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ziro4ka [17]
3 years ago
15

A cruise ship sailed for 9 hours at a speed of 18 miles per hour. How far did the cruise ship sail?

Mathematics
2 answers:
tiny-mole [99]3 years ago
7 0
The answer is D because you would multiply time traveled by distance traveled in a period

maria [59]3 years ago
4 0
9 x 18 = 162 So that makes D the correct option
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Given that 8 bolts and 6 nuts weigh 138grams and 3 bolts and 5 nuts weigh 71 grams. Find the weight of;(a)one bolt and one nut (
Viktor [21]

Answer:

(a) Weight of a bolt = 12 grms and weight of a nut is 7 gms. Weight of one bolt and one nut = 12 + 7 = 19 gms

(b) 69 gms

(c) 209 gms

Step-by-step explanation:

This problem relates to solution of 2 unknowns using simultaneous equations.

Let B be the weight of a single bolt and N be the weight of a single nut

Since 8 bolts and 6 nuts weigh 138 grams we get one of the equations as

8B + 6N = 138    (1)

The second equation in the unknowns is

3B + 5N = 71  (2)

To solve, we eliminate one of the unknowns by making its coefficients the same and subtracting one from the other

Multiplying (1) by 5 ===>   40B + 30N = 690   (3)

Multiplying (2) by 6 ===>  18B + 30N = 426    (4)

(3) - (4) eliminates the N variables and yields

22B = 264   ==> B = 264/22 ==> B = 12

So the weight of a single bolt is 12 grams

We can find the weight of a single nut by substituting this value of B into any of the equations (1), (2), (3) or (4) and solving for N. Let's use equation (2)

3(12) + 5N = 71 ==>  36 + 5N = 71 ==> 5N = 71-36 = 35 ==>  N= 7

So the weight of a single nut is 7 grams

Weight of one bolt and one nut is the sum of the above individual weights = 12 + 7 = 19 gms

To solve (b) and (c) we could set up two other equations and plug in values for B and N

(b) 4B + 3N = 4.12 + 3.7 = 69
However, an alternate way is to perceive that 4B + 3N is exactly half of 8B + 6N so the value of that must be 138/2 = 69

(c) If we add both equations (1) and (2), we get

11B + 11N = 138 + 71 = 209 which is the equation for the total weight of 11 bolts and 11 nuts

5 0
1 year ago
ISSS THISSSSS CORRECTTT??????please help
LenaWriter [7]

Answer:

I think that is correct, sorry is i get it wrong

7 0
3 years ago
Every orthogonal matrix is diagonalizable. O True O False
Simora [160]

Answer:

FALSE

Step-by-step explanation:

the correct answer is FALSE

A matrix is said to be orthogonal when it is  multiplied by its own transpose then the matrix comes out to be Identity.

                                      A^T.A = I

the basic condition for a matrix to be diagonalizable is that the matrix should be symmetric.

but an orthogonal matrix is not necessarily symmetric so, the statement is false.

5 0
3 years ago
If EG and HJ are parallel lines and mEFI = 130°, what is mGFD?
padilas [110]

Answer:

if EG || HJ,

m GFD = 130°

Step-by-step explanation:

Because, m EFI = m GFD

( vertical opposite angles )

so, m GFD = 130°

3 0
2 years ago
Determine the domain of the following graph
sp2606 [1]

Answer:

[-9,3]

Step-by-step explanation:

The domain is all x-values or inputs of a function from left to right is -9 to + 3

6 0
2 years ago
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