Find all natural values of x such that x/8 is a proper fraction, and x/4 is an improper fraction.

Answer:

H

Step-by-step explanation:

The total cost of the call is $2.50

Since the first three minutes cost $0.60

x minutes = $2.50 - $0.60

x minutes = $1.9

Each additional minutes cost $0.17

So: $1.9 / $0.17 = 11

To find the total minutes

$0.60 + $1.9 = $2.50

3 + 11 = total minutes

14 = total minutes

The answer is choice A.

Answer:

the answer is A that stuff is real easy

Answer: 12x3−21x2+67x−15

Step-by-step explanation:

(3x−5)(4−9x)+(2x+1)(6x2+5)

=12x+−27x2+−20+45x+12x3+10x+6x2+5

=12x+−27x2+−20+45x+12x3+10x+6x2+5

=(12x3)+(−27x2+6x2)+(12x+45x+10x)+(−20+5)

=12x3+−21x2+67x+−15

Answer:

12x^3 - 21x^2 + 67x - 15!

Step-by-step explanation:

Answer:

Part a) [tex]f(2)=1.57\ sec[/tex]

It takes 1.57 seconds for an object to fall a distance of 2 feet

Part b) see the explanation

Part c) [tex]2,165.43\ sec[/tex]

Step-by-step explanation:

Let

f(d) -----> the time in seconds it takes for an object to fall

d -----> distance in feet

we have

[tex]f(d)=1.11\sqrt{d}[/tex]

Part a): Determine f(2) and explain what it represents

we know that

f(2) represent the time in seconds it takes for an object to fall a distance of 2 feet

For [tex]d=2\ ft[/tex]

substitute in the function above and solve for f(2)

[tex]f(2)=1.11\sqrt{2}[/tex]

[tex]f(2)=1.57\ sec[/tex]

therefore

It takes 1.57 seconds for an object to fall a distance of 2 feet

Part b) The imbrium basin is the largest basin on the moon. A reasonable domain for the height above the lowest point in the basin is given by {d|0 ≤ d ≤ 3805774}

What does this tell you about the basin?

The height of the basin is greater than or equal to 0 ft and less than or equal to 3,805,774 ft  

so

The maximum height of the basin is 3,805,774 ft

Part c) How long would it take a rock to drop from the rim to the bottom of the basin?

we know that

The distance from the rim to the bottom of the basin is equal to the maximum height of the basin

so

[tex]d=3,805,774\ ft[/tex]

substitute the value of d in the function f(d)

[tex]f(d)=1.11\sqrt{3,805,774}[/tex]

[tex]f(d)=2,165.43\ sec[/tex]

The function f(d) = 1.11√d helps us find the time to fall a specific distance on the moon. It would take approximately 2 hours for a rock to fall from the highest point to the lowest point in the Imbrium Basin on the moon.

The given function for time it takes for an object to fall on the moon is f(d) = 1.11√d. Here, d represents the distance the object falls.

Part A: To find f(2), we substitute d with 2 in the provided function, which gives us f(2) = 1.11√2 = 1.57 seconds (rounded to two decimal places). This represents the time it would take for an object to fall a distance of 2 feet on the moon.

Part B: The given domain {d|0 ≤ d ≤ 3805774} indicates the height variation in the Imbrium Basin on the moon, where 'd' represents the height in feet. The height could be any value between 0 feet (the lowest point) and 3805774 feet (the highest point), which is approximately 720 miles.

Part C: To find the time it would take for a rock to drop from the rim to the bottom of the basin in the given domain, we substitute the highest point, d = 3805774, into the function. So, f(3805774) = 1.11 √3805774 = 7317 seconds, which is approximately 2 hours.

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Answer:

11:16

Step-by-step explanation:

The ratio cannot be simplified any further.

Answer:

[tex]-\frac{5}{14}[/tex]

Step-by-step explanation:

When you add fractions, sometimes you have to raise a number to make it more easier for you.

As in this case, we have two fractions in which seem to not be the same, but note this.

7 is multiple of 14, meaning to make our life easier, we can do this method:

[tex]\frac{2 * 2}{7 * 2}  = \frac{4}{14}[/tex]

Whoa! Now we have the same denominator for both fractions, now we made this problem way more easier than it was before.

Do the math:

[tex]\frac{-9 }{14} + \frac{4}{14}[/tex]

==> [tex]-\frac{5}{14}[/tex]

The fraction in the simplest form is -5/4.

A fraction is defined as a numerical representation of a part of a whole that represents a rational number.

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.

Operators who let do a basic mathematical calculation.

* Multiplication operation: Multiplies values on either side of the operator

For example 12*2 = 24

We have been given that expression of fraction as

⇒ -9/14 + 2/7

We have to determine the fraction in the simplest form.

⇒ -9/14 + 2/7

Take the LCM,

⇒ (-9 + 2×2)/7

⇒ (-9 + 4)/7

⇒ -5/4

Therefore, the fraction in the simplest form is -5/4.

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Answer:

384

Step-by-step explanation:

If 48 is 50% of something, that means

48 + 48 = 96. Now, what number is 96 25% of? well 96 • 4 = 384. Now let's do the math backwards!

25 % of 384 is 96. 50 % of 96 is 48! so your answer is 384! Hope this helps!!!

Answer:

384

Step-by-step explanation:

If 48 is 50% of something, that means

48 + 48 = 96. Now, what number is 96 25% of? well 96 • 4 = 384. Now let's do the math backwards!

25 % of 384 is 96. 50 % of 96 is 48! so your answer is 384! Hope this helps!!!

Step-by-step explanation:

Answer: B is the answer

Step-by-step explanation:

Why? It is equal to 0

Answer:

d. -24/-6 - 4​

Step-by-step explanation:

Use order of operation (PEMDAS) to solve.

There are no parentheses.

There are no exponents.

There is multiplication and/or division. Do this first, from left to right.

There is addition and/or subtraction. Do this second, from left to right.

Solve. Remember that a negative times (or divided by) a negative makes a positive.

-24 / -6 = 4

4 - 4 = 0

Check your work. None of the other expressions are equal to 0.

a. -24 / 6 - 4 = -4 - 4 = -8

b. -24 / -6 + 4 = 4 + 4 = 8

c. 24/6 + 4 = 4 + 4 = 8

Answer:

If adding, 43.2.

If subtracting, -34.2.

If multiplying, 174.15.

If dividing, 8.6.

Step-by-step explanation:

Addition: Line up and add.

Subtraction: Add the first number and opposite of the second. 4.5+(-38.7)=-34.2.

Multiplication: Multiply as normal, count up how many decimal places are in the factors (2), and add that to your answer, 174.15.

Division: Turn both number into whole numbers by multiplying by 10. Then divide 387/45= 8.6.

CAN EXPLAIN FURTHER

Answer:

Step-by-step explanation:

To find the equation of a parallel line, we first need to find the slope of 3y + 7 = 2x.

We need to find it because, if two lines are parallel, then that means they have the same slope.

The best way to do this is solve for y:

[tex]3y+7=2x\\3y=2x-7\\y=\frac{2}{3}-\frac{7}{3}[/tex]

Due to the rule that in y = mx + b, m = the slope, we find that the slope is 2/3.

Now we use that slope in the same formula to find b of the line we're trying to find the equation for, and then we'll have our answer. We find b by plugging in (2, 6) for x and y:

[tex]y = mx+b\\y=\frac{2}{3}x+b\\6=\frac{2}{3}(2)+b\\18=4+3b\\ 14=3b\\\frac{14}{3} = b[/tex]

So our line is:

[tex]y=\frac{2}{3}x+\frac{14}{3}[/tex]

To find the equation of a line parallel to a given line and passing through a given point, first find the slope of the original line. Then, using the slope-intercept form of a line, substitute the given point's coordinates and the slope to find the equation of the parallel line.

To find an equation of the line parallel to 3y+7=2x and passing through point (2,6), we need to find the slope of the original line and then use it to create the equation of the parallel line. The slope-intercept form of a line is y = mx + b, where m is the slope and b is the y-intercept.

The given equation 3y+7=2x can be rearranged to y = (2/3)x + 7/3.

The slope of this line is 2/3. Since a line parallel to another line has the same slope, the slope of the parallel line is also 2/3.

Using the point (2,6) and the slope 2/3, we can use the slope-intercept form to find the equation of the parallel line: y = (2/3)x + b. Plugging in the coordinates of the given point, we get 6 = (2/3)(2) + b.

Solving for b, we find that b = 5/3. Therefore, the equation of the line parallel to 3y+7=2x and passing through (2,6) is y = (2/3)x + 5/3.

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Answer:

1.256637061 x 10 (to the power of 20)

Step-by-step explanation:

Just apply these digits into your calculator.

Answer:

11/15 bought food and 4/15 bought a drink

Step-by-step explanation:

2/5 x 3 = 6/15 bought a hamburger

1/3 x 5 = 5/15 bought chips

6/15 + 5/15 = 11/15 bought food

11/15 - 15/15 = 4/15 bought a drink

Answer:

x = 31

Step-by-step explanation:

Let x: total amount of questions in the Chemistry test.

Then 52% represents the ratio of questions properly answered vs total questions:

[tex]\frac{Correct}{Total} = 52%[/tex]

The number of correct questions is the number of total questions take the number of missed questions.

[tex]Correct questions = Total questions - missed questions[/tex]

Since, missed questions = 15

[tex]\frac{x-15}{x} = 52%[/tex]

Also, 52% can be expressed as 0.52. Then, the expression can be rewritten as:

[tex]\frac{x-15}{x} = 0.52[/tex]

Then, rearranging:

[tex] x - 15 = 0.52x [/tex]

[tex] x - 0.52x = 15 [/tex]

[tex] 0.48x = 15 [/tex]

[tex] x = 15/0.48 [/tex]

[tex] x = 31.25 [/tex]

Rounding to the nearest unit: x = 31

Answer:

2 * ( [2w-8]   + w)

Step-by-step explanation:

width = w

Length = 2w -8

Perimeter of Rectangle  = 2 (l+b)

                                        = 2 * ( [2w-8]   + w)

Final answer:

The slope of the line represented by the equation 2x + 5y = 10, passing through points (5, 0) and (0, 2), is calculated as -2/5, meaning the slope is negative two-fifths.

Explanation:

The slope of the line represented by the equation 2x + 5y = 10 can be calculated by using the coordinates of two points through which the line passes. In this case, the points are (5, 0) and (0, 2). According to the slope formula, slope (m) is defined as the change in y (the rise) over the change in x (the run). Therefore, the slope is:

The slope of the line is negative two-fifths (-2/5). Since the slope is negative, this indicates that as the x-value increases, the line moves down the y-axis.

Answer:

(3,1),(-2,3),(4.5,-3),(-6,2.3)

Answer:

Step-by-step explanation:

10^0=1

10^-3 = 1/10^3

4.0=4

so : 1.72×10^0/4.0×10^-3 = (1.72× 10^3)/4 =430  

scientific notation is : 4.30× 10^2

Answer:  9(5 + 1)

Step-by-step explanation:

Factor out the GCF (greatest common factor) of 45 and 9, which is 9.

[tex]9\bigg(\dfrac{45}{9}+\dfrac{9}{9}\bigg)\\\\\\=\large\boxed{9(5+1)}[/tex]

Answer:

5/6

Step-by-step explanation:

Let x = 0.8333.....

Then 10x = 8.333...

Now we subtract x from 10x.

               10x = 8.333...

       -           x = 0.833...

    -----------------------------

                  9x = 7.5

9x = 7.5

9x/9 = 7.5/9

x = 7.5/9 = 15/18 = 5/6

Answer: 5/6

The repeating decimal .83 repeating is equal to the fraction 83/99 in simplest form. A repeating decimal can be expressed as a fraction using the method of setting up equations, exploiting the fact we know which digits are repeating.

To express the repeating decimal .83 repeating as a fraction in simplest form, we first need to understand what a repeating decimal is. A repeating decimal is a decimal fraction in which a digit or group of digits repeats infinitely. In the case of .83 repeating, the group of digits that is repeating is '83'. This means that the decimal can be written out as .838383..., and so on, infinitely.

To represent this as a fraction, we can use the method of setting up a pair of equations. Let's define the repeating decimal like this: x = .8383... . Now, multiply x by 100 since there are two repeating digits, yielding the equation: 100x = 83.8383... . Subtract the first equation from this to give 99x = 83, or x = 83/99 when simplified. So, the decimal .83 repeating is equal to the fraction 83/99 in simplest form.

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Answer:

[4, -1]

Step-by-step explanation:

Using the Elimination Method:

3x + y = 11

5x - y = 21

__________

8x = 32

__ ___

8 8

x = 4 [Plug this back into both equations to get the y-coordinate of -1]; -1 = y

The y's are already additive inverses [result in 0], canceling each other out.

I am joyous to assist you anytime.

Answer: 12 inches cubed

Step-by-step explanation:

volume=length x width x height

volume=1.5 in x 2 in x 4 in

volume=12 in^3

Answer: C. 3.2 × 10^4

Step-by-step explanation:

for this case the multiplication of the values with exponent are summed, as the exponent are the 6 and -3

6 - 3 = 3

this will be the exponent of the common value which is the 10.

after you only need to multiply 8 and 4 by separate the

8 * 4 = 32.

then we only need to place the values one by one

32 × 10^3

3 is the result of the sum of the exponent.

10 is the common value.

32 is the result of the product.

if we add another zero to the multiplication we get 3.2 and exponent finish with one more zero, then we get this result

3.2 × 10^4

because of that the C is the correct answer, keep in mind that the other answers do not apply correctly the rule of the exponent, because the rest of answer give us wrong answer with final result of the exponent.

To simplify the expression (8 × 10^6) × (4 × 10^-^3) in scientific notation, we multiply the numbers (8 x 4) and add the exponents (6 + -3) resulting in 32 x 10^3. To represent the coefficient within the range of 1 and 10, we revise 32 as 3.2 x 10 yielding the answer 3.2 x 10^4.

To answer the question, 'Which shows the expression below in simplified form? (8 × 10^6) × (4 × 10^-^3)', we need to understand the rules for multiplying numbers in scientific notation. To multiply two numbers in scientific notation, we multiply the coefficients (the numbers) first and separately add the powers of ten.

Here, the coefficients are 8 and 4 which multiply to give 32. The powers of ten are 10^6 and 10^-3. When multiplying powers of 10, we add the exponents, so 6 + -3 = 3. Therefore, the simplified form of the expression is 32 × 10^3. However, in scientific notation, we usually want the coefficient to be a number between 1 and 10. Therefore, we rewrite 32 as 3.2 x 10 to get the final answer: 3.2 x 10^4. So, the correct answer is option D. 3.2 x 10^4

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Answer:

67.5 seconds

Step-by-step explanation:

I can run faster :D

Find the mean of the runner's speeds as (72 + 63)/2 = 67.5

The runners take 67.5 seconds to cover 1/4 mi if Joel can run around a 1/4 mi track in 72 sec and Jason can run around the track in 63 seconds.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

It is given that:

Joel can run around a 1/4 mi track in 72 sec and Jason can run around the track in 63 seconds.

The runners start at the same spot and run in opposite directions.

The runner's speeds = (72 + 63)

The time they take = 135/2        

The time they take = 67.5 seconds

Thus, the runners take 67.5 seconds to cover 1/4 mi if Joel can run around a 1/4 mi track in 72 sec and Jason can run around the track in 63 seconds.

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Answer:

3

Step-by-step explanation:

1 Donut, 4 Bagels/2 donuts, 3 bagels/3 donuts, 2 bagels, 3 combinations that are possible

Answer:

1. ABE and CBD

Notice that the vertex is B, so these two angles share the same vertex. Accordingly, these two angles are vertical angles.

2. ABC and EBD

The same reasoning is applied here. The vertex is also B. Notice that the angles CBD and ABD add up to 180 degrees.

Step-by-step explanation:

Vertical angles are a pair of opposite angles formed by intersecting lines. The pair of angles which are vertical angles are ∠ABE and ∠CBD.

Vertical angles are a pair of opposite angles formed by intersecting lines.

As we know about the vertical angles, it is formed by two intersecting lines as in the given figure below, therefore, the angles which are a pair of vertical angles are ∠ABE and ∠CBD.

Hence, the pair of angles which are vertical angles are ∠ABE and ∠CBD.

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Answer:

see explanation

Step-by-step explanation:

64x + 27 ← is not a sum of cubes. We would require

64x³ + 27 ← sum of cubes and factors as

64x³ + 27 = (4x + 3)(16x² - 12x + 9)

Answer:

1. False

2. c. (1, -7)

3. Input= 1 and 4; Output=6, 12 and 18. The rule is the input×3

Step-by-step explanation:

1. 8+4=±5+7

8+4= 12 & ±5+7= 2

The left side  12  does not equal to the right side  2 , which means that the given statement is false.  

2. I'm not sure how to show my work.

3.

Input: 0, 1, 2, 3, 4, 5, 6

Output: 0, 3, 6, 9, 12, 15, 18

0×3=0; 1×3=3; 2×3=6; 3×3=9; 4×3=12; 5×3=15; 6×3=18

1. The equation is false.

2. The ordered pair that is a solution of the equation y = -11x + 4 is (-1, -7).

3. The rule for the table is to square the input and add 3.

1. Given

8 + 4 = -5 + 7

12 = 2

The left side of the equation is 12, and the right side of the equation is 2. 12 is not equal to 2, so the equation is false.

2. The ordered pair that is a solution of the equation y = -11x + 4 is (-1, -7).

To see this, we can substitute the x-value of -1 into the equation and solve for y:

y = -11(-1) + 4

y = 11 + 4

y = 15

We can also substitute the y-value of -7 into the equation and solve for x:

-7 = -11x + 4

-11x = -11

x = 1

Therefore, the ordered pair (-1, -7) satisfies both sides of the equation, so it is a solution.

The other ordered pairs do not satisfy both sides of the equation. For example, if we substitute the x-value of 0 into the equation, we get y = 4, which does not equal -7.

3. The rule for the table is square the input and add 3.

To see this, we can look at the first few rows of the table:

Input | Output

-------|--------

0      | 3

3      | 12

9      | 28

We can see that squaring the input and adding 3 gives us the output for each row. For example, squaring the input of 0 gives us 0, and adding 3 gives us 3, which is the output for the first row.

We can also see that this rule works for all of the rows in the table. Therefore, the rule for the table is to square the input and add 3.

Here is the completed table:

Input | Output

-------|--------

0      |    3

3      |    12

9      |    28

16     |    45

25    |    64

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Answer:

Jamie has 14 dimes and 26 nickels

Step-by-step explanation:

nickels : x

dimes : y

[tex]x + y = 40 \\ x = y + 12 \\ \\ replace \: x \:in \: the \: first \: equation \\ y + 12 + y = 40 \\ 2y = 28 \\ y = 14[/tex]

Jamie has a total of 40 coins out of which there are 14 dimes and 26 nickels.

Let x represent the number of dimes. Since Jamie has 12 more nickels, the number of nickels is x + 12.

The total number of coins is 40, so x + x + 12 = 40.

Solve for x:

2x + 12 = 40, 2x = 28

x = 14.

The missing digit in this numbers are 11