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Lostsunrise [7]
3 years ago
11

The hanger image below represents a balanced equation.

Mathematics
1 answer:
lbvjy [14]3 years ago
6 0

Answer:

5

Step-by-step explanation:

Hope this helps

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Five times the sum of the digits of a two-digit number is 13 less than the original number. If you reverse the digits in the two
mafiozo [28]

Answer:

The difference of the original two-digit number and the number with reversed digits is 18.

Step-by-step explanation:

Since it's a two digit number, let x represent the tens digit and let y represent the units digit.

Thus, the original two digit number is;

10x + y.

The reverse two digit number is;

10y + x.

We are told that five times the sum of the digits of the two-digit number is 13 less than the original number.

Thus;

5(x + y) = (10x + y) - 13

Multiplying out the bracket gives;

5x + 5y = 10x + y - 13

Rearranging gives;

10x - 5x + y - 5y = 13

5x - 4y = 13 - - - - (3)

Also,we are told that, four times the sum of its two digits is 21 less than the reversed two-digit number. Thus;

4(x + y) = (10y + x) - 21 - - - (4)

Simplifying gives;

4x + 4y = 10y + x - 21

>> 10y - 4y - 4x + x = 21

>> 6y - 3x = 21 - - - (4)

Solving eq(3) and (4) simultaneously gives;

x = 5 and y = 3

Thus,

Original number = 53

Reversed number = 35

Difference between original and reversed number = 53 - 35 = 18

6 0
3 years ago
A candle factory made 534,449 candles one month. To the nearest ten thousand, about how many candles did the factory make?
olganol [36]
530,000 candles were produced by the factory (rounded of course!) in that month.

Hope this helps!
4 0
2 years ago
Read 2 more answers
Don’t answer if you don’t know, plz. Thanks.
horrorfan [7]
B. I did this test too.
7 0
2 years ago
The height of the tunnel at the center is 35ft, and the vertical clearance must be 21 ft at a point of 8ft from the center. Find
Zinaida [17]

Answer:

y=-0.215x^2+35

Step by Step:

Let, h=0,  k=35, x=8, y=21

We know that, the general equation of the parabola.

   y-k = a(x-h)^2

\Rightarrow y=a(x-h)^2+k  .........(i)

Substitute the  value of h, k, x, y in equation (i) and find the value of a.

  21=a(8-0)^2+35

\Rightarrow 21=a\times 8^2+35

\Rightarrow 21=64a+35

\Rightarrow 64a=21-35

\Rightarrow 64a=-14

\Rightarrow a=\frac{-14}{65}

\Rightarrow a=-0.215

Hence, the equation of the parabola is:

y=-0.215x^2+35

8 0
2 years ago
A ball is thrown into the air with an upward velocity of 36 ft/s. Its height h in feet after t seconds is given by the function
Roman55 [17]

We can do this by converting the equation to vertex form:-

h = -16t^2 + 36t + 10

= -16(t^2 - 2.25t) + 10

= -16 [ (t  - 1.125)^2 - (1.125)^2] + 10

= -16(t - 1.125)^2 + 20.25 + 10

= -16(t - 1.125)^2 + 30.25  

So the answer is 1.13s and 30.25 ft.

=  (


3 0
3 years ago
Read 2 more answers
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