I don't get how to do this, can someone help?

If Michael drove 135 miles on 6 gallons of gas, how far can he drive on 15 gallons of gas?

laiz [17]

Answer:337.5 miles

Step-by-step explanation:

Find the unit rate 135/6 = 22.5/1

He can drive 22.5 miles on 1 gallon of gas

Then multiply by 15

22.5x15= 337.5

6 0

3 years ago

Find the x-intercepts/roots of the polynomial function. Also, identify the degree of the polynomial

Mrac [35]

Answer:

Step-by-step explanation:

7.

roots=-2,-1,1,3

critical points=(-1.5,-3),(0,6),(2,-13)

absolute minimum=-13

End behavior :approaches +infinity

Relative max=6 at (0,6)

Relative min. =-3 at (-1.5,-3)

and -13 at (2,-13)

interval of increase=(-1.5,0)∪(2,∞)

interval of decrease=(-∞,-1.5)∪(0,4)

8.

roots=-1,2

critical points=(0.5,10.5),(4,-10.5)

Abs.max/abs.min=not defined

End behavior:-∞ to +∞

Relative max=10.5

Relative min=-10.5

interval of increase=(-∞,0.5) ∪ (4,∞)

interval of decrease=(0.5,4)

4 0

3 years ago

the total attendance at a concert in a theater hall was 1500, of this total 400 were children,850 were women , and the remaining

AleksandrR [38]

Answer:

Below!

Step-by step explanation:

We know that:

400 + 850 + m = 1500

Solution of Question A:

Percent of children: Total children/Total attendance

=> 400/1500
=> 4/15
=> 0.27 (Rounded to nearest hundredth)
=> 0.27 x 100
=> 27%

Hence, the percent of children is about 27%.

Solution of Question B:

Percent of women: Total women/Total attendance

=> 850/1500
=> 85/150
=> 17/30
=> 17/30 x 100
=> 17/3 x 10
=> 170/3
=> 56.67%

Hence, the percent of women is 56.67%.

Solution of Question C:

400 + 850 + m = 1500
=> 1250 + m = 1500
=> m = 1500 - 1250
=> m = 250

Percent of men: Total men/Total attendance

=> 250/1500
=> 1/6
=> 0.17 (Rounded to nearest hundredth)
=> 0.17 x 100
=> 17%

Hence, the percent of men is about 17%

Hoped this helped.

$BrainiacUser1357$

3 0

2 years ago

Kelly paid $45.36 for a sweater that was on sale for 25% off the original price. She paid 8% sales tax on the sale price.

Shalnov [3]

Take 45.36 *.08 to get the price of the sweater 45.36 *.08 =3.6288 so take 45.36-3.63= 41.73 and take 41.73 *.25 = 10.4325 take 41.73+10.43=52.16 is the original price of the sweater

5 0

3 years ago

3 L of water of density 1 gram per centimetre cubed is added to 12litres of alcohol of density of 0.8 gram per centimetre cubed,

Natasha2012 [34]

Answer:

84%

Step-by-step explanation:

each liter is 1000 cubic centimetre, so you have a total density of 3000, but instead think of 3 liters being 100% density and think of alcohol as 80% density, there are 4 times at much 80% than 100% liquid.

with 3 liters of alcohol, 3 liters of water is now 90% density or 0.9 gram per centimetre. add another 3 liters and it is 2/3, so the grams per centimetre would be 8.66667 or 8 2/3's

if you add another 3 liters, THEN it is 85%

add 12 liters in total and the final answer 84%

4 0

3 years ago

I don't get how to do this, can someone help?​

I don't get how to do this, can someone help?