What value of y makes the following equation true?
−12(−5y+4)=2+12y

Answer:

0.0306

Step-by-step explanation:

I don't know if there is any significance to both being drawn at the same time. I'm going to say there isn't.

The first draw gives

9/49

Their is no replacement. That's because both marbles are drawn together. The second draw is

8/48

P(both red) = 9/49 * 8 / 48 = 3/98 = 0.03061 which rounds to 0.0306

Answer:

-8-x=x-4x

-8-x=-3x

-8=-2x

4=x

Answer:

free robux!?!!?

Step-by-step explanation:

Answer:

r is the radius of the base and s is the slant height of the cone. From the options given, We can make s the subject of the formula. Hence: Option a) s equals StartFraction L A Over pi r EndFraction

Two equivalent equations are s = LA/πr and r = LA/πs

A cone is a shape formed using a series of line segments or lines that connect a common point, called a apex or vertex, to all points on the base of a circle that do not contain a vertex. The distance from the apex of the cone to the base is the height of the cone. A circular base has a measured radius value. And the length from the apex of the cone to any point around the base is the height of the slope. Equations for the surface area and volume of a cone can be derived from these quantities

Volume(V) = ⅓ πr²h cubic units

The total surface area of the cone = πrs + πr²

where, r is radius of the base, s is slant height and h is height of the cone

Given,

Lateral area of cone is denoted by LA

Lateral area of cone = πrs

where r is radius and s is slant height

⇒ LA = πrs

⇒ s = LA/πr

⇒ r = LA/πs

Hence, s = LA/πr and r = LA/πs are two equivalent equations in the given options.

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Answer:

No, not congruent

Step-by-step explanation:

Triangles cannot be considered congruent based on the fact that all 3 angles are congruent

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Answer:

45.7 Centimeters

Step-by-step explanation:

Hope this helped! :)

Answer:

4x + 7x - 2 + 5x - 10 = 180

16x - 12 = 180

16x = 192

x = 12

m<A= 4x = 4(12) = 48

m<B = 7x - 2 = 7(12) - 2 = 84 - 2 = 82

m<C = 5x - 10 = 5(12) - 10 = 60 - 10 = 50

Step-by-step explanation:

.

Answer:

You will have earned $113 in interest.

Step-by-step explanation:

After investing for 4 years at 3% interest, your initial investment of $900 will have grown to $1,013.

To find the amount you need to invest, we can use the formula for simple interest:

\(\displaystyle\sf \text{{Interest}} = \text{{Principal}} \times \text{{Rate}} \times \text{{Time}}\)

Here, the principal is the amount you need to invest, the rate is 3% (or 0.03 as a decimal), and the time is 4 years. We can rearrange the formula to solve for the principal:

\(\displaystyle\sf \text{{Principal}} = \frac{{\text{{Interest}}}}{{\text{{Rate}} \times \text{{Time}}}}\)

Plugging in the given values, we get:

\(\displaystyle\sf \text{{Principal}} = \frac{{900}}{{0.03 \times 4}}\)

Simplifying further:

\(\displaystyle\sf \text{{Principal}} = \frac{{900}}{{0.12}}\)

Calculating the division:

\(\displaystyle\sf \text{{Principal}} = 7500\)

Therefore, you will need to invest $7500 at 3% to have earned $900 in interest in 4 years.

The number 2/5 is both a ratio and a fraction.

The number 2/5 is both a ratio and a fraction. Fractions are meant to signify the numerator and denominator in an expression. in the above expression, we have the denominator as 5 and the numerator as 2.

The expression is also a ratio because it indicates the quantitative relationship between the figures.

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The graph of h(x) = (x-1)^2 - 9 is a U-shaped parabola that opens upwards, with the vertex at (1, -9), and it extends indefinitely in both directions.

The function h(x) = (x-1)^2 - 9 represents a quadratic equation. Let's analyze the different components of the equation to understand the behavior of the graph.

The term (x-1)^2 represents a quadratic term. It indicates that the graph will have a parabolic shape. The coefficient in front of the quadratic term (1) implies that the parabola opens upwards.

The constant term -9 shifts the graph downward by 9 units. This means the vertex of the parabola will be at the point (1, -9).

Based on this information, we can draw the following conclusions:

The graph will be a U-shaped curve with the vertex at (1, -9).

The vertex represents the minimum point of the parabola since it opens upward.

The parabola will be symmetric with respect to the vertical line x = 1 since the coefficient of the quadratic term is positive.

The graph will extend indefinitely in both directions.

To accurately plot the graph, you can choose several x-values, substitute them into the equation to find the corresponding y-values, and then plot the points on the graph. Alternatively, you can use graphing software or calculators that can plot the graph of the equation for you.

Remember to label the axes and indicate the vertex at (1, -9) to provide a complete representation of the graph of h(x) = (x-1)^2 - 9.

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The final answer for the surface area of the prism is 32 m^2 + 16h m^2.

To find the surface area of the prism, we need to calculate the area of each face and sum them up.

The prism has two identical square faces and four rectangular faces. The square face has a side length of 4 m. The area of one square face is given by:

Area of square face = side length^2 = 4^2 = 16 m^2

Since there are two square faces, the total area of the square faces is:

Total area of square faces = \(2 * 16 = 32 m^2\)

The rectangular faces have a length equal to the side length of the square face (4 m) and a width equal to the height of the prism. Let's assume the height of the prism is h. The area of one rectangular face is given by:

Area of rectangular face = length * width = \(4 * h = 4h m^2\)

Since there are four rectangular faces, the total area of the rectangular faces is:

Total area of rectangular faces = \(4 * 4h = 16h m^2\)

Therefore, the surface area of the prism is the sum of the areas of the square and rectangular faces:

Surface area of prism = Total area of square faces + Total area of rectangular faces

                          = \(32 m^2 + 16h m^2\)

                          = \(32 m^2 + 16h m^2\)

The answer for the surface area of the prism is 32 m^2 + 16h m^2.

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Answer: 6 columns

Step-by-step explanation: If there are 4 rows it should be 6 columns because 4 x6 equals 24, make me brainliest please

Answer:

answer is

k=2

Step-by-step explanation:

For this type of question let's use an equation that's are used to find the slope.

\(m = (y2 - y1) \div (x2 - x1)\)

Now, substitute the numbers we have,

\( \frac{1}{3 } = (4 - 3) \div ( 5 - k)\)

\( \frac{1}{3} = 1 \div (5 - k)\)

\( \frac{1}{3} = \frac{1}{5 - k}\)

\(5 - k = 3\)

\(k = 2\)

To check your answer,

m= 4-3/5-2

m=1/3

BOOM!

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Answer:

y=1

Step-by-step explanation:

When x= -4, y=1, i don't know how else to explain it. Find the y value of the graph at that point.

Answer:

y=1

Step-by-step explanation:

if we look at the graph at x-axis where x= -4 and go to meet the line graph , now look at the y -axis and see y= 1

Step-by-step explanation:

b) y=x+1

table:

_x _|_2x_|_y_|(x, y)|

0     |2(0)  |1     |(0, 1)|

1      | 2(1)  |2    |(1, 2)|

2     | 2(2) |3    |(2, 3)|

3     | 2(3) |4    |(3, 4)|

c) y=3x+2

_x _|_2x_|_y_|(x, y)|

0     |2(0)  |2     |(0, 2)|

1      | 2(1)  |5    |(1, 5)|

2     | 2(2) |8    |(2, 8)|

3     | 2(3) |14   |(3, 14)|

To graph, plot the x, y points and connect all of them

Answer:

$4.20 / gallon of gas (divide 16.80 by four gallons)

Step-by-step explanation:

please mark brainliest, give a thanks, and rate a five stars if this helped! feel free to ask anymore questions if you need any more help! thanks!

(lol optional): add my sc: tealyn337

Answer:

Number = 34

Step-by-step explanation:

We are looking for our mystery "number". I will call this number N.

We can find out what our equation looks like based on what the question tells us.

"three times a number" is 3N

"added to 2" is + 2

Which so far is 3N + 2

"divided by the number plus 5" is ÷ \({N+5}\)

Combined with the first two parts to give us (3N + 2) ÷ (N + 5)

"the result is eight third" So the above equation is equal to 8/3

Combining all these comments together to get the following equation

(3N + 2) ÷ (N + 5) = 8/3

Rearrange by multiplying both sides of the = by (N+5)

3N + 2 ÷ (N + 5) × (N + 5) = 8/3 × (N + 5)

Simplify

3N + 2 = 8/3 × (N + 5)

3N + 2 = 8N/3 + 40/3

Bring the N numbers to one side and the non N numbers to the other side, by subtracting 2 from both sides of the =

3N + 2 - 2 = 8N/3 + 40/3 - 2

Simplify

3N = 8N/3 + 34/3

and then subtracting 8N/3 from both sides

3N - 8N/3 = 8N/3 - 8N/3 + 34/3

Simplify

1N/3 = 34/3

Simplify for our final answer by multiplying both sides of the = by 3

1N/3 x 3 = 34/3 x 3

N = 34

Many of these steps can be skipped when solving for yourself but I wanted to be thorough

Answer:

The answer is 2 hope this helped!

Step-by-step explanation:

Answer: -7

Step-by-step explanation:

-2x+5=19

-5 |-5

-2x=14

-2x/-2 = 14/-2

x = -7

Answer:

Step-by-step explanation:

\(s=y, t = y- x^2\)

\(x^2=y-t\)

\(x=\sqrt{s-t}\)

\(y=0, y=16, y=x^2, and\\ y=x^2-5.\)

\(y-x^2=0,y-x^2=-5\)

therefore,

\(s=[(s,t)10\leq s\leq 16,-3\leq t \leq 0]\)

Taking partial derivatives

\(\frac{dx}{ds} =\frac{1}{2\sqrt{s-t} } \\\\\frac{dx}{dt} =\frac{1}{2\sqrt{s-t} } \\\\\frac{dy}{ds} =1\\\\\frac{dy}{dt} =0\)

\(\frac{\delta (x,y)}{\delta (s,t)} =\left|\begin{array}{ccc}\frac{1}{2\sqrt{s-t} } &-\frac{1}{2\sqrt{s-t} } \\1&0\end{array}\right|\)

\(=\frac{1}{2\sqrt{s-t} }\)

\(\int\limits \int\limits_R {x} \, dx \, dy=\int\limits\int\limits_s {x} \sqrt{s-t} |\frac{\delta(x,y)}{\delta (s,t)} |dsdt\)

\(=\int\limits^{16}_0\int\limits^0_{-5} \sqrt{s-t} \frac{1}{2\sqrt{s-t} } dt ds\)

\(=\frac{1}{2} \int\limits^{16}_0 ds\int\limits^0_{-5} \, dt \\\\=\frac{1}{2} [s]^{16}_0[t]^0_{-5}\\\\=\frac{1}{2} (16)(5)\\\\=40\)

The interest that they will they have to pay if it takes them 4 years and 3 months to repay the loan is $1377.

From the information, Isaac's parents borrow $3600.00 from the bank for new appliances for their kitchen and the simple interest rate is 9% per year.

Principal = $3600

Rate = 9%

Time = 4 years 3 months = 4.25

It should be noted that simple interest is calculated as:

= Principal × Rate × Time / 100

= (3600 × 9 × 4.25) / 100

= 137700 / 100

= $1377

Therefore, the interest is $1377.

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Answer:

43

Step-by-step explanation:

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The share base on the ratio are as follows:

A ratio compares values. A ratio says how much of one thing there is compared to another thing.

Therefore, lets use the ratios to share the items.

Share £20 pounds in the ratio 2:3

2 / 5 × 20 = 40 / 5 = 8

Therefore, the share is £8 to £12

Share 15cm in the ratio 1:2

1 / 3 × 15 = 15 / 3 = 5 cm

Therefore, the share is 5 cm to 10 cm

Divide £24 in the ratio 1:3

1 / 4 × 24 = 24 / 4 = 6

Therefore, the share is £6 to £18

Share 35 sweets in the ratio 4:3

4 / 7 × 35 = 20 sweets

Therefore, the share is 20 sweet to 15 sweet.

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Answer:

\(\sf x=2.7\)

using sine rule:

\(\hookrightarrow \sf sin\theta = \dfrac{opposite}{hypotenuse}\)

\(\hookrightarrow \sf sin(39)= \dfrac{1.7}{x}\)

\(\hookrightarrow \sf x= \dfrac{1.7}{sin(39)}\)

\(\hookrightarrow \sf x=2.7\)

Step-by-step explanation:

x=1.7/(sin39). (use trigonometric ratio)

x=2.7

9514 1404 393

Answer:

  y = -3/5x +27/5

Step-by-step explanation:

Since we want a parallel line, we can use the same x- and y-coefficients to find the new constant in the given form:

  -3(4) -5(3) = -12 -15 = -27

In the given form, the equation of the desired line is ...

  -3x -5y = -27

Solving for y, we have ...

  -5y = 3x -27

  y = -3/5x +27/5

The temperature of 30° is within one standard deviation of the mean.

To determine which temperature is within one standard deviation of the mean, we need to consider the range that falls within one standard deviation above and below the mean.

Given that the mean temperature is 24° with a standard deviation of 4°, one standard deviation above the mean would be 24° + 4° = 28°, and one standard deviation below the mean would be 24° - 4° = 20°.

Looking at the temperatures in the chart, we can see that the temperature of 30° is within one standard deviation of the mean. It falls within the range of 28° (one standard deviation above the mean) and 20° (one standard deviation below the mean).

Therefore, the temperature of 30° is within one standard deviation of the mean.

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Answer:

2•8n•8n•8n•8n

Step-by-step explanation:

8n is it's own separate number so the other three would not work

Answer:

x=2,x=4

So, the 6-meter side will be 2 centimeters and the 12-meter side will be 4 centimeters in the drawing.

Step-by-step explanation:

Solve for x by using cross multiplication

6=3x

x=2

12=3x

x=4

Answer:

A. base

Step-by-step explanation:

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Hence the output variable (total weekly earnings) is a function of the input variable (number of hours worked as a payroll clerk) and may be expressed by the equation y = 16x + 120.

A variable is anything that may be altered in the context of a mathematical notion or experiment. Variables are frequently denoted by a single symbol. .

a. Input variables: hours worked as a cashier, payroll clerk, and assistant.

The total amount earned each week is the output variable.

b. To determine the weekly total, multiply the number of hours worked at each job by the hourly rate and put them together. As a result, the equation would be:

Total weekly wage = (hours worked as a cashier x cashier hourly rate) + (hours worked as a payroll clerk x payroll clerk hourly rate) + (hours worked as an aide x rate per hour as an aide)

c. The amount of hours worked as an assistant is always 10 hours fewer than that of a payroll clerk. Therefore, if x denotes the number of hours worked as a payroll clerk, then the number of hours worked as an assistant may be denoted as (x - 10).

d. The equation describing the total money earned each week is as follows:

(20 x 9.5) + (x x 9) + ((x - 10) x 7) = y

This expression is simplified as follows:

y = 190 + 9x - 70 + 7x

y = 16x + 120

Hence the output variable (total weekly earnings) is a function of the input variable (number of hours worked as a payroll clerk) and may be expressed by the equation y = 16x + 120.

f. The realistic replacement values for x would be determined by the maximum number of hours you may work at each job as well as the amount of time available to work. Working 8 hours as a payroll clerk may be a reasonable substitute value if you have restricted availability, but 50 hours is unlikely.

g. If you do not work as an aide, you may calculate your total weekly income by setting the number of hours worked as an aide to zero in the calculation for the total amount earned each week. This results in:

y = 16x + 120 + 0

y = 16x + 120

As a result, the total weekly wage would be determined only by the number of hours performed as a cashier and payroll clerk.

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