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Irina18 [472]
2 years ago
13

The sum of two numbers is 60. The larger number is 6 more than the smaller number. What are the numbers?

Mathematics
2 answers:
bearhunter [10]2 years ago
8 0

Answer:

The numbers are: 24 and 36

Step-by-step explanation:

a+b=60

If we were to divide 60 by two we would get thirty. But if thirty represented both a and b they would be the same variable.  

So what if we subtract 6 from 30=a

=24 so a=24

Now add 6 to 30=b

=36

So B=36

There fore the two numbers are 24 and 36.

lapo4ka [179]2 years ago
6 0

Answer:

36+24=60 it the answer to this question.

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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

25

 

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
Harry buys a TV priced at £1200 plus 20% VAT.
RoseWind [281]

Answer:

£ 114

Step-by-step explanation:

From the question given above, the following data were obtained:

Price of TV = £ 1200

VAT = 20%

Amount paid = £ 300

Amount paid monthly =.?

Next, we shall determine the VAT. This can be obtained as follow:

VAT = 20% of price of TV

VAT = 20/100 × 1200

VAT = £ 240

Next, we shall determine the total cost of the TV. This can be obtained as follow:

Price of TV = £ 1200

VAT = £ 240

Total cost of TV =?

Total cost = Price + VAT

Total cost = 1200 + 240

Total cost = £ 1440

Next, we shall determine the balance amount he needs to pay. This can be obtained as follow:

Total cost = £ 1440

Amount paid = £ 300

Balance amount =?

Balance = Total cost – Amount paid

Balance = 1440 – 300

Balance = £ 1140

Finally, we shall determine the amount Harry will pay month.

Balance Amount = £ 1140

Number of months = 10

Amount paid monthly =.?

Amount paid monthly = Balance / number of month

Amount paid monthly = 1140 / 10

Amount paid monthly = £ 114

Therefore, Harry will pay £ 114 monthly.

4 0
2 years ago
Given $a \equiv 1 \pmod{7}$, $b \equiv 2 \pmod{7}$, and $c \equiv 6 \pmod{7}$, what is the remainder when $a^{81} b^{91} c^{27}$
Blizzard [7]
\begin{cases}a\equiv1\pmod7\\b\equiv2\pmod7\\c\equiv6\pmod7\end{cases}

a^{81}\equiv1^{81}\equiv1\pmod7

b^{91}\equiv2^{91}\pmod7

2^{91}\equiv(2^3)^{30}\times2^1\equiv8^{30}\times2\pmod7
8\equiv1\pmod7
2\equiv2\pmod7
\implies2^{91}\equiv1^{30}\times2\equiv2\pmod7

c^{27}\equiv6^{27}\pmod7

6^{27}\equiv(-1)^{27}\equiv-1\equiv6\pmod7

\implies a^{81}b^{91}c^{27}\equiv1\times2\times6\equiv12\equiv5\pmod7
6 0
3 years ago
How many coefficients are in the expression 5x³ - 2n² + 6x - 4?
ikadub [295]

Answer: 3 cofficients are there ( 5, 2, and 6).

8 0
3 years ago
One Year, the price of wheat was $8.87 per bushel. The next year, the price was $9.60. Round the price per bushel of wheat for e
Alex787 [66]
Next year the price is going to be 10.23
3 0
3 years ago
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