The ratio of marbles to stones in a large pot is 6 to 7. if there are 42 marbles, the how many stones are there?

The ratio of marbles to stones in a large pot is 6 to 7. If there are 42 marbles, then the total number of stones is 49

Solution:

Let the no of marble be 6x and number of stones be 7x.

In the question it is given that there are 42 marbles which means

6x = 42

We will now find the value of x by dividing 42 by 6

x =

x = 7

Now putting the value of x = 7 in number of stones which is equal to 7x, we get

Number of stones = 7 7 = 49.

The total number of stones = 49

< 4, -5>

step-by-step explanation:

starting from g. we move 4 right and then 5 down to get to h. that means the vector is < 4, -5>

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq