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Bess [88]
3 years ago
13

5 1/3 + (-4 1/6)+ (-2 1/2)

Mathematics
1 answer:
nlexa [21]3 years ago
6 0

Answer:

-\frac{4}{3}

Step-by-step explanation:

We are given that

5\frac{1}{3}+(-4\frac{1}{6})+(-2\frac{1}{2})

We have to find the value of given expression

\frac{5(3)+1}{3}-(\frac{4(6)+1}{6})-(\frac{2(2)+1}{2})

=\frac{15+1}{3}-\frac{24+1}{6}-\frac{4+1}{2}

=\frac{16}{3}-\frac{25}{6}-\frac{5}{2}

LCM(2,3,6)=6

=\frac{32-25-15}{6}

=\frac{32-40}{6}

=\frac{-8}{6}

=-\frac{4}{3}

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4 0
3 years ago
A rectangle has vertices (8, 6), (4, 6), (8, −4), and (4, −4). What are the coordinates after dilating from the origin by a scal
Mama L [17]

Answer: (12,9), (6,9), (12,-6) and (6,-6)

Step-by-step explanation:

Given: The coordinates of the original rectangle are  (8, 6), (4, 6), (8, −4), and (4, −4).  We know that the coordinates of the image after dilation  from the origin by a scale factor of k is given by:_

(xy)\rightarrow(kx,ky)

Then, the coordinates of the image after dilation from the origin by a scale factor of 1.5 are given by:_

(8, 6)→(8\times1.5,6\times1.5)=(12,9)

(4, 6)→(4\times1.5,6\times1.5)=(6,9)

(8, −4) →(8\times1.5,-4\times1.5)=(12,-6)

(4, −4)→(4\times1.5,-4\times1.5)=(6,-6)

Hence, the coordinates of the image after dilation from the origin by a scale factor of 1.5 are (12,9), (6,9), (12,-6) and (6,-6).

3 0
3 years ago
Two pairs of jeans cost $75 before tax. If the total tax paid for the two pairs of jeans was $6, what is the percentage of tax?
Eddi Din [679]
Take the tax (6$) and divide it by the pretax(75$) and take that number and multiply it by 100 and you get your percentage (8%)
4 0
3 years ago
A jar contains six blue marbles and five red marbles. Suppose you choose a marble at​ random, and do not replace it. Then you ch
TEA [102]

The jar has 6+5=11 marbles.

We have to find the probability of the following event:

1.We pick a marble from a jar that has 11 marbles in total, 5 of them are red

2.We pick a marble from a jar that has now 10 marbles in total, 4 of them are red (because in the previous step we picked a red marble and did not put it back in the jar)

The probability of the first event is:

P_1=\frac{5}{11}

The probability of the second event is:

P_2=\frac{4}{10}=\frac{2}{5}

The probability of the both events to happen is:

P=P_1\cdot P_2=\frac{5}{11}\cdot \frac{2}{5}=\frac{2}{11}=0.1818

3 0
3 years ago
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