Answer:
z=5
Step-by-step explanation:
Answer:
0.75 or 3/4 cups
Step-by-step explanation:
Make a proportion
We need 1 1/4, or 1.25 cups of sugar for 20 cookies, and we need x cups of sugar for 12 cookies
1.25/20=x/12
To solve, we need to get the variable,x, by itself. It is being divided by 12. To reverse this, multiply both sides by 12.
12(1.25/20)=(x/12)12
The 12s on the right will cancel, and we are left with
0.75=x
0.75 is equivalent to 3/4
So, 0.75 or 3/4 cups of sugar is needed to make 12 cookies
Complete Question
It takes 28minutes for 7 people to paint 7 walls. How many minutes does it take 14 people to paint 14 walls?
Answer:
28 minutes
Step-by-step explanation:
It takes 28minutes for 7 people to paint 7 walls.
Hence, the today number of minutes for 1 person to paint the wall =>
7 people = 28 minutes
1 person = 28 minutes × 7 people =
198 people minutes = 7 walls
1 wall = 198 /7
1 wall = 28 people minutes
How many minutes does it take 14 people to paint 14 walls?
From the above calculation,
1 wall = 28 people minutes
14 walls =
= 14 walls × 28 people minutes/14 People
= 28 minutes
Therefore, it would take 28 minutes for 14 people to paint 14 walls.
Let, Number of multiple choice = x
Number of short answer question = y
Now, x + y = 20
& 3x + 11y = 100
Multiply 1st equation by 3, and subtract from eq,2,
3x + 3y = 60
After subtraction,
8y = 40
y = 40/8
y = 5
Now, substitute in eq (1),
x + 5 = 20
x = 15
In short, There are 15 Multiple choice & 5 short answer questions
Hope this helps!
Answer:
The exponential equation is;
y = 0.1•0.5^x
Step-by-step explanation:
Here, we want to get the exponential function represented by the table
Mathematically, the general form of an exponential function is;
y = a•b^x
By getting a and b, we have the exponential function
We can use any of the points;
Let us start with (0,0.1)
0.1 = a•b^0
anything raised to zero is 1
0.1 = a * 1
a = 0.1
Now, we have a
Let us work with the second point to get b
The point is (1,0.05)
0.05 = 0.1•b^1
0.05 = 0.1b
b = 0.05/0.1
b = 0.5
Thus, we have the equation as;
y = 0.1•0.5^x
