Brian will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of $44 and costs an additional $0.10 per mile driven. The second plan has an initial fee of $49 and costs an additional $0.08 per mile driven.
For what amount of driving do the two plans cost the same? _ miles
What is the cost when two plans cost the same? $_

Answer: 9.4 ounces.

Step-by-step explanation:

There are 16 ounces in a pound. We are given the going rate of $8/pound which we can convert into $8/16 ounces. This can be simplified by dividing both sides by 8, which gives us the rate of $1/2 ounces. We now apply this ratio to the amount of money we have, 4 dollars and 70 cents. The 4 dollars translates into 8 ounces via the ratio. For the 70 cents, we can again change the ratio to 10 cents / 0.2 ounces (divide both sides by 10 - $1 is equal to 100 cents). This would mean that we could buy 0.2*7 ounces with the 70 cents, which equals 1.4 ounces. We add the 8 ounces from the 4 dollars and the 1.4 from the 70 cents to get 9.4 ounces.

Answer:

Step-by-step explanation:

As,

[tex] {2}^{15} [/tex]

Meaning that 2 multiplied 15 times here,

Equals 32 768

Now,

[tex] {2}^{14} [/tex]

Meaning that 2 multiplied 15 times then divided by one time 2,

Equals 32 768 ÷ 2 = 16384 (Ans)

Answer:

mid point is (1, 8)

Step-by-step explanation:

[tex]{ \bf{midpoint = ( \frac{x_{1} + x _{2} }{2} , \: \frac{y _{1} + y _{2} }{2} ) }}[/tex]

x1 is 2

x2 is 0

y1 is 8

y2 is 8

[tex] = ( \frac{2 + 0}{2} , \: \frac{8 + 8}{2} ) \\ \\ = ( \frac{2}{2} , \: \frac{16}{2} ) \\ \\ = (1, \: 8)[/tex]

(6x - 5y + 4) dy + (y - 2x - 1) dx = 0

(6x - 5y + 4) dy = (2x - y + 1) dx

dy/dx = (2x - y + 1) / (6x - 5y + 4)

Let X = x - a and Y = y - b. We want to find constants a and b such that

dY/dX = (a rational function)

where the numerator and denominator on the right side are free of constant terms. Substituting x and y in the equation, we have

dY/dX = (2 (X + a) - (Y + b) + 1) / (6 (X + a) - 5 (Y + b) + 4)

dY/dX = (2X - Y + 2a - b + 1) / (6X - 5Y + 6a - 5b + 4)

Then we solve for a and b in the system,

2a - b + 1 = 0

6a - 5b + 4 = 0

==>   a = -1/4 and b = 1/2

With these constants, the equation reduces to

dY/dX = (2X - Y) / (6X - 5Y)

Now substitute Y = VX and dY/dX = X dV/dX + V :

X dV/dX + V = (2X - VX) / (6X - 5VX)

The equation becomes separable after some simplification:

X dV/dX + V = (2 - V) / (6 - 5V)

X dV/dX = (2 - V) / (6 - 5V) - V

X dV/dX = (2 - V - (6 - 5V)) / (6 - 5V)

X dV/dX = (4V - 4) / (6 - 5V)

- (5V - 6) / (4V - 4) dV = 1/X dX

Integrate both sides:

-5/4 V + 1/4 ln|4V - 4| = ln|X| + C

Extract a constant from the logarithm on the left:

-5/4 V + 1/4 (ln(4) + ln|V - 1|) = ln|X| + C

-5/4 V + 1/4 ln|V - 1| = ln|X| + C

-5V + ln|V - 1| = 4 ln|X| + C

Get this back in terms of Y :

-5Y/X + ln|Y/X - 1| = 4 ln|X| + C

Now get the solution in terms of y and x :

-5 (y - 1/2)/(x + 1/4) + ln|(y - 1/2)/(x + 1/4) - 1| = 4 ln|x + 1/4| + C

With some manipulation of constants and logarithms, and a bit of algebra, we can rewrite this solution as

-5 (4y - 2)/(4x + 1) + ln|(4y - 4x - 3)/(4x + 1)| = 4 ln|x + 1/4| + 4 ln(4) + C

-5 (4y - 2)/(4x + 1) + ln|(4y - 4x - 3)/(4x + 1)| = 4 ln|4x + 1| + C

-5 (4y - 2)/(4x + 1) + ln|4y - 4x - 3| - ln|4x + 1| = 4 ln|4x + 1| + C

-5 (4y - 2)/(4x + 1) + ln|4y - 4x - 3| = 5 ln|4x + 1| + C

Step-by-step explanation:

First, let y coeffecinet be 1, since y coefficient is -4 we divide both sides by -4

[tex] - \frac{3}{4} x + y = - 2[/tex]

Add 3/4 to both sides

[tex]y = \frac{3}{4} x - 2[/tex]

Answer:

Positive integers have values greater than zero.

Negative integers have values less than zero.

Zero is neither positive nor negative.

Step-by-step explanation:

Answer: if they have got - before them or if the say negative

Step-by-step explanation:

Answer:

4/13 very identifies what Jaxson did wrong.

Step-by-step explanation:

The addition of the whole number part of the fraction was well done that is (8+7)

What Jaxson did wrong in his work was the addition of the fractions (⅗+⅛). They have different denominators and thus can't be added straightforwardly. the denominator has to be a common value.

Answer:

96

Step-by-step explanation:

The mean number of 5 nights is 90. It means that the quantity of guests who came these nights is 90*5=450

The mean number of the six nights is 91. So the quantity of guests is 6*91=546

546-450= 96- the quantity of guests that came on the extra night

Answer:

3 tenths +4 tenths: 7 tenths

Step-by-step explanation:

2+1 :3

so

3+4:7

Answer:

You need to bring the function to the standard form.

The term with highest degree exponent is the leading term and its coefficient is the leading coefficient.

Let it be axⁿ.

Depending on the n and a, the end behavior of the function will change.

This is an odd function and:

This is an odd function and:

This is an even function and:

This is an even function and:

Answer:

Yeah your right

Step-by-step explanation:

9514 1404 393

Answer:

  3 feet

Step-by-step explanation:

The equation with all the parameters filled in is ...

  f(t) = -16t² +8t +2

The maximum height occurs at the vertex of the function, which can be written in vertex form as ...

  f(t) = -16(t² -1/2t) +2

  f(t) = -16(t² -1/2t +1/16) +2 +16(1/16)

  f(t) = -16(x -1/4)² +3

The vertex of the graph is (1/4, 3), so the maximum height is 3 feet.

Answer:

Equivalent expression is (x - 4)(x - 3)

Step-by-step explanation:

[tex] {2x}^{2} - 14x + 24[/tex]

find the factors:

[tex] = (x - 4)(x - 3)[/tex]

(2x-12)(x-2)

after multiplying you'll get the same

Answer:

6

Step-by-step explanation:

1/2 of 12

1/2×12

6

i hope this will help

Answer:

26659

Step-by-step explanation:

subtracting the recent meter and the last time meter

Answer:

All are rational.

Step-by-step explanation:

1)

=1/3/3/5

=1/3×5/3

=5/9

5/9 is non-terminating and recurring number so it is rational.

2)

4/3√9/5

=4/3*3/5

=4/5

4/5 is a terminating number it is rational.

3)

2*√16/√4

=2*4/2

=4

4 is a natural/whole number it is also rational.

Note:if you need to ask any questions please let me know.

Answer:

dccxxydffffyyyrtttttttyhg

Answer:

a one is right answer

Step-by-step explanation:

h.j.j.k kaoa0

Answer:

2000

Step-by-step explanation:

Answer:

640 feet

Step-by-step explanation:

8 = 320

16 = 640

Answer:

640

Step-by-step explanation:

8-->16

320-->640

Answer:

27 car transporter

Step-by-step explanation:

Number of cars a car transporter can carry= 13

Number of cars there=340

number of transporters needed= 340÷13

= 27

Answer:

given

n=9

a=1

d=3-1=2

Step-by-step explanation:

now , by formula,

sn = n/2(2a+(n-1)d)

= 9/2(2×1+(9-1)×2)

=9/2×18

=81

Answer:

[tex]y=\frac{1}{3} x+7.[/tex]

Step-by-step explanation:

all the detail are in the attached picture, here is the short explanation step-by-step:

1) to select the values of slope and interception from the given equation;

2) using the rule of parallel lines to find the slope of the required line;

3) to write the required equation (the value of slope is known, the value of interception is inknown);

4) to calculate the unknown value of interception of the required equation after the substitution the coordinates of the point in the condition;

5) to make up the required equation using calculated slope and interception.

Answer:

the number of pink would be 112 because 224 divided by 2 is 112 then the red and white are 56 cuz 112 divided by 2 is 56

Step-by-step explanation:

Step-by-step explanation:

we can also write them as,

Now, from -a²-2ab-b² if we take - as common term then we get,

Now, by using the concept of a²+2ab+b²=(a+b)²

I hope it helped U

stay safe stay happy

Answer:

a^(m-n)

Step-by-step explanation:

We have

a^m / a^n

Exponent rules state that

a^m / a^n = a^(m-n)

Answer:

x=4/5 ,x=-4/5

Step-by-step explanation:

Equation:

x²-16/25=0

x²=16/25

x=+-√16/25

x=+-4/5

Note:if you need to ask any question please let me know.

[tex]\boxed{\sf \displaystyle{\lim_{x\to a}}(x^n)=a^n}[/tex]

[tex]\\ \sf\longmapsto \displaystyle{\lim_{x\to \infty}}(\sqrt{3x}-\sqrt{x-5})[/tex]

[tex]\\ \sf\longmapsto \displaystyle{\lim_{x\to \infty}}\sqrt{3x}-\displaystyle{\lim_{x\to \infty}}\sqrt{x-5}[/tex]

[tex]\\ \sf\longmapsto \infty^{\dfrac{1}{2}}-\sqrt{\infty-5}[/tex]

[tex]\\ \sf\longmapsto \infty-\sqrt{\infty}[/tex]

[tex]\\ \sf\longmapsto\infty-\infty[/tex]

[tex]\\ \sf\longmapsto\infty[/tex]

[tex] \large \mathfrak{Solution : }[/tex]