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3 years ago

Frank is going to plant y vegetable seeds in one garden and 2y + 10 vegetable seeds in another.

Mathematics

1 answer:

Sholpan [36]3 years ago

3 0

Answer:

$3y + 10$

Step-by-step explanation:

The total number of seeds Frank will plant in both gardens all together would be:

$y + 2y + 10$

Add like terms together to simplify the expression

$3y + 10$

Frank is going to plant $3y + 10$ seeds

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An above swimming pool is leaking after 1/2 hour the pool has leaked 7/8 of a gallon of water

Luden [163]

The answer to your question are <span>1.75</span>

8 0

3 years ago

Translate this verbal expression into an algebraic equation and solve: thirteen less than twice the sum of a number and six is 4

Vesna [10]

Answer:

Please check the explanation.

Step-by-step explanation:

Given the verbal expression

''Thirteen less than twice the sum of a number and six is 47''.

Let us break down the verbal expression into an algebraic equation

Let the number be = n

Twice the number n = 2n

Sum of twice the number and six = 2n+6

Thirteen less than twice the sum of a number and six = 2n+6-13

And finally

Thirteen less than twice the sum of a number and six is 47:

2n+6-13 = 47

Therefore, the equation is: $2n+6-13 = 47$

Solving the algebraic expression

solving the equation for 'n'

$2n+6-13 = 47$

$2n-7=47$

Add 7 to both sides

$2n-7+7=47+7$

Simplify

$2n=54$

Divide both sides by 2

$\frac{2n}{2}=\frac{54}{2}$

Simplify

$n=27$

7 0

3 years ago

YES I Am GIVING A BRAINLIST pls be accurate

CaHeK987 [17]

Answer:

y = 5x +4

Step-by-step explanation:

x has to equal 1

y = 5(1) +4 = 9

8 0

3 years ago

In how many ways can 7 persons be arranged in a line such that (a) two particular persons are never together.

ivanzaharov [21]

Answer:

3600 ways

Step-by-step explanation:

person A has 7 places to choose from :

→ He has 2 places ,one to the extreme left of the line ,the other to the extreme right of the line

If he chose one of those two ,person B will have 5 choices and the other 5 persons will have 5! Choices.

⇒ number of arrangements = 2×5×5! = 1 200

→ But Person A also , can choose one of the 5 places in between the two extremes .

If he chose one of those 5 ,person B will have 4 choices and the other 5 persons wil have 5! Choices.

⇒ number of arrangements = 5×4×5! = 2 400

In Total they can be arranged in :

1200 + 2400 = 3600 ways

3 0

2 years ago

I built a storage shed in the shape of a rectangular box on a square base. The material that I used for the base cost $4 per squ

kumpel [21]

Answer:

side of 6.124 ft and height of 3.674 ft

Step-by-step explanation:

Let's s be the side of the square base and h be the height of the rectangular box.

The base and the roof would have an area of $s^2$ and cost of

$4s^2 + 2s^2 = 6s^2$

The sides would have an area of 4sh and cost of 4sh*2.5 = 10sh

So the total cost for the material is

$6s^2 + 10sh = 450$

$10sh = 450 - 6s^2$

$h = 45/s - 0.6s$

The volume of the shed has the following formula

$V = s^2h = s^2(45/s - 0.6s) = 45s - 0.6s^3$

To find the maximum value for V, we can take its first derivative, and set it to 0

$\frac{dV}{ds} = 45 - 1.2s^2 = 0$

$1.2s^2 = 45$

$s^2 = 45 / 1.2 = 37.5$

$s = \sqrt{37.5} = 6.124 ft$

h = 45/s - 0.6s = 3.674 ft

4 0

4 years ago