WHAT IS 6 1/3 - 4 2/3

Answers

Answer 1

Answer: Hi there, first we have to convert the mixed numbers into improper fractions, 6 1/3=19/3 and 4 2/3=14/3. Now we subtract 19/3 from 14/3. 19/3-14/3=5/3, 5/3=1 2/3, Therefore, 6 1/3 - 4 2/3 = 1 2/3

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If BC=6x+4 AC=52 and AB=4x+8 find BC

Answers

x=4, BC=28, AB=24, AC=53

Answer:

BC=28

Step-by-step explanation:

khan academy :D

A container with a larger surface area always has a greater volume. Explain whether or not this statement is true using several examples to support your argument.

Answers

No, this is not true every time. It depends on the conditions given.

For example-

Suppose we have a Box A with dimensions 10 x 10 x 1 and Box B with dimensions 5 x 5 x 5.

Box B has a surface area = 2(25+25+25) = 150 and a volume of 5*5*5= 125 cubic units

Box A has a larger surface area = 2(100+10+10) = 240 and a smaller volume = 10*10*1 = 100 cubic units

Similarly take an example of sphere.

Lets suppose the radius of the sphere is 2 cm

So, SA is 4πr² = 4*3.14*2*2 = 50.24 cm²

Volume of the sphere is = 4πr³ /3 = 33.50 cm³

Here also the SA is greater.

Ax + c = R (solve for x)

Answers

Answer:

$x=(R-c)/(A)$

Step-by-step explanation:

Given equation,

$Ax + c = R---(1)$

For getting the equation for x,

We need to isolate x in the left side,

Subtract c on both sides of equation (1),

$Ax = R - c$

Divide both sides by A,

$x=(R-c)/(A)$

Which is the required equation.

Ax + c = R (subtract c from each side)

Ax + c - c = R - c

Ax = R - c (divide A from each side)

Ax/A = (R-c)/A

x = $(R-c)/(A)$ <-answer

Portia is a designer working on creating plans for the city of Geocove's new waterpark. The graph shows her plan for a waterslide for young children. The equation that represents this line is y = -1/3x + 4. The x-axis represents the ground, and the y-axis represents one of the poles that will support the slide.Each unit on each axis represents 1 foot. Suppose that a rider coming down this slide has a horizontal change of 6 feet. What is the value of their vertical change? Explain.

Answers

$y=\stackrel{\stackrel{m}{\downarrow }}{-\cfrac{1}{3}}x+4\qquad \impliedby \qquad \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\n \cline{1-1} \n y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \n\n \cline{1-1} \end{array} \n\n[-0.35em] ~\dotfill$

$slope=\cfrac{\stackrel{\textit{vertical change}}{Rise}}{\underset{\textit{horizontal change}}{Run}}\hspace{5em} slope=\cfrac{\stackrel{\textit{vertical change}}{1}}{\underset{\textit{horizontal change}}{3}} \n\n\n \stackrel{ \textit{when the Run = 6, what's the Rise?} }{\stackrel{slope}{\cfrac{1}{3}}=\cfrac{\stackrel{\textit{vertical change}}{v}}{\underset{\textit{horizontal change}}{6}}}\implies \cfrac{1}{3}=\cfrac{v}{6}\implies \cfrac{6}{3}=v\implies \boxed{2=v}$

in this case the slope is -1/3, the negative part simply means the slope is going down from left-to-right, as it'd be the case in a waterslide.

Answer:

Vertical change is 2 feet.

Step-by-step explanation:

The equation of the line is $\sf y = -(1)/(3)x + 4.$

This equation can be rewritten as : $\sf y -4 = -(1)/(3)x$

If a rider coming down this slide has a horizontal change of 6 feet, then their x-coordinate will change by 6.

This means that their new x-coordinate will be 6.

We can now plug this value of x into the equation for y to find their new y-coordinate.

$\sf \sf y -4 = -(1)/(3)* 6$

$\sf y - 4 = -2$

Adding 4 on both sides

$\sf y -4+4 =-2+4$

$\sf y = 2$

Therefore, the value of their vertical change is 2 feet.

In other words, if a rider starts at the point (0, 4) on the graph, and they move 6 units to the right, they will end up at the point (6, 2).

The vertical change is 4 - 2 = 2 feet.

A boat can travel 132 miles on 11 gallons of gasoline.how much gasoline will it need to go 252 mileswhat do I do?

Answers

rate is miles/gallons
132/11=12 mile pser 1 galon
ratio and propeortion
132/11=252/xgalons
12/1=252/x
multiply both sides by x
12x=252
divide both sides by 12
x=21

21 gallons

132/11=12per gallon'

12*11=132

252/12=21

21*12=252

11+11=21

21 is your answer

Brand a cereal contains 10 cups of cereal. how many more cups of cereal are in brand b cereal

Answers

as I don't know enough info I will say how to figure it out,
so you get the amount of cereal in a [eg 40] then you divide it by 10 you get [4] each cup is worth [4] then you divide b [eg 56] by [4] giving you [14] so you get [4]
more cups of cereal in b.
i am presuming thats the info you get in the question and if it is that is how you answer it if not well its your fault for not providing enough info

Brand B has 30% more cereal. :)

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