Suzy went to a department store and brought 3 pairs of shoes. The first pair of shoes were not too expensive, but the second pair was twice as much as the first pair. The third pair of shoes were $5 more than the first pair. She paid with a $100 bill and got $3 in change. How much did each pair of shoes cost?

Answers

Answer 1

Answer:

Cost of first pair shoe = a = $23

Cost of second pair shoe = b = $46

Cost of third pair shoe = c = $28

Step-by-step explanation:

Let

Cost of first pair shoe = a

Cost of second pair shoe = b

Cost of third pair shoe = c

The first pair of shoes were not too expensive, but the second pair was twice as much as the first pair.

b = 2a......... Equation 1

The third pair of shoes were $5 more than the first pair.

c = a + 5...... Equation 2

She paid with a $100 bill and got $3 in change.

a + b + c = $100 - $3

a + b + c = 97........... Equation 3

Substitute 2a for b and a + 5 for c in Equation 3

a + 2a + a + 5 = 97

4a = 97 - 5

4a = 92

a = 92/4

a =$23

The cost of the first pair of shoe = $23

b = 2a......... Equation 1

b = 2($23)

b = $46

The cost of the second pair of shoe = $46

c = a + 5...... Equation 2

c = $23 +$5

c = $28

The cost of the third pair of shoe = $28


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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answer:

cosB = 21/75, tanB = 72/21

Step-by-step explanation:

Here, we can use pythagoras to figure out all sides. 75^2-72^2 = 21^2. So, we have sides with lengths 21, 72, and 75. We are given that sinB = 72/75. The definition of sin is opposite of hypotenuse. So, the opposite of angle B is side CA and the hypotenuse is BA. This allows us to find that BC is the 21 length side. The cos of an angle is adjacent over hypotenuse. In this case, it is BC/BA which is 21/75. similarly, Tan is opposite over adjacent or 72/21. And we are done. Those are the values. TO remember these, use the acronym:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

3(2)^2 - 5(-1)^3

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i need help in finding numerical value please

Answers

Answer:

Step-by-step explanation:

[tex]\sqrt{18}=\sqrt{2*3*3}=3\sqrt{2}[/tex]

[tex]\sqrt{12}=\sqrt{2*2*3}=2\sqrt{3}[/tex]

[tex]A=\sqrt{2}+\sqrt{18}\\\\=\sqrt{2}+3\sqrt{2}\\\\=(1+3)\sqrt{2}\\\\=4\sqrt{2}[/tex]

[tex]B=\sqrt{3}+\sqrt{12}=\sqrt{3}+2\sqrt{3}\\\\ = (1+2)\sqrt{3}\\\\ = 3\sqrt{3}[/tex]

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= 3* 1.732 - 4 *1.4142

= 5.196 - 5.6568

= -0.4608

Exact Answer:   [tex]4\sqrt{2} - 3\sqrt{3}[/tex]

Approximate Answer:  0.46070182678574

Round the approximate value however you need to.

=================================================

Work Shown:

[tex]C = \sqrt{ B^2 + A^2 - 2BA}\\\\C = \sqrt{ B^2 - 2BA + A^2}\\\\C = \sqrt{ (B-A)^2 }\\\\C = -(B-A) \ \ \text{ see note below}\\\\C = -B+A\\\\C = A-B\\\\C = (A) - (B)\\\\[/tex]

[tex]C = (\sqrt{2}+\sqrt{18}) - (\sqrt{3}+\sqrt{12})\\\\C = \sqrt{2}+\sqrt{18} - \sqrt{3}-\sqrt{12}\\\\C = \sqrt{2}+\sqrt{9*2} - \sqrt{3}-\sqrt{4*3}\\\\C = \sqrt{2}+\sqrt{9}*\sqrt{2} - \sqrt{3}-\sqrt{4}*\sqrt{3}\\\\C = \sqrt{2}+3\sqrt{2} - \sqrt{3}-2\sqrt{3}\\\\C = 4\sqrt{2} - 3\sqrt{3} \ \ \text{ ..... exact value}\\\\C \approx 0.46070182678574 \ \ \text{ ..... approximate value}[/tex]

-------------------

Note: The rule used here is

If x is positive then [tex]\sqrt{x^2} = x[/tex]

Or if x is negative, then [tex]\sqrt{x^2} = -x[/tex]

Since B-A = -0.4607 approximately, we will use the second version of the rule above.

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Answers

Answer:

880,000

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Move the decimal in 8.8 five places to the right.

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Answers

Step 1 u want to subtract 4 from both sides 3x+4-4=12-4
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Step-by-step explanation:

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See attachment for math work and answer.

7. Robert poys for his family to go bowling. He pays an initial fee
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per game that his family plays as shown in the graph
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Answers

Answer:

a)Robert pay $12 to rent shoes for  everyone

b)Cost of each game is 4.5

c)y = 4.5x+12

Step-by-step explanation:

Refer the attached graph

a)How much did Robert pay to rent shoes for  everyone ?

y - intercept will give the rent shoes for everyone

y intercept is point where the graph of a function or relation intersects the y -axis of the coordinate system.

So, from the graph we can see that at x = 0 , y = 12

So, from the graph we can see that the no. of games is 0 . So, Total cost is 12

Thus Robert pay $12 to rent shoes for  everyone

b)What was the cost per game at the  bowling alley?

So, we are supposed to find the slope

Two pints from graph :

[tex](x_1,y_1)=(0,12)(x_2,y_2)=(2,21)m = \frac{y_2-y_1}{x_2-x_1}=\frac{21-12}{2-0}=4.5[/tex]

So, Cost of each game is 4.5

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Answers

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Answers

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[tex] \huge{ \boxed{ \bold{ \text{7x + 9}}}}[/tex]

Step-by-step explanation:

[tex] \text{5x + 4 + 2x + 5}[/tex]

[tex] \text{Combine \: like \: terms} : [/tex]

[tex] \text{Like \: terms \: are \: those \: which \: have \: the \: same \: base.}[/tex]

[tex] ➝ \: \text{5x + 2x + 4 + 5}[/tex]

➝ [tex] \text{ 7x + 4 + 5}[/tex]

[tex] \text{Add \: the \: numbers : 4 \: and \: 5}[/tex]

[tex] ➝ \: \text{7x + 9}[/tex]

[tex] \text{Hope \: I \: helped}[/tex]!

[tex] \text{Best \: regards}[/tex]!

~[tex] \mathfrak{TheAnimeGirl}[/tex]

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Step-by-step explanation:

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