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jeka94
2 years ago
10

The temperature of the pool water started at 82 degrees, and it is cooling down 0.4 degrees each hour. If the water temperature

is now 78 degrees, then how many hours have passed?
Mathematics
1 answer:
Sidana [21]2 years ago
3 0

Answer:

We have the same homework!!!!

hours that passed= 10

Step-by-step explanation:

(1st step)We start with the expression:

(1st)82-0.4x=78

"STARTED at 82 degrees" 82

"Cooling DOWN 0.4 degrees" -0.4

"EACH hour" x

"NOW 78 degrees" =78

(2nd step) We want to get the variable x alone, so we have to do the opposite sign they have, to cancel the number out for it to be 0.

(1st) 82 -0.4x =78

(2nd) -82 ÷-0.4 =78

(3rd)Now, you work out the problem (transfer the numbers from the left to the right). First, you have to do the subtraction sign, not sure why.

(1st) 82 -0.4x =78

(2nd) -82 ÷-0.4 =78

(3rd) 78 -82= -4

-4÷-0.4= 10

X= 10

there you have it!

To make sure this is correct, you do the following.

82 -0.4 x 10

Solve using PEMDAS

-0.4 x 10 = -4

its time to add 82.

82 - 4 = 78

78 is the exact temperature that was said in the problem

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Working together, Candice and Ximena painted a fence in 8 hours. Last year, Ximena painted the fence by herself. The year before
makkiz [27]

Answer: Time taken by Ximena to paint the fence alone  = 24 hours

Time taken by Candice to paint the fence alone = 12 hours

Step-by-step explanation:

Let x= Time taken by Ximena to paint the fence alone .

Time taken by Candice to paint the fence alone = x-12

As per given , we have

\dfrac{1}{x}+\dfrac{1}{x-12}=\dfrac{1}{8}\\\\\Rightarrow\ \dfrac{x-12+x}{x(x-12)}=\dfrac{1}{8}\\\\\Rightarrow\ 8(2x-12)=x^2-12x\\\\\Rightarrow\ 16x-96=x^2-12x\\\\\Rightarrow\ x^2-12x-16x+96=0\\\\\Rightarrow\ x^2-28x+96=0\\\\\Rightarrow\ x^2-4x-24x+96=0\\\\\Rightarrow\ x(x-4)-24(x-4)=0\\\\\Rightarrow\ (x-4)(x-24)=0\\\\\Rightarrow x=4, 24

if x= 4

Time taken by Ximena = 4 hours

Time taken by Candice = 4-12 hours =-8 hours which is not possible. (time cannot be negative)

Therefore, x= 24

Such that

Time taken by Ximena to paint the fence alone  = 24 hours

Time taken by Candice to paint the fence alone = 24-12=12 hours

3 0
3 years ago
Barry got a samll sandwich for lunch and ate 1/2 of his sandwich. Jonah got a large sandwich and ate 1/2 of his sandwich. Did Jo
xeze [42]
No, they did not eat the same amount. Barry ate less because his sandwich was smaller, so there would be a smaller half. Jonah ate more because his sandwich was bigger, so he would have eaten a bigger half.
8 0
3 years ago
If y = 8 cm, what is the area of the blue section of this shape?
Ivahew [28]

Answer:

56 cm squared

Step-by-step explanation:

First things first: Cop one triangle off the rectangle, and attach it to the other one, so the shape looks like a L

Now I can actually solve this:

The left side is 8 cm (because y = 8 cm)

The top is 10 cm

The middle is 6 cm

The inside left is 3 cm

And the very bottom is 2 cm

First, we'll solve for the newly constructed rectangle: 3 x 2. That equals 6.

Next, solve for the longer rectangle: 10 x 5. That's 50.

Now, add the two areas, and we get 56. So the area of the whole thing is 56 cm squared.

(Please keep in mind that I could be wrong, so double check it for me, thanks!)

7 0
2 years ago
When a watch is sold at ksh 126 aloss of x percent is made . If the same ksh 126, a loss of x percent is made . If the same watc
Nitella [24]

Answer:

ksh 140

Step-by-step explanation:

When a watch is sold for ksh 126 a loss of x% is made, that is( 100 - x)%

Hence, the loss amount = (126 X 100)/(100 - x)

When the same watch is sold for ksh 154 a profit of x% is made, that is (100 + x)%

Hence, the profit amout = (154 X 100)/(100 + x)

Therefore, (126 X 100)/(100 - x) = (154 X 100)/(100 + x)

12600(100 + x) = 15400(100 - x)

1260000 + 12600x = 1540000 - 15400x

28000x = 280000

x = 10%

In that case for a watch sold for ksh 126 a loss 10% is made, that is( 100 - 10)%

Hence, loss amount = (126 X 100)/90 = ksh 140

∴ the buying price is ksh 140

7 0
3 years ago
Please help
DedPeter [7]

Answer:

<h2>10</h2>

Step-by-step explanation:

Given the expression \sqrt{10} * \sqrt{10}. To find the product of this two values, the following steps must be followed.

According to one of the law of indices, \sqrt{a} = a^{\frac{1}{2} }

\sqrt{10} * \sqrt{10}\\= 10^{\frac{1}{2} }* 10^{\frac{1}{2} }\\= 10^{\frac{1}{2}+\frac{1}{2}}\\ = 10^{1} \\= 10

The product is 10

3 0
3 years ago
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