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Cloud [144]
3 years ago
5

PLS I NEED ASAP I WILL GIVE BRAINLIEST AND 30+ POINTS

Mathematics
1 answer:
Nadya [2.5K]3 years ago
7 0

Question:

The diagram below shows the graph of a proportional relationship. The plotted point is (6,9) .

What is the unit rate of this graph? Be sure to simplify your answer.

Answer:

The unit rate of this graph is 1.5

Explanation:

The graph shows a proportional relationship and the plotted point is (6,9).

The unit rate of the graph can be determined by the formula,

\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=m

Thus, from the graph, the coordinates are (0,0) and (6,9)

Substituting the coordinates in the formula, we have,

\frac{6-0}{9-0} =m

Subtracting, we get,

m=\frac{6}{9} =1.5

Thus, the unit rate of the graph is 1.5

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If 11,000 is 85% of what was in my bank account, how much did I originally have?
Mrrafil [7]
You can set it up like a proportion:

\frac{11000}{0.85}    \frac{x}{1.00}

Cross multiply: 
11000*1 = 11000
11000/0.85 = 12,941.18

You had roughly $12,941.18 in your bank account.
6 0
3 years ago
Sarah bought pencils and markers for school. She bought 3 times as many pencils as markers.
Serhud [2]

Answer:

Sarah bought 30 pencils

Step-by-step explanation:

1. Let define p, as the number of pencils bought, and m, as the number of markers bought.

2.

0.15p+0.30m=7.50

p=3m

3. Substitute p in the first equation to 3m since p=3m as defined.

0.15(3m) + 0.30m=7.50\\0.45m+0.30m=7.50\\0.75m=7.50\\m=10

plug m into equation p=3m to find the number of pencils bought

p=3m=3(10)=30

7 0
3 years ago
What are the exact values of sin(2π3radians) and cos(2π3radians)
topjm [15]
We know that
2π/3 radians-------> convert to degrees-----> 2*180/3---> 120°
120°=90°+30°

Part a) Find <span>sin(2π/3)
</span>sin(2π/3)=sin (90°+30°)
we know that
sin (A+B)=sin A*cos B+cos A*sin B
so
sin (90°+30°)=sin 90*cos 30+cos 90*sin 30
sin 90=1
cos 30=√3/2
cos 90=0
sin 30=1/2
sin (90°+30°)=1*√3/2+0*1/2-----> √3/2

the answer part a) is
sin(2π/3)=√3/2

Part b) Find cos (2π/3)
cos (2π/3)=cos (90°+30°)
we know that
cos (A+B)=cos A*cos B-sin A*sin B
so
cos (90°+30°)=cos 90*cos 30-sin 90*sin 30
sin 90=1
cos 30=√3/2
cos 90=0
sin 30=1/2
cos (90°+30°)=0*√3/2-1*1/2----> -1/2

the answer part b) is
cos (2π/3)=-1/2


4 0
3 years ago
Club A has fee of $21 plus $23 monthly Club B has fee of $12 plus $26 monthly When will they be the same and what is it?
mart [117]

Answer:

hmmmmmmmm

Step-by-step explanation:

4 0
3 years ago
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Your parents allow you to have Internet access on your cell phone as long as you prepay the bill. If your bill is $17.50 per wee
Darina [25.2K]

Answer:

2.5 dollars a day

Step-by-step explanation:

17.5 /7 in calculator

5 0
3 years ago
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