Answer:
Money Ivan gets extra = 120 - 30 (or 3x) = 90
Step-by-step explanation:
Ivan = 4x
Tanya = 1x
Total = 150
4x + x = 150
5x = 150 ; x = 150 / 5 = 30
Ivan = 4x = 120
Tanya = 1x = 30
Money Ivan gets extra = 120 - 30 (or 3x) = 90
Answer:
314 units²
Step-by-step explanation:
Centre of the circle = (0, 0)
Another point on the circle = (-6, -8)
Area = π (10)² = 100π = 314 units²
Answer:
a 4 1/5
b 7 7/24
Step-by-step explanation:
a 7/9 * 5 2/5
Change the mixed number to an improper fraction
7/9 * (5*5+2)/5
7/9 * 27/5
Rewrite
7/5 * 27/9
7/5 * 3
21/5
Change this back to a mixed number
5 goes into 21 4 times (4*5 = 20 ) with 1 left over
4 1/5
b 1 3/4 * 4 1/6
Change to improper fractions
(4*1+3)/4 * (6*4+1)/6
7/4 * 25/6
175/24
Change back to a mixed number
24 goes into 175 7 times (7*24 =168 ) with 7 left over
7 7/24
Answer:
a. there's a lot of options but here are a few: 1 and 5, 5 and 6, 2 and 1, 2 and 6
b. also a lot of options but here are a few: 1 and 6, 5 and 2, 3 and 8, 4 and 7
Step-by-step explanation:
supplementary angles are two angles that add up to 180 degrees, so essentially two angles that, combined, are equal to a straight line.
vertical angles are angles that are opposite each other when two lines cross.
The formula for obtaining the value of a term of a sequence is given as a
as a recursive formula.
Responses:
- The information as a sequence is; R1, 2·R1, 4·R1, 8·R1, 16·R1, ...
- The sequence of the information is a geometric sequence
<h3>How is the given information expressed as a sequence?</h3>
The amount of pocket money Smith gets = 2 × The amount he gets in the previous day
The amount Smith gets on the first day = R1
Required:
The given information expressed as a sequence.
Solution:
The amount of money smith gets can be expressed as follows;
Amount he gets on day 1 = R1
On day 2, R2 = 2·R1
On day 3, R3 = 2·R2 = 2·2·R1 = 4·R1
On day 4, R4 = 2·R3 = 2·2·2·R1 = 8·R1
On day 5, R5 = 2·R4 = 2·2·2·2··R1 = 16·R1
The information written as a sequence is therefore;
- R1, 2·R1, 4·R1, 8·R1, 16·R1, ...
- The type of sequence is a<u> geometric sequence, or progression</u> where the first term is R1, and the common ratio, r = 2
Learn more about geometric sequence here:
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