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
Alex777 [14]
3 years ago
11

Mark spent a total of $16.35 to buy a total of 11 bags of carrots and bags of tomatoes. Each bag of carrots costs $1.05, and eac

h bag of tomatoes costs $1.65. How many bags of carrots and how many bags of tomatoes did he buy? Enter your answers in the boxes below. (Use x for carrots and y for tomatoes.)
Mathematics
1 answer:
elena-s [515]3 years ago
5 0

Answer:

x= 12

Step-by-step explanation:

You might be interested in
Sarah bought a shirt on sale for $35. The original price of the shirt was three times that amount Sarah also bought a pair of sh
Zolol [24]

Answer:

$245


Step-by-step explanation:

Orignal price for shirt was 105

Original price for shoe sizes was 140

105+140=245

4 0
3 years ago
A multiple-choice examination has 15 questions, each with five answers, only one of which is correct. Suppose that one of the st
Alex

Answer:

0.0111% probability that he answers at least 10 questions correctly

Step-by-step explanation:

For each question, there are only two outcomes. Either it is answered correctly, or it is not. The probability of a question being answered correctly is independent from other questions. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

A multiple-choice examination has 15 questions, each with five answers, only one of which is correct.

This means that n = 15, p = \frac{1}{5} = 0.2

What is the probability that he answers at least 10 questions correctly?

P(X \geq 10) = P(X = 10) + P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14) + P(X = 15)

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 10) = C_{15,10}.(0.2)^{10}.(0.8)^{5} = 0.0001

P(X = 11) = C_{15,11}.(0.2)^{11}.(0.8)^{4} = 0.000011

P(X = 12) = C_{15,12}.(0.2)^{12}.(0.8)^{3} \cong 0

P(X = 13) = C_{15,13}.(0.2)^{13}.(0.8)^{2} \cong 0

P(X = 14) = C_{15,14}.(0.2)^{14}.(0.8)^{1} \cong 0

P(X = 15) = C_{15,15}.(0.2)^{15}.(0.8)^{0} \cong 0

P(X \geq 10) = P(X = 10) + P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14) + P(X = 15) = 0.0001 + 0.000011 = 0.000111

0.0111% probability that he answers at least 10 questions correctly

3 0
3 years ago
A tank can be filled by one pump in 3.2 hours and by another pump in 80 minutes. A third pump can drain the tank in 2 hours and
Mademuasel [1]

Answer:

Rounding to the nearest minute, it would take 95 minutes, or 1 hour and 35 minutes.

Step-by-step explanation:

Let's convert each time to minutes:

3.2 hours = 192 minutes

80 minutes = 80 minutes

2 hr 20 min = 140 minutes

Next, let's find the least common multiple:

LCM(192, 80, 140) = 6720

So let's say the volume of the tank is 6720 units.  The speed of each pump is therefore:

Pump 1 = 6720 units / 192 minutes = 35 units/minute

Pump 2 = 6720 units / 80 minutes = 84 units/minute

Pump 3 = -6720 units / 140 minutes = -48 units/minute

Their combined speed is:

35 + 84 − 48 = 71 units/minute

So the time to fill the tank is:

6720 units / (71 units/minute) = 94.65 minutes

Rounding to the nearest minute, it would take 95 minutes, or 1 hour and 35 minutes.

6 0
3 years ago
3(0.7z+2.8)=7(1.5z+7.2)
AnnZ [28]

Answer:

z = -5

Step-by-step explanation:

3(0.7z + 2.8) = 7(1.5z + 7.2)

2.1z + 8.4 = 10.5z + 50.4

2.1z - 10.5z = 50.4 - 8.4

-8.4z = 42

z = 42/(-8.4)

z = -5

7 0
3 years ago
Nigel and Mia are searching for a treasure chest under water. The straight line distance between them is 100 meters.
Mariulka [41]

Answer:

I'm pretty sure its B.

Step-by-step explanation:

lame couldn't just answer smh

3 0
3 years ago
Read 2 more answers
Other questions:
  • Can someone help me with 1. And 2.
    11·1 answer
  • What is (4a)^2 without exponents?
    10·1 answer
  • Write write an exponential growth function for the following situation you are depositing $5,000 into a bank with an interest ra
    8·1 answer
  • What transformations preserve measure of side lengths and angles.
    11·1 answer
  • What is the factorization of the expression below?<br> 9x² - 49
    8·2 answers
  • GMMMMMMM
    5·2 answers
  • If 2x^2 - 5x + 7 is subtracted from 4x^2 + 2x - 11, what is the coefficient of x in the result
    12·2 answers
  • Calculate the volume of a cone with: 11cm height and 6cm radius
    13·2 answers
  • tyrone wants to fix six containers with 4/5 of a cup of lemonade how much lemonade will he need to make to fill six containers​
    11·1 answer
  • (20) The local sporting goods store sells footballs at the following rate. The 1 point sporting goods store also sells baseballs
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!