You have no more than $65 to spend after paying your bills. You want a drink that costs$2.25 including tax, and you want to buy a pair of shoes, which will have 7% sales tax.
What is the inequality that represents the amount of money you have to spend?

a. x + 0.07x + 2.25 > 65
b. x + 0.07x + 2.25 ≤ 65
c. x + 0.07x + 2.25 < 65
d. x + 0.07x + 2.25 ≥ 65

Answers

Answer 1

Answer:

Answer: B

Step-by-step explanation: You have no more than $65 which means you will want to spend equal to or less. Since you have $65, you will be able to spend up to that amount but you will not be able to spend any more than that. So, you will need to make sure the final price remains under or equal to your amount.

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Which of the following situations MAY cause someone to use substitution, in order to solve a system of equations?A. An exact solution is not needed.
B. One of the equations may easily be solved for a variable.
C. An exact solution is needed.
D. Both of the equations are solved for one variable.

Answers

If you want to substitute, you need to solve an equation for a variable. I ONLY use this method if I can easily solve one equation for a variable, and then it is a maybe. For this case use B

What is 7 7/8- 31/4 simplified

Answers

$7(7)/(8)-(31)/(4)=7(7)/(8)-(28+3)/(4)=7(7)/(8)-7(3)/(4)=7(7)/(8)-7(3\cdot2)/(4\cdot2)=7(7)/(8)-7(6)/(8)=\boxed{(1)/(8)}$

7 7/8 = 63/ 8 ;
31/ 4 = 62/ 8 ;
63 / 8 - 62 / 8 = 1 / 8 .

40 = 90^2/16 sinx cosx find x

Answers

Answer:

x = 4.545

Step-by-step explanation:

Given the expression

$40=(90^2)/(16) sinxcosx\n\nCross\ multiplying;\n\n16*40 = 90^2 sinxcosx\n\n640 = 90^2 sinxcosx\n\n(640)/(8100) = sinxcosx\n from\ trig\ identity, sin2x = 2sinxcosx\nsinxcosx = sin2x/2\n$

$Hence, \ (640)/(8100) = (sin2x)/(2) \n\n(2*640)/(8100) = sin2x\n \n(1280)/(8100)=sin2x\n \n0.158 = sin2x\n\n2x = sin^(-1) 0.158\n\n2x = 9.09\nx = 9.09/2\nx =4.545$

Solve the system of linear equations below.

2x + 3y = 2
x + 6y = 4

Answers

Step 1: Distribute
$2(2x+3y=2)$
$x+6y=4$

Step 2: Rewrite
$4x+6y=4$
$x+6y=4$

Step 3: Solve
$5x/5=0/5$
$x=0$

Step 4: Replace back into original first equation
$0+6y=4$
or $6y=4$

Step 5: Solve
$6y/6=4/6$
$y= (2)/(3)$

Your answer is $(0, (2)/(3))$

How do you simplify 5^log5x

Answers

$5^(log_5x)=x;\ D:x\in\mathbb{R^+}\n\n\n\n5^(log_5x)=a\n\nlog_55^(log_5x)=log_5a\n\nlog_5x\cdot log_55=log_5a\n\nlog_5x=log_5a\iff x=a\Rightarrow5^(log_5x)=x$

What is the value of the variable?

19b = 38

Answers

The answer is 2. You divide 19 to sides of the equation, so you will get b=38/19, therefore your final answer is 2.

19b = 38

b = 2

Have a nice days............

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