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BartSMP [9]
3 years ago
11

What happens to the value of the expression 70-3g, minus, 3, g as increases?

Mathematics
2 answers:
Travka [436]3 years ago
8 0
Answer:
The value of the expression decreases

Explanation:
The given expression is:
70 - 3g
This means that we are removing 3g from 70.
As the value of g increases, the value of 3g will also increase. This means that the amount we remove from the 70 will also increase which will lead to a decrease in the value of the expression.

Examples:
At g = 1:
70 - 3g = 70 - 3(1) = 70 - 3 = 67
At g = 2:
70 - 3g = 70 - 3(2) = 70 - 6 = 64
At g = 3:
70 - 3g = 70 - 3(3) = 70 - 9 = 61
At g = 4:
70 - 3g = 70 - 3(4) = 70 - 12 = 58

We can note that as g increases by 1, the value of the expression decreases by 3.

Hope this helps :)
Elanso [62]3 years ago
7 0

Answer:

it decreases

Step-by-step explanation:

khan

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Country days scholarship rounds receive a gift of $135000. The money is invested in stock, bonds, and CDs. CDs pay 2.75% interes
Vsevolod [243]

Answer:

  • CDs — $10,000
  • bonds — $80,000
  • stocks — $45,000

Step-by-step explanation:

Let the variables c, b, s represent the dollar amounts invested in CDs, stocks, and bonds, respectively. Then the problem statement gives us 3 relations between these 3 variables:

  c + b + s = 135000 . . . . . . . . . . . . . . . . . total invested

  0.0275c +.045b +0.104s = 8555 . . . . . total income earned

  -c + b = 70000 . . . . . . . . . . . . . . . . . . . . . 70,000 more was in bonds than CDs

Using the third equation to write an expression for b, we can substitute into the other two equations.

  b = 70000 +c . . . . . . . . . . . . . . . . expression we can substitute for b

  c + (70000 +c) +s = 135000 . . . . substitute for b in the first equation

  2c +s = 65000 . . . . . . . . . . . . . . . . [eq4] simplify

  .0275c +.045(70000 +c) +.104s = 8555 . . . . . substitute for b in 2nd eqn

  .0725c +.104s = 5405 . . . . . . . . . . [eq5] simplify

Using [eq4], we can write an expression for s that can be substituted into [eq5].

  s = 65000 -2c . . . . . . . expression we can substitute for s

  0.0725c +0.104(65000 -2c) = 5405

  -0.1355c = -1355 . . . . . . . . . . . . . . . . . . . . subtract 6760, simplify

  c = 1355/.1355 = 10,000

  s = 65000 -2×10000 = 45,000

  b = 70000 +10000 = 80,000

The amounts invested in stocks, bonds, and CDs were $45,000, $80,000, and $10,000, respectively.

_____

Alternatively, you can reduce the augmented matrix for this problem to row-echelon form using any of several calculators or on-line sites. That matrix is ...

\left[\begin{array}{ccc|c}1&1&1&135000\\0.0275&0.045&0.104&8555\\-1&1&0&70000\end{array}\right]

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3 years ago
Meg found one treasure at − 3 4 foot. Which of these location are higher than − 3 4 foot? Check all that apply. Negative StartFr
Neporo4naja [7]

Answer:

\frac{-1}{4}and \frac{-5}{8} are the locations higher than \frac{-3}{4} foot

Step-by-step explanation:

We are given that Meg found one treasure at \frac{-3}{4}foot

We are supposed to find Which of these location are higher than \frac{-3}{4}foot?

i) -\frac{7}{8}

So, this location is not  higher than \frac{-3}{4}foot

ii)-\frac{1}{4}

So, -\frac{1}{4}>\frac{-3}{4}

So, this location is higher than\frac{-3}{4} foot

iii) - 1 foot

-1 < \frac{-3}{4}

So,this location is not  higher than\frac{-3}{4}foot

iv)-2 feet

So,this location is not  higher than\frac{-3}{4}foot

v)\frac{-5}{8}

So, this location is higher than \frac{-3}{4}foot

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Austin is on the swim team. Each week he swims a total of 3000 meters. How many kilometers does he swim each week?
marishachu [46]

Answer:

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Step-by-step explanation:

<em>(NOTE: One kilometer is 1000 meters)</em>

Divide 3000 by 1000 to get 3

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elena-14-01-66 [18.8K]

similar answer 11x^2/12y-

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Answer:

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Step-by-step explanation:

The slope of a line can be seen as:

\frac{rise}{run}

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In the graph, you would move up until you are in line with one of the other points. Starting at (-4,5), move up one space, then to the left 4 spaces to reach the point (0,6). Using the spaces moved in the rise over run:

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Therefore, the slope is \frac{1}{4}.

This is true for any two points on the line.

:Done

*When you move up, the number will be positive (\frac{+y}{x} ). If you move down, the number will be negative (\frac{-y}{x} ). If you move left, the number will be positive (\frac{y}{+x}). If you move right, the number will be negative (\frac{y}{-x} ). Keep this in mind. It is very important.

**Always <em>move along the y-axis first</em>, then move along the x-axis. If you do it the other way, the slope will be wrong.

6 0
3 years ago
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