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Alexxx [7]
3 years ago
7

Using suitable property solve -3/4*2/3+3/4*-5/6

Mathematics
2 answers:
saveliy_v [14]3 years ago
4 0

Answer:

Step-by-step explanation:

Distributive property

\frac{-3}{4}*\frac{2}{3}+\frac{3}{4}*\frac{-5}{6}\\\\=\frac{-3}{4}*[\frac{2}{3}+\frac{5}{6}]\\\\=\frac{-3}{4}*[\frac{2*2}{3*2}+\frac{5}{6}]\\\\=\frac{-3}{4}*[\frac{4}{6}+\frac{5}{6}]\\\\=\frac{-3}{4}*[\frac{4+5}{6}]\\\\=\frac{-3}{4}*\frac{9}{6}\\\\=\frac{-1}{4}*\frac{9}{2}\\=\frac{-9}{8}}\\\\=-1\frac{1}{8}

REY [17]3 years ago
3 0

Answer: The answer is -1/8

Step-by-step explanation:

3/4*2/3+3/4*-5/6

3 is cancelled out with 3, 4 with 2, 3 with 6

1/2-5/8

take the L.C.M

4(1)-1(5)/8

4-5/8

=-1/8

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3 years ago
The graph shows the relationship between the United States dollar and the euro, the currency of the European Union, in December
olasank [31]

The graph is missing, so i have attached it;

Answer:

Constant of proportionality = 0.75

Step-by-step explanation:

From the graph attached, we are given 3 coordinate points of (x, y) namely;

(120, 90), (250, 187.5), (400, 300)

Now, constant of proportionality for each coordinate point is simply;

k = y/x

Thus, for first coordinate point (120, 90),

k1 = 90/120

k1 = 0.75

For 2nd coordinate point (250, 187.5),

k2 = 187.5/250

k2 = 0.75

For third coordinate point (400, 300),

k3 = 300/400

k3 = 0.75

From each of the 3 points, we can see the constant of proportionality is the same and equal to 0.75.

6 0
3 years ago
HELP I CANT FIGURE IT OUT!<br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B5%7D%7B18%7D%20%20-%20%20%5Cfrac%7B1%7D%7B4%7D%20"
bija089 [108]

<em>Answer:</em>

<em>1/36</em>

<em>Step-by-step explanation:</em>

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<em>= 1/36</em>

8 0
3 years ago
4. Tyson and his friends go ice skating. Tyson must pay an initial fee of $18.30 plus $4.80 per hour.
hjlf

Answer:

equation: c = 4.80h + 18.30, cost for four hours: (4, 37.5)

Step-by-step explanation:

the equation is c = 4.80h + 18.30 because 18.30, the initial cost, is the y-intercept and because each hour costs $4.80. the cost for four hours would be (4, 37.5) because it costs $37.5 to skate for four hours.

7 0
3 years ago
Chase and his brother like to play basketball. About a month ago they decided to keep track of how many games they have each won
Anettt [7]

Answer:

Step-by-step explanation:

As of today, Chase has won 18 out of 30 games against his brother. The percentage of games that he has won as of today is

18/30 × 100 = 60%

In order to get 75% wins, let the number of games would be x. Then

(18 + x)/(30 + x) × 100 = 75

100(18 + x) = 75(30 + x)

1800 + 100x = 2250 + 75x

100x - 75x = 2250 - 1800

25x = 450

x = 450/25 = 18

chase has to win 18 games in a row.

In order to get 90% wins, let the number of games would be y. Then

(18 + x)/(30 + x) × 100 = 90

100(18 + x) = 90(30 + x)

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100x - 75x = 2700 - 1800

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Therefore, it is impossible to for chase to reach a 100% winning record because he has already had some losses.

2) for a wining record of 90, the total number of games played is

30 + 36 = 66 games and the total number of wins was 18 + 36 = 54

In order to get 55% losses, let the number of games would be z. Then

(54 + z)/(66 + z) × 100 = 55

100(54 + z) = 55(66 + z)

5400 + 100z = 3630 + 55z

100z - 55z = 3630 - 5400

45z = - 1770

z = - 1770/45 = - 40

chase has to lose 40 games in a row in order to drop down to a winning record below 55% again.

8 0
3 years ago
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