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Vsevolod [243]
3 years ago
11

On Monday, Harold picked up four donuts and three large coffees for the office staff. He paid $4.96. On Tuesday, Melinda picked

up six donuts and six large coffees for the office staff. She paid $8.70. What is the cost of one donut? what is the cost of one large coffee?
Mathematics
1 answer:
riadik2000 [5.3K]3 years ago
7 0
x-cost\ of\ donut\\y-cost\ of\ coffee\\\\ \left \{ {{4x+3y=4.96\ \ |\cdot-2} \atop {6x+6y=8.7}} \right. \\\\ \left \{ {{-8x-6y=-9.92} \atop {6x+6y=8.7}} \right.\\+-----\\\\-2x=-1.22\ \ \ |:-2\\x=0.61\\\\4\cdot0.61+3y=4.96 \\2.44+3y=4.96\\3y=4.96-2.44\\3y=2.52\\y=0.84\\\\Donut\ cost\ 0.61\ and\ coffee\ cost\ 0.84
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3 years ago
What is the least common denominator of the expression below?
Igoryamba

<em>Greetings from Brasil...</em>

from notable products:

A² - B² = (A + B)·(A - B)

bringing to our problem:

9 - G² = (3 + G)·(3 - G)

Factoring 24G + 8G²:

8G(3 + G)

So, we have:

{G²/[ (3 + G)·(3 - G)]} + {(14 + G)/[8G(3 + G)]}

So the  least common denominator is: 3 + G

\large{\frac{G^2}{9-G^2}+\frac{14+G}{24G+8G^2}=\frac{G^2}{(3+G)\cdot (3-G)}+\frac{14+G}{8G\cdot (3+G)}}

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4 years ago
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3 years ago
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3 years ago
Joseph has 150 animals on his farm. ⅕ of the animals are chickens, ⅕ of the animals are cows, and the rest of the animals are go
ASHA 777 [7]

Answer:

90 goats

Step-by-step explanation:

Number of chickens in  farm = (1/5) of 150

                                               = \frac{1}{5}*150

                                               = 1 * 30

                                               = 30

Number of cows in  farm = \frac{1}{5}*150

                                         = 1 * 30

                                         = 30

Number of goats in  farm  = 150 - (30 + 30)

                                           = 150 - 60

                                           =  90

4 0
4 years ago
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