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3 years ago

In a vegetable garden 1/4 of the plants are peppers. 1/3 are yellow peppers. What fraction of the plants are yellow peppers?

Mathematics

1 answer:

yarga [219]3 years ago

6 0

Answer:

1/12

Step-by-step explanation:

1/4 x 1/3 = 1/12 so you are correct

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After the fine arts booster club's soup supper, there were 120 pieces of pie left over. The leftover pie was distributed equally

Ne4ueva [31]

Answer: Your answer is 12

Step-by-step explanation:

120/(6+4)=X

120/10=X

120/10=12

12=X

8 0

3 years ago

What is the equation of the function in slope-intercept form?

Rasek [7]

To write this equation, you need use the formula y=mx+b.

m represents the slope and b represents the y intercept.

The y intercept is the point where the line touches the y axis. In this case, the y-intercept is 1.

The slope is just rise over run from one coordinate to another. The slope is 2/-1 which could be simplified as -2. The slope just means that we are going up 2 and left 1 to get to a new coordinate.

The equation is y=-2x+1

Have a good day! :)

7 0

2 years ago

Need number 2 please!!

valentina_108 [34]

Answer:

Step-by-step explanation:

note that i = $\sqrt{-1}$

given

- 1 + 2i $\sqrt{3}$

= - 1 + $\sqrt{2^2(-1)3}$

= - 1 + $\sqrt{-12}$

6 0

2 years ago

A pyramid has a square base of length 8cm and a total surface area of 144cm². Find the volume of the pyramid. (Please use Pythag

Sveta_85 [38]

Answer:

$\displaystyle V_{ \text{pyramid}}= 64 \: {cm}^{3}$

Step-by-step explanation:

we are given surface area and the length of the square base

we want to figure out the Volume

to do so

we need to figure out slant length first

recall the formula of surface area

$\displaystyle A_{\text{surface}}=B+\dfrac{1}{2}\times P \times s$

where B stands for Base area

and P for Base Parimeter

$\sf\displaystyle \: 144=(8 \times 8)+\dfrac{1}{2}\times (8 \times 4) \times s$

now we need our algebraic skills to figure out s

simplify parentheses:

$\sf\displaystyle \: 64+\dfrac{1}{2}\times32\times s = 144$

reduce fraction:

$\sf\displaystyle \: 64+\dfrac{1}{ \cancel{ \: 2}}\times \cancel{32} \: ^{16} \times s = 144 \\ 64 + 16 \times s = 144$

simplify multiplication:

$\displaystyle \: 16s + 64 = 144$

cancel 64 from both sides;

$\displaystyle \: 16s = 80$

divide both sides by 16:

$\displaystyle \: \therefore \: s = 5$

now we'll use Pythagoras theorem to figure out height

according to the theorem

$\displaystyle \: {h}^{2} + (\frac{l}{2} {)}^{2} = {s}^{2}$

substitute the value of l and s:

$\displaystyle \: {h}^{2} + (\frac{8}{2} {)}^{2} = {5}^{2}$

simplify parentheses:

$\displaystyle \: {h}^{2} + (4 {)}^{2} = {5}^{2}$

simplify squares:

$\displaystyle \: {h}^{2} + 16 = 25$

cancel 16 from both sides:

$\displaystyle \: {h}^{2} = 9$

square root both sides:

$\displaystyle \: \therefore \: {h}^{} = 3$

recall the formula of a square pyramid

$\displaystyle V_{pyramid}=\dfrac{1}{3}\times A\times h$

where A stands for Base area (l²)

substitute the value of h and l:

$\sf\displaystyle V_{ \text{pyramid}}=\dfrac{1}{3}\times \{8 \times 8 \}\times 3$

simplify multiplication:

$\sf\displaystyle V_{ \text{pyramid}}=\dfrac{1}{3}\times 64\times 3$

reduce fraction:

$\sf\displaystyle V_{ \text{pyramid}}=\dfrac{1}{ \cancel{ 3 \: }}\times 64\times \cancel{ \: 3}$

hence,

$\sf\displaystyle V_{ \text{pyramid}}= 64 \: {cm}^{3}$

8 0

2 years ago

What is 2/5% of 820? 1.8 2.05 2.88 3.28

Margarita [4]

Answer:

D) 3.28

Step-by-step explanation:

820/x=100/2.5

(820/x)*x=(100/2.5)*x - we multiply both sides of the equation by x

820=40*x - we divide both sides of the equation by (40) to get x

820/40=x

20.5=x

x=20.5

now we have:

2.5% of 820=20.5

6 0

2 years ago