How many factors of 3 does the number 135 have?

Answer:

The solution for x and y in (2x - 1) + (3y + 2)i = 5 – 4i cannot be determined.  

Solution:

From question, the equation given is

(2x - 1) + (3y + 2)i = 5 – 4i

Multiplying the terms inside the bracket (3y + 2) with i, the above equation becomes,

(2x – 1) + 3iy + 2i = 5 – 4i  

Removing the parenthesis in (2x – 1), the above equation becomes,

2x -1 + 3iy + 2i = 5 - 4i

2x – 1 + 3iy + 2i – 5 + 4i = 0  

Rearranging the terms, the above equation becomes

2x + 3iy + 4i + 2i -1 -5 = 0

2x + 3iy + 6i – 6 = 0

The above equation cannot be simplified further. Hence the solution for x and y cannot be determined.

Answer:

A

Step-by-step explanation:

9*2=18

18/2=9

18 divided by 2 equals 9 because A. 2 times 9 equals 18.

Here, we have,

given that,

18 divided by 2 equals 9

now, we have to find why it is 9.

now, we know that,

9*2=18

i.e. 2 times 9 = 18

so, we get,

9*2=18

=> 18/2=9

Hence, 18 divided by 2 equals 9 because A. 2 times 9 equals 18.

To learn more on division click:

brainly.com/question/21416852

#SPJ6

To solve the equation 7 - 4x = -12 - 3x, combine like terms and isolate x on one side of the equation. The solution is x = 19.

To solve the equation 7 - 4x = -12 - 3x, we need to isolate the variable x on one side of the equation. First, we can combine like terms by subtracting 7 from both sides:

7 - 4x - 7 = -12 - 3x - 7

-4x = -19 - 3x

Next, we can simplify the equation by adding 3x to both sides:

-4x + 3x = -19 - 3x + 3x

-x = -19

Finally, we can solve for x by multiplying both sides by -1:

x = 19

Therefore, the value of x that is a solution for the equation 7 - 4x = -12 - 3x is x = 19.

https://brainly.com/question/18322830

#SPJ2

Answer:

Step-by-step explanation:

0.000000018 = 1.8 * 10^-8

Final answer:

To express the number 0.000000018 in scientific notation, it is written as 1.8 × 10⁻⁸. Additionally, to multiply 0.00000000552 by 0.0000000006188 in scientific notation, the result is 3.415776 × 10⁻¹⁸.

Explanation:

To express the number 0.000000018 in scientific notation, we need to place the decimal after the first non-zero digit, and then count the number of places the decimal has moved. In this case, we move the decimal to the right of the 1 (the first non-zero digit), so it moves 8 places to the right. Therefore, 0.000000018 can be expressed as 1.8 × 10⁻⁸.

For the additional exercise, we'll convert each number to scientific notation and then multiply them:

Now, multiplying these we get:

5.52 × 10⁻⁹ × 6.188 × 10⁻¹⁰ = 34.15776 × 10⁻¹⁹ which simplifies to 3.415776 × 10⁻¹⁸ in scientific notation.

Answer: Yep! I agree

Step-by-step explanation: Ok to shows the 10 and 30 are proportional... This means 8 and n would be too

Answer:

186

Step-by-step explanation:

[tex]2x+10(312)+58(5)=3782[/tex]

[tex]2x+3410=3782[/tex]

[tex]2x=372[/tex]

[tex]x=186[/tex]

Answer:

Well to find the area of a circle given the radius you do: pi*12^2 Which is 452.4 in2

Step-by-step explanation:

Andre's Mistake in reasoning is assuming that 7 4/8 is equal to 7 1/2. Drawing a number line can prove that the fractions may be equivalent, but the whole numbers are not.

Andre made a mistake in his reasoning.

He incorrectly assumed that 7 4/8 is equal to 7 1/2. The fractions 4/8 and 1/2 are actually equivalent, but the whole numbers 7 and 7 are not.

To prove this, you can draw a number line and divide it into equal parts.

Taking the fractions 4/8 and 1/2, you will see that they represent the same distance, but they start at different points on the number line.

Therefore, 5 3/4 + 2 1/4 is not equal to 7 1/2.

Learn more about Mistake in reasoning here:

https://brainly.com/question/38166855

#SPJ6

Answer:

  8×10⁻³

Step-by-step explanation:

You want the value 0.00792398 rounded to the nearest thousandth.

The digit in the place to the right of the thousandth place is 9 in the ten-thousandths place. That is greater than 4, so the digit in the thousandths place needs to increase by 1 before other digits are dropped. The result is ...

  0.008 = 8×10⁻³

To estimate 0.00792398 to the nearest thousandth, round the number to the third decimal place. As the fourth decimal is 9, we round up to get 0.008. This expressed as single digit times a power of ten becomes 8 * 10^-3.

In this problem, you are asked to estimate 0.00792398 to the nearest thousandth. That means you need to round the number to the third decimal place. Firstly, you look at the fourth decimal place, which is 9. If this digit is 5 or more (which it is in this case), we round the third decimal number up. So 0.00792398 rounded to the nearest thousandth becomes 0.008.

Now, to express the answer as a single digit times a power of ten, you would express 0.008 as 8 * 10^-3. This is because -3 powers of ten move the decimal place three places to the left and leaves us with the original number 0.008.

https://brainly.com/question/13769251

#SPJ3

Answer:

The original cost of the pair of shoes before tax is $48.95

Step-by-step explanation:

* Lets explain how to solve the problem

- Assume that the cost of the pair of shoes is 100% before taxes

∵ The cost of the pair of shoes is 100% before taxes

∵ The tax is 7.25%

∴ The price of the pair of shoes after tax = 100% + 7.25% = 107.25%

- This 107.25% equivalent to the price of the pair of shoes including

  the tax

∵ The cost of the pair of shoes including tax is $52.50

- Lets use the cross multiplication to find the cost of the pair of

 shoes before  tax

∵     100%  ⇒  107.25%

         ?       ⇒  52.50

- ? represents the cost of the pair of shoes before tax

∴ ? = [tex]\frac{100*52.50}{107.25}=48.95[/tex]

∴ The original cost of the pair of shoes before tax is $48.95

Answer:

(-5,-8)

Step-by-step explanation:

If M(x,y) is the midpoint of the segment CD, where [tex]C(x_1,y_1),\ D(x_2,y_2),[/tex] then

[tex]x=\dfrac{x_1+x_2}{2}\\ \\y=\dfrac{y_1+y_2}{2}[/tex]

You are given two points A(-2,-3) and B(1,2), let point F be the point with coordinates (x,y). Yuo know, that point A is the midpoint of BF, then

[tex]x_A=\dfrac{x_B+x_F}{2}\\ \\y_A=\dfrac{y_B+y_F}{2}[/tex]

Substitute known coordinates:

[tex]-2=\dfrac{1+x}{2}\Rightarrow 1+x=-4,\ \ x=-5\\ \\-3=\dfrac{2+y}{2}\Rightarrow 2+y=-6,\ \ y=-8[/tex]

So, point F has coordinates (-5,-8)

Answer:

382000

Step-by-step explanation:

The larger number from the two numbers which has a difference of 841 and where the smaller number is 471, is calculated to be 1312

The question tells us that the difference of two numbers is 841 and the smaller number is 471. We can express this situation using a simple equation: x - 471 = 841, where x is the larger number that we're trying to find. If we add 471 to both sides of the equation to isolate x, the equation becomes x = 841 + 471, which gives us x = 1312. So, the larger number is 1312

https://brainly.com/question/666360

#SPJ12

The question asked to solve for a number when given the difference between that number and another number is 841, and the one number is 471. By switching the subtraction problem into an addition one, we add 841 to 471 to get the larger number, which is 1312.

Explanation:

The student is asking to find a second number when the difference of it and another number is known. The information given is that the difference between two numbers is 841, and the smaller number is 471.

The question can be solved using simple subtraction in reverse, also called addition. You see, when we know the difference between two numbers and one of the numbers, we can find the other number by adding the difference to the known number, if the known number is smaller, which is the case here.

To find the missing number we simply add the difference (841) to the smaller number (471). It will look like this: 471 + 841 = 1312.

Therefore, the larger number in this pair of numbers is 1312.

Learn more about Subtraction here:

https://brainly.com/question/13378503

#SPJ6

Answer:

u tell me

Step-by-step explanation:

its been 3 years.  did u figure it out?

Answer:

The Answer is 4

Step-by-step explanation:

75 Miles divided by 5 Gallons is 15. Take that and divide 60 miles by 15. Your answer is 4 Gallons.

Hank's pickup consumes gas at a rate of 15 miles per gallon. To travel 60 miles, it would need 4 gallons of gas.

To solve this problem, you need to first establish the rate of gas consumption for Hank's pickup. According to the data given, we know that Hank's pickup travels 75 miles with 5 gallons of gas which gives us a rate of 15 miles per gallon. The next step is to find out how much gas Hank's pickup will consume to travel 60 miles. So you divide the 60 miles by the rate of consumption which is 15 miles per gallon. The result is 4 gallons. Therefore, Hank's pickup will need 4 gallons of gas to travel 60 miles.

https://brainly.com/question/16541056

#SPJ2

Answer:

There are 13,782.47 feet in 4.2 kilometers ⇒ answer A

Step-by-step explanation:

- Cilia cycles 4.2 km every morning

- We need to convert the kilometers to feet

- 1 mile = 1.609 kilometers

- 1 mile = 5,280 feet

* Lets do that

∵ 1 mile = 1.609 km

∵ 1 mile = 5,280 feet

- Equate them

∴ 1.609 km = 5, 280 miles

* Now we can use the cross multiplication to find how many feet in

 4.2 kilometers

→    km       :    feet

→   1.609    :    5,280

→   4.2        :    x

- By using cross multiplication

∴ 1.609 x = 4.2 × 5,280

- Multiply 4.2 by 5,280

∴ 1.609 x = 22176

- Divide both sides by 1.609

∴ x = 13782.47

∵ x represents the number of feet in 4.2 kilometers

∴ There are 13,782.47 feet in 4.2 kilometers

Answer:

yeah eggs dee

Step-by-step explanation:

the genius up top is right

Answer:

A

Step-by-step explanation:

Under a reflection in the x- axis

a point (x, y ) → (x, - y )

Under a rotation about the origin of 90°

a point (x, y ) → (- y, x )

Under a reflection in the y- axis

a point (x, y ) → (- x, y )

Under a rotation of 180°

a point (x, y ) → (- x. - y )

Here A(3, - 5 ) → A'(3, 5 ) → A

Answer:

You know that √x = 3.4, therefore x = 3.4² = 11.56

Hope I helped :)

If the square root of x has a decimal approximation of 3.4, then x is between 11 and 12.

We have,

If the square root of x has a decimal approximation of 3.4, we can write this as:

√x ≈ 3.4

To find the range of integers that x could fall between, we can square both sides of the equation:

x ≈ (3.4)²

x ≈ 11.56

So, x is approximately 11.56.

The two consecutive integers that x falls between are 11 and 12.

Thus,

If the square root of x has a decimal approximation of 3.4, then x is between 11 and 12.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ3

Answer:

I believe that the rate of change would be zero.

Step-by-step explanation:

When you look at the y value you notice that the 5 is repeated so this means that the rate of change is 0. i hope this helps.

Answer:

Part a) [tex]\frac{132}{89}[/tex]

Part b) 132:89 vs 132 to 89

Part c) [tex]\frac{66}{7}[/tex]

Part d) 66:7 vs 66 to 7

Step-by-step explanation:

Let

x ----> the number of boys

y ----> the number girls

z ----> the number of adults

we have

x=132, y=89, z=14

Part a) Write the ratio of the number of boys to the number of girls.

To find the ratio of the number of boys to the number of girls, divide the number of boys by the number of girls

so

[tex]\frac{x}{y}[/tex]

substitute

[tex]\frac{132}{89}[/tex]

Part b) Write the same ratio using another form (A: B vs. A to B)

we have

[tex]\frac{132}{89}[/tex]

The other form is

132:89 vs 132 to 89

Part c) Write the ratio of the number of boys to the number of adults

To find the ratio of the number of boys to the number of adults, divide the number of boys by the number of adults

so

[tex]\frac{x}{z}[/tex]

substitute

[tex]\frac{132}{14}[/tex]

Simplify

[tex]\frac{66}{7}[/tex]

Part d) Write the same ratio using another form

The other form is

66:7 vs 66 to 7

Answer:

x = -4, y = 8.

Step-by-step explanation:

Question 16.

8x + y = -24    ........(A)

-3x - 2y = -4    ........(B)

Multiply (A) by 2:

16x + 2y = -48   Adding this to equation (B):

13x = -52

x = -4

Substituting this value of x in Equation (A):

8(-4) + y = -24

y = -24 + 32 = 8.

Answer:

Answer for the first part of question 16 is y =-24 - 8x

1st subtract 8x from both sides: 8x + y - 8x = -24 - 8x

2nd simplify: -24 - 8x

Answer for the 2nd part of Q. 16 is y = -(-4+3x)/2

1st add 3x to both sides: -3x - 2y + 3x = -4 + 3x

2nd simplify: -2y = -4 + 3x

3rd divide both sides by -2: -2y ÷ -2 = 4 ÷ -2 +3x ÷ -2

4th simplify: (-4 + 3x)/2

Answer to the 1st part of Q. 17 is y = (-1 - 2x)/3

1st subtract 2x from both sides 2x + 3y - 2x = -1 - 2x

2nd simplify: -3y= -1 - 2x

3rd divide both sides by -3: -3y ÷ -3 = 1 ÷ -3 - 2x ÷ -3

4th simplify: y = (-1 - 2x)/3

Answer to 2nd part of Q.17: y = 6 + 7x ÷ 10

1st Add 7x to both sides: -7x + 10y + 7x = 6 + 7x

2nd simplify: 10y=6+7x

3rd divide both sides by 10: 10y ÷ 10 = 6 ÷ 10 + 7x ÷ 10

4th simplify: y = 6 + 7x ÷ 10

sorry, but I don't know the answer to Q.18 but I hope I helped on questions 16 and 17 :)

Answer:

50 mins

Step-by-step explanation:

Set up the following equation:

80-0.6m=100-1m

1) Add 1m to both sides:

80+0.4m=100

2) Subtract 80 from both sides:

0.4m=20

3) Divide both sides by 0.4:

m=50

Let me know if you have any difficulty understanding how I set up the equation!

Answer:8

Step-by-step explanation:

Divide the amount of money she has by the amount the bottles cost. And you will get 8! Check your answer by multiplying 8 by 22.87

Final answer:

Nidhi can buy a maximum of 8 bottles of wine with her $185 budget, as each bottle costs $22.87.

Explanation:

The question involves finding out the maximum number of bottles of wine Nidhi can buy with her budget of $185, given that each bottle costs $22.87. To find the answer, we need to divide the total amount of money Nidhi has by the cost of one bottle of wine.

Step 1: Calculate the total number of bottles by dividing the total budget by the cost per bottle:

Total Number of Bottles = Total Budget / Cost per Bottle
Total Number of Bottles = $185 / $22.87

Step 2: Perform the calculation:

Total Number of Bottles ≈ 8.09

Since Nidhi cannot buy a fraction of a bottle, she can purchase a maximum of 8 bottles of wine with her budget of $185.

A)

5x+y=13

−x+2y=−7

Multiply each  term in the first equation by -2:

5x + y = 13 x -2 = -10x - 2y = -26

Now add that to the second equation:

-10x - 2y = -26 + −x+2y=−7

= -11x = -33

Divide each side by -11

X = -33 / -11

X = 3

Now you have x, replace it in the first equation and solve for y:

5(3) + y = 13

Simplify:

15 + y = 13

Subtract 15 from both sides:

y = 13 -15

y = -2

Solution = (3,-2)

B)

4x+5y=35

−3x+2y=−9

Multiply each term in the second equation by -2.5:

7.5x -5y = 22.5

Add this to the first equation:

4x+5y=35  + 7.5x -5y = 22.5

= 11.5x = 57.5

Divide both sides by 11.5:

x = 57.5 / 11.5

x = 5

Now you have x, replace x in one of the equations to solve for y:

4(5) + 5y = 35

Simplify:

20 + 5y = 35

Subtract 20 from both sides:

5y = 15

Divide both sides by 5:

y = 15/5

y = 3

Solution = (5,3)

Answer:

53 students on each bus

Step-by-step explanation:

506-29=477 (take out the students that went by car)

477/9 = 53 (distribute 477 students evenly in 9 buses)

To write a percent as a decimal, first remember that a percent is a ratio that compares a number to 100. Let's say we wanted to convert 82% to a decimal. We can think of 82% as the ratio 82 to 100 or 82 ÷ 100. When we divide by 100, it moves the decimal point 2 places to the left so 82 ÷ 100 would move the decimal point 2 places to the left which would give us .82. Therefore, 82% would = 0.82.

Final answer:

To convert a percent to a decimal, represent the percent as a fraction with a denominator of 100 and divide the numerator by the denominator. A percent is a ratio whose denominator is 100, making this conversion straightforward.

Explanation:

To change a percent to a decimal, you need to express the percent value as a fraction with a denominator of 100. For example, if you have a percent like 75%, you represent it as the fraction 75/100. Then, you divide the numerator by the denominator, which in this case is 75 divided by 100, giving you a decimal of 0.75.

When calculating percents, it's essential to understand that a percent is a ratio with a denominator of 100. So every percent can be written as a fraction over 100, simplified if possible, and then easily converted to a decimal.

To illustrate the reverse process, for converting a decimal to a percent, you'd take a decimal such as 0.45, write it as the fraction 45/100 (which is already simplified since the denominator is 100), then express it as a percent, which would be 45%.

Answer:

52

Step-by-step explanation:

Complementary angles are two angles that add up to equal 90 degrees

90-38= 52

Therefore the complementary angle or "complement" of 38 is 52 degrees

Answer:

52⁰

Step-by-step explanation:

Complement of angke = 90 - angle

Complement = 90 - 38 = 52⁰

Answer:

The quadrilateral is not a rectangle

Step-by-step explanation:

we know that

If a quadrilateral ABCD is a rectangle

then

Opposite sides are congruent and parallel and adjacent sides are perpendicular

Remember that

If two lines are parallel, then their slopes are the same

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)

The formula to calculate the slope between two points is equal to

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

we have

A(-5,5), B(1,8), C(4,2), and D(-2,-2)

Plot the figure to better understand the problem

see the attached figure

Find the slope of the four sides and then compare

step 1

Find slope AB

A(-5,5), B(1,8)

substitute in the formula

[tex]m=\frac{8-5}{1+5}[/tex]

[tex]m=\frac{3}{6}[/tex]

[tex]m_A_B=\frac{1}{2}[/tex]

step 2

Find slope BC

B(1,8), C(4,2)

substitute in the formula

[tex]m=\frac{2-8}{4-1}[/tex]

[tex]m=\frac{-6}{3}[/tex]

[tex]m_B_C=-2[/tex]

step 3

Find slope CD

C(4,2), and D(-2,-2)

substitute in the formula

[tex]m=\frac{-2-2}{-2-4}[/tex]

[tex]m=\frac{-4}{-6}[/tex]

[tex]m_C_D=\frac{2}{3}[/tex]

step 4

Find slope AD

A(-5,5), D(-2,-2)

substitute in the formula

[tex]m=\frac{-2-5}{-2+5}[/tex]

[tex]m=\frac{-7}{3}[/tex]

[tex]m_A_D=-\frac{7}{3}[/tex]

step 5

Verify if the opposites are parallel

Remember that

If two lines are parallel, then their slopes are the same

The opposite sides are

AB and CD

BC and AD

we have

[tex]m_A_B=\frac{1}{2}[/tex]

[tex]m_C_D=\frac{2}{3}[/tex]

so

[tex]m_A_B \neq m_C_D[/tex]

It is not necessary to continue verifying, because two of the opposite sides are not parallel

therefore

The quadrilateral is not a rectangle