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Juli2301 [7.4K]
2 years ago
12

Write the grammatical sentence as an algebraic one: Nine less than half a number is twenty-four. ​

Mathematics
1 answer:
soldi70 [24.7K]2 years ago
8 0
Answer:

x/2-9=24

Explanation:

Nine less:
-9
Half a number:
x/2
So nine less than half a number:
x/2-9
Is 24:
=24

So x/2-9=24

To solve for the number:
Add 9 to both sides:
x/2-9+9=24+9
x/2=33
Multiply both sides by 2:
2(x/2)=33(2)
x=66
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Answer: y = -2x - 4

Slope will be same (-2) as the given equation bc they want a parallel line.
Use the given ordered pair and slope to solve for b.
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2 years ago
Which expression is equivalent to c+2? <br> c+2c <br> 2c-2c+2 <br> 3c-3+c+1 <br> 4c+6-3c-4
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Your answer would be 4c + 6 - 3c - 4

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I hope this helps!
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3 years ago
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Step-by-step explanation:

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The balance on Taylor's credit card is $2000. It has an interest rate of 12.5%. She wants to compare the difference between payi
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Answer: kindly check Explanation

Step-by-step explanation:

The balance on card = $2000

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Therefore, monthly rate = 12.5% / 12 = 0.0104167

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Therefore,

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Interest on balance = 0.0104167 × 1945.83 = $20.2691

Paying $100 of monthly balance :

Interest amount on 2000 = 0.0104167 × 2000 = $20.83

Therefore,

Repayment = 100 - 20. 83 = $79.17

Balance = ($2000 + $20.83) - $100 = 1920.83

Interest on balance = 0.0104167 × 1920.83 = $20.0087

Interest saved by paying $100 instead of $75

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3 0
3 years ago
Devise the exponential growth function that fits the given data, then answer to accompanying question. Be sure to identify the r
Free_Kalibri [48]

Answer:

In 20 years, the population will be about 80.3 thousand people

Step-by-step explanation:

If our first time is 0 and the population that goes along with that time is 70,000, we have a coordinate point where x is the time (0), and y is the population at that time (70).  Our next time is 10 years later, when the population is 75,000.  The coordinate point for that set of data is (10, 75).  Now we will use those 2 points in the standard form of an exponential equation to write the model for this particular situation.  

Exponential equations are of the form

y=a(b)^x

where x and y are the coordinates from our points, one at a time; a is the initial value, and b is the growth rate.  Filling in an equation with the first set of data:

70=a(b)^0

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Now we use that value of a along with the x and y from the next coordinate pair to solve for b:

75=70(b)^{10}

Begin by dividing both sides by 70 to get

1.071428571=b^{10}

Undo the power of 10 on the right by taking the 10th root of both sides:

(1.071428571)^{\frac{1}{10}}=(b^{10})^{\frac{1}{10}}

On the right side we simply have b now, and on the left we have

1.006923142=b

Now we have a and b to write the model for this situation:

y=70(1.006923142)^x

We need to find y, the population, in x = 20 years:

y=70(1.006923142)^{20}

Raise the parenthesis to the 20th power giving you

y = 70(1.147959784) and

y = 80.3 thousand people

7 0
3 years ago
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