Solve this system of equations usingthe substitution method.y = x + 9y = - 4x – 6-

Answer:

The correct option is B

Leroy reads 22.5 pages in 30 minutes

At the rate of 3 pages in 4 minutes

Explanation:

Given that Sam reads 30 pages of books in 40 minutes, he reads at the rate of 3 pages in 4 minutes (3/4 = 0.75).

To know which of the options has the same rate as Sam's, we need to find which rate is equal to his'

A. Francine reads 40 pages in 55 minutes

Rate = 40/55 = 8/11

B. Leroy reads 22.5 pages in 30 minutes

Rate = 22.5/30 = 0.75

C. Paul reads 150 pages in 3.25 hours. Since 3.25 hours = 195 minutes

Rate = 150/195 = 0.77

D. Bill reads 60 pages in 2 hours

Rate = 60/120 = 0.5

The area A of the circle whose radius is 10 can be calculated by given equation A =pi r^2 is 314.2 cm^2.

What is area?

Area is the entire amount of space occupied by a flat (2-D) surface or an object's shape.

If we draw a square using a pencil on a sheet of paper. It will have two dimensions. The area of a shape on paper is the area that it occupies and it will be called as area of that square.

For getting the area of the circle we need to put the value of r in the given equation:

r = 10 cm

Putting the value of pi and r in the equation:

A = pi r^2

A = 3.142 (10)^2

A = 3.142 (100)

A = 314.2

Therefor the area of the circle calculated by given equation is 314.2 cm.

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Complete question

A circle of radius r has area A, where A =pir^2, calculate the area of circle whose radius is 10 cm.

Answer:"There are 24 ​pennies, 21 ​dimes, and 29 quarters", so there are 25+21+29 = 75 coins so far. This is the amount of coins that aren't nickels. The rest are nickels, which is some amount n. This adds to the 75 to get 75+n. Set this equal to 92 because there are 92 coins in all. That's how we end up with 75+n = 92.

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Extra info

The equation 75+n = 92 is the same as n+75 = 92. Subtract 75 from both sides to isolate n. You should get n = 17 after doing so.

Step-by-step explanation:

Since the list price is $39.95

Since the series of discounts 20/10/10

Then we will find the new price by this way

Since the first discount is 20%, then

The new price will be 80% of 39.95

Since the second discount is 10%

Then the new price is 90% of 31.96

Since the third discount is 10%

Then the new price is 90% of 28.764

Since the second option has only a 20/10 discount, then

The new price is 28.764

To find the difference subtract 25.8876 from 28.764

The difference = 28.764 - 25.8876

The difference = 2.8764

The answer is $2.8764

depending on the question but it's most likely 103

Step-by-step explanation:

Answer:

9 hours

Step-by-step explanation:

Given:

We're a given figure ABCD

∠ADB = x - 30

∠DBC = -9 - 6x

To find:

The value of x for which ABCD must be a parallelogram.

Step-by-step solution:

For ABCD to be a parallelogram, Its Alternate angles (Z - angles) must be equal.

Thus,

∠ADB = ∠DBC

x - 30 = -9 - 6x

7x = 21

x = 3

Final answer:

For ABCD to be a parallelogram, The value of x should be equal to 3.

To find the area of the complex figure, divide it into simpler figures and the areas of these. Then find the sum of these areas.

Now, find the area of each of the simpler figures, in these case, the rectangles:

Finally, find the sum of all these areas to find the area of the figure:

The area of the figure is 65.

The equation using slope intercept form would be...

[tex]y=-4x-17[/tex]

Hope this helps!

The number will be 1500

Given in the question:

A number is divided by 5, the result is 50 less than

and,  if the number had been divided by $6$.

To find the number.

Now, According to the question:

Let the number be x

x is divided by 5 = x/5

also, The number is divided by 6 = x/6

Here, The expression will be:

x/5 -  50 = x/6

30(x/5 - 50) = 30(x/6)

6x - 1500 = 5x

1500 = x

Hence, The number will be 1500 .

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(Number 5)

The given equation is:

This function represents the product of x and 2^x, therefore, to find the derivative, we will use the product rule.

When y = UV, dy/dx is given as:

In the equation y = x (2^x):

Substituting the U, V, dU/dx, and dV/dx into the given formula for dy/dx:

In probability, A is 8 out of 16 and C is 3 out of 15.

What is probability explain?

Out of the 17 counters in the bag 3 are yellow , 6 are red and the rest i.e., 17–3–6 or 8 nos.are green.

When selected randomly once one counter the probability of selecting one is

A. green is 8 out of 17 or 8/17 ,

B. getting a red one is 6 out of 17 or 6/17.

C. getting a yellow is 3 out of 17.

This is when the counter is put back in the bag for selecting.

If the selected one is not put back remaing counters are less by one each time it's drawn and then the probability figure is one out of 16 in the second case and one out of 15 for the third draw ime., then A is 8 out of 16 and C is 3 out of 15.

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Based on the dimensions of the blueprint of the house, the area of the actual living room can be found to be 735 ft²

The first thing to do is to convert the dimensions on the blueprint to their actual figures.

If 1 inch on the blueprint is 7 feet, then the actual dimensions are:

= 3 inches x 7

= 21 feet

Dimension B:

= 5 inches x 7

= 35 feet

The area can then be found by:

= Dimension A x Dimension B

= 21 x 35

= 735 ft²

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The equation given is,

The y-intercept is determined when x coordinate is zero.

Substitute x equals to 0 in the equation,

Thus, the ordered pair of y-intercpet is,

The correct option is c.

Answer:

[tex](0,-\frac{11}{3} ),(1,-\frac{4}{3} ),(2,1)[/tex]

Step-by-step explanation:

Given Equation:

Required:

Steps:

Subtract 7x from both sides of the equation.

-3y = 11 - 7x

Divide each term in -3y = 11 - 7x by -3 and simplify.

-3y/-3 = 11/-3 + -7x/-3

Simplify the left side.

Cancel the common factor of -3.

-3y/-3 (canceled) = 11/-3 + -7x/-3

Divide y by 1.

y = 11/-3 + -7x/-3

Simplify the right side.

Simplify each term.

Move the negative in front of the fraction.

y = -11/3 + -7x/-3

Dividing two negative values results in a positive value.

y = -11/3 + 7x/3

Choose any value for x that is in the domain to plug in to the equation.

Choose 0 to substitute in for x to find the ordered pair.

Remove parentheses.

y = -11/3 + 7(0)/3

Simplify  -11/3 + 7(0)/3.

⇒ Combine the numerators over the common denominator.

y = -11/3 + 7(0) / 3

Simplify the expression.

y = -11 + 0/3

y = -11/3

y = -11/3

Use the x and y values to form the ordered pair.

(0, -11/3)

Choose 1 to substitute in for x to find the ordered pair.

Remove parentheses.

y = -11/3 + 7(1)/3

Simplify -11/3 + 7(1)/3.

Combine the numerators over the common denominator.

y =  -11/3 + 7(1)/3

Simplify the expression.

Multiply 7 by 1.

y = -11 + 7/3

Add -11 and 7.

y = -4/3

Move the negative in front of the fraction.

y = -4/3

Use the x and y values to form the ordered pair.

(1, -4/3)

Choose 2 to substitute in for the x in the ordered pair.

Remove parentheses.

y = -11/3 + 7(2)/3

Simplify -11/3 + 7(2)/3.

Combine the numerators over the common denominator.

y =  -11/3 + 7(2)/3

Simplify the expression.

Multiply 7 by 2.

y = -11 + 14/3

Add -11 and 14.

y = 3/3

Divide 3 by 3,

y = 1

Use the x and y values to form the ordered pair.

(2, 1)

These are three possible solutions to the equation.

(0, -11/3), (1, -4/3), and (2,1)

Thanks,
Eddie

The equation of the function g(x) is -√(x-7).

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20%

1) Analyzing that Pareto Chart, we can tell that the percentage of students enrolled in a private-4 year college is indicated by the height of the bar and the corresponding value for its vertical axis

2) Therefore, the answer is 20%

Given the figure of the circle B

the radius of the circle = r = BC = 9

the measure of the angle CBD = 40°

We will find the length of the arc CD

The length of the arc is given by the formula:

where: θ is the central angle opposite to the arc measured in radians

so, we will convert the given angle from degree to radian

Substitute with the given values

so, the length of the arc =

So, the answer will be:

The length of the arc CD = 2π

The value of [tex]m^{8} m^{-6}[/tex]  after simplification is [tex]m^{2}[/tex].

According to the question,

We have the following expression:

[tex]m^{8} m^{-6}[/tex]

Now, please note that there are some rules for simplifying expressions with powers. For example, powers are added if the base of the terms in the multiplication are the same. And if the base of the terms are same but they are in division then the powers are subtracted.  

In this case, the base is same (m) and the terms are in multiplication.

So, we are supposed to add their powers.

Now, we have the following expression:

[tex]m^{(8-6)}[/tex]

[tex]m^{2}[/tex]

Hence, the value after solving the given expression is [tex]m^{2}[/tex].

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So, we know BC is parallel to EF and 1 is congruent to 3.

Angles between parallel lines have special relationships. The relationships between 2 and 3 is that they are Same-side Interior Angles. This means that angles on the same line, formed by parallel lines intersecting that line (and the angles are on the same side of their respective line) are congruent. So, 2 and 3 are congruent... But by the transitive property, if 1 = 3 and 3 = 2... 1 = 2! And if 1 = 2, they are also Same-side interior angles and thus, the lines they lie on are parallel! So, since 1 and 2 are congruent, AB is parallel to DE.

Answer:

See below.

Step-by-step explanation:

Corresponding Angles Postulate

When a straight line intersects two parallel straight lines, the resulting corresponding angles are congruent.

[tex]\begin{array}{c|c}\sf Statement & \sf Reason\\\cline{1-2} BC \parallel EF & \phantom{\dfrac11}\sf Given\\\\\angle 2=\angle 3 & \textsf{Corresponding Angles Postulate}\\\\\angle 1=\angle 3 & \sf Given\\\\\angle 1=\angle 2 & \textsf{Transitive property of equality}\\&(\angle 2=\angle 3 \; \textsf{and} \; \angle 1=\angle 3)\\\\AB \parallel DE & \textsf{Corresponding Angles Postulate}\\& \textsf{as} \;\angle 1=\angle 2\end{array}[/tex]

As DE intersects the two parallel lines BC and EF, ∠2 is congruent to ∠3 (corresponding angles postulate).

As ∠1 = ∠3 and ∠2 = ∠3, then ∠1 = ∠2 (transitive property of equality).

Therefore, as ∠1 and ∠2 are congruent, AB and DE must be parallel (BC is the transversal).

Yes, The train does not always go the same distance each minute.

Given,

A train travels from City A to City B.

The distance and the amount of time it takes on the  train is

Distance (km)                        Time (in minutes)

6                                                      2

9                                                      3

14                                                     7

Now According to the question:

Does the train go the same distance each minute?

In order to determine if the train travels the same distance each minute, the average speed of the train has to be determined. Average speed is the total distance travelled per time.

Average speed = total distance / total time

Hence Yes, The train does not always go the same distance each minute.

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⇒When we round to the nearest integer we are to round to the nearest whole

⇒We look at the first term after the comma which is  in the tenths place.

⇒In this case it is 1 does it allow me to round up or down?

It allows me to round down meaning the integer will be 0

Step 1

From the image;

Hence;

The triangles also share similar angles therefore the answer will be;

Answer:

Transformed equation: 6(x-9)³ - 3

Step-by-step explanation:

Answer:

6(x - 9)^3 - 3

Step-by-step explanation:

1. Vertical Stretching : f(x) -> g(x): [tex]g(x) = 6x^{3}[/tex]

2. Horizontal Move: g(x) -> h(x): [tex]h(x) = 6{(x - 9)}^{3}[/tex]

3. Vertical Move: h(x) -> F(x): [tex]F(x) = 6{(x - 9)} ^{3} - 3[/tex]

Answer:

$3375

Step-by-step explanation:

3 3/4 ÷ 1/2

=15/4 × 2/1

=7 1/2

7 1/2 multiply by carpet cost

7 1/2 × 450

= $3375

(your 3rd and 4th option in the multiple choice are the same btw)

Answer:

4.3

Step-by-step explanation:

The sum  [tex]S_4[/tex] = 80

How is the summation calculated?

[tex]S_4= \sum_{k=1}^{4} 2(3^{n-1}) \\\\= 2 \sum_{k=1}^{4} (3^{n-1})\\\\=2[3^{1-1}+3^{2-1}+3^{3-1}+3^{4-1}]\\\\=2[3^{0}+3^{1}+3^{2}+3^{3}]\\\\=2[1+3+9+27]\\\\=2 [40]\\\\=80[/tex]

What is summation?

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Answer:

A''(3, 2), B''(-1, 4), C''(2, 0)

Step-by-step explanation:

For the first step, negate the y coordinate.

For the second step, add 4 to the x coordinate and 5 to the y coordinate.

[tex]A(1,-3) \longrightarrow A'(-1, -3) \longrightarrow A''(3, 2) \\ \\ B(5,-1) \longrightarrow B'(-5,-1) \longrightarrow B''(-1, 4) \\ \\ C(2, -5) \longrightarrow C'(-2, -5) \longrightarrow C''(2, 0)[/tex]

Answer:

18oz for 6.30 is the cheapest

Step-by-step explanation:

0.35$ per oz

0.38$ per oz

0.37$ per oz

:]

Through the knowledge and trigonometry, we have :

1. Since a circle's circumference is 360 degrees or two pi radians, a radian is equivalent to 180 degrees. Since radians require knowledge of higher mathematics and contain tangents, sines, and cosines, which are taught in college, they are not as frequently employed in measuring circles and angles as degrees.

2. The measurement of the lowest, positive, acute angle t created by the angle's terminal side is known as the reference angle, t the horizontal axis, too. As a result, positive reference angles can be used as models for angles in other quadrants because their terminal sides are in the first quadrant.

In the 1st Quadrant, All the trigonometric functions are positive,

[tex]t^{'} =t[/tex]

In the 2nd Quadrant. Only Sin is positive,

[tex]t^{'} = 180-t[/tex]

So, [tex]cost^{'} = Cos(180-t) = -Sint[/tex]

3. Secant is the Inverse of Cos and Cosecant is the Inverse of Sine, Hence they are :

[tex]Secant \alpha = \frac{hypotenuse}{base}\\ Cosecant \alpha = \frac{hypotenuse}{perpendicular}[/tex]

4. The x-coordinate is the central angle's adjacent side, while the y-coordinate is its opposite side.

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