Match each word problem to its solution.

(pLeaSe HuRry)

Seven more than 3 times a number is 49. What is
the number?

Hillary’s age is 3 years greater than 2/3 times
Lily’s age. If Hillary is 19 years old, how old is Lily?

Twice a number decreased by 20 is 50. What is
the number?

Claret purchased two handbags and a wallet.
The cost of each handbag was $10 more than
the wallet. If she spent a total of $60 for the two
handbags, what is the cost of the wallet?

A) 14

B)24

C)35

D)20

Step-by-step explanation:

A) Let the number be x.

Thus, 3x + 7 = 49

3x = 49 - 7

3x = 42

x = 42/3

x = 14

B) let lily's age be y.

Since Hillary's age is 19 years.

So,

19 = ⅔y + 3

⅔y = 19 - 3

⅔y = 16

Multiply both sides by 3 to give ;

2y = 48

y = 48/2

y = 24.

Lilly's age = 24 years

C) let the number be z.

Thus,

2z - 20 = 50

2z = 50 + 20

2z = 70

z = 70/2

z = 35

D) Let the cost of the handbag be p and the cost of the wallet be q.

Each handbag costs $10 more than each wallet.

Thus;

Cost of handbag = p + 10

Since she bought 2 handbags and a wallet and spent a total of $60 on the handbags.

Thus;

2(p + 10) = 60

2p + 20 = 60

2p = 60 - 20

2p = 40

p = 40/2

p = $20

a)(x-2)^2+(y-1)^2=9

step-by-step explanation:

(picture explains)

answer is 8x+24

area of vanessa's patio = length × width

given, length = (3x² + 5x + 10)

width = (x² - 3x - 1)

area of vanessa's patio = (3x² + 5x + 10)(x² - 3x - 1)

= 3x²(x² - 3x - 1) + 5x(x² - 3x - 1) + 10(x² - 3x - 1)

= 3x⁴ - 9x³ - 3x² + 5x³ - 15x² - 5x + 10x² - 30x - 10

= 3x⁴ - 4x³ - 8x² - 35x - 10

hence, expression of vanessa's patio = (3x⁴ - 4x³ - 8x² - 35x - 10)