A student spends no more than 2 hours on his math and English homework. If math takes about twice as long as long as english. How long will the student be able to finish hisEnglish homework?

Answers

Answer 1

Answer: E - English homework, M - Math homework;
M + E ≤ 2 hours
M = 2 E
2 E + E ≤ 2 hours
3 E ≤ 2 hours = 120 minutes
E ≤ 120 : 3
E ≤ 40 minutes
Answer:
The student will be able to finish his English homework in less or equal to 40 minutes.

Answer 2

Answer:

Answer:

d) 2/3

Step-by-step explanation:

Step one: write your equations

"A student spends no more than 2 hours on his math and English homework." Our sign will be less than or equal to. Our operation will be addition since the question used "and" to connect math and English.

m=x; e=y

Equation a. x + y ≤ 2

Equation b. x = 2y (2y because math takes twice as long, therefore, we can multiply y by 2) Remember: x or y by itself has a coefficient of 1.

Step two: Substitute x into equation a.

x=2y so our new equation is: 2y + y ≤ 2

Step three: isolate y and solve

2y + y= 3y

3y ≤ 2

Next, isolate y by dividing both sides by 3.

3y/3 ≤ 2/3

y ≤ 2/3

There is your answer, English equals y, so the maximum time he can take on his English work is 2/3 of an hour or 40 minutes.

Full question: A student spends no more than 2 hours on his math and English homework. If math takes about twice as long as English, what is the maximum time that the student can spend on English?

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Joe solved this linear system correctly.6x+3y=6

y=−2x+2

These are the last two steps of his work.

6x−6x+6=6

6=6

Which statement about this linear system must be true?

a) x must equal 6

b) y must equal 6

c) there is no solution to this system

d) there are infinitely many solutions to this system

Answers

There are infinitely many solutions because the first two equations are actually the same just arranged differently so there's not enough information to know what x or y are in other words they could be anything.

Sarah is the president of the drama club and wants to publish a newspaper. Expenses are $.90 for printing and mailing each copy, plus $600 total for research and writing. The price of the newsletter is $1.50 per copy. How many copies of the newsletter must the club sell to break even?. . a. To break even, the drama club must sell 1000 copies. . b. To break even, the drama club must sell 100 copies. . c. To break even, the drama club must sell 250 copies. . d. To break even, the drama club must sell 444 copies. .

Answers

Let: x = number of copies sold

We can formulate the following equation to solve for x:

1.50x - 0.9x - 600 = 0

x = 1000

Therefore, the club must sell 1000 copies to break even. Among the choices, the correct answer is A.

The missing number in the series : 0, 6, 24, 60, 120, ?, 336, is
(A) 240 (B) 220 (C) 280 (D) 210

Answers

$0;\ 6;\ 24;\ 60;\ 120;\ ?;\ 336\n\na_1=0\na_2=6\na_3=24\na_4=60\na_5=120\na_6=?\na_7=336\n\na_n=n^3-n$

$a_1=1^3-1=1-1=0\na_2=2^3-2=8-2=6\na_3=3^3-3=27-3=24\na_4=4^3-4=64-4=60\na_5=5^3-5=125-5=120\na_6=6^3-6=216-6=210\na_7=7^3-7=343-7=336\n\nAnswer:\n?=210$

Does anyone know this

Answers

Answer:

It is A

Step-by-step explanation:

The square route of 174 is 13.190906. Didn't use a calculator.

: Diego is collecting dimes and nickels in a jar. He has collected $22.25 so far. The relationship between the numbers of dimes and nickels, and the amount of money in dollars is represented by the equation: 0.10d + 0.05n = 22.25

Answers

Answer:

A. (0,445)

D.(118,209)

E.(172,101)

Step-by-step explanation:

The equation that we have in this problem is:

$0.10d + 0.05n = 22.25$

where

d is the number of dimes

n is the number of nickels

$22.25 is the total amount of money collected by Diego in the jar.

In order to find which pairs of values can be solutions to the equation, we just need to substitute each pair (d,n) into the left term on the equation, and check if the result is 22.25. Let's do it:

A. (0,445)

$0.10\cdot 0 + 0.05\cdot 445 =0+22.25=22.25$ --> YES