Answer: 8 cupcakes per box
Step-by-step explanation: "Per box" means in 1 box, so we can rewrite the given statement using fractions as
<em>48 cupcakes/6 boxes</em> = <em>__ cupcakes/1 box</em>.
To find out what goes in the blank, notice that we
have a 1 in the denominator of our second fraction.
So we want to find a fraction that is equivalent
to 48/6 that has a 1 in the denominator.
If we divide the numerator and denominator of 48/6 by 6,
we get the equivalent fraction 8/1 or <em>8 cupcakes/1 box</em>.
So now we have <em>8 cupcakes/1 box = __cupcakes/1 box</em>.
So an 8 must go in the blank which means that the unit rate
for 48 cupcakes in 6 boxes is <em>8 cupcakes per box</em>.
Ten times 45 is equal to 450
The other x-intercept is (2,0)
Answer:
21.38
Step-by-step explanation:
Find the diagram attached
In order to get PS, we need to get the length of QS first
According to triangle QRS;
QS =opposite
QR = 39(adjacent)
Using SOH CAH TOA
Tan theta = opp/adj
Tan 28 = QS/39
QS = 39tan28
QS = 39(0.5317)
QS = 20.74
Get PS
sin theta = QS/PS
sin 76 = 20.74/PS
PS = 20.74/sin76
PS = 20.74/0.9703
PS = 21.38
Hence the length of PS is 21.38
Answer:
<u>4 miles per hour</u>
Step-by-step explanation:
Rate of work :
- Change in distance covered (miles) / Change in time taken (hours)
- 33 - 21 / 6 - 3
- 12/3
- <u>4 miles per hour</u>