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nika2105 [10]
2 years ago
5

Susan is traveling from Queens to Staten Island via Manhattan. There are 3 different trains that travel from her home in Queens

to Times Square, 5 trains that run from Times Square to the Staten Island Ferry, and 2 buses that run from the Staten Island Ferry to her home in Staten Island. How many different ways can Susan get from Queens to her home, passing through Times Square and the Staten Island Ferry?
Mathematics
1 answer:
frez [133]2 years ago
8 0
You just have to multiply all the numbers which is 3×2×5 and your product will be 30 different ways.
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The area of a rectangular raised garden bed for growing beets is given by the expression(3b)(3b-3). The length, l, of the mat is
mars1129 [50]

Answer:

C and D

Step-by-step explanation:

The area of a rectangular raised garden bed for growing beets is given by the expression (3b)(3b-3).

The area of the rectangle is

A=\text{Width}\cdot \text{Length}

Thus,

\text{Width}=3b\\ \\\text{Length}=3b-3

or

\text{Width}=3b-3\\ \\\text{Length}=3b

The length of the mat is greater than its width. Since

3b>3b-3

then

\text{Width}=3b-3\\ \\\text{Length}=3b

Options A and B are false, options C and D are true.

7 0
3 years ago
17 less than 12 times a certain number (m) IS 23 less than six times the same
REY [17]

Answer:

  m = -1

Step-by-step explanation:

12 times the number is 12m

17 less than that is 12m -17.

23 less than 6 times the number is 6m-23.

These expressions  are said to be the same:

  12m -17 = 6m -23

  6m -17 = -23 . . . . . . . . subtract 6m from both sides

  6m = -6 . . . . . . . . . . add 17 to both sides

  m = -1 . . . . . . . . . divide both sides by 6

The value of m is -1.

3 0
2 years ago
Resolve into partial fractions 7-5x/2x^2+x-1​
Flauer [41]

The decomposition of partial fractions is to start with the simplified reply and then take it apart, to "decompose" the final expression into its initial polynomial fractions.

Given:

\to \bold{\frac{7-5x}{2x^2+x-1}}\\\\

To find:

partial fractions=?

Solution:

\to \bold{\frac{7-5x}{2x^2+x-1}}\\\\\to \bold{\frac{7-5x}{2x^2+x(2-1)-1}}\\\\\to \bold{\frac{7-5x}{2x^2+2x-x-1}}\\\\\to \bold{\frac{7-5x}{2x(x+1)-1(x+1)}}\\\\\to \bold{\frac{7-5x}{(2x-1)(x+1)} = \frac{A}{(2x-1)} - \frac{B}{(x+1)} }\\\\\to \bold{7-5x = \frac{A ((2x-1)(x+1))}{(2x-1)} - \frac{B((2x-1)(x+1))}{(x+1)} }\\\\\to \bold{7-5x = A(x+1) -B(2x-1) }\\\\

putting x=-1

\to \bold{7-5(-1) = A(-1+1) -B(2(-1)-1) }\\\\\to \bold{7+5 = A(0) -B(-2-1) }\\\\\to \bold{12 = +3B }\\\\\to \bold{B = \frac{12}{3} }\\\\\to \bold{B = 4 }\\\\

putting x= \frac{1}{2}

\to \bold{7-5(\frac{1}{2}) = A(\frac{1}{2}+1) -B(2(\frac{1}{2})-1) }\\\\\to \bold{7-\frac{5}{2} = A(\frac{3}{2}) -B((\frac{2}{2})-1) }\\\\\to \bold{7-\frac{5}{2} = A(\frac{3}{2}) -B(1-1) }\\\\\to \bold{\frac{14-5}{2} = A(\frac{3}{2}) -B(0) }\\\\\to \bold{\frac{9}{2} = A(\frac{3}{2})}\\\\\to \bold{\frac{9}{2}  \times \frac{2}{3} = A}\\\\\to \bold{\frac{9}{3} = A}\\\\\to \bold{A=3}\\\\

So, the final answer is "\bold{\frac{7-5x}{(2x-1)(x+1)} = \frac{3}{(2x-1)} - \frac{4}{(x+1)} }\\\\".

Learn more:

brainly.com/question/22286068

3 0
3 years ago
Dentify the percent, amount, and base in this problem. 75% of what number is 30?
anastassius [24]

Answer:

40

Step-by-step explanation:

This is essentially just (4/3), or \frac{3}{4}^{-1}. (4/3)*30 = 40, so our answer must be 40. Just to check, taking 75 percent of 40, we indeed get 30!

7 0
3 years ago
Read 2 more answers
I need help solving this inequalitie​
FinnZ [79.3K]

\frac{a}{ - 8}  + 15 > 23 \\ \Leftrightarrow  -  \frac{a}{8}   > 8 \\ \Leftrightarrow a <  - 64

4 0
2 years ago
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