2 years ago

7.

Mathematics

1 answer:

alina1380 [7]2 years ago

8 0

Answer:

Step-by-step explanation:

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you buy a container of cat litter for $12.25 and a bag of cat food for xx dollars. the total purchase is $19.08, which includes

Tpy6a [65]

1.06(12.25 + x) = 19.08
12.25 + x = 19.08/1.06 = 18
x = 18 - 12.25 = 5.75

Therefore, the cost of the cat food is $5.75

8 0

2 years ago

The sum of three consecutive terms in an arithmetic sequence is 27, and their product is 585. find the three terms.

sammy [17]

$\text{the three consecutive terms in an arithmetic sequence}\\a;\ a+d;\ a+2d\\\\\text{system of equals}\\\\ \left\{\begin{array}{ccc}a+a+d+a+2d=27\\a(a+d)(a+2d)=585\end{array}\right\\ \left\{\begin{array}{ccc}3a+3d=27&|:3\\a(a+d)(a+2d)=585\end{array}\right\\ \left\{\begin{array}{ccc}a+d=9&\to d=9-a\\a(a+d)(a+2d)=585\end{array}\right\\$
$\text{substitute to the second equation}\\\\a(a+9-a)(a+2(9-a))=585\\\\a(9)(a+18-2a)=585\\9a(18-a)=585\ \ \ |:9\\a(18-a)=65\\18a-a^2=65\ \ \ |\text{change the signs}\\a^2-18a=-65\\a^2-2a\cdot9=-65\ \ \ |+9^2\\\underbrace{a^2-2a\cdot9+9^2}_{(a-b)^2=a^2-2ab+b^2}=-65+9^2\\(a-9)^2=16\to a-9\pm\sqrt{16}\\a-9=-4\ \vee\ a-9=4\ \ \ |+9\\a=5\ \vee\ a=13\\\\d=9-5=4\ \vee\ d=9-13=-4$
$Answer:\ a=5;\ a+d=9; a+2d=13\ vee\ a=13;\ a+d=9;\ a+2d=5$

5 0

3 years ago

How will this be writen seven less than the quotient of nineteen and a number

maxonik [38]

19/n - 7 or (19/n) - 7

6 0

3 years ago

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F the domain is {0, 2, -6}, what is the range of y = -2x + 3?

makkiz [27]

Answer:

3,-1,15

Step-by-step explanation:

(0,3) (2,-1) (-6,15)

8 0

3 years ago

Prime factors of 20 i dont know this question

dem82 [27]

Answer:

2 x 2 x 5,

Step-by-step explanation:

20 = 1 x 20

2 x 10

4 x 5

Factors of 20= 1, 2, 4, 5, 10, 20.

Prime factors are = 2 x 2 x 5,

6 0

3 years ago

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