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In-s [12.5K]
3 years ago
15

danny net income for a period is 2,110.his gross income is 2,750. about what fraction of danny gross income is deducted from his

pay
Mathematics
1 answer:
Sergeu [11.5K]3 years ago
7 0
About 1/3
was deducted
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Graph f(x)=3x-1 and g(x)=2^x on the same coordinate plane.
julsineya [31]

Answer:

B. 1 and D. 3.  

Step-by-step explanation:

The figure below shows the graphs of f(x) = 3x - 1 (red) and g(x) = 2^x (blue).

The solutions of 3x - 1 = 2^x are the points at which the two curves intersect.

The solutions are at x = 1 and x = 3.

Check:

3 × 1 - 1 = 2¹     3 × 3 -1 = 2³

    3 - 1 = 2           9 - 1 = 8

        2 = 2                8 = 8

7 0
4 years ago
Karl is building a rectangular garden bed. The length is 6 feet. She has 20 feet of boards to make the sides. Write and solve an
natali 33 [55]

Answer:

The width of the garden bed must be less than or equal to 4 feet.

w\leq4

Explanation:

Given that;

She has 20 feet of boards to make the sides.

The perimeter of the garden bed must not be more than 20 feet

\begin{gathered} P=2l+2w\leq20 \\ 2l+2w\leq20 \end{gathered}

Given;

The length is 6 feet;

l=6

To get the inequality for the width w, let us substitute the value of the length into the inequality above and simplify;

\begin{gathered} 2l+2w\leq20 \\ 2(6)+2w\leq20 \\ 12+2w\leq20 \\ 2w\leq20-12 \\ 2w\leq8 \\ \frac{2w}{2}\leq\frac{8}{2} \\ w\leq4 \end{gathered}

Therefore, the width of the garden bed must be less than or equal to 4 feet.

w\leq4

8 0
1 year ago
Sarah's age is five less than twice her sister's age. Sarah is fifteen years old.
saul85 [17]
Let her sisters age be x.
=>sister .....x

Sarah.
twice x=2x. then less than 5
=> (2x-5 )
if Sarah = 15 years
by substation, 2x-5=15
3 0
4 years ago
Read 2 more answers
How can you represent and summarize data in a dot plot?
krek1111 [17]
In a dot plot, each one of the dots represents a value in the data set. When there are multiple values at a particular number, the dots just get stacked on top of each other. Using the dots in the plot, you can find the mean, median, mode or any other statistic that you need to summarize the data.
5 0
3 years ago
What is the Kinetic energy of a 2000 kg bus that is moving at 30m/s? <br><br> Explain please
agasfer [191]

There's a formula for that.

KE = (1/2)mv²

... = (1/2)(2000 kg)(30 m/s)²

... = 900,000 kg·m²/s²

... = 900,000 J

_____

It is helpful to know the relationship between kilograms, meters, seconds, and Newtons or Joules.

1 J = 1 kg·m²/s²

4 0
4 years ago
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