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motikmotik
3 years ago
6

What does the slope of the graph of this equation represents ? Y=16,500-1,500x

Mathematics
1 answer:
Levart [38]3 years ago
4 0
Use photo math it works great
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A coffee shop sold 7 cups,3 pints, and 9 quarts of coffee. Express the number of cups of coffee sold in base 2
sweet-ann [11.9K]

Answer:

The total number of cups of coffee sold are 51 which can be expressed in base 2 as 110011.

Step-by-step explanation:

Considering the following information

  • 1 cup = 1 cup
  • 7 pints = 14 cups      ∵ 1 pint = 2 cups
  • 9 quarts = 36 cups    ∵ 1 quart = 4 cups

So, total number of cups will be = 51 cups

Converting 51 to the base 2

Divide  51 by 2 by repeatedly and observe remainder

\frac{51}{2}=25\quad \mathrm{Remainder}\quad \:1

\frac{25}{2}=12\quad \mathrm{Remainder}\quad \:1

\frac{12}{2}=6\quad \mathrm{Remainder}\quad \:0

\frac{6}{2}=3\quad \mathrm{Remainder}\quad \:0

\frac{3}{2}=1\quad \mathrm{Remainder}\quad \:1

\frac{1}{2}=0\quad \mathrm{Remainder}\quad \:1

Read and observe the remainder from top to bottom would yield 110011.

Therefore, the total number of cups of coffee sold are 51 which can be expressed in base 2 as 110011.

<em>Keywords: base 2, number</em>

<em> Learn more about number bases from brainly.com/question/13725148</em>

<em> #learnwithBrainly</em>

8 0
3 years ago
What is the volume of 12 inches by 2 inches by 12 inches
Orlov [11]

Answer:

288in^3

Step-by-step explanation:

formula for volume is l*w*h

substitute the variables for 12*2*12=288

Thus the answer is 288in^3

7 0
3 years ago
Read 2 more answers
How many moles are in a sample of 4.57 x 1024 atoms of neon (Ne)?
damaskus [11]

Answer:

151 mol Ne.

Step-by-step explanation:

I did work on Paper sorry if i can't type it, It'll mess it up.

3 0
3 years ago
If construction costs are $160,000 per kilometer, find the cost of building the new road in the figure
MAVERICK [17]

Answer:

$4,160,000

Step-by-step explanation:

First, find the length of the new road in km using Pythagorean Theorem.

According to Pythagorean Theorem:

c² = a² + b²,

Where, c is the longest leg, which is the hypotenuse, a and b are the 2 other legs of the ∆.

Since we are calculating the lenght in km, convert each lenght of the two legs of the ∆ into km.

1 km = 1,000 m

10,000 m = 10 km

24,000 m = 24 km

c² = 24² + 10²

c² = 576 + 100

c² = 676

c = √676

c = 26 km

Lenght of the new road = 26 km

If cost of construction is $160,000 per kilometer, therefore, cost of constructing 26 km road = 160,000*26 = $4,160,000

7 0
3 years ago
Solve the compound inequality. Graph your solution. 2x – 2 &lt; –12 or 2x + 3 &gt; 7 x &lt; –5 or x &gt; 5 x &lt; –5 or x &gt; 2
Brilliant_brown [7]

Answer:

The solution region is x < –5 and x > 2

Step-by-step explanation:

We are given the inequalities, 2x–2 < –12 or 2x+3 > 7

Upon simplifying the inequalities, we get,

A. 2x-2 < -12

2x-2 < -12 i.e. 2x < -10 i.e. x < -5

B.  2x+3 > 7

2x+3 > 7 i.e. 2x > 4 i.e. x > 2

So, we get the solution is x or x>2 and the plotted region can be seen below.

4 0
3 years ago
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