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DochEvi [55]
3 years ago
11

Can you guys help please with all of the questions please

Mathematics
1 answer:
Alex17521 [72]3 years ago
8 0

Answer:

Step-by-step explanation:

a) $1.60 and $2.25

b)Unit rate

20 pens for $1.60

One pen=\frac{1.60}{20}=0.08

25 pens for $2.25

onepen=\frac{2.25}{25}=0.9

c)20 pens for $1.60 is best buy

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A ladder 8m long rests against a house. If the house is 6m high and the bottom of the ladder is 2m from the house, how much of t
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At 88°F, a certain insect chirps at a rate of 64 times per minute, and at 97°F, they chirp 118 times per minute. Write an equati
Allushta [10]

Let " x "  denotes the temperature in degree Fahrenheit .

Let  " y " denotes the chirp rate per minute .

We have given that at 88 degree Fahrenheit , chirp rate is 64 times per minute and at 97 degree Fahrenheit , it is 118 times per minute .

We write this information in coordinate form ( x,y) .

We have ( x₁ ,y₁)  = ( 88 , 64 )  and  ( x₂ , y₂) = ( 97,118) .

                         y₂   - y ₁                     118  -   64                  54

Slope , m  =  ----------------------  =    ---------------------  =     -----------

                          x₂  - x₁                        97   -  88                   9

           Slope , m =  6 .


Equation of line in slope intercept form is

y = m x + b  where  ' m' is slope and ' b ' is intercept .

Plug value of m  , we get

y = 6 x + b .

To find value of b , we put ( 88 , 64 ) in place of x and y .

Put x = 88 and y = 64 , we get

64 = 6 * 88 + b

64  = 528 + b

64 - 528 =  b

- 464 = b

Thus we get b = - 464 .

So the equation become

y = 6 x - 464 .

Equation in slope intercept form representing the situation is

y = 6 x - 464 .

6 0
3 years ago
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