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Gala2k [10]
3 years ago
8

The sum of two numbers is 72. The greater number is 8 more than the smaller number. Which equation can be used to solve for the

smaller number? (1 point)
x(x − 8) = 72

x − (x + 8) = 72

x + (x + 8) = 72

x(x + 8) = 72
Mathematics
2 answers:
densk [106]3 years ago
7 0

x + (x + 8)
koban [17]3 years ago
4 0
X+y=72
x-y=8

different terms add
similar signs subtract
2x+y-y=80
2x=80
x=40
y=32
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The population of a colony of mosquitoes obeys the law of uninhibited growth. If there are 1000 mosquitoes initially and there a
Anettt [7]

Answer:

1) The size of the colony after 4 ​days is 6553 mosquitoes

2) After t = 4.9\ days

Step-by-step explanation:

To answer this question you must use the growth formula

N = N_0e ^ {kt}

Where

N_0 is the initial population of mosquitoes = 1000

t is the time in days

k is the growth rate

N is the population according to the number of days

We know that when t = 1 and N_0=1000 then N = 1600

Then we use these values to find k.

1600 = 1000e ^{k(1)}\\\\\frac{1600}{1000} = e ^ k\\\\ln(\frac{1600}{1000}) = k\\\\k = 0.47

Now that we know k we can find the size of the colony after 4 days.

N = 1000e ^ {0.47(4)}\\\\N = 6553\ mosquitoes

To know how long it should take for the population to reach 10,000 mosquitoes we must do N = 10000 and solve for t.

10000 = 1000e ^ {0.47t}\\\\10 = e ^ {0.47t}\\\\ln(10) = 0.47t\\\\t = \frac{ln(10)}{0.47}\\\\t = 4.9\ days

6 0
3 years ago
What is the solution to this equation x/5=15<br> a.x=75<br> b.x=20<br> c.x=3<br> d.x=10
Darina [25.2K]

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8 0
3 years ago
I need to know number 5 just what it says thank you
Stels [109]

Answer:

C

Step-by-step explanation:

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5 0
3 years ago
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If x is 5, then 6x = _____. 30 x 5 x 30
marin [14]

Answer:

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Step-by-step explanation:

6x

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8 0
3 years ago
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PLEASEEE HELP AND SHOW WORK​
Verdich [7]
I mean it should be 7 cause 2 angles are congruent.
6 0
3 years ago
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