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tigry1 [53]
3 years ago
12

8 miles is approximately equal to 6 km. How many km are equal to 28 miles? How many miles are equal to 42 km?

Mathematics
1 answer:
Pani-rosa [81]3 years ago
3 0
1 mile = about 1  1/3 km because 8/6  = 1 1/3
so 28 times 1 1/3 = 37 1/3  (first answer)

42 / 6 = 7 
7 miles are in 42 km (2nd answer)
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Rewrite the following statements less formally, without using variables. Determine, as best as you can, whether the statements a
Anni [7]

Answer:

The answer is given below

Step-by-step explanation:

a) Let u and v be real numbers. The sum of u and v = u + v and the difference between u and v = u - v.

u + v < u - v means the sum of two real numbers is less than the difference between the two numbers.

There exist two real numbers such that their sum is less than the difference between them

This is true when atleast one of the numbers is negative, for example u = 2 and v = -2

u + v = 2 + (-2) = 0 , u - v = 2 - (-2) = 4

u + v < u - v.

b) Let x be a real number and x² be the square of the real number

x² < x means that the square of a real number is less than the real number

We can rewrite the statement as: There exist a real number such that its square is smaller than itself.

The statement is true for x is between 0 and ±1

E.g. for x = 1/2, x² = (1/2)² = 1/4

1/4 < 1/2

c) Let n represent all positive integers. n² is the square of n.

n²≥n means that the square of n is greater or equal to n.

We can rewrite the statement as: For all positive integer numbers, the square of the number is greater than or equal to the number itself

The statement is true.

1² ≥ 1, 2² ≥ 2 e.t.c

d)  Let a and b be real numbers. The sum of a and b = a + b. |a| is the absolute value of a and |b| is the absolute value of b

|a+b|≤|a|+|b| means the absolute value of the sum of two real numbers is less than or equal to the sum of their individual absolute value.

We can rewrite the statement as: For two real numbers, the absolute value of their sum is less than or equal to their individual absolute value sum.

This statement is true for all real numbers.

4 0
2 years ago
you plan to cover the entire surface area of a cylindrical dart board with cork. find the surface area of the dart board if the
Assoli18 [71]
So the amount needed=area of circle times height
area formula=pi times radius^2
height=3/4

so
pi=aprox 3.14
radius=7
3.14 times 7^2
3.14 times 49
153.86
times 3/4
115.395 in^3

answer is 115.4 cubic inches


5 0
3 years ago
Identify two methods a person can use to pay their bills online. Explain the advantages and disadvantages of both methods.
jek_recluse [69]
1) You can pay your bills online using your debit, credit card, or an electronic check. Advantage: you pay when you want and when you are sure you have money in the bank. Disadvantage: you have to remember to pay the bills by the due date.

2) You can set up automatic withdrawal from your bank account to pay your bills. Advantage: once you set it up, you do not have to remember to pay the monthly bills. Disadvantage: if you do not check your checking account balance to be sure there is enough money to cover the bills, your account may go negative.

Hope this helps! :)
5 0
3 years ago
Neptune's average distance from the sun is 4.503 × 109 km. mercury's average distance from the sun is 5.791 × 107 km. about how
vladimir1956 [14]
Neptune's distance from the sun is d₁ = 4.503 x 10⁹ km.
Mercury's distance from the sun is d₂ = 5.791 x 10⁷ km.

Calculate the number of times d₁ is greater than d₂.
\frac{d_{1}}{d_{2}} = \frac{4.503 \times 10^{9}}{5.791 \times 10^{7}} = 77.75859

Answer: 7.7759 x 10⁻¹ times
4 0
3 years ago
Adante begins to evaluate the expression 3 1/3 x 5 1/4 using the steps below
Liula [17]

Answer:

\frac{35}{2}

Step-by-step explanation:

To solve this problem we need to write the mixed fraction as a fractional number, as follows:

3 1/3 = 3 + \frac{1}{3} = \frac{9+1}{3} = \frac{10}{3}

5 1/4 = 5 + \frac{1}{4} = \frac{20+1}{4} = \frac{21}{4}

Then, evaluating the expression:

\frac{10}{3}×\frac{21}{4} = \frac{210}{12}

→ \frac{35}{2}

4 0
3 years ago
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