Jayden had $43 in his bank account. He wanted to buy a game at GameStop. The game cost $15. He made the purchase.
a) Write an expression to show his purchase activity.

b) How much did he have, after the purchase of the game?

The modulus of the complex number -4+3i is 5.

Complex number is an element of a number system that contains the real numbers and a specific element denoted i, called the imaginary unit,

A complex number is a number of the form a + bi, where a and b are real numbers.

The modulus (z) of a complex number x + iy is given by:

z = √(x² + y²)

The modulus of the complex number -4+3i is:

[tex]z=\sqrt{(-4)^2+3^2} =\sqrt{25}=5[/tex]

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Answer:

Different ways to answer this question

Step-by-step explanation:

You can do a ratio  of 1:4 apples and 1:5 oranges

Answer: C: Chuy will save more than he needs and will meet his goal at the end of 27 weeks.

Step-by-step explanation: Divide the amount of money saved, $440, by the number of weeks, 8.

440/8 = $55.

This means $55 is the amount of money Chuy saves every week.

Multiply $55 by the number of weeks Chuy plans to save money, 27.

55 x 27 = 1,485.

Since the television costs $1,350 dollars, Chuy will save more than he needs and will meet his goal in less than 27 weeks.

Answer:

Answer:

True.

Step-by-step explanation:

We assume that the plane is flying at a constant height above the ground.

The angle of elevation is the angle made between the plane, you and the point on  the ground directly below the plane. As the plane approaches you the distance between you and the point on the ground decreases and therefore the angle of elevation increases.

[tex]\large\huge\green{\sf{Answer:-}}[/tex]

[tex]\large\huge\green{\sf{Explanation:-}}[/tex]

[tex](8x + 5) + (5x - 1) + (4x + 6) = 180 {}^{o} \\8x + 5 + 5x - 1 + 4x + 6 = 180 {}^{o} \\ 8x + 5x + 4x + 5 - 1 + 6 = 180 {}^{o} \\ 17x + 10 = 180 {}^{ {}^{o} } \\ 17x = 180 - 10 \\ 17x = 170 \\ x = \frac{170}{10} = 17 \\ x = 17[/tex]

F - 1.47

The largest box represents 100 small cubes or 1. The four pillars represent 10 and there is four of them so it is 40. Then, the individual cubes are 7. So, 1.47.

Answer:

y-intercept: (0,5)

x-intercept: (5/2,0)

Step-by-step explanation:

[tex]-4x+7=2y-3[/tex]

[tex]-4(0)+7=2y-3[/tex]

[tex]0+7=2y-3[/tex]

[tex]7=2y-3[/tex]

[tex]10=2y[/tex]

[tex]5=y[/tex] <-- y-intercept: (0,5)

[tex]-4x+7=2y-3[/tex]

[tex]-4x+7=2(0)-3[/tex]

[tex]-4x+7=-3[/tex]

[tex]-4x=-10[/tex]

[tex]x=\frac{5}{2}[/tex] <-- x-intercept: (5/2,0)

Answer:

Number 1= 5th vertical line

number 2= 2nd vertical line

number 3= halfway between 2nd and 3rd vertical line

Step-by-step explanation:

Answer:

  x + y = 3 (infinite solutions)

Step-by-step explanation:

You observe that all of the numbers in the second equation are multiples of 3. When you divide the second equation by 3, it becomes identical to the first equation. The equations are said to be "dependent."

That means both equations graph as the same line, so will intersect at every point on the line. The system of equations has an infinite number of solutions.

_____

Additional comments

There are a number of ways to solve a system of equations. Two methods commonly taught are "substitution" and "elimination". Either one works here.

We can solve the first equation for y by subtracting x from both sides:

  x +y -x = 3 -x

  y = -x +3 . . . . . . simplify

In this form, the slope is the coefficient of x. Here, it is -1.

This expression for y can be substituted into the other equation:

  3x +3(-x +3) = 9

  3x -3x +9 = 9 . . . . . eliminate parentheses

  9 = 9 . . . . . . . . . . . simplify

This is true for all values of x or y. There are an infinite number of solutions.

Answer:

There are infinite numbers of solution.

Step-by-step explanation:

[tex]\begin{gathered}\begin{gathered}\begin{gathered}\small\begin{cases}\sf{x + y= \bf{3}} \\ \\ \sf{3x + 3y= \bf{9}}\end{cases} \end{gathered}\end{gathered}\end{gathered}[/tex]

Solving the question and finding the final answer.

Here,

Now, from equation (i),

[tex]\twoheadrightarrow{\sf{x + y = 3}} [/tex]

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

Now, putting the value of x in equation (ii)

[tex]\begin{gathered} \qquad{\longrightarrow{\sf{3x + 3y = 9}}} \\ \\ \qquad{\longrightarrow{\sf{3(3 - y) + 3y = 9}}} \\ \\ \qquad{\longrightarrow{\sf{9 - 3y + 3y = 9}}} \\ \\ \qquad{\longrightarrow{\sf{9 - 0 = 9}}} \\ \\ \qquad{\longrightarrow{\sf{9 - 0 = 9}}} \\ \\ \qquad{\longrightarrow{\sf{\underline{\underline{\red{9 = 9}}}}}}\end{gathered}[/tex]

This statement is true for all values of x and y.

So, there are infinite numbers of solution.

[tex]\underline{\rule{220pt}{3pt}}[/tex]

Answer:

57 degrees

Step-by-step explanation:

It is an isosceles triangle because QP has the same length as OP. So the base angles will be the same.

Step-by-step explanation:

since f(x) is overall increasing for the interval -3 < x < 0,

A and B both fit in there and are correct answers.

Answer:

C. 3.5 < x < 4.5

Step-by-step explanation:

Anything that is above 1 (4, 9, etc)  is increasing and anything that is below 1 (0.4, -3, etc) is decreasing. A and B are wrong because they are negative or below 1 and it isn't D because C is increasing.

10 gallons of blue paint was mixed with 16 gallons of yellow paint to make 26 total gallons.

Let x represent the total amount of paint.

(1/2)x + (4/5)x = 26

1.3x = 26

x = 20

Therefore:

Amount of blue paint = (1/2)x = (1/2)*20 = 10 gallons

Amount of yellow paint = (4/5)x = (4/5)*20 = 16 gallons

10 gallons of blue paint was mixed with 16 gallons of yellow paint to make 26 total gallons.

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Answer:

the total surface area of this triangular prism is 976cm2

Answer:

i think TSA = 976 cm²

Step-by-step explanation:

TSA = 2(1/2×14×24) + (14+25+25)×10

TSA = 2(7×24)+(64×10)

TSA = 336+640

TSA = 976 cm²

Answer:

b. 4

Step-by-step explanation:

I hope this helps!!

Answer:

y = 5

Step-by-step explanation:

-4(2y) +11y = 15

-8y + 11y = 15

3y = 15

y = 5

Answer: R = 3/5

Step-by-step explanation:

i think

Answer:

B?

COREEC IF WRONG

Answer:

y=-2/3x-3

Step-by-step explanation:

let the slope of the given line =m1

let the slope of the perpendicular line,=m2

m2=-1/m1

m2=-1/3/2

m2=-2/3

Now the equation of the perpendicular line

y--5=-2/3(x-3)

y+5=-2/3(x-3)

3y+15=-2x+6

3y=-2x+6-15

3y=-2x-9

y=-2/3x-3

Answer:

l=33 feet

w=7 feet

Area= 231 feet

Step-by-step explanation:

Answer:

The answer is 12 minutes

Step-by-step explanation:

This is because if you're seeing how long it takes to get from 15 inches to 9 inches, that is a difference of 6 inches.

6 / 0.5 inches per minute = 12 minutes

The tank would take time of 12 minutes for the water level to measure 9 inches deep.

A two-step problem is a word problem that must be addressed in two steps. While many of these questions have only one step, a two-step word problem requires the solution of two separate equations.

Two separate operations (like multiplication and addition) or two of the same operation may be utilized in the two-step word problem (like subtraction and subtraction).

Given a tank measurement of 15 inches, it shrinks by 0.5 inches per minute.

We must calculate the minute when the water level reaches 9 inches deep.

The difference in inches is 6 inches.

15 inches - 6 inches = 9 inches

Calculating for minutes,

⇒ 6 / 0.5

⇒ 12 minute

Therefore, the tank would take time of 12 minutes for the water level to measure 9 inches deep.

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The value of x from the system of equation is 0

Given the systems of equation

–3x + 8y = 16

3x + 4y = 8

Using the elimination method.

Add both equations

-3x + 3x + 8y + 4y = 16 + 8

12y = 24

y = 24/12

y = 2

Substitute y = 2 into equation 2:

3x + 4y = 8

3x + 4(2) = 8

3x = 8 - 8

3x = 0

x = 0

Hence the value of x from the system of equation is 0.

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Answer:

I think that if u times it i will be 80 s and 320 f

Step-by-step explanation:

Answer:

Percentage of one lap around the track of

the total race = 0.25%

It will take 300 laps to complete 75% of the race.

Step-by-step explanation:

1.2/480=0.0025

0.0025*100=0.25

480/100*75= 360

360/1.2=300

Step-by-step explanation:

I think your question is not complete

resend it if you don't mind

They're easier to get than both mortgages and car loans

Answer:

390.377

Step-by-step explanation:

pi*r^2

Answer:

2/63

Step-by-step explanation:

I'm going to assume that the x is a multiplication symbol.

7 x 9 = 63

Therefore, the simplest form would be 2/63