MATHEMATICS HIGH SCHOOL

What is the solution to the system of equations?



x=3y+5
x-4y=3

Answers

Answer 1
Answer: x=3y+5\nx-4y=3\n\n3y+5-4y=3\n-y=-2\ny=2\n\nx=3\cdot2+5\nx=11

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Describe how you solved the following problem:I have a jar filled with $100 worth of quarters, nickels, and dimes. 

I have the same amount of each type of coin. How many total coins do I have in my jar? 

Answers

first you make sure you have all your variables using same measurement - cents (since it is the smallest)

$100 = 100*100 cents = 100,000 cents
1 quarter = 25 cents
1 nickel = 5 cent
1 dime = 10 cents

the test of your problem said that:
     you have $100     in       i don't know how many coins   of quarters, nickels and dimes
         100,000          =                    X                            *      (25+5+10)


we have to find X:

100,000= X *(25+5+10)
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Solve the equation
-13v=195

A. -1/15
B. 15
C. 1/15
D. -15

Answers

Good Morning

-13v=195

Divide both sides by -13

-13v/-13= 195/-13

v= -15

Answer: D

I hope that's help !


Khalil bought a new book that has300 pages. He wants to finish reading
it in 8 weeks. He reads the same
number of pages each week. About
how many pages should he read each
week? Use estimation and write an
equation to solve.

Answers

the answer 300/8 = 37.5

Answer:

the answer is 38

Step-by-step explanation:

300/8 = 37.5

Them round 37.5 up because we can't have less than that amount AND we can't read just half a page

So then the answer would become 38 pages

Mr. Li records the measures of the lengths of his students’ handprints. The lengths, in centimeters, are shown in the table.14.0 , 11.5 , 12.1 , 16.2 , 13.5 , 14.3 , 16.8
12.4 , 13.7 , 12.0 , 14.7 , 15.2 , 11.9 , 15.6
13.8 , 14.2 , 12.5 , 15.0 , 16.0 , 13.1 , 11.7

If the class creates a histogram of the data in the table, how many students are in the range 12 cm to 13.9 cm?

1) 3
2) 4
3) 7
4) 8

Answers

The correct answer is:

4) 8

Explanation:

We want to find the frequency of this range. To do this, we count how many values fall between 12.0 and 13.9. There are 8 total values that do this, so the answer is 8.

In the given data set, there are 7 values in the given range.

How many students are in the range 12 cm to 13.9 cm?

Here we just need to find the number of values between 12cm and 13.9 cm, from the given table, these are:

12.1 cm, 13.5 cm, 12.4 cm, 13.7 cm, 13.8 cm, 12.5 cm, 13.1 cm

So there are 7 values in the given range, which means that 7 students are in the range of 12cm and 13.9cm.

Then the correct option is the third one.

If you want to learn more about data sets:

brainly.com/question/3514929

#SPJ5

What is the result when x 3 + 7 x ^2 + 1 9 x + 2 1 x ^​3 ​​ +7x ​^2 ​​ +19x+21 is divided by x + 3 x+3?

Answers

Synthetic division shows the quotient to be x² +4x +7.

A student received a 75% on an exam. If there were 20 questions on the exam, which ratio would show the number of questions answered correctly?A. 15:20
B. 20:15
C. 5:20
D. 20:5

Answers

Assuming the question is asking for the ratio of questions answered correctly to the number of questions, A is the correct answer. 75% of 20 is 15 ((20/4) x 3), so 15:20 is correct, though this can be cancelled to 3:4. If the question asks for the ratio of correct to incorrect answers, the ratio would be 15:5, or 3:1.
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