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lesya692 [45]
3 years ago
6

A teacher has two students, one two times as old as the other. The teacher is five times as old as the older student, and in 5 y

ears she will be five times as old as her younger student. Find the teacher’s present age.
Mathematics
1 answer:
Daniel [21]3 years ago
6 0
Let x = the older student
Let y = the younger student
Let z = the teacher.

x = 2y
z = 5x
z + 5 = 5y Somehow this does not look like its going to be nice.
z = 5y - 5
Since z = 5y - 5 we have
5y - 5 = 5x
y - 1 = x Here's the problem. there is a contradiction. You need to make y bigger, not smaller.

You might be interested in
How do you graph 2x + y > 4
cestrela7 [59]

Rewrite the inequality as

y > -2x+4

We can compare this expression to the function

y=-2x+4

The inequality states that we want to consider all the point whose y coordinates are greater than the ones of the points that lay on the graph.

So, we can graph the inequality in two steps:

  1. Graph the line y=-2x+4
  2. Consider all the point above the graph (greater y values means "higher")

Since the function y=-2x+4 is a line (because it is a first-degree polynomial), you can graph it by simply sampling two points: if for example we choose x=0 and x=1, the correspondent y values are

x=0 \implies y = -2\cdot 0+4 = 4,\quad x=1\implies y = -2\cdot 1+4 = 2

So, the line passes through the points (0,4) and (-1,2). Connect them and you have the graph of the line.

5 0
4 years ago
Estimate the square root 25 to the nearest integer. A. 6 B. 5 C. 7 D. 4
german
25 is a perfect square, the square root of 25 = 5 because 5 * 5 = 25
8 0
4 years ago
Read 2 more answers
Julie is making fruit smoothies. She can make 8 servings of a certain amount of smoothie with 5 ounces of pineapple juice left o
Varvara68 [4.7K]

Answer:

x=38

Step-by-step explanation:

8+5=13

12+11=23

6 0
3 years ago
In 1985, the average ACT score was 18 with a standard deviation of 6. Also in 1985, the average SAT score was
lord [1]

The ACT score was better since the z-score of the ACT is greater than the z-score of the SAT. Then the correct option is B.

<h3>What is a normal distribution?</h3>

It is also called the Gaussian Distribution. It is the most important continuous probability distribution. The curve looks like a bell, so it is also called a bell curve.

The z-score is a numerical measurement used in statistics of the value's relationship to the mean of a group of values, measured in terms of standards from the mean.

The z-score is given as

\rm z = \dfrac{x - \mu }{\sigma}

In 1985, the average ACT score was 18 with a standard deviation of 6.

Also in 1985, the average SAT score was 500 with a standard deviation of 100.

Dr. Robertson took both tests in 1985 and scored a 26 on the ACT and a 620 on the SAT.

Then the z-score of the ACT will be

\rm z = \dfrac{26 - 18}{6}\\\\z = 1.3333

Then the z-score of the SAT will be

\rm z = \dfrac{620 - 500}{100}\\\\z = 1.2

Then the ACT score was better since the z-score of the ACT is greater than the z-score of the SAT.

More about the normal distribution link is given below.

brainly.com/question/12421652

#SPJ1

6 0
2 years ago
A chemical spill is leaking into a river flowing 2 3/4 miles per hour. How long will it take the chemicals to reach a town locat
ExtremeBDS [4]

Answer:

6\frac{3}{11}=6.27 hours.

Step-by-step explanation:

We have been given that a chemical spill is leaking into a river flowing 2 3/4 miles per hour.

To find the time taken by chemical to reach the town we will divide distance of town from the spill by distance covered by chemical spill in one hour.

\text{Time taken by chemical to reach the town}=17\frac{1}{4} \div 2\frac{3}{4}

Upon converting our mixed fractions into improper fractions we will get,

\text{Time taken by chemical to reach the town}=\frac{69}{4} \div \frac{11}{4}

Dividing a fraction with another fraction is same as multiplying first fraction by the reciprocal of second fraction.

\text{Time taken by chemical to reach the town}=\frac{69}{4}\times \frac{4}{11}

After cancelling out 4 we will get,

\text{Time taken by chemical to reach the town}=\frac{69}{11}

\text{Time taken by chemical to reach the town}=6\frac{3}{11}

\text{Time taken by chemical to reach the town}=6.272727\approx 6.27

Therefore, it will take the chemicals 6\frac{3}{11}=6.27 hours to reach the town.

5 0
4 years ago
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