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Olenka [21]
3 years ago
9

The we are readers book club allows members to buy book for $8.75 per book.The print is dead book club cost $20 to join and allo

ws members to buy books for $6.25 per book.
What does each variable represent?

Write system of equation for above sitiuation.


How many book purchases give the two book clubs the same cost? What is the equal cost??
Mathematics
1 answer:
Likurg_2 [28]3 years ago
7 0
$8.75x = $6.25x + $20

$8.75x -$6.25x = $20

$2.50x = $20

So when x = 8, $8.75 x 8 books= $70 and $6.25 x 8 books = $50 + $20 club fee = $70

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R−5r−6s+8s−15 what is the answer for this equation
weeeeeb [17]

Step-by-step explanation:

r-5r-6s+8s-15

-4r+2s-15

= 2s-4r-15

4 0
3 years ago
Prove that can you please prove and explain it plz ​
Alexandra [31]

Answer:

Step-by-step explanation:

LHS = Sin² ∅ + Sin² ∅*tan² ∅

        = Sin² ∅ [1 + tan² ∅ ]                 {Sec² ∅ - tan² ∅  = 1}

         = Sin² ∅ *Sec² ∅

         = Sin² ∅ * \frac{1}{Cos^{2} }

         = Sin² ∅ /Cos² ∅

        =  tan² ∅  = RHS

8 0
3 years ago
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The points with coordinates (x, -1), (2,2), and (4,3) lie on the same line. What is the value of x?
borishaifa [10]

Find the slope of the line passing throught the points (2, 2) and (4, 3).

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

Substitute:

m=\dfrac{3-2}{4-2}=\dfrac{1}{2}

If the point (x, -1) lie on the same line, then the slope of line passing through the points (2, 2) and (x, -1) the same:

Substitute:

m=\dfrac{-1-2}{x-2}=\dfrac{-3}{x-2}

We have the equation:

\dfrac{-3}{x-2}=\dfrac{1}{2}        <em>cross multiply</em>

(1)(x-2)=(-3)(2)

x-2=-6           <em>add 2 to both sides</em>

x=-4

<h3>Answer: x = -4.</h3>
7 0
3 years ago
2 2/7× 5 1/6<br><br>what is the answer to this question pls tell me ​
hodyreva [135]

Answer:

7 19/42

Step 1:

Convert the mixed fractions into improper fraction (Denominator will be same)

2x7+2= 16/7

5x6+1=31/6

Step 2:

LCM of 6 and 7 are 42

Step 3:

217+96/42= 313/42

Step 4:

Covert to mixed fraction so the answer is 7 19/42

7 0
3 years ago
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Margaret’s bottle of shampoo is 7/8 full. She uses 1/3 of the shampoo in the bottle to wash the dog. Estimate what fraction of s
AleksandrR [38]

Fraction of shampoo left = \frac{13}{24}

Solution:

Given fraction of full shampoo  =\frac{7}{8}.

Fraction of shampoo Margaret used  =\frac{1}{3}

Fraction of shampoo left = Full shampoo – fraction of shampoo used

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To make the denominators same do cross multiplication.

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                                          =\frac{21-8}{24}

                                          =\frac{13}{24}

Hence \frac{13}{24} of the shampoo bottle is left.

8 0
3 years ago
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