Answer:
steps below
Step-by-step explanation:
26458900 ... sum of odd digits 2+4+8+0=14 ...(1)
sum of even digits 6+5+9=20 ...(2)
(2)-(1): 20-14=6 Not multiple of 11, nor 0
conclusion: Not divisible by 11
26458900 ... last 2 digits is "00", 00 or #00 are divisible by 4
conclusion: divisible by 4
Answer:
1/8.
Step-by-step explanation:
Probability of getting a head in one throw = probability of getting a tail in one throw = 1/2.
Prob (H T H) = 1/2 * 1/2 * 1/2 = 1/8.
NOTE: The probabilities are multiplied because the 3 events are independent.
Answer:
The length of the case is 24 cm and its width is 17cm.
Step-by-step explanation:
The Length of a standard jewel case is 7cm more than its width.
Let the length be represented by L and the width be represented by W, this means that:
L = 7 + W
The area of the rectangular top of the case is 408cm². The area od a rectangle is given as:
A = L * W
Since L = 7 + W:
A = (7 + W) * W = 7W + W²
The area is 408 cm², hence:
408 = 7W + W²
Solving this as a quadratic equation:
=> W² + 7W - 408 = 0
W² + 24W - 17W - 408 = 0
W(W + 24) - 17(W + 24) = 0
(W - 17) (W + 24) = 0
=> W = 17cm or -24 cm
Since width cannot be negative, the width of the case is 17 cm.
Hence, the length, L, is:
L = 7 + 17 = 24cm.
The length of the case is 24 cm and its width is 17cm.
The fractional-number "40/3" can be expressed as "" in the "mixed-number" form.
To write the fraction "40/3" as "mixed-number" representation, we first determine the "fractional-part" and the "whole-number" part.
Dividing 40 by 3, we find that it is not evenly divisible. The quotient is 13, and the remainder is 1.
The whole number part is 13, indicating that there are 13 whole units. The fractional part is 1 out of 3, representing one-third of another unit.
Combining these, we can express 40/3 as the mixed number 13 1/3. It signifies 13 whole units and a fractional part of 1/3, indicating a value greater than 13 but less than 14.
Therefore, the required mixed-number is .
Learn more about Mixed Number here
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Answer:
1:2
Step-by-step explanation:
When 5:10 is simplified by 5 which would be...
10/5=2 and 5/5=1
Which equals to 1:2
Answer
The equivalent ratios are 1:5 and 2:10.
Explanation
To get from 5 to 10 you multiply by 2.
Do the same thing to the 1.
1 times 2 is 2.
For every one boy there are 5 girls. For every 2 boys, there are 10 girls.
P.S. LOLOLOL you use Big Ideas on an iPad?
0.9, 75%, 4/5
smallest to largest:
4/5, 0.9, 75%
hope I helped... :D
multiply polynomials (2n+2)(6n+1)
The multiplication of the expression ( 2n + 2 )( 6n + 1 ) is 12n² + 14n + 2.
Given the expression in the question:
( 2n + 2 )( 6n + 1 )
To multiply the expression ( 2n + 2 )( 6n + 1 ), we use the distributive property and the FOIL method.
( 2n + 2 )( 6n + 1 )
Using the Foil method:
2n( 6n + 1 ) + 2( 6n + 1 )
Using the distributive property:
2n × 6n + 2 × 1 + 2 × 6n + 2 × 1
Multiplying, we get:
12n² + 2n + 12n + 2
Collect and add the like terms:
12n² + 14n + 2
Therefore, the simplified form is 12n² + 14n + 2.
Learn more about the FOIL method here: brainly.com/question/27980306
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