The system of equations x+y=46 and 15x+9y=396 could be used to find the number of boxes of each item sold.
Step-by-step explanation:
Given,
Cost of one box of raspberry scones = $15.00
Cost of one box of lemon poppy seed muffins = $9.00
Total boxes sold = 46
Total revenue earned = $396
Let,
x be the number of raspberry scones sold.
y be the number of lemon poppy seed muffins sold.
According to given statement;
x+y=46 Eqn 1
15x+9y=396 Eqn 2
The system of equations x+y=46 and 15x+9y=396 could be used to find the number of boxes of each item sold.
This is a GCF problem,
find the GCF of 36 and 27. To do this, list out the factors for each number.
EX 36- 1×36, 2×18, so on and so on. Then do this for 27. The GCF will be the greatest factor. In this case, that is 9.
So there would be 9 groups because that is the greatest common factor.
there would be 4 roses in each group because 4×9= 36.
There are 3 carnations in each group because 9×3 =27.
So 9 groups with 4 roses and 3 carnations.
Answer:
Caleb arrived first 2 hours before Alyssa
Step-by-step explanation:
To solve the situation, find the speed per hour they were driving by dividing the distance they drove by the time it took.
Alyssa drove 105 miles in 3.5 hours or 105/3.5 = 30 miles per hour.
Caleb drove 168 miles in 4 hours or 168/4 = 42 miles per hour.
Since they both left at the same time and drove the same 210 miles to the beach, Caleb arrived first since he was driving faster.
He arrived in 210/42 = 5 hours.
Alyssa arrived in 210/30 = 7 hours.
He arrived 2 hours before her.
The number of cars that sold on the third week is (P3=26)
The number of cars that sold on the first week is (P4=33)
<u>Step-by-step explanation:</u>
<u>Given:</u>
- The number of cars that sold on the first week is (P0=7)
- The number of cars that sold on the second week is (P0=12)
We have to find the number of cars being sold on the upcoming week
From the data given above, frame the equation
Pn = Pn −1+7 ( 12-5=7 it denotes the cars sold in the first and the second week)
Pn=5+7n (cars in the first week and the cars sold in the second week into "n" n is used to find the cars sold in the upcoming weeks)
(If n=3)
Pn=5+7(3)
Pn=26
The number of cars that sold on the third week is (P3=26)
(If n=4)
Pn=5+7(4)
Pn=33
The number of cars that sold on the first week is (P4=33)
Answer:
Step-by-step explanation:
Subtract 73 from 180 to get 107. Then divide 107 by 2 to get 53.5 degrees. For each angle. Meaning angle B is 53.5 or 54 degrees.