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V125BC [204]
3 years ago
10

Darnell's car used 8 gallons of gasoline to travel 340 miles. after a mechanic worked on the car, it used 7 gallons of gasoline

to travel 350 miles. If the price of the gasoline was approximately $4.00 per gallon, how much lest to the nearst cwnt per mile, did it cost to run the car after the mechanic worked on it?
Mathematics
1 answer:
Inga [223]3 years ago
8 0
It cost $1.88 less to run the car
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Find the image of NPQ under the translation of (x, y) + (x + 8, y + 1).
nirvana33 [79]

Answer:

Triangle KLM

Step-by-step explanation:

Firstly, we need to write the coordinates of triangle NPQ

We have this as;

(-7,-6) for N

(-4,-3) for P

(-4,-6) for Q

Now, we are going to use the given translation formula;

(x + 8, y + 1)

N’ will be (-7+ 8, -6 + 1) = (1,-5)

P’ will be (-4+ 8, -3+1) = (4,-2)

Q’ will be (-4+ 8, -6+1) = (4,-5)

Now, we need to find the triangle with the exact given transformation coordinates calculated above;

We have the triangle as;

KLM

With K as (1,-5) ; L as (4,-2) and ; M as (4,-5)

5 0
3 years ago
Alex is 12 years older than George. Carl is Three times older than Alex The sum of their ages is 68 Find the ratio of George’s a
earnstyle [38]

Ratio of George’s age to Carl’s age to Alex’s age is 1 : 12 : 4

<em><u>Solution:</u></em>

Let "a" be the age of Alex

Let "g" be the age of George

Let "c" be the age of Carl

<em><u>Alex is 12 years older than George</u></em>

Therefore,

Age of Alex = 12 + Age of George

a = 12 + g

g = a - 12 ---- eqn 1

<em><u>Carl is Three times older than Alex</u></em>

Age of Carl = 3 x Age of Alex

c = 3a -------- eqn 2

<em><u>The sum of their ages is 68</u></em>

age of Alex + age of George + age of Carl = 68

a + g + c = 68 ----------- eqn 3

<em><u>Substitute eqn 1 and eqn 2 in eqn 3</u></em>

a + a - 12 + 3a = 68

5a - 12 = 68

5a = 12 + 68

5a = 80

a = 16

<em><u>Substitute a = 16 in eqn 2</u></em>

c = 3(16) = 48

c = 48

<em><u>Substitute a = 16 in eqn 1</u></em>

g = 16 - 12 = 4

g = 4

<em><u>Find the ratio of George’s age to Carl’s age to Alex’s age</u></em>

Ratio of George’s age to Carl’s age to Alex’s age = g : c : a

g : c : a = 4 : 48 : 16

Divide the above ratio by 4 to reduce to lowest terms

g : c : a - 1 : 12 : 4

Thus ratio of George’s age to Carl’s age to Alex’s age is 1 : 12 : 4

6 0
4 years ago
Solve the equation: <br> 8y - 3 = бу + 17
balandron [24]

Hey!

------------------------------------------------

Steps To Solve:

8y - 3 = бу + 17

~Subtract 8y to both sides

8y - 3 - 8y = бу + 17 - 8y

~Simplify

-3 = -2y + 17

~Subtract 17 to both sides

-3 - 17 = -2y + 17 - 17

~Simplify

-20 = -2y

~Divide -2 to both sides

-20/-2 = -2y/-2

~Simplify

10 = y

------------------------------------------------

Hence, the answer is \Large\boxed{\mathsf{y~=~10}}

------------------------------------------------

Hope This Helped! Good Luck!

3 0
3 years ago
Read 2 more answers
let y =2t+5 be a linear function representing the distance from home for an ant t minutes after starting out from a location nea
Akimi4 [234]

Answer: T=1/2 Y + -5/2

Step-by-step explanation:

y=2t+5

2t+5 +-5= y +-5

2t=y-5 2t/2=y-5/2

t=1/2y+-5/2

= t=1/2y + -5/2

7 0
3 years ago
Read 2 more answers
Ryan deposited $100 into his bank account. Later he withdrew $75 from the account. Write an expression that represents the chang
Novay_Z [31]

hello again!

so this is the answer!

100 - 75 = 25

So he starts off with 100 dollars and takes away 75, leaving him with 25

i hope this helped

6 0
3 years ago
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