1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Sergio [31]
3 years ago
5

Two sisters drove 144 miles on a camping trip. They averaged at least 32 miles per gallon on the trip. Describe the number of ga

llons of gas they used.
Mathematics
2 answers:
guajiro [1.7K]3 years ago
5 0
<span>The answer should be 4.5 because they used AT LEAST 32 miles per gallon. So, 144/32=4.5 and since it's AT LEAST 32, 4.5 is the max amount used.</span>
vredina [299]3 years ago
3 0

For this case, the first thing we must do is define variables.

We have then:

n: number of gallons

d: distance traveled

r: distance rate per gallons

The equation that relates the variables is given by:

n = \frac{d}{r}

Substituting values we have:

n = \frac{144}{32}\\n = 4.5 gallons

Answer:

The number of gallons of gas they used is:

n = 4.5 gallons

You might be interested in
The spinner below is divided into five equal-sized sectors. What is the probability that the spinner will stop on a number great
madreJ [45]

Answer:

40%

Step-by-step explanation: If you have five equal-sized sectors, then the probability that the spinner will stop on 4 and 5 is 40%.

8 0
2 years ago
Bag of marbles has 5 blue marbles, 3 red marbles, and 6 yellow marbles. A marble is drawn from the bag at
TEA [102]

Answer:

there are 14 possible outcomes

Step-by-step explanation:

this is because there are 14 marbles in the bag

5 0
3 years ago
The real numbers $x$ and $y$ are such that \begin{align*} x + y &amp;= 4, \\ x^2 + y^2 &amp;= 22, \\ x^4 &amp;= y^4 - 176 \sqrt{
tamaranim1 [39]

You get everything you need from factoring the last expression:

x^4-y^4=-176\sqrt7

The left side is a difference of squares, and we get another difference of squares upon factoring. We end up with

x^4-y^4=(x^2-y^2)(x^2+y^2)=(x-y)(x+y)(x^2+y^2)

Plug in everything you know and solve for x-y:

-176\sqrt7=(x-y)\cdot4\cdot22\implies x-y=\boxed{-2\sqrt7}

4 0
3 years ago
Read 2 more answers
Tickets for a certain show cost ​$17​, ​$21​, ​or, for VIP​ seats, ​$40. If ten times as many ​$17 tickets were sold as VIP​ tic
lawyer [7]

Answer:

Tickets sold:

VIP =126

$17 tickets =1,260

$21 tickets =9\cdot 126+57=1,191

Step-by-step explanation:

Let x be the number of VIP tickets.  

If ten times as many ​$17 tickets were sold as VIP​ tickets, then the number of $17 tickets is 10x.

If the number of ​$17 tickets sold was 57 more than the sum of the number of ​$21 tickets and VIP​ tickets, then 10x+57=x+y and the number y of $21 tickets is 9x+57.

Amounts earned:

VIP tickets =\$40x

$17 tickets =\$17\cdot 10x=\$170x

$21 tickets =\$21\cdot (9x+57)=\$(189x+1,197)

Total =\$(40x+170x+189x+1,197)=\$(399x+1,197)

The sales of all three kinds of tickets would total ​$51,471, so

399x+1,197=51,471\\ \\399x=51,471-1,197\\ \\399x=50,274\\ \\x=126

Tickets sold:

VIP =126

$17 tickets =1,260

$21 tickets =9\cdot 126+57=1,191

8 0
3 years ago
The solution set for the equation x - 6x + 10 = 0 is
Oxana [17]

Answer:

{3-i, 3+ i}

Step-by-step explanation:

hello : the equation is :  x²-6x+10 =0

because : (3+i)²-6(3+i)+10 = 9+6i+i²-18-6i+10 =9+6i-1-18-6i+10 =0...right

same method for 3-i... (all quadratic equation have two conjugate solution)

8 0
3 years ago
Other questions:
  • Which is the ratio of the number of months that begin with the letter N to the total number of months in a year?
    5·2 answers
  • How to write .0000321 in scientific notation?
    8·1 answer
  • Use the power-reducing formulas as many times as possible to rewrite the expression in terms of the first power of the cosine. 2
    5·1 answer
  • Simplify the equation 5x + 4 = -16
    13·1 answer
  • it is 4 km from David's house to the nearest mailbox. How far is it in meters? Be sure to include the correct unit in your answe
    9·2 answers
  • PLEASE SOMEONE HELP ME ON 13-14 ITS DUE AT 2 PLEASE SOMEONE PLEASE IM STRESSING I AM STRESSING
    14·1 answer
  • Which relationship is not a function 10 POINTS
    10·1 answer
  • Helpp! Will give brainliest​
    6·1 answer
  • What is the meaning of the abbreviation...
    9·2 answers
  • A hiking trail rises 6 feet for every horizontal change of 100 feet. What is the slope of the hiking trail?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!