Answer:
0, 1, 2, 3
Step-by-step explanation:
-1 < x < 4 means that x has to be an integer (whole number aka no fractions) between -1 and 4. Note that the < and > means that x cannot be -1 or 4 since it has to be greater than -1, or smaller than 4.
Answer: 6 times 10 Superscript 11
Step-by-step explanation:
Scientific notation is in the form ;
A.0 x 
,
where :
A = any number from 1 to 9
n = integers , that is , n must be whole numbers
Following this rule , the correct answer is
6 x 
which is 6 times 10 Superscript 11
We have a right triangle with legs of 6 and 8. The hypotenuse is unknown so let it be x for now
Plug these three values
a = 6
b = 8
c = x
into the Pythagorean Theorem below. Then solve for x
a^2 + b^2 = c^2
6^2 + 8^2 = x^2
36+64 = x^2
100 = x^2
x^2 = 100
sqrt(x^2) = sqrt(100) ... apply the square root to both sides
x = 10
The final answer is 10 ft. This option isn't listed which makes me think your teacher made a typo somewhere.
- It is important to note that:
A nickel = $0.05
A dime = $0.10
We would be representing,
The number of nickels = n
The number of dimes = d
- Kendra has $3.15 in dimes and nickels. Writing this statement as an algebraic expression:
0.05n + 0.10d = 3.15...............Equation 1
- She has 4 times as many dimes as nickels. The algebraic expression for this statement :
4n = d ........................................ Equation 2
We would substitute 4n for d in Equation 1
0.05n + 0.10 x 4n = 3.15...............Equation 3
0.05n + 0.4n = 3.15
0.45n = 3.15
Divide both sides by 0.45
0.45n/0.45 = 3.15/0.45
n = 7
The number of nickels is 7
We solve for d, the number of dimes
4n = d
n = 7
4 x 7 = d
28 = d
The number of dimes is 28
Therefore, Kendra has 7 nickels and 28 dimes
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brainly.com/question/14749963
