Answer:
Number of $1 coins are 25 and number of 50 cent coins are 30.
Step-by-step explanation:
Let's set up the equations.
Let there are x number of $1 coins
There are y number of 50 cent coins
So, x+y =55
1 x+0.50 y =40
Solve the equations for x and y.
Solve the first equation for y.
y=55-x
Substitute y as 55-x into the second equation.
1 x+0.50(55-x)=40
Solve the equation for 'x'.
Distribute the 0.50 to get rid the ( ).
1 x+27.5-0.50 x= 40
Combine like terms
0.50 x +27.5=40
Subtract both sides 27.5
0.50 x =12.5
Divide both sides by 0.50
x=25
Now, plug in x as 25
y=55-25
y=30
So, number of $1 coins are 25 and number of 50 cent coins are 30.
Assume that the number of leaves raked by Adam is x.
Tapiwa raked 5% more leaves than Adam, this means that:
Leaves raked by Tapiwa = x + 0.05x = 1.05x liters
We are given that the total number of raked leaves is 697 liters.
This means that:
Total raked = raked by Adam + raked by Tapiwa
697 = x + 1.05x
697 = 2.05x
x = 697 / 2.05
x = 340
Based on the above calculations:
Adam raked 340 liters of leaves
Tapiwa raked 1.05(340) = 357 liters of leaves
From 1st condition:
3^(x+1)=81
Take log on both sides,
➡ log [3^(x+1)]=log81
Use the property: log(x^a)=a logx
➡ (x+1) log 3=log(3⁴)
➡ (x+1) log 3=4×log 3
➡ (x+1)=4 (log 3 /log 3)
➡ x+1=4
➡ x=3➡↪➡↪ ANS
From 2nd condition, (Same process are repeated)
81^(x-y)=3
➡ 3^4(x-y)=3
➡ log [3^4(3-y)]=log 3
➡ 4(3-y) log 3=log 3
➡ (3-y)=(log 3)/(4log 3)
➡ 3-y=(1/4)
➡ y=11/4 ➡↪➡↪ ANS
Answer:
Answer is 11.
Step-by-step explanation:
Maria used two loaves of bread , One loaf is equal=2 1/4 cups so two becomes 2 ×2 1/4= 9/2
Maria makes the remaing 48 muffins of the flour left so,
One muffin is equal 3 1/4 cups so two becomes 2×3 1/4=13/2
Add both of them
9/2+13/2=11
Answer:
4 Containers Can Be Filled By Each Two Pound Bag Of Candy .
Step-by-step explanation:
GIven Two Pound Bag Of Candy Used To Fill Container That hold 
Pound Each .
Now There are 4 Container of Capacity Pound Needed To fill Exactly 3 two Pound Bags .
Thus 4 container have Total capacity Of 6 Pound . Which Is Easily Filled By The 3 two Pound Bags . ( Without Any Loss )
