The answer is A.
Divide 300 by the number of faces of a cube.
Since there are 6 faces on a cube then we divide it.
300 ÷ 6 = 50.
So exactly 50 times.
Hope this helps :)
Step-by-step explanation:
We assume that the advertising rates in this journal for full-page ads is x ($/ad); the rate for half-page ads is y ($/ad).
The revenue for 3 full page ads are: 3x ($)
The revenue for 5 half page ads are: 5y ($)
One issue of a journal has 3 full-page ads and 5 half-page ads, generating $6340.
=> The total revenue for 3 full page and 5 half page ads are $6340
=> 3x + 5y = 6340
The revenue for 4 full page ads are: 4x ($)
The revenue for 4 half page ads are: 4y ($)
One issue of a journal has 4 full-page ads and 4 half-page ads, generating $6625.
=> The total revenue for 4 full page and 4 half page ads are $6625
=> 4x + 4y = 6625 (1)
We have:
+) 3x + 5y = 6340
=> 5y = 6340 - 3x
=> y = (6340 - 3x)/5 = 1268 - 0.6x
Replace <em>y = 1268 - 0.6x </em>into (1), we have:
4x + 4y = 6625
⇔4x + 4(1268 - 0.6x) = 6625
⇔ 4x + 5072 - 2.4x = 6625
⇔ 1.6x = 1553
⇔ x = 1553/1.6 = 970.625
=> y = 1268 - 0.6x = 1268 - 0.6*970.625= 1268 - 582.375 = 685.625
So the advertising rate for full page ads is $970.625, for half-page ads is $685.625
Answer:
Putting the value in x = 2 , y =4 in 2x - 2y we get,
2 × 2 - 4× 2= 4-8 = -4
Putting the value in z = 3 in z - 5 we get,
z - 5 = 3 - 5 = -2
Answer:
The volume of the light sphere is 2355in³
Step-by-step explanation:
We know that the formula to calculate the volume of a sphere is
v = 3/4 * π * r³
we know that the diameter is 20in but we need to know the radius, the radius is half the diameter
r = 1/2 * 20in
r = 10 in
π = 3.14
we replace the values and calculate the volume of a sphere
v = 3/4 * 3.14 * (10in)³
v = 3/4 * 3.14 * (1000in³)
v = 2355in³
The volume of the light sphere is 2355in³
Answer:

Step-by-step explanation:
We know that

Given :

So 4 is the opposite side of theta.

We use the Pythagorean theorem to find for the adjacent side.