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
barxatty [35]
3 years ago
11

Write one word problem involving simultaneous linear equations.

Mathematics
1 answer:
amm18123 years ago
7 0

Answer:

Andre has more money than Bob.  If Andre gave Bob $20, they would have the same amount.  While if Bob gave Andre $22, Andre would then have twice as much as Bob.  How much does each one actually have?

Step-by-step explanation:

Here is the first sentence:

"If Andre gave Bob $20, they would have the same amount."

Algebraically:

1)   x − 20 = y + 20.

(Andre -- x -- has the same amount as Bob, after he gives him $20.)

Here is the second sentence:

"While if Bob gave Andre $22, Andre would then have twice as much

as Bob."

Algebraically:

2)   x + 22 = 2(y − 22).

(Andre has twice as much as Bob -- after Bob gives him $22.)

To solve any system of two equations, we must reduce it to one equation in one of the unknowns.  In this example, we can solve equation 1) for x --

x − 20 = y + 20

 implies   x = y + 40

-- and substitute it into equation 2):

y + 40 + 22 = 2(y − 22).

      That is,

y + 62 = 2y − 44,

y − 2y = − 44 − 62,

according to the techniques of Lesson 9,

−y = −106

y = 106.

Bob has $106.  Therefore, according to the exression for x, Andre has

106 + 40 = $146.

I hope this helps u! :D

You might be interested in
A coin is tossed 72 times. What is a reasonable prediction for the number of
Aneli [31]

Answer :

That’s it, the probability of getting tail on a single coin toss times the number of observations.

In this case, 1/2 * 72 = 36

However, there’s something called chance error. How much do you expect the result to differ from the expected value? It can be calculated as follows:

The Standard Deviation of this experiment is  √(0.5)(0.5) =0.5

The Standard Error is  √72 (0.5) ≈ 4.18330 round to the nearst tenth is 4

So, the expected value is 36, give or take 4.

And since the number of tails in a toss coin experiment is normally distributed, then you can expect the number of tails to be between -2 and +2 SEs from the expected value 95% of the time.

In other words, if you repeat this experiment a large number of times, you can expect to obtain between 27 and 43 tails 95% of the time.

Hope this helps

4 0
3 years ago
What is 4 divided by 631
vagabundo [1.1K]
4÷631=157.75 hope that helps ya!!!!
5 0
3 years ago
The distribution of scores on the SAT is approximately normal with a mean of mu = 500 and a standard deviation of sigma = 100. F
ella [17]

Answer:

a. 2.28%

b. 30.85%

c. 628.16

d. 474.67

Step-by-step explanation:

For a given value x, the related z-score is computed as z = (x-500)/100.

a. The z-score related to 700 is (700-500)/100 = 2, and P(Z > 2) = 0.0228 (2.28%)

b. The z-score related to 550 is (550-500)/100 = 0.5, and P(Z > 0.5) = 0.3085 (30.85%)

c. We are looking for a value b such that P(Z > b) = 0.1, i.e., b is the 90th quantile of the standard normal distribution, so, b = 1.281552. Therefore, P((X-500)/100 > 1.281552) = 0.1, equivalently  P(X > 500 + 100(1.281552)) = 0.1 and the minimun SAT score needed to be in the highest 10% of the population is 628.1552

d. We are looking for a value c such that P(Z > c) = 0.6, i.e., c is the 40th quantile of the standard normal distribution, so, c = -0.2533471. Therefore, P((X-500)/100 > -0.2533471) = 0.6, equivalently P(X > 500 + 100(-0.2533471)), and the minimun SAT score needed to be accepted is 474.6653

4 0
3 years ago
A bag contains three red marbles, four blue, nine yellow, and five green. what is the probability of getting a yellow or green
Marina86 [1]

Answer:

14/21 or 2/3

Step-by-step explanation:

66 percent

6 0
2 years ago
Read 2 more answers
How do you find the vertex & how do you know if a graph opens up or down help please asap
alex41 [277]
Standard form of a quadratic f(x) = ax^2 + bx + c
In a quadratic function you find the vertex using the formula x = -b/2a; once you find the x value, substitute it into the equation and solve for y.
To know if a parabola opens up or down you look at the coefficient of the x^2 term. If it is positive, the graph opens up; if it is negative, the graph opens down.
8 0
3 years ago
Other questions:
  • What is the product of 7-8i
    7·1 answer
  • the cost to park a car in a parking lot is $3.45 per hour maleek parked his car for 4 hours on Monday 3 hours on Tuesday and 2 h
    6·1 answer
  • If storm has 3 bars she needs 22 bars but one bar equals 4 ores how many ores does she need?
    13·2 answers
  • I need help pretty please!
    7·1 answer
  • A computer programmer worked for 10 hours and earned $70, which is a of $__ per hour
    13·1 answer
  • Plz giving brainiest hurry fast plzz i beg
    9·1 answer
  • The owner expects you to hand wash each coffee pot before the coffee shop opens. It takes 10 minutes for all of the coffee pots
    7·1 answer
  • Which of the following statements describe the path of the baseball? Select all that apply
    9·1 answer
  • What is the value of X in the equation below 150=3/5x
    8·1 answer
  • Use the graphs of F and G to evaluate the functions.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!