Answer:
Maggie will run 5.85 miles next week.
Step-by-step explanation:
Given:
Maggie is training to run a 6 mile race.
This week Maggie ran = 4.5 miles
Also Given:
Next week she will run 1.3 times as far as she did this week.
We need to distance she will run next week.
Now we know Next week she will run 1.3 times as far as she did this week.
It means Distance to be run next week will be equal to 1.3 times distance she ran this week.
Framing in equation form we get;
distance she will run next week = 
Hence Maggie will run 5.85 miles next week.
Create a system if equations to solve this.
First equation:
25m + 24e = 220
Second equation:
m + e = 9
Then you must solve the second equation for a variable.
Change m + e = 9 to e = 9 - m.
Then substitute (9 - m) for e in the first equation.
So 25m +24e = 220 becomes 25m + 24(9 - m) = 220.
Now you can solve the first equation because the only variable in it is m.
25m + 24(9 - m) = 220 (Original equation)
25m + 216 - 24m = 220 (Distribute)
m + 216 = 220 (Combine like terms)
m = 4 (Simplify)
Now plug in 4 for m in the second equation.
m + e = 9 (Original equation)
(4) + e = 9 (Substitute)
e = 5 (Simplify)
m represents Math Books and e represents English Books, so Nicole purchased 4 Math Books and 5 English Books.
15,000 --> fifteen thousand
400 --> four hundred
00 --> zero
9 --> nine
If you put this all together it gives you fifteen thousand four hundred and nine.
She could make 20 servings of lasagna.
There are 4 servings per pound of lasagna, and there are 5 pounds total.
4 x 5 = 20
Answer:
Correct answer: (x - 10)² + y² = 441 / 4
Step-by-step explanation:
Given:
(a, b) = (10, 0) the coordinates of the center of the circle
(10, 21/2) circle passing through this point
The standard form of the circle equation is:
(x - a)² + (y - b)² = r² where r is radius of the circle
We will replace the given coordinates of the center of the circle and the point it passes through to get the radius of the circle:
(10 - 10)² + (21/2)² = r² ⇒ r² = (21/2)² = 441 / 4
r² = 441 / 4
(x - 10)² + y² = 441 / 4
God is with you!!!
