MATHEMATICS HIGH SCHOOL

A swimming pool is being filled ata rate of 15 pints per minute. How many gallons per hour is this?

Answers

Answer 1

Answer:

we have to convert the rate from pints per minute to gallons per hour

1 pint = 0.125 gallon

1 minute - 1/60 hours

we can write 15 pints per minute as

15 pints / 1 minute

to convert pints to gallons we have to multiply by 0.125 gallon/pint

to convert minutes to hours we have to multiply by 1/60 hours/minute

$(15 pints*0.125 gallons/pint)/(1 minute * 1/60 hours/minute)$

rate is 112.5 gallons/hour

Answer 2

Answer: 15(pints) x 60(min)=900 pints
.125 x 900= 112.5
112.5 gallons per hour.

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There are 25 students in Mrs. Venetozzi’s class at the beginning of the school year, and the average number of siblings for each student is 3. A new student with 8 siblings joins the class in November.The average number of siblings that each student has is

Answers

THE ANSWER IS 83!!!!!!!!!!

Answer:

The new average is

exactly

≈

3.192

to 3 decimal places

Explanation:

Assumption: None of the siblings are in that class.

Original numbers

25 students with 3 siblings each gives

siblings

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

New numbers

1 new student takes the total students to 25+1 = 26

The new total siblings is

The new average is

exactly

≈

3.192

to 3 decimal places

Match the terms to their definition. 1. consistent equations the determinant found when column 1 consists of the constants and column 2 consists of the y-coefficients of a linear system 2. equivalent equations the determinant found when column 1 consists of the x-coefficients and column 2 consists of the constants of a linear system 3. inconsistent equations equations having a common solution in a system 4. linear inequality equations having no common solutions in a system 5. substitute replace a quantity with its equal 6. system determinant equations having all common solutions 7. x-determinant an open sentence of the form Ax By C < 0 or Ax By C > 0 8. y-determinant the determinant found when column 1 consists of the x-coefficients and column 2 consists of the y-coefficients of a linear system

Answers

Answer:

1-----3

2-----6

3------4

4------7

5-------5

6-------8

7--------1

8--------2

step-by-step explanation:

consistent equation: equations having a common solution in a system.

Equivalent equation: equations having all common solutions.

Inconsistent equations: equations having no common solutions in a system

Linear inequality: an open sentence of the form Ax+By+C < 0 or Ax+By+C > 0.

substitute: replace a quantity with its equal.

system determinant: the determinant found when column 1 consists of the x-coefficients and column 2 consists of the y-coefficients of a linear system.

x-determinant: the determinant found when column 1 consists of the constants and column 2 consists of the y-coefficients of a linear system.

y-determinant: the determinant found when column 1 consists of the x-coefficients and column 2 consists of the constants of a linear system.

Final answer:

The terms are matched with their respective definitions, providing clarity about equations, linear inequality, substitution, and determinants in the context of a system of linear equations.

Explanation:

Let's go ahead and match these terms to their correct definitions:

Consistent equations are equations having a common solution in a system.
Equivalent equations refer to equations having all common solutions.
Inconsistent equations are equations having no common solutions in a system.
Linear inequality is an open sentence of the form Ax + By < C or Ax + By > C.
To Substitute means to replace a quantity with its equal.
System determinant for this instance, since specific definition is not provided, could be considered as a determinant that serves as a pivotal element in the solution of system of linear equations.
X-determinant is the determinant found when column 1 consists of the x-coefficients and column 2 consists of the constants of a linear system.
Y-determinant is the determinant found when column 1 consists of the x-coefficients and column 2 consists of the y-coefficients of a linear system.

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My question is, what is: log6(4x-8)=3

Answers

$log_6(4x-8)=3\ (*)\n\nD:4x-8 > 0\to4x > 8\to x > 2\to x\in(2;\ \infty)\n\n(*)\ 4x-8=6^3\n\n4x=216+8\n\n4x=224\ \ \ \ /:4\n\nx=56\in D$

4x-8=6^3
4x-8=216
4x=224
x=56

a class has a pizza party. there are 14 students that will have pizza. Each pizza has 8 slices. the teacher wants to buy the least amount of pizzas so that there are the same number of slices for each student. how many pizzas should be purchased?

Answers

The teacher could get a whole pie and five individual slices but if not then...... The teacher can get one whole pie and cut each slice into 2 but there will be a remainder of 1 slice which the teacher can have......hope this helps

The number of students in a chess club decreased from 24 to 14. What is the percent decrease? Roundyour answer to the nearest percent.