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3 years ago

If you buy 8 kilograms of apples and 2.5 kilograms of pears how many more grams of apples are there

Mathematics

1 answer:

Anna35 [415]3 years ago

4 0

Answer:

$5,500\ g$

Step-by-step explanation:

we know that

$1\ kg=1,000\ g$

step 1

Find the difference between the kilograms of apples and the kilograms of pears

$8-2.5=5.5\ kg$

step 2

Convert to grams

$5.5\ kg=5.5*1,000=5,500\ g$

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3 years ago

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Tom [10]

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3 years ago

Determine whether this pair of lines is parellel, perpendicular, or neither 6+2x=3y 3x+2y=9 Choose the correct answer below. A.

andriy [413]

Answer:

Option A. These two lines are perpendicular

Step-by-step explanation:

we know that

If two lines are parallel, then their slopes are equal

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)

step 1

Convert the given equation A in slope intercept form

$y=mx+b$

where

m is the slope

b is the y-intercept

we have

$6+2x=3y$ ----> equation A

Solve for y

That means----> isolate the variable y

Divide by 3 both sides

$y=\frac{2}{3}x+2$

$m_A=\frac{2}{3}$

step 2

Convert the given equation B in slope intercept form

$y=mx+b$

where

m is the slope

b is the y-intercept

we have

$3x+2y=9$ ----> equation B

Solve for y

That means----> isolate the variable y

subtract 3x both sides

$2y=-3x+9$

Divide by 2 both sides

$y=-\frac{3}{2}x+4.6$

$m_B=-\frac{3}{2}$

step 3

Compare the slopes

$m_A=\frac{2}{3}$

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4 years ago

Look at attached picture

Arte-miy333 [17]

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Step-by-step explanation:

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6 0

4 years ago

Karen notices that segment BC and segment EF are congruent in the image below:

LenaWriter [7]

Answer:

Givens:

$A(-2;2) \ B(-2;4) \ C(0;3) \ D(2;1) \ E(2;3) \ F(0;2)$
$BC \cong EF$
$\angle C \cong \angle F$

Using this information we could recur to SAS postulate to demonstrate the congruence of this pair of triangles. We already have one side and one angle congruent, we just need to demonstrate that $AC \cong DF$ , that will prove the complete congruence.

So, based on the given coordinates, we're able to calculate the length of each side and find if they are the same. We use this formula:

$d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}\\d_{AC} =\sqrt{(0-(-2))^{2}+(3-2)^{2}}=\sqrt{4+1}=\sqrt{5}\\\\\d_{DF} =\sqrt{(0-2)^{2}+(2-1)^{2}}=\sqrt{4+1}=\sqrt{5}$

Therefore, $AC \cong DF$ , because they have the same length.

Now, based on these congruences:

$BC \cong EF$
$\angle C \cong \angle F$
$AC \cong DF$

We demonstrate by the Side-Angle-Side (SAS) postulate that ΔABC ≅ ΔDEF.

6 0

3 years ago