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Angelina_Jolie [31]
4 years ago
9

Naomi and Claire are painting a mural. Naomi paints 2 square feet per hour and has already painted 16.5 square feet. Claire pain

ts 4 square feet per hour and has already painted 7.5 square feet. How many more hours will it take for Naomi and Claire to paint an equal total number of square feet? all i need to know is the equation
Mathematics
2 answers:
drek231 [11]4 years ago
6 0

Answer:

<h2>After four and a half hours, they will paint the same amount of area.</h2>

Step-by-step explanation:

Let's call x hours.

So, Naomi paints at a rate of 2x which means 2 square feet per hour. Additionally, we know that she already painted 16.5 square feet. All this is expressed as

N=2x+16.5

On the other hand, Claire paints at a rate of 4x, that is, 4 square feet per hour. She already painted 7.5 square feet. All this can be expressed as

C=4x+7.5

If we want to find the time where the paint an equal number of square feet, we just need to make then equal, that is

N=C\\2x+16.5=4x+7.5

Then, we solve for x

2x+16.5=4x+7.5\\16.5-7.5=4x-2x\\2x=9\\x=\frac{9}{2}=4\frac{1}{2}

Therefore, after four and a half hours, they will paint the same amount of area.

sleet_krkn [62]4 years ago
3 0

Answer: 2x+16.5=4x+7.5 is your equation


Step-by-step explanation:


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10
natka813 [3]

Answer:

x= -8 , y = 5

x= 25/4 , y = 1/4

Step-by-step explanation:

substitute first eqn into the second eqn:

(7 - 3y)^2 -y^2 = 39

49 - 42y + 9y^2 - y^2 = 39

8y^2 - 42y +10 =0

4y^2 - 21y + 5 = 0

(4y-1) (y-5) = 0

y= 1/4 , 5

when y=1/4

x = 7- 3/4

=25/4

when y= 5

x = 7- 15

= -8

5 0
4 years ago
Read 2 more answers
Roland’s Boat Tours sells deluxe and economy seats for each tour it conducts. In order to complete a tour, at least 1 economy se
vovangra [49]

Roland’s Boat Tours will make more money if they sell more economy seats, hence the maximum profit is attained if they only sell the minimum deluxe seat which is 6

6*35+ 24*40 = 210+960= $1170

<em />

Given details

To make a complete tour, at least 1 economy seats

and 6 deluxe seats

Maximum passengers per tour = 30

<em />

<em>"Boat Tours makes $40 profit for each </em><em>economy</em><em> seat sold and $35 profit for each deluxe seat sold"</em>

<em> </em>Therefore, to maximise profit, he needs to take more of economy seats

Hence

Let a deluxe seat be x and economy seat be y

Maximise

6 x+ 24y = 30

The maximum profit from one tour is  = 6*35+ 24*40 = 210+960= $1170

Learn more

brainly.com/question/25828237

<em />

7 0
2 years ago
Is there enough information to prove that the triangles are congruent?
m_a_m_a [10]

Answer:

In triangle ABC and triangle CDA

AB=CD(given)

BC=DA(given)

AC=AC(common)

Thus triangle ABC and triangle CDA are congruent by SSS rule

3 0
3 years ago
Read 2 more answers
What is the distance between the points ( − 4 , 5 ) and ( 8 , 9 ) ?
anygoal [31]

Answer:

Sqrt of 160

Step-by-step explanation:

The distance, try to think it as a triangle, so you will find out that the distance equals the sqrt of(8-(-4))^2 + (9-5)^2, so it will be sqrt of(144+16) which is sqrt of 160, so the answer will be sqrt of 160

7 0
3 years ago
What values of c and d make the equation true?
saul85 [17]

Answer:

Third option.

Step-by-step explanation:

You need to cube both sides of the equation. Remember the Power of a power property:

(a^m)^n=a^{mn

\sqrt[3]{162x^cy^5}=3x^2y(\sqrt[3]{6y^d})\\\\(\sqrt[3]{162x^cy^5})^3=(3x^2y(\sqrt[3]{6y^d}))^3\\\\162x^cy^5=27x^6y^36y^d

According to the Product of powers property:

(a^m)(a^n)=a^{(m+n)

Then. simplifying you get:

162x^cy^5=162x^6y^{(3+d)}

Now you need to compare the exponents. You can observe that the exponent of "x" on the right side is 6,  then the exponent of "x" on the left side must be 6. Therefore:

c=6

You can notice that the exponent of "y" on the left side is 5,  then the exponent of "x" on the left side must be 5 too. Therefore "d" is:

3+d=5\\d=5-3\\d=2

4 0
4 years ago
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