = 0

x = [-(-1) +/- sqrt(1 - 4 * 16 * -15)] / 32

x = 32/32 = 1 or

x = -0.94.

Answer:

 x=1           or      x = - [tex]\frac{15}{16}[/tex]

Step-by-step explanation:

To solve this problem, we will follow the steps below;

First, we need to re-write the question in a mathematical format.

Let x be the number

"The square of the product of 4 and a number is the sum of the number and 15"  can be written mathematically as;

(4x)²  = x + 15

16x² = x + 15

This equation can be re-written as;

16x² - x - 15 = 0

This is a quadratic equation, we can solve by formula method

x = -b ±√b² - 4ac   /2a

From the equation above,   a = 16      b = -1     and      c= -15

We can now proceed to insert the values into the equation

x = -b ±√b² - 4ac    /2a

x = -(-1) ±√(-1)² - 4(16)(-15)    /2(16)

x = 1 ±√1 + 960    /32

x = 1 ±√961   /32

x = 1 ± 31   /32

Either   x =  [tex]\frac{1+ 31}{32}[/tex]      or      x = [tex]\frac{1-31}{32}[/tex]

           x   = [tex]\frac{32}{32}[/tex]        or         x =[tex]\frac{-30}{32}[/tex]

       x=1           or      x = - [tex]\frac{15}{16}[/tex]

Answer:

x = +/-10°

Step-by-step explanation:

[2(x+10)]°=

[2x + 20] =

[2x] = [-20]

2x/2 = -20/2

x = -10

(3x - 30)°

3x/3 = 30/3

x = 10

Answer:

The value of x = 50°

Step-by-step explanation:

As,

[2(x+10)]°  &  (3x-30)° both are Vertically opposite angles.

we know,

vertically opposite angles are equal .

so,

2(x+10) = 3x-30

⇒2x+20 = 3x-30

⇒3x-2x=20+30

∴x=50

∴The value of x = 50°

Answer: two hundred ninety three thousand six hundred seventy one

To convert 293,671 into words, divide it into the thousands and ones part - resulting in 'two hundred ninety-three thousand, six hundred seventy-one'.

Turning a number like 293,671 into words is a simple task once you understand the place value system used in English for numbers. This process involves breaking the number down into manageable chunks and then converting each chunk into words based on their respective values.

Firstly, we recognize that 293,671 falls in the 'thousands' range, as it's more than 1,000 but less than 1 million. Therefore, we divide the number into the 'thousands' part (293) and the 'ones' part (671).

The number 293 in words is 'two hundred ninety-three', and 671 is 'six hundred seventy-one'. Combining these with the appropriate place value gives us 'two hundred ninety-three thousand, six hundred seventy-one'.

Answer:

F, K & G

Step-by-step explanation:

Points are colinear if they lie on the same straight line.

only K , F & G line on a straight line.

The following points which are collinear in the image is Option (A) F,K and G.

Three or more points are said to be collinear if they lie on a single straight line. A line on which points lie, especially if it is related to a geometric figure is called an axis. Two points are always collinear since two points determine a line.

From the definition of collinear points, we have to identify the points which are in a single straight line.

Apart from the rest other options, Option (A) signifies the points F,K and G which are on the single straight line of the vertex FG in the cube.

Therefore, the following points which are collinear in the image is Option (A) F,K and G.

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Finally, we'll drag the corresponding domain description into the box under each graph based on our analysis.

To answer the question presented in the image, we need to match each graph with its corresponding domain. Here's how to determine the domain for each graph step by step:

1. Examine the first graph:

2. Examine the second graph:

3. Examine the third graph:

Now, let's apply this process to each graph in the uploaded image:

Answer:

-2

Step-by-step explanation:

y=.5(-10)+3

y=-5+3

y=-2

Answer:

x=0

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

To find numbers less than -3 or greater than 5, we consider numbers to the left of -3 and to the right of 5 on the number line.

To find the numbers that are less than -3 or greater than 5, we can consider numbers that are to the left of -3 on the number line or to the right of 5. Any number less than -3 will be represented by a point to the left of -3, and any number greater than 5 will be represented by a point to the right of 5. This means that any number less than -3 or greater than 5 will include all the numbers from negative infinity to -3, and all the numbers from 5 to positive infinity.

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Answer:

3.15

Step-by-step explanation:

3.149 rounded to the nearest hundredth is 3.15.

We have,

To round a number to the nearest hundredth, we look at the digit in the thousandth place.

In this case, the digit in the thousandth place is 4.

Since the digit 4 is greater than or equal to 5, we round up the digit in the hundredth place, which is 9.

Therefore, the number 3.149 is rounded up to 3.15 when rounded to the nearest hundredth.

Thus,

3.149 rounded to the nearest hundredth is 3.15.

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Answer:

D)commodity,representative,filat

Answer:

Physical money. Physical money, meaning cash and coins, is created by the US Treasury. ...

Central bank reserves. Central bank reserves are a type of electronic money, created by the Federal Reserve and used by banks to make payments between themselves. ...

Commercial bank money.

Step-by-step explanation:

Your answer would be 6/10, or 3/5

(2 / 5) / (2 / 3) = 0.6

and 0.6 as a fraction is 6/10

6/10 simplified is 3/5

Hopefully I got this right, I'm not 100%

The length of the base of a triangle with the given area and height is equal to [tex]8\ cm[/tex].

" Triangle is defined as the two dimensional geometric shape with three vertices, three sides, and three interior angles enclosed in it."

Standard formula

Area of the triangle [tex]\frac{1}{2} \times base \times height[/tex]

According to the question,

Given,

Given formula of the area of the triangle [tex]= bh[/tex]

[tex]'b'[/tex] represents the base of a triangle

[tex]'h'[/tex] represents the height of a triangle

Area of the triangle [tex]= 32 \ cm^{2}[/tex]

Height of the triangle [tex]= 4 \ cm[/tex]

Substitute the value in the given formula we get,

[tex]32= b\times 4\\\\\implies b = \frac{32}{4} \\\\\implies b = 8 \ cm[/tex]

From standard formula

[tex]32 = \frac{1}{2} \times base \times 4\\\\\implies base = \frac{32\times 2}{4}\\ \\\implies base = 16 \ cm[/tex]

Hence, Option(B) is the correct answer.

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Step-by-step explanation:

10 x 2 = 20 (after 15 minutes) 9:15

20 x 2 = 40 (after 30 minutes)

40 x 2 = 80 (after 45 minutes)

80 x 2 = 160 (after 60 minutes) - 10:00

160 x 2 = 320 (after 75 minutes)

320 x 2 = 640 (after 90 minutes)

640 x 2 = 1280 (after 105 minutes) - 10:40

There will be 1280 bacteria in the dish at 10:40.

Answer: A

Step-by-step explanation:

The ascending order of the number from smallest to largest will be  1.448, 1.22, 2, 14 10

Ascending order is a method of arranging numbers in increasing order or smallest to largest values.

We have given the values as

1.448, 2 , 14 10 , and 1.22

Here if we arrange the numbers in ascending order, we get

1.448, 1.22, 2, 14 10

Thus, The ascending order of the number from smallest to largest will be  1.448, 1.22, 2, 14 10

Learn more about ascending order;

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Answer:

$147,000

Step-by-step explanation:

After 1st year:

we need to increase 150,000 by 4%. That means the value would be 150,000 multiplied by 1.04. So:

150,000 * 1.04 = 156,000

After 2nd year:

The new appreciated value of 156,000 will now suffer a loss of  6%. So we need to find the new value by multiplying 156,000 by 0.94 (6% loss). So:

156,000 * 0.94 = 146,640

To the nearest 1000, this would be $147,000

Answer:

1  1/3

Step-by-step explanation:

-4 1/3 + 5 2/3  = -13/3  + 17/3                 { change into improper form}

                       =  { (-13) + 17 } / 3

                        = 4 / 3

                       = 1  1/3

Answer:

Density  = Mass (grams) / Volume (Milliliters)

Density = 120 grams / 200 ml

Density = .60 grams per ml

Density is less than 1 so it will float on water.

Step-by-step explanation:

Step-by-step explanation:

It is given that,

Volume of the block of oak, V = 200 cc

Mass of the block of oak, m = 0.12 kg = 120 grams

The density of any substance is given by mass per unit volume. mathematically, it is given by :

[tex]d=\dfrac{m}{V}[/tex]

[tex]d=\dfrac{120\ g}{200\ cm^3}[/tex]

[tex]d=0.6\ g/cm^3[/tex]

So, the density of the block of oak is [tex]0.6\ g/cm^3[/tex]. The density of water is [tex]1\ g/cm^3[/tex]. So, it will float on water as the density of the block of oak is less than water.

Answer:5

Step-by-step explanation:30÷6=5

Answer:

5 is how much each ticket costs

Answer: h(x) = |x|

Explanation:

h(0) = |0| = 0

h(-1) = |-1| = 1

h(-2) = |-2| = 2

Answer: the second one

Hope that helps

Answer: The answer to your question should be ($x +$8) + $4

Step-by-step explanation:

First of all ignore the dollar sign. It’s irrelevant to the problem and we aren’t dealing with decimals. First of all, we know that Hector has $8 more than Tami and Joe has $4 more than Hector so first we need to find how much money Hector has. Since Hector has $8 more than Tami and we know that Tami has $x we $x+$8 is Hectors amount of money. Since Joe has $4 more than Hector and we know Hectors money is $x + $8 Joe’s money is ($x+$8) + $4.