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Triss [41]
2 years ago
8

Marcus and Phillip are in the Robotics Club. They are both saving money to buy materials to build a new robot. They plan to save

the same amount of money.
Marcus decides to open a new bank account. He deposits $25 that he won in a robotics competition. He also plans on depositing $15 each week that he earns from
tutoring. Phillip also opens an account. He deposits $40 he has saved from mowing lawns over the summer. He plans to save $10 a week from his allowance. After
how many weeks will they have the same amount of money saved?
3 weeks
4 weeks
5 weeks
6 weeks
Mathematics
1 answer:
sesenic [268]2 years ago
5 0

Answer:

Step-by-step explanation:

marcus : deposits 25 + 15 each week(w)

25 + 15w

Philip : deposits 40 + 10 each week(w)

40 + 10w

when will they be equal.....set them equal and solve for w, the number of weeks

25 + 15w = 40 + 10w

15w - 10w = 40 - 25

5w = 15

w = 15/5

w = 3 <==== they will be equal at 3 weeks

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Jody is buying a scrapbook and sheets of designer paper. She has $40 and needs at least $19.00 to
Bas_tet [7]

Answer:

7 sheets of paper

Step-by-step explanation:

$40-$19=$21

$21/$3=7 sheets of paper.

In words:

I did 40 minus 19 to get 21, and the divided 21 by 3 to get 7 sheets of paper.

8 0
3 years ago
Suppose an empty flatbed railroad car sits on a track as shown below, with a person pulling on a rope with a force of 310 Newton
Lelechka [254]

Answer:

Step-by-step explanation:

a) 310cos25 = 281 N

b) (620 - 281) / cos-18 = 356 N

3 0
2 years ago
Is matrix multiplication comutative?
konstantin123 [22]

Answer:

Matrix multiplication is not conmutative

Step-by-step explanation:

The matrix multiplication can be performed if the number of columns of the first matrix is equal to the number of rows of the second matrix

Let A with dimension mxn and B with dimension nxp represent two matrix

The multiplication of A by B is a matrix C with dimension mxp, but the multiplication of B by A is can't be calculated because the number of columns of B is not the number of rows of A. Therefore, you can notice that is not conmutative in general.

But even if the multiplication of AB and BA is defined (For example if A and B are squared matrix of 2x2) the multiplication is not necessary conmutative.

The matrix multiplication result is a matrix which entries are given by dot product of the corresponding row of the first matrix and the corresponding column of the second matrix:

A=\left[\begin{array}{ccc}a11&a12\\a21&a22\end{array}\right]\\B= \left[\begin{array}{ccc}b11&b12\\b21&b22\end{array}\right]\\AB = \left[\begin{array}{ccc}a11b11+a12b21&a11b12+a12b22\\a21b11+a22b21&a21b12+a22b22\end{array}\right]\\\\BA=\left[\begin{array}{ccc}b11a11+b12a21&b11a12+b12a22\\b21a11+b22ba21&b21a12+b22a22\end{array}\right]

Notice that in general, the result is not the same. It could be the same for very specific values of the elements of each matrix.

6 0
2 years ago
NEED HELP NOW 50 POINTS!!!!!!!!!
puteri [66]
1st. is definitely 150.
2nd. is a i think
3rd. is 100 

8 0
3 years ago
Read 2 more answers
HELP ME PLEEEEEEAAAASEEEE!
Archy [21]

Answer:

2\frac{1}{2}\ liters

Step-by-step explanation:

step 1

Convert mixed number to an improper fraction

1\frac{1}{5}=\frac{1*5+1}{5}=\frac{6}{5}

step 2

Using proportion

\frac{3}{(6/5)}\frac{liters}{doors} =\frac{x}{1}\frac{liters}{door}\\ \\x=3/(6/5)\\ \\x=15/6\ liters

step 3

Convert to mixed number

\frac{15}{6}\ liters=\frac{12}{6}+\frac{3}{6}=2\frac{1}{2}\ liters

8 0
3 years ago
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