A flower shop sells tulips and roses. The price of each tulip is the same, and the price of each rose is the same. One customer bought 7 tulips and 9 roses for $25.90. Another customer bought 4 tulips and 8 roses for $19.80. How much will it cost a customer to buy 5 tulips and 6 roses?

Answers

Answer 1
Answer:

You can use system of linear equations to find the solution.

The  cost to customer to buy 5 tulips and 6 roses will be $17.75

Given that:

  • The price of all tulips are same.
  • The price of all roses are same.
  • Price of 7 tulips and 9 roses is $25.90
  • Price of 4 tulips and 8 roses is $19.80

To find:

Cost of buying 5 tulips and 6 roses.

Naming the prices:

  • Let price of one tulip be $x
  • Let price of one rose be $y

Forming system of equations:

By given data, we have:

7 tulip + 9 roses costs $25.90

or

7x + 9y = 25.9

And

4 tulips + 8 roses costs $19.8

or

4x + 8y = 19.8

Thus, we have two equations.

Using method of substitution:

From equation first, we have:

7x + 9y = 25.9\n\nx = (25.9-9y)/(7)

Substituting this value in second equation, we get:

4((25.9 - 9y)/(7)) + 8y = 19.8\n\n103.6 - 36y + 56y = 138.6\n20y  = 138.6 - 103.6\n\ny = (35)/(20) = 1.75\n

Thus, we have:

x = (25.9-9y)/(7) \n\nx = (25.9 - 15.75)/(7) = 1.45

Thus, the price of a tulip = x = $1.45

and the price of a rose = y = $1.75

Now, calculating price of 5 tulips and 6 roses:

\: \rm Total \:  Cost = 5x + 6y = 5 * 1.45 + 6 * 1.75 = \$17.75

Thus, the cost to a customer who buys 5 tulips and 6 roses would be $17.75

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Answer 2
Answer:

It will cost a customer $17.75 to buy 5 tulips and 6 roses.

Step-by-step explanation:

Let,

Cost of one tulip = x

Cost of one rose = y

According to given statement;

7x+9y=25.90       Eqn 1

4x+8y=19.80       Eqn 2

Multiplying Eqn 1 by 4

4(7x+9y=25.90)\n28x+36y=103.60\ \ \ Eqn\ 3

Multiplying Eqn 2 by 7

7(4x+8y=19.80)\n28x+56y=138.60\ \ \ Eqn\ 4\n

Subtracting Eqn 3 from Eqn 4

(28x+56y)-(28x+36y)=138.60-103.60\n28x+56y-28x-36y=35\n20y=35

Dividing both sides by 20

(20y)/(20)=(35)/(20)\ny=1.75

Putting y=1.75 in Eqn 1

7x+9(1.75)=25.90\n7x+15.75=25.90\n7x=25.90-15.75\n7x=10.15

Dividing both sides by 7

(7x)/(7)=(10.15)/(7)\nx=1.45

Cost of 5 tulips and 6 roses = 5x+6y = 5(1.45)+6(1.75) = 7.25+10.50 = $17.75

It will cost a customer $17.75 to buy 5 tulips and 6 roses.

Keywords: linear equation, elimination method

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What would happen if all plants had the same kind of roots? Please give more than one detail.

Answers

If all plants had the same kind of roots, it would impact their ability to access nutrients, water, and support, leading to ecological imbalances and reduced biodiversity.

Plants possess various types of roots suited to their specific habitats and requirements. These roots serve essential functions such as anchoring the plant, absorbing water and minerals from the soil, and storing energy. If all plants had identical roots, several significant issues would arise.

1. Nutrient Competition: Different plants thrive in different soil conditions. Some have shallow roots to capture nutrients from the topsoil, while others develop deep taproots to access nutrients in deeper layers. If all plants had the same type of roots, they would compete intensely for the same resources, resulting in imbalanced nutrient depletion and decreased soil fertility.

2. Water Scarcity: Plants adapted to different environments have unique root structures that help them survive varying water availability. With uniform root systems, some plants might struggle to obtain sufficient water in arid regions, while others might face waterlogging in wet areas, ultimately affecting their growth and survival.

3. Ecosystem Disruption: Biodiversity relies on the diversity of plant species, each contributing to the stability of an ecosystem. Uniform root systems would lead to a reduction in plant diversity, impacting the overall ecosystem. Animals, insects, and microorganisms that depend on specific plants for food and habitat would also suffer, triggering a ripple effect throughout the food chain.

4. Soil Erosion: Plants with diverse root structures help prevent soil erosion by binding the soil together. If all plants had the same roots, soil erosion could increase, negatively impacting soil health, water quality, and the stability of landscapes.

5. Adaptation and Evolution: Variation in root systems has evolved over time to help plants adapt to their environments. A single type of root would hinder plants' ability to survive changes in climate, soil conditions, and other ecological factors.

In conclusion, the diversity of root systems among plants is essential for maintaining healthy ecosystems, preventing resource competition, and ensuring the long-term survival of various plant species.

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Answer:

all of the plant would die out

Step-by-step explanation:

so you know how a cactus has very long roots so that it can reach the water in the desert. And a dandelion has short roots because it rains often in its habitat. so if all plants had the dandelion's roots, the cactus would die because it needs longer roots then the dandelion does.

Which segment of the graph shows lisa returning home ?

Answers

The answer is D.

Take a look at the x-axis and the y-axis. In the x-axis, we see "time," and in the y-axis, we see "distance from Lisa's house." Since Lisa is returning home, the distance should be shorter (negative), and D. is the one the most "negative" (I would say) in the graph. Plus, it's the latest in time. Since she left home from a trip and returned, D. would be logically correct to say that she's closer to home.

Which has the greater magnitude ( use absolute value to defend your answer) 33 dollars -52 dollars

Answers

the absolute value of -a  is a:-
 
its written as |-a| = a

so absolute value of -52  is 52

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The distance from a driveway to the closest house is 12,672 feet. How far is that in miles?A) 2.2 miles
B) 2.4 miles
C) 4.2 miles
D) 12 miles

Answers

The answer is B.2.4 miles
The distance is 2.4 Miles

What is FOIL and PEMDAS?

Answers

FOIL and PEMDAS are both ways to solve mathematical equations.

FOIL
First
Outside
Inside
Last

PEMDAS
Parenthesis
Exponents
Multiplication &
Division
Addition &
Subtraction


FOIL is usually used to solve equations in two sets of parenthesis, for example:
(23+x)(5-4x)

PEMDAS is used to solve multiple-operation equations, such as:
5 x 4 + 6 - 2 x 7

Whew, hope this helped :D
Foil - prevent from succeeding
Pemdas - It is a method used my mathematics students to remember operations

1/2+3/5 for math and idk what it is

Answers

1.1 is the answer for you question