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ad-work [718]
2 years ago
10

It’s spring season once more and Jo wants to grow colourful flowering plants. She decides to make 16 raised flower beds, each me

asuring 1m x 4m x 0.5m.
(i) Calculate the volume of soil required to fill the 16 flower beds.
(ii) If soil is available only in 40 litre bags, how many such bags will she have to buy to make the 16 flower beds?​
Mathematics
1 answer:
Stolb23 [73]2 years ago
3 0

Answer:

(i) 32 cubic meters, (ii) 800

Step-by-step explanation:

(i) 1 x 4 x 0.5 = 2 m3, x 16 = 32

(ii) 1000 litre per m3 = 32,000 litres required divided by 40 = 800 bags.

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Find the slope and y-intercept for the two linear functions. Linear Functions Identify the slope of the line given in the table:
Natalija [7]

ANSWER

See explanation

EXPLANATION

The table contains these two points (-4,-3) and (2,-4.5)

The slope of this line is given by;

m =  \frac{rise}{run}

m =  \frac{ - 4.5 -  - 3}{2 -  - 4}  =  \frac{ -  1.5}{6}

m =  -  \frac{1}{4}

The y-intercept can be obtained by finding the equation of the line in the form:

y = mx + c

We plug in the slope and the point (-4,-3) to find c.

This implies that,

- 3 =  -  \frac{1}{4}  \times  - 4 + c

- 3 = 1 + c

c =  - 3 - 1 =  - 4

Hence the y-intercept is -4.

The given line is

y =  \frac{3}{2} x + 1

This is already in the slope intercept form:

The slope is

m =  \frac{3}{2}

The y-intercept is c=1

5 0
3 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=3%20%5Csqrt%7B2%7D%20%20-%204%20%20%5Cdiv%20%20%5Csqrt%7B3%7D%20%20-%202" id="TexFormula1" tit
ivann1987 [24]
Simplify the following:
(3 sqrt(2) - 4)/(sqrt(3) - 2)

Multiply numerator and denominator of (3 sqrt(2) - 4)/(sqrt(3) - 2) by -1:
-(3 sqrt(2) - 4)/(2 - sqrt(3))

-(3 sqrt(2) - 4) = 4 - 3 sqrt(2):
(4 - 3 sqrt(2))/(2 - sqrt(3))

Multiply numerator and denominator of (4 - 3 sqrt(2))/(2 - sqrt(3)) by sqrt(3) + 2:
((4 - 3 sqrt(2)) (sqrt(3) + 2))/((2 - sqrt(3)) (sqrt(3) + 2))

(2 - sqrt(3)) (sqrt(3) + 2) = 2×2 + 2 sqrt(3) - sqrt(3)×2 - sqrt(3) sqrt(3) = 4 + 2 sqrt(3) - 2 sqrt(3) - 3 = 1:
((4 - 3 sqrt(2)) (sqrt(3) + 2))/1

((4 - 3 sqrt(2)) (sqrt(3) + 2))/1 = (4 - 3 sqrt(2)) (sqrt(3) + 2):
Answer: (4 - 3 sqrt(2)) (sqrt(3) + 2)
4 0
3 years ago
N = {X:X<br>is an odd number, 21&lt;x&lt;3<br>XEN]​
SIZIF [17.4K]
So it’s saying that the following set in roster form: (1) N = (x :x is an odd number, 21< × ≤ 35,×€ N)?

It seems to be that the Roster form would do not do anything but the thing is that this listing would give us the output of a set from this problem.

Your answer would be, N = Set of Odd Numbers such that x is greater than 21 and less than or equal to 35 = {23, 25, 27, 29, 31, 33, 35}.
5 0
2 years ago
Can someone just answer these lol idk what to say .
Crank

Answer:

1.) -11x        2.)-2x

4 0
3 years ago
Read 2 more answers
Cyruer.
Maslowich

Answer:

Hello,

Step-by-step explanation:

Area of the sphere:

S=4*\pi *r^2

Volume of the sphere:

V=\dfrac{4*\pi *r^3}{3}

\dfrac{S}{3} =\dfrac{V}{7} \\\\\dfrac{4*\pi *r^2}{3} =\dfrac{4*\pi *r^3}{3*7} \\\\1=\dfrac{r}{7} \\\\\\r=7\\\\great \ circle: 2*\pi* r=14*\pi\\

Volume=\dfrac{4*\pi *7^3}{3} =\dfrac{1372*\pi }{3} \approx{1436,7550...(cm^3)}

4 0
2 years ago
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