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Anestetic [448]
2 years ago
10

Tony has $18 to buy apples and bananas for a fruit salad. Apples cost $2 per pound and bananas cost $1 per pound. Write and grap

h an inequality to describe the situation. Then give two possible combinations of pounds of apples and bananas that Tony can buy.
Mathematics
1 answer:
tester [92]2 years ago
4 0

Answer:

21;-;?

i think

.............

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A: smallest 
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solve it
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in how many ways can a mail carrier place three letters in five mailboxes if each box may receive more than one letter?
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At 7:00 A.M., Alicia pours a cup of tea whose temperature is 200°F. The tea starts to cool to room temperature (72°F). At 7:02 A
NeTakaya

Answer:

Part A

The most correct option is;

b. y = 128(0.989)x + 72

Part B

Ella can drink the tea after 7:22

Step-by-step explanation:

Here we have the temperature variation with time given in an exponential equation as follows;

Let the temperature at time x (in minutes) = y

Therefore, y = a × mˣ + b

Where:

b = Shift of the curve or the limit value of the decreasing exponential function as x → ∞

When y = 200, x = 0

Therefore. 200 = a × m⁰ + c = a + c

We note that c is the shift of the graph, the value upon which temperature increases = final temperature = 72°F

Hence a = 200 - 72 = 128°F

When y = 197, x = 2 minutes

Therefore, 197 = 128·m² + 72 =

m² = (197 - 72)/128 = 125/128

m = √(125/128) = 0.98821

Hence the exponential equation of cooling is presented in the following equation;

y = 128 × (0.98821)ˣ + 72

Therefore, the most correct option is b. y = 128(0.989)x + 72

Part B

When the temperature is 172°F we have;

172 = 128 × (0.989)ˣ + 72

∴ (0.989)ˣ = (172 - 72)/128 = 100/128 = 25/32

log(0.989)ˣ = log(25/32)

x·log(0.989) = log(25/32)

x = log(25/32)/log(0.989) = 22.32 minutes

Hence Ella can drink the tea after 7:22.

6 0
2 years ago
True or false, -|21| is always positive
Anuta_ua [19.1K]

Answer:

yes because it | | means absolute value

Step-by-step explanation:

8 0
2 years ago
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What fraction is 20sec of 2 minutes
blondinia [14]

Answer:

1/6

Step-by-step explanation:

20 sec of 120 sec = 20/120 = 1/6

6 0
2 years ago
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