Rose lives 3/4 of a mile from her cousin. One day she rode her bike to her cousin's house. When she got 2/5 of the way there, her bike chain broke and she had to walk the rest of the way. What part of a mile did Rose go on her bike before it broke?

Answer:

(a - b)(5x - 2y)

Step-by-step explanation:

Given

5x(a - b) - 2y(a - b) ← factor out (a - b) from each term

= (a - b)(5x - 2y) ← in factored form

The polynomial 5x(a-b)-2y(a-b) can be factored into (a-b)(5x-2y). This is achieved by taking out the common factor of (a-b) from both terms.

To factor the polynomial

5x(a-b)-2y(a-b)

, you first notice that the terms have a common factor, (a-b). Factoring is a process where you write the expression as a product of its factors. In this case, you can pull out the common factor from both terms. This leaves you with

(a-b)(5x-2y)

. So, the factored form of the given polynomial is (a-b)(5x-2y). By applying the distributive property, you can check your work: (a-b)*5x gives the first term and (a-b)*(-2y) gives the second term, confirming the factored form is correct.

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Answer:

Amount of potteries sold at $9.50 is 30

And that of $6.50 is 65 potteries

Step-by-step explanation:

Kindly refer to the attached image for explanations

Answer:

1/3

Step-by-step explanation:

3/9 = 1/3

Answer:

Perpendicular

Step-by-step explanation:

Parallel lines have equal slopes.

The product of perpendicular slopes = - 1

Calculate the slopes of u and v using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 51, 65) and (x₂, y₂ ) = (- 46, 96)

m = [tex]\frac{96-65}{-46+51}[/tex] = [tex]\frac{31}{5}[/tex]

Repeat with (x₁, y₁ ) = (- 37, 85) and (x₂, y₂ ) = (- 6, 80)

m = [tex]\frac{80-85}{-6+37}[/tex] = - [tex]\frac{5}{31}[/tex]

Since [tex]\frac{31}{5}[/tex] × - [tex]\frac{5}{31}[/tex] = - 1

Then the lines are Perpendicular

Answer:

All correct ones:

18in. x 36in. 1yrd.

18in. x 1ft 12in. x 1yrd 3ft

Step-by-step explanation:

The correct expressions to convert 18 inches into yards are:

18 in ⨉ 1yd/36 in. Thus, option a is correct.

Measurement conversion refers to the process of changing a quantity from one unit of measurement to another unit of measurement.

The first expression uses the conversion factor of 1 inch = 1/36  yards

Then, 18 inches = 18 × 1/36 yards  

or,

18 in ⨉ 1yd/36 in

The correct expressions to convert 18 inches into yards are:

18 in ⨉ 1yd/36 in. Thus, option a is correct.

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Complete question:

Answer:

x=2

Step-by-step explanation:

12x^2+5x-4 = 12x^2+6

Subtract 12x^2 from each side

12^x2-12x^2+5x-4 = 12^2x-12x^2+6

5x-4 = 6

Add 4 to each side

5x-4+4 = 6+4

5x = 10

Divide each side by 5

5x/5 = 10/5

x = 2

Answer:

IT EQUALS 2

Step-by-step explanation:

Answer:

[tex]26\sqrt{3}[/tex]

Step-by-step explanation:

We want to find [tex]4\sqrt{3} +11\sqrt{12}[/tex]. [tex]11\sqrt{12}[/tex] can be written as [tex]11\sqrt{4*3}=11*\sqrt{4} *\sqrt{3}=11*2*\sqrt{3}=22\sqrt{3}[/tex], so we can now write our original equation as: [tex]4\sqrt{3}+22\sqrt{3}[/tex].

We can combine like terms: [tex]4\sqrt{3}+22\sqrt{3}=26\sqrt{3}[/tex]

Hope this helps!

Answer:

17 radical 3

Step-by-step explanation:

4(rad)3+11(rad)12

factor 12 into 13(rad)3

add 11 and 13 now that they have the same radical

keep inside rad of 3 and put 17 on the outside bc 4+13...

Answer:

[tex](A) B=\pi (12.1)^2[/tex]

Step-by-step explanation:

Given a cylinder with the following dimensions

Radius of the Cylinder =12.1 cm

Height of the Cylinder =3.8cm

Volume of a cylinder = Base Area X Height

The base area is a circle, therefore the expression that can be used to find the value of B, (in square centimeters), for this cylinder is given as:

[tex]Base Area =\pi r^2\\B=\pi (12.1)^2[/tex]

The correct option is A. (12.1)  expression can be used to find the value of B, in square centimeters, for this cylinder.

To find the value of B, which represents the area of the base of the cylinder, we can use the formula for the volume of a cylinder, V = Bh, where V is the volume, B is the area of the base, and h is the height.

We are given the volume V = 12.1 cm³ and the height h = 8 cm.

We can rearrange the formula to solve for B:

[tex]\[ B = \frac{V}{h} \][/tex]

Substituting the given values:

[tex]\[ B = 1.5125 \text{ cm}^2 \][/tex]

Since the volume and height are both given in centimeters, the unit for B will be in square centimeters.

The expression that can be used to find the value of B is indeed the volume divided by the height, which simplifies to the given volume of 12.1 cm³ divided by the height of 8 cm, resulting in [tex]\( B = \frac{12.1}{8} \) or \( B = 1.5125 \).[/tex]

 Therefore, the expression to find the value of B, in square centimeters, for this cylinder is [tex]\( B = \frac{12.1}{8} \),[/tex] which is option A. (12.1).

Answer:

351

Step-by-step explanation:

Calculate the numbers on a calculator (6.77*7*7.4) and you'll get the answer 350.686. With that number, round the 600 up (makes the 0 in 350 to 1) which will give you the new number of 351. Hope this helps.

Answer:

73

Step-by-step explanation:

this is the answer bc it is near a 90 degree angle but not there yet but close

Final answer:

To solve the equation log10x = 4, we convert it to its exponential form, which is 10^4 = x. By doing the calculation, we find that x equals 10,000. This value is the inverse log of the number 4.

Explanation:

To solve the equation log10x=4, we need to understand that this is a common logarithmic equation where the base of the logarithm is 10. The equation essentially asks what power we must raise 10 to in order to get x. In this case, the power is 4.

According to the properties of logarithms, we can rewrite the equation in its exponential form which is 10^4 = x. So, x = 10,000.

This value of x is obtained by taking the inverse log of 4 or calculating 10^4 using a calculator, which yields the result 10,000. Therefore, x = 10,000 is the solution to the equation log10x = 4.

Answer:

Step-by-step explanation:

yes it is a geometric sequence

a1=3

r=-3/3=-1

Answer:

y = 3

Step-by-step explanation:

This is a constant function

y = 3

The equation of a line can be predicted easily if two points are given. Thus, the equation of the required line is [tex]\bold{y=4}[/tex].

We need to determine the equation of the line with the help of the given graph.

Now, take two points from the graph. The points are ( 1, 4 ) and ( 2, 4 ).

The if a line passed through the two points say [tex](x_1,y_1)\;\rm{and}\;(x_2,y_2)[/tex], then the equation of the line can be formulated as:

[tex](y-y_1)=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

Therefore, apply the formula and solve it further.

[tex]\begin{aligned} (y-4)&=\dfrac{4-4}{3-2}(x-1)\\y-4&=0\\y&=4 \end{aligned}[/tex]

Thus, the equation of the line is [tex]\bold{y=4}[/tex]

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Answer:

Sin A = 1/2 means taking the inverse of Sin which is arcsin and then solving for A.

Do the same thing for Cos A = 1/2. The inverse of Cos is arccos and then solve for A.

The answer is pi/3. Knowing the unit circle helps too.

Good luck!

If sin A is 1/2. Then the value of cos A will be √3 / 2.

The connection between the lengths and angles of a triangular shape is the subject of trigonometry.

If sin A is 1/2. Then the value of cos A will be

We know that

sin² A + cos² A = 1

Then we have

(1/2)² + cos²A = 1

cos² A = 1 - 1/4

cos² A = 3/4

cos A = √(3/4)

cos A = √3 / 2

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Answer:

32256 square inches

Step-by-step explanation:

Formula  

multiply the area value by 144

Answer:

True

Step-by-step explanation:

(10 x 2) x 3 = 60

10 x ( 2 x 3) = 60

They are the same. Order doesn't matter for multiplication.

Answer:

True

Step-by-step explanation:

10•2) •3 = 60

&

10•(2•3) = 60

The variables are rearranged, yet without the parentheses the outcome could be faulty.

I hope this was the brainliest answer & helped you better understand!

The required return for the market can be calculated using the Capital Asset Pricing Model (CAPM), which takes into account the risk-free rate, beta value, and market risk premium.

The required return for the market can be calculated using the Capital Asset Pricing Model (CAPM). The CAPM formula is:

Required Return = Risk-Free Rate + Beta * Market Risk Premium

In this case, the risk-free rate is given as 8%, and the market risk premium is given as 2%. To calculate the required return for the market, we need to know the beta value, which represents the stock's sensitivity to market movements.

Once we have the beta value, we can substitute it into the formula to find the required return for the market.

Final answer:

The required return for the market, when the risk-free rate is 8 percent and the market risk premium is 2 percent, is 10 percent according to the Capital Asset Pricing Model.

Explanation:

The student is inquiring about the concept of the required return of the market, which is a fundamental concept in finance related to the Capital Asset Pricing Model (CAPM). According to CAPM, the required return on a market portfolio (the market) is the sum of the risk-free rate and the market risk premium. In this case, with an 8 percent risk-free rate and a 2 percent market risk premium, the required return for the market would be the sum of these two figures, which equals 10 percent.

Answer:

Download photomath it's really helpful

Answer: f = 3

Step-by-step explanation:

3(6 - f) - 4 = 3f - 4

(Distribute the 3 on the left side)

18 - 3f - 4 = 3f - 4

(Combine like terms on the left (18 and -4))

14 - 3f = 3f - 4

(add 3f to both sides)

14 = 6f - 4

(Add 4 to both sides)

18 = 6f

(Divide by 6 on both sides)

3 = f

The only solution to the equation |x+1|+|x-2|=3 is x=2. To find this, we broke the problem into cases based on the nature of absolute values and verified the solution by substitution.

To solve the equation |x+1|+|x-2|=3, we need to consider the different cases due to the absolute value functions.

If x = 2, both x+1 and x-2 are non-negative, and our equation simplifies to x+1+x-2=3, which results in x=2.

If -1 \\leq x < 2, x+1 is non-negative, and x-2 is negative, so the equation becomes x+1-(x-2)=3, which is an identity and does not yield a solution.

If x < -1, both x+1 and x-2 are negative, so the equation becomes -(x+1)-(-x+2)=3, simplifying down to -1=3, which is false and cannot be a solution.

Therefore, the only solution is x=2. We can verify this by substituting back into the original equation. This is consistent with the properties of absolute value equations. Always verify your solutions to ensure they hold in the original equation.

Answer

-8/2

Step-by-step explanation:

Answer:

$0.06 per foot

Step-by-step explanation:

You can solve this by dividing 7 from 0.42.

$0.42 ÷ 7 = $0.06

Answer:

7 packages

Step-by-step explanation:

Tuesday:

To work this out you would first need to work out how many she has on Monday. First you would divide 63 by 9 to work out 1 ninth, which gives you 7. Then you would multiply 7 by  7 to work out 7 ninths, which gives you 49.

1) Divide 63 by 9.

[tex]63/9=7[/tex]

2) Multiply 7 by 7.

[tex]7*7=49[/tex]

3) She has 49 packages on Tuesday

Wednesday:

To work this out for Wednesday you would first divide 49 by 7 to work out what one seventh is, Which gives you 7. Then you would multiply 7 by 1, which gives you 7.

1) Divide 49 by 7.

[tex]49/7=7[/tex]

2) Multiply 7 by 1.

[tex]7*1=7[/tex]

3) She has 7 packages on Wednesday

Answer:

15.15

Step-by-step explanation:

Answer:

15.15

i worked it out on paper

Answer:

y = 4

Step-by-step explanation:

We have to use the distributive property. Remember that the distributive property states that when expanding out a parentheses, you must find the sum of the product of the "outside term" with each of the "inside terms".

In this case, the "outside term" is 3 and the "inside terms" are y and 4. So, we need to multiply 3 by each of y and 4 and then add those together:

3(y + 4) = 24

3 * y + 3 * 4 = 24

3y + 12 = 24

Now, we subtract 12 from both sides to isolate the variable:

3y + 12 - 12 = 24 - 12

3y = 12

Finally, divide by 3 from both sides to get y alone:

3y/3 = 12/3

y = 4

Thus, y = 4.

Hope this helps!

Answer:

y = 4

Step-by-step explanation:

3(y+4) = 24 <- This is a linear equation so its solved as such

3y+12 = 24 <- Distribute the (PEMDAS)

    -12    -12 <- Get y alone

     3y = 12 <- Rewrite with y alone

     [tex]\frac{3y}{3}[/tex] = [tex]\frac{12}{3}[/tex]  <- Divide both sides

      y = 4

Answer:

The correct net is attached.