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3 years ago

-3(-5+4)cubed+(-10+9)squared(-2)

Mathematics

1 answer:

julia-pushkina [17]3 years ago

8 0

Answer:

-160

Step-by-step explanation:

-3(-5+4)cubed+(-10+9)squared(-2)

15+(-12)cubed+(-10+9)squared(-2)

15+(-12)cubed+(-10)+9squared(-2)

3cubed+(-10)+9squared(-2)

9+(-10)+9squared(-2)

9+(-10)+81(-2)

-1+81(-2)

80(-2)

-160

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Check if (1,6) is the solution to the system shown below

Andre45 [30]

Answer:

Step-by-step explanation:

To determine if (1, 6) is a solution, substitute x = 1, y = 6 into the left side of both equations and if the value obtained equals the right side then it is a solution.

10(1) - 6 = 10 - 6 = 4 ≠ - 6

- 10(1) + 5(6) = - 10 + 30 = 20 ≠ 30

Then (1, 6 ) is not a solution to the system

4 0

2 years ago

to arrive at 2000 liters of 60% saline solution the attendant has to mix a 90% and a 40% saline solution. How many liters of eac

CaHeK987 [17]

Answer:

<u>800 liters</u> of 90% saline solution and <u>1200 liters</u> of 40% saline solution should be used.

Step-by-step explanation:

Given:

At 2000 liters of 60% saline solution the attendant has to mix a 90% and a 40% saline solution.

Now, to find the number of liters of saline solution each should be used.

<u><em>Let the liters of 90% saline solution mix be </em></u> $x.$ <u><em /></u>

<u><em>And let the liters of 40% saline solution mix be</em></u> $y.$

So, the total number of liters:

$x+y=2000.$

$y=2000-x\ \ \ ....(1)$

Now, the total percentage of saline solution:

$90\%\ of\ x+40\%\ of\ y=60\%\ of\ 2000$

$\frac{90}{100}\times x+\frac{40}{100}\times y=\frac{60}{100}\times 2000$

$0.9x+0.4y=1200$

Substituting the value of $y$ from equation (1) we get:

$0.9x+0.4(2000-x)=1200$

$0.9x+800-0.4x=1200$

$0.5x+800=1200$

Subtracting both sides by 800 we get:

$0.5x=400$

Dividing both sides by 0.5 we get:

$x=800.$

<u>The liters of 90% saline solution mix = 800.</u>

Now, substituting the value of $x$ in equation (1) to get the liters of 40% saline solution:

$y=2000-x$

$y=2000-800$

$y=1200.$

<u>Thus, the liters of 40% saline solution = 1200.</u>

Therefore, 800 liters of 90% saline solution and 1200 liters of 40% saline solution should be used.

8 0

3 years ago

Can someone please help me I really need help help me thank you

harkovskaia [24]

Answer:

Step-by-Step Explanation:

<em><u>Perimeter</u></em> = 75

<em><u>Sides:</u></em>

2x + 3

3x + 4

2x - 9

<h2 /><h2><em><u>1. Equal the sides added together to the perimeter</u></em></h2>

75 = 2x + 3 + 3x + 4 + 2x - 9

<h2><em><u>2. Simplify Like terms</u></em></h2>

2x + 3 + 3x + 4 + 2x - 9 = 7x - 2

<h2><em><u>3. Place the equation back together</u></em></h2>

75 = 7x - 2

<h2><em><u>4. Isolate the variables and numbers</u></em></h2>

75 = 7x - 2

+2 +2

77 = 7x

<h2><em><u>5. Simplify the equation</u></em></h2>

77 = 7x

/7 /7

<h2><em><u>6. Substitute the value of x into the side lengths.</u></em></h2>

2x + 3 = 2(11) + 3 = 22 + 3 = <em><u>25</u></em>

3x + 4 = 3(11) + 4 = 33 + 4 = <em><u>37</u></em>

2x - 9 = 2(11) - 9 = 22 - 9 = <em><u>13</u></em>

5 0

2 years ago

Say a population of fish triples every year. The population started with 5 fish. How many years will it

Lostsunrise [7]

Answer:

It should take 10 years

Step-by-step explanation:

In 1 year, if it triples, it should be 15 (population), and so on.

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2 years ago

In a car wash fundraiser, the money earned varies directly with the number

miv72 [106K]

if 15 cars were washed there would be $52.50

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2 years ago

-3(-5+4)cubed+(-10+9)squared(-2)​

-3(-5+4)cubed+(-10+9)squared(-2)