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Naya [18.7K]
4 years ago
11

Give the slope of the graph and the unit rate

Mathematics
1 answer:
Lerok [7]4 years ago
6 0

Answer:

y=5/4 x

The slope is 5/4

Step-by-step explanation:

To solve this problem we need  to find the equation of the line, y=mx+b

We've been given a table with several points, so we can use two of them to perform our calculus.

To obtain the slope we need to use the equation of slopes:

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

Where (x1,y1) =(4,5) and (x2,y2)=(8,10)

m= (10-5)/(8-4)=5/4

To obtain b we can use the point (x2,y2)=(8,10) in the equation.

10=5/4 *8 +b

b=0

Hence our line has the following equation:

y=5/4 x

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Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
5. Solve the problem and find the answer
Ghella [55]

Answer:

  x ≈ 263.1

Step-by-step explanation:

The marked sides are the hypotenuse and the side adjacent to the given angle. The relevant trig relation is ...

  Cos = Adjacent/Hypotenuse

  cos(70°) = 90/x . . . . use given values

  x = 90/cos(70°) . . . . multiply by x/cos(70°)

  x ≈ 263.1

_____

<em>Additional comment</em>

The mnemonic SOH CAH TOA is intended to remind you of the primary trig relations:

  Sin = Opposite/Hypotenuse

  Cos = Adjacent/Hypotenuse

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7 0
3 years ago
James' little brother has a plastic box in the shape of a rectangular prism. The plastic box is 912 inches long, 512 inches wide
Anna35 [415]
Multiply 912 x 512 x 3 = ? then divide your answer by 12 .
7 0
3 years ago
Plz help this is due tomorrow
docker41 [41]

Answer:

(Sorry I could only solve the first ten for now)

1a. 17 dl (1.7 liters)

2a. 600 mm (0.6 meters)

3a. 5,000 mg (5 grams)

4a. 6.5 dm (65 meters)

5a. 7 dal (7,000 liters)

6a. 35 g (35 grams)

7a. 10 kl (10,000 liters)

8a. .07 dm (0.7 meters)

9a. 700 cg (70 grams)

10a. 0.4 dg (40 grams)

Step-by-step explanation:

Metric System:

Kilo- (k): thousand times standard unit (divide standard 1,000)

Hecto- (h):  hundred times standard unit (divide standard by 100)

Deka- (da): ten times standard unit (divide standard by 10)

Meter (m); Gram (g); Liter/Litre (l): standard unit

Deci- (d): 0.1 times (a tenth of) standard unit (multiply 10 by standard)

Centi- (c): 0.01 times (a hundredth of) standard unit (multiply 100 by standard)

Milli- (m): 0.001 times (a thousandth of) standard unit (multiply standard by 1,000)

(There are more but you don't have to worry about it for now)

4 0
3 years ago
A youth group and their leaders visited mammoth cave. 2 adults and 5 students in one van paid $77 for the grand avenue tour of t
11111nata11111 [884]

Answer:

Adult price for tour is $16 and Student price for tour is $9.

Step-by-step explanation:

Let the Cost of Adult be x.

Let the Cost of Student be y.

Now Given:

2 adults and 5 students in one van paid $77.

Hence the equation can be framed as;

2x+5y=77 \ \ \ \ equation \ 1

Also Given;

2 adults and 7 students in one van paid $95.

Hence the equation can be framed as;

2x+7y=95 \ \ \ \ equation \ 2

Now Subtracting equation 1 from equation 2 we get;

(2x+7y)-(2x+5y)=95-77\\2x+7y-2x-5y=18\\2y=18\\\\y=\frac{18}{2} =\$9

Now Substituting the value of x in equation 1 we get;

2x+5y=77\\2x+5\times9=77\\2x+45=77\\2x=77-45\\2x=32\\\\x=\frac{32}{2}=\$16

Hence Adult price for tour is $16 and Student price for tour is $9.

5 0
4 years ago
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