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Alexandra [31]
3 years ago
8

The sum of Louise's age and Todd's age is 34 years. Five years ago, the sum of twice Louise's age and three times Todd's age was

61 years. How old are they now?
Mathematics
1 answer:
Luda [366]3 years ago
8 0
L+T=34 \ => \boxed{L=34-T}\\\\ 2(L-5)+3(T-5)=61 \\\\ 2(34-T-5)+3T-15=61 \\\\ 68-2T-10+3T-15=61 \\\\ T+43=61 \\\\ T=61-43 \\\\ \boxed{T=18 \ years \ has \ Todd} \\\\ L=34-18 \\\\ \boxed{L=16 \ years \ has \ Louis}
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I don’t know how to solve this
sleet_krkn [62]

9514 1404 393

Answer:

  x ∈ (-∞, 9) U (-1, ∞)

Step-by-step explanation:

Get the absolute value by itself. Do that by multiplying by 4.

  |3x +15| > 12

This resolves to two cases:

<u>3x +15 > 12</u>

  x +5 > 4 . . . . divide by 3

  x > -1 . . . . . . .subtract 5

<u>-(3x +15) > 12</u>

  x +5 < -4 . . . . divide by -3

  x < -9 . . . . . . . subtract 5

Then the solution in interval notation is ...

  x ∈ (-∞, 9) U (-1, ∞)

6 0
3 years ago
Evolutionary theories often emphasize that humans have adapted to their physical environment. One such theory hypothesizes that
timama [110]

Answer:

Step-by-step explanation:

Given that evolution theory hypothesizes that people should spontaneously follow a​ 24-hour cycle of sleeping and wakingdash–even if they are not exposed to the usual pattern of sunlight.

Sample size n = 8

df = 8- 1=7

Since population std deviation is not known, and sample size is small we can use only t test

H-0: x bar = 24\\H_a: x bar \neq 24

(two tailed test at 5% level of significance)

24

28

24

22

25

26

26

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mean 25

 

sd 3.142857143

 

se 1.111167799

Test statistic = Mean diff/se = 1.595

p = 0.1546

since p >0.05, accept null hypothesis.

There is no evidence to prove that the steady cycle is different from 24 hours.

4 0
3 years ago
Greg budgeted carefully and by the time he turned 30 his retirement account balance was $22,000. If that amount grew at a rate o
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Answer:

$618,253.61

Step-by-step explanation:

30 to 65 is 35 years

22000 × (1 + 10/100)³⁵

22000 × 1.1³⁵

618253.6107

6 0
4 years ago
SOMEONE PLEASE HELP DUE TMM
vodka [1.7K]
Yea use a calculator
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3 years ago
Amanda earns £285 a week.This is due to increase by 10%.How much is the increase
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Answer:

28.5

Step-by-step explanation:

i think itś 28.5 because 285 is after an increase of 10% which would mean 28.5 was the increase

3 0
3 years ago
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