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3 years ago

A is directly proportional to b such that a = 2b. what is a if B =3? Also, what is b if a =7?

Mathematics

2 answers:

Papessa [141]3 years ago

5 0

If b was 3 a will be 6 because 2*3=6
and for the second part b will be 3.5 because 2*3.5=7

slava [35]3 years ago

4 0

See attached

Solve using algebra!

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3 years ago

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3 years ago

Y varies directly with X and has a constant rate of change of 6. When the value of Y is 11, then the value of X could be _____.

Bogdan [553]

Answer: The correct option is (B) less than 2.

Step-by-step explanation: Given that Y varies directly with X and has a constant rate of change of 6.

We are to find the possible value of X when the value of Y is 11.

Since Y varies directly with X, so we can write

$Y\propto X\\\\\Rightarrow Y=kx~~~~~~~~~~~~~~~(i),~~~~~~~~~\textup{[where 'k' is the constant of variation]}$

Since the rate of change is constant and is equal to 6, so we must have

$k=6.$

So, from equation (i), we have

$Y=kX\\\\\Rightarrow Y=6X~~~~~~~~~~~~~~~~~~~~~~(ii)$

Now, when Y = 11, then from equation (ii), we get

$Y=6X\\\\\Rightarrow 11=6X\\\\\Rightarrow X=\dfrac{11}{6}$

Thus, the value of X is less than 2 when Y = 11.

Option (B) is CORRECT.

8 0

3 years ago

Car A is rated at 32 mi/gal (miles per gallon) for city driving and 29 mi/gal for highway driving. Car B is rated at 27 mi/g

Irina18 [472]

The gallons of gas that each vehicle would consume for the different amounts of driving are as follows:

a) For 300 mi of city driving plus 100 mi of highway driving, car A will consume <u>12.825 gallons</u> of gas, while car B will consume <u>14.05 gallons</u> of gas.

b) For 100 mi of city driving plus 300 mi of highway driving, car A will consume <u>13.475 gallons</u> of gas, while car B will consume <u>12.52 gallons</u> of gas.

<h3>Data and Calculations:</h3><h3>Rating (miles per gallon)</h3>

City Driving Highway Driving

Car A 32 mi/gal 29 mi/gal

Car B 27 mi/gal 34 mi/gal

<h3>Miles of Driving</h3>

City Driving Highway Driving

a) 300 mi 100 mi

b) 100 mi 300 mi

<h3>Car A's Consumption of Gas:</h3>

City Driving Highway Driving Total

a) 9.375 gal.(300/32) 3.45 gal. (100/29) 12.825 gal.

b) 3.125 gal.(100/32) 10.35 gal (300/29) 13.475 gal.

<h3>Car B's Consumption of Gas:</h3>

City Driving Highway Driving Total

a) 11.11 gal. (300/27) 2.94 gal. (100/34) 14.05 gal.

b) 3.70 gal. (100/27) 8.82 gal. (300/34) 12.52 gal.

Thus, different driving ratings (miles per gallon) show the differences in gas consumption by vehicles in city driving and highway driving.

Learn more about the consumption of gas for driving at brainly.com/question/13244789

#SPJ1

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