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2 years ago

8

Apples are on sale for \$3.12$3.12dollar sign, 3, point, 12 per kilogram. Is the total cost of the apples proportional to the to

tal mass?
I need the answer asap

2 answers:

Vilka [71]2 years ago

6 0

Answer:

Yes

Step-by-step explanation:

Cost = 3.12 × n

Where n is the no. of kgs

kotykmax [81]2 years ago

3 0

Answer:

yes 3

Step-by-step explanation:

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2. Given a quadrilateral with vertices (−1, 3), (1, 5), (5, 1), and (3,−1):

zlopas [31]

<h2>Explanation:</h2>

In every rectangle, the two diagonals have the same length. If a quadrilateral's diagonals have the same length, that doesn't mean it has to be a rectangle, but if a parallelogram's diagonals have the same length, then it's definitely a rectangle.

So first of all, let's prove this is a parallelogram. The basic definition of a parallelogram is that it is a quadrilateral where both pairs of opposite sides are parallel.

So let's name the vertices as:

$A(-1,3) \\ \\ B(1,5) \\ \\ C(5,1) \\ \\ D(3,-1)$

First pair of opposite sides:

<u>Slope:</u>

$\text{For AB}: \\ \\ m=\frac{5-3}{1-(-1)}=1 \\ \\ \\ \text{For CD}: \\ \\ m=\frac{1-(-1)}{5-3}=1 \\ \\ \\ \text{So AB and CD are parallel}$

Second pair of opposite sides:

<u>Slope:</u>

$\text{For BC}: \\ \\ m=\frac{1-5}{5-1}=-1 \\ \\ \\ \text{For AD}: \\ \\ m=\frac{-1-3}{3-(-1)}=-1 \\ \\ \\ \text{So BC and AD are parallel}$

So in fact this is a parallelogram. The other thing we need to prove is that the diagonals measure the same. Using distance formula:

$d=\sqrt{(y_{2}-y_{1})^2+(x_{2}-x_{1})^2} \\ \\ \\ Diagonal \ BD: \\ \\ d=\sqrt{(5-(-1))^2+(1-3)^2}=2\sqrt{10} \\ \\ \\ Diagonal \ AC: \\ \\ d=\sqrt{(3-1)^2+(-5-1)^2}=2\sqrt{10} \\ \\ \\$

So the diagonals measure the same, therefore this is a rectangle.

5 0

3 years ago

If i only have 1/3 cups how many 1/3cups do i need to make a cup? answer asap!?

Mrac [35]

Answer:

2 1/3 ssssssssssssddddss

6 0

2 years ago

Read 2 more answers

Ms. Medina asked the class to solve the equation 2(x+4)=18.

7nadin3 [17]

Answer:

PEMDAS parentheses exponents multiplication divide add subtract....

4 0

3 years ago

Read 2 more answers

Cole rode his bike twice as far as Anita did today. Is this situation modeled by an expression or equation? How do you know?

Over [174]

Answer:

equation

Step-by-step explanation:

Let X is the distance that Anita rode

Let Y is the distance that Cole rode

Cole rode his bike twice as far as Anita, which mean:

Y = 2X

So this situation modeled by an equation

8 0

2 years ago

Solve for u.<br> 36 – 9u = 27

strojnjashka [21]

Answer:

u = 1

Step-by-step explanation:

First, we can use inverse operations to help.

27 + 9u = 36

Next, we can start replacing u with numbers to find which number fits in u.

27 + 9(1) = 36

27 + 9(2) ≠ 36

27 + 9(3) ≠ 36

Now, we know that u = 1

8 0

3 years ago