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3 years ago

When is the product of two nonzero integers less than or equal to both of the two factors

1 answer:

5 0

The product of two nonzero integers is less than or equal to the both of the factors when one of them is positive and the other is negative.

For example:-

$x = 9 \\ 
y = -5 \\ \\ 
Then, \\
xy = 9*(-5) = -45 \\ \\ 
Here, \\ 
xy \leq x \\ 
xy \leq y
$

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Which of the following logarithms do not exist?

Rasek [7]

Answer:

B. logarithms of negative number don't exist

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3 years ago

A building has 63 apartments and 70 bathrooms. What is the ratio of apartments to bathrooms in the building?

valina [46]

Answer:

63:70

Step-by-step explanation:

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3 years ago

The Jones family has saved a maximum of $750 for their family vacation to the beach. While planning the trip, they determine th

Lemur [1.5K]

Answer:

Value of h greater than 5.4 will make inequality false.

Step-by-step explanation:

This question is incomplete; here is the complete question.

The Jones family has saved a maximum of $750 for their family vacation to the beach. While planning the trip, they determine that the hotel will average $125 a night and tickets for scuba diving are $75. The inequality can be used to determine the number of nights the Jones family could spend at the hotel 750 ≥ 75 + 125h. What value of h does NOT make the inequality true?

From the given question,

Per night expense (expected) = $125

If Jones family stays in the hotel for 'h' days then total expenditure on stay = $125h

Charges for scuba diving = $75

Total charges for stay and scuba diving = $(125h + 75)

Since Jones family has saved $750 for the vacation trip so inequality representing the expenses will be,

125h + 75 ≤ 750

125h ≤ 675

h ≤ $\frac{675}{125}$

h ≤ 5.4

That means number of days for stay should be less than equal to 5.4

and any value of h greater than 5.4 will make the inequality false.

3 0

3 years ago

A train leaves San Diego at 1:00 pm. A second train leaves the same city in the same direction at 3:00 pm. The second train trav

Soloha48 [4]

Answer:

The speed of the first train is 45 mph and the speed of the second train is 75 mph

Step-by-step explanation:

Let x represent the speed of the first train in mph. Since the second train, is 30 mph faster then the first, therefore the speed of the second train is (x + 30).

The first train leaves at 1:00 pm, therefore at 6:00 pm, the time taken is 5 hours. Therefore the distance covered by the first train at 6:00 pm = x mph * 5 hours = 5x miles

The second train leaves at 3:00 pm, therefore at 6:00 pm, the time taken is 3 hours. Therefore the distance covered by the second train at 6:00 pm = (x + 30) mph * 3 hours = (3x + 90) miles

Since the second train overtakes the first at 6:00 pm, hence:

3x + 90 = 5x

2x = 90

x = 45

Therefore the speed of the first train is 45 mph and the speed of the second train is 75 mph (45 mph + 30 mph).

7 0

3 years ago

Is it (sss) (side side side ) Hypotenuse-Leg (HL), ssa?(sas) aaa,asa,aas?

Reil [10]

Here, both the triangles have equal sides.
So, the two triangles are related by SSS.
If all the sides of a triangle are equal to all the sides of another triangle, so the triangles are congruent to each other.

Answer:

SSS, congruent.

Hope you could get an idea from here.

Doubt clarification - use comment section.

4 0

2 years ago