convert 4307 rads / 1 second into inches/sec

We need unit price per mile

Spare way

But we can solve it through ratios if time is same

Answer:

$44.10

Step-by-step explanation:

Given:

To find the cost per mile, divide the total given cost by the given number of miles:

⇒ Cost per mile = $57.60 ÷ 64 = $0.90

To find the cost of a 49 mile tax ride, multiply the cost per mile by 49:

⇒ Cost of 49 mile tax ride = $0.90 × 49 = $44.10

We can use ratios of cost to miles to find the solution.

Let x = cost of a 49 mile taxi ride

\(\begin{aligned}\sf \$57.60:64 & = \sf x:49\\\sf \dfrac{57.6}{64} & =\sf \dfrac{x}{49}\\\sf 57.6(49) & = \sf 64x\\\sf 2822.4 & = \sf 64x\\ \sf x&= \sf \dfrac{2822.4}{64}\\ \sf x & = \sf \$44.10\end{aligned}\)

Answer: (3,-3)

Step-by-step explanation:

Answer:

Problem 21:

Slope = -3
y-intercept = (0, 7)

Problem 23:

Slope = 1
y-intercept = (0, -2)

Problem 22:

Slope = \(\frac{2}{3}\)
y-intercept = (0, 1)

Step-by-step explanation:

In the slope formula, the coefficient of x (the number times x) is the slope. The number added or subtracted from it is the y-intercept.

In problem 21, -3 is the coefficient of x, so thats the slope. 7 is what's being added, so that is the y-intercept.

In problem 23, 1 is the coefficient of x (a singular x is the same as 1, or -1 if the variable is negative), so thats the slope. -2 is what's being subtracted, so that is the y-intercept.

In problem 22, \(\frac{2}{3}\) is the coefficient of x, so thats the slope. 1 is what's being added, so that is the y-intercept.

hope this helps!

The equation is accurate. A line's slope and y-intercept are expressed in the form y is mx + c, where m is the slope and c is the y-intercept.

A line's slope and y-intercept are expressed in the form y = mx + c, where m is the slope and c is the y-intercept.

y = (3/2)x + 1 is the given equation for the line.

Add x = 0 to the above equation, y = (3/2)(0) + 1 y = 1, to determine the line's y-intercept.

Take note that the line's graph's y-intercept is also 1.

The line's graph includes points (2,4).

Put the coordinates of the location into the above equation to see if it matches the coordinates of (2,4) or not:

4 = (3/2)(2) + 1

4 =4

The equation is accurate.

Consequently, it can be claimed that the following equation reflects the graph.

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Answer:

$15.48

Explanation:

100 ÷ 6.46 = 15.479876

Answer:5

Step-by-step explanation:

Answer:

no solutions

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

equation of blue line is y = x + 2 , in slope- intercept form

with slope m = 1

equation of red line is y = x - 3 , in slope- intercept form

with slope m = 1

• Parallel lines have equal slopes

then the blue and red lines are parallel.

the solution to the system is at the point of intersection of the 2 lines

since the lines are parallel then they do not intersect each other.

thus the system shown has no solution.

Answer:

D

Step-by-step explanation:

m=y2-y1/x2-x1

23-3=20

11-1=10

20/10=2 the slope is two

to find the y-intercept we need to use the equation y=m(x)=b

23=2(11)=b

2*11=22

23-22=1

1=b

it seems like all of the examples have the same slope and y-intercept so it's all the above.

hope this helps :3

The amount of the investment after 8 years will be, $4,357.64

Given, $500 is invested in an account earning 7% interest compounded quarterly.

We have to find the value of the invested amount after 8 years,

as, Amount = P(1 + r/100)^t

where, P is the amount of money invested, r is the rate of interest and t is the amount of time

Amount = 500(1 + 7/100)^(8×4)

Amount = 500(1.07)^32

Amount = 500×8.715

Amount = 4,357.635

So, the amount of the investment after 8 years will be, $4,357.64

Hence, the amount of the investment after 8 years will be, $4,357.64

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Answer: D.

hope this helps

Answer:

1.0

2.-5

3.8,13,18

Step-by-step explanation:

1. 0

2. -5

3. 8,13,18

The area of triangle ADE is,

⇒ A = 48 square units

We have to given that,

In the diagram , DE is a midsegment of triangle ABC.

And, The area of triangle ABC is 96 square units

Now, We know that,

Since DE is a midsegment of triangle ABC, it is parallel to AB and half the length of AB. Therefore, DE is half the length of AB.

Hence, the area of triangle ADE is half the area of triangle ABC,

That is,

A = 96 / 2

A = 48 square units

Thus, The area of triangle ADE is,

⇒ A = 48 square units

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Answer: 22

Step-by-step explanation:

The linear equation to determine the cost to ship 8 packages is x=22.

Given that, Jeff's shipping service charges $8 for the first package and $2 for each additional package.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form linear equation is Ax+B=0.

Let the total charge be $x.

Now, x=8+(8-1)2

⇒x=8+14

⇒x=22

Therefore, the linear equation to determine the cost to ship 8 packages is x=22.

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Answer:

25 transwind

Step-by-step explanation:

the wind speed in your country is probably 4cm and in the next six hours is going to change to carbon dioxide speed which is 25 transpiring

Answer:

the mean is 7.2 and the median is 8

Step-by-step explanation:

when you add up all the data you will get 36 which you divide by 5 since there are 5 different values.This will result to 7.2 as your final answer .Whereas for the median out of the 5 numbers the median would be the 3rd number which when you order them from smallest to largest it would be 8.

Answer:

The answer is (19,12)

The length of a 45° arc with a radius of 4 miles is approximately 3.14 miles, calculated using the formula for arc length.

To determine the length of a 45° arc given a radius of 4 miles, we can use the formula: Arc length = (angle measure / 360°) x 2πr, where r is the radius of the circle and π is a constant equal to approximately 3.14.

Substituting the given values into the formula, we get: Arc length = (45° / 360°) x 2π(4 mi)Arc length = (1/8) x 2π(4 mi)Arc length = (1/8) x 8π Arc length = π

The length of the 45° arc is approximately 3.14 miles.

Summary: To find the length of a 45° arc of a circle, we use the formula: Arc length = (angle measure / 360°) x 2πr. Given a radius of 4 miles, we can substitute the values into the formula to get the length of the 45° arc, which is approximately 3.14 miles.

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After solving the expression, the value is negative 7 over 24 times k plus negative 6. Therefore, option C is correct.

Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both. Adding, subtraction, multiplying, and division are all reflection coefficient operations.

A mathematical operation such as reduction, addition, multiplication, or division is used to integrate terms into an expression.

As per the given statement for the expression,

-(5/8)k - 8 + 2 + (1/3)k

Take LCM as 24 and solve the equation,

(-7k - 144) / 24

= (-7/24)k - 6

Therefore, this concludes that option C is correct.

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Based on the proportionate ratios of 1:6, the number of overs bowled if 120 balls are bowled is 20.

Proportion describes two ratios equated to each other.

Proportional values are like fractional values and can be depicted in percentages or fractions.

The ratio of one over and balls bowled = 1:6

This implies that for every 6 balls being bowled, one goes over.

Proportionately, for 120 balls bowled, the number of overs will be = 20 (120/6 x 1)

Thus, if one over consists of 6 balls being bowled, proportionately, the number of overs bowled if 120 balls are bowled is 20.

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In Jameson's drawing, the nose cone has an area of 5 square inches. Each of the fins has an area of 3 square inches and the total area of the drawn rocket is 22 square inches.

From the question, we have the following parameters that can be used in our computation:

The drawing (see attachment)

The area of the nose cone is

Area = 1/2 * 5 * 2

Area = 5 square inches

For the fin, we have

Fin = 1/2 * 3 * 2

Fin = 3 square inches

Lastly, we have

Total area = (4 + 2 + 1) * 2 + 5 + 3

Total area = 22 square inches

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Note that the table of budget is attached accordingly, and steps 1-4 have been completed. See the table.

4) Since the emergency fund for that month was $200, it means that they are in the short for $105. They can only affod it if they take from their savings.

5) they had a balance of $800 for the month. This is miscellaneous funds. They can make use of this for the trip to NASA. This way, they won't have to touch the savings or entertainment.

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Full Question:
See attached image.

Reflect

4. Analyze Relationships One month, the family must make an

emergency car repair for $305. Are they able to pay for it out of the

fixed emergency fund for that month? If not, how can they afford it?

5. The family wants to make a trip to Houston to visit the NASA Space

Center. What are some ways they can save without using all of the

allotted $160 for entertainment

The man still owes R87,726 in taxes.

To calculate the tax amount the man still owes, we need to determine his taxable income first.

Gross income: R500,000

Less: PAYE deductions (17% of gross income): R500,000 * 0.17 = R85,000

Taxable income: R500,000 - R85,000 = R415,000

Next, we can use the tax table information provided to calculate the tax owed based on the taxable income.

Tax owed: R93,135 + 36% of (taxable income - R393,200)

Tax owed: R93,135 + 0.36 * (R415,000 - R393,200)

Tax owed: R93,135 + 0.36 * R21,800

Tax owed: R93,135 + R7,848

Tax owed: R100,983

Finally, we subtract the rebate amount of R13,257 from the tax owed to find the amount the man still owes.

Tax owed - Rebate: R100,983 - R13,257 = R87,726

Therefore, the man still owes R87,726 in taxes.

The correct option is not provided among the given answer choices.

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The solution of the system of equations is (2, 4, 5)

The given equations are :

3x+10y-12z = 40    equation(1)

x-5y = 0     equation (2)

x-4z = 0      equation(3)

From 2nd equation, x -5y = 0, 5y = x, y = x/5

From 3rd equation, x -4z = 0, 4z = x, z = x/4

Putting the values of y and z in equation (1), we get :

\(3x +10y -12z = 40\\\\3x +10*\frac{x}{5} -12*\frac{x}{4} = 40\\\\3x +2x -3x =40\\\\2x = 40\\\\x = \frac{40}{2} = 20\)

Now, putting the value of x = 20 to evaluate y and z, we have,

y = 20/5 = 4

and z = 20/4 = 5

Hence, the solution of the system of equations is (2, 4, 5)

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\(\qquad \qquad \textit{inverse proportional variation} \\\\ \textit{\underline{y} varies inversely with \underline{x}} ~\hspace{6em} \stackrel{\textit{constant of variation}}{y=\cfrac{\stackrel{\downarrow }{k}}{x}~\hfill } \\\\ \textit{\underline{x} varies inversely with }\underline{z^5} ~\hspace{5.5em} \stackrel{\textit{constant of variation}}{x=\cfrac{\stackrel{\downarrow }{k}}{z^5}~\hfill } \\\\[-0.35em] ~\dotfill\)

\(\stackrel{\textit{"y" varies inversely with "x"}}{y = \cfrac{k}{x}}\hspace{5em}\textit{we also know that} \begin{cases} x=4\\ y=16 \end{cases} \\\\\\ 16=\cfrac{k}{4}\implies 64 = k\hspace{9em}\boxed{y=\cfrac{64}{x}} \\\\\\ \textit{when x = 32, what's "y"?}\qquad y=\cfrac{64}{32}\implies y=2\)

Answer:

The equation for this line is (P(x,y)----> P'(2h-x,2k-y), hence h=3 and k=1/2

Step-by-step explanation:

P(x,y)----> P'(2h-x,2k-y)

P(-4,-4)---->P'(8,5)

Now comparing the corresponding sides;

2h+4=8

2h=8-4

2h=4

h=2

Again,

2k-y=5

2k+4=5

2k=5-4

2k=1

k=1/2

Now, checking the answer:

P(-4,-4)----->P'{2*2-(-4),2*1/2-(-4)}

=P'(4+4,1+4)

=P'(8,5)

Answer: 73 degrees and 107 degrees.

Step-by-step explanation:

The total of supplementary angles are 180 degrees. So you add 2x+3 and 3x+2. Then you get 5x+5=180.

Subtract 5 from both sides. Now the equation is 5x=175.

Divide 5 on each side. x=35

Replace x with 35 in the equations. The angles are 73 and 107.

They both add up to 180 degrees so it is correct.

Answer:

4.8 hours

Step-by-step explanation:

6=10$

divide by 10

0.6=1$

multiply by 8

4.8=8$

Answer:

4.8

Step-by-step explanation:

Well, if you work for 6 hours, and earn 10$, then, you are earning 10/6$ per hour. So, we can estanblish the equation:

10/6$ * x hours = 8$.

x = 4.8 hours.

Therefore the value of x is 2.

Given 2²ˣ ⁺ ¹ + 2ˣ ⁺ ² = 12 * 2ˣ

2²ˣ ⁺ ¹ + 2ˣ ⁺ ² = 12 * 2ˣ

We can write this as follows

aˣ ⁺ ⁿ = aˣ * aⁿ

2²ˣ * 2 + 2ˣ * 2² = 12 * 2ˣ

2ˣ * 2ˣ * 2 +  2ˣ * 2² = 12 * 2ˣ

By taking common terms aside we get

2ˣ * 2 (2ˣ + 2) = 12 * 2ˣ

By canceling the like terms we get

2ˣ + 2 = 6

2ˣ = 6 - 2

2ˣ = 4

2ˣ = 2²

∴ x = 2

Therefore the value of x is 2.

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