Susie started a rock collection. she started with 26 rocks. each month she adds 5 to the collection. which equation can be used to find y, the total number of rocks in susie's collection after x months?

Using the equation y = 12.4/20, the amount of time it would take to read a book that has 424 pages is: A. 262.88 min.

The equation, y = kx, represents a proportional relationship where the value of k is the unit rate of the relationship between the two variables, x and y.

In the scenario given:

To find how long it will take to read a book with 424 pages, substitute x = 424 into the equation y = 12.4/20x:

y = 12.4/20(424)

y = 262.88 minutes.

To read 424 pages, it will take: A. 262.88 min.

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Answer: 50

Step-by-step explanation: Common factor of 150 and 350 = 1, 2, 5, 5. Highest common factor of 150 and 350 = 2 × 5 × 5 = 50.

Answer: 3x - 10 = -3x + 8 Add 3x to both sides 6x - 10 = 8 Add 10 to both sides 6x = 18 Divide both sides by 6x = 3

Step-by-step explanation:

122

Step-by-step explanation:

u just say 10 950 dividied by 90 which is 121 recurring and then u say 121 plus 1 because it has a remainder

Stavros has 9 at least quarters and 13 at most coins.

In mathematics, inequalities specify the connection between two non-equal numbers. Equal does not imply inequality. Typically, we use the "not equal sign (≠)" to indicate that two values are not equal. But several inequalities are utilized to compare the numbers, whether it is less than or higher than.

Given Data

Stavros has 22 coins in his piggy bank, all dimes and quarters. Altogether, the coins are worth more than $3.40.

He only has quarters and dimes in his possession. For quarters and dimes, assign variables.

Let x = the quantity of dime

Let y = the quantity of quarters.

Create an inequality and equation to depict the scenario.

We can use an equation because he has exactly 22 coins.

x + y = 22

He has more than $3.40 in his total, thus we can apply an inequality.

0.10x + 0.25y > 3.40

To figure out how many of each coin he possesses, we apply the substitution approach. In order to express the inequality in terms of x, substitute the equation into the inequality.

0.10x + 0.25(22 - x) > 3.40

The inequality can now be resolved.

0.10x + 5.5 - 0.25x > 3.40

-0.15x + 5.5 > 3.40

-0.15x > -2.1

x > 14

In an equation where we divide by a negative coefficient, We reverse the sign in inequality.

x < 14

Stavros has a maximum of 13 dimes.

The value of x can then be substituted into the equation since an equation provides you the most precise and minimal value you can have.

y = 22 - 13

y = 9

Stavros has 9 quarters and 13 dimes.

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The result of the expression 3g × [tex](g+r)^2[/tex] - 1, when g = 2 , r = 3 , and t = 11 is 149

The given expression is

3g × [tex](g+r)^2[/tex] - 1

The expression is the mathematical a sentence with a minimum of two variables and at least one math operation, the math operation might be addition, subtraction, division, multiplication etc..

The value of g = 2

The value of r = 3

The value of t = 11

Substitute the values in the expression

= 3×2× [tex](2+3)^2[/tex] - 1

Do the arithmetic operation in bracket first

= 6×[tex]5^2[/tex] - 1

= 150 - 1

= 149

Hence, the result of the expression 3g × [tex](g+r)^2[/tex] - 1, when g = 2 , r = 3 , and t = 11 is 149

The complete question is :

Evaluate the expression  3g × [tex](g+r)^2[/tex] - 1, if g=2, r=3, and t=11

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The process capability index gauges how much variance a process encounters in comparison to its specification parameters.

We might compare various procedures in terms of the ideal circumstance or whether they live up to our expectations. In the event that the process is not centered, the capability ratio formula is employed.

Process capability uses capability indices to compare an in-control process output to the specification's upper and lower bounds.

Calculated for steady, non-automated processes is the process capability index. The operator is then instructed to check samples at random and center the process.

The processing capability declined.

One would expect to find that the process capability has gotten worse.

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It would take 0.58 hours to cover a distance of 1 kilometer.

The speed of a body is defined as the total distance covered by the body per unit time by taken by the body.

S = D/t

where,

S is the speed of the body,

D is the distance covered by the body and

t is the time taken by the body.

Here, in the provided situation,

The distance D to be covered is 1 kilometer.

The speed S at which the body moving is 1.7 km/h.

using formula,

S = D/t

1.7 = 1/t

t = 1/1.7

t = 0.58 hours.

Time taken by the body is 0.58 hours.

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Answer:

1,3,5,7,17,23

Step-by-step explanation:

Answer:

The image is inserted below.

Step-by-step explanation:

The blue line is the line that passes through the point (1,-1) which is marked as A on the graph.

The green line is the new line you need to graph that is parallel to the original line and has a slope of 1.

The solution of scalar multiplication 2A is Option(D).

[tex]2A = \left[\begin{array}{ccc}10&2&6\\12&8&4\\\end{array}\right][/tex]

The given matrix is:

[tex]A = \left[\begin{array}{ccc}5&1&3\\6&4&2\\\end{array}\right][/tex]

To do the scalar multiplication to determine 2A, just multiply a 2 on every entry in the matrix:

[tex]2A = \left[\begin{array}{ccc}2*5&2*1&2*3\\2*6&2*4&2*2\\\end{array}\right][/tex]

[tex]2A = \left[\begin{array}{ccc}10&2&6\\12&8&4\\\end{array}\right][/tex]

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Answer:

30.2 meters

Step-by-step explanation:

The key is to realize that a 30 60 90 triangle can be constructed and the height of the house can be found from there. It may be helpful to draw a diagram.
I will use the diagram attached for reference to this solution.

Remember that the answer is asking for y, or the length of DE.

The angle CAB is 30 degrees, and the angle ACB is 90 degrees
The length of CB is 25 * sqrt3
Since ACB is a 30 60 90 triangle, and we know the length of one of the sides, the length of the other sides can be calculated.
CB is the shortest length, and so the middle length, AC, is sqrt(3) times longer than the length of the shortest length, CB

CB's length * sqrt 3 = AC's length = 25 * sqrt3 * sqrt3

AC = 75

length of A to F (I can't combine the letters a and f because then brainly thinks i'm swearing ) = 75 + x = 107

x = 32

Since length of BE = length of CF,

32 = BD + DE = 1.8 + y

y = 30.2 meters

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The average temperature on Earth is greater than the average temperature on Jupiter by 225°F.

The average temperature on earth is greater than the average temperature in Jupiter by 225°F. This can be obtained by getting the average temperatures as follows:

The average temperature on Earth is = 59°F

The average temperature on Jupiter is = -166°F.

Now we represent this in an equation as follows:

-166°F + x = 59°F

x = 59 - (-166)

x = 59 + 166

x = 225°F.

So, the figure with which the average temperature of the earth surpasses the average temperature of Jupiter is 225°F.

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The formula in terms of x and y for dy/dx is -3y/x

The value of dy/dx at the point (81,16) is -0.5926

The question is incomplete, the full question is given below:

A manufacturer can produce 2970 cell phones when x dollars is spent on labor and y dollars is spent on capital. the equation that relates x and y is [tex]55x^{\frac{3}{4} } y^{\frac{1}{4} } =2970[/tex]

a. Find a formula in terms of x and y for [tex]\frac{dy}{dx}[/tex]

b. Find the value of      dy/dx at the point (81,16). Round your answer to 4 decimal places

Part a

A formula in terms of x and y for [tex]\frac{dy}{dx}[/tex]

We differentiate equation that relates x and y with respect to x by implicit differentiation:

=[tex]\frac{d}{dx} (55x^{\frac{3}{4} } y^{\frac{1}{4} } )=\frac{d}{dx} (2970)[/tex]

=[tex]55(x^{\frac{3}{4} } \frac{d}{dx} (y^{\frac{1}{4} } )+y^{\frac{1}{4} } ((x^{\frac{3}{4} } ))=0[/tex]

=[tex]x^{\frac{3}{4} } y^{\frac{-3}{4} } \frac{dy}{dx} =3y^{\frac{1}{4} } x^{\frac{-1}{4} }[/tex]

= [tex]\frac{dy}{dx} =\frac{-3y^{0.5}x^{-0.5} }{x^{0.75}y^{-0.75} }[/tex]

[tex]=\frac{-3y}{x}[/tex]

=-3y/x

Part b

Value of dy/dx at the point (81,16)

dy/dx at (81,16), x=81, y=16

dy/dx=-3y/x

dy/dx=-3*16/81

dy/dx=-48/81

dy/dx=-16/27

        =-0.5926  

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1) Notice that, in this case, the center is at (0,0) the focus at (0,4) and the Vertex is at (0,7)

2) Since the focus is at the y-axis, and the center is at the origin we can start from the following formula:

The equation that is parallel to y = -3x + 7 and passes through the point (2, -1) is y=-3x+5.

The slope intercept form in math is one of the forms used to calculate the equation of a straight line, given the slope of the line and intercept it forms with the y-axis.

y=mx+b

where m is the slope of the line and b is the y intercept.

The slope of the given equation,

y=-3x+7 is -3.

So, to write an equation parallel to the given equation and set of points, use point slope form and the slope of -3

y-y₁=m(x-x₁)

where (2,-1)  are x₁, y₁

y-(-1)=-3(x-2)

y+1=-3(x-2)

Multiply with 3 on RHS side

y+1=-3x+6

We have to write in slope intercept form, so shift 1 to RHS.

y=-3x+6-1

y=-3x+5

As you can see, the slope of this line is -3

, which means that the two equations are parallel to each other.

Hence y=-3x+5 is the equation that is parallel to y = -3x + 7 and passes through the point (2, -1).

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      There are two possible solutions because a power is involved. This can be shown in the graph. When we graph to the power of 2, we get a parabola. This gives us two x-intercepts, giving us two answers.

      And why is this? When you square a negative number, you get a positive number since a negative times a negative is a positive.

     Example: 2 * 2 equals 4, and -2 * -2 also equals 4. This means both 2² and (-2)² are equal to 4.

      This means that we will get a positive and negative number value that both equal the same thing when being squared, which is why you get two possible solutions to this equation.

Answer:

Choice A

Step-by-step explanation:

The line we need to find has the same slope as the slope of the given line which is 3.

The solution the inequality expression given as 2(7-4k) > 12 or 5 < 0.2(15k + 10) is 0.25 > k > -0.4

Inequality expressions are mathematical statements that are represented by variables, coefficients and operators where the opposite sides are not equal

The inequality expression is given as

2(7-4k) > 12 or 5 < 0.2(15k + 10)

Open the brackets

So, we have

14 - 8k > 12 or 5 < 7.5k + 2

Collect the like terms

So, we have

- 8k > 12 - 14 or 5 - 2 < 7.5k

Evaluate  the like terms

So, we have

- 8k > -2 or -3 < 7.5k

Divide both sides by the coefficient of k

So, we have

k < 0.25 or -0.4 < k

Rewrite as

0.25 > k or k > -0.4

Combine

0.25 > k > -0.4

Hence, the solution is 0.25 > k > -0.4

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Work Shown:

[tex](x_1,y_1) = (1,1) \text{ and } (x_2,y_2) = (8,8)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{8 - 1}{8 - 1}\\\\m = \frac{7}{7}\\\\m = 1\\\\[/tex]

The equation f(x) = 2x - 9 translated 6 units up, then the equation g(x) = 2x-3

The equation is

f(x) = 2x - 9

Then it is translated 6 units up

The translation is the process of moving the shape to left/right of up or down. During the translation process the shape and size of the graph will not change. In translation we are only changing the coordinates of the points of the shape.

Here it is translated 6 units up.

During the upward motion it will be positive

g(x) = f(x) + 6

Substitute the value of f(x)

g(x) = 2x-9 + 6

g(x) = 2x-3

Hence, the equation f(x) = 2x - 9 translated 6 units up, then the equation g(x) = 2x-3

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The cost of the entrance ticket for a child is $12.80.

Using algebraic expression and equation, we can express each statement and determine the cost of the entrance ticket for a child

Let x = cost of the entrance ticket for a child

y = cost of the entrance ticket for an adult

If the cost of the entrance tickets to the zoo for 2 adults and 3 children is $78.80, then we can express this as:

3x + 2y = $78.80     (equation 1)

If the cost of the entrance tickets for 1 adult and 1 child is $33.10, then we can express this as:

x + y = $33.10     ⇒     x = $33.10 - y     (equation 2)

Substitute equation 2 to equation 1 and solve for y.

3x + 2y = $78.80     (equation 1)

3($33.10 - y) + 2y = $78.80

$99.30 - 3y + 2y = $78.80

3y - 2y = $99.10 - $78.80

y = $20.30

Substitute the value of y to equation 2 and solve for x.

x = $33.10 - y     (equation 2)

x = $33.10 - $20.30

x = $12.80

cost of the entrance ticket for a child = $12.80

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The ratio (new to original) of the perimeters is equal to 1/2 or 0.5. Also, the ratio (new to original) of the areas is equal to 1/4 or 0.25.

In Mathematics, the ratio of the perimeters of two (2) geometric figures would be equal to the scale factor when the two (2) geometric figures are similar;

Mathematically, the scale factor of a geometric figure can be calculated by using this formula:

Scale factor, z = Dimension of image/Dimension of original figure = y/x

Scale factor, z = 1/2 or 0.5.

In Geometry, the ratio of the areas of two (2) geometric figures would be equal to the square of scale factor when the two (2) geometric figures are similar.

Scale factor, z = (y/x)²

Scale factor, z = (1/2)²

Scale factor, z = 1/4 or 0.25.

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Complete Question:

Dilate a square with vertices (0, 0). (0, 4). (4, 4), and (4, 0) using the scale factor k = 0.5. What is the value of the ratio (new to original) of the perimeters? the areas?

The ratio of the perimeters is

The ratio of the areas is

Answer:

minimum: 125

Maximum: 175

Step-by-step explanation:

To do this, you know that Jake had a goal of getting $150 in the week. He was within $25 of reaching his goals. This means that he could have $25 less than or more than $150.

You can subtract 25 from 150 to get his minimum:

$150 - $25 = $125

And you can add 25 to get his maximum:

$150 + $25 = $175

Answer:

You should ask your teacher what the heck that means!

Step-by-step explanation:

But still, -7+10=3

Answer:

hola amigos como estan me saludan

Answer:

Step-by-step explanation:

Set 3y+53 equal to 7y-55

3y+53=7y-55 //subtract 3y

53=4y-55 //add 55

108=4y //divide by 4

y=27

To determine whether or not this system has a solution, we proceed as follows:

Now, we use the quadratic function to solve, that is:

From this, we have that the system has two solutions, we determine which replacing x in one of the functions, that is:

One solution is the point (-1, 4).

And, another solution is the point (-5, 8).

We can see each solution in the following graph:

Answer:

C

Step-by-step explanation:

when u take the 2 shortest sides and add them up, they must be greater than the longest length.