Susan and bonnie are shopping for school clothes. Susan has $50 and a coupon for a $10 discount at a clothing store where each shirt cost $12. Susan thinks that she can buy three shirts, but bonnie says Susan can by five shirts. The equations used to model the problem are listed below .Solve each equation algebraically ,justify your steps, and determine who is correct.

The absolute value of x in the inequality I 2x+1 I +2 I >1 showing the step by step solution is x > 2

The absolute value of a real number x can be defined as the non-negative value of x without regard or consideration to its sign.

It is also known as the modulus of a number.

It is sometimes described as the magnitude of a real number regardless of its sign.

It is important to note that the absolute value must take a positive sign

Given the expression;

I I 2x+1 I +2 I > 1

expand the modulus value

2x + 1 + 2 > 1

collect like terms

2x > 1 + 1 + 2

Add like terms

2x > 4

Make 'x' the subject

x > 4/ 2

x > 2

Thus, the absolute value of x is x > 2

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Answer:

no its not

Step-by-step explanation:

7 - 3 = ? not 4 so sub it

Answer:

Ethan's entire statement is true because he is saying that 7-3=4 and that is correct. If you have seven of something and take away 3 of them then you have 3 left.

Step-by-step explanation:

Take 7 apples for example, if you take away 3 of the apples and then count the left over you will notice that you end up with 4. Also, In a subtraction problem the larger number goes first followed by the smaller number, so that the end result is not a negative number. Hope this helps you.

Answer:

D

Step-by-step explanation:

3x+5=2x+5

Answer:

34

Step-by-step explanation:

I hope you can read this. It is the only way I could think of putting it up for you.

The first diagram is the given situation.

The second diagram asks you to ignore the 98 degree angle and extend the line making up the 116 degree angle until it hits the parallel line on your right. You can then find the supplement to the vertically opposite angle because angles on the same side of the transversal and are interior angles are supplementary. You should get 64.

The third diagram finds the supplement to the 98 degree angle (and yes the 98 degree angle is back in the picture again).  You should get 82

You now have 2 known angles in a triangle. The third diagram finds y and <4 to be 34 That's your answer.

Answer:

It would be B

Step-by-step explanation:

24 and 36 greatest common factor is 12 and  its least is 72

Answer:

-1 + [tex]\frac{x}{7}[/tex]

Step-by-step explanation:

( 2/7x-6 ) - ( 1/7x - 5 )

First you should combine 2/7 and x, and 1/7 and x. You do this by "bringing the x up". This is how the expression looks now: (2x/7 - 6) - (x/7 - 5). Notice: when you have 1x you can just remove the 1 since it is implied. The next step is to apply the distributive property. The number we are distributing is -1 to (x/7 - 5). This is how the expression now looks like: (2x/7 - 6) - x/7 + 5. Notice: since 5 was already negative, when we multiplied it by a negative, it became positive. Now we can remove the parenthesis since they are no longer necessary: 2x/7 - 6 - x/7 + 5. The next step is to combine the fractions since they have the same denominator. This is how the expression will look like now: -6 + 5 + [tex]\frac{2x - x}{7}[/tex]. Now we should subtract x from 2x (remember x really just means 1x). This is what we have so far: -6 + 5 + x/7. Lastly, we should add 5 to -6. This is how the finished expression should look like: -1 + x/7.

Hope this was clear!

Answer:

11

Step-by-step explanation:

Answer:

x= 13.333333

Step-by-step explanation: 12x = 160 & 160/12 = x

Answer:

x>1 or x<7

Step-by-step explanation:

Answer:

16,8,36 respectivly

Step-by-step explanation:

Answer:

Step-by-step explanation:

Put it into y=mx+b form and use substitution.

Answer:

HCF=4

LCM=10080

HCF x LCM = Product of the two given numbers is verified because 403200=40320

Step-by-step explanation:

HCF of 160 and 252

HCF is the product of common prime factors

Prime Factorisation of 160: 2x2x2x2x2x5

Prime Factorisation of 252: 2x23x3x7

HCF= 2x2

HCF=4

40 and 63 doesn't come in any other table together so,

HCF= 2 x 2 = 4

Now, finding LCM of 160 and 252

LCM is the product of all factors of both numbers, while if any factor is common, it is considered once.

Prime Factorisation of 160: 2x2x2x2x2x5

Prime Factorisation of 252: 2x23x3x7

In the given factors 2x2 is common so, it is considered once.

LCM= 2x2x2x2x2x3x5x7

LCM= 10080

Now, checking:

HCF x LCM = Product of the two given numbers.

4x10080=160x252

403200=40320

So, It is verified that HCF x LCM = Product of the two given numbers.

A wheel on a bicycle has a radius of 8 inches. The distance it covers if the tire makes 2 full rotations will be equal to 100.48 inches.

The distance covered by the wheel on a bicycle can be determined by using the formula:

distance traveled = 2 x circumference of the wheel

Where 2 is the number of rotations.

The circumference can be found by using the radius of the wheel in the formula:

C = 2π(r)

C =2π(8)

C =16π

Distance traveled can then be found by:

distance traveled = 2x16π

distance traveled =32π

As π = 3.14

distance traveled= 32 x 3.14 = 100.48 inches

Therefore, the distance covered by the wheel on a bicycle is equal to 100.48 inches if the tire makes 2 full rotations.

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Answer:

7

Step-by-step explanation:

Answer: Seven

Explanation: I wrote the numbers down, then added/subtracted 2 from 4, 7 from 6, and 8 from 0, then added all the totals

Answer:

5. The minute hand is greater by 5 minutes.

Answer:

125 = 1, 5, 25, 125

135= 1, 3, 5, 9, 15, 27, 45, 135

55= 1, 5, 11, 55

the common factor in all three numbers is 5

Answer:

Ok, could you put the image a little closer! I have horrible eye-sight!

Please and Thank you!

Step-by-step explanation:

Answer:

13v + 9

Step-by-step explanation:

(7v + 6) + (6v + 3) ← remove parenthesis

= 7v + 6 + 6v + 3 ← collect like terms

= 7v + 6v + 6 + 3

= 13v + 9

Answer:

46800

Step-by-step explanation:

10x15x24x13=46800

Answer: A.

Step-by-step explanation: First you must think about how many miles is 9 kilometers. How many miles in 9 kilometers is 5.59234. And A is the closest to the numbers of miles Tristan rode his bike. The other questions would be wrong. It isn't the exact one because it's the closest, not exact. Hope that helps :).

the answer is C im fairly certain

Answer:

slope = 3/4

Step-by-step explanation:

rise over run

Answer:

Step-by-step explanation:

The solution is the coordinates of the point (p,n) of intercept of lines described by given equations.

Answer:

Well since we don't know what X or Y is, then we can't answer this question.

Step-by-step explanation:

Answer:

x=4 so d

Step-by-step explanation:

Answer:

-160x+264

Step-by-step explanation:

-48+96x-112x+168

-160+264

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Work Shown:

The given values are

Through the Pythagorean trig identity, we can find

I'm skipping these steps, but let me know if you need me to go over them.

Since u and v are in quadrant 3, this means both sine and cosine are negative here

Using those four items, we can then say the following:

cos(v-u) = cos(v)cos(u) + sin(v)sin(u)

cos(v-u) = (-8/17)*(-5/13) + (-15/17)*(-12/13)

cos(v-u) = 40/221 + 180/221

cos(v-u) = (40 + 180)/221

cos(v-u) = 220/221

This is reduced as much as possible because the GCF of n and n+1 is always 1.

Answer:

55x + 11y/ 35

Step-by-step explanation: