For problem one she starts off earning 10.24 dollars per hour. She receives a raise of 1.60 dollars. So first you have to add both 10.24 and 1.60 together to find out how much more she is payed. 10.24+1.60=12.04. She works 22.25 hours. It would take forever to add 12.04 22 and a quarter times so you multiply them. 12.04*22.25=267.89. So she would earn 267.89 dollars from working 22.25 hours.
For problem two you would start off by dividing 3/4 (the amount of pizza) by 5 (the five people) because when you do this it will give you the equal amount of pizza that each person can have. You get 0.15 which is equal to 3/20. So each person will get 3/20 of the 3/4 of the pizza that are left. (To simplify it the answer is 3/20) you can check your work by doing 3*5 which is 15. Make this the numerator and it’s 15/20. 15/20=3/4.
For the third problem you start off by putting aside the .25 of an ounce. Take the 3 ounces and multiply it by the cost per ounce 3.56. 3*3.56=10.68. Now that you have figured out how much 3 ounces cost out that aside. Now for the .25 of an ounce. Since .25 goes into one four times you do 3.56/4. It’s 0.89. This is how much it costs per .25 of an ounce. After that you add 10.68+0.89. It’s 11.57. To finish the problem you have to subtract 11.57 from 20 dollars. 20.00-11.57=8.43. The teacher receives $8.43 in change.
Answer:
Check the explanation
Step-by-step explanation:
Y = 11.5 + 4.5*X1 -2.5*X2 +0.7*X3+1.6*X4 -2.4*X5 -2.8*X6
FOR JANE
X1 =1 , X2 =1 , X3 =5 , X4 =0 ,X5=0, X6=1
SO,
Y =11.5+(4.5*1)-(2.5*1)+(0.7*5)+0+0-(2.8*1)
= 14.2
..........................
FOR Sophie
X1 =1 , X2 =1 , X3 =10 , X4 =1 ,X5=0, X6=0
so,
Y =11.5+(4.5*1)-(2.5*1)+(0.7*10)+ (1.6*1)+0+0
= 22.1
Answer:
a. 8
b. 114
Step-by-step explanation:
a.
36/6 = 48/x
36x = 288
x = 8
b.
12/72 = 19/x
1/6 = 19/x
x = 114
<span>The doubling time is the period of time required for a quantity to double in size or value. It is applied to population growth, inflation, resource extraction, consumption of goods, compound interest, the volume of malignant tumours, and many other things that tend to grow over time.</span>
Answer:
8^4
Step-by-step explanation:
Here we have:
8^6 · 8³
-------------
8^5
That's multiplication in the numerator. The appropriate rule of exponents states that:
8^a·8^b = 8^(a+b), so the numerator is equivalent to 8^(6 + 3) = 8^9.
Now we have
8^9
------
8^5
and the appropriate rule for division here is
8^a / 8^b = 8^(a - b)
So our:
8^9
--------- 8^(9-5) = 8^4
8^5