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White raven [17]
2 years ago
9

Question 21 of 25

Mathematics
1 answer:
Korvikt [17]2 years ago
3 0

Answer:

12

Step-by-step explanation:

Coefficient is the number before the variable

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The square of a number is 12 less than 7 times the number. What is the number?
hjlf

<u><em>Answer:</em></u>

The number is either 3 or 4


<u><em>Explanation:</em></u>

Assume that the number we are looking for is x

The square of the number would be x²

7 times the number would be 7x


<u>We are given that:</u>

square of the number (x²) is 12 less than 7 times the number (7x)


<u>Translating this into an equation, we would have:</u>

x² = 7x - 12


<u>Rearranging the quadratic equation:</u>

x² - 7x + 12 = 0


<u>Now, we factor the equation:</u>

(x-4)(x-3) = 0


<u>This means that:</u>

either x-4 = 0 ..................> x = 4

or x-3 = 0 ........................> x = 3


<u>Let's check if any of the solutions is an extrovert:</u>

For x = 3 .............> (3)² = 7(3) - 12 .........> 9 = 21 - 12 .......> 9 = 9 .......> not extrovert

For x = 4 .............> (4)² = 7(4) - 12 .........> 16 = 28 - 12 .....> 16 = 16 ....> not extrovert


Since we have no restrictions on the number, therefore, both solutions would be accepted


Hope this helps :)


7 0
3 years ago
Which of the following statements is true?
madreJ [45]

Answer: choice 2) SAS

AB = DE is one pair of congruent sides that forms the first S in SAS. The other S in SAS refers to the pair of congruent sides BC = EF. The A in SAS is the angle pair angle B = angle E. Note how angle B and angle E are between the two pairs of congruent sides. The order of the letters matters because SAS is different from SSA, which is not a valid congruence argument. Check out the attached image.

8 0
3 years ago
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The ratio of girls to boys is 2:3. There are 12 boys. How many<br> girls are there?
Marianna [84]

Answer:

18 girls

Step-by-step explanation:

2g = 3b

b = 12

g = girls

b = boys

2g = 3*12

2g = 36

g = 36/2

g = 18

5 0
2 years ago
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Julain has 200ml of 35% hand sanatizer. Sarah has 150ml of 85% hand sanatizer. They mix the sanatizers together in an effort to
Cerrena [4.2K]

Answer:210ml, 140 ml, 60%

Step-by-step explanation:

Given

Juli has 200 ml of 35% hand sanitizer

Sarah has 150 ml of 85% hand sanitizer

The mixture has 60% con. i.e. 60 % is Alcohol and 40 % water

The final volume of the mixture =200+150=350 ml

Now, 60% of 350 ml= 350\times 0.6=210\ ml

So, pure Alcohol is 210 ml

Water in the final mixture= 350\times 0.4=140\ ml

The concentration of Alcohol is 60%

7 0
3 years ago
-38 is greater than x
nirvana33 [79]

Answer:

-38>x

Step-by-step explanation:

8 0
3 years ago
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