1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Vinvika [58]
3 years ago
13

Write an equation to represent the number puzzle. Use x as the

Mathematics
1 answer:
k0ka [10]3 years ago
7 0
<h3>The equation is:</h3><h3>x^2 - 7x + 12 = 0</h3><h3>The number is 3 or 4</h3><h3><em><u>Solution:</u></em></h3>

Given that,

7 added to the square of a number is equal to 7 times the number,  minus 5

Let "x" be the unknown number

From given,

7 added to square of x = 7 times the x minus, 5

7 + x^2 = 7x - 5

Solve the above equation

x^2 -7x +7+5 = 0\\\\x^2 - 7x + 12 = 0

Split the middle term

x^2 -3x - 4x + 12 = 0\\\\Group\ the\ expressions\\\\(x^2-3x) -(4x - 12)  = 0\\\\Take\ the\ common\ factor\ out\\\\x(x -3) -4(x -3) = 0\\\\(x-3)(x-4) = 0

We have two solutions

x - 3 = 0

x = 3

And

x - 4 = 0

x = 4

Thus number is 3 or 4

You might be interested in
92.4 is 150% of what number?
Ad libitum [116K]
1. We assume, that the number 92.4 is 100% - because it's the output value of the task. 
<span>2. We assume, that x is the value we are looking for. </span>
<span>3. If 92.4 is 100%, so we can write it down as 92.4=100%. </span>
<span>4. We know, that x is 150% of the output value, so we can write it down as x=150%. </span>
5. Now we have two simple equations:
1) 92.4=100%
2) x=150%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
92.4/x=100%/150%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 150% of 92.4

92.4/x=100/150
<span>(92.4/x)*x=(100/150)*x       - </span>we multiply both sides of the equation by x
<span>92.4=0.666666666667*x       - </span>we divide both sides of the equation by (0.666666666667) to get x
<span>92.4/0.666666666667=x </span>
<span>138.6=x </span>
x=138.6

<span>now we have: </span>
<span>150% of 92.4=138.6</span>
3 0
3 years ago
Read 2 more answers
Start to finish must use all boxes, cant go diagonally
aleksandr82 [10.1K]

start at the top and go down one then go to the right and the vice verse

______________________________

l______________________________l

l______________________________l

end____________________________l

8 0
3 years ago
Peter went to his local zoo where 50% of its exhibits featured lions. If the zoo features 24 exhibits in total, then how many of
Sauron [17]
12 exhibits featured lions since half of 24 is 12.
3 0
3 years ago
Read 2 more answers
Cynthia has a photo frame that has a circumference of 56.52cm. What is the radius of the photo frame
Pavlova-9 [17]

Answer: 9cm

Step-by-step explanation:

The circumference of a circle is given as: = 2πr

where,

π = 3.142

r = radius = unknown

Since circumference = 56.52cm, we'll slot it into the formula which will be:

Circumference = 2πr

2πr = 56.52

2 × 3.142 × r = 56.52

6.284r = 56.52

r = 56.52 / 6.284

r = 8.99

r = 9cm approximately

6 0
3 years ago
What is the least common multiple of 37 and 12
emmasim [6.3K]
<span>To get the Least Common Multiple (LCM) of 37 and 12 we need to factor each value first and then we choose all the factors which appear in any column and multiply them: 

<span><span>37:      37</span><span>12:   223 </span><span>LCM:   22337</span></span>The Least Common Multiple (LCM) is:   2 x 2 x 3 x 37 = 444</span><span> </span>
4 0
3 years ago
Other questions:
  • On which of the following lines does point (-8,31) lie?
    11·2 answers
  • What is (2/5 +1/5) - 3/10 ?
    5·2 answers
  • using the digits 4,9,7,1 and 5,create a division sentence with two digit divisor and greatest possible quotient
    13·1 answer
  • Is the bisector of ∠ABC and is the bisector of ∠ACB.
    12·1 answer
  • A ball was bounced 3 times between 3:15p and 3:18p, thrown 10 times between 3:20p and 3:30p and bounced 7 times between 4:15p an
    8·1 answer
  • 2/5-1/4 simplified please help will make brainliest ​
    9·2 answers
  • Plz help me this is to much
    9·1 answer
  • Find the height of the tree
    10·1 answer
  • You can help me with any one of these equations I would really appreciate it but also please provide step-by-step explanation th
    10·1 answer
  • Round 21254 to the nearest thousand
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!