Solve the equation 6(c+4)=4c-18

Answers

Answer 1
Answer: 6c+24=4c-18
-4c on both sides
2c+24=-18
-24 on both sides
2c=-42
divide by 2
=-21

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About 16\20 of a tomato is water. what percent of a tomato is water?

Answers

the percent of a tomato is 80%
(16)/(20) = (x)/(100) \n 20x = 1600 \n x = 80

80% of a tomato is water.

Describe the number 43 in two ways

Answers

forty-two and 42. word form and standard form.


43 is an odd number

43 is a real number


What is the measure of angle x?

Answers

Answer:

100 degrees

Step-by-step explanation:

because if it was in the middle i would of been 90 degrees.

the answer is 130

explanation : 50 + X = 180

the 2008 year book at middleton middle school had 236 candid pictures of students. the 2007 yearbook had 214 candid pictures of students. what was the percent of change in the number of candid student pictures from 2007 to 2008 to the nearest tenth?

Answers

Use proportions.
214/236=x/100(100 because it's a percentage.
cross multiply:
23600=214x
solve for x:
x= 11.3(rounded)
11.3% increase

Write the equation of the line that it is parallel to y=2x+1 and passes though the solution of the following systems of equations :3x-2y=10
x+y=5

Answers

The required equation of a line is y = 2x - 11

What is the slope of the line?

The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.


Here,
The given line,
y = 2x + 1
The slope of the equation is m = 2

Now the point is  required,
3x-2y=10  - - - - - -(1)

x+y=5  
x = 5 - y - - - - -(2)
putting x in equation 1
3(5 - y) - 2y = 10
15 - 3y - 2y = 10
-5y = -5
y = 1
Now
x = 5 - y
x = 5 + 1
x = 6
Points are (6, 1)
Equation of line is given by,
y - 1 = m (x - 6 )
y - 1 = 2 (x - 6 )
y = 2x -12 + 1
y = 2x - 11

Thus, the required equation of line is y = 2x - 11

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well, keeping in mind that parallel lines have the same exact slope, hmmmmm

\bf y = \stackrel{\stackrel{m}{\downarrow }}{2}x+1\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\n \cline{1-1} \n y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \n\n \cline{1-1} \end{array}

alrite, so we know the slope has to be 2 then hmmm let's check the point it runs through

\bf \begin{cases} 3x-2y=&10\n\n x+y=&5\n \qquad y=&5-x \end{cases} \n\n\n \stackrel{\textit{substituting \underline{y} on the 1st equation}}{3x-2(5-x)=10}\implies 3x-10+2x=10\implies 5x-10=10 \n\n\n 5x=20\implies x=\cfrac{20}{5}\implies \blacktriangleright x = 4 \blacktriangleleft \n\n\n \stackrel{\textit{since we know that}}{y = 5-x}\implies y=5-4\implies \blacktriangleright y = 1 \blacktriangleleft

so, we're really looking for the equation of a line whose slope is 2 and runs through (4,1)

\bf (\stackrel{x_1}{4}~,~\stackrel{y_1}{1})~\hspace{10em} \stackrel{slope}{m}\implies 2 \n\n\n \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\n \cline{1-1} \n y-y_1=m(x-x_1) \n\n \cline{1-1} \end{array}\implies y-\stackrel{y_1}{1}=\stackrel{m}{2}(x-\stackrel{x_1}{4}) \n\n\n y-1=2x-8\implies y=2x-7

there is a total of 25 bicycles. if the ratio of gray bicycles to black bicycles is 6 to 9 how many of them are black?

Answers

25 bicycles
gray : black
6 : 9 (6+9=15)

25 divided by 15 = 1.666666667
x 9 (that's how many blacks)
= 15
there are 15 blacks

Final answer:

To find the number of black bicycles in a total of 25 bicycles given a ratio, divide the total number of bicycles by the total number of parts in the ratio and multiply by the number of parts representing black bicycles.

Explanation:

To find the number of black bicycles, we first need to find the total number of parts in the ratio. The ratio of gray bicycles to black bicycles is 6 to 9, which means the total number of parts is 6 + 9 = 15. We can then calculate the number of black bicycles by dividing the total number of bicycles by the total number of parts and multiplying by 9. So, the number of black bicycles is (25/15) x 9 = 15 bicycles.

Learn more about Ratio and Proportion here:

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