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nataly862011 [7]
3 years ago
11

In the inequality -2 < 2, which number appears farther right on a number line and why?​

Mathematics
1 answer:
Marianna [84]3 years ago
5 0

Answer:

2

Step-by-step explanation:

2 is farther right on the number line because it is a positive number while -2 is negative.

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Mr. Sanchez bought 2 magazines for $9.95 each and 1 book for $14.95. If the sales tax is 6%, what is the total cost of Mr. Sanch
Gennadij [26K]

add up the purchases

2(9.95) + 14.95

19.90 +14.95

34.85

now find the sales tax

34.85 * .06 =2.091 = 2.09  (round to 2 decimal places with money)

add the purchases and the sales tax to get the total amount

34.85 + 2.09

$36.94

7 0
3 years ago
The velocity of a skydiver t seconds after jumping is given by V(t)= 80(1-e^-.2t). After how many seconds is the velocity 120 ft
Ad libitum [116K]

Answer:

∞

Step-by-step explanation:

The equation describes a velocity curve that has an asymptote of 80 ft/s. The skydiver will <em>never</em> have a velocity of 120 ft/s.

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3 years ago
In a child's bank are 11 coins that have a value of S1.85. The coins are either
Karo-lina-s [1.5K]

Answer:

The child has 6 dimes and 5 quarters.

Step-by-step explanation:

Let q and d represent the number of quarters and of dimes respectively.

Then q + d = 11 (Equation A), and ($0.25/quarter)q + ($0.10/dime)d = $1.85 (Equation B).

Multiply the 2nd equation by 100 to remove the decimal fractions:

25q + 10d = 185 (Equation C)

Now multiply the 1st equation by -10 to obtain -10q - 10d = -110 (Equation D), and combine this result with Equation C:

-10q - 10d = -110

25q + 10d = 185

--------------------------

15q         = 75, and so q = 75/15 = 5.

According to Equation A, q + d = 11.  Replacing q with 5, we get:

5 + d = 11, and so d = 6.

The child has 6 dimes and 5 quarters.

4 0
3 years ago
Write an expression to represent the perimeter of:
malfutka [58]

So perimeter is adding all sides

In this picture, you have all sides, so add them up!

(2a-3)+(3a+1)+(2a) = P

So this expression shows that we're adding all sides that gives us the P, or perimeter :)

8 0
3 years ago
What is the product in lowest terms?
Alisiya [41]
-5/12 × 8/13

First, we need to start out by applying the multiplication rule towards fractions. If you haven't learned or don't remember the rules, you can always look up fraction rules. The rule is: a/b × c/d = ac/bd. Basically, we are combining the numerators and both of the denominators.
- \frac{5 \times 8}{12 \times 13}

Second, let's now multiply what we have in the fraction. (5 × 8 = 40) and (12 × 13 = 156). Doing so will create a new fraction for us to use.
-\frac{40}{156}

Third, now obviously, we can simplify the fraction we just got into lower terms. To do that, we have to collect the greatest common factor (GCF) of both the numerator and denominator and list their factors to find the common factor that is the greatest.

Factors of 40: 1, 2, 4, 5, 8, 10, 20, 40
Factors of 156: 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

Out of the listed factors, which of those are the common ones? 1, 2, and 4 are the common factors. Since we are looking for the greatest common factor, it would be 4 since that is the higher number out of the commons. The GCF is 4.

Fourth, we can now divide our numerator (40) and our denominator (156) by the GCF we just found out, which was 4. 
40 \div 4 = 10  \\ 156 \div 4 = 39

Fifth, our last step is to create our new simplified fraction. All we have to do is take our new numerator and denominator to see the fraction. 

Answer in fraction form: \fbox {-10/39}
Answer in decimal form: \fbox {-0.2564}
4 0
3 years ago
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