Harry fills up his Jeep with gasoline and notes that the odometer reading is miles. The next time he fills up his Jeep, he pays for gallons of gasoline. He notes his odometer reading is miles. How many miles per gallon did he get?

Answer:

Step-by-step explanation:

(5, 14.6)

(10, 14.1)

Answer: The answer is 35.43 because 29.53 times 20% is 5.90, so you add 5.90 to 29.53 to get 35.43.

Answer:

Step-by-step explanation:

(3x+4y)(x+y)

Solution=3x^2+4xy+3xy+4y^2

=3x^2+7xy+4y^2

Answer:

yes though i am not completely sure

Step-by-step explanation:

Answer:

Lower

Step-by-step explanation:

Use the number 100 to see how the value changes:

First, calculate the 60% drop:

100(0.4)

= 40

Then, calculate the 75% increase:

40(1.75)

= 70

So, since 70 is smaller than 100, the value is lower than where it started.

Answer:

3m^4

Step-by-step explanation:

x^y

x is the base and y is the exponent

9514 1404 393

Answer:

Step-by-step explanation:

Each root r gives rise to a binomial factor (x-r). Each complex root also has a conjugate root, so roots ±ri give rise to a binomial factor (x^2 +r^2).

__

1. p(x) = (x -(-6))(x -3)(x -5)

  p(x) = (x+6)(x-3)(x-5)

__

2. p(x) = (x -2)(x -(-2))(x^2 +6^2)

  p(x) = (x -2)(x +2)(x^2 +36)

__

If you want standard form, you can start with factored form, then multiply it out.

3. p(x) = (x -1)(x +1)(x -7) = (x^2 -1)(x -7) = (x^2 -1)x +(x^2 -1)(-7)

  p(x) = x^3 -7x^2 -x +7

__

4. p(x) = (x -3)(x +3)(x^2 +2^2) = (x^2 -9)(x^2 +4)

  p(x) = x^4 -5x^2 -36

Answer:

attached is the answer :)

Step-by-step explanation:

The length of the tangent AB is [tex]\sqrt{2a^{2}+2b^{2} }[/tex] if the radii of the largest circle is a and the radii of the smallest one is b.

It is a line that touches a single point on the circle.

Firstly we have to draw a perpendicular from O to the radii of the smallest circle. In this way AOLB becomes a rectangle. We let the point where the bisector intersect the radii as L.

OA=a

Lb=a also

O'L=b-a

In triangle OLO' we use pythagoras to calculate the value of OL which wil then equal to AB so,

OL=[tex]\sqrt{(b-a)^{2}+(a+b)^{2} }[/tex]

=[tex]\sqrt{2a^{2}+2b^{2} }[/tex]

It will be the length of AB also.

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Answer:

x + 3

Step-by-step explanation:

Answer:

i think the answer is B

i am sorry if this is wrong

Step-by-step explanation:

Answer:

x= -5

Step-by-step explanation:

3х - 4<-19=

add +4 to both sides

3x<-15

divide 3 on both sides

x<-5

might have to rewrite the final answer

Answer:

4.5

Step-by-step explanation:

2+1=3

2/3+5/6=1.5

3+1.5=4.5

Answer:

19

Step-by-step explanation:

While it's really easy to just divide, I'm sure your teacher wants an equation so:

1615=85x                                                      here x= skittle boxes

1615/85=x            In this line you can use divide to cancel out the multiplication, giving you

x=19

Answer: $1.75

Step-by-step explanation:

Increase 1.25 by 4.25

5.31

Presently increase 1.25 by 2.85

3.56

Take away 3.56 from 5.31

1.75

Answer:

Beef= 5.75

Turkey=4.35

Beef cost is $1.40 more than turkey.

Step-by-step explanation:

Answer:

No one because They bought the same amount. 2/4 is equvalent to 1/2, meaning they both are half a pound. :)

Step-by-step explanation:

If this helps pls mark me brainliest

Have a great day :)

Answer:

Venn Diagram

Step-by-step explanation:

Its a graph that's used in listing similarities and differences the other two aren't graphs but math terms

Answer:

nanogon have 27 diagnals

Answer:

8

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

First Of All We Have Factorize These Two Numbers And Then We Will Find Their Highest Common Factor

16–2×2×2×2

24–2×2×2×3

So The Highest Common Factor is 8

That's Because Both Can be Divided by 8 and 8 is their Highest Common diviser.

Hope This Helps

Answer:

Height of the pole = 9.17 chi.

Length of the rope = 12.17 chi.

Step-by-step explanation:

Given that the rope is hanging from the top of a pole having height x chi and the portion of the rope lying on the ground is 3 chi.

So, the length of the rope= x + 3 chi.

Let AB represents the pole in the figure, and one end of the rope is at point A.

When the rope is tightly stretched, let C be the other end of the rope as shown in the triangle.

The length of the rope = AC.

\Rightarrow AC=x+3 chi.

Distance from the bottom of the pole, point A, to the other end of the pole, point B, is 8 chi.

So, BC=8 chi.

As the triangle ABC is a right-angled triangle, so by using Pythagoras theorem,

[tex]AC^2= AB^2+BC^2[/tex]

[tex]\Rightarrow (x+3)^2=x^2+8^2[/tex]

[tex]\Rightarrow x^2+6x+9=x^2+64[/tex]

[tex]\Rightarrow 6x=64-9=55[/tex]

[tex]\Rightarrow x=55/6=9.17[/tex] chi.

Hence, the height of the pole, [tex]AB=x=9.17[/tex] chi,

and the length of the rope, [tex]x+3=9.17+3=12.17[/tex] chi.

Answer:

more

Step-by-step explanation:

brainliest please

Answer:

[tex] \frac{20}{29}[/tex]

Step-by-step explanation:

Equation of unit circle is:

[tex] x^2 + y^2 = 1[/tex]

Plug [tex] y = \frac{-21}{29}[/tex] in above equation.

[tex] x^2 + \bigg( \frac{-21}{29}\bigg)^2 = 1\\\\

x^2 + \frac{441}{841} = 1\\\\

x^2 = 1-\frac{441}{841}\\\\

x^2 = \frac{841-441}{841}\\\\

x^2 = \frac{400}{841}\\\\

x =\pm\sqrt{ \frac{400}{841}}\\\\

x =\pm\frac{20}{29}\\\\

[/tex]

Since, point P is in the fourth quadrant.

Therefore, x - coordinate should be positive.

[tex] \huge \red {\boxed {\therefore x =\frac{20}{29}}} \\\\

[/tex]

The value of z/w is, (8 + 2i)

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The graph is shown in figure.

And, The point z = (6 + 10i)

The point w = (1 + i)

Now,

We can find the value of z/w is,

⇒ z/w = (6 + 10i) / (1 + i)

         = (6 + 10i) (1 - i) / (1 + i) (1 - i)

          = (6 - 6i + 10i - 10i²) / (1 - i²)

          = (6 + 4i + 10) / (1 + 1)

          = (4i + 16) / 2

          = (8 + 2i)

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Answer:

The probability that the weight of a randomly selected pilot is between 120 lbs. and 161 lbs. is 0.52.

Step-by-step explanation:

Let X = weight of pilots.

It is provided that X follows a normal distribution with mean, μ = 130 lbs. and standard deviation, σ = 27.3 lbs.

Compute the probability that the weight of a randomly selected pilot is between 120 lbs. and 161 lbs. as follows:

[tex]P(120<X<161)=P(\frac{120-130}{27.3}<\frac{X-\mu}{\sigma}<\frac{161-130}{27.3})\\\\=P(-0.37<Z<1.14)\\\\=P(Z<1.14)-P(Z<-0.37)\\\\=0.87286-0.35569\\\\=0.51717\\\\\approx 0.52[/tex]

Thus, the probability that the weight of a randomly selected pilot is between 120 lbs. and 161 lbs. is 0.52.

Answer:

35 Calories

Step-by-step explanation:

15 is 1/4 of 60

60/15 = 4

140/4 = 35

Since 15 is 1/4 the size of 60, the number of calories will be 1/4 the amount as well. That is why you divide 140 by 4 to find the total calories for the mass of 15.

Answer:

YAZ WAX is the answer...i couldn't put it as its shown on the problem but its the same letters

Step-by-step explanation:

i took the test and got 5/5....this answer was correct

(5,-2)

that's all. up and down basically means that the point is moving along the x axis.

Answer:

72

Step-by-step explanation:

24 / 3 = 8

so

8*7 = 72

Answer:

72

Step-by-step explanation

24 / 3 = 8

so

8*7 = 72