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3 years ago

Name

Mathematics

1 answer:

Tpy6a [65]3 years ago

8 0

Answer:

1. A container of milk 2L

2. An Eyedropper has 1 mL

3. A cup of punch 250 mL

4. A jar of pickles 500mL

Step-by-step explanation:

Without even measuring, just think of this problem logically. Remember that a 1 L is 1000mL, so it is 1000 times more than 1 mL.

A milk container would hold more than a cup of milk and that is more than 20 mL. The most logical answer would be 2L.

An eyedropper can hold just a little amount of liquid. Just think that it dispenses liquid in drops, the best answer would be 1mL (which is actually an estimate of the volume of a drop is.)

A cup of punch is about 250 mL. The keyword there is a CUP and 25L is a big amount and the cup would have to be HUGE.

Same as above, the keyword there is a jar. A 50L jar would be a very big amount for just a jar of pickles.

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3 years ago

5. Renee's baby sister weighs 7 pounds 2 ounces. How many ounces does her sister weigh?

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2 years ago

Two lines are represented by the equations -1/2y=6x+10 and y=mx for which value of m will the lines be parallel

hjlf

Answer:

-12

Step-by-step explanation:

So to start we need to know what makes a line parallel. In an equation we know that for lines to be parallel they must have the same slope(m).

Then, we need to know the slope-intercept form of an equation. The slope intercept form is $y=mx+b$ where $m$ is the slope of the line and $b$ is the y-intercept. In this problem where can see the second equation is already in this form.

Now that we know we need to find the slope, and we know that the second equation is in slope-intercept form we're going to convert the fist equation into the correct form.

To do this, we know we need to make sure $y$ is the only thing on the left side of the equal sign. Currently, on the left side of the equal sign we have $-\frac{1}{2} y$ so we have to divide both sides by $-\frac{1}{2}$ to get $y=-12x -20$

Now that we have it converted to slope-intercept form, we are going to look for what represents the slope or $m$ in the equation. In this case the slope would be -12, so any line with a slope of -12 will be parallel.

8 0

3 years ago

Distance between A (2, -1) and (2,a) is 4 units. Find the value of a where a is positive.

kolezko [41]

Answer:

a = 3

Step-by-step explanation:

Calculate the distance d using the distance formula and equate to 4

d = $\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }$

with (x₁, y₁ ) = (2, - 1) and (x₂, y₂ ) = (2, a)

d = $\sqrt{(2-2)^2+(a+1)^2}$ = $\sqrt{0+(a+1)^2}$ = $\sqrt{(a+1)^2}$ = a + 1 then

a + 1 = 4 ( subtract 1 from both sides )

a = 3

3 0

3 years ago

PLEASE HELP!

Kitty [74]

You can reword the two equations as:

-5x-y=15 (Divide original value by 3)
-2x+6y=6

Then use elimination to find x:

-30x-6y=90 (Multiply by 6 to get y values to be same to cancel out)
-2x+6y=6

You're left with:

-32x=96. Which can then be solved to find x which is -3.

Then plug back in

-2x+6y=6

Now to: -2(-3)+6y=6.

Which reduces to 6+6y=6. So y=0.

To graph them, just reword the equations (yes once again) so that y is in front.

y=-5x-15 and y=(1/3)x+1

8 0

3 years ago