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Maurinko [17]
2 years ago
5

Jodi poured herself a cold soda that had an initial temperature of 45degreesF and immediately went outside to sunbathe where the

temperature was a steady 101degreesF. After 8 minutes the temperature of the soda was 55degreesF. Jodi had to run back into the house to answer the phone. What is the expected temperature of the soda after an additional 10 ​minutes?
Mathematics
1 answer:
arlik [135]2 years ago
6 0

The initial temperature difference of 101-45 = 56 degees declined to 101-55 = 46 degrees in 8 minutes, We can write the exponential equation for the soda's temperature as

... T = 101 -56(46/56)^(t/8) . . . . where t is in minutes

After an additional 10 minutes, we have t=18, so the soda temperature will be

... T = 101 -56(46/56)^(18/8) ≈ 65.0 . . . degrees

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Simplify
Goryan [66]

Answer:

310

Step-by-step explanation:

Use the Order of Operations method. (P.E.M.D.A.S.)

Our expression: 3+2⋅4+62⋅5−1

<u>Multiply 62 and 5, and 2 and 4:</u>

3+8+310-1

<u>Add and Subtract from left to right:</u>

11+310-1

311-1

310

6 0
2 years ago
The average summer vacation costs $2252. If 82% of this amount is charged on credit cards, then what amount of the vacation cost
expeople1 [14]

Answer: $1846.64

Step-by-step explanation:

Given : The average summer vacation costs $2252.

If 82% of this amount is charged on credit cards, then the amount of the vacation cost is charged will be :-

82\%\text{ of }\$2252\\\\\text{Convert percent into fraction by dividing it by 100, we get}\\\\=\$[\dfrac{82}{100}\times2252]\\\\=\$[\dfrac{184664}{100}]\\\\=\$1846.64

Therefore the amount of the vacation cost is charged= $1846.64

3 0
2 years ago
How do you slove 3x+4y=8 in steps
gavmur [86]
<span><span><span>3x</span>+<span>4y</span></span>=8
</span>Add -4y to both sides
<span><span><span><span>3x</span>+<span>4y</span></span>+<span>−<span>4y</span></span></span>=<span>8+<span>−<span>4y</span></span></span></span><span><span>3x</span>=<span><span>−<span>4y</span></span>+8
</span></span>Then you divide both sides by 3
<span><span><span>3x/</span>3</span>=<span><span><span>−<span>4y</span></span>+8/</span>3</span></span><span>x=<span><span><span><span>−4/</span>3</span>y</span>+<span>8/3
</span></span></span>And your answer is ...
<span>x=<span><span><span><span>−4/</span>3</span>y</span>+<span>8/<span>3</span></span></span></span>
7 0
3 years ago
The swimming pool at Spring Valley High School is a rectangle with a width of 70 meters and a length of 30 meters. Around the pe
Nadya [2.5K]

The expression for the area of the rectangular swimming pool is given as follows:

A = w² + 100w + 2100.

<h3>What is the area of a rectangle?</h3>

The area of a rectangle of length l and width w is given by the multiplication of these measures, that is:

A = lw.

In this problem, considering the width of 70 meters and a length of 30 meters, plus the floor of w meters, we have that:

  • l = 30 + w.
  • wi = 70 + w.

Hence the area is given as follows:

A = l x wi = (30 + w)(70 + w) = w² + 100w + 2100.

More can be learned about the area of a rectangle at brainly.com/question/10489198

#SPJ1

4 0
1 year ago
Please simplify this! 14x - 4 - 2x - 3 = ​
Fittoniya [83]

Answer:

12x-7=

Step-by-step explanation:

Just do -3 + -4 and 14x - 2x

8 0
3 years ago
Read 2 more answers
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