Answer:
13.89 to 2 dec places.
Step-by-step explanation:
a7 / a5 = r^2 where r is the common ratio.
So 3/5 = r^2
r^2 = 0.6
r = +√0.6
r = 0.7746.
The first term is a5 / r^4
= 5 / (0.7746)^4
= 13.89.
The answer is 160,000. Since it's positive,move the decimal point 5 times to the right.
ANSWER: 160,000
Answer:
B
Step-by-step explanation:
For this problem, let us find the respective speeds of Jasmine and Caroline and compare the two. All we have to do is divide #minutes by #miles to find the time spent per <u>one</u> mile.
Jasmine:

minutes per mile
Caroline:

minutes per mile
Since Caroline takes longer to run a mile than Jasmine, We now know that Jasmine ran at a faster pace:

<u>B. Jasmine ran at a faster pace because she ran 0.3 minutes faster per mile.</u>
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<em>I hope this helps! Let me know if you hae any questions :)</em>
Answer:
17/40
Step-by-step explanation:
First let's find the least common denominator. The denominators are 8 and 25 so we need to find the least common multiple of 8 and 25.
8=2*2*2
25=5*5
Since they share no common factors the least common multiple of 8 and 25 is 8*25 which is 200.
Now we convert the fractions:
5/8*25/25=125/200
5/25*8/8=40/200
Then we subtract:
125/200-40/200=85/200
Now we simplify it:
17/40
Answer:
34cm²
Step-by-step explanation:
Find diagram in the attached file.
Since each square on the grid represent 1cm², the length of the each square will be 1cm
Area of the irregular shape can be gotten by breaking the irregular shape into three shapes which are the triangle, rectangle and a parallelogram.
Area of the irregular shape = area of triangle + area of rectangle + area of parallelogram
For TRIANGLE
Area of triangle = 1/2×base×height
Since the base of triangle is on 4square grid,
Base = 4cm
Height = 2cm
Area = 1/2×4×2
Area of ∆ = 4cm²
FOR RECTANGLE
Area of rectangle = Length ×Breadth
Length = 3cm
Breadth = 5cm
Area of the rectangular shape = 3×5
= 15cm²
FOR PARALLELOGRAM
Area of a parallelogram = Base × Height
Base = 5cm
Height = 3cm
Area = 5cm×3cm
Area = 15cm²
Area of the irregular shape = 4cm²+15cm²+15cm²
=34cm²