answer.
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
ElenaW [278]
2 years ago
7

Ernie earned $121.50 more than Kaylin. Tria earned $35 less than 3 times the amount Kaylin earned. Ernie, Tria, and Kaylin earne

d $579 in all. How much did Tria earn?
Mathematics
2 answers:
Dvinal [7]2 years ago
8 0
X - Ernie, y - Kaylin, z - Tria
x = y + 121.50
z = 3y - 35
x + y + z = 579
-------------------------
z = 3 y - 35      =>   - 3 y + z = -35
y + 121.50 + y + z = 579
---------------------------------
- 3 y + z = - 35        / · ( -1 )
 2 y + z = 457.50     (we will use the elimination method) 
---------------------------------
3 y - z = 35
2 y + z = 457.50
----------------------
5 y = 492.5,            y = 492.5 : 5 = 98.5
z = 3 · 98.5 - 35
z = 260.5
Tria earned $260.5 
jarptica [38.1K]2 years ago
8 0

Answer:

earned 260.5

Step-by-step explanation:

You might be interested in
- Maya and Fiona have a total of $16.
Bingel [31]

Answer:

Maya has 3 dollars and Fiona has 13

Step-by-step explanation

4 0
2 years ago
In the United States, 75 percent of adults wear glasses or contact lenses. A random sample of 10 adults in the United States wil
V125BC [204]

Answer:

0.4745 is the probability that fewer than 8 of the selected adults wear glasses or contact lenses.

Step-by-step explanation:

We are given the following information:

We treat adult adults wear glasses or contact lenses as a success.

P(Adults wear glasses or contact lenses) = 75% = 0.75

Then the number of adults follows a binomial distribution, where

P(X=x) = \binom{n}{x}.p^x.(1-p)^{n-x}

where n is the total number of observations, x is the number of success, p is the probability of success.

Now, we are given n = 10

We have to evaluate:

P(fewer than 8 of the selected adults wear glasses or contact lenses)

P(x < 8)\\=1 - P(x = 8) - P(x = 9) - P(x = 10)\\=1 - \binom{10}{8}(0.75)^8(1-0.75)^2 - \binom{10}{9}(0.75)^9(1-0.75)^1- \binom{10}{10}(0.75)^10(1-0.75)^0\\=1 - 0.2815-0.1877-0.0563\\= 0.4745

0.4745 is the probability that fewer than 8 of the selected adults wear glasses or contact lenses.

4 0
2 years ago
Four pounds of bananas cost $1.96. how much does it cost per pound?
adelina 88 [10]
4 pounds = $1.96
1.96 / 4 = $0.49 
4 0
2 years ago
A thumbtack that is tossed can land point up or point down. The probability of a tack landing point up is 0.2. A simulation was
sweet-ann [11.9K]

Answer:

Option C: 0.28

Step-by-step explanation:

This is a binomial probability distribution problem.

Now, we want to find the probability that at least 2 thumbtacks land pointing up when 5 thumbtacks are tossed. This is written as;

P(X ≥ 2) = P(2) + P(3) + P(4) + P(5)

From the histogram;

P(5) = 0.02

P(4) = 0.02

P(3) = 0.05

P(2) = 0.19

Thus;

P(X ≥ 2) = 0.19 + 0.05 + 0.02 + 0.02

P(X ≥ 2) = 0.28

8 0
2 years ago
Read 2 more answers
In a family there are five sons. The oldest son is 11 3/4 years old, and every next younger brother is younger than the next by
timama [110]

Answer:

the youngest brother is of 2 years and 5 months

if this rule still applies, the next son will be born in 2 months.

Step-by-step explanation:

Given that:

Oldest son= 11 3/4 years old = 11 years 3/4 (12) months = 11 years 9 months

Difference = 2 years 7/12(12) months = 2 years 7 moths

So for finding the age of youngest brother:

Subtract the difference others from age of oldest:

= 11 years 9 months - 4(2 years 7 months)

= 11 years 9 months - 9 years 4 months

=  2 years 5 months

So the youngest brother is of 2 years and 5 months

if this rule still applies, the next son will be born in 2 months.

i hope it will help you!

5 0
2 years ago
Read 2 more answers
Other questions:
  • if Amanda hikes at an average speed of 2.72 miles per hour, how long will it take her to hike 6.8 miles
    11·2 answers
  • Estimate the unit rate if 12 pairs of socks sell for $5.79.
    15·1 answer
  • The probability that a radish seed will germinate is 0.7. a gardener plants seeds in batches of 11. find the standard deviation
    14·1 answer
  • Jenny is holding a fraction tile labeled 1/3. How many 1/3- fraction tiles are needed to equal the fraction tile labeled 1
    14·1 answer
  • Based on a random sample of 25 units of product X, the average weight is 104 lbs. and the sample standard deviation is 10 lbs. W
    11·1 answer
  • Express as a sum: 4.5–8.3–2<br> i will give you brianily if you get it rite
    11·2 answers
  • Dorothy Wagner is currently selling 80 "I ♥ Calculus" T-shirts per day, but sales are dropping at a rate of 2 per day. She is cu
    10·1 answer
  • A normal distribution curve, where x = 70 and σ = 15, was created by a teacher using her students’ grades. What information abou
    6·2 answers
  • A new car is purchased for 22400 dollars. The value of the car depreciates at 11% per year. To the nearest tenth of a year , how
    7·1 answer
  • At a football game, 69 out of 92 students were wearing the color red to support the home team. What percent of the students were
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!