Determine the equivalent system for the given system of equations.4x − 5y = 23x − y = 8a. 4x − 5y = 213x − 8y = 4b. 4x − 5y = 210x + 3y = 15c. 4x − 5y = 213x − 8y = 26d. 4x − 5y = 27x + 6y = 10

The amount that Stephen owed after 2 weeks is $100.

Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both.

In this case, Stephan borrowed $125 to buy an electric scooter and the function f(x) = 125 - 12.5x

can be used to represent the amount of money Stephan owes on the loan, where X is the number of weeks that Stephan pays towards the loan.

The amount after 2 weeks will be:

f(x) = 125 - 12.5x

= 125 - 12.5(2)

= 125 - 25

= $100

The amount is $100.

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Complete question

Stephan borrowed $125 to buy an electric scooter. The function f(x) = 125 - 12.5x

can be used to represent the amount of money Stephan owes on the loan, where X is the number of weeks that Stephan pays towards the loan. What is the amount owed after 2 weeks?

Based on their sides, the 3 triangles are classified as equilateral triangles, isosceles triangles, and scalene triangles.

Scalene-Triangle-1

In the figure, all three symbols that are given on each side are different, which denotes that all three sides are unequal.

One example of the angles of an isosceles acute triangle is 50°, 50°, and 80°.

The sum of all three angles of an equilateral triangle is equal to 180 degrees.  60° + 60° + 60° = 180°

the examples of acute angles are 25°, 36°, 47°, 64°, 55°, 72°, 80° and so on

Examples of right angles are all around us. We can see right angles in the corners of a room, book, cube, windows, and at several other places.

Examples of obtuse angles include 166°, 121°, 110°, 117°, and 91°.

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Answer:

1

Step-by-step explanation:

you will be required to find a magnitude of the two points that is (5,1) -(-7,a) =(12,1-a)

then find square root using the formula √x^2+y^2

thus (√12^2+a^2)=13 thus 12+a= 13 hence a=13-12

a=1

Let Q be the number of quarters and N be the number of nickels that Hugo has. We are given that Hugo has 4 * N quarters and that the total number of quarters and nickels is worth 840 cents. Since each quarter is worth 25 cents and each nickel is worth 5 cents, the total number of quarters is worth 25 * Q cents and the total number of nickels is worth 5 * N cents. Therefore, the total number of quarters and nickels is worth 25 * Q + 5 * N cents. Since the total number of quarters and nickels is worth 840 cents, we can set up the following equation to represent this information:

25 * Q + 5 * N = 840

We are also given that Hugo has 4 * N quarters, so we can set up the following equation to represent this information:

Q = 4 * N

We can solve this system of equations to find the number of quarters and nickels that Hugo has. Substituting the value of Q in the second equation into the first equation, we get the following:

25 * (4 * N) + 5 * N = 840

Distributing the 25 on the left side of the equation, we get the following:

100 * N + 5 * N = 840

Combining like terms, we get the following:

105 * N = 840

Dividing both sides of the equation by 105, we get the following:

N = 8

Substituting the value of N into the second equation, we get the following:

Q = 4 * 8

Solving for Q, we get the following:

Q = 32

Therefore, Hugo has 8 nickels and 32 quarters.

Answer:

32 quarters

8 nickels

Step-by-step explanation:

Information:

Define the variables:

If Hugo has 4 times as many quarters as nickels:

[tex]\implies x=4y[/tex]

If the combined value of quarters and nickels is 840 cents:

[tex]\implies 25x+5y=840[/tex]

Substitute the first equation into the second equation and solve for y:

[tex]\implies 25(4y)+5y=840[/tex]

[tex]\implies100y+5y=840[/tex]

[tex]\implies 105y=840[/tex]

[tex]\implies y=8[/tex]

Substitute the found value of y into the first equation and solve for x:

[tex]\implies x=4(8)[/tex]

[tex]\implies x=32[/tex]

Therefore, Hugo has:

Answer:

x=5

Step-by-step explanation:

To find the value of x, we need to first set up the proportion using the given information. Since the given values are in proportion, we can set up the proportion as follows:

x / 10 = (2x - 4) / 12

Next, we can cross-multiply to solve for the value of x:

12x = 10(2x - 4)

12x = 20x - 40

-8x = -40

x = 5

Thus, the value of x is 5. This means that the other values in the proportion are also 5, 10, 10, and 12, respectively.

Answer:

[tex]12\pi[/tex]

Step-by-step explanation:

Circumference Formula: [tex]2\pi r[/tex]

Our radius is 6, plug that in.

[tex]2\pi 6[/tex]

12[tex]\pi[/tex]

Leave in terms of pi, so do not simplify further.

Answer:

m it's equal to 6 because division its equal subtract the power

Step-by-step explanation:

A* to the power 9 divided by A* to the power 3 its equal to 9-3 = A* to the power its a

A^6

Answer: hmmmm who knows?

Step-by-step explanation: but you got it good luck!

Answer:

v3+2v2−21v+21/v+6

Step-by-step explanation:

There are no solutions to this equation

Answer:

x=-6

Step-by-step explanation:

[tex]\frac{1}{2} x[/tex]-6=2x+3

∴2×( [tex]\frac{1}{2} x[/tex]-6)=2×(2x+3)

∴x-12=4x+6

∴3x=-18

∴x=-6

If two sides of a triangle are 22 in and 13 in, then is the smallest whole number value for the 3rd side will be 10

According to the rule of triangle the sum of first angle and second angle should be greater than the third angle.

first angle+ second angle > third angle

Here

22-13 = 9

so to became a triangle the minimum value of the third side will be 10(9+1).

Therefore, If two sides of a triangle are 22 in and 13 in, then is the smallest whole number value for the 3rd side will be 10

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By solving this question of algebra we can calculate that Mile bought 3.5 pounds of jelly bean.

Algebra is the study of using variables to denote some quantity, and then solving equations to calculate the value of the quantity based on some conditions given.

Let x be the amount of gummy bear bought and y be the amount of jelly bean bought. Then, 3.40x + 1.5y = 13.75 (total amount of money)

x = 2.5 (given in question)

then,

3.40 (2.5) + 1.5y = 13.75

y = 3.5 pounds

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The value of the given logarithm log(750)=2.875.

Commonly employed in science and engineering, the base-10 logarithm is also known as the decimal or common logarithm. Since its derivative is so straight forward, the natural logarithm, whose base is the number e 2.718, is widely used in both mathematics and physics. Computer science typically use the binary logarithm, which has a base of 2.

John Napier developed logarithms as a way to make calculations simpler in 1614. To make high-accuracy calculations simpler, they were quickly embraced by surveyors, scientists, engineers, navigators, and other professionals. Inefficient multi-digit multiplication steps can be swapped out for quicker addition and table lookups when using logarithm tables.

Given,

We have to find the logarithm value of log(750)

By using the logarithm calculator we get

log(750)=2.875

Therefore, the value of the given logarithm log(750)=2.875

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The verdict on each of the given scenarios are as follows;

By observation:

1. Since the two Triangles represented in 1. share a side and also, the two corresponding sides are congruent; it can be concluded that the two triangles are congruent.

2. By observation, although two sides are said to be congruent in the triangles; it cannot be concluded that the triangles are congruent neither by HL nor SSS congruence theorem.

3. The two Triangles share the diagonal which serves as the hypothenuse of both triangles; in addition, one of the other side lengths of the triangles are congruent; Therefore, the triangles are congruent by the HL congruence theorem.

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for a normal distribution, assume the 'population' standard deviation is 7.7. .645 * 7.7 / √(n) is the maximal margin of error associated with a 90% confidence interval for the true population mean if n

The margin of error is calculated as

Margin of Error = Critical Value * Standard Deviation / √(Sample Size)

= 1.645 * 7.7 / √(n)

= 1.645 * 7.7 / √(n)

The margin of error is a measure of the accuracy of an estimate based on a sample from a population. It is calculated by taking the critical value (1.645, for a 90% confidence interval) multiplied by the population standard deviation (7.7), divided by the square root of the sample size (n). The higher the sample size, the smaller the margin of error. This means that a larger sample size gives a more accurate estimate of the true population mean.

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The equation that has infinitely many solutions is 5(2x + 4) = 10(x + 2).

An equation can have infinitely many solutions when both sides of the equation satisfy the same conditions. The system of an equation has infinitely many solutions when the lines are coincident, and they have the same y-intercept. If the two lines have the same y-intercept and the slope, they are actually in the same exact line. For the given equations it can determine if the equation has infinitely many solutions by simplifying the equation and see if both sides are equal. Hence,

5(2x + 4) = 10x – 12

10x + 20 ≠ 10x - 12

5(2x + 4) = 10(x + 2)

10x + 20 = 10x + 20

5(2x + 4) = 12x

10x + 20 ≠ 12x

5(2x + 10) = 20(x + 1)

10x + 50 ≠ 20x + 20

Hence, 5(2x + 4) = 10(x + 2) has infinitely many solutions.

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The slope of the line AB in simplest form is 3/2.

The slope is the rate of change of the y-axis with respect to the x-axis.

The equation of a line in slope-intercept form is y = mx + b, where

slope = m and y-intercept = b.

We know the greater the absolute value of a slope is the more steeper is it's graph or rate of change is large.

We also know that the slope is rise over run, rise represents the y-axis and run represents the x-axis.

From B to C rise is 3 and from B to C run is 2.

Therefore, the slope of the line AB is 3/2.

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Answer:

Smaller number: 15           Larger number: 31

Step-by-step explanation:

Let's call the smaller number x

So, the larger number will be x+16 (it's 16 more)

Then, write an equation:
x (smaller number) + (x+16) (larger number) = 46 (sum)

x+x+16=46
2x+16=46
2x=30
x=15
So, the smaller number is 15
The larger number is x+16, so plug in x:
x+16 = 15+16 = 31
The smaller number is 15, and the larger number is 31

[tex]y = 15 \\ x = 31[/tex]

Step-by-step explanation:

[tex]y + 16 + y = 46 \\ 2y = 30 \\ y = 15 \\ \\ x = 15 + 16 \\ x = 31[/tex]

The answer is yes, it is possible to have the sum of square roots equal the square root of the sum of the radicands.

A square root of a number is a value that, when multiplied by itself, gives the number.

Given that, is it possible √a+√b = √a+b

Yes, it is possible to have the sum of square roots equal the square root of the sum of the radicands.

If either a or b equals zero, then the sums would be the same.

Since the square root of 0 is ±0, adding it to a given radical would not change the radical. Also, adding zero to the radicand would not change its value.

Hence, it is possible to have the sum of square roots equal the square root of the sum of the radicands.

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Answer:

The mass of 100 cubic cm = 1,000 grams.

The mass of 500 cubic cm = 5,000 grams.

Step-by-step explanation:

90/10=9

140/10=14

250/10=25

100x10=1000

500x10=5000

Answer:

5 spaces right

hope this helps

Answer:

The answer is the standard form equation for a hyperbola with center at the origin, vertices at (1, 0) and (-1, 0), and foci at (5, 0) and (-5, 0), which is:

x^2 - \frac{y^2}{5} = 1

This equation describes the shape of the hyperbola and allows you to determine the location and size of the hyperbola on a coordinate plane.

Step-by-step explanation:

The standard form equation for a hyperbola with center at the origin, vertices at (1, 0) and (-1, 0), and foci at (5, 0) and (-5, 0) is given by:

$$\frac{x^2}{a^2} - \frac{y^2}{b^2} = 1$$

where $a$ and $b$ are the lengths of the semi-major and semi-minor axes, respectively. In this case, the distance between the vertices is 2, so the semi-major axis is 1 and the semi-minor axis is $\sqrt{5}$. Therefore, the equation of the hyperbola is:

$$\frac{x^2}{1^2} - \frac{y^2}{\sqrt{5}^2} = 1$$

which simplifies to:

x^2 - \frac{y^2}{5} = 1

Answer:

2w [tex]\leq[/tex] 30

Step-by-step explanation:

Two times the value of w must be less than or equal to 30

Answer:  w < = 15

Step-by-step explanation:

Our equation is

2w < = 30

Divided by 2 both sides

w < = 15

The equation which shows that how many more t- shirts sal designed is x^{y} .....

If jay designed 4 t-shirts and sal designed 5 times as many t-shirts. So the equation which shows how more t- shirts sal designed is....

Firstly we make the data to simplify the peoblem:

Suppose:

T-shirts designed by jay =  x

T-shirts designed by sal = y

As t-shirts designed by jay are 4 so

x=4

and t-shirts designed by sal are 5 times as many t- shirts so

y= 5times = 4×4×4×4×4 = 1,024

So the equation which shows how many more t-shirts sal designed will be:

Required equation = x^{y}

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Answer:

75

Step-by-step explanation:

From the way you've typed the question, it would appear that the ratio of the size of the smaller side to the ratio of the size of the larger side is 2:5.

Therefore, if the smaller side is 30, you can use the ratio the find the larger side:

[tex]S:L\\2:5\\\\[/tex]

(×15 to make the smaller side 30)

[tex]30:75[/tex]

Therefore, the bigger triangle would have side length 75.

Answer: Each point appears to give the same number of tickets

9 points give 54 tickets

Step-by-step explanation:

Each point appears to give the same number of tickets

To find the number of tickets, a point gives

divide the number of tickets by the number of points.

18/3 = 6

you get six tickets per point

find the number of points that give 54 tickets by dividing 54 by 6

54/6=9

9 points give 54 tickets

The slope of a line that is perpendicular to the line y = x - 5 is the negative reciprocal of the slope of y = x - 5. The slope of y = x - 5 is 1, so the slope of the line that passes through (4, 8) and is perpendicular to y = x - 5 is -1.

We can use the point-slope form of a line to write the equation of the line that passes through (4, 8) and has a slope of -1. The point-slope form of a line is given by the equation y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope of the line. In this case, (x1, y1) is (4, 8) and m is -1, so the equation of the line is y - 8 = -1(x - 4). Simplifying this equation, we get y - 8 = -x + 4. Adding 8 to both sides of the equation, we get y = -x + 12. This is the equation of the line that passes through (4, 8) and is perpendicular to y = x - 5.

Answer:

The first step is 24 divided by 6 ..... (4)

The second step is 4 x 2 ...... (8)

Step-by-step explanation:

65(30-24 divided by 6 x 2)

65(30- 4 x 2)

65(30 - 8)

65(22)

1,430

Answer:

$31.99

Step-by-step explanation:

I have no idea what to put here