Answer:
The number of fast songs is 64 and the number of slow songs is 32
Step-by-step explanation:
∵ Y represents the number of fast songs
∵ x represents the number of slow dance songs
∵ John gets to play a total of 96 songs at his school dance
→ That means the sum of x and y is 96
∴ x + y = 96 ⇒ (1)
∵ He wants twice as many fast songs, y, as slow dance songs, x
→ That means y is twice x
∴ y = 2x ⇒ (2)
→ Substitute y in equation (1) by equation (2)
∵ x + 2x = 96
∴ 3x = 96
→ Divide both sides by 3 to find x
∴ 
∴ x = 32
→ Substitute the value of x in equation (2) to find the value of y
∵ y = 2(32)
∴ y = 64
∴ The number of fast songs is 64 and the number of slow songs is 32
Step-by-step explanation:
this is confusing.
first the description says "the internal dimensions".
and then it tells us the thickness of the tank walls (1cm).
so, I am not sure what the given numbers describe.
in any case, the volume is length × width × height.
so, either
48×38×32
or
46×36×31 (as for length and width we need to consider 2 walls, one on each end, for the height only one wall, as the tank is open and lidless.
whatever you choose, make sure to mark the result as cm³.
Are these 3 separate questions?
Answer:
multiply a term by 2 and add 1 to get the next term
Step-by-step explanation:
3×2=6 +1 =7
7×2=14+1= 15
15×2=30+1=31
Answer & Step-by-step explanation:
Vertical angles are congruent meaning that these two angles are going to have the same measurement. Since we know this, then we can set up an equation where one angle is equal to the other.
x + 10 = 55
Subtract 10 on both sides of the equation.
x = 45
So, the value of x is 45.
