1. (2 - 3i) + (6+5i)

Answer:

62/78*( 1 6/8)

= 31/39*( 1 6/8)

= 31/29*( 1 3/4 )

= 31/39* 7/4

Multiply the numerator together and the denominator together

= 217/156

Step-by-step explanation:

LIKE IT PLS AND 5 STARS

Answer: Integers

Step-by-step explanation: To help introduce the set

of integers, let's use the number line shown below.

Notice that on a number line, 0 is in the middle, all numbers to the

left of 0 are negative, and all numbers to the right of 0 are positive.

The set of integers includes the set of whole numbers, {0, 1, 2, 3, ...},

which appear at 0 and to the right of 0 on the number line.

The set of integers also includes {-1, -2, -3, ...} which

appear to the left of 0 on the number line.

So the ste of integers can be written as {...-3, -2, -1, 0, 1, 2, 3...}.

Answer:

Integers

Step-by-step explanation:

a positive (+) or negative (-) number with no fractional parts. zero (0) Is also an integer

Examples: -3, 3

Answers:

=================================================

Explanation:

x = amount of the 95% concrete mix

y = amount of the 80% concrete mix

Type A mix has 95% concrete. If we have x pounds of this, then 0.95x pounds is pure concrete. Type B mix has 80% concrete. If there are y pounds of this, then 0.80y pounds is pure concrete.

So far we have 0.95x+0.80y pounds of pure concrete from the two mixes

Divide this over 30 to get (0.95x+0.80y)/30

Setting this equal to 0.90 means we want the final mix to be 90% concrete.

Since we want 30 pounds total, we can say x+y = 30 which solves to y = 30-x. We'll use this later

-------------------------------

(0.95x+0.80y)/30 = 0.90

0.95x+0.80y = 30*0.90 .... multiply both sides by 30

0.95x+0.80y = 27

0.95x+0.80(30-x) = 27 ..... plug in y = 30-x

0.95x+0.80*30-0.80*x = 27

0.95x+24-0.80x = 27

0.15x+24 = 27

0.15x = 27-24 ..... subtracting 24 from both sides

0.15x = 3

x = 3/0.15 ........... dividing both sides by 0.15

x = 20

y = 30-x

y = 30-20

y = 10

Answer:

500 centimeters

Step-by-step explanation:

cause it is

Answer:

Step-by-step explanation:

First of all cross multiply

That's

g( wd + f ) = a + bc

Multiply the terms at the left side of the equation

We have

gwd + fg = a + bc

Send fg to the right side of the equation

That's

gwd = a + bc - fg

Divide both sides by dg to make W stand alone

We have the final answer as

Hope this helps you

Answer:

This means that 1cm on the map means 10miles on actual land so is it the same for 30miles

That is 1cm on map 30 cm on land

Answer:

(a) <AED=50°

(b) <DAB=65°

(c) <BCD=45°

(d) Reflex <ABC=225°

Step-by-step explanation:

(a) 180-65-65=50

(b) 180-115=65 (ADC is 115)

(c) 180-135-45

(d) Reflex <ABC 360-135=225

Answer:

When 4864 books are sold

Step-by-step explanation:

Create an equation where x is the number of books produced:

The first method will be represented by 10.75x + 82,910

The second method will be represented by 23.25x + 22,110

Set these equal to each other and solve for x:

10.75x + 82,910 = 23.25x + 22,110

82,910 = 12.5x + 22,110

60,800 = 12.5x

4864 = x

So, the costs will be the same for both methods when 4864 books are sold

Answer:

3=0.6%

Step-by-step explanation:

(10% of 20%) of %30

30% of 0.02

0.006=0.6%

Answer:

[tex]2\sqrt{3} -3\sqrt{3}[/tex]

Step-by-step explanation:

We need a number that is able to be square rooted, and then we square root it and take it out so it is simplified

[tex]\sqrt{4*3} -\sqrt{9*3}[/tex]

The square root of 4 is 2, and the square root of 9 is 3.

[tex]2\sqrt{3} -3\sqrt{3}[/tex]

Answer:

19

Step-by-step explanation:

Given

(6 + h² - j) ÷ 2 , substitute h = 6 and j = 4 into the parenthesis

= (6 + 6² - 4) ÷ 2

= (6 + 36 - 4) ÷ 2

= 38 ÷ 2

= 19

Answer:

Yes

Step-by-step explanation:

If your expression is 2*4 it will equal 8 and if your still not sure divide 8 by 4 and your answer is 2 or 8 by 2 and you'll get 4.

Answer:

D

Step-by-step explanation:

Subtract the exponents

The Answer is: y=2,5

Answer:

y = -5

y = 2

Step-by-step explanation:

Find 2 factors of -10 that add up to 3

This will be 5 and -2

So, we can factor this:

y² + 3y -10 = 0

(y + 5)(y - 2) = 0

Set each factor equal to 0 and solve:

y + 5 = 0

y = -5

y - 2 = 0

y = 2

So, the solutions are y = -5 and y = 2

Answer:

Length of the hypotenuse = 23.43ft

Step-by-step explanation:

First leg = 15ft

Second leg = 18ft

Length of the hypotenuse = ?

In a right angle triangle,

Hypotenuse^2 = opposite^2 + Adjacent^2

Let first leg and second leg of the triangle be opposite and adjacent respectively

Hypotenuse^2 = opposite^2 + Adjacent^2

= 15^2 + 18^2

= 225 + 324

= 549

Hypotenuse^2 = 549

Find the square root of both sides

√Hypotenuse^2 = 549

Hypotenuse = 23.43ft to the nearest of a hundredth

Length of the hypotenuse = 23.43ft

Answer:

1.

Step-by-step explanation:

Any real value to the power of 0 is 1.

Answer:

Ito

Step-by-step explanation:

Make them to their closest common multiple which is twelve.

Next times 7 by 4 as 3*(4) is 12

Then time 9 by 3 as 3*(4) is 12

7*4=28

9*3=27

Therefore ito washes at a faster rate

Answer:

ITO

Step-by-step explanation:

ITO

He can wash 7 cars in 3 hours.

a) 3 x 60 min = 180 minutes

b) 180\7 = 25.71 minutes per car

JOAN

She can wash 9 cars in 4 hours

a) 4 x 60 = 240 minutes

b) 240\9 = 26.66 minutes per car

Answer:

3

Step-by-step explanation:

She only bought one chocolate so you will subtract 8.32 from her total, 27.79, when you do that you will get 19.47.  You do that so you can know the total of the stuffed animals by them self.  Then all you have left in the total is her stuffed animals so you divide 19.47 by 6.49, when you do that you get three, so that means that she got three stuffed animals.

Step-by-step explanation:

thats the answer right there

Answer:

-| -8 |  is less than |-(-8)|

Step-by-step explanation:

-| -8 | =-8

|-(-8)| =8

they are not equal

-| -8 |  is less than |-(-8)|

Answer:

last option is correct because the standard form of polynomial means the arrangement of power in descending order

Answer: dark chocolate 16/25 carmel 1/12

Step-by-step explanation:

there are 16 dark chocolates

to find the probability you have to add up all of your numbers

2+7+16= 25

so the probablity of drawing a dark chocolate is 16/25

repeat the steps but subtract 1 from the total since you ate one you didn't put it back.  

so the probability of drawing a carmel is 2/24 or simplified 1/12

Answer:

19

Step-by-step explanation:

Answer:

Domain and range: All possible real numbers.

Step-by-step explanation:

Since both end contains arrows, that means that it keeps going on and on.

Answer:

Option (C) and (D)

Step-by-step explanation:

Given piecewise function is,

f(x) = 2x, x < 1

        5, x = 1

        [tex]x^{2}[/tex], x > 1

Option (A),

x = 5 means x > 1

So the function will be,

f(x) = [tex]x^{2}[/tex]

f(5) = (5)²

     = 25

Therefore, f(5) = 1 is not correct.

Option (B),

x = -2 means x < 1

f(x) = 2x will be applicable.

f(-2) = 2(-2) = -4

Therefore, f(-2) = 4 is not correct.

Option (C)

For x = 1,

f(1) = 5

Therefore, f(1) = 5 is the correct option.

Option (D)

x = 2 means x > 1 and the function defined will be,

f(x) = x²

f(2) = 2²

     = 4

Therefore, f(2) = 4 will be the correct option.

Options (C) and (D) will be the answer.

Answer:

Hey there!

There are 3+4+6+3, or 16 females.

3 of the females are seniors.

Thus, the percent is 3/16, or 19%

Let me know if this helps :)

Answer:

60

Step-by-step explanation:

12 ÷ (3 - 1) = 6

6 + 4 = 10

10 × 6 = 60

Answer:

she purchased 6 compact discs

Step-by-step explanation:

13.95 × 6 + 1.95= 85.65

Answer:

6

Step-by-step explanation: