Philip is going on a 400 mile road trip with three friends. He can travel 18 miles for every gallon of gas used. Gas costs $3.59 per gallon. If Philip and his friends want to split the cost of gas evenly, how much should each person pay?

Answer:

The balance when the account went into overdraft was -38.02

Step-by-step explanation:

Let x be the balance when the account went into overdraft

To get back to a positive balance he deposited money at a steady rate of $20.06 per week.

Amount deposited per week = $20.06

Amount deposited 8 weeks = [tex]20.06 \times 8 =160.48[/tex]

Now amount in account after 8 weeks =x+160.48

We are given that After 8 weeks, he had $122.46 in the account.

So,x+160.48=122.46

x=122.46-160.48

x=-38.02

Hence The balance when the account went into overdraft was -38.02

Answer:

(7x7x7x7x7)(7x7x7x7x7)(7x7x7x7x7)

Step-by-step explanation:

Answer:

(7x7x7x7x7)(7x7x7x7x7)(7x7x7x7x7)

Step-by-step explanation:

it is the first option because you multiply the 5 by the 3 so it becomes 7 to the 15th power

Answer:

25, 34, 43

Step-by-step explanation:

its +9 per number

Answer:

m<y= 34

Step-by-step explanation...

6x-23=4x+9

2x=32

x=16

m<y+m<z=180

m<y=73+73=180

m<y=34

An isosceles triangle is a two-dimensional figure which has two equal sides and the two angles opposite to the equal sides are equal.

The sum of the three angles is equal to 180 degrees.

The value of angle m∠Y is 34°.

Option B is the correct answer.

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

Isosceles triangle:

Two sides are equal.

The angles opposite to the equal sides are also equal.

So,

From the figure we have,

6x - 23 = 4x + 9

Add 23 on both sides.

6x - 23 + 23 = 4x + 9 + 23

6x = 4x + 32

Subtract 4x on both sides.

6x - 4x = 4x + 32 - 4x

2x = 32

Divide both sides by 2.

x = 32/2

x = 16

The sum of the three angles of the Isosceles triangle given must be 180 degrees.

6x - 23 + 4x + 9 + m∠Y = 180

Put x = 16

6x16 - 23 + 4x16 + 9 + m∠Y = 180

96 - 23 + 64 + 9 + m∠Y = 180

146 + m∠Y = 180

Subtract 146 on both sides.

m∠Y = 180 - 146

m∠Y = 34

Thus,

The value of angle m∠Y is 34°.

Option B is the correct answer.

Learn more about triangles here:

https://brainly.com/question/25950519

#SPJ2

Answer: 0.5(cos 1.3x − cos 2.3 x)

Step-by-step explanation:

Hey there!

In trigonometry which relates the sides and angles of the triangle, there is an identity which states that,

                    (sinA) (sinB) = 0.5(cos (A − B) − cos (A + B) )

In this item, our A and B are 1.8x and 0.5x, respectively.  

Substituting,

                  sin(1.8x)sin(0.5x) = 0.5(cos (1.8x − 0.5x) - cos(1.8x + 0.5x))

                  sin(1.8x)sin(0.5x) = 0.5(cos 1.3x − cos 2.3 x)

~I hope I helped you! :)~

Answer:

It is C. 0.5(cos 1.3x − cos 2.3 x)

Step-by-step explanation:

I just took the test on PLATO

Answer:

17

Step-by-step explanation:

Answer:

the initial statement is

y

∝

x

to convert to an equation multiply by k the constant

of variation

⇒

y

=

k

x

to find k use the given condition

y

=

3

when

x

=

2

y

=

k

x

⇒

k

=

y

x

=

3

2

equation is

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

∣

∣

∣

2

2

y

=

3

2

x

2

2

∣

∣

∣

−−−−−−−−−−−−

when

x

=

8

then

y

=

3

2

1

×

8

4

=

3

×

4

=

12

Step-by-step explanation:

a

Step-by-step explanation:

Answer:

32x+540

Step-by-step explanation:

Answer:

32x + 540

Step-by-step explanation:

1. Solve the multiplication:

102x +204 - 70x + 336

2.Simplify

32x + 540

Answer:

X=5

Step-by-step explanation:

10=2x divided by 2 means x=5

Step-by-step explanation:

Coefficients before x and y should be equal to coefficients before x1 and y1 on every equation of lines that are parallel to the given line

General formula for them should be y-5x=b where b is every number we want.

So one of them could be y-5x=0 or y-5x=2 ...

Answer:

b

c

d

e

Step-by-step explanation:

Answer:x=2/3

Step-by-step explanation:

Answer:

Step-by-step explanation:

So, you wanna be a master?

Do you have the skills to be number 1?

(If not, I'll help you lol)

Okay, let's define what a circumference is.

Circumference - The entire outside of a circle, think of it as the "perimeter" of the circle, like how there is a perimeter for a triangle or square.

The equation for finding the circumference is as follows:

[tex]2\pi r[/tex]

r - the radius, or half-way line is a circle.

So, you see the number thats on a half way line in the circle? That is the radius. All you have to do is plug in that number into the equation (for r), and you get the answer.

#3

r = 15

[tex]2\pi (15) = 30\pi \\[/tex]

Now use a calculator and type in 30, then times it by pi (which is this symbol: [tex]\pi[/tex])

Circumference = 94.248

#4

r = 10

[tex]2\pi (10) = 20\pi \\[/tex]

Circumference = 62.832

Answer:

[tex]a_{n}[/tex] = 3 - n

Step-by-step explanation:

There is a common difference between consecutive terms in the sequence, that is

1 - 2 = 0 - 1 = - 1 - 0 = - 1

This indicates the sequence is arithmetic with n th term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 2 and d = - 1 , thus

[tex]a_{n}[/tex] = 2 - 1(n - 1) = 2 - n + 1 = 3 - n

Answer:y=x

Step-by-step explanation: 13-18=-5

15-20=-5

-5/-5=1 slope

Using point slope take the first point and that slope to find the slope intercept.

Y-18=1(x-20)

Y=x-2

Answer:

Angle BCD is 13 degrees

Step-by-step explanation:

Here, we want to find the measure of angle BCD

To get this, we need an appropriate diagram. The diagram can be seen in the attachment.

To find the value of BCD, we can use an important triangle theorem.

This is that the sum of opposite interior angles of a triangle equals the exterior angle.

Thus, we have that;

BCD + DBC = CDE

hence;

3x + 5 + 2x + 3 = 9x-12

5x + 8 = 9x -12

9x-5x = 8 + 12

4x = 20

x = 20/4

x = 5

So the measure of BCD will be 2(5) + 3 = 10 + 3 = 13

Answer:

13°

Step-by-step explanation:

just solved on delta math

Answer:

the value to be written is -2

Step-by-step explanation:

The first thing we will do here is to set the divisor equals to zero

The divisor is the denominator

Thus, we have x + 2 = 0

This indicates that x = -2

The term to be written in front of the coefficients is -2

Answer:

73.75

Step-by-step explanation:

comment and heart if this was helpful

Answer:

Answer:

f(x) = 5 + 2x

y+4x^2-1 is the same as y=-4x^2+1, then replace y with f(x); f(x)=-4x^2+1. After you do that, replace x with 2; f(2)=-4(2)^2+1. 2^2=4, 4 times -4=-16, -16+1=-15. So f(2)=-15.

Answer:

f(x) = 5 + 2x

Step-by-step explanation:

2y - 4x = 10

     +4x    +4x

2y = 10 + 4x

Now we have a new equation but we have to isolate the variable y.

[tex]\frac{2y}{2}[/tex]  = [tex]\frac{10 + 4x}{2}[/tex]  Then divide to solve for y.

y = 5 + 2x

Since f(x) is the same thing/equal to y we can just replace that.

f(x) = 5 + 2x

Hope that helps and have a great day!

Answer:

No

Step-by-step explanation:

-3 is supposed to be the answer for b so let's substitute -3 for b.

5(-3)+1=16

-15+1≠16

-15+1 is actually equal to -14

if the -3 would have been positive then it would be correct

Answer:

back where he started

Step-by-step explanation:

First he went up 30 feet.

Then he went -30 feet.

Meaning that he went up the went back down.

Which is basically 30-30

I think that should be right.

Step-by-step explanation:

what help do you need????

Answer:

i believe the answer is 569/115

Answer:

x=15 or 15=x hope this helps

28 is the LCM of 4 and 7 as 4*7 = 28

Answer:

The LCM of 4 and 7 would come out to 28.

Answer:

hope this helps

Answer:

A) x^2+25x+150

Step-by-step explanation:

Area = length x width

A = (x + 10) x (x + 15)

A = x^2 + 25x + 150

Answer:

I believe it is false. Have a great day and good luck! also super sorry if this answer ends up being wrong :/

Step-by-step explanation:

Answer:

B

hope this helps :D