Complex Numbers
Subtract.
7-(-6+3i)-(-3-i)

Answer:

There are 46 more skiers than snowboarder

Step-by-step explanation:

Given

Ratio of Snowboarders to Skiers

On Friday:

[tex]Ratio = 8 : 3[/tex]

On Saturday:

[tex]Ratio = 4 : 7[/tex]

Population = 168

Required

Determine the difference in the number of skiers and snowboarders on Saturday

On Saturday, we have

[tex]Ratio = 4 : 7[/tex]

Calculate Total

[tex]Total = 4 + 7[/tex]

[tex]Total = 11[/tex]

Calculate the number of skiers

[tex]Skiers = \frac{7}{11} * 168[/tex]

[tex]Skiers = \frac{1176}{11}[/tex]

[tex]Skiers = 107[/tex] (Approximated)

Calculate the number of snowboarders

[tex]Snowboarders = \frac{4}{11} * 168[/tex]

[tex]Snowboarders = \frac{672}{11}[/tex]

[tex]Snowboarders = 61[/tex] (Approximated)

Calculate the difference

[tex]Difference = 107 - 61[/tex]

[tex]Difference = 46[/tex]

Hence, there are 46 more skiers than snowboarder

Answer:63

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]4+3\left(15-2^3\right)\\\\3\left(15-2^3\right)=21\\\\=4+21\\\\=25[/tex]

Answer:

25

Step-by-step explanation:

4+3(15-2^(3)

4+3(15-(2*2*2)

4+3(15-8)

4+3(7)

4+21=25

Step-by-step explanation:

Hey, there!!

Given,

cos theta = 0.5

To convert it into angle, you have to take cos to right side making it (cos inverse).

Therefore, theta = cos inverse (0.5)

= 60°.

Hope it helps......

Answer:

(5,10)

Step-by-step explanation:

So we have the system of equations:

[tex]y=x+5\\3x+y=25[/tex]

To solve, we can use substitution.

Substitute the first equation into the second:

[tex]3x+y=25\\3x+(x+5)=25[/tex]

Combine like terms:

[tex]4x+5=25[/tex]

Subtract 5:

[tex]4x=20[/tex]

Divide by 4:

[tex]x=5[/tex]

Now, substitute this into the first equation:

[tex]y=x+5\\y=5+5[/tex]

Add:

[tex]y=10[/tex]

So, our answer is (5,10)

And we are done :)

Answer:

1=27

2=34

Step-by-step explanation:

1)9y power 2÷3

or, y=9 power 2÷3

or, y=9×9÷3

or, y=81÷3

or, y=27

2) (8x power 2+4x)÷2

=(8x×8+4x)÷2

=(64x+4x)÷2

=68x÷2

or, x=68÷2

or, x=34

Answer:

The answer is C in my opinion and it is one of confusing question i have ever seen

Step-by-step explanation:

If he scored 351 points last years and he plays 18 games this year and if we want to know the points that he need to beat last year score in thsi year we need to divide 351÷18=19.5 so he will need to have no morethan 20 points because 19.5 is also enough to get the score

I hope u like it

Answer:

Step-by-step explanation:

The real part is everything that does not multiply i. The imaginary part is everything that does multiply i.

Conventionally, the real part is written first:

  z = -32 +73i

Re(z) = -32

Im(z) = 73

Answer:

Population: A) All woman in the country

Step-by-step explanation:

Sample: A) The 1004 woman selected

Answer:

I think the value of x might be 127°

Answer:

60

Step-by-step explanation:

Answer: yes

Step-by-step explanation:

Answer:

I think so

Step-by-step explanation:

I think all numbers are technically natural

Answer:

w = 9

Step-by-step explanation:

We can use ratios to solve

2        3

---- = ------

6         w

Using cross products

2w = 3*6

2w = 18

Divide by 2

w = 9

Given :

Monthly practice time , T=35 hours .

This month, he has practiced 8.5 hours in week 1, 12 hours in week 2, and 5.5 hours in week 3.

To Find :

Many more hours of practice time does Jason need to complete .

Solution :

Number of hours he practice in week 1 , [tex]t_1=8.5\ hours[/tex] .

Number of hours he practice in week 2 , [tex]t_2=12\ hours[/tex] .

Number of hours he practice in week 3 , [tex]t_3=5.5\ hours[/tex] .

Now , number of hours left is :

[tex]t=T-t_1-t_2-t_3\\\\t=35-(8.5+12+5.5)\ hours\\\\t=8\ hours[/tex]

Hence , this is the required solution .

Answer:

It's D) 97°

Step-by-step explanation:

Just stick this in ya brain

Supplementary angles => sum => 180

Answer:

D

Step-by-step explanation:

So, we know that ∠XYZ and ∠PQR are supplementary angles. This means that their total sum is 180 degrees. In an equation, this is:

[tex]\angle PQR+\angle XYZ=180[/tex]

Since we already know the measure of PQR, substitute 83 for PQR:

[tex]83+\angle XYZ=180[/tex]

Subtract 83 from both sides:

[tex](83+\angle XYZ)-83=(180)-83\\\angle XYZ=97\textdegree[/tex]

The answer is D

Answer: 10 Feet by 15 Feet

Step-by-step explanation:

Answer:

12x -28

Step-by-step explanation:

4(5x - 6) - 4(2x + 1)

Distribute

20x -24  -8x -4

Combine like terms

12x -28

Answer:

make x the subject of formula then = 6/48

Answer:

A Blue Viper

Step-by-step explanation:

A Blue Viper can travel 18 2/5 miles on 4/5  tank of gas.

It can travel on full tank:

A Red Rocket can travel 17 2/5 miles on 3/4 tank of gas.

It can travel on full tank:

A Blue Viper can travel further as:

[tex]x=2y+1[/tex]

what is [tex]10y-5x[/tex]?

all you gotta do is substitute the value of [tex]x[/tex] in the equation:

[tex]x=2y+1\\10y-5(2y+1)[/tex]

now solve for [tex]y[/tex]:

[tex]10y-5(2y+1)\\10y-10y-5=-5[/tex]

so the value of [tex]10y-5x =[/tex] [tex]\boxed{-5}[/tex]

Answer:

z = -8

Step-by-step explanation:

I'm guessing you want to find out what z is equal to, so here you go.

2z - 1 = -9 + z

2z = -8 + z

z = -8

Answer:

z = -8

Step-by-step explanation:

let's simplify the equation by getting the like terms together.

2z-1 = -9+z

first get the z's on the same side:

2z-z-1 = -9

z-1 = 9

then the constants:

z = -9+1

z = -8

Answer:

See below

Step-by-step explanation:

See attached table

Regular polygon with n sides can map onto itself n times

It will rotate 360°/n about its center every time and will map onto itself

Examples are in the attached table

Answer:

PLATO

Step-by-step explanation:

Answer:

The dimension of this rectangle = 2mm by 21mm

Where 2 mm = Width of the rectangle

21 mm = Length of the rectangle.

Step-by-step explanation:

The formula for the perimeter of a rectangle = 2(L + W)

= 2L + 2W

The perimeter = 46 mm

L = 3x + 3

W = x - 4

P = 2L + 2W

46mm = 2(3x + 3) + 2(x - 4)

46 = 6x + 6 + 2x - 8

Collect like terms

46 +8 -6 = 6x + 2x

48 = 8x

x = 48/8

x = 6

Since the Length = 3x + 3

= 3(6) + 3

= 18 + 3

= 21mm

Since the Width = x - 4

= 6 - 4

= 2mm

Therefore, the dimension of this rectangle = 2mm by 21mm

Where 2 mm = Width of the rectangle

21 mm = Length of the rectangle.

Answer:

B and D

Step-by-step explanation:

5% of 35 can be represented as 5% [tex]\cdot35[/tex].

To find equations that make this work, we need to find different ways to represent 5%.

5% can be represented as fraction - over 100. The percentage over 100 will be equal to the percent.

So, [tex]\frac{5}{100}[/tex]. Multiplying by 35 gets us [tex]\frac{5}{100}\cdot35[/tex]

This means that Choice B is correct.

Another way to represent 5% is as a decimal.

We already know that the fraction form of 5% is [tex]\frac{5}{100}[/tex]. This means that in the decimal, the number 5 will be two place values to the right of the decimal place.

0.05

So the decimal expansion of 5% is 0.05. Multiplyin by 35 get us [tex]0.05\cdot35[/tex], so choice D works too.

Hope this helped!

Answer:

Step-by-step explanation:

To find the the value of the percentage of a number divide the percentage by 100 and multiply it by the number

So we have

5 percent of 35 is written as

[tex] \frac{5}{100} \times 35 \\ = \frac{1}{20} \times 35 \\ = \frac{7}{4} [/tex]

We have the answer as

1.75

From the options the one that has the same value as the above answer are

0.05 × 35 and 5/100 × 35

Hope this helps you

Answer:

x > 23

Step-by-step explanation:

5x – 1 < 7x - 47​

Add 1 to -47, you get -46.

5x < 7x - 46

Subtract 7x from 5x.

-2x < -46

Multiply both sides to reverse the inequality.

2x > 46

Divide both sides by 2.

x > 23