It takes 40 minutes for 8 people to paint 4 walls.

Over the summer, for every 14 Okra seeds Dana planted, 9 plants grew. If he planted 182 seeds, how many grew into plants?

vova2212 [387]

Simple...

you have: For every 14 seeds that Okra seeds Dana planted 9 of them grew; if he planted 182 seeds..how many grew?

Set up an equation...

$\frac{9}{14} = \frac{x}{182}$

Cross multiply....

14*x=14x

9*182=1638

14x=1638

$\frac{14x}{14} = \frac{1638}{14} =117
$

x=117

This means that, for 182 seeds planted, 117 of them grew to be plants.

Thus, your answer.

3 0

3 years ago

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Lucy went to the pet store to buy 17 fish for her aquarium. She bought Fancy Goldfish for $13.49 each and Plecos for $3.25 each.

tatuchka [14]

Step-by-step explanation:

let gold fish= X

let Plecos fish= Y

X +Y = 17................(I)

13.49X + 3.25Y =198.61........(II)

solve simuteniously to get

X = 14

Y = 3.....therefore

she bought 14 gold fish and 3 plecos fish

8 0

2 years ago

The perimeter of a regular pentagon is represented by the expression 35d-25. Daryl correctly wrote expression to represent the o

Triss [41]

Answer:

Each one of the sides is equal to 7d-5

Step-by-step explanation:

A regular pentagon has 5 sides of equal length.

The perimeter of a regular pentagon is given by

P = 5s where s is the side length

35d -25 = 5s

Divide each side by 5

(35d-25)/5 = 5s/5

7d-5 =s

Each one of the sides is equal to 7d-5

6 0

2 years ago

Matt gets paid at home for doing extra chores. Last week, he did 6 loads of laundry and 1

emmasim [6.3K]

Matt earns $4 and $3 for 1 load of laundry and 1 load of dishes respectively

Solution:

Given, Matt gets paid at home for doing extra chores.

We have to find How much does Matt earn for completing each type of chore?

Let the amount for 1 load of laundry be m and amount for 1 load of dish be n.

Now, last week, he did 6 loads of laundry and 1 load of dishes, and his parents paid him $27.

Then, 6 $\times$ amount for 1 load of laundry + 1 $\times$ amount for 1 load of dish = 27

$\rightarrow 6 \mathrm{m}+\mathrm{n}=27 \rightarrow(1)$

The week before, he finished 1 load of laundry and 9 loads of dishes, earning a total of $31

Then, 1 $\times$ amount for 1 load of laundry + 9 $\times$ amount for 1 load of laundry = 31 ⇒m + 9n = 31 ⇒ (2)

Now let us solve equations (1) and (2)

0 – 53n = - 159

-53n = -159

53n = 159

n = 3

Now, substitute n value in (1) ⇒ 6m + 3 = 27 ⇒ 6m = 24 ⇒ m = 4

Hence, matt earns $4 and $3 for 1 load of laundry and 1 load of dishes respectively.

8 0

3 years ago

Lynn is trying to determine how far away Student B is from the balloon. He decides to use the

kaheart [24]

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete as the image that illustrates the scenario is not given.

However, I can deduce that the question is about a right-angled triangle.

So, I will give a general explanation on how to find each of the side of the triangle, given a side and an angle.

For triangle A (solve for b)

Using cosine formula.

$\cos \theta = \frac{Adjacent}{Hypotenuse}$

$\cos 60= \frac{5}{b}$

Make b the subject

$b= \frac{5}{\cos 60}$

For triangle B (solve for b)

Using cosine formula.

$\sin \theta = \frac{Opposite}{Hypotenuse}$

$\sin 60= \frac{b}{5}$

Make b the subject

$b = 5\sin 60$

For triangle C (solve for b)

Using cosine formula.

$\tan \theta = \frac{Opposite}{Adjacent}$

$\tan 60= \frac{b}{5}$

Make b the subject

$b = 5\tan 60$

3 0

2 years ago

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