Answer:
p = 5.52
Step-by-step explanation:
5(p - 0.65) = 24.35
Divide both sides by 5:
⇒ (5(p - 0.65) ÷ 5 = 24.35 ÷ 5
⇒ p - 0.65 = 4.87
Add 0.65 to both sides:
⇒ p - 0.65 + 0.65 = 4.87 + 0.65
⇒ p = 5.52
Answer:
16 blueberries and 4 strawberries
Step-by-step explanation:
Given:
A bowl contains blueberries and strawberries there are a total of 20 berries in the bowl.
The ratio blueberries to strawberries is 4 to 1
Question asked:
How many of each berry are in the bowl ?
Solution:
Ratio of blueberries and strawberries = 4 : 1
Let ratio be
Number of blueberries in the bowl =
Number of strawberries in the bowl =
As total berries in the bowl are 20 and the bowl contains both blueberries and strawberries in the ratio 4 : 1 :-
Dividing both sides by 5
Number of strawberries in the bowl = = 4
Number of blueberries in the bowl = =
Thus, there are 16 blueberries and 4 strawberries in the bowl.
1. 6=a/4+2
6-2=a/4
4=a/4
4(4)=a
a=16
2. -6+x/4=-5
x/4=-5+6
x/4=1
x=4
3. 9x-7=-7
9x=-7+7
9x=0
x=0
4. 0=4+n/5
-4=n/5
-4(5)=n
n=-20
5. -4=r/20-5
-4+5=r/20
1=r/20
r=20
6. -1=(5+x)/6
-1(6)=5+x
-6=5+x
x=-11
8. 2(n+5)=-2
n+5=-1
n=-6
9. -9x+1=-80
-9x=-81
x=9
10. -6=n/2-10
4=n/2
8=n
Answer:
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Functions
- Function Notation
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
F(x) = x² - 15
G(x) = 4 - x
<u>Step 2: Find</u>
- Substitute in functions:
<u>Step 3: Evaluate</u>
- Substitute in <em>x</em> [Function (F/G)(x)]:
- Exponents:
- Subtract:
Answer:
x = 6
Step-by-step explanation:
The inscribed angle is half the measure of its intercepted arc, that is
3x + 5 = 0.5 × 46 = 23 ( subtract 5 from both sides )
3x = 18 ( divide both sides by 3 )
x = 6