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Sloan [31]
3 years ago
5

A neighborhood child is selling lemonade and cookies in front of his house. He has up to 20 cookies available and enough lemonad

e for 50 glasses. The child makes a $1 profit off of each cookie and $0.50 profit off of each glass of lemonade and hopes to make at least $30.
Write a system of inequalities to represent the combination of the number of glasses of lemonade and cookies the child can sell.
Mathematics
1 answer:
prohojiy [21]3 years ago
7 0

Answer:

The child can sell 15 cookies and 30 lemonade glasses, or 10 cookies and 40 glasses of lemonade, etc

Step-by-step explanation:

If the child wants to make $30 and gets $1 per cookie and $0.50 per lemonade glass, he could sell 15 cookies and 30 glasses, 10 cookies and 40 glasses, etc. He has to sell at least 5 cookies, though, as the lemonade is only worth $25.

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Answer:

109

Step-by-step explanation:

99+10=109

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Samantha opened a savings account and deposited $200.00. The account earns 10% interest, compounded monthly. If she wants to use
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200(1.10^1)

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3 years ago
Please answer this question now
Alexeev081 [22]

Answer:

Area = 400.4 m^2

Step-by-step Explanation:

Given:

∆UVW,

m < U = 33°

m < V = 113°

VW = u = 29 m

Required:

Area of ∆UVW

Solution:

Find side length UV using Law of Sines

\frac{u}{sin(U)} = \frac{w}{sin(W)}

U = 33°

u = VW = 29 m

W = 180 - (33+113) = 34°

w = UV = ?

\frac{29}{sin(33)} = \frac{w}{sin(34)}

Cross multiply

29*sin(34) = w*sin(33)

Divide both sides by sin(33) to make w the subject of formula

\frac{29*sin(34)}{sin(33)} = \frac{w*sin(33)}{sin(33)}

\frac{29*sin(34)}{sin(33)} = w

29.77 = w

UV = w = 30 m (rounded to nearest whole number)

Find the area of ∆UVW using the formula,

area = \frac{1}{2}*u*w*sin(V)

= \frac{1}{2}*29*30*sin(113)

= \frac{29*30*sin(113)}{2}

Area = 400.4 m^2 (to nearest tenth).

4 0
3 years ago
Explain how to estimate the quotient using compatible numbers. 27 and two-thirds divided by 3 and StartFraction 9 over 10 EndFra
sladkih [1.3K]

Answer:

The first fraction is between 27 and 28, closer to 28. The second fraction is between 3 and 4, closer to 4. Compatible numbers in division are numbers that can be divided mentally. 28 divided by 4 is 7. The quotient will be around 7.

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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