Answer:
Shortest side = 39 cm.
Median side = 65 cm.
Longest side = 91 cm.
Step-by-step explanation:
The perimeter in total is 195 cm. The ratio of the sides are 3 : 5 : 7.
First, find how much parts there are as a whole, by combining the ratios:
3 + 5 + 7 = 15 parts.
Divide the total of parts from the total measurement:
195/15 = 13
Each part has the measurement of 13 cm.
1 part = 13 cm.
Use the following ratio to solve for each of the sides:
Shortest side: 3
3 x 13 = 39
Shortest side = 39 cm.
Median side: 5
5 x 13 = 65
Median side = 65 cm.
Longest side: 7
7 x 13 = 91
Longest side = 91 cm.
Check. Combine all side measurements together. They should equal 195:
39 + 65 + 91 = 195
(39 + 65) + 91 = 195
(104) + 91 = 195
195 = 195 (True).
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Answer:
Inequalities are,
y ≥ 4x + 2
y ≥ 2
Step-by-step explanation:
Solid yellow line of the graph attached passes through two points (0, -2) and (1, 2).
Let the equation of this line is,
y = mx + b
Slope of the line = 
m = 
m = 4
Y-intercept 'b' = -2
Equation of the line will be,
y = 4x - 2
Since shaded area is on the left side of this solid line so the inequality representing this region will be,
y ≥ 4x - 2
Another line is a solid blue line parallel to the x-axis.
Shaded region (blue) above the line will be represented by,
y ≥ 2
Therefore, the common shaded area of these inequalities will be the solution of the given inequalities.
For example if we have 7/10 we have one 0 in the denominator so we move the decimal spot 1 to the left
So:
7.0 becomes 0.70 or .7
To make a decimal into a fraction:
0.32
Just add two zeros to the right and that means 2 0's will be added in the denominator
so:
0.32
32.0/100 or 32/100
Hope that helps :)
Answer:
X = 51
Y = 12
Step-by-step explanation:
2 numbers: (Larger) Number 1 is x and Number 2 is y
The equation is x + y = 63
New equation is:
Combine like variables:
Solve:
- 4y + 15 - 15 = 63 - 15
- 4y = 48
Divide 4 from each side:
To find x fill in the variables from the 'x =' equation:
- x = 3y + 15
- x = 3( 12) + 15
- <em><u>x = 51</u></em>
Answer:
1.25
Step-by-step explanation:
type in your calculator:
-1.5+2.75 OR 2.75-1.5
you should get the same answer