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Nimfa-mama [501]
1 year ago
10

At Home Depot, Johnny bought 3 rose bushes and 7 flats of petunias for a total of $114.75. Rosie bought 2 rose bushes and 6 flat

s of petunias for a total of $89.50. How much does a rose bush cost? How much does a flat of petunias cost?
Mathematics
1 answer:
Elan Coil [88]1 year ago
4 0

Answer:

a rose bush cost $15.5 , a flat of petunias cost $9.75

Step-by-step explanation:

Let $x be the cost of rose bush and $y be the cost of a flat of petunias cost

3x + 7y = 114.75

2x + 6y = 89.5

x = 31/2 , y = 39/4

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Write an equation to find the amount of money in Pertro’s account if the total of all their accounts is $148.
SSSSS [86.1K]

Answer:

P = 2(21 + 3)

= 2(24)

=$48

Step-by-step explanation:

Add them all up.

s + 2(s+3) + 4s-5 = 148

s + 2s + 6 + 4s - 5 = 148

Group all s together and all numbers together 7s + 1 = 148

7s = 147

Divide by 7

s = 21

Plug s=21 back in for Petro

6 0
2 years ago
Read 2 more answers
When it was 70 degrees outside, 50 members showed up at the beach club. for each degree temperature rose, another 10 members cam
stellarik [79]

Answer:

f(t)=50+10(t-70)

Step-by-step explanation:

Let the outside temperature be t degree.

So, when t=70 degree, number of members, f(t)=50

Now, for every degree rise in temperature, 10 members gets added.

So, when the temperature is t degrees, rise in temperature is (t-70) degrees.

Therefore,

For (t-70) degrees rise, number of members added = 10(t-70)

Hence, total number of members added as a function of temperature is given as the sum of members at t= 70 degrees and for (t-70) degrees rise. This gives,

f(t)=50+10(t-70)

8 0
2 years ago
Which of the following are one-dimensional and have infinite length?
Alona [7]
Out of the choices, the entities with only one dimension and have infinite length are the line and ray. The line extends to both sides while the ray is restricted by an endpoint on one side but can extend infinitely to the other side. The answers are therefore letter D and F. 
4 0
2 years ago
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A furniture company is producing three types of furniture. Product A requires 7 board feet of wood and 4 lbs of wicker. Product
denis23 [38]

Given:

Product A requires 7 board feet of wood and 4 lbs of wicker.

Product B requires 5 board feet of wood and 5 lbs of wicker.

Product C requires 4 board feet of wood and 3 lbs of wicker.

Available wood = 3000 board feet

Available wicker = 1400 lbs

Profit margin of A = $35 per unit

Profit margin of B = $42 per unit

Profit margin of C = $20 per unit

To find:

The linear programming problem for given situation.

Solution:

Let the number of units produced of products A, B and C are x, y and z respectively.

                                Product A       Product B           Product C      Total

Board feet of wood       7                       5                       4               3000

wicker                            4                       5                        3               1400

Objective function: Maximize z=35x+42y+20z

s.t.,

Board feet of wood  : 7x+5y+4x\leq 3000

Wicker : 4x+5y+3x\leq 1400

Number of units  cannot be negative. So, x,y,z\geq 0.

Therefore, the required LPP is

Maximize z=35x+42y+20z

s.t.,

7x+5y+4x\leq 3000

4x+5y+3x\leq 1400

x,y,z\geq 0

5 0
2 years ago
Translate the following into an algebraic expression: If it would take Mark m hours to clean the house alone and with his brothe
umka2103 [35]

Answer:

t=m

Step-by-step explanation:

6 0
2 years ago
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