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3 years ago

7

It is recommended that there be at least 15.9 square feet of ground space in a garden for every newly planted shrub. A garden is

37.1 feet by 15 feet. Find the maximum number of shrubs the garden can accommodate.

1 answer:

Helen [10]3 years ago

4 0

The total area of the garden is 37.1 ft x 15 ft = 556.5 sq. ft. It is safe to assume that the area of each shrub is 15.9 sq. ft. The number of shrubs can be calculated by dividing the total area of the garden by the area of each shrub: 556.5 sq. ft. / 15.9 sq. ft. = 35 shrubs.

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tatuchka [14]

The candle would burn for 18 hours.

45 / 15 = 3

If the candle is three times longer than normal, it will burn three times longer than normal.

3 x 6 = 18

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3 years ago

What is the ratio of 5:3

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5:3

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3 years ago

An egg carton holds 12 eggs. A breakfast buffet uses 96 eggs by 8am. When the buffet ends at 10:30, a total of 156 eggs were use

Kaylis [27]

Answer:

5 cartons of eggs were used.

Step-by-step explanation:

Since there are a total of 156 eggs used, and 96 were already used, you subtract 156 - 96 = 60. Since there 12 eggs in each carton, you divide 60 by 12 to get 5.

4 0

3 years ago

Clare made $160 babysitting last summer. She put the money in a savings account that pays 3% interest per year. If clare doesn't

AVprozaik [17]

We have been given that Clare made $160 babysitting last summer. She put the money in a savings account that pays 3% interest per year. If Clare doesn't touch the money in her account, she can find the amount she'll have the next year by multiplying her current amount 1.03.

We are asked to write an expression for the amount of money Clare would have after 30 years if she never withdraws money from her account.

We will use exponential growth function to solve our given problem.

An exponential growth function is in form $y=a(1+r)^x$ , where

y = Final value,

a = Initial value,

r = Growth rate in decimal form,

x = Time.

$3\%=\frac{3}{100}=0.03$

We can see that initial value is $160. Upon substituting our given values in above formula, we will get:

$y=160(1+0.03)^x$

$y=160(1.03)^x$

To find amount of money in Clare's account after 30 years, we need to substitute $x=30$ in our equation.

$y=160(1.03)^{30}$

Therefore, the expression $160(1.03)^{30}$ represents the amount of money that Clare would have after 30 years.

8 0

3 years ago

Cynthia Besch wants to buy a rug for a room that is 1919 ft wide and 2727 ft long. She wants to leave a uniform strip of floor a

yulyashka [42]

Answer:

The dimension of the rug would be 17 ft × 9 ft.

Step-by-step explanation:

Given

length of the room = 27 ft.

width of the room = 19 ft.

suppose, she leaves a uniform strip of x ft. around the rug.

So,

The length of rug = (27-2x)ft.

Width of rug= (19-2x)ft.

∴ Area of the rug= length×width

$= (27-2x)(19-2x)$

$= 513-54x-38x+4x^2$

$= 513-92x+4x^2$

According to the question,

$513-92x+4x^2=153$

$513-92x+4x^2-153=0$ ( subtract 153 both sides)

$4x^2-92x+360=0$

$4(x^2-23x+90)=0$

$x^2-23x+90=0$

$x^2-(18+5)x+90=0$ ( Middle term splitting)

$x^2-18x-5x+90=0$

$x(x-18)-5(x-18)=0$

$(x-5)(x-18)=0$

$x-5=0$ or $x-18=0$ ( zero product property)

$x=5$ or $x=18$

if x=18, dimension would be negative ( Not possible)

Thus, x= 5

Hence,

length of rug= 27-10=17 ft.

width of rug= 19-10=9 ft.

8 0

3 years ago