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natima [27]
1 year ago
7

marta bought new fish for her home aquarium. she bought 3 guppies and 2 platies for a total of 13.95. hank also ought guppies an

d platies for his aquarium. He bought 3 guppies and 4 platies for 18.33. Find the price of the guppy and the price of the platy
Mathematics
1 answer:
Ganezh [65]1 year ago
8 0
<span>Marta bought fish for his aquarium.
=> 3 guppies
=> 2 platies
=> total amount she paid = 13.95

Hank also bought fish for his aquarium
=> 3 guppies
=> 4 platies
=> Total amount he paid = 18.33

Notice that Hank and Marth bought the same number of Guppies and only Hank bought 2 additional Platies. Thus, let’s subtract the total of Hank and Martha
=> 18.33 – 13. 95 = 4.38
Thus, Hank paid an additional of 4.34 for 2 platies. Let’s divide to get the price of platies
=> 4.34 / 2 = = 2.19 (price of platies each.)
Let’s solve for price of guppies
=> 13.95 – 4.34 = 9.61
=> 9.61 / 3 = 3.20 (Price of guppies each.)</span>



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DENIUS [597]

Answer:

Step-by-step explanation:

Correct steps to find the value of 'a' should be,

Braulio's synthetic division should be,

-1  |     1       5         a          -3           11

   

    <u>            -1        -4        (4 - a)     (a - 1)  </u>

         1      4     (a - 4)     (1 - a)     (a + 10)

Here remainder is (a + 10).

So (a + 10) = 17 ⇒ a = 7

Braulio Incorrectly found a value of 'a' because he should have used (-1) instead of 1.

Zahra's calculation by remainder theorem should be,

p(x) = x⁴ + 5x³ + ax² - 3x + 11

p(-1) = (-1)⁴ + 5(-1)³ + a(-1)² - 3(-1) + 11

      = 1 - 5 + a + 3 + 11

      = (a + 10)

Since, remainder of the solution is 17,

(a + 10) = 17 ⇒ a = 7

Zahra incorrectly found the value of 'a' because she incorrectly solved the powers to (-1).

8 0
1 year ago
A triangle has side lengths of (1.3k+3.5m)(1.3k+3.5m) centimeters, (4.1k-1.6n)(4.1k−1.6n) centimeters, and (9.7n+4.4m)(9.7n+4.4m
Scorpion4ik [409]

Answer:

(5.4k+7.9m+8.1n) centimeters

Step-by-step explanation:

Given the side length of a triangle;

S1 = (1.3k+3.5m) cm

S2 = (4.1k-1.6n) cm

S3 = (9.7n+4.4m) cm

Perimeter of the triangle = S1+S2 + S3

Perimeter of the triangle = (1.3k+3.5m) + (4.1k-1.6n) + (9.7n+4.4m)

Collect the like terms;

Perimeter of the triangle = 1.3k+4.1k+3.5m+4.4m-1.6n+9.7n

Perimeter of the triangle = 5.4k+7.9m+8.1n

Hence the expression that represents the perimeter of the triangle is (5.4k+7.9m+8.1n) centimeters

5 0
1 year ago
On Monday, the closing value of a share of stock in Company ABC, was 74.01. On Tuesday, it closed at 73.67, and on Wednesday, it
Elenna [48]

Answer:

957.71

Step-by-step explanation:

Given: On Monday, the closing value of a share of stock in Company ABC, was 74.01. On Tuesday, it closed at 73.67, and on Wednesday, it closed at 74.32. On Thursday, the change in stock value was -1.48. And, on Friday, Company ABC's stock gained 0.89points.

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Solution:

Closing value of Shares of company ABC on Monday =74.01

Closing value of Shares of company ABC on Tuesday =73.67

Closing value of Shares of company ABC on Wednesday =74.32

on Thursday change in stock value was -1.48

Closing value of Shares of company ABC on Thursday =72.84

on Friday comapny's stock gained 0.89 points

Closing value of Shares of company ABC on Friday =73.73

As one shareholder owns 13 shares of company

Total value of shares on Tuesday is

                         =\text{number of shares}\times\text{closing stock value on tuesday}

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6 0
1 year ago
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Korvikt [17]
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slamgirl [31]

Answer:

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Step-by-step explanation:

we know that

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x=\frac{2}{11}\pm\frac{\sqrt{15}} {11}

therefore

StartFraction 2 Over 11 EndFraction plus-or-minus StartFraction StartRoot 15 EndRoot Over 11 EndFraction

7 0
2 years ago
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