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andrew11 [14]
3 years ago
13

For Emma's lemonade recipe, 9 lemons are required to make 18 cups of lemonade. At what rate are lemons being used in lemons per

cup of lemonade?
Mathematics
1 answer:
grigory [225]3 years ago
7 0

Answer:

1:2

A rate of 1 lemon per two cups of lemonade

Step-by-step explanation:

9 lemons for 18 cups can be seen as:

\frac{9}{18}

Simplify by dividing both numbers by 9:

\frac{9/9}{18/9} =\frac{1}{2}

So, one lemon is used for two cups of lemonade. Half a lemon for 1 cup of lemonade...

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If w = 12 units, x = 7 units, and y = 8 units, what is the surface area of the figure? Figure is composed of a right square pyra
bearhunter [10]

Answer:

720 sq units.

Step-by-step explanation:

Length and width of square prism, w = 12 units

Height of square prism, x = 7 units

Height of square pyramid, y = 8 units

Please have a look at the attached image.

Here 2 Surfaces will not be exposed which are base of the square pyramid and the top of the square prism i.e. 2 square surfaces will not be exposed.

Here, surface area of the composite figure will be:

<em>Surface Area of Composite Figure = Lateral surface area of Square Pyramid + Surface Area of 5 surfaces of the square prism</em>

For finding the lateral surface area of pyramid, we need to find the slant height of the pyramid.

Let slant height be l units.

Using pythagoras theorem, we can find out the value of l.

As per theorem:

Hypotenuse^{2} = Base^{2} + Height^{2}\\

\Rightarrow l^{2} = (\dfrac{w}{2})^{2} + y^{2}\\\Rightarrow l^{2} = (\dfrac{12}{2})^{2} + 8^{2}\\\Rightarrow l^{2} = {6}^{2} + 8^{2}\\\Rightarrow l^{2} = 36+64 =  100\\\Rightarrow l = 10\ units

Lateral surface area of square prism = 4 \times Area of triangular surface

\Rightarrow 4 \times \dfrac{1}{2}\times Base \times Slant\ Height\\\Rightarrow 4 \times \dfrac{1}{2} \times 10 \times 12\\\Rightarrow 240\ sq\ units

Surface Area of 5 surfaces of the square prism =

4 \times x \times w + w^2\\\Rightarrow 4 \times 12 \times 7 + 12^2\\\Rightarrow 336 +144\\\Rightarrow 480\ sq\ units

So, total surface area of composite figure:

240 + 480 = 720 sq units.

7 0
2 years ago
In the binomial probability​ formula, the variable x represents the​ _______. In the binomial probability​ formula, the variable
wolverine [178]

Answer: Option 'A' is correct.

Step-by-step explanation:

In the binomial probability formula, we have

P(X=x)=^nC_xp^{x}q^{n-x}

Here, n = number of events

x = number of trials

p = probability of success

q = probability of failure

x is the number of trials among which we decide the number of successes and number of failures.

So, Option 'A' is correct.

8 0
3 years ago
If f(x) = x/2 -2 and g(x) = 2x+ +x= 3, find (f + g)(x).
notka56 [123]

Answer:

.

.

.❥︎ᴀᴀɴᴋʜ ᴜᴛʜɪ ᴍᴏʜᴀʙʙᴀᴛ ɴᴇ ᴀɴɢᴅᴀɪ ʟɪ ,

.ᴅɪʟ ᴋᴀ sᴀᴜᴅᴀ ʜᴜᴀ ᴄʜᴀɴᴅɴɪ ʀᴀᴀᴛ ᴍᴇ ❣︎

.

.

6 0
3 years ago
Plz chooses one more question because I already answered one
MrMuchimi

Answer:

C and E

sorry for the late answer

<h3>Hope it helps!</h3><h3>Hope it helps!:)</h3>
4 0
3 years ago
Directions: Determine wether the pair of lines are parallel perpendicular or neither
Irina18 [472]

Answer:

13. Neither

14. Parallel

15. Perpendicular

16. Perpendicular

4 0
1 year ago
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