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allochka39001 [22]
4 years ago
7

(25 points)

Mathematics
2 answers:
schepotkina [342]4 years ago
8 0

Answer:

5/8

Step-by-step explanation:

We need to add to find out how much of the orange was eaten.

1/4 + 3/8

Let's get a common denominator of 8

1/4 *2/2 +3/8

2/8 +3/8 = 5/8

5/8 of the orange was eaten

Pepsi [2]4 years ago
6 0

Step-by-step explanation:

1/4 + 3/8 = 2/8 + 3/8 = 5/8

5/8 of the orange is eaten.

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There are 220 people who voted at the 6th grade meeting.Sixty percent of the voters are in favor of changing the school mascot.H
Amiraneli [1.4K]
60% of 220 is 132.
220 -132 = 88

88 people.
4 0
4 years ago
If N is the population of the colony and t is the time in​ days, express N as a function of t. Consider Upper N 0 is the origina
lesya [120]

Answer:

(a)N(t)=Noe^{kt}

(b)5,832 Mosquitoes

(c)5 days

Step-by-step explanation:

(a)Given an original amount N_o at t=0. The population of the colony with a growth rate k \neq 0, where k is a constant is given as:

N(t)=Noe^{kt}

(b)If N_o=1000 and the population after 1 day, N(1)=1800

Then, from our model:

N(1)=1800

1800=1000e^{k}\\$Divide both sides by 1000\\e^{k}=1.8\\$Take the natural logarithm of both sides\\k=ln(1.8)

Therefore, our model is:

N(t)=1000e^{t*ln(1.8)}\\N(t)=1000\cdot1.8^t

In 3 days time

N(3)=1000\cdot1.8^3=5832

The population of mosquitoes in 3 days time will be approximately 5832.

(c)If the population N(t)=20,000,we want to determine how many days it takes to attain that value.

From our model

N(t)=1000\cdot1.8^t\\20000=1000\cdot1.8^t\\$Divide both sides by 1000\\20=1.8^t\\$Convert to logarithm form\\Log_{1.8}20=t\\\frac{Log 20}{Log 1.8}=t\\ t=5.097\approx 5\; days

In approximately 5 days, the population of mosquitoes will be 20,000.

7 0
3 years ago
Read 2 more answers
Change 75 millimeters to decimeters. A. .75 dm B. 7.5 dm C. 7,500 dm D. 750 dm
Zanzabum

Convert 7500 Millimeters to Decimeters (mm to dm) with our conversion calculator and conversion tables. To convert 7500 mm to dm use direct conversion formula below.
7500 mm = 75 dm.
You also can convert 7500 Millimeters to other Length (popular) units.

so it will be A 75DECIMETERS

4 0
3 years ago
Expand completely using the Binomial Theorem<br> (3y - x)^4
AleksAgata [21]

Answer:

In standard form it is x^4 - 12x^3y + 54x^2y^2 - 108x y^3 + 81y^4.

Step-by-step explanation:

(3y)^4 + 4C1(3y)^3(-x) + 4C2(3y)^2(-x)^2 + 4C3(3y)(-x)^3  + (-x)^4

= 81y^4 - 108y^3x + 54y^2x^2 - 12yx^3 + x^4

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3 years ago
What is 120 to 130 kilometers per hour when converted to miles per hour?
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1 kilometer = 0.6214 miles
120 to 130 kilometers per hour = 120 x 0.6214 to 130 x 0.6214 = 74.56 to 80.78 miles per hour.
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4 years ago
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