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notka56 [123]
3 years ago
7

Is 70 the correct value for x?

Mathematics
1 answer:
Reptile [31]3 years ago
8 0

Answer:

68 is what I'm getting for x

70 is the correct length of DH

Step-by-step explanation:

You can set up the proportion for this question.

99.2 / 62 = 112/(x + 2)   Cross multiply

99.2 ( x + 2) = 62 * 112   Combine the right side

99.2(x + 2) = 6944         Use the distributive principle to remove the brackets.

99.2*x + 2*99.2 = 6944 Combine the factors on the left

99.2x + 198.4 = 6944     Subtract 198.4 from both sides

99.2x = 6944  - 198.4     Combine the terms on the right

99.2x = 6745.6               Divide both sides by 99.2

x = 6745.6/99.2

x = 68

DH = 70


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The number n of people using the elevator in an office building every hour is given by n = t2 − 10t + 40. In this equation, t is
Morgarella [4.7K]

Answer:

The number of persons using the elevator at any hour is never going to be less that 15.

Step-by-step explanation:

To solves this you have to suppose that there are at least 15 persons on the elevator, and the equation is converted into an inequation:  

t^2-10t+40

Now you transform the inequation back to an equation to solve it:

t^2-10t+25=0

You need to know if there is any negative solution for the equation, to do this you can use the discriminant for a quadratic equation:

D=b^2-4ac

In this case, you have a=1, b=-10, c=25

D= (-10)^2-4(1)(25)\\D=0

Since the discriminant is 0 and a<0 the equation always is going to be positive. Therefore, the number of persons using the elevator at any hour is never going to be less than 15.

6 0
4 years ago
Bill and Joe both want to finance a new car. for the following scenario identify which one would be more likely to qualify for a
Vladimir [108]

Answer:

Joe is likely to get a low interest rate because paying your bills on time helps build a good credit.

Step-by-step explanation:


3 0
3 years ago
Lexi had 3/4 of an apple pie. She gave 1/4 of what she had to her friend Julie. What fraction of the whole pie did Julie get?
Murljashka [212]

Answer:

<u>3/16 of the whole pie</u>

Step-by-step explanation:

Lexi had 3/4 of an apple pie. She gave 1/4 of it to Julie. That means what Julie receives is the product of the whole and the portion.

==========================================================

Solving :

Therefore, the equation is :

⇒ 3/4 × 1/4

⇒ <u>3/16 of the whole pie</u>

4 0
2 years ago
Can 12 cm 12 cm and 28 cm form a triangle
erastova [34]
Using the Theorem of Pythagoras (a² + b² = c²)

Put in the values:

12² + 12² = 28²
Is it correct? (solve)

Nope! Because 12² + 12² = 288, and the square root of 288 is about 17, not 28.

The answer is no, 12cm, 12cm, 28cm cannot form a triangle.

Hopefully this helps! If you have any more questions or don't understand, feel free to DM me, and I'll get back to you ASAP! :)
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4 years ago
Which property is illustrated by this problem 10 . (11 . 12) ) = (10 . 11 ) . 12
Setler79 [48]
Associative property of multiplication
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4 years ago
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