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ira [324]
3 years ago
7

if you can travel 156 miles on 4 gallons of gasoline how many miles can you travel on 6 gallons of gas

Mathematics
2 answers:
bearhunter [10]3 years ago
4 0
Write and solve an eqn of ratios to determine the answer to this qu:

156 miles      4 gallons
-------------- = --------------
        x             6 gallons

So (156)(6) = 4x, or 39(6) = x = 234 miles (answer)

Alternatively, determine the unit rate:

156 miles
-------------- = 39 mpg
4 gallons

Then 39 mpg times 6 gallons comes out to 234 miles.
Luden [163]3 years ago
3 0
Its 234!!!!!!!!!!!!!! Just checked my work
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a salesperson receives a 2.5% commission on sales. what commission does the salesperson receive for $8000 in sales?
Gelneren [198K]
The sales person receives a $200 sales commission. To get the answer, you would convert the percentage to a decimal, in this case... 2.5%, would become 0.025. You would then multiply 0.025•8000 to get your answer of $200. Which means in total, the salesperson would receive $8200.
7 0
3 years ago
Ben's favorite deli says the average serving time is 12 minutes. Ben notices that the wait time at the deli varies at different
patriot [66]

Answer:

Step-by-step explanation:

Given Ben's observations when the wait time is as advertised represented by the equation 2|x − 2| − 12 = 0, to get the times when the serving time is as advertised, relative to noon, we will calculate for the value of x in the equation;

Note that the modulus of the function |x-2| will return both positive and negative value.

For the positive value of |x-2|;

2|x − 2| − 12 = 0

2(x − 2) − 12 = 0

open the parenthesis

2x-4 - 12 = 0

2x - 16 = 0

add 16 to both sides

2x-16+16 = 0+16

2x = 16

x = 16/2

x = 8

For the negative value of |x-2|;

2|x − 2| − 12 = 0

-2(x − 2) − 12 = 0

open the parenthesis

-2x+4 - 12 = 0

-2x - 8 = 0

add 8 to both sides

-2x-8+8 = 0+8

-2x = 8

x = -8/2

x = -4

<em>Hence the times when the serving time is as advertised, relative to noon are 8minutes and 4minutes </em>

6 0
3 years ago
Read 2 more answers
Using the Binomial Probability table, find P(X) when n = 7, X &lt; 3, and p = 0.5 A. 0.273 B. 0.500 C. 0.227 D. 0.773
Nat2105 [25]

Answer:

0.227

Step-by-step explanation:

Given that X is binomial with n=7 and p =0.5

To find the probability for P(X<3)

i.e. we have to find prob as =P(x=0,1,2)

=P(X=0)+P(X=1)+P(x=2)

P(X=r)=7Cr(0.5)^7

Using binomial table we find prob

P(X<3)=0.2265

Round off this to 3 decimals as

0.227

Hence answer is 0.227

8 0
3 years ago
What is the x-value at which the graphs of y = x2 – 2x + 1 and y = x2 + 2x – 7 inter-<br> sect?
Kitty [74]

Answer:

x = 2

Step-by-step explanation:

Both equations are equal to y, so they're also equal to each other.  We then set them equal to each other:

x^2 - 2x + 1  =  x^2 + 2x - 7

We now do algebra to isolate x.  Subtract 1 from both sides.

x^2 - 2x  =  x^2 + 2x - 8

Subtract 2x from both sides.

x^2 - 4x  =  x^2 - 8

Subtract x^2 from both sides.

-4x = -8

Divide both sides by -4.

x = 2

5 0
3 years ago
PLEASE HELP!! #8<br> k(x)=4x-2 on [3, 3+h]
zlopas [31]
X=h/4+5/4 is the correct answer
4 0
3 years ago
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