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Assoli18 [71]
3 years ago
10

Fiona is serving iced tea and lemonade at a picnic. She has only 44 cups in which to serve the drinks. If x represents the numbe

r of glasses of iced tea and y represents the number of glasses of lemonade, which equation represents the number of glasses of iced tea she can serve?
Mathematics
2 answers:
Arada [10]3 years ago
4 0
X = 44 - y

will compute the number of glasses of tea Fiona can serve based on the number of cups used for lemonade.
Tomtit [17]3 years ago
4 0

Answer:

x=44-y

Step-by-step explanation:

Let x represents the number of glasses of iced tea .

Let y represents the number of glasses of lemonade.

Now we are given that She has only 44 cups in which to serve the drinks

Since y is the number of glasses of  lemonade out of 44 glasses

So, remaining glasses = 44-y

So, remaining glasses is for iced tea .

So, No. of iced tea glasses =  x=44-y

Hence She can serve x=44-y number of glasses of iced tea serve.

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What is the value of f(x) = 9x when x = -2?
zepelin [54]
F(x)=9x
f(X)=9(-2)
f(x)= -18
8 0
3 years ago
Find area of the shaded region.
Monica [59]

Answer:

The area of the shaded region is about 38.1 square centimeters.

Step-by-step explanation:

We want to find the area of the shaded region.

To do so, we can first find the area of the sector and then subtract the area of the triangle from the sector.

The given circle has a radius of 6 cm.

And the given sector has a central angle of 150°.

The area for a sector is given by the formula:

\displaystyle A=\pi r^2\cdot \frac{\theta}{360^\circ}

In this case, r = 6 and θ = 150°. Hence, the area of the sector is:

\displaystyle \begin{aligned}A&=\pi(6)^2\cdot \frac{150}{360}\\ &=36\pi\cdot \frac{5}{12}\\&=3\pi \cdot 5\\&=15\pi \text{ cm}^2\end{aligned}

Now, we can find the area of the triangle. We can use an alternative formula:

\displaystyle A=\frac{1}{2}ab\sin(C)

Where a and b are the side lengths, and C is the angle between them.

Both side lengths of the triangle are the radii of the circle. So, both side lengths are 6.

And the angle C is 150°. Hence, the area of the triangle is:

\displaystyle A=\frac{1}{2}(6)(6)\sin(150)=18\sin(150)

The area of the shaded region is equivalent to the sector minus the triangle:

A_{\text{shaded}}=A_{\text{sector}}-A_{\text{triangle}}

Therefore:

A_{\text{shaded}}=15\pi -18\sin(150)

Use a calculator:

A_{\text{shaded}}=38.1238...\approx 38.1\text{ cm}^2

The area of the shaded region is about 38.1 square centimeters.

6 0
3 years ago
By what percent will the product of two numbers change, if the first number increases by 70%, while the second number decreases
erica [24]

Answer:

The product of two numbers changes by 2% when the first number increases by 70%, while the second number decreases by 40%.

Step-by-step explanation:

Let first number be x and second number be y .

Then product of x and y = xy  ......(1)

Given the first number increases by 70%, while the second number decreases by 40% this means,

x is increased  by 70%  that is

increased value of x = x + 0.7(x) = 1.7 x

Similarly y is decreases by 40% that is

decreased value of y = y - 0.4(y) = 0.6y

New product will be = (increased value of x )( decreased value of y)

                                  = (1.7x)(0.6y)

                                  =1.02xy

Changed Percentage = \dfrac{\text{new value - original value}}{{\text{original value}}}\times 100

Substitute the values, we get,

Changed Percentage = \frac{1.02xy-xy}{xy}\times 100

Changed Percentage = \frac{0.02xy}{xy}\times 100

Changed Percentage = 0.02\times 100

Changed Percentage = 2\%

Thus, the product of two numbers changes by 2% when the first number increases by 70%, while the second number decreases by 40%.

5 0
4 years ago
PLEASE HELP FAST 50 POINTS!!
Pepsi [2]

Answer:

edit: adjacent angles

Step-by-step explanation:

hope this helps

5 0
3 years ago
Read 2 more answers
Please help me with this and show work! <3
Gnoma [55]
Answer: y = 4

Why: look at the picture

4 0
3 years ago
Read 2 more answers
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