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Elan Coil [88]
1 year ago
7

Helppppp with alll the problems asap!! Show your work

Mathematics
1 answer:
Nikitich [7]1 year ago
6 0

17) x+2x+1+3x=\boxed{6x+1}

18) 17-a+5a-1+4ab=\boxed{4ab+4a+16}

19) 2(3y-5+y+2)=\boxed{8y-6}

20) k^2 +k+k^2 -9k+23+k^2 +k+2k^2 -17=\boxed{5k^2 -7k+6}

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One number is 10 times as large as another, and their difference is 81. Find the numbers.
marysya [2.9K]

Answer:

90

Step-by-step explanation:

10x - x = 81

9x = 81

x = 9

larger number = 10 x 9 = 90

6 0
2 years ago
Read 2 more answers
You purchased concentrated cleaner that must be diluted (watered down)
abruzzese [7]

Answer:

The volume of the concentrated 80 gallons mixture is 20 gallons

The volume of water in the 80 gallons mixture is 60 gallons

Step-by-step explanation:

The given parameters are;

The content of Container A = The cleaner

The concentration of the cleaner = 20% solution

The content of Container B = Pure water

The concentration of the desired solution = 5%

The volume of the required solution = 80 gallons

Let x represent the volume of the concentrated solution and y represent the volume of water in the 80 gallons mixture

Therefore, we have;

20/100 × x + y×0 = 5/100×80

x + y = 80

y = 80 - x

20/100 × x + (80 - x)×0 = 5/100×80

0.2·x = 4

x = 4/0.2 = 20

x = 20 gallons

y = 80 - x = 80 - 20 = 60

y = 60 gallons

The volume of the concentrated solution (80 gallons mixture) = x = 20 gallons

The volume of water in the 80 gallons mixture = y = 60 gallons.

8 0
3 years ago
What is the circumference of the circle? (use 3.14 for pi)
Alina [70]

Step-by-step explanation:

Circumference = d\pi

Circumference = (18) \pi

Circumference = 56.52

The circumference of the circle is 56.52 km which is letter choice B.

3 0
3 years ago
Read 2 more answers
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
What is the slope of a line that is perpendicular to the line represented by the equation y=3/4x-1/2?
kherson [118]
The answer is:   " - (4/3) " .
____________________________________
Explanation:
____________________________________
The original equation given has a slope of (3/4).

Note:  We know this since the equation for the slope of the line is written in "slope-intercept form" ; also known as: "point-slope form";  that is:

  " y = mx + b " ;  in which "m" (the coefficient of "x") is the slope.
____________________________________________________
The slope of a line PERPENDICULAR to an equation, when written in "slope-intercept form", is the "negative reciprocal" of the slope of the original line.

Hence, the negative reciprocal of "(3/4)"  is:  "-(4/3)" .
____________________________________________________
5 0
3 years ago
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