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For your vegetable garden, you plan to plant 5 12 of it in corn, 1 6 in different kinds of beans, and 1 12 in tomatoes. You will

Ymorist [56]

Answer:

$\frac{2}{9}$ part of the garden will be planted in onions and squash combined.

Step-by-step explanation:

Given:

For your vegetable garden, you plan to plant 5 12 of it in corn, 1 6 in different kinds of beans, and 1 12 in tomatoes.

You will plant the remainder equally in eggplant, onions, and squash.

Now, to find the part of garden that will be planted in onions and squash combined.

Part of garden plan for planting corn = $\frac{5}{12}$

Part of garden plan for planting kinds of bean = $\frac{1}{6}$

Part of garden plan for planting tomatoes = $\frac{1}{12}$

So, adding all the parts of corn, beans and tomatoes:

$\frac{5}{12}+\frac{1}{6} +\frac{1}{12} \\\\=\frac{5+2+1}{12} \\\\=\frac{8}{12}$

Now, to get the rest of the parts of garden use to plant eggplant, onions, and squash we subtract $\frac{8}{12}$ from 1 whole:

$1-\frac{8}{12} \\\\=\frac{12-8}{12} \\\\=\frac{4}{12}$

As, given planting the remainder equally in eggplant, onions, and squash.

So, each will be planted in part of:

$\frac{4}{12} \div 3$

$=\frac{4}{12}\times \frac{1}{3}$

$=\frac{4}{36}$

On simplifying it:

$=\frac{1}{9}$ .

Thus, $\frac{1}{9}$ part of the garden for each eggplant, onions, and squash.

Now, to get the part of the garden will be planted in onions and squash combined we add $\frac{1}{9}$ part of garden planting for onions and $\frac{1}{9}$ of squash:

$\frac{1}{9} +\frac{1}{9} \\\\=\frac{1+1}{9} \\\\=\frac{2}{9}$

Therefore, $\frac{2}{9}$ part of the garden will be planted in onions and squash combined.

6 0

4 years ago

Read 2 more answers

X-12y=-210 and x-6=90

m_a_m_a [10]

Answer:

x = -30

y = -20

Step-by-step explanation:

x - 12y = 210..... (I)

x - 6y = 90..... (II)

Subtract equation (II) from (I)

- 12y - (-6y) = 210 - 90

-12y + 6y = 120

-6y = 120

Divide through by -6y

Therefore, y = -20

Substitute y = -20 in equation (II)

x -6 (-20) = 90

x + 120 = 90

x = 90 - 120

x = -30

Hope that helped

7 0

3 years ago

The volume of wine in liters produced by a parcel of vineyard every year is modeled by a Gaussian distribution with an average o

saul85 [17]

Answer:

0.99865

Step-by-step explanation:

The question above is modelled by gaussian distribution. Gaussian distribution is also known as Normal distribution.

To solve the above question, we would be using the z score formula

The formula for calculating a z-score

z = (x-μ)/σ,

where x is the raw score

μ is the population mean

σ is the population standard deviation.

In the above question,

x is 115 liters

μ is 100

σ is the population standard deviation is unknown. But we were given variance in the question.

Standard deviation = √Variance

Variance = 9

Hence, Standard deviation = √9 = 3

We go ahead to calculate our z score

z = (x-μ)/σ

z = (115 - 100) / 3

z = 15/ 3

z score = 5

Using the z score table of normal distribution to find the Probability of having a z score of 5

P(x = 115) = P(z = 5) =

0.99865

Therefore the probability that this year it will produce 115 liters of wine = 0.99865

6 0

4 years ago

Sue has 18 sweets.

NARA [144]

Step-by-step explanation:

Find out the expressions for the number of sweets sue and tony have now .

To proof

As given

Sue has 18 sweets. tony has 18 sweets.sue gives tony x sweets

thus

sue sweets = 18 - x

Tony sweets = 18 + x

As given

Sue then eats 5 sweets. Tony then eats half of his sweets

sue sweets becomes = 18 -5 -x

= 13 - x

Tony sweets become= 18 + x /2

= 9+ x/2

hence proved.

Hence proved

5 0

3 years ago

-1.8(5) what’s the product

puteri [66]

The answer is -9 because you have to multiply the two numbers.

8 0

4 years ago

Read 2 more answers