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kaheart
2 months ago
12

Matthew bought flowers for his mom. he bought 12 flowers that were a combination of roses and lilies. the roses cost $1.75 each

and the lilies cost $2.00 each. he spent $21.75. how many of each flower did he buy?
Mathematics
2 answers:
Leona [12.6K]2 months ago
8 0
The accurate solution is 9 roses along with 3 lilies.
Inessa [12.5K]2 months ago
5 0
To tackle this issue, follow the outlined procedure: 1. Designate variables: let’s say x is the count of roses and y represents the number of lilies. 2. Construct a system of equations based on the provided details in the problem statement above. 3. Utilize substitution method: first, resolve for x in the second equation, substitute it into the first equation, then solve for y. 4. Next, substitute y=3 back into the second equation. Consequently, the answer will be: 9 roses and 3 lilies.
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If speed varies inversely as the time it takes to drive and Kris takes 5 hours driving at 55 mph, what speed will Martin need to
AnnZ [12381]

Response:

55 mph. All options are incorrect.

Detailed explanation:

When speed changes inversely with the time taken, it can be expressed as v ∝ 1/t, where:

v represents speed,

t refers to the time taken.

This leads to;

v = k/t, with k being a constant of proportionality.

Given that Kris takes 5 hours traveling at 55 mph, we replace v with 55 mph and t with 5 hours in the equation to find k as follows:

55 = k/5

Cross-multiplying yields:

k = 55 * 5

k = 275

To determine the speed Martin needs to drive for 5 hours, we substitute k = 275 and t = 5 back into the original equation v = k/t as follows:

v = 275/5

v = 55 mph

Thus, we conclude that in order to travel for 5 hours, Martin must also drive at 55 mph.

3 0
1 month ago
The water pressure on Mustafa as he dives is increasing at a rate of 0.9920.9920, point, 992 atmospheres (\text{atm})(atm)left p
babunello [11817]
This issue involves a basic dimensional analysis. We are required to express the rate of 0.992 atm/m in the unit of atm/km.

In straightforward terms, dimensional analysis means converting a measurement into a different unit using conversion factors.

For this case, the necessary steps are:

\frac{0.992 atm}{m}= \frac{1000m}{1km} = \frac{992atm}{km}

We observe that 1000 meters = 1 kilometer was used as the conversion factor to change atm/m into atm/km. Consequently, we conclude with the answer 992 atm/km.
8 0
3 months ago
Read 2 more answers
D = 5x + 10xf solve literal equation for x
Leona [12618]

Answer:

x=\dfrac{d}{(5+10f)}

Step-by-step explanation:

The equation provided is:

d = 5x + 10xf

We need to isolate x from this equation.

Factoring out x from the right side gives us,

d=x(5+10f)

To find x, divide both sides by (5+10f),

x=\dfrac{d}{(5+10f)}

Thus, this represents the sought value for x.

4 0
3 months ago
If rs 500 amounts to Rs 725 at 9% simple interest in sometime ,what will Rs 600amount to at 11% in same time?
AnnZ [12381]

Answer:

Rs\ 930

Step-by-step explanation:

The formula for calculating simple interest is

A=P(1+rt)

Here,

A refers to the Total Amount of Investment

P denotes the Initial Investment

r indicates the interest rate 

t represents the duration in time periods

step 1

Determine the duration t

For this scenario, we have

t=?\ years\\ P=Rs\ 500\\ A=Rs\ 725\\r=0.09

Plugging into the formula above and solving for t

725=500(1+0.09t)

t=[(725/500)-1]/0.09

t=5\ years

step 2

What will Rs 600 grow to at 11% over the same duration?

We have

t=5\ years\\ P=Rs\ 600\\ A=?\\r=0.11

Insert into the formula

A=600(1+0.11*5)

A=600(1.55)

A=Rs\ 930

6 0
3 months ago
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