Martha is planting a garden that will cover up to 400 square feet. She wants to plant two types of flowers, daises and roses. Each daisy covers 2 square feet and each rose covers 1.5 square feet. Daises cost $2 a piece and each rose costs $3 a piece. Martha doesn't want to spend over $500 on her garden

150 daisies and 66 roses.

Step-by-step explanation:

To carry out the exercise, you have to propose equations with the requirements of Martha, a garden of 400 square feet and not spend more than $ 500. Let X be the number of daisies and Y the number of roses. We have left that:

2 * X + 1.5 * Y = 400 (1)

2 * X + 3 * Y = 500 (2)

We have two equations with two unknowns, therefore we proceed to solve. If we subtract (1) in (2) we have:

2 * X + 3 * Y - 2 * X - 1.5 * Y = 500 - 400, rearranging we have:

1.5 * Y = 100

Y = 100 / 1.5 = 66.7, it would be approximately 66 roses.

Replacing the value of Y now in (1) we have:

2 * X + 1.5 * 66.7 = 400

2 * X + 99.9 = 400

X = (400-99.9) / 2 = 150.05, would be approximately 150 daisies.

We replace in (1) and (2) to check:

2 * 150 + 1.5 * 66 = 399, is the maximum we can spend because one more flower would be spent.

2 * 150 + 3 * 66 = 498, is the maximum we can spend because one more flower would be spent.

Therefore it meets Martha's requirements for his garden, 150 daisies and 66 roses.

9) i can't see the angle so whatever it is just do this: cos(angle) x hypotenuse and then use that answer and they hypotenuse and plug it into this: (answer you just got)^2 + b^2 = (hypotenuse)^2. the first answer will be the answer of the adjacent side and the second answer after this equation will be the opposite side.

10) y = 14 x = √147 or 12.12435565

11) x = 4.8

12) x = 4.2

13) x = 9.3

14) pq: 13.2

qr : 17.6

angle p: 53º

15) angle c: 54.3º

angle a: 35.7º

16) h = 21040

v = 1841

step-by-step explanation:

10) 7/sin(30) = 14 = y

7^2 + b^2 = 14^2

49 + b^2 = 196

b^2 = 196 - 49

√b^2 = √147

x = √147

11) cos(70) x 14 = 4.788282007

x = 4.8

12) tan(25) x 9 = 4.196768923

x = 4.2

13) sin(31) x 18 = 9.270685348

x = 9.3

14) pq: sin(37) x 22 = 13.23993051

pq: 13.2

qr: cos(37) x 22 = 17.56998122

qr : 17.6

angle p: 180 - (37 + 90) = 53º

15) cos-1(7/12) = 54.31466529

angle c: 54.3º

angle a: 180 - (90 + 54.31466529) = 35.68533471

angle a: 35.7º

16) 4 x 5280 = 21120

cos(5) x 21120

h = 21039.63202

h = 21040

sin(5) x 21120

v = 1840.729287

v = 1841

i would you but i don't under stand the qustion

step-by-step explanation: