Write 5/8 and 2/3 with the same denominator

The time needed to travel a certain distance varies inversely with the rate of speed, so:

8hours----------------------------->36mi/h

xhours----------------------------->60mi/h

4.8 hours or 4 hours and 48 minutes

Answer:

10.05 for 12 quarts

Step-by-step explanation:

Answer:

45 degrees

Step-by-step explanation:

I'm really rusty with this so not entirely sure but that should be it..

Good luck!!

The exact value of sin(pi/3) is √3. By definition, the sine of an angle is the ratio of the length of the opposite side to the length of the hypotenuse. Therefore, sin(pi/3) = √3/1 = √3.

The exact value of sin(pi/3) can be determined using trigonometric properties and identities.

First, we know that pi/3 is equivalent to 60 degrees. In a unit circle, the point corresponding to 60 degrees forms an equilateral triangle with the origin and the x-axis. This triangle has side lengths of 1, 1, and √3.

To find the sine of pi/3, we consider the side opposite the angle (pi/3) in the triangle. In this case, the opposite side has a length of √3. The hypotenuse of the triangle is 1, as it is the radius of the unit circle.

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Answer:

They are equivalent.

Step-by-step explanation:

Answer:

marks obtained= 50

total marks= 240

percentage= 50/240*100

percentage= 20.83 or 20 whole 4/5

Answer:

7

Step-by-step explanation:

Given the data :

9,8,7,6,5,4,3,2

Ordering the data from least to highest :

2, 3, 4, 5, 6, 7, 8, 9

The range of a dataset is given by :

Maximum - Minimum

Maximum value = 9

Minimum value = 2

Range of data:

9 - 2 = 7

Range = 7

Answer: the answer is two :)

Step-by-step explanation:

4x=5+3

4x=8

x= 8/4

x=2

Answer:

the answer is B D and A.

Step-by-step explanation:

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If P = 3 express the equation 3(2-1)+2x 3 (-1) = 1 in terms of P hence or otherwise. the value of y in the equation 3(2y-1)+2 x 3 (y-1)=1 is 5/6.

Substituting P = 3 into the given equation, we get:

3(2-1) + 2x3(-1) = 1

Simplifying the left-hand side of the equation, we get:

3 + (-6) = 1

Therefore, the equation is not true when P = 3.

To solve the second equation, we can substitute 3 for P and simplify as follows:

3(2y-1)+2x3(y-1)=1

6y - 3 + 6y - 6 = 1

12y - 9 = 1

12y = 10

y = 10/12

Simplifying this fraction, we get:

y = 5/6

Therefore, the value of y in the equation 3(2y-1)+2 x 3 (y-1)=1 is 5/6.

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written answer in the picture

Answer:

x = 9.8 (rounded)

Step-by-step explanation:

the diagonal within the quadrilateral measures

\(\sqrt{(12)^{2} +(12)^{2} } =\sqrt{288} =16.97\)

Calculate x on the right triangle of which it is a leg

\(tan60^{0} =\frac{16.97}{x}\)

\(x=\frac{16.97}{tan60^{0} } =9.797\)

Hope this helps

Answer:

Answer to your question ; f(t) = 55 = 4t

Hope it helps :)

\(x + 4y = 9 \\

-x - 2y = 3 \\ eliminate \: one \: variable \: by \\ adding \: the \: equations \\ 2y = 12 \\ divide \: both \: sides \\ y = 6 \\ substitute \: the \: value \: of \: y \\ \: into \: equation \: ...2 \\ - x - 2(6) = 3 \\ solve \: the \: equation \\ - x - 12 = 3 \\ - x = 3 + 12 \\ - x = 15 \\ x = - 15 \\ SOLUTION \\ x = - 15 \\ y = 6 \\ Hope \: it \: helps :)\)

Answer:

9 is the answer for the y variable

Answer:

The best way to find the y-intercept is to convert this standard form equation into slope-intercept form.

Slope-Intercept form: y = mx + b, with m = slope and b = y-intercept

Firstly, subtract 6x on both sides of the equation:

Next, divide both sides by 2 and your slope intercept form is  . And looking at this form, we see that the y-intercept is (0,6).

Next, to find the x-intercept, plug in 0 into the y-variable and solve for x:

Your x-intercept is (2,0).

Answer:

x = -1,375

y = -5

Step-by-step explanation:

{-8x + y = 6, / : (-1)

{-8x + 3y = -14;

Multiply the first equation by -1, so that we could eliminate 8x:

+ {8x - y = -6,

{-8x + 3y = -14;

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

4y = - 20 / : 4

y = -5

Now, make x the subject from the first equation (you can do it from the 2nd one instead):

8x = -6 + y / : 8

x = -0,75 + 0,125y

x = -0,75 + 0,125 × (-5) = -0,75 - 0,625 = -1,375

Answer:

\(area = 2 \times ( \frac{1}{2} \times 1.5 \times 7) + (8 \times 7) \\ = 10.5 + 56 \\ = 66.5 \: sq \: units\)

\( \small{ \star{ \underline{ \blue{becker}}}}\)

Answer:

45.5 u²

Step-by-step explanation:

first we need to find the base of the triangle so we subtract 8-5=3, now since its 2 triangles we divide by 2 and we get 1.5 for each base of the triangles

area for a triangle: A=bh/2

A=(1.5)(7)/2

since its 2 triangles then multiply by 2

A= 10.5 u²

area for a rectangle: A=bh

A=(7)(5)

A= 35 u²

35+10.5 = 45.5 u²

Answer:

Try contacting the Help center located at the bottom part of the home page of this site. It is recoverable as long as no violation committed

9514 1404 393

Answer:

  6.2

Step-by-step explanation:

We presume your "k-value" is the k in the exponential decay term ...

  e^(-kt) . . . where t is the number of time units

This is 1/2 when ...

  ln(1/2) = -kt

  t = ln(1/2)/(-k) = ln(2)/k

  t = 0.69315/0.1124 ≈ 6.2

The half life is about 6.2 time units.

Step-by-step explanation:

sqrt(50) - irrational. sqrt(50) = sqrt(25×2) = 5×sqrt(2).

sqrt(2) is the prime example of an irrational number (infinite positions after the decimal point, no repeating patterns).

3.45656565656... - rational. although it is infinite, it has had a repeating pattern that allows us to write it as fraction.

0 - rational. as every integer or whole number.

sqrt(4/9) = 2/3 - rational as expressed as fraction.

0.38 - rational. it is a finite decimal number, and can be easily expressed as fraction (like 38/100).

sqrt(81) = 9 - rational. again, as every integer or whole number.

2pi - irrational. pi is a prime example of an irrational number (infinite and no repeating pattern). not possible to write as fraction. Any combination of pi is also irrational.

sqrt(1.69) = 1.3 - rational. finite decimal that we can easily write also as fraction (like 13/10).

sqrt(2/9) = sqrt(2)/3 - irrational, as sqrt(2) is a prime example for an irrational number. any combination with an irrational number is an irrational number.

Answer:

\(\frac{1}{2}\) of the garden will be radishes.

Step-by-step explanation:

Given a rectangular garden which grows cucumbers in \(\frac{2}{3}\) of the garden.

\(\frac{3}{4}\) of the cucumber section to grow radishes.

To find:

How much of the whole garden will be radishes?

Solution:

Let the total area of the garden = \(x\) sq units

Then as per our assumption, total area to grow cucumbers:

\(\frac{2x}{3}\) sq units

Cucumber area to grow radishes = \(\frac{3}{4}\) of cucumber area

\(= \dfrac{3}{4}\times \dfrac{2x}{3}\\\Rightarrow \dfrac{x}{2}\ sq\ units\)

Fraction of whole garden to grow radishes = Area to grow radishes divided by whole area of garden

\(\Rightarrow \dfrac{\frac{x}{2}}{x}\\\\\Rightarrow \bold{\dfrac{1}{2}}\)

Therefore, \(\frac{1}{2}\) of the garden will be radishes.

Answer:

There is no asymptote

Step-by-step explanation:

Asymptotes occur when you have a divide by 0 error/undefined. The graph of h(x) = 4x - 2 is a linear line, so no asymptotes are present.

Answer:

y= -2

Step-by-step explanation:

Answer:

B.9

Step-by-step explanation:

Because if they are offering 6 different flavors of ice cream with a choice of 3 different flavors of syrup, thats 6 + 3

Answer:

269.75

Hope this helps:)

Step-by-step explanation:

The equation which represents the relationship between X values and Y values can be found by deriving the equation of line using slope intercept form. The equation of line is 3x - 5y = 25.

How to find equation of line using slope intercept form?

Equation of line using slope intercept form is y = mx + b

where m is slope of the line and b is y-intercept

The slope intercept can be used to form equation of line using two points on the line.

According to the given question:

The two points which lie on the line are (x, y) = (5, -2) and (x', y') = (0, -5)

Slope of the line m = y' - y/x' - x

                               = (-5 +2)/(0 - 5)

                               = 3/5

Now y intercept b = y - mx

                              = -2 - (3/5. 5)

                              = -5

Therefore the required equation of line is y = 3/5x - 5

On simplifying further 3x - 5y = 25

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Answer:

$0.64 per cup

Step-by-step explanation:

There are 16 cups in 1 gallon, so the number of cups in 2 gallons is:

1 gallon: 16 cups

2 gallon = 2 x 1 gallon = 2 x 16 cups = 32 cups

So we need to find the price of each cup:

1 cup = ($20.48 / 32 cups) = $0.64 per cup.

Answer:

-17/39 or -0.56

Step-by-step explanation:

same answer just in a different way

Answer:

\(\frac{-17}{30}\)

Step-by-step explanation:

Fine a common denominator.  Both 5 and  6 will evenly go into 30 so make equivalent fractions with 30 as the denominator:

\(\frac{-7}{5}\) = \(\frac{-42}{30}\)  5 x 6 is 30 so we multiply -7 x 6 to get -42

\(\frac{5}{6}\) = \(\frac{25}{30}\)  6 x 5 is 30 so we multiply 5 x 5 to get 25

\(\frac{-42}{30}\) + \(\frac{25}{30}\) = \(\frac{-17}{30}\)  The denominator stays the same 30.  We add the numerators.  -42 + 25  You add the absolute vales and take the sign of the larger absolute value.  Absolute value is a positive number that shows the distance that number is from zero.

The length of side a is approximately B. 24.3 (to the nearest tenth).

The correct answer is B. 24.3

To find the length of side a in triangle ABC, we can use the Law of Sines, which states that the ratio of the length of a side to the sine of its opposite angle is constant for all sides and angles in a triangle.

The Law of Sines can be expressed as:

a/sin(A) = c/sin(C)

where a is the length of side a, A is the measure of angle A, c is the length of side c, and C is the measure of angle C.

Angle A (m∠A) = 45°

Side c (c) = 17

Angle B (m∠B) = 25°

We need to find the length of side a.

Using the Law of Sines:

a/sin(45°) = 17/sin(25°)

To find a, we isolate it by multiplying both sides of the equation by sin(45°):

a = 17 * (sin(45°) / sin(25°))

Using a calculator to evaluate the expression:

a ≈ 24.3

Therefore, the length of side a is approximately 24.3 (to the nearest tenth).

The correct answer is:

B. 24.3

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