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3 years ago

Zen Garden Café uses 9

Mathematics

1 answer:

anyanavicka [17]3 years ago

5 0

72g of tea .

Working:

9:36
X=288

Cross multiply :
36x= 288/9
= 36x= 2592
= 2592/36 = 72

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A cone has a height of 4 in and a radius of 6 in. What is the volume of the cone?

MatroZZZ [7]

Answer:

48π in³

Step-by-step explanation:

$V=\frac{1}{3} \pi r^2h$

Plug in the radius 6 in and the height 4 in

$V=\frac{1}{3} \pi (6)^2(4)\\V=\frac{1}{3} \pi (36)(4)\\V=\frac{1}{3} \pi (144)\\V=48\pi$

Therefore, the volume of the cone is 48π in³.

I hope this helps!

3 0

2 years ago

Point E is the midpoint of AB and point F is the midpoint

GREYUIT [131]

The options are;

1) AB is bisected by CD

2) CD is bisected by AB

3) AE = 1/2 AB

4) EF = 1/2 ED

5) FD= EB

6) CE + EF = FD

Answer:

Options 1, 3 & 6 are correct

Step-by-step explanation:

We are told that Point E is the midpoint of AB. Thus, any line that passes through point E will bisect AB into two equal parts.

The only line passing through point E is line CD.

Thus, we can say that line AB is bisected by pine CD. - - - (1)

Also, since E is midpoint of Line AB, it means that;

AE = EB

Thus, AE = EB = ½AB - - - (2)

Also, we are told that F is the mid-point of CD.

Thus;

CF = FD

Point E lies between C and F.

Thus;

CE + EF = CF

Since CF =FD

Thus;

CE + EF = FD - - - (3)

5 0

3 years ago

The Art and History Museum offers a family discount card for a donation of $57. I The table shows the price per person with and

Murljashka [212]

Answer:

8 number of visits will be the total cost of the visits (including the price of the discount card) be less expensive for a family of 2 adults and 1 child if they have purchased the discount card

Step-by-step explanation:

Price without Discount Card Price with Discount Card

Ticket (12 & Under) $10 $8

Adult's Ticket $15 $12

Let x be the number of visits

Price without discount card for 2 adults and 1 child ticket

Price without discount for x visits = $x(15 \times 2+ 10)=40x$

Price with discount for x visits = $57+ x(12 \times 2+ 8)=57+32x$

Now to find For what number of visits will the total cost of the visits (including the price of the discount card) be less expensive for a family of 2 adults and 1 child if they have purchased the discount card

57+32x< 40x

57<8x

7.1<x

So, 8 number of visits will be the total cost of the visits (including the price of the discount card) be less expensive for a family of 2 adults and 1 child if they have purchased the discount card

8 0

3 years ago

Find all solutions of the given system of equations (If the system is infinite many solution, express your answer in terms of x)

lisov135 [29]

Answer:

(a) The system of the equations $\left \{ {2x-3y\:=3} \atop {4x-6y\:=3}} \right.$ has no solution.