Santiago’s car travels 120 miles with 10 gallons of gas. Gustavo’s car travels 25 miles with 4 gallons of gas. Whose car gets the best gas mileage (miles per gallon)?

=[tex]9\sqrt{2}[/tex]

Answer:

-3

Step-by-step explanation:

when you look at it go to where x is -2 then go down to where the blue line goes on the point

Answer:

39°

Step-by-step explanation:

Angles that are complement to one another add up to 90 degrees.

Now, to find the measure of Angle 4, we subtract 51 from 90.

Therefore, the answer is 39°.

The first step we take is to find the area of the square since the area of the square is equal to the area of the rectangle

       [tex]area-of-rectangle = area- of-square\\area-of-rectangle = 8*8 = 64in^2[/tex]

Another fact we know is that the length of the rectangle is four times the width.

      L = 4W

Now let's put the variables, found above, into the format to find the area of the rectangle

  [tex]area-of-rectangle = L * W, (L = 4W)\\area-of-rectangle = 4W * W\\\\64 = 4W^2\\16 = W^2\\\\W^2 = 16\\\\W = 4[/tex]

Since the Width is 4, L = 4 * W = 4 * 4 = 16 in.

So the length is 16 inches

Hope that helps!

Answer:

above is the solution to the question

Answer:

Step-by-step explanation:

As with other forms of direct and inverse variation, the "constant of variation" (k) is the constant multiplier in the equation. "Varies directly" means the independent variable is in the numerator. "Varies inversely" means the independent variable is in the denominator. The variation equation can be solved for missing values of constants or variables.

The equation for "varies directly with v and w, and inversely with z" means the equation is of the form ...

  y = k·v·w/z

Then the values of v or w are ...

  v = y·z/(k·w)

  w = y·z/(k·v)

__

  k = y·z/(v·w) = 5·24/(12·14) = 5/7; the equation is y = 5·v·w/(7·z)

  w = y·z/(k·v) = 18·8/(10·4) = 18/5; the equation is y = 10·v·w/z

  k = 3/2 (read from the equation); y = (3/2)v·w/z = 3·16·24/(2·6) = 96

  k = 8 (read from the equation); v = y·z/(k·w) = 20·2/(8·6) = 5/6

  y = k·v·w/z = 6·12·7/15 = 168/5; the equation is y = 6·v·w/z

Answer:

229 is the remainder.

Explanation:

In order to find the remainder, insert the value of x in the equation.

Given equation:

Given x value:

Find remainder:

[tex]\sf p(4) = 4^4 - 27[/tex]

[tex]\sf p(4) = 256 - 27[/tex]

[tex]\sf p(4) = 229[/tex]

Answer:

229

Step-by-step explanation:

Here we are given a polynomial p(x) and we need to find the remainder when it is divided by (x-4) . As we know that if a polynomial, say [tex]g(x)[/tex] is divided by [tex]x-a[/tex] then the remainder is [tex]g(a)[/tex] .

Firstly equate [tex] x -4[/tex] with 0 , we have;

[tex]\longrightarrow x -4=0\\[/tex]

[tex]\longrightarrow x =0+4\\ [/tex]

[tex]\longrightarrow x = 4 [/tex]

Now substitute [tex] x =4[/tex] in [tex]p(x)[/tex] ,

[tex]\longrightarrow p(x)= x^4-27\\[/tex]

[tex]\longrightarrow p(4)= (4)^4-27\\[/tex]

[tex]\longrightarrow p(4) = 256 - 27 \\[/tex]

[tex]\longrightarrow \underline{\underline{\boldsymbol{ p(4) = 229}}}[/tex]

Hence the remainder is 229 .

Answer:

Step-by-step explanation:

The number of minivans is not really important for this question. You need only two numbers

Total vehicles = 545

Convertibles   = 106

Equation

% convertibles = (# convertibles / Total)  * 100%

Solution

% convertibles = (106 / 545) * 100%

% convertibles = 19.44%

Answer: 19  percent are convertibles.

Answer:

19%

Step-by-step explanation:

Number of convertibles = 106.

[tex]Percentage = \dfrac{number \ of \ convertible}{Total cars}*100\\\\[/tex]

                  [tex]= \dfrac{106}{545}*100\\\\\\= 19.44[/tex]

                  = 19%

So, we must find the sum of this arithmetic sequence -1,2,5,8,11,14,17

using the arithmetic sequence formula and Sum of an Arithmetic Sequence formula such that an =

a1 + d(n-1)...........where a1 = -1 and a2 = 2.

We can use this information to find the common sum ratio 'd' such that,a2 = a1 + d(2-1)2 = -1 + d(1)...........Then add 1 to both sides to get 3

= We do not need d to find the sum but i decided to show you how to find 'd' in case you needed to find the nth term.

The Sum Formula yields,Sn = n(a1 + a7) / 2,

where n is the number if terms which is 7 in this case, right ?

Then we plug in the first and seventh terms for a1 and a7 such that=

S(7)=

(7)(-1+17) / 2 = (7)(16/2) = (7)(8) = 56

I hope this helped!

Aliyyah.

Problem 2

Why not? Well it's because the angles do not match up perfectly.

The triangle on the left is a 30-60-90 triangle; while the triangle on the right is a 40-50-90 triangle. The numbers mentioned are the angle values.

Only the "90"s match up, but everything else does not. We need to have three pairs of congruent angles to be able to use the angle angle (AA) similarity theorem.

Answer: 254.34 yd

Step-by-step explanation:

If the diameter is 18 yd then the radius:

radius = diameter/2

r = 18/2

r = 9 yd

So the area is:

[tex]A = \pi r^2\\= \pi (9)^2\\= (3.14)(81)\\ =254.34 \hspace2yd[/tex]

Therefore, the area of the circle is 254.34 yd

Answer:  Series diverges to infinity

========================================================

Explanation:

The leading terms of the numerator and denominator are 5n^5 and 4n^5 respectively. They divide to 5/4. The n^5 portions cancel.

As n approaches infinity, the nth term of the sequence is going to approach 5/4 = 1.25 which is larger than 1.

Adding stuff to a series that's larger than 1, and doing so infinitely many times, means that the partial sums explode to infinity. The partial sums do not approach a finite value. Therefore, this series diverges to infinity.

Answer:

0.94$

Step-by-step explanation:

Answer:

0.9435

Step-by-step explanation:

7.5/100 × 12.58 = 0.9435

Answer:

$820.00

Step-by-step explanation:

x = price yesterday (initital price)

If it is 67% off, then the price is 33% of the initial.

x(.33) = 270.60

divide .37 on both sides

x = 820.00

The price of the suit yesterday is $820.00.

Explanation:

We can make use of the symmetry of the problem and properties of similar triangles.

Here's a "paragraph proof."

Draw line OP perpendicular to chord MN, such that P lies on line MB. Let the point of intersection of OP with chord MN be designated point Q. Line OP bisects angle MON, so has measure y/2.

Triangles OPM and MPQ are similar (by AA similarity; both right triangles contain angle OPM), so angle QMP ≅ angle MOP. As we observed above, angle MOP has measure y/2, so angle QMP has measure y/2.

Angle BMN is another name for angle QMP, so it has measure y/2.

__

Additional comments

By the HL congruence postulate, the perpendicular bisector of chord MN divides triangle MON into two congruent right triangles. (OM≅ON, MQ≅NQ). That means ∠MOQ≅∠NOQ, so OQ bisects angle MON, as we say above.

__

Another way to come to the desired conclusion is to recognize that for any point X on long arc MN, angle MXN will have measure y/2. (inscribed angle theorem) This remains true in the limit as X approaches M. As X approaches M, secant XM approaches tangent line MB. So, in the limit, angle BMN is y/2.

Answer:

Step-by-step explanation:

square feet (8800) = length x width (110)

So, solve for L: 8800 = 110L

Divide both sides by 110 to get

length (depth) = 80 feet

Answer:

80 feet

Step-by-step explanation:

i took the quiz and got it right

Answer:

10

Step-by-step explanation:

(5+x=15)☞︎︎︎(Equation)

5-5+x=15-5

X=10

Answer:

She sold $1800 worth.

Step-by-step explanation:

290-200=90

90 x 20 because 100÷5=20

90 x 20 = 1800

$1800

Answer:

55

Step-by-step explanation:

55+15=70 and u could also say 15 from 70 =55

Answer:

the answer is 120

Step-by-step explanation:

you just have to add them all together

Answer:

What's the fraction

Step-by-step explanation:

I need to know the fraction in order to solve

Answer:

8

I really hope this helped! :D

Step-by-step explanation:

X squared is equal to 64.

That also means X is the square root of 64.

8*8=64

8 Is the square root of 64, meaning it's also X.

Remember, when you square a number, you multiply it to itself.

8^2= 8*8

4^2=4*4

2^2= 2*2

So on, so forth.

answer is tan 7 a 4 a tan4a

Answer:

I'd say On average, about 50% of students prefer elther extra cheese or pepperoni and On average, 1/4 of students prefer pineapple.

Also i tried my hardest to read the picture you took, so im assuming that the pineapple statement is 1/4 correct me if i'm wrong

Answer:

B

Step-by-step explanation:

3x + 7y = - 49 → (1)

10x - 7y = - 42 → (2)

adding (1) and (2) term by term will eliminate y

13x + 0 = - 91

13x = - 91 ( divide both sides by 13 )

x = - 7

substitute x = - 7 into either of the 2 equations and solve for y

substituting into (1)

3(- 7) + 7y = - 49

- 21 + 7y = - 49 ( add 21 to both sides )

7y = - 28 ( divide both sides by 7 )

y = - 4

solution is (- 7, - 4 ) → B

Answer:

x = - 16

Step-by-step explanation:

Value of RHS is not given. If it's 0, then,

x + 4² = 0

x = 0 - 4²

x = 0 - 16

x = - 16

_______

Hope it helps ⚜

Answer:

x = -16

Step-by-step explanation:

=> x = ?

=> x + 4² = ?

=> x + 16 = ?

=> x = -16

Answer:

x=3

Step-by-step explanation:

Check the picture

Answer:

Step-by-step explanation:

which is likely to have a mass close to 3 kilograms?

a. a 5- year old child

b. a bowling ball

c. a lemon

d. an adult lion

A kilogram weighs just over 2 pounds. It weighs 2.2 pounds. That's 2 point 2 pounds.

Multiply 3 times 2 point 2.

bowling ball is right. Some weigh 6 or 7 pounds.