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3 years ago

Y=1/6x+5 in standard form using integers.

2 answers:

6 0

In standard form the equation y=1/6x+5 would be
answer :x/6-y=-5
and if you have more problems like this here is a good website to go to it helps me alot
mathway is a good site to use

if you dont want to use its fine just trying to help :)

Brums [2.3K]3 years ago

6 0

In standard form, the equation would be:

x-6y=-30

This is because you cannot have fractions on standard form. So, I multiplied everything by 6 to get rid of the fraction. In standard form, you have all of the variables on one side of the equation. The formula for this is

Ax+By=C

This means x (and what is attached to x, A) always comes first. In this equation, A=1
B=-6
C=-30

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Liam has 2 quarts of apple juice. He wants to pour the juice into 1/5-quarts servings. How many servings can he pour?

nydimaria [60]

Answer:

10 servings

Step-by-step explanation:

Divide the total juice available, 2 quarts, by the serving size, (1/5) quart per serving:

2 quarts 2 5

--------------------------- = ---- · ------ servings = 10 servings

(1/5) quart/serving 1 1

6 0

3 years ago

Solve and show your work please!x+7=2(3x-4)

Brrunno [24]

x + 7 = 2(3x - 4) Remove the brackets

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

x + 7 = 6x - 8 Subtract 7 from both sides.

x + 7 - 7 = 6x - 8 - 7

x = 6x - 15 Subtract 6x from both sides

x - 6x = - 15

-5x = - 15 Divide by -5

-5x/-5 = -15/-5

x = 3

6 0

3 years ago

How many cubes with side lengths of \dfrac14\text{ cm}

bogdanovich [222]

Answer:

Step-by-step explanation:

Correct question

How many cubes with side lengths of ¼cm needed to fill the prism of volume 4 cubic units?

We know that,

Volume of a cube is s³

V = s³

Where 's' is length of side of a cube

Given that

The cube has a length of ¼cm, and a cube has equal length

s= ¼cm

Then, it's volume is

V = s³

V = (¼)³ = ¼ × ¼ × ¼

V = 1 / 64 cubic unit

V = 0.015625 cubic unit

Then, given that the volume of the prism to be filled is 4 cubic unit

Then,

As, we have to find the number if cubes so we will divide volume of prism by volume of one cube

Then,

n = Volume of prism / Volume of cube

n = 4 / 0.015625

n = 256

So, then required cubes to filled the prism is 256 cubes.

5 0

3 years ago

Read 2 more answers

The equation of line s is y=1/3x-3. The equation of line t is y=-x+5. the equations of line s and t form a system of equations.

BigorU [14]

Y=-x+5

-x+5=1/3x-3
-x+8=1/3x
8=4/3x
6=x

y=-6+5
y=-1

C.

6 0

3 years ago

Suppose that w and t vary inversely and that t = 5/12

Svetlanka [38]

Answer:

Option B. t=5/3w ;1/3

Step-by-step explanation:

We are told that $w$ varies Inversely with $t$ thus generally speaking $w$ ∝ $\frac{1}{t}$ since they are inverted, <u>otherwise</u> if they were proportionally varied then $w$ ∝ $t$ . This means that there is a constant value ( $a$ ) for which $w$ is inversely proportional to $t$ and can be mathematically expressed as:

$w=\frac{a}{t}$ Eqn. (1)

Now since we are given the values of $w=4$ and $t=\frac{5}{12}$ , we can plug them in Eqn. (1) and find our constant of proportionality $a$ as follow:

$w=\frac{a}{t}\\ \\a=wt\\\\a=(4)(\frac{5}{12} )\\\\a=\frac{5}{3}$

Now that we have our constant we can find the new $t$ value for the second value of $w=5$ as follow:

$w=\frac{a}{t} \\\\t=\frac{a}{w}\\ \\t=\frac{\frac{5}{3} }{5}\\\\t=\frac{5}{15}\\ \\t=\frac{1}{3}\\$

Therefore based on the options give, we can see that Option B. is correct since

$t=\frac{5}{3w}$ and for $w=5$ , then $t=\frac{1}{3}$

8 0

3 years ago