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just olya [345]
3 years ago
9

A landscaping business bought 8 rose bushes and 15 daylilies for $193. They went back later and bought 3 more rose bushes and 12

daylilies for $117. How much does each daylily cost?
Mathematics
1 answer:
pantera1 [17]3 years ago
6 0

Answer:

Each daylilies  cost $7

Step-by-step explanation:

Step one:

let roses be x

and daylilies be y

so

8x+15y=193--------------1

also

3x+12y=117--------------2

we can solve equations 1 and 2 by substitution

8x=193-15y

x=(193-15y)/8

put x= (193-15y)/8  in 3x+12y=117

3((193-15y)/8)+12y=117

(579-45y)/8+12y=117

579-45y=8(117-12y)

579-45y=936-96y

collect like terms

579-936=-96y+45y

-357=-51y

divide both sides by -51

y=-357/-51

y=7

Hence each daylilies  cost $7

put y=7 in eqn 1

8x+15(7)=193

8x+105=193

8x=193-105

8x=88

x=88/8

x=11

rose cost $8

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Eddie's Evergreens sells Christmas trees and wreaths. Trees cost 3 dollars more than 4 times the price of each wreath. It costs
kari74 [83]

Answer:

W = 16

T = 67

Step-by-step explanation:

Represent trees with T and wreaths with W

Given

T = 3 + 4 * W

2 * W + T = 99

Solving (a): Cost of W

Substitute 3 + 4 * W for T in the second equation

2*W + 3 + 4 * W = 99

2W + 3 + 4 W = 99

Collect Like Terms

2W + 4 W = 99 - 3

6W = 96

Divide through by 6

W =\frac{96}{6}

W = 16

Hence, each wreath costs $16

Solving (b): Cost of T

T = 3 + 4 * W

Substitute 16 for W

T = 3 + 4 * 16

T = 3 + 64

T = 67

Hence, each tree costs $67

3 0
2 years ago
Let F(x, y) be the statement "x can fool y," where the domain is the set of all people in the world. Translate each of the follo
elena-s [515]

Answer:

the statement  "x can fool y," where the domain is the set of all people in the world is everyone can be fooled by someone.

Step-by-step explanation:

"A logical expression is a statement that can either be true or false.

3 0
3 years ago
Which angle(s) is Julian describing?
Crank
I’m sorry I can’t help you, i would need more information
6 0
3 years ago
Which best describes the graph of g(x) = 1/9 sq x<br> PICTURE DOWN BELOW
Alexus [3.1K]

Answer:

A) The graph of g(x) is shrunk vertically by a factor of 1/9

Step-by-step explanation:

The given graph g(x) = 1/9√x

f(x) = √x

The altitude of g(x) = 1/9

The altitude of f(X) = 1

When comparing the graph of g(x) with f(x), the graph of g(x) shrunk by 1/9 because of the altitude.

Here with I have attached the graph.

Therefore, answer: A) The graph of g(x) is shrunk vertically by a factor of 1/9

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8 0
3 years ago
Round 299 to the nearest hundred. Enter your answer in the box below.
Troyanec [42]

Answer:

300

Step-by-step explanation:

hundreds  tens  ones

2                   9      9

We look at the tens

It is 5 or higher so we round up the hundreds place

2 becomes 3

300

7 0
3 years ago
Read 2 more answers
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