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Nana76 [90]
3 years ago
5

The sum of two numbers is 58 and the difference is 6. what are the numbers: ?

Mathematics
1 answer:
Vinil7 [7]3 years ago
6 0

Answer:

Larger number: 32

Smaller number: 26

Explanation:

58 - 6 = 52

52/2 = 26

26+6=32 Larger number

26 smaller number

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Select ALL the correct answers.
DaniilM [7]
Be:
Number of hours: n

<span>The cost of renting a bike for the first hour is $7:
n=1→f(n)=f(1)=$7

</span>He is charged $2.50 for every additional hour of renting the bike:
f(n)=f(n-1)+2.50, for <span>n ≥ 2
</span>
f(1)=7; f(n)=f(n-1)+2.50, for <span>n ≥ 2 (sixth option)
</span>
f(n)=f(1)+2.50(n-1)
f(n)=7+2.50(n-1)
f(n)=7+2.50n-2.50
f(n)=2.50n+4.50 (fifth option)

Answers:
Fifth option: f(n)=2.50n+4.50, and
Sixth option: f(1)=7; f(n)=f(n-1)+2.50, for <span>n ≥ 2</span>
7 0
3 years ago
(2×4)×7=2×(7×4) what property does this demonstrate
notka56 [123]
Well,

As we can see, the only difference is that the parentheses have moved.

This is an example of the associative property.  It is specifically of multiplication, because products are used in this case.

Just as a test, let's see whether they are really equal.

Following PEMDAS, we get:
(2*4)7 = 2(7*4)
(8)7 = 2(28)
56 = 56

They are equivalent.
8 0
3 years ago
Read 2 more answers
K/7 ​+ 3 − 2k = −3<br> Explain how to solve the problem. SHOW YOUR WORK!
Vesna [10]

Answer: 42/13

Step-by-step explanation:  Multiply everything by 7 to eliminate the fraction:

k+ 21 - 14k = -21

Isolate the variable:

k - 14k = -21-21

13k= -42

divide the sides by -13.

42/13

8 0
3 years ago
Read 2 more answers
Gas prices went from $2.53 to $2.89 during the year. What is the percent increase? Show your work.
spayn [35]
A change from 2.53 to 2.89 would be 14.23%
4 0
3 years ago
A simple random sample of 60 items resulted in a sample mean of 80. The population standard deviation is σ = 15. a. Compute the
Kaylis [27]

Answer:

a) (76.21,83.79)

b) (77.32,82.68)    

c) Interval decreases    

Step-by-step explanation:

We are given the following information in the question:

Sample size, n = 60

Sample mean = 80

Sample standard Deviation, s = 15

a) 95% Confidence interval:

\mu \pm z_{critical}\frac{\sigma}{\sqrt{n}}

Putting the values, we get,

z_{critical}\text{ at}~\alpha_{0.05} = 1.96

80 \pm 1.96(\dfrac{15}{\sqrt{60}} ) = 80 \pm 3.79 = (76.21,83.79)

b) Sample size, n = 120

95% Confidence interval:

80 \pm 1.96(\dfrac{15}{\sqrt{120}} ) = 80 \pm 2.68 = (77.32,82.68)

c) As observed increasing the sample size, the confidence interval become smaller.

8 0
3 years ago
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