With stars are my answers. Please check them if they are wrong please tell me the right ones.
Number 1 (the bottom one) I don't get it so please help me with that one please!
1) You have $60 in your wallet and want to buy some new CDs. If the CDs are $11 each, what number of CDs, x, can you buy? Write and solve an inequality. Then explain your answer.
Solve the inequality. For #'s 2 & 3
2) 12p < 96
a. p < 8
b. p < 108
c. p < 84 ******
d. p < -8
3) g / -5 < -18
a. 9 < -23
b. g > -90 **********
c. g > 90
d. g < 90
4) Which of the following equations has an infinite number of solutions?
a. 3x - 3 = -4x
b. 2y + 4 - y = 16
c. 7x + 5 = 4x + 5 + 3x *******
d. 6y - 2 = 2(y - 1)
5) The result of 6 subtracted from a number n is at least 2.
a. n - 2 > 6; n > 8 *******
b. n - 6 > 2; n > 8
c. n + 6 > 2; n < 4
d. n + 6 > 2; n > 4
1. Your inequality will be 11x <= 60
2. wrong
3. wrong
4. right
5. none of the answers are matching the question, but b is best.
ok thnx
11x </= 60
is
x </= 5.45
but you can not buy a fractional CD
so
x </= 5
2) 12p < 96
===========================
divide both sides by 12
p < 8 which is A
========================
a. p < 8
b. p < 108
c. p < 84 ****** NO a
d. p < -8
3) g / -5 < -18
================================
multiply both sides by -5
WHEN YOU MULTIPLY BY NEGATIVE REVERSE THE ARROW!!!!
g > 90
Which is C
===================================
a. 9 < -23
b. g > -90 **********
c. g > 90
d. g < 90
4) Which of the following equations has an infinite number of solutions?
a. 3x - 3 = -4x
b. 2y + 4 - y = 16
c. 7x + 5 = 4x + 5 + 3x ******* YES
d. 6y - 2 = 2(y - 1)
5) The result of 6 subtracted from a number n is at least 2.
a. n - 2 > 6; n > 8 ******* no
b. n - 6 > 2; n > 8 I think this ! but>/=
c. n + 6 > 2; n < 4
d. n + 6 > 2; n > 4
oh ok...... wow thnx
Ya, Ed is right wow thnx Damon
1) To solve this problem, you can set up an inequality using the given information. Since the CDs cost $11 each and you have $60, you want to find the maximum number of CDs, x, that you can buy without exceeding $60. The inequality can be written as:
11x <= 60
To solve this inequality, you need to isolate x. Divide both sides of the inequality by 11:
x <= 60/11
Simplifying the division gives you:
x <= 5.45
Since you can't buy a fraction of a CD, you round down to the nearest whole number. Therefore, you can buy a maximum of 5 CDs with $60.
2) In this problem, you are given the inequality 12p < 96.
To solve for p, divide both sides of the inequality by 12:
p < 96/12
Simplifying the division gives you:
p < 8
Therefore, the correct answer is: p < 8.
3) In this problem, you are given the inequality g / -5 < -18.
To solve for g, multiply both sides of the inequality by -5 (note that when you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality sign):
g > -18 * -5
Simplifying the multiplication gives you:
g > 90
Therefore, the correct answer is: g > 90.
4) An equation has an infinite number of solutions when the variables cancel out and you are left with a statement that is always true.
Looking at the given options, the equation that has an infinite number of solutions is:
c) 7x + 5 = 4x + 5 + 3x
Simplifying this equation gives you:
7x + 5 = 7x + 5
As you can see, the variable x cancels out on both sides, and you are left with the statement "5 = 5," which is always true. Therefore, this equation has an infinite number of solutions.
5) To solve this problem, you can translate the given statement into an inequality. The result of 6 subtracted from a number n is at least 2 can be written as:
n - 6 >= 2
To solve for n, add 6 to both sides of the inequality:
n >= 2 + 6
Simplifying the addition gives you:
n >= 8
Therefore, the correct answer is: n >= 8.