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Kay [80]
1 year ago
15

A concrete patio is 5 2/3 feet wide. And has an area of 36 5/6 square feet. Is the concrete slab long enough to fit a 7 foot pic

nic table without placing a table along the diagonal of the patio? Explain.
Mathematics
1 answer:
matrenka [14]1 year ago
3 0

No.

We know the width is not long enough to lay the picnic table across, as it is only 5 2/3 ft. wide. We can see if the other side is long enough by dividing the product of the two sides by the side we know.

36 5/6 divided by 5 2/3 = 6 1/2 ft. which is not long enough to house a 7 ft. long picnic table without going diagonal.

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Alicia buys a 5 pound bag of rocks for a fish tank. She uses 1 1/8 pounds of small fish bowl. How much is left?
ipn [44]
5-1 and 1/8=
5-1-1/8=
4+1-1-1/8=
4-1+8/8-1/8=
3+7/8=
3 and 7/8 lb left
3 0
1 year ago
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Every morning I take either bus number 5 or bus number 8 to work. Every morning the waiting time for the number 5 is exponential
Simora [160]

Answer

The answer and procedures of the exercise are attached in the following archives.

Step-by-step explanation:

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3 0
2 years ago
A garden supply store sells two types of lawn mowers. The smaller mower costs $249.99 and the larger mower costs $329.99. If 30
Annette [7]

19 small mowers and 11 large mowers are sold

<em><u>Solution:</u></em>

Let "a" be the number of small mowers sold

Let "b" be the number of large mowers sold

Cost of each small mower = $ 249.99

Cost of each large mower = $ 329.99

<em><u>30 total mowers were sold</u></em>

Therefore,

a + b = 30

a = 30 - b ------------- eqn 1

<em><u>The total sales for a given year was $8379.70</u></em>

<em><u>Thus we frame a equation as:</u></em>

number of small mowers sold x Cost of each small mower + number of large mowers sold x Cost of each large mower = 8379.70

a \times 249.99 + b \times 329.99 = 8379.70

249.99a + 329.99b = 8379.70 ---------- eqn 2

<em><u>Let us solve eqn 1 and eqn 2</u></em>

<em><u>Substitute eqn 1 in eqn 2</u></em>

249.99(30 - b) + 329.99b = 8379.70

7499.7 - 249.99b + 329.99b = 8379.70

80b = 8379.70 - 7499.7

80b = 880

Divide both sides by 80

b = 11

<em><u>Substitute b = 11 in eqn 1</u></em>

a = 30 - 11

a = 19

Thus 19 small mowers and 11 large mowers are sold

8 0
2 years ago
Solve the equation. Negative StartFraction 9 Over 15 EndFraction y + StartFraction 3 Over 21 EndFraction = StartFraction 5 Over
mina [271]

Answer:

Step-by-step explanation:

9/15y + 3/21 = 5/15 y - 14/21. Adding 14/21 to both sides we then get 9/15y + 17/21 = 5/15y. Subtracting 5/15y from both sides, we get 4/15y + 17/21 = 0.

Then we get 4/15y = -17/21. Dividing by 4/15 gets us -17/21 * 4/15 = -68/315 = y.

4 0
1 year ago
Read 2 more answers
The population of a species is modeled by the equation p(t)=-t^4+72t^2+225, where t is the number of years. find the approximate
Shtirlitz [24]

Answer:

The approximate number of years until the species is extinct will be 9 years

Step-by-step explanation:

We are given

The population of a species is modeled by the equation

p(t)=-t^4+72t^2+225

where

t is the number of years

we have to find time when species extinct

we know that any species will be extinct only if population of that species becomes 0

so, we can set P(t)=0

and then we can solve for t

p(t)=-t^4+72t^2+225=0

we can factor it

(t^2+3)(t^2-75)=0

(t^2+3)=0

we get t value as imaginary for this equation

(t^2-75)=0

t=\sqrt{75}

t=8.660

So,

the approximate number of years until the species is extinct will be 9 years

8 0
2 years ago
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