# Working together, Rocco and Giulia can paint a room in 3 hours. It would have taken Rocco 7 hours to do the job alone. Which equation can be used to determine r, Giulia’s rate of work in parts per hour?

Getting r, r is equal to

5.25 hrs. Hence, Guilia can do painitng alone in

**5.25 hrs.**

I hope my answer helped you

## Related Questions

**Answer:**

**The correct option is: C. Add the two bags together, multiply by .80, and then subtract $1.00.**

**Step-by-step explanation:**

First you need to __add the prices of two bags__ for getting the total sales price.

Now, the store is offering 20% off, that means you __need to pay 80% of the total sales price__. For finding the amount, we need to __multiply the total sales price by 0.80__

Then, you have a manufacturers coupon for a $1.00 off. So, for fining the final price, you need to __subtract that $1.00 from the last result__.

**Thus, the correct option will be......**

**C. Add the two bags together, multiply by .80, and then subtract $1.00.**

4. When we say pythagorean triple, this would consists of three positive integers a, b, and c, such that a2 + b2 = c2. So for the given numbers above, the set that is considered a pythagorean triple would be B. 8, 15, 17.

5. The correct answer for this question would be option D. It cannot be determined whether the triangle is obtuse, acute or right if the given values are the side lengths. It should be angles. Hope this answer helps.

9x² - 36x + 36 = 0

9(x² - 4x + 4) = 0

9(x-2)(x-2) = 0

Radicand = Discriminant = 36² - 4(9)(36) = 0

there is 1 real zero that repeats itself)

zero is x=2.

Use factoring. Factors of 7 are 1 and 7

2x²-9x+7 = 0

(2x-7)(x-1) = 0

2x-7 = 0 (x-1)=0

2x = 7x=1

x = 7/2

Your solutions are x = 1 and x = 7/2

I hope my answers helped you

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p = take home pay

r = rate of dollars per hour

h = number of hours worked

b = bonus

So now we can find h and let us start with the formula.

p = 0.7(rh + b)

p = 0.7*r*h + 0.7b

p - 0.7b = 0.7rh

So the answer for this problem is

**h = (p-0.7b)/0.7r**

1. C

2. A, C

3. B

4. C

5.

[Part 1]

A

[Part 2]

C

6. D

7.

[Part 1]

B

[Part 2]

A

[Part 3]

C

100% Correct

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Part A. $10 x 40 hours= $400 ($10x = W) X=

**40 hours a week**

Part b. $10 x 40 hours = $400 + $15 x Y=S ($10x=$400 +$15y=S) Y= number of hours overtime. Since he gets $15 for working more than 40 hours you take the number of hours over time and multiply it by 15.

Part c. Now that he made $490 in 1 week you know that he worked for 40 hours at a rate of $10 an hour. But that's only $400, so we need to figure out 15 times what is equal to 90. 15 times six is equal to 90 which means that Drey worked for

**46 hours**

Given f(x)=17-x^2, what is the average rate of change in f(x) over the interval [1, 5]?

average rate of change is

(f(5) - f(1))/(5 - 1) =

(17 - 5^2 - (17 - 1^2))/4 =

(17 - 25 - 17 + 1)/4 =

So the answer for this problem is

**-6**

I hope my answer helped you. Feel free to ask for more questions.

-x = 1.5x – 4

4 = 2.5x

**x = 1.6**

y = -x = -1.6

y = -x = -1.6

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**The answer is**

BThe vertex of the graph is (5, –37).

B

**The parabola has a minimum.**

C

C

**D**The parabola opens up.

If the equilibrium interest rate in the money market is 5%, then at an interest rate of 2% sellers of interest-bearing financial assets greater than interest rates to find willing buyers.

Which ordered pair is a solution of the equation 2x − y = 9 (-4,1) (-2,5) (5,1) (6,-3)

So based on my solution, the correct answer would be the third option: (5,1)

So let us try to plug in the values.

2(5) - 1 = 9

10 -1 = 9

9 = 9

So this is the correct one. Hope this answers your question.

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Solve the equation for y 2x+6y=13

2x+6y=13

Next, transfer 2x to the right side and it will look like this:

6y=13-2x

Now, divide both sides by 6, and it will look like this:

y=13-2x

--------

6

So, this is the final answer for y.

Hope this answers your question. Have a great day!

You are paid $82.59 for 7 1/2 hours at work. what is your rate of pay ?

The y-coordinate of the y-intercept is the _____ term in the equation of the line.

**constant**.

I hope my answer helped you. Feel free to ask more questions. Have a nice day!

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Convert 2.4 kg into cg. Please show your work.

kilo -> 1000

centi -> 100

2.4 x 1000 g = 24 x 100 g.

So, on the left we have 2.4 kg, and on the right we have 24 cg

I hope my solutions has come to your help. Thank you and have a nice day ahead!

Algebraic terms are separated by ______. Choose all that apply. 1)= 2)+ 3)x 4)÷ 5)-

__Answer__

1)=

2)+

5)-

__Explanation__

When letter or numbers are separated by multiplication or division can be combined to make one term.

In an algebra equation, terms are separated by an addition sign, subtraction sign or an equal sign. For example,

3a + 7b = 21.

This equation have 3 terms.

► For instance, the quadratic equation:

x² – (6 + 4i)x + (9 + 12i) = 0

has for discriminant:

Δ = (6 + 4i)² – 4(9 + 12i) = 36 – 16 + 48i – 36 – 48i = -16

which is indeed negative.

Its solutions will then be:

x₁ = [(6 + 4i) + 4i]/2 = 3 + 4i

x₂ = [(6 + 4i) – 4i]/2 = 3

And the other solution here is 3.

► If you are not convinced, the quadratic equation:

x² – (6 + 5i)x + (5 + 15i) = 0

has for discriminant:

Δ = (6 + 5i)² – 4(5 + 15i) = 36 – 25 + 60i – 20 – 60i = -9

which is indeed negative.

Its solutions will then be:

x₁ = [(6 + 5i) + 3i]/2 = 3 + 4i

x₂ = [(6 + 5i) – 3i]/2 = 3 + i

And the other solution here is 3+i.

► In fact, every quadratic equation of the form:

x² – [6 + (4 + α)i]x + (3 + 4i)(3 + αi) = 0

where α is any real, has for discriminant:

Δ = [6 + (4 + α)i]² – 4(3 + 4i)(3 + αi)

= 36 – (4 + α)² + 12(4 + α)i – 36 + 16α – 12(4 + α)i

= 16α – (4 + α)²

= 16α – 16 – 8α – α²

= -16 + 8α – α²

= -(α – 4)²

WILL be negative.

Their solutions will then be:

x₁ = [ [6 + (4 + α)i] – (α – 4)i ]/2 = 3 + 4i

x₂ = [ [6 + (4 + α)i] + (α – 4)i ]/2 = 3 + αi

And the other solution will then be is 3+αi.

Since α can take any real value, you'll obtain an infinity of solutions of the form 3+αi.

► So conclusively:

If the discriminant of a quadratic is negative AND one of the solutions is 3+4i, the only thing we can say about the other solution is that its real part must be 3.

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____________________________

5.778 mi/ h;

→ or; write as: 5 ⁷/₉ mph {"miles per hour"}.

______________________________________

Explanation:

_____________________________________

We shall solve in miles ("mi.") per hour ("h"); denoted as "mi / h" ; or sometimes, "mph".

______________________________________

Given 26 mi / 4.5 h ; we want to solve for the number of miles (mi) per unit hour (h),

________________________________

The answer is (26/ 4.5) mi / h l

______________________________

26 ÷ 4.5 = 5.7777777777777778→ Round to: 5.778 mi/ h;

→ or; write as: 5 ⁷/₉ mi /h

_____________________________________________________

**Answer:**

**The monthly payment is $2603.17**

**Step-by-step explanation:**

The purchase price is = $445500

5% is down payment =

Loan amount is =

The EMI formula is =

p = 423225

r = 6.25/12/100=0.0052

n = 30*12 = 360

Putting the values in the formula we get:

= $2603.17

**The monthly payment is $2603.17 approx**

90/3 : (2 1/2)/3

30 : (2 1/2)/3

30 : (5/2)/(3/1)

30 : 5/2*1/3

30 : 5/6

30km in 50 mins

90 : 2 1/2

90/(2 1/2) : (2 1/2) / (2 1/2)

90/(2 1/2) : 1

(90/1)/(5/2) : 1

(90/1)*(2/5) : 1

180/5 :1

36:1

Multiply each side by 2:

72:2

72 km in 2 hours

Hope this helps :)

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Now we'll plug in the numbers they give us into the formula:

y-4= 0(x+2).

**Answer:**

**C.$ 623**

**Step-by-step explanation:**

We are given that Sophia is saving money for a new bicycle.

The bicycle will cost atleast $623.

Sophia makes $8.22 per hour.

We have to find the inequality that could be used to find the number of hours Sophia needs to work to make enough money to buy a new bicycle.

Let Sophia works h hours to make enough money to buy a new bicycle.

Sophia makes money per hour =$8.22

Total money made by Sophia in h hours =

According to question

**$623**

**Hence, option C is true.**

f ( x ) = √( 1 - x²), g ( x ) = - 2

= - 50/3

My = p ∫ x * ( f ( x ) ) dx

My = p ∫ x ( √(1+x²)) dx

Substitution: 1 - x² = u, x dx = - du/2

**M x = - 50/3, M y = 0**

M ≈ 5 * 6.3 ≈ 31.2

x = M y / M = 0 / 31.5 = 0

y = M x / M = -50/3 : 31.5 ≈ - 0.529

The center of mass is

**( 0, -0.529 )**

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270/8

Graph passes through the point (-1, 0).

Therefore, x = -1 and y = 0.

This is the only equation which is true for x = -1 and y = 0.

Therefore, the solution is

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**Answer:**

Just took the test!!

**Step-by-step explanation:**

Look at the image down below!!

WILL UPVOTE! Which equation is related to 89 = x + 61? A. x = 150 B. 61 = 89 + x C. x = 28 D. x = 18

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