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
-BARSIC- [3]
3 years ago
10

Cesar is planning a 4-day trip to visit his friend at a college in another state. It will cost him $198 for airfare, $56 for loc

al transportation, and $45 per day for food. He has $189 in savings and can earn $35 for each lawn he mows. How many lawns must he mow to have enough money to pay for the trip?
Please explain the answer. Knowing just the answer doesn't help me learn anything.


I appreciate all help!
Mathematics
2 answers:
Shtirlitz [24]3 years ago
7 0

Answer:

7 lawns

Step-by-step explanation:

Let us do this. replace l with lawns mowed and replace day with 4 since the trip is a 4-day trip.

What is 198 + 56?

254.

35l + 189 must be equal to or more than 45(4) + 254.

(45 x 4) + 254 = 180 + 254 = 434

434 - 189 = 245

35l = 245

35/35 = 245/35

l = 7

He has to mow 7 lawns.

garri49 [273]3 years ago
4 0

Answer:

7 lawns

Step-by-step explanation:

Given:

  • Airfare = $198
  • Transportation = $56
  • Food = $45 per day
  • Length of trip = 4 days

⇒ Total cost of trip = airfare + transportation + 4 x food

                                = 198 + 56 + (4 x 45)

                                = $434

Given:

  • Savings = $189

⇒ Amount to make from mowing lawns = total cost of trip - savings

                                                                  = 434 - 189

                                                                  = $245

Therefore, he needs to make $245 from mowing lawns to have enough money to pay for the trip.

Given:

  • Amount earned per lawn mowed = $35

⇒ number of lawns = amount needed ÷ amount earned per lawn

                                = 245 ÷ 35

                                = 7

So he needs to mow 7 lawns to have enough money to pay for the trip.

You might be interested in
A soup can has a diameter of 8 centimeters and a height of 15 centimeters how much soup does the can hold?
Ivan

Answer:

V = 240 pi

Step-by-step explanation:

We want the volume of a cylinder

V = pi r^2 h

We have the diameter and want the radius

r = d/2 = 8/2 = 4

V = pi ( 4)^2 * 15

V = pi * 16* 15

V = 240 pi

Let pi = 3.14

V =753.6 cm^3

Let pi be the pi button

V =753.9822369 cm^3

8 0
3 years ago
Read 2 more answers
If nico spends $5.76 on tomatoes,how many pounds did he purchase?
tia_tia [17]

The amount of in pound of tomatoes purchased is \frac{5.76}{p}

To obtain the number of pounds of tomatoes purchased :

  • Let the price per pound of tomato = p

The Number of tomatoes purchased equals :

  • Total amount spent ÷ price per pound

Therefore, the Number of tomatoes purchased will be :

  • 5.76 ÷ p

The Number of pounds of tomatoes purchased = \frac{5.76}{p}

Learn more :brainly.com/question/18109354

4 0
3 years ago
A pen company averages 1.2 defective pens per carton produced (200 pens). The number of defects per carton is Poisson distribute
nlexa [21]

Answer:

a. P(x = 0 | λ = 1.2) = 0.301

b. P(x ≥ 8 | λ = 1.2) = 0.000

c. P(x > 5 | λ = 1.2) = 0.002

Step-by-step explanation:

If the number of defects per carton is Poisson distributed, with parameter 1.2 pens/carton, we can model the probability of k defects as:

P(k)=\frac{\lambda^{k}e^{-\lambda}}{k!}= \frac{1.2^{k}\cdot e^{-1.2}}{k!}

a. What is the probability of selecting a carton and finding no defective pens?

This happens for k=0, so the probability is:

P(0)=\frac{1.2^{0}\cdot e^{-1.2}}{0!}=e^{-1.2}=0.301

b. What is the probability of finding eight or more defective pens in a carton?

This can be calculated as one minus the probablity of having 7 or less defective pens.

P(k\geq8)=1-P(k

P(0)=1.2^{0} \cdot e^{-1.2}/0!=1*0.3012/1=0.301\\\\P(1)=1.2^{1} \cdot e^{-1.2}/1!=1*0.3012/1=0.361\\\\P(2)=1.2^{2} \cdot e^{-1.2}/2!=1*0.3012/2=0.217\\\\P(3)=1.2^{3} \cdot e^{-1.2}/3!=2*0.3012/6=0.087\\\\P(4)=1.2^{4} \cdot e^{-1.2}/4!=2*0.3012/24=0.026\\\\P(5)=1.2^{5} \cdot e^{-1.2}/5!=2*0.3012/120=0.006\\\\P(6)=1.2^{6} \cdot e^{-1.2}/6!=3*0.3012/720=0.001\\\\P(7)=1.2^{7} \cdot e^{-1.2}/7!=4*0.3012/5040=0\\\\

P(k

c. Suppose a purchaser of these pens will quit buying from the company if a carton contains more than five defective pens. What is the probability that a carton contains more than five defective pens?

We can calculate this as we did the previous question, but for k=5.

P(k>5)=1-P(k\leq5)=1-\sum_{k=0}^5P(k)\\\\P(k>5)=1-(0.301+0.361+0.217+0.087+0.026+0.006)\\\\P(k>5)=1-0.998=0.002

5 0
3 years ago
A telephone pole has a wire to its top that is anchored to the ground. The distance from the bottom of the pole to the anchor po
Bumek [7]

Answer:

The height of the pole is 105ft,

Step-by-step explanation:

Let us call h the height of the pole, then we know that the distance from the bottom of the pole to the anchor point is 49, or it is h - 49.

The wire length d is 14 ft longer than height h, hence

d= h+14.

Thus we get a right triangle with hypotenuse d= y+14, perpendicular  h, and base h-49; therefore, the Pythagorean theorem gives

(h-49)^2+h^2 = (h+14)^2

which upon expanding we get:

h^2-98h+2401 = h^2+28h+196

further simplification gives

h^2-126h+2205=0,

which is a quadratic equation with solutions

h =21ft\\h = 105ft.

Since the first solution h =21ft will give the triangle base length of 21ft-49ft = -28ft which is negative; therefore, we disregard it and pick the solution h = 105ft.

Hence, the height of the pole is 105ft.

3 0
3 years ago
Which diagram shows the correct electron configuration for fluorine (F)?
daser333 [38]

Answer:

it is the first one i think

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Other questions:
  • A sports store near Big Bear Lake is having a 20% off sale on all water skis. What will the sale price be for water skis which r
    15·1 answer
  • Here is the question: Alicia wrote numbers:2,9,15,21 what of the numbers is not a composite number?
    7·2 answers
  • A cylindrical pool has a diameter of 20 feet and a height of 15 feet.What is the total amount of water that this pool can hold w
    8·1 answer
  • I Need Assistance With These
    8·2 answers
  • The sum of two integers is 63 and their difference is 7. Find the integers.
    12·1 answer
  • How to solve the x and y axis of 2f(x-5)
    10·1 answer
  • Mr. Martin’s math test, which is worth 100 points, has 35 problems. Each problem is worth either 5 points or 2 points. Let x = t
    5·2 answers
  • LOOK IF YOU DONT KNOW HOW TO PARAPHRASE JUST USE THIS WEBSITE AND TEACHERS NEVER NOTICE BOOK MARK IT IT WILL HELP YOU
    12·1 answer
  • PLEASE HELPP!!
    11·1 answer
  • Which of these numbers has the greatest absolute value? 1,5,-3,-9
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!