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umka2103 [35]
4 years ago
11

1. Fill in the blanks for the rules for working with exponents:

Mathematics
2 answers:
melamori03 [73]4 years ago
8 0
1. add
2.substract
3.multiply
4. 1
5. we can put them in fraction like x^-1=1/x
natima [27]4 years ago
5 0
1.a)add
B) substract
C) multiply
D) one

2) 1002=1.002×10^3

3)2.8×10^-3 < 2.5×10^-2 < 1.2×103 <4×103
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Jim needs to rent a car. A rental company charges $21.00 per day to rent a car and $0.10 for every mile driven.
Ulleksa [173]

Answer:

21d+25\leq 115

Max is 4 days.

Step-by-step explanation:

An inequality is a math statement with more the one solution. The solution has a range of values for which the inequality can be satisfied. It has the same following components as an equation: variables and operations. However, the equal sign is replaced by an inequality sign: ,\leq,\geq.

We start by choosing a variable for an unknown value. Here is it the number of days he rents the car. We choose d.

We know he rents it for $21 pr day or 21d for any number of days. We also know her will drive 250 miles at $0.10 per mile or 0.10(250). We will combine the two into an expression.

21d + 0.10(250)

We know his limit is $115. This means he can rent the car for any number of days until he reaches $115. The charge must be less than or equal to 115.

So we write 21d+0.10(250)\leq 115.

To find the number of days he can rent the car, we solve for d using inverse operations.

21d+0.10(250)\leq 115\\21d+25\leq 115\\21d+25-25\leq 115-25\\21d\leq 90\\\frac{21d}{21} \leq \frac{90}{21}\\d\leq 4.3

This means Jim can rent the car up to 4 days. The 5th day will put the cost over $115.

3 0
4 years ago
Find the value of r so the line that passes through the pair of points has the given slope. (3, 5), (−3, r), m=34
frez [133]

The value (y2) of r = 1/2.

This question relates to equation of a straight line but we are looking for the slope in this case.

<h3>Slope</h3>

This is the ratio to which we measure the change along the y-axis to the change along the x-axis. The formula is given as

m = \frac{y_2 - y_1}{x_2 - x_1}

Data given;

  • x1  = 3
  • x2 = -3
  • y1 = 5
  • y2 = r
  • m = 34 or 3/4

Substitute the values into the equation and solve for the unknown

NB; we are assuming that the slope here is 34 and not 3/4.

m = \frac{y_2 - y_1}{x_2 - x_1} \\34 = \frac{r - 5}{-3 - 3}\\34 = \frac{r - 5}{-6}\\

cross multiply both sides and make r the subject of formula

34 * -6 = r - 5\\-204 = r - 5\\r = -204+5\\r = -199

the value of r = -199.

This is not mathematically obtainable and we would use 3/4 as the value of slope

\frac{3}{4}= \frac{r - 5}{-3 - 3}\\\frac{3}{4}=\frac{r - 5}{-6}\\4(r-5) = 3 * -6\\4r- 20 = -18\\4r = -18 +20\\4r = 2\\r = \frac{1}{2}

The most logical value of r = 1/2

Learn more on slope here;

brainly.com/question/4074386

7 0
3 years ago
What is the sum f 1.57 and 6.88
pentagon [3]
What is the sum of 1.57 and 6.88?

Ok, so lets work this out together!

Sum means add.

   6.88
+ 1.57

That would be: 

= 8.45

Hope i helped!
5 0
3 years ago
Read 2 more answers
Serena makes $9 per hour cutting lawns. Each day, she earns about $15 in tips. If Serena made no less than $110 on Monday, which
Serhud [2]
The total amount Serena earns is the sum of her regular wage and the tips. The amount she earns from the wage is equal to 9h. This total should be more than or equal to $110. This is mathematically expressed as,
                                      9h + 15 ≥ 110
3 0
3 years ago
Read 2 more answers
A polygon is shown:
Klio2033 [76]

Answer:

My brain just exploded. I tried imagining what the shape would look like, and that didn't work. Also, I tried drawing the shape and that didn't work. I have no idea what the shape looks like. If you still need help with this question, maybe you can repost it with an image attached so we can know what the shape looks like.

7 0
3 years ago
Read 2 more answers
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