Answer:
B
Step-by-step explanation:
We can use the Pythagorean theorem to solve this.
(13)^2 = (8)^2+x^2
169 = 64 + x^2
x^2 = 105
x is approximately 10.2, so B
Answer:
22:35
Step-by-step explanation:
Find the GCD (or HCF) of numerator and denominator
GCD of 66 and 105 is 3
Divide both the numerator and denominator by the GCD
66 ÷ 3/105 ÷ 3
Reduced fraction:
22/35
therefore the ratio will be 22:35
Answer:
(4x^2 + 3)(x + 3)
Step-by-step explanation:
Split the equation in the middle so you can factor it out:
4x^3 + 12x^2 | + 3x + 9
Then factor out:
4x^2(x + 3) | 3(x + 3)
Congrats, you completed your equation:
(4x^2 + 3)(x + 3)
9514 1404 393
Answer:
12 dimes
Step-by-step explanation:
Let q represent the number of quarters. Then the number of dimes is 16-q and the total value is ...
0.25q +0.10(16 -q) = 2.20
0.15q +1.60 = 2.20 . . . . . . . simplify
0.15q = 0.60 . . . . . . . . subtract 1.60
q = 4 . . . . . . . . . . . divide by 0.15
16-q = 12
There are 12 dimes in the collection.
Answer:
60 ; 5220
Step-by-step explanation:
A) From the horizontal bar chart provided, it could be inferred that 85 people spell the word 'weird' correctly. The graph is scaled on a fixed interval of 10. Hence, the midpoint of 10 = 5
(80 + 5) = 85
B) In a group consisting of 8719 randomly selected people estimate how many more people can correctly spell weird than inoculate
From the graph :
85 per 100 could spell weird correctly while,
About 25 per 100 could spell inoculate correctly.
Difference In number per 100 people
(85 - 25) = 60 people per 100
We could round 8719 to the nearest 100 = 8700
Number of 100's in 8700 = 8700/100 = 87
(87 × 60) = 5,220 people
