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Alekssandra [29.7K]
3 years ago
5

sara drives 117 miles on 5.2 gallons of gas.she uses this information to calculate how many miles per gallon she can drive. usin

g this result, how many miles can sara drive on 12 gallons of gas?
Mathematics
1 answer:
Vesnalui [34]3 years ago
4 0
I think its 270 miles per gallon
 
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Which expression is equivalent to 3 ( x + 10)
devlian [24]

Answer:

3x + 30

Step-by-step explanation:

3(x+10)\\\\\text{Distribute '3' into 'x + 10'}\\\\\\3(x+10)\rightarrow3x+30\\\\\left \{ {{3*x=3x} \atop {3*10=30}} \right.

3x + 30 would be an equivalent expression.

Hope this helps.

8 0
3 years ago
Show work and Factor 4x^2+xy-18y^2
grigory [225]

Answer:

4x^2+xy-18y^2=(4x+9y)\,(x-2y)

Step-by-step explanation:

Let's examine the following general product of two binomials with variables x and y in different terms:

(ax+by)\,(cx+dy)= ac\,x^2+adxy+bcxy+bdy^2

so we want the following to happen:

a\,c = 4\\ad+bc=1\\bd--18

Notice as well that ad+bc =1 means that those two products must differ in just one unit so, one of them has to be negative, or three of them negative. Given that the product bd=-18, then we can consider the case in which one of this  (b or d) is the negative factor. So let's then assume that a\,\,and \,\,c are positive.

We can then try combinations for  a\,\,and \,\,c  such as:

a = 4;\,\,c=1\\a=2;\,\,c=2\\a=1;\,\,c=4

Just by selecting the first one (a=4;\,\,c=1)

we get that 4d_b=1\\b=-4d-1

and since

bd=-18\\(-4d-1)\,d=-18\\-4d^2-d=-18\\4d^2+d-18=0

This quadratic equation give as one of its solutions the integer: d = -2, and consequently,

d=-18/(-2)\\d=9

Now we have a good combination of parameters to render the factoring form of the original trinomial:

a=4; \,\,b=9;\,\,c=1;\,\,d=-2

which makes our factorization:

(4x+9y)\,(x-2y)=4x^2+xy-18y^2

6 0
3 years ago
Ewans flight is schheduled to travel 1,750 in 3.5 hours . at what rate does it travel per hour
Karo-lina-s [1.5K]

Answer:

It travel at the rate of <u>500 miles per hour</u>.

Step-by-step explanation:

Given:

Ewans flight is scheduled to travel 1,750 miles in 3.5 hours.

Now, to find the rate it travel per hour.

Distance = 1,750 miles.

Time = 3.5 hours.

So, to get the rate we put formula:

Speed=\frac{distance}{time}

Speed=\frac{1750\ miles}{3.5\ hours}

Speed=500\ miles\ per\ hour

Therefore, it travel at the rate of 500 miles per hour.

7 0
3 years ago
Help!! Math question
aksik [14]
18 - 7x = -20.52.5 = 7xx = 5/14 (c)


5 0
3 years ago
Read 2 more answers
What is the slope intercept form of the equation of 6x+5y=-15
Soloha48 [4]
Slope intercept form is \sf y=mx+b, where 'm' is the slope and 'b' is the y-intercept.

\sf 6x+5y=-15

Subtract 6x to both sides:

\sf 5y=-6x-15

Divide 5 to both sides:

\boxed{\sf y=-\dfrac{6}{5}x-3}
7 0
3 years ago
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