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17 days ago

7

A mercury thermometer records a temperature of 8 degrees Fahrenheit at 10:00am.If the Temperature drops by 3 degrees Fahrenheit

every hour,what will be the Temperature by 2:00pm of the same day

1 answer:

Svet_ta [4.3K]17 days ago

5 0

Given:

The temperature recorded at 10:00 am is 8 degrees Fahrenheit.

The temperature decreases by 3 degrees Fahrenheit each hour.

To find:

The temperature at 2:00 pm on the same day.

Solution:

Let y represent the temperature after x hours since 10:00 am.

The temperature at 10:00 am serves as the initial temperature.

Thus, the y-intercept of the linear equation is 8.

The temperature reduces by 3 degrees Fahrenheit every hour.

This indicates the slope of the linear equation is -3, with the negative sign indicating a decrease.

The slope-intercept form of a linear function is indicated by

$y=mx+b$

where m is the slope and b is the y-intercept.

Inserting m=-3 and y=8 into the above equation gives us the required values.

$y=-3x+8$

From 10:00 am to 2:00 pm spans 4 hours; therefore, substitute x=4 into the above equation.

$y=-3(4)+8$

$y=-12+8$

$y=-4$

Consequently, the temperature at 2:00 pm is -4 degrees Fahrenheit.

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Now, we can insert these values into our formula:
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$A=3000(1+0.079)^{10}$
Substituting $A$ with $P_{10}$ :
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Finally, to determine <span>the total amount Yolanda will have after ten years, we just need to carry out the operations in our equation:
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10 days ago

Jacque needs to buy some pizzas for a party at her office. She's ordering from a restaurant that charges a \$7.50$7.50dollar sig

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Answer:

Step-by-step explanation:

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17 days ago

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Solution:

We know, g(x) = f(x) + k --------(1)

It is given that f(x) = $\frac{1}{3}$ (x+2)

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Substituting f(x) and g(x) into equation (1):

→ $\frac{1}{3}$ (x+5) = $\frac{1}{3}$ (x+2) + k

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4 days ago

10 times as many as blank hundreds or 60 hundreds is blank thousands

Svet_ta [4321]

The result of multiplying 10 by 6 hundreds equals 60 hundreds, which can also be expressed as 6 thousands.

Explanation

This can be simplified as follows:

10 times a given quantity of _____ hundreds results in 60 hundreds
60 hundreds convert to _____ thousands

We will divide this into two segments:

$\boxed{ \ 10 \times (N \times 100) = 60 \times 100 \ }$ ... Equation-1

$\boxed{ \ 60 \times 100) = M \times 1,000 \ }$ ... Equation-2

This straightforward multiplication relates to the place value system. We need to perform calculations to find the values of N and M.

Initially, let's focus on Equation-1.

We will move the variable M to one side of the equation in order to isolate it and solve for its value.

$\boxed{ \ 10 \times (N \times 100) = 60 \times 100 \ }$

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Both parts will be divided by 1,000, essentially being multiplied by $\frac{1}{1,000}$ .

$\boxed{ \ \frac{1}{1,000} \times 1,000 \times N = \frac{1}{1,000} \times 6,000 \ }$

Thus, we conclude with $\boxed{\boxed{ \ N = 6 \ }}$

Next, we process Equation-2 to derive M's value.

$\boxed{ \ 60 \times 100) = M \times 1,000 \ }$

$\boxed{ \ 6,000 = M \times 1,000 \ }$

Rearranging this equation to place M on the left side appears as follows:

$\boxed{ \ M \times 1,000 = 6,000 \ }$

Again, both sides undergo division by 1,000, which translates to multiplication by $\frac{1}{1,000}.$ .

$\boxed{ \ \frac{1}{1,000} \times M \times 1,000 = \frac{1}{1,000} \times 6,000 \ }$

This results in $\boxed{\boxed{ \ M = 6 \ }}$

- - - - - - -

Alternative approach for the second step:

60 hundreds equals to __ thousands

$\boxed{ \ 6 \times 10 \ hundreds = \ M \ thousands} \ }$

$\boxed{ \ 6 \times thousands = \ M \ thousands} \ }$

$\boxed{\boxed{ \ M = 6 \ }}$

Additional resources

A more detailed version of this topic
2 thousands 7 tens divided by 10 equals what?
100 is equivalent to 1/10 of which number?

Keywords: 10 times as many as, blank, hundreds, 60 hundreds, or, thousands, isolate, operations, multiply, divide, fraction, both sides, equal, the opposite, both sides are multiplied by, divided by, rearrange

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