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seraphim [82]
4 years ago
9

In 11 years, John's age will be 5 less than 5 times his current age. How old is he? If x represents John's current age, which of

the following equations could be used to solve this problem? x + 11 - 5 = 5x x + 11 = 5x - 5 x + 11 = 5 - 5x
Mathematics
2 answers:
seropon [69]4 years ago
5 0

Answer:

Step-by-step explanation:

Let John's age be x. This gives us that in 11 years, john's age will be 5 less than 5 times his current age. Therefore, we could get: x+11=5x-5. This is your second equation. Solving for x, we get 4x=16 so x=4.

vladimir1956 [14]4 years ago
4 0

Answer:

x+11=5x-5

Step-by-step explanation:

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If 100 units of a product cost $5,000 and 200 units cost $8,000, what is the incremental cost per unit of the second 100 units?
olga2289 [7]

Answer:

(8000 - 5000) / (200 - 100) = $30

3 0
3 years ago
Stephen evaluated (6.34 x 10^-7)(4.5 x 10^3). His work is shown below. Which statements describe his errors? Check all that appl
Lostsunrise [7]
We have the following expression:
 (6.34 x 10 ^ -7) (4.5 x 10 ^ 3)
 The solution shown is:
 (6.34 x 10 ^ -7) (4.5 x 10 ^ 3)
 (6.34 x 4.5) (10 ^ -7 x 10 ^ 3)
 28.53 x 10 ^ -4
 -28.53 x 10 ^ 4
 -2.853 x 10 ^ 3
 The errors are:
 A. He changed the sign of the coefficient. A negative exponent does not affect the sign of a coefficient in scientific notation. The sign of the exponent determines the direction the decimal is moved in.
 D. He got the wrong value for the coefficients; 28.53 x 10^-4 is not possible. The coefficients in scientific notation are always greater than 1, but less than 10. 
3 0
4 years ago
Read 2 more answers
What is the slope-intercept form equation of a line that has a slope of 1 and passes
Bogdan [553]

Answer:

y = 1x+14

Step-by-step explanation:

The slope intercept form is

y = mx+b where m is the slope and b is the y intercept

y = 1x+b

Substitute the point into the equation

10 = -4+b

Add 4 to each side

10+4 = -4+b+4

14 = b

y = x+14

4 0
3 years ago
He number of E.coli bacteria cells in a pond of stagnant water can be represented by the function below, where A represents the
denis-greek [22]

The function that represents the number of E.coli bacteria cells per 100 mL of water as t years elapses, and is missing in the question, is:

A(t)=136(1.123)^{4t}

Answer:

   Option A. 59%

Explanation:

The base, 1.123, represents the multiplicative constant rate of change of the function, so you just must substitute 1 for t in the power part of the function::

  • A(t)=136(1.123)^{4t}

  • rate=(1.123)^{4t}=(1.123)^4=1.590

Then, the multiplicative rate of change is 1.590, which means that every year the number of E.coli bacteria cells per 100 mL of water increases by a factor of 1.590, and that is 1.59 - 1 = 0.590 or 59% increase.

You can calculate it also using two consecutive values for t. For instance, use t =1 and t = 1

t=1\\\\ A(1)=136(1.123)^4\\\\\\t=2\\ \\ \\A(2)=136(1.123)^8\\ \\ \\A(2)/A(1)=1.123^8/1.1123^4=1.123^4=1.590

6 0
3 years ago
The manager of a grocery store wants to determine the average amount of money spent at his store as it compares to the average d
LuckyWell [14K]
The average money spent would be 74.62
3 0
4 years ago
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