Answer:
≈101
Step-by-step explanation:
Let x and y represent the number of robberies in last year and this year respectively.
Given;
x = 147
This year the number of robberies has gone down 31%.
So;
y = x - 31% of x
y = x - 0.31x
y = 0.69x
Substituting the value;
y = 0.69 × 147
y = 101.43
y ≈ 101. (to the nearest whole number)
The number of robberies this year = 101
1% = 36000÷20= 1800
100% = 100× 1800= 180000
the dollar amount of the retail price of his recordings is $ 180000.
Answer:
Distance=3.1 miles
Step-by-step explanation:
Step 1: Determine how many meters make a mile
The conversion rate expression is;
1 mile=1.60934 kilometers
Step 2: Convert 5 km to miles
Using the expression below;
Distance in miles=distance in kilometers/1.60934
where;
distance in kilometers=5 km
replacing;
Distance in miles=5/1.60934
Distance in miles=3.10686 miles
Step 3: Round off to nearest tenth of a mile
Nearest tenth of a mile=1/10=0.1 , the same as rounding of to the nearest 1 decimal place
Distance 3.10686 miles rounded off to 1 decimal place=3.1 miles
Distance=3.1 miles
Answer:
see explanation
Step-by-step explanation:
2 chords intersecting inside a circle , then the product of the parts of one chord is equal to the product of the parts of the other chord.
6
BE × ED = AE × CE , that is
10 × 3x = 12(2x + 1) ← distribute parenthesis by 12
30x = 24x + 12 ( subtract 24x from both sides )
6x = 12 ( divide both sides by 6 )
x = 2
then
ED = 3X = 3(2) = 6
7
RJ × JP = SJ × JQ , that is
6 × 3x = 4(4x + 1) ← distribute parenthesis by 4
18x = 16x + 4 ( subtract 16x from both sides )
2x = 4 ( divide both sides by 2 )
x = 2
then
RP = RJ + JP = 6 + 3x = 6 + 3(2) = 6 + 6 = 12
Answer:
4x - 3y -18 = 0 or y = 4x/3 - 6
Step-by-step explanation:
We will have to find the slope of the line first
The formula for slope:

The standard form of equation of a line is:
y = mx + b
We know m,
So the equation will be:

We have to find the value of b, for that we will put any one of the point in the equation
So, putting (6,2)
2 = 4/3 * 6 + b
2 = 8 +b
b = -6
Putting the value of m and b in the standard form of equation of line,
..