Which is the correct way to express 489.65 in expanded form?
A
400 + 80 + 9 + 0.06 + 0.05
B
400 + 80 + 9 + 0.6 + 0.05
C 400 + 80 + 9 + 6 + 0.5
D
400 + 80 + 9 + 0.065

Answers

Answer 1
It’s B
Cause if 400+80 is 480+9=489+0.6=489.6+0.05 and the final results it’s 489.65
Answer 2
B the s denwiejdifjfne e finished we

Related Questions

y^3-8y^2+19y=12
Solve​

Answers

Answer:

Step-by-step explanation:

steps are below

step 1

y^3-8y^2+19y=12  equation

step 2

y^3-8y2+19y(-12)=12(-12)  minus 12 from both sides

y^3-8y^2+19y-12=0

step 3

(y-1)(y-3)(y-4)=0  add brackets

step 4

(y-1)(y-3)(y-4)=0  factor

step 5

y-1=0 or y−3=0 or y-4=0  set them equal

Answer:

y=1 or y=3 or y=4

I PROMISE I WILL MARK AS BRAINLIEST please i want an answer
in the unit circle whose center is (o)if the length of the arc BC =1/3π , then sec (∠BOC) =

Answers

Answer:

Answer is = 1

Step-by-step explanation:

Hope it's answered you

Answer:

nice

Step-by-step explanation:

1.3181818...... as fraction units lowest term​

Answers

Answer:

29/22

Step-by-step explanation:

Let x = 1.31818181818....

Then, 10x = 13.18181818..., and 1000x = 1318.18181818..... Subtracting the first equation from the second, we get that 990x = 1305. This means that x = 1305/990. In lowest terms, this is 29/22.

Am I doing this right? The question is... At the first store Arlene visited, she spent 40% of her money plus $4. At the second store she spent 50% of her remaining money plus $5. At the third store Arlene spent 60% of her remaining money plus $6. When Arlene finished shopping at the three stores, she had $2 left over. How many dollars did she have when she started shopping?

My equation was x - 2 = ((0.4x+4)0.5+5)0.6+6. Both sides of the equation were to find how much she spent. I got 13.86363...

Answers

9514 1404 393

Answer:

  $90

Step-by-step explanation:

Let's consider the remaining money. If x represents the amount Arlene started with, then the remaining amounts are ...

  after first store: x -(0.4x +4) = 0.60x -4

After spending 50% of her money, the amount remaining will be 1-50% = 50%. Then spending 5 more dollars reduces the amount remaining by another 5.

  after second store: (0.60x -4)(0.50) -5 = 0.30x -2 -7 = 0.30x -7

After spending 60% of her money, the amount remaining will be 1-60% = 40%. Then spending 6 more dollars reduces the amount remaining by another 6.

  after third store: (0.30x -7)(0.40) -6 = 0.12x -2.80 -6 = 0.12x -8.80

This is reported to be $2, so we have ...

  0.12x -8.80 = 2

  0.12x = 10.80

  x = 90

Arlene started shopping with $90.

_____

Check

At the first store, Arlene spent 0.40×$90 +$4 = $40, so she had $90-40=$50 remaining.

At the second store, Arlene spent 0.50×$50 +$5 = $30, so she had $50-30=$20 remaining.

At the third store, Arlene spent 0.60×$20+$6 = $18, so she had $20-18 =$2 remaining.

Use the formula a^2-b^2= (a+b)(a-b) to factor completely. What are the factors of 36x^8-49 ?

Answers

Answer:

(6x^4-7)(6x^4+7)

Step-by-step explanation:

36x^8-49

1. look for a gcf. since there isn't one, you move on to the next step.

2. what multiplies to what you need. you can do box method or diamond method.

3. (6x^4-7)(6x^4+7)

Answer:

C

Step-by-step explanation:

Which situation could be represented by 5x > 15? Jakiera makes $5 per hour working at her father's repair shop. She needs to make more than $15 to buy the calendar that she wants for next year. How many hours can she work to achieve this goal? Thomas brought 5 cans for the campus food drive. How many more cans does he need to have at least 15 cans for the food drive? Clarice collects comic books. Her brother, Samuel, has 15 comic books. How many comic books does Clarice need to have more comics than Samuel? Elizabeth is five times older than her grandchild, who is 15. How old is Elizabeth?

Answers

Answer:

First situation

More than 3 hours

At least 10

15

75

Step-by-step explanation:

Let x be the number of hours

The equation will be

[tex]5x>15\\\Rightarrow x>\dfrac{15}{5}\\\Rightarrow x>3[/tex]

So, she needs to work more than 3 hours in order to make more than $15.

The situation that represents [tex]5x>15[/tex] is the first one.

Let x be the additional number of cans

The inequality will be

[tex]x+5\geq15\\\Rightarrow x\geq 15-5\\\Rightarrow x\geq 10[/tex]

So, the additional number of cans to be bought is at least 10.

Let x be the number of comic books Clarice has.

[tex]x>15[/tex]

So, Clarice needs to have more than 15 comic books.

Let x be age of Elizabeth

The equation will be

[tex]x=5\times 15\\\Rightarrow x=75[/tex]

So, Elizabeth is 75 years old.

You decide to make lasagna for dinner. The baking dish in the shape of a rectangular prism measures 13 inches by 9 inches by 2 inches. What is the volume of the container?

Answers

Volume = 13in * 9in * 2in = 234in³.

Answer:

234 inches³

Step-by-step explanation:

Formula for volume of a prism = [tex]L \times W \times H[/tex] (L = length, W = width, H = height)

[tex]\therefore[/tex] volume for baking dish = 13 × 9 × 2

                                          = 234 inches³

Hope this helps :)

Ellen writes 2 pages in a hour. Determine the equation that represents the function and state it graphically.

Answers

Answer:

1 page every 0.5hours, or 1 page every 30 minutes. The equation is

2x = y

Mike bulit a sand casitle that mersured 54 inches by 77 inches and dug a moat aorund it afterward, he decided to change the size, making it 112 inches by 38 inches how much longer wil the new moat be than the old one?

Answers

Step-by-step explanation:

Initial dimension of a sand castle is 54 inches by 77 inches. Mike decided to change the size, making it 112 inches by 38 inches.

He wanted to dug a moat around it.

The perimeter of moat with initial dimensions,

P = 2(54+77)

= 262 inches

The perimeter of moat with new dimensions,

P = 2(112+38)

= 300 inches

Difference in perimeter = 300 - 262

= 38 inches

Hence, the new dimension is 38 inches longer than the initial dimensions.

Yorkeuri has a cake that weighs 80 ounces. How many pounds does the cake weigh? *

Answers

Answer: 5 pounds

Step-by-step explanation:

80 / 16 = 5

Answer:

5 pounds

Step-by-step explanation:

Hope this helps!

I got this question on a math homework and I don't understand it, 5 5/8 cups of water fill 4 1/2 identical water bottles. How many cups fill each bottle?

Answers

Answer:

1-1/4 cups (1 and 1/4 cups) or 1.25 cups

Step-by-step explanation:

To find the answer you need to take the total volume (5-5/8 cups) and divide it by the number of bottles you have:

5-5/8 divided by 4-1/2

There are two easy ways to do this: you can convert the mixed fractions into decimal form (A) or into improper fractions (B).

A)

First, convert to decimal form:

5-5/8 = 5.625 and 4-1/2 = 4.5

Then, you divide them:

5.625 / 4.5 = 1.25 (converted back to fraction form, if thats what you need, is 1-1/4)

B)

First, convert to mixed numbers:

5-5/8 = 45/8 and 4-1/2 =9/2

Then, you divide them:

45/8  /  9/2

When you divide fractions, you multiply by the inverse of the number you're dividing by (that means swapping the numerator and denominator):

45/8  *  2/9  =  90/72 (converted back to a mixed fraction, this equals 1-1/4)

Solve the system by elimination. {2x+y=13x−y=−4 A. (3, 7) B. (2, 6) C. (4, 8) D. no solution

Answers

Answer:

A

Step-by-step explanation:

Given the 2 equations

2x + y = 13 → (1)

x - y = - 4 → (2)

Add the 2 equations term by term to eliminate the y- term, that is

3x = 9 ( divide both sides by 3 )

x = 3

Substitute x = 3 into either of the 2 equations and solve for y

Substituting into (1)

2(3) + y = 13

6 + y = 13 ( subtract 6 from both sides )

y = 7

solution is (3, 7 ) → A

Answer:

Step-by-step explanation:

2x+y=13

x - y =-4 lets add both equations

3x=13-4

x=9/3    ,   x=3

3-y=-4,   y=7

choice A

a small pool can hold 42.8 gallons of water it is currently 5/8 full how many gallons are in the pool

Answers

Answer:

There are 26.75 gallons in the pool.

Step-by-step explanation:

Divide 42.8 by 8, multiply the quotient by 5.

Answer:

26.75

Step-by-step explanation:

42.8 * 5/8 = 26.75

HELPPP PLS
What is the vertex form of the equation?
y = x² – 2x+8

Answers

(1,7) would be your correct answer

0.5 is equivalent to what rational number?

Answers

Answer:

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

Step-by-step explanation:

It’s equivalent to 1/2

In 1 hour the employee dropped 635 chocolates. If this represents 25% of the days chocolate molds, how many chocolates were planned to be
produced

Answers

Answer:

2540

Step-by-step explanation:

25% is a quarter of 100% so if 635 is 25% you multiple 635 x 4 to get your final answer concluding in 2540. if i'm wrong let someone else correct me :b

i need help i dont understand​

Answers

Answer:

D. 1/3^3

Step-by-step explanation:

Divide 3/3 as usual and get 1.

When dividing exponents, you are actually subtracting them. 5-8 = -3.

D is the answer because positive exponents in the denominator of the fraction is the same as a negative exponent in the numerator.

The rule with exponents is that when dividing similar bases with different exponents (or power), you subtract the exponents respectively.

3⁵ / 3⁸ = 3⁽⁵ ⁻ ⁸⁾ = 3⁻ ³ = 1 / 3³

So the answer is

D) 1/3³

90% of the workers are men. If 590 people work for the company who aren't men, how many workers are there in all?

Answers

Step-by-step explanation:

do 590 divided by 90 if that doesn't work multiply it

The number of gifts Nikki can wrap varies directly with the the amount of time she spends wrapping them. She can wrap 14 gifts in 2 hours. How many gifts can she wrap in 6 hours?

Answers

Answer:

42 gifts.

Step-by-step explanation:

14/2=7

7*6=42

jasmine deals 2 cards. whats the probability of dealing 2 hearts in a row if she didn't replace the card after it was dealt?

WILL GIVE BRAINLIEST FOR CORRECT ANSWER

Answers

Assuming the deck is shuffled well and the dealings are random, the answer is the probability she deals a heart on the first dealing * the probability she deals a heart on the second dealing given she dealt a heart on the first dealing. Since we are sampling without replacement we need to include this given part. The answer is in the image :) apologies for bad handwriting but answer is .0588 or a 5.88% chance

Hey guys help me with this question plzzzzzz​

Answers

Answer:

625 cm³ and 64000 cm³

Step-by-step explanation:

Given

x = [tex]\sqrt[3]{V}[/tex] ( cube both sides )

x³ = V

(a)

x = 25 cm , then

V = 25³ = 625 cm³

(b)

x = 40 cm , then

V = 40³ = 64 000 cm³

Find the least whole number that can replace blank 80 to make the statement true. ÷ 18 > 86

Answers

Answer:

649

Step-by-step explanation:

Given the expression :

__ ÷ 18 > 86

Let blank = y

y ÷ 18 > 36

y / 18 > 36

Multiply both sides by 18

(y / 18) * 18 > 36 * 18

y > 648

Hence, the least whole number which can make the statement true is (648 + 1) = 649

Help needed ASAP plzs .....

Answers

X is 1 y is 8 hope this helped

not prime number in 12n- 5

Answers

Answer:

55

Step-by-step explanation:

12 x 5 = 60

60-5 = 55

55 is not prime

can someone please help me im struggling on this one

Answers

Answer:

Equation: 32° + 30° + x° = 180°Solved: x = 118°

Step-by-step explanation:

3 angles = 180°32° + 30° + x° = 180°62° + x = 180°Subtract 62 from each side, so it now looks like this: x = 118°So, x is 118°

I hope this helps!

A home cleaning service takes more time to clean larger spaces. The table shows the number of minutes it takes for
the service to clean a certain number of square feet within a home.
Square Feet and Cleaning Time
80
Nurnber of Square
50
100
150
Feet, x
Time in Minutes,
32
40
60
Based on the table, how many minutes would it take for the service to clean 200 square feet?
O 20 minutes
O 80 minutes
O 125 minutes
O 400 minutes

Answers

80 minutes. Because if it takes 40 minutes to clean 100 square feet if you multiply that by 2 you get 80 minutes.

Hope this helps!

Given f(x)=2x²+2x-4, which is correct?
A) f(0)=0
B) f(-1)=4
C) f(b+1)=2b²+6b-4
D) f(a)=2a²+2a-4​

Answers

Answer:

Option D: f(a) = 2a²+2a-4 is the correct answer.

Step-by-step explanation:

Given that:

f(x)=2x²+2x-4

We will check the function at the given value;

A. f(0)

Putting x=0 in given function

f(0) = 2(0)²+2(0) - 4

f(0) = 0+0-4

f(0) = -4

B. f(-1)

Putting x=-1

f(-1) = 2(-1)²+2(-1)-4

f(-1) = 2(1) -2-4

f(-1) = 2-6

f(-1) = -4

C. f(b+1) = 2b²+6b-4

Putting x=b+1

f(b+1) = 2(b+1)²+2(b+1)-4

f(b+1) = 2(b²+2b+1)+2b+2-4

f(b+1) = 2b²+4b+2+2b+2-4

f(b+1) = 2b²+6b

D. f(a) = 2a²+2a-4

Putting x=a

f(a) = 2(a)²+2(a)-4

f(a) = 2a²+2a-4

Hence,

Option D: f(a) = 2a²+2a-4 is the correct answer.

A person standing close to the edge on top of a 32-foot building throws a ball vertically upward. The quadratic function h(t)=−16t^2+124t+32 models the ball's height about the ground, h(t), in feet, t seconds after it was thrown. a) What is the maximum height of the ball? __feet b) How many seconds does it take until the ball hits the ground? ____ seconds

Answers

Answer:

a) The maximum height of the ball is 272.25 feet

b) The balls take 8 seconds to hit the ground.

Step-by-step explanation:

a) You know that the quadratic function h(t)=−16*t²+124*t+32 models the ball's height about the ground, h(t), in feet, t seconds after it was thrown.

Being a quadratic function of the form:

f (x) = a*x² + b*x + c

The vertex of a quadratic or parabola equation is the highest or lowest point on the graph corresponding to that function. When a> 0, the vertex of the parabola is at the bottom of it and indicates the minimum of the function. When a <0 the vertex is at the top and indicates the maximum of the function.

The value of x at the vertex is calculated by the expression:

[tex]x=\frac{-b}{2*a}[/tex]

The value of y at the vertex is calculated by substituting the value of x at the vertex into the quadratic function.

In this case, being a=-16, b=124 and c=32  you get that the maximum time is:

[tex]x=\frac{-124}{2*(-16)}=3.875[/tex]

Then a maximum height of:

h(3.875)=−16*(3.875)²+124*3.875+32

h(3.875)= 272.25

The maximum height of the ball is 272.25 feet

b) When the ball hits the ground the height is zero. So h (t) = 0:

0=−16*t²+124*t+32

Applying the resolvent:

[tex]\frac{-b+-\sqrt{b^{2} -4*a*c} }{2*a} =\frac{-124+-\sqrt{124^{2} -4*(-16)*32} }{2*(-16)}[/tex]

you get:

[tex]\frac{-124+\sqrt{124^{2} -4*(-16)*32} }{2*(-16)} =-0.25[/tex]

[tex]\frac{-124-\sqrt{124^{2} -4*(-16)*32} }{2*(-16)} =8[/tex]

Since the time cannot be negative, the balls take 8 seconds to hit the ground.

Determine if this is a valid statistical question: What proportion of New Jersey residents would choose vanilla as their favorite ice cream flavor? *

Answers

it is not a valid statistical question

OH MY GOSH PLEASE IM ABOUT TO CRY HELP ASAPP

Answers

Answer:

All systems have 2 real solutions.

Explanation: there are X and Y unknowns.

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