Help? Please? This is algebra math

Answer:

C

Step-by-step explanation:

2m + 3m = 5m

9m - 5m = 4m

11m - 6m = 5m

Therefore, the expression 11m - 6m is equivalent to 2m + 3m

(as they both equal 5m)

Answer:

C. The expression 11m - 6m is equivalent to 2m + 3m.

Step-by-step explanation:

9m - 5m = 4m

11m - 6m = 5m

2m + 3m = 5m

Answer:

The amount of each person's profit is:

Mack

= $1160

Jason

= $725

Yuri

= $1015

Step-by-step explanation:

Mack, Jason, and Yuri invested a total of $14,500 in the stock market. After one year, they earned a profit equal to 1/5 of their investment Mack receives 2/5 of the profit, Jason Receives 1/4 of the profit, and Yuri receives the rest of the profitWhat is the amount of each person's profit?

Step 1

We calculate how much the profit is.

Mack, Jason, and Yuri invested a total of $14,500 in the stock market. After one year, they earned a profit equal to 1/5 of their investment

The profit = 1/5 of Investment

Hence = 1/5 × $14500

Profit = $2900

Step 2

We calculate the amount each of them receives.

Mack receives 2/5 of the profit,

= 2/5 × $2900

= $ 1160

Jason Receives 1/4 of the profit

= 1/4 × $2900

= $725

Yuri receives the rest of the profit

This is calculated as:

$2900 -($1160 + $725)

$2900 - $1885

= $1015

The amount of each person's profit is:

Mack

= $1160

Jason

= $725

Yuri

= $1015

Answer:

Step-by-step explanation:

Hope this helps u !!!

Given : The length of a rectangular garden is 4 feet longer than the width. If the perimeter is 192 feet, what is the area of the garden ?

Solution :

Let us assume the breadth be x

The length is 4 ft longer than the Breadth

So, the length be x + 4

Perimeter = 192

❍ Perimeter = 2(Length + Breadth)

Length : x + 4 = 46 + 4 = 50

Breadth : x = 46

7. Radius of circle P = 2       Radius of circle Q = 1

Coordinates of the point of tangency (4,2)

The equation of the tangency line is x = 4

8. AB is not a tangent. BC² ≠ AB² + AC²

9. The three radii of the circle are; CB, CF and CD

A diameter of the circle is BD

A tangent of the circle is GE

A chord of the circle is BD

A secant of the circle is AD

A point of tangency is F

7. To find the radius, identify the diameter of the circle. For the diagram, it can be said that the diameter of the circle P is 4.

The radius then is 4/2 = 2.

The radius of circle q is 2/2 = 1

You could also use the formula

Distance = sqrt((x2 - x1)² + (y2 - y1)²)

8. √4² + √12² = √160

√13 = 169

Therefore AB is not tangent. It is less than BC

9. The line that cuts the circle into two halves is the diameter. The lines than further cuts the diameter into equal parts are the radii's

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Answer:

-9

Step-by-step explanation:

-3 = 6 - 9

-3 = -3

Answer:

It is not possible

Step-by-step explanation:

Given

0.8km

Required

Convert to minutes

In conversion, only units of the same metric can be converted.

i.e.

You can convert meters to miles (they both measure distance)

You can convert seconds to hours (they both measure time)

You can convert kilogram to pounds (they both measure weight)

But in the given question, you attempt to convert from distance to time.

This is not possible, because time and distance are different measurements

The distance between the tops of the buildings is 28.5 meters.

To find the distance between the top of the buildings, we can use the concept of similar triangles.

Let's denote the height of the shorter building as "a" (12 m) and the height of the taller building as "b" (19 m). The distance between the buildings can be denoted as "c" (18 m), and the distance between the top of the buildings as "x" (which we need to find).

We can set up a proportion based on the similar triangles formed by the buildings:

a/c = b/x

Substituting the known values:

12/18 = 19/x

To find "x," we can cross-multiply and solve for "x":

12x = 18 * 19

12x = 342

x = 342/12

x = 28.5 m

Therefore, the distance between the tops of the buildings is 28.5 meters.

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Answer:

\((2x + 4) \geqslant 22 \\ 2x = 18 \\ x = 9 \\ \\ - (2x + 4) \geqslant 22 \\ 2x + 4 \leqslant - 22 \\ 2x \leqslant - 26 \\ x \leqslant - 13\)

Answer:

x=(4p+34)/2

p=(2x-34)/4

Step-by-step explanation:

2x-14=4(p+5)

2x-14=4p+20

2x=4p+34

If you are solving for x, it would be:

2x/2=4p+34/2

x=(4p+34)/2

If you are olving for p, it would be:

2x-34=4p

Divide 4 from both sides:

(2x-34)/4=p or p=(2x-34)/4

The fare for a 500-mile trip is 164.

The equation provided in the question is known as a linear equation. A linear equation is an equation that has a single variable that is raised to the power of one.

The general form of a linear equation is:

y = mx + b

Where:

In the equation used to calculate the fare, y=0.28x+24, 0.28 is the variable cost and 24 is the fixed cost.

Cost of a 500-mile trip = y=0.28(500) +24

y = 140 + 24

y = 164

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Answer:

\(\frac{x}{y} = \frac{8}{5}\)

Step-by-step explanation:

Given

\(5x^2 - 13xy + 8y^2 = 0\)

Required

Find x/y

\(5x^2 - 13xy + 8y^2 = 0\)

Expand

\(5x^2 -5xy - 8xy + 8y^2 = 0\)

Factorize:

\(5x(x - y) - 8y(x - y) = 0\)

Factor out x - y

\((5x - 8y)(x - y) = 0\)

Divide both sides by \((x-y)\)

\(5x - 8y = 0\)

Add 8y to both sides

\(5x = 8y\)

Divide both sides by 5

\(x = \frac{8}{5}y\)

Divide both sides by y

\(\frac{x}{y} = \frac{8}{5}\)

Answer:

4.8 * 10^15 Newton

Step-by-step explanation:

Electric field is electric force  created by a unit charge. Mathematically it is defined as

Electric field = electric force /charge in coulomb  _____(1)

given

Electric field =  1.2 * 10^6 N/C

charge = 4.0 * 10^9 C

substituting above value in equation 1 we have

1.2 * 10^6 N/C =  electric force/4.0 * 10^9 C

=> 1.2 * 10^6 N/C * 4.0 * 10^9 C = electric force

=> electric force = 4.8 * 10^15

Thus, electric force acting on the toner particle is 4.8 * 10^15 Newton

Answer:

Cassie bought 0.375 pounds of peanuts and 0.250 pounds of cashews, that is, she bought 50% more peanuts than cashews.

Step-by-step explanation:

Since Cassie bought 3/8 of a pound of peanuts and 1/4 of a pound of cashews, to determine the comparison between both nuts the following calculation must be performed:

3/8 = pounds of peanuts

0.375 = pounds of peanuts

1/4 = pounds of cashews

0.250 = pounds of cashews

Therefore, Cassie bought 0.375 pounds of peanuts and 0.250 pounds of cashews, that is, she bought 50% more peanuts than cashews.

Answer:

The value that is 1 standard deviation above the mean is 39 minutes

Step-by-step explanation:

The average playing time of music albums in a large collection is 32 minutes, and the standard deviation is 7 minutes.

(a) What value is 1 standard deviation above the mean

The formula to apply for this question is

the empirical rule

68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ.

μ - σ

32 minutes - 7minutes

= 15 minutes

μ + σ

32 minutes + 7 minutes

= 39 minutes

Answer:

Yeah that's correct.

Step-by-step explanation:

You're welcome I'm so high

Answer:

Step-by-step explanation:

.

The best way for Anthony to plan his garden is to create a rectangular plot. He can use the side of the barn as one side of the rectangle, and then measure out the other three sides. The total length of the three sides will be 176 feet. He can divide this into two sides that are 88 feet long and two sides that are 44 feet long. This will give him a rectangular plot that is 176 square feet.

Once Anthony has the dimensions of the plot, he can build a fence around it to protect it from rabbits. He can use a variety of materials such as wood, wire, or plastic mesh to build the fence. The fence should be at least four feet tall and buried at least six inches deep to be effective. If he chooses to use wire, he should use thick, galvanized wire to make sure that the rabbits cannot chew through it.

Once the fence is in place, Anthony can begin planting his garden. He should also consider adding a layer of mulch or straw around the outside of the fence to discourage the rabbits from digging underneath it. With the right planning and protection, Anthony should be able to enjoy a successful garden.

A la sala de cine ingresaron 180 niños y 165 adultos.

De acuerdo con el enunciado, la sala de cine tiene capacidad para 345 espectadores y cobra 3 dólares por cada niño y 5 dólares por cada adulto. Asimismo, esta sala tiene un recaudo diario de 1365 dólares. La situación puede ser sintetizada en la siguiente ecuación algebraica:

3 · x + 5 · (345 - x) = 1365

Donde x es el número de niños que asistieron a la sala de cine.

Ahora despejamos la variable correspondiente mediante propiedades algebraicas:

3 · x + 1725 - 5 · x = 1365

1725 - 2 · x = 1365

2 · x = 1725 - 1365

2 · x = 360

x = 180

Ahora, el número de adultos es:

y = 345 - 180

y = 165

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Continuous random variable is a random variable that can take on a continuum of worth. In alternative words, a random variable is said to be continuous if it supposes a value that falls between a particular interval.

A continuous random variable can be described as a random variable that can take on an infinite number of possible values. Due to this, the probability that a continuous random variable will take on a fixed value is 0.

The probability density function of a continuous random variable can be explained as a function that gives the probability that the value of the random variable will drop between a range of values. Let X be the continuous random variable, then the formula for the pdf, f(x).

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Answer:

x = 0.39 or

x = -1.72

Step-by-step explanation:

The quadrateic formula is:

\(x = \frac{-b\pm\sqrt{b^2 - 4ac} }{2a}\)

eq: 3x² + 4x - 2

which is of the form ax² + bx + c = 0

where a = 3, b = 4 and c = -2

sub in quadratic formuls,

\(x = \frac{-4\pm\sqrt{4^2 - 4(3)(-2)} }{2(3)}\\\\=\frac{-4\pm\sqrt{16 + 24} }{6}\\\\=\frac{-4\pm\sqrt{40} }{6}\\\\=\frac{-4\pm2\sqrt{10} }{6}\\\\=\frac{-2\pm\sqrt{10} }{3}\\\\=\frac{-2+\sqrt{10} }{3} \;or\;=\frac{-2-\sqrt{10} }{3}\\\\=0.39 \;or\; -1.72\)

Therefore , the solution of the given problem of unitary method comes out to be Daisy cream and Kremlin cream both have less cream per bulk 1 gallon and 4.5 gallons, respectively than Marble cream.

The objective can be accomplished by utilising what has already been discovered, taking advantage of this worldwide access, and including all essential components from earlier changeable study who employed a certain technique. If the anticipated claim outcome actually occurs, it will either be possible to contact the variable again or both important processes will undoubtedly miss the statement.

Here,

We must convert cups to gallons because daisy cream is sold in bulks of cups. Since a gallon of Daisy cream comprises 16 cups, one quantity of Daisy cream contains:

=> 16 cups per bulk = 1 gallon 16 cups per bulk = 1 gallon

Moscow cream is offered in bulk quantities of 4 1/2 gallons, which is one gallon.

Thus, we must convert pints to gallons. A gallon of Marble cream comprises eight pints, hence one quantity of Marble cream contains:

=> 40 pints in a bulk equal 1 gallon, 8 pints, or 5 gallons.

As a result, we can see that Marble cream, with 5 gallons per bulk, has the most cream.

Daisy cream and Kremlin cream both have less cream per bulk (1 gallon and 4.5 gallons, respectively) than Marble cream.

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Answer:

16

Step-by-step explanation:

because 10.08 would round down to 10, and 5.6 would round up to 6 and 10+6= 16

Answer:

37.5

Step-by-step explanation:

The equation of a tangent line to the circle is, \(x^{2} +y^{2}\) = 34

Given that,

The equation of a tangent line to the circle with center = (3,6)

The line contains point = (-2,3)

For a circle or curve, the tangent is a line or line segment that touches the circle at one point only. For a circle, the tangent will be perpendicular to a radius drawn to the tangent point.

A tangent to a circle at point P with coordinates is a straight line that touches the circle at P. The tangent is perpendicular to the radius which joins the centre of the circle to the point P. As the tangent is a straight line, the equation of the tangent will be of the form y = m x + c

The equation of circle of radius r and center (h , k) is given by

\((x-h)^{2}\) + \((y-k)^{2}\) = \(r^{2}\)         (Equation-1)

And it is given that the center is (3,6) and it passes through (-2,3).

So values of h and k are (3,6) each and values of x and y are 2 and respectively .

Substituting these values in the equation, we will get

(h , k) = (3,6)

We can substitute h , k values in equation-1,

\((x-h)^{2}\) + \((y-k)^{2}\) = \(r^{2}\)  

\((x-3)^{2}\) + \((y-6)^{2}\) = \(r^{2}\)

Then we can substitute x , y values,

So,

We can write,

( x , y ) = (-2 , 3)

\((-2-3)^{2}\) + \((3-6)^{2}\) = \(r^{2}\)

\((-5)^{2}\) + \((-3)^{2}\) = \(r^{2}\)

25 + 9 = \(r^{2}\)

34 = \(r^{2}\)

Substituting the values of h, k and r, we will get

\(x^{2} +y^{2}\) = 34

Therefore,

The equation of a tangent line to the circle is, \(x^{2} +y^{2}\) = 34

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Answer:

4m=4+m

4m-m=4

3m=4

m=4/3

hope this helps:)))

Answer:

(0, -4) and (4, 0)

Step-by-step explanation:

fill in x=0 to find y=-4

fill in y=0 to find x=4

Of course there are infinitely many other points on the graph, so I kept it simple.

Answer:

The answer toy our problem is, The maximum number of days by which the completion of work can be delayed is 15.

Step-by-step explanation:

We are given that the penalty amount paid by the construction company from the first day as sequence, 4000, 5000, 6000, ‘ and so on ‘. The company can pay 165000 as penalty for this delay at maximum that is

 \(S_{n}\)​ = 165000.

Let us find the amount as arithmetic series as follows:

4000 + 5000 + 6000

The arithmetic series being, first term is \(a_{1}\) = 4000, second term is \(a_{2}\) = 5000.

We would have to find our common difference ‘ d ‘ by subtracting the first term from the second term as shown below:

\(d = a_{2} - a_{1} = 5000 - 4000 = 1000\)

The sum of the arithmetic series with our first term ‘ a ‘ which the common difference being, \(S_{n} = \frac{n}{2} [ 2a + ( n - 1 )d ]\) ( ‘ d ‘ being the difference. )

Next we can substitute a = 4000, d = 1000 and \(S_{n}\) = 165000 in “ \(S_{n} = \frac{n}{2} [ 2a + ( n - 1 )d ]\) “ which can be represented as:

Determining, \(S_{n} = \frac{n}{2} [ 2a + ( n - 1 )d ]\)

⇒ 165000 = \(\frac{n}{2}\) [( 2 x 4000 ) + ( n - 1 ) 1000 ]

⇒ 2 x 165000 = n(8000 + 1000n - 1000 )

⇒ 330000 = n(7000 + 1000n)

⇒ 330000 = 7000n + \(1000n^2\)

⇒ \(1000n^2\) + 7000n - 330000 = 0

⇒ \(1000n^2\) ( \(n^2\) + 7n - 330 ) = 0

⇒  \(n^2\) + 7n - 330 = 0

⇒ \(n^2\) + 22n - 15n - 330 = 0

⇒ n( n + 22 ) - 15 ( n + 22 ) = 0

⇒ ( n + 22 )( n - 15 ) = 0

⇒ n = -22, n = 15

We need to ‘ forget ‘ the negative value of ‘ n ‘ which will represent number of days delayed, therefore, we get n=15.

Thus the answer to your problem is, The maximum number of days by which the completion of work can be delayed is 15.

Answer:

V = 6 cm^3

Step-by-step explanation:

To find the volume you multiply the dimensions of the three sides of the box, length times width times height

The length is 1 cm the width is 2 cm and the height is 3 cm

The units for volume will be cm^3 since we are multiplying cm* cm*cm

V = l*w*h

V = 1*2*3

V = 6 cm^3

Answer:

6 cm³

Step-by-step explanation:

The volume of a box or rectangular prism is l×w×h.

length × width × height

The dimensions of the box are 1cm × 2cm × 3cm

1 × 2 × 3

Multiply the numbers.

= 6

The volume of the box is 6 cm³.