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weqwewe [10]
3 years ago
11

Please help! Evaluate 1 + ( - 2/3 ) - (-m) where m - 9/2.

Mathematics
2 answers:
seropon [69]3 years ago
8 0

Answer:

m +  \frac{1}{3}

Step-by-step explanation:

1. \: 1 -  \frac{2}{3}+m \\ 2. \: m + (1 -  \frac{2}{3}) \\ m +  \frac{1}{3}

valkas [14]3 years ago
8 0

Answer:

29/6

Step-by-step explanation:

1+ -2/3 - (-m)

1 - 2/3 + m

1/3 + m

Let m = 9/2

1/3 +9/2

Get a common denominator of 6

1/3 *2/2 = 2/6

9/2 *3/3 = 27/6

2/6 + 27/6

29/6

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Paulina swims 5 miles down a creek with a current for 2 hours. It takes her 4
Westkost [7]

Answer: her swimming speed = 1.875 mph

Speed of current = 0.625 mph

Step-by-step explanation:

Let x represent her swimming speed.

Let y represent the speed of the current.

Paulina swims 5 miles down a creek with a current for 2 hours. Since this is faster, it means that she swam with the current. Her total speed would be (x + y) mph

Distance = speed × time

Therefore,

5 = 2(x + y)

dividing both sides by 2, it becomes

2.5 = x + y- - - - - - -1

It takes her 4 hours to swim the same 5 miles back to her original destination against the

same current. It means that her total speed was (x - y) mph

Distance covered would be

5 = 4(x - y)

Dividing both sides by 4, it becomes

1.25 = x - y- - - - - - - 2

Adding equation 1 to equation 2, it becomes

3.75 = 2x

x = 3.75/2

x = 1.875

Substituting x = 1.875 into equation 1, it becomes

2.5 = 1.875 + y

y = 2.5 - 1.875

y = 0.625

4 0
3 years ago
A glass plummet weighs 14.35 g in air 5 points 11.40 g when immersed in water, and 8.95 g when immersed in sulfuric acid. Calcul
elena-s [515]

Answer:

0.865

Step-by-step explanation:

Specific gravity is a ratio of the weight of a substance to the weight of an equal volume of a substance chosen as a standard. The standard for liquid and solids is water while for gas is hydrogen.

Amount of displaced oil = 12.64 g — 9.12 g = 3.52 g

Amount of displaced water = 12.64 g — 8.57 g = 4.07 g

Specific gravity of oil = 3.52 g / 4.07 g = 0.865

6 0
3 years ago
The sum of a number and its reciprocal is 41/20. Find the number. smaller value larger value
Natali [406]

Step-by-step explanation:

Let the number is x. Its reciprocal will be 1/x. According to given condition, we get :

x+\dfrac{1}{x}=\dfrac{41}{20}\\\\\dfrac{x^2+1}{x}=\dfrac{41}{20}\\\\20x^2+20=41x\\\\20x^2-41x+20=0

It is a quadratic equation. The values of x are :

20x^2-25x - 16x+ 20 =0\\\\5x(4x - 5) -4( 4x - 5) = 0\\\\(5x-4)(4x-5)=0\\\\5x-4=0\ \text{and}\ (4x-5)=0\\\\x=\dfrac{4}{5}\ \text{and}\ x=\dfrac{5}{4}

The smaller number is 4/5 and the larger number is 5/4.

6 0
3 years ago
For every 24 minutes of television there are 6 minutes of commercials .How many are there in 1 hour and 36 minutes of television
Soloha48 [4]

Answer: 24 minutes of commercials

Step-by-step explanation:

96 minutes total divided by 24 which is 4 then 4 times 6 is 24 so 24 min of commercials are in 1 hour and 36 min

4 0
3 years ago
The second digit of a four digit number is "0". If you write the digits of this number backwards, you will get a number 9 times
wolverine [178]

Answer:

1089

Step-by-step explanation:

The original number is A0CD, We have that DC0A = 9 x A0CD.

If A =1, then D = 9 and we have:

9C01 = 9 x 10C9

In order for this expression to be true, the following must also be true:

(C x 9) + 8 must be divisible by 10, which means that C x 9 must end in a 2.

The only multiple of 9 (from 9 to 81) that ends in a 2 is 72.

72 = 9 x 8.

Therefore, C must be 8 and the original number is 1089. Multiply it by 9 to check the answer:

1089 x 9 = 9,081

Therefore, 1089 is correct.

6 0
3 years ago
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