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mafiozo [28]
2 years ago
10

Two of the lowest temperatures ever recorded in the U.S. are -79.8 *F in Alaska and -69.7*F in Montana. Write an inequality that

compares the temperatures.​
Mathematics
1 answer:
TEA [102]2 years ago
5 0

Answer:

During cool or cold weather episodes, fuel must be consumed to make buildings comfortable living spaces. A useful indicator of fuel consumption for heating purposes is the determination of heating degree-days. They are calculated by accumulating one heating degree-day (HDD) unit for each Fahrenheit degree the daily mean (average) temperature is below the base value of 65°F (18°C). For example, a day with a maximum temperature of 60°F and a minimum of 40°F has a mean temperature of 50°F. Subtracting 50 from 65 yields 15 heating degree-day units for that day. Hence, a day with a high temperature of 45°F and a low of 25°F produces ______ HDDs.

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Two bicyclists were racing toward each other when they were 98 miles apart. Three hours later they did not meet yet and the dist
lesya [120]

Let, speed of 1st bicyclist is x.

So, speed of 2nd bicyclist is x-3 .

We know, relative speed when two objects moves towards each other :

v = x + ( x-3 )\\\\v = 2x - 3

Now, distance travelled in 3 hours is (98-2) miles .

So,

2x-3 = \dfrac{96}{3}\\\\2x - 3 = 32\\\\2x = 35\\\\x = 17.5\ mph

Therefore, speed of bikes are 17.5 mph and 14.5 mph.

Hence, this is the required solution.

5 0
3 years ago
You plan to accumulate 100,000 at the end of 42 years by making the follow-
Mariana [72]

Answer:

  Y = 479.17

Step-by-step explanation:

At the end of year 14, the balance from the deposits of X can be found using the annuity due formula:

  A = P(1+r/n)((1 +r/n)^(nt) -1)/(r/n)

where P is the periodic payment, n is the number of payments and compoundings per year, t is the number of years, and r is the annual interest rate.

  A = X(1.07)(1.07^14 -1)/0.07 ≈ 24.129022X

This accumulated amount continues to earn interest for the next 28 years, so will further be multiplied by 1.07^28. Then the final balance due to deposits of X will be ...

  Ax = (24.129022X)(1.07^28) = 160.429967X

__

The same annuity due formula can be used for the deposits of Y for the last 10 years of the interval:

  Ay = Y(1.07)(1.07^10 -1)/.07 = 14.783599Y

__

Now we can write the two equations in the two unknowns:

  Ax +Ay = 100,000

  X - Y = 100

From the latter, we have ...

  X = Y +100

So the first equation becomes ...

  160.429967(Y +100) +14.783599Y = 100000

  175.213566Y +16,043.00 = 100,000

  Y = (100,000 -16,043)/175.213566 ≈ 479.17

Y is 479.17

7 0
3 years ago
Three boxes are stacked one on top of each other one box is 2 feet 11 inches tall one is 3 feet 5 inches tall and one is 4 feet
Natasha_Volkova [10]

Answer:

<u>11 feet 2 inches</u>

Step-by-step explanation:

ill add the inches first

11+5+10= 26

26inches= 2ft 2inches

now I add the feet

2+3+4+2=11 feet

<u>11 feet 2 inches</u>

7 0
2 years ago
• What Were the Headlines After a 3 Foot 10 Inch Fortuneteller
pogonyaev
I have no idea what it is lol
6 0
3 years ago
A construction worker bought several bottles of juice for $3 at the comedian store she paid for them the $20 bills if J represen
irina [24]

Expression 20 – 3J represents the change in dollars, which construction worker will receive after buying J bottles of juice.

<u>Solution:</u>

Given that  

A construction worker bought several bottles of juice for $3 at the comedian store

She paid for them the $20 bills

Number of bottles of juice is represented by variable J

Need to write an expression for the change she receives.  

From given information

Price of 1 juice bottle = $3

\text { So price of J juice bottles }=\mathrm{J} \times \text { Price of } 1 \text { juice bottle }

=\mathrm{J} \times 3=3 \mathrm{J}

<em>Change she receives = Amount she paid - price of J juice bottles   </em>

=> Change she receives = 20 – 3J

Hence expression 20 – 3J represents the change in dollars, which construction worker will receive after buying J bottles of juice.

4 0
3 years ago
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