Combine the like terms to create an equivalent expression:
3
z
+
2
+
(
−
5
z
)
+
6

Answer:

(4) 0

Step-by-step explanation:

Given:

Looking at the angles measures, they form series of:

This is AP with the first term of 27 and common difference of 7

We can see one of the terms of this AP is 90

Since cos 90° = 0 ⇒ cos²90° = 0 and therefore given series equals to zero as one of the terms of multiplication is zero.

So correct answer choice is  Option 4) 0

Answer: OPTION B

Step-by-step explanation:

First of all, you need to know the concept of imaginary number or i.

i (imaginary number)= √-1 ⇔ In real number world, √-1 will be undefined,  

                                               and thus this is called imaginary number

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

√-2=√2 × √-1

√-2=√2× √-1

√-2=√2 × i

√-2= √2 i

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

√-18=√9 × √2 × √-1

√-18= √9 × √2 × √-1

√-18= 3 × √2 × i

√-18= 3√2 i

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

Addition in radical numbers is as usual as normal number. HOWEVER, only numbers that has the same radical (i.e 2√3 and 7√3) can combine.

 √-2 + √-18

=√2 i + 3√2 i

=4√2 i

Hope this helps!! :)

Please let me know if you have any question

Step-by-step explanation:

3x4=12

3.14

12-3.14

[tex]\frac{20.8}{9}[/tex]

Set [tex]x[/tex] to 2.31 with 1 repeating.

[tex]x=2.31...[/tex]

Now multiply the value by 10 so we can have canceling values.

[tex]10x=23.1...[/tex]

Then we can use elimination.

[tex]10x=23.1...[/tex]

[tex]x=2.31...[/tex]

[tex]9x=20.8[/tex]

[tex]x=\frac{20.8}{9}[/tex]

Hope this helps.

頑張って!

Answer:

Set  to 2.31 with 1 repeating.  

Now multiply the value by 10 so we can have canceling values.

Then we can use elimination.

Hope this helps.

Step-by-step explanation:

Answer:

9 pennies, 6 dimes, 12 quarters.

Step-by-step explanation:

Pennies = $0.01

Dimes = $0.10

Quarters = $0.25

Let x be the number of dimes. Then (x + 3) is the number of pennies and 2x is the number of quarters.

We have x($0.10) + (x + 3)($0.01) + 2x($0.25) = $3.69

x($0.10) + (x + 3)($0.01) + 2x($0.25) = $3.69

$0.1x + $0.01x + $0.03 + $0.5x = $3.69

$0.61x = $3.66

x = 6.

Therefore Bob has 9 pennies, 6 dimes and 12 quarters.

Answer:

-2x(x^2+2x+3)

Step-by-step explanation:

-2x^3-4x^2-6x

You can only factor out the 2x the other part is not factorable.

Answer:

140

Step-by-step explanation:7 ft per minute; there are 60 minutes in an hour therefore 7 x 60 = 420ft in hour

there are 3 feet in yard, 420 feet divided by 3 = 240

Answer:

45+n = 9 (8n+5)-3n

or, 45+n = 72n+45-3n

or, 45-45=72n-4n

or, 68n=0

or, n=0

Answer:

>3 means any number on the number line larger than 3, so the answer is yes

Answer:

1325

Step-by-step explanation:

53 x 25 is 1325

Not sure how it can be simplified more.

Step-by-step explanation:

We need to convert 25 cg : 4g in lowest terms.

We know that, 1 gram = 100 centigram

1 cg = (1/100) gram

25 cg = [tex]\dfrac{25}{100}[/tex] grams

To write 25 cg : 4g in lowest terms, the step to be done are as follows :

[tex]\dfrac{25\ cg}{4\ g}=\dfrac{\dfrac{25}{100}}{4}\\\\=\dfrac{\dfrac{25}{25\times 4}}{4}\\\\=\dfrac{1}{16}[/tex]

It means that the lowest term for 25 cg : 4g is [tex]\dfrac{1}{16}[/tex]

Answer:

Step-by-step explanation:

A = Bxt + C

To solve for x move C to the other side of the equation

That's

Bxt = A - C

Divide both sides by Bt to make x stand alone

That's

We have the final answer as

Hope this helps you

Answer:

[tex]x=1[/tex]

Step-by-step explanation:

So we have the equation:

[tex]4(-x+4)=12[/tex]

First, divide both sides by 4. The left side will cancel. The right will reduce to 3:

[tex](4(-x+4))/4=(12)/4\\-x+4=3[/tex]

Subtract 4 from both sides. The left cancels:

[tex]-x=-1[/tex]

Divide both sides by -1:

[tex]x=1[/tex]

So, the value of x is 1.

And we're done!

Answer:

x = 1

Step-by-step explanation:

4(-x + 4)= 12

Step 1 : Distribute

-4x + 16 = 12

Subtract 16 from both sides

-4x = -4

Divide

[tex]\frac{-4x}{-4}[/tex] = [tex]\frac{-4}{-4}[/tex]

x = 1

Answer:

256

265

526

562

625

652

Answer:

1. rate = 171.6 feet/second

2. 1716 feet

Step-by-step explanation:

1. To convert from miles per hour to feet per second,

1 mile = 5280 feet

  117 miles = 617760 feet

  1 hour = 3600 seconds

Thus the rate in feet per second will be;

    = [tex]\frac{617760}{3600}[/tex]

    =  171.6 feet/second

2. In 10 second of free fall,

       speed = [tex]\frac{distance}{time}[/tex]

distance = speed x time

              = 171.6 feet/second x 10 second

              = 1716 feet

The parachutist would fall 1716 feet in 10 seconds of free fall.

Answer: 56

Explanation: Add 6 to your sum every time until you get to the 10th term. It should look like this:

2

8

14

20

26

32

38

44

50

56

This is a total of 10 numbers.

Hope it helps!

[tex]2 \frac{2}{7}[/tex] ÷ [tex]\frac{4}{7}[/tex]

First, let's turn the first fraction into an improper fraction.

[tex]\frac{16}{7}[/tex] ÷ [tex]\frac{4}{7}[/tex]

Since both of these fractions share the same denominator, we can drop the denominator and simply divide the numerators.

16 ÷ 4 = 4

The quotient = 4

Answer:

It will be 25 cm.

Answer:

500

Step-by-step explanation:

if one side is 125 cm on a square all the sides are equal so you should multiply 125x4 which gives you 500

Answer:

[tex]\boxed{\bold{\huge{\boxed{\sf Perimeter = 500\ cm}}}}[/tex]

Step-by-step explanation:

Given that Length = 125 cm

So,

Perimeter = 4 ( 125 )

Perimeter = 500 cm

Answer:

greater than

Step-by-step explanation:

63,459 is 542 more than 62,935

Answer:

63,459 is less than 63,935

Step-by-step explanation:

63,459 is less than 63,935 because in 63,459 the hundreds place is 400 and in 63,935 the hundreds place is 900.

Hope this helps, please mark brainliest. You dont have to if you dont like it

Answer:

Correct

Step-by-step explanation:

i need something to work with im not understanding your question

Answer:

-6/5

Step-by-step explanation:

Answer: x=0 or 6/5

Step-by-step explanation:

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = 0.875}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{3[ x + 3(4x - 5)]  = 15x - 24}[/tex]

Distribute 3 through the parentheses

⇒[tex] \sf{3[ x + 12x - 15 ]  = 15x - 24}[/tex]

Collect like terms : 12x and x

⇒[tex] \sf{3[ 13x - 15 ]  = 15x - 24}[/tex]

Distribute 3 through the parentheses

⇒[tex] \sf{39x - 45 = 15x - 24}[/tex]

Move 15x to left hand side and change it's sign

Similarly, move 45 to right hand side and change it's sign

⇒[tex] \sf{39x - 15x = - 24 + 45}[/tex]

Collect like terms

⇒[tex] \sf{24x = - 24 + 45}[/tex]

Calculate

⇒[tex] \sf{24x = 21}[/tex]

Divide both sides of the equation by 24

⇒[tex] \sf{ \frac{24x}{24} = \frac{21}{24}} [/tex]

Calculate

⇒[tex] \sf{x = 0.875}[/tex]

Hope I helped!

Best regards! :D

Answer:

The number of cheese pizza sold is 200 cheese pizzas

The number of sausage pizza sold is 80 sausage pizzas

The number of pepperoni pizza sold is 120 pepperoni pizzas

Step-by-step explanation:

The price at which the pepperoni  pizza was sold is $14

The price at which the sausage pizza was sold is $11

price at which the cheese pizza was sold is $10

The total number of pizzas sold = 400

The total amount made = $4560

The number of cheese pizza sold = 80 + the number of pepperoni pizzas

Let the number of cheese pizza sold = C

The number of sausage pizza sold = S

The number of pepperoni pizza sold = P

We have;

C + S + P = 400..........................(1)

C = 80 + P...................................(2)

10·C + 11·S + 14·P = $4560.......(3)

Substituting the value for C from equation (2) in equation (1), we get;

C + S + P = 400 = 80 + P + S + P = 400

2·P + S = 400 - 80 = 320

∴ S = 320 - 2·P..........................(4)

Substituting the value for C from equation (2) and the value for S from equation (4) into equation (3), we get;

10·C + 11·S + 14·P = $4560

10·(80 + P) + 11·(320 - 2·P) + 14·P = 4560

800 + 10·P + 3,520 - 22·P + 14·P = 4560

4,320 + 2·P =  4560

2·P =  4560 - 4,320 = 240

P = 240/2 = 120

P = 120

C = 80 + P = 80 + 120 = 200

C = 200

S = 320 - 2·P = 320 - 2×120 = 320 - 240 = 80

S = 80

Therefore;

The number of cheese pizza sold = C = 200

The number of sausage pizza sold = S = 80

The number of pepperoni pizza sold = P = 120.

Greetings from Brasil....

Let us call X the equal distances GH = HI = IJ

GH = X

HI = X

IJ = X

Note that HJ = HI + IJ, so

HJ = X + X

10 = 2X

X = 5

Looking at the figure we can conclude that:

GJ + JK = GK

GJ = GH + HI + IJ

GJ = 15

GJ + JK = GK

15 + JK = 24

JK = 9

Each length of the line segments GH = HI = IK and JK will be 5 and 9.

A line segment in mathematics has two different points on it that define its boundaries.

A line segment is sometimes referred to as a section of a path that joins two places.

GK = 24, HJ = 10, and GH = HI = IJ.

Then the length HI will be

HJ = HI + IJ

10 = HI + HI

2HI = 10

HI = 5

Then the length of the line segments GH, HI, and IJ will be

GH = HI = IJ = 5

The length of the JK will be

GK = GJ + JK

24 = 3GH + JK

24 = 3 * 5 + JK

JK = 24 - 15

JK = 9

Then each length of the line segments GH = HI = IK and JK will be 5 and 9.

More about the line segment link is given below.

https://brainly.com/question/25727583

#SPJ5

Answer:

a) 2x² - 32 = 2(x-4)(x+4)

e) 3x² - 75 y² = 3(x-5y)(x+5y)

i) (x+5)² - 16 = (x+1)(x+9)

j) (x-4)² - 9 = (x-7)(x-1)

m) (3x+5)² - x² = (2x+5)(4x+5)

Step-by-step explanation:

Basically first you expand the expression into terms and then you refactor again.

Answer:

Step-by-step explanation:

solution

We going to do this process in a stepwise manner

given the expression

18=6(2x – 8)

1. open bracket on the left-hand side (distributive property)

18=12x-48

2. collect like terms

18+48=12x

66=12x

3. divide both sides by 12 we have

x= 66/12

x= 33/6

x=11/2

Answer:

A because 63/4 is 15.75

Answer:

.878787.. to a fraction is 29/33

Step-by-step explanation:

[tex]\frac{(0.87*100)-0}{99}[/tex] = 87/99

Simplify 87/99, which is 29/33