Answer: x=38
Step-by-step explanation:
x+(-15)=23
x-15=23
+15 +15
x=38
When there is a positive and negative sign the negative sign cancels the positive sign.
Answer:
sp with vat=9040
d=20%
vat=13%
mp=?
Step-by-step explanation:
sp with vat=9040
sp+vat%of sp=9040
sp(1+13/100)=9040
sp=9040/1.13=8000
- mp=sp+d%ofmp
- mp-d%ofmp=sp
- mp(1-20/100)=8000
- mp=8000/0.8=10000
855=95d
855 minutes is equal to 95 minutes times the number of days run
Answer:
Step-by-step explanation:
Find AOS
X = -b/2a
X = -65/2(-14)
X = -65/-28
X = 2.32 secs
t = 2.32secs
A) y value when t = 2.32 is the maximum height.
Substitute t in the equation.
h(t)= -14t^2+65t+1.75
h(t)= (-14 * 2.32²) + (65 * 2.32) + 1.75
= (-14 * 5.38 ) + (65 * 2.32) + 1.75
= -75.35 + 150.8 + 1.75
= 77.2 ft
Maximum height attained by the ball = 77.2 ft
B) Time the maximum height achieved = 2.32secs
C) The ball off of the ground when it was shot is well t = 0
Substitute t in equation
h(t)= -14t^2+65t+1.75
h(0)= (-14 * 0²) + (65 * 0) + 1.75
= 0 + 0 + 1.75ft
The ball is 1.75ft off the ground when it was shot.
Answer:
k = 4
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtract Property of Equality
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
2(k - 5) + 3k = k + 6
<u>Step 2: Solve for </u><em><u>k</u></em>
- Distribute 2: 2k - 10 + 3k = k + 6
- Combine like terms: 5k - 10 = k + 6
- Subtract <em>k</em> on both sides: 4k - 10 = 6
- Add 10 on both sides: 4k = 16
- Divide 4 on both sides: k = 4
<u>Step 3: Check</u>
<em>Plug in k into the original equation to verify it's a solution.</em>
- Substitute in <em>k</em>: 2(4 - 5) + 3(4) = 4 + 6
- (Parenthesis) Subtract: 2(-1) + 3(4) = 4 + 6
- Multiply: -2 + 12 = 4 + 6
- Add: 10 = 10
Here we see that 10 does indeed equal 10.
∴ k = 4 is the solution to the equation.
