If 25 kilograms of butter cost $37.50, how much does 8 kilograms cost?

What is the unit price if 4 pounds of fruit cost $6.48

ArbitrLikvidat [17]

It's $6.48 divided by 4. So the answer is $1.62

8 0

3 years ago

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Suppose two vectors point in opposite directions. This means their cross product must be zero. True or false?

snow_tiger [21]

It is true if two vectors point in opposite directions. This means their cross product must be zero.

<h3>What is cross product?</h3>

Cross product is a vector product of two vectors in the three dimensional vector space.

In the case when the two vectors point in opposite directions so there cross product should be zero.

Impact on two points:

In the case when the two vectors point in opposite directions so there cross product should be zero.

Like

A*B = [A][B] sin

Here theta is be the angle that lies between them

So,

A*B = [A][B] sin 180

So, A*B = 0

hence, the given statement is true.

learn more about vectors here:

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#SPJ4

8 0

2 years ago

The system of equations y= 1/4 x-1and y=-1/2 x-1/4 shown on the graph below

Ksenya-84 [330]

Answer:

The value of x , y coordinate is ( 1, $\dfrac{-3}{4}$ )

and Plotting the points on graph

Step-by-step explanation:

Given as :

The system of equation is

y = $\dfrac{1}{4}$ x - 1

The equation can be written as

4 y = x - 4

Or, 4 y - x + 4 = 0 ........1

y = - $\dfrac{1}{2}$ x - $\dfrac{1}{4}$

The equation can be written as

4 y + 2 x + 1 = 0 ..........2

Solving the equation

i.e ( x - 4 ) + 2 x + 1 = 0

or, 3 x - 4 + 1 = 0

or, 3 x = - 1 + 4

∴ 3 x = 3

I.e x = 1

Put the value of x in eq 1

So, 4 y - x + 4 = 0

or, 4 y - 1 + 4 = 0

or, 4 y + 3 = 0

or, 4 y = - 3

∴ y = $\dfrac{-3}{4}$

So, The value of x , y coordinate is ( x ,y ) = ( 1 , $\dfrac{-3}{4}$ )

Hence The value of x , y coordinate is ( 1, $\dfrac{-3}{4}$ )

and Plotting the points on graph Answer

3 0

3 years ago

Explain the distance formula. Then use it to calculate the

Alex777 [14]

Answer:

$dAB=10\ units$

Step-by-step explanation:

we know that

The <u>distance formula</u> is derived by creating a triangle and using the Pythagorean theorem to find the length of the hypotenuse. The hypotenuse of the triangle is the distance between the two points

The formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

we have

A(1, 1) and B(7, −7)

Let

(x1,y1)=A(1, 1)

(x2,y2)=B(7, −7)

substitute the given values in the formula

$dAB=\sqrt{(-7-1)^{2}+(7-1)^{2}}$

$dAB=\sqrt{(-8)^{2}+(6)^{2}}$

$dAB=\sqrt{64+36}$

$dAB=\sqrt{100}$

$dAB=10\ units$

6 0

3 years ago

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Jason’s credit card has an apr of 17.02% and a 30-day billling cycle. the following table details jason’s transactions with that

forsale [732]

The method of computing that would result in a greater finance charge is a. the daily balance method will have a finance charge $1.02 greater than the adjusted balance method.

<h3>What is the Adjusted Balance Method?</h3>

This refers to the method of accounting that makes use of the owed amount of money at the end of a billing cycle to make its computation on an account after the credits are calculated.

Hence, we can see that when comparing the adjusted balance method to the daily balance method that calculates the interest charges at the end of the day, the daily balance method would have a higher finance charge.

Read more about adjusted balance methods here:

brainly.com/question/1808408

5 0

2 years ago

If 25 kilograms of butter cost $37.50, how much does 8 kilograms cost?​

If 25 kilograms of butter cost $37.50, how much does 8 kilograms cost?