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timama [110]
3 years ago
6

Find all two-digit numbers with the following property: difference of that number and the number with its reversed digits is 36.

Mathematics
1 answer:
kirza4 [7]3 years ago
6 0
10x+y-(10y+x)=36\\
10x+y-10y-x=36\\
9x-9y=36\\
x-y=4\\\\
x,y\in\{1,2,3,4,5,6,7,8,9\}\\
\Downarrow\\
x=5,y=1\\
x=6,y=2\\
x=7,y=3\\
x=8,y=4\\
x=9,y=5




There are 5 such numbers - 51,62,73,84,95
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At noon, Bradley began steadily increasing the
barxatty [35]

Answer:

25.5 mph

Step-by-step explanation:

So Bradley's speed can be modeled by the equation y=2x+40 where y=speed, x=time in hours after noon, and b=initial speed

So 12:15 is 15 minutes after noon, which is also 0.25 or 1/4 of an hour after noon. This is the x-value. Plug this into the equation to get his speed at 12:15

y=2(0.25)+40

y=0.5+40

y=40.5

So his speed was 40.5 at the time and since he was going 15 miles over the speed limit, the speed limit is 15 less than his speed

40.5 - 15 = 25.5

8 0
2 years ago
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Need help with this question
Alenkasestr [34]

Answer: Well you would have to look at the options in the drop down and then find the terms and others

Step-by-step explanation:

8 0
3 years ago
the length of a rectangular yard is 4 feet more than the width. the perimeter of the yard is 208 feet. write the equation that r
ad-work [718]

Answer:

Length = 54 ft.

Width = 50 ft.

Step-by-step explanation:

Let the width of the rectangle be 'w'.

According to question ,

Length = w + 4

Perimeter = 208 ft.

We know that perimeter = 2(l + w) where l = length & w = width

So,

2(w + 4 + w) = 208

=  > 2(2w + 4) = 208

=  > 2w + 4 =  \frac{208}{2} = 104

=  > 2w = 104 - 4 = 100

=  > w =  \frac{100}{2}  = 50

Width = 50 ft.

=> Length = 50 + 4 = 54 ft.

5 0
3 years ago
candy bars are sold at a local store for 60 cents each. The factory has $1000 in fixed costs plus 10 cents of additional expense
Westkost [7]

Answer:

2000 bars, or $1200

Explanation:

Let x represent the number of candy bars that are sold.  Since they are sold for $0.60 each, this gives us the expression

0.60x

to represent the profit.

The factor has $0.10 per candy bar additional expense; this gives us the expression

0.10x.

However the factory also has $1000 fixed costs; this gives us

0.10x + 1000

to represent the costs.

The break-even point is the point where these two expressions are equal; this gives us the equation

0.60x = 0.10x + 1000

Subtract 0.10x from each side:

0.60x - 0.10x = 0.10x + 1000 - 0.10x

0.50x = 1000

Divide both sides by 0.50:

0.50x/0.50 = 1000/0.50

x = 2000

The break-even point is 2000 candy bars, which would sell for

0.60(2000) = $1200

3 0
3 years ago
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