Answer:
x = -17/16
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
- Subtraction Property of Equality<u>
</u>
Step-by-step explanation:
<u>Step 1: Define</u>
-8 = 16x + 9
<u>Step 2: Solve for </u><em><u>x</u></em>
- [Subtraction Property of Equality] Subtract 9 on both sides: -17 = 16x
- [Division Property of Equality] Divide 16 on both sides: -17/16 = x
- Rearrange/Rewrite: x = -17/16
<u>Step 3: Check</u>
<em>Plug in x into the original equation to verify it's a solution.</em>
- Substitute in <em>x</em>: -8 = 16(-17/16) + 9
- Multiply: -8 = -17 + 9
- Add: -8 = -8
Here we see that -8 does indeed equal -8.
∴ x = -17/16 is the solution to the equation.
For question number one:
We know that in similar triangles, corresponding sides are proportional.
In this scenario we have two triangles- one made by a stop sign and a shadow and one by a tree and its shadow.
The side of the triangle that is represented by the shadow of the stop sign is proportional to the side of the larger triangle represented by the shadow of the tree.
Also, the side of the smaller triangle that is represented by the height of the stop sign is proportional to the side of the bigger triangle represented by the height of the tree.
Using this information we can conclude that 12/42=18/h
By cross multiplying: 12h=42(18)
solve for h: (42)(18)/(12)=h
calculate: h=63
The height of the tree is 63 ft.
Answer:
Option C. 10 square inch
Step-by-step explanation:
Net of a prism is shown on the coordinate plane. We have to calculate the surface area of the prism.
To calculate the surface area of the net we will calculate the area of the four large rectangles and two squares given in the picture.
Total surface area of the net = 2× small squares + 4×large rectangles
= 2×(1×1) + 4×(1×2) = 2 + 8 = 10 square inch.
Therefore option C. 10 square inch is the answer.
Answer:
Step-by-step explanation:
We are given that 30% of California residents have adequate earthquake supplies.
a) Ramon variable X denotes the number of the california residents that have adequate earthquake insurance
B) x can take value 1 ,2 ,3 ......
C)The distribution of random variable is geometric distribution with parameter p=0.3
The pmf of geometric distribution is
D)P(X=1) or P(X=2)=P(X=1)+P(X=2)
P(X=1) or P(X=2)=
E)
F)
p is the resident who does not have adequate earthquake supplies.
p = 1-0.3 = 0.7
G)
