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Tcecarenko [31]
3 years ago
7

In a two-digit number, the product of the digits is 18 and the sum is 9. Find the number.​

Mathematics
1 answer:
ycow [4]3 years ago
3 0
Let the digits be x and y

Given that- xy= 18 and x+y=9

SO y= 18/x

And x+(18/x)=9

x^2 -9x+18=0

(x-6)(x-3)=0

So x=6,3
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the tens digit of a two digit number is 5 greater the units digit. If you subtract double the reversed number from it, the resul
likoan [24]

Given:

The tens digit of a two digit number is 5 greater the units digit.

If you subtract double the reversed number from it, the result is a fourth of the original number.

To find:

The original number.

Solution:

Let n be the two digit number and x be the unit digit. Then tens digit is (x+5) and the original number is:

n=(x+5)\times 10+x\times 1

n=10x+50+x

n=11x+50

Reversed number is:

x\times 10+(x+5)\times 1=10x+x+5

x\times 10+(x+5)\times 1=11x+5

If you subtract double the reversed number from it, the result is a fourth of the original number.

11x+50-2(11x+5)=\dfrac{1}{4}(11x+50)

11x+50-22x-10=\dfrac{1}{4}(11x+50)

40-11x=\dfrac{1}{4}(11x+50)

Multiply both sides by 4.

160-44x=11x+50

160-50=11x+44x

110=55x

Divide both sides by 55.

\dfrac{110}{55}=x

2=x

The unit digit is 2. So, the tens digit is 2+5=7.

Therefore, the original number is 72.

6 0
3 years ago
You and two friends visit a pizza shop. There are 14 toppings. 7 toppings are meat and the rest are vegetable. Each of you order
tatuchka [14]
The answer is that you can get all the meats an some of the vegetables so the answer is B
7 0
4 years ago
Selena drove at an average speed of 50.55 miles per hour for 1.75 hours. She stopped at a rest stop and then drove at an average
frez [133]
50.55 x 1.75 = 88
45.2 x 2.25 = 94

Selena drove more miles after (how many) 6

I hope this helped :)
3 0
4 years ago
Read 2 more answers
What is (-7/8)(-3/4) simplified
Snowcat [4.5K]

Answer:

<h2>21/32</h2>

Step-by-step explanation:

-7/8 × -3/4 = 21/32

-7 × -3   = 21  

-8 × -4   = 32

21/32

<u><em>IMPORTANT: This number is not negative, because a negative times a negative is a positive.</em></u>

By the way, if you didn't know how to arrive at the fraction here's how.

First, Address input parameters & values.

Input parameters & values: The decimal number = 0.65625. Then, write it as a fraction

0.65625/1

Multiply by 100000 both the numerator & denominator

(0.65625 x 100000)/(1 x 100000) = 65625/100000

65.625% = 65.625/100 or 65625/100000

Find LCM (Least Common Multiple) for 65625 & 100000.

3125 is the LCM for 65625 & 100000

Divide by 3125

65625/100000 = (65625 / 3125) / (100000 / 3125)

= 21/32

I'm always happy to help :)

7 0
3 years ago
Read 2 more answers
Dominic has 12 children. he bought pizza for his kids. If each child ate 1/3 of pizza, how many pizzas did Dominic need to buy
Kazeer [188]

Answer:

  4

Step-by-step explanation:

If each of 12 kids ate 1/3 of a pizza, the amount eaten was ...

  12 × 1/3 pizza = 12/3 pizza = 4 pizza

Dominic needed to buy 4 pizzas.

7 0
2 years ago
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