The sum of a positive number and 48 is 649 times the reciprocal of the number. What is the number?

ANSWER ASAP The ratio of red marbles to blue marbles in a jar is 3 to 8. There are 40 blue marbles in the jar. How many red marb

bogdanovich [222]

If the ratio of red marbles to blue marbles in a jar is 3 to 8, the meaning is for every 3 red marbles there are 8 blue marbles.
3 red marbles------------------8 blue marbles.

ratio=3/8

we have 40 blue marbles; we have to compute the number of red marbles.

1) Method 1; by the rule three.

3 red marbles-----------------8 blue marbles
x----------------------------------40 blue marbles

x=(3 red marbles * 40 blue marbles) / 8 blue marbles=15 red marbles.

answer: B. 15

Method 2: the ratio of red marbles to blue marbles is
ratio=number of red marbles / number of blue marbles
ratio=3/8

if we want to compute the number of red marbles we have to multiply the number of blue marbles by this ratio.

number of red marbles=ratio (red/blue)* number of blue marbles
number of red marbles=(3/8)*40=15

Answer: B.15

5 0

3 years ago

Which ordered pair could you remove from the relation {(–2, –1), (–1, 1), (–1, 0), (0, 1), (1, 0)} so that it becomes a function

trapecia [35]

A polynomial expression can only be categorized into a function if and only if a single input can only have one and only output. This means that there should be no more than one dissimilar values of y for the same value of x.

Evaluating the givens above, it can be observed that there are two -1's as an x-coordinate and it has two outputs, 0 and 1. Thus, we can remove either (-1,0) or (-1,1) for the relationship to become a function.

4 0

3 years ago

What is the equation of the line in standard form of the graph below?

Mashcka [7]

Answer:

Step-by-step explanation:

8 0

1 year ago

What is the diameter of this disk

ad-work [718]

I believe the diameter would be 12
d=2r

3 0

2 years ago

Read 2 more answers

Let c be the curve of intersection of the parabolic cylinder x2 = 2y, and the surface 3z = xy. find the exact length of c from t

Mandarinka [93]

Parameterize the intersection by setting $x(t)=t$ , so that

$x^2=2y\iff y=\dfrac{x^2}2\implies y(t)=\dfrac{t^2}2$
$3z=xy\iff z=\dfrac{xy}3\implies z(t)=\dfrac{t^3}6$

The length of the path $C$ is then given by the line integral along $C$ ,

$\displaystyle\int_C\mathrm dS$

where $\mathrm dS=\sqrt{\left(\dfrac{\mathrm dx}{\mathrm dt}\right)^2+\left(\dfrac{\mathrm dy}{\mathrm dt}\right)^2+\left(\dfrac{\mathrm dz}{\mathrm dt}\right)^2}\,\mathrm dt$ . We have

$\dfrac{\mathrm dx}{\mathrm dt}=1$
$\dfrac{\mathrm dy}{\mathrm dt}=t$
$\dfrac{\mathrm dz}{\mathrm dt}=\dfrac{t^2}2$

and so the line integral is

$\displaystyle\int_{t=0}^{t=2}\sqrt{1^2+t^2+\dfrac{t^4}4}\,\mathrm dt$

This result is fortuitous, since we can write

$1+t^2+\dfrac{t^4}4=\dfrac14(t^4+4t^2+4)=\dfrac{(t^2+2)^2}4=\left(\dfrac{t^2+2}2\right)^2$

and so the integral reduces to

$\displaystyle\int_{t=0}^{t=2}\frac{t^2+2}2\,\mathrm dt=\dfrac{10}3$

3 0

3 years ago