The equivalent ratio is 8 : 4.
And the missing values are as follows 21, 6 and 48.
Complete table be,
Plum 14 42 6 48
Grape 7 21 3 24
Given, a ratio table
Plum 14 42 __ __
Grape 7 __ 3 24
we have to find the missing values and the equivalent ratios.
in the first ratio,
Plum : Grape = 14 : 7 = 2 : 1
Now, in the second ratio,
2 : 1 = 42 : __
x = 21
Now, in the third ratio,
2 : 1 = __ : 3
x = 6
Now, in the forth ratio,
2 : 1 = __ : 24
x = 48
So, the equivalent ratio is 8 : 4.
And the missing values are as follows 21, 6 and 48.
Hence, the equivalent ratio is 8 : 4.
And the missing values are as follows 21, 6 and 48.
Complete table be,
Plum 14 42 6 48
Grape 7 21 3 24
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Point slope formula is y= mx+b. To find the slope, or m, you need to find the "rise over run". rise = y coordinates, run = x coordinates. And the slope equation is y1-y2/x1-x2. So let's say the first point is (x1,y1) and the second is (x2,y2). that would be 35-(-31)/5-(-6)= 66/11 or 6/1 aka up six, across one. That is your slope. So far you have y=6x+b, next plug (5,35) into that equation and solve for b (aka the y intercept). So: 35=6(5)+b. 35-30=b, b=5. So your final equation is y=6x+5.
Answer:
$12,415.48
Step-by-step explanation:
A = P (1 + r/n)^(nt)
where A is the final amount,
P is the initial amount,
r is the annual interest rate as a decimal,
n is the number of compoundings per year,
and t is the number of years.
A = 8000 (1 + 0.152/2)^(2×3)
A = 8000 (1.076)^6
A = 12415.48
Answer:
The value of the exterior angle is 
Step-by-step explanation:
we know that
The sum of the interior angle plus the exterior angle is equal to 
, because are supplementary angles.
Let
x-----> the measure of the exterior angle
so
solve for x
a. First five terms: 9,13,17,21,25
b. Sum of first 25 terms = 1425
c. The given sequence is an arithmetic sequence because the common difference between two consecutive terms is same.
Further explanation:
Given
Formula of sequence
<u>1. First 5 terms:</u>
For first 5 terms, we have to put n=1,2,...5,
So,
<u>2. Sum of first 25 terms:</u>
For that we have to find 25th term first
The formula for sum is:
<u>3. Type of sequence</u>
The given sequence is an arithmetic sequence because the common difference between two consecutive terms is same.
i.e.
Keywords: Arithmetic sequence, Sum of arithmetic sequence
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