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3 years ago

11

.The spin on a washing machine takes out 35% of the water in the clothes. The clothes in the washing machine contain 3 pints of

water. How much water is left after a spin?

1 answer:

s2008m [1.1K]3 years ago

4 0

Answer: 1.05 Pints

Step-by-step explanation:

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The lengths of two sides of a triangle are 10 and 24, and the third side is x. How many whole number values are possible for x.

solong [7]

Answer:

$20$ .

Step-by-step explanation:

In any triangle, the sum of the lengths of any two sides should be strictly greater than the length of the third side. For example, if the length of the three sides are $a$ , $b$ , and $c$ :

$a + b > c$ ,

$a + c > b$ , and

$b + c > a$ .

In this question, the length of the sides are $10$ , $24$ , and $x$ . The length of these sides should satisfty the following inequalities:

$10 + 24 > x$ ,

$10 + x > 24$ , and

$24 + x > 10$ .

Since $x > 0$ , the inequality $24 + x > 10$ is guarenteed to be satisfied.

Simplify $10 + 24 > x$ to obtain the inequality $x < 35$ .

Similarly, simplify $10 + x > 24$ to obtain the inequality $x > 14$ .

Since $x$ needs to be a whole number, the greatest $x$ that satisfies $x < 35$ would be $34$ . Similarly, the least $x\!$ that satisfies $x > 14$ would be $15$ . Thus, $x\!\!$ could be any whole number between $15\!$ and $34\!$ (inclusive.)

There are a total of $34 - 15 + 1 = 20$ distinct whole numbers between $15$ and $34$ (inclusive.) Thus, the number of possible whole number values for $x$ would be $20$ .

5 0

2 years ago

Solve x2 – 7x = –13.

aleksklad [387]

we have

$x^{2} -7x=-13$

Complete the square. Remember to balance the equation by adding the same constants to each side

$x^{2} -7x+3.5^{2}=-13+3.5^{2}$

$x^{2} -7x+12.25=-13+12.25$

$x^{2} -7x+12.25=-0.75$

Rewrite as perfect squares

$(x-3.5)^{2}=-0.75$

remember that

$i=\sqrt{-1}$

Square root both sides

$(x-3.5)=(+/-)\sqrt{-0.75}$

$(x-3.5)=(+/-)\sqrt{-1*0.75}$

$(x-3.5)=(+/-)\sqrt{0.75}i$

$x1=3.5+\sqrt{0.75}i$

$x2=3.5-\sqrt{0.75}i$

Simplify

$\sqrt{0.75}=\frac{\sqrt{3}}{2}$

$x1=3.5+\frac{\sqrt{3}}{2}i$

$x2=3.5-\frac{\sqrt{3}}{2}i$

therefore

<u>the answer is</u>

$x1=3.5+\frac{\sqrt{3}}{2}i$

$x2=3.5-\frac{\sqrt{3}}{2}i$

6 0

3 years ago

Read 2 more answers

Arrange the numbers as they appear from left to right on a horizontal number line. -2.76, 2.5, 2.85, -1.58, -1.85, -2.57, -2.5

svp [43]

Answer:

-2.76 -2.57 -2.5 -1.85 -1.58 2.5 2.85

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-3 0 3

I hope this helped (not sure if I did it right) :D

Step by step explanation:

3 0

3 years ago

A baseball team scored the following number of runs in its games during the current season: 6, 2, 5, 9, 11, 4, 5, 8, 6, 7, 5. Th

andre [41]

Answer: 14 runs

Step-by-step explanation:

The average is the total number of runs divided by the number of games played. In order to work backwards to find the score of the final game, use this equation: <em>(final game score = (average * total number of games) - total runs of all games played so far) </em>

The total number of games in the season is 12. Multiply the average of 6 by 12 to find the total season score needed (6*12=72). Now add up the total number of runs from games 1-11 (6+2+5+9+11+4+5+8+6+7+5=58). Subtract this number from 72 to find the lowest possible score of the final game (72-58=14).

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3 years ago

A tourist exchanges US$1500 in St Lucia for Eastern Caribbean currency. Given that US$1.00 = EC$2.7169 and that the total bank c

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2 years ago