Cameron has $720 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax.
He buys a new bicycle for $200.75.
He buys 4 bicycle reflectors for $12.29 each and a pair of bike gloves for $20.49.
He plans to spend some or all of the money he has left to buy new biking outfits for $70.25 each.

Write and solve an inequality which can be used to determine xx, the number of outfits Cameron can purchase while staying within his budget.

Answer:

90.99x25/100

Step-by-step explanation:

or 90.99x25%

[tex]\\ \sf\longmapsto I=\dfrac{PRT}{100}[/tex]

[tex]\\ \sf\longmapsto I=\dfrac{500(3)(10)}{100}[/tex]

[tex]\\ \sf\longmapsto I=5(30)[/tex]

[tex]\\ \sf\longmapsto I=Rs.150[/tex]

Answer:  (7) 7.0              (8) 17.3            (9) 64.7°

Step-by-step explanation:

Law of Cosines is: a² = b² + c² - 2bc · cos A

                         or: b² = a² + c² - 2ac · cos B

                         or: c² = a² + b² - 2ab · cos C

7) b = 4, c = 10, ∠A = 34

a² = b² + c² - 2bc · cos A

   = 4² + 10² - 2(4)(10) · cos 34°

   = 16 + 100 - 80 (0.829)

   = 116 - 66.323

   = 49.677

a = [tex]\sqrt{49.677}[/tex]

a = 7.0

8) a = 11, b = 8, ∠C = 131

c² = a² + b² - 2ab · cos C

   = 11² + 8² - 2(11)(8) · cos 131°

   = 121 + 64 - 176 (-0.656)

   = 185 + 115

   = 300

c = [tex]\sqrt{300}[/tex]

c = 17.3

9) a = 10.5, b = 5.9, c = 9.6

9.6² = 10.5² + 5.9² - 2(10.5)(5.9) · cos C

92.16 = 110.25 + 34.81 - 2(10.5)(5.9) · cos C

92.16 = 145.06 - 123.9 cos C

-52.9 = -123.9 cos C

0.427 = cos C

cos⁻¹ (0.427) = C

64.7° = C

Answer:

Answer:

A.

B.

C.

Step-by-step explanation:

We have been given inverse trigonometric functions. We are asked to find the value of each function.

A.

We will use inverse sin to solve our given equation as:

Round to nearest degree:

B.

We will use inverse tann to solve our given equation as:

Round to nearest degree:

C.

We will use inverse cosine to solve our given equation as:

Round to nearest degree:

Step-by-step explanation:

Answer:

It takes 135 of the 1/3 unit cubes to fill the prism. How many cubes with 1/3 unit side lengths can fit in a cube with 1-unit side lengths? There are 27 cubes with 1/3 unit side lengths in 1 cubic unit

Answer:

Below.

Step-by-step explanation:

1x3 side lengths consists of 3 cubes. 1 by 2 side length consists of 2 cubes. 3 >2

Answer:

just make denominator same by multiplying on numerator and denominator simple and do add or subtract

Answer:

8.5

Step-by-step explanation:

To find the volume, multiply the base ( 2 1/8) by the height (4), to get the final answer, 8.5.

Hopefully this helps- let me know if you have any questions!

Answer:

[tex]2 + 2 = 0[/tex]

Step-by-step explanation:

It's easy you are

kid‍♂️‍♂️‍♂️

Answer:

The distence bettween the two cities is 630miles

Step-by-step explanation:

So you take 42 and multiply it by 15 and you get 630.

Answer:

24

Step-by-step explanation:

just multiply 5 times 18 and gives u 90 and then add all the other numbers and het 66 90 m-66=24 all that added equals 90 90 divided by 5 is 18

Check the picture below.

Answer:

46.9

Step-by-step explanation:

328/7 = 46.9

To double check: 46.9 x 7 = 328

Have an amazing day!!

PLEASE RATE!!

Answer:

graph c.

Step-by-step explanation:

it has 5 degrees and it does a 80 angle.

Hey there! Hola!

Let's find the square root of 64:

[tex]\sqrt{64}[/tex]

Basically, what number times itself equals 64? that's the answer.

That number is 8.

Hence, the square root of 64 is 8.

La raiz cuadrada de 64 es 8.

Hope everything is clear.

Let me know if you have any questions!

#KeepLearning

[tex]\tt{Amiable}[/tex]

Answer:

The only prime number is 19

Answer:

1/18

Step-by-step explanation:

We are considering that we have 2 dices with 6 faces each (so, the probability to getting any face in any dish is 1/6). To get an 11, we only have two ways to obtain it:

Dice 1= 6 and Dice 2 =5 or Dice 1= 5 and Dice 2 =6

So, the probability of the event is given as:

P(Dice1=5 ∧ Dice2=6) ∪ P(Dice1=6 ∧ Dice2=5) = P(Dice1=5) x P(Dice2=6) + P(Dice1=6) x P(Dice2=5) = 1/6 x 1/6 + 1/6 x 1/6 = 1/36 + 1/36 = 2/36 = 1/18.

As 1/18 = 0,055, and 0,055 > 0,05, we consider the event as not significative (according to the definition of significance in the sentence).

Answer:

,,,,,,,,,,,,,,mmmmmmmm

Step-by-step explanation:

Answer:

what is the question

Step-by-step explanation:

Answer:

Step-by-step explanation:

a) The relative minimum of the function from the graph is -18 at x=0.

b) The graph ends with two arrows which means it continues from there indefinitely. So the function increases from x equal to negative infinity to -2 and then from 0 to +2.

Mean = sum of all numbers / 20 = 1669 / 20 = 83.45

Standard deviation = 7.86

Z-score = -1

So...

Z = (x - mean) / standard deviation

x = Z * standard deviation + mean = -1 * 7.86 + 83.45 = 75.59

Rounded: 75.6

Answer:

7.79

Step-by-step explanation:

A hundredth is the second number after the decimal. For example, in the number 100.234, the "3" would be the hundredth, the "2" would be the tenth, and the "4" would be the thousandth.

To round to the nearest hundredth, you have to look at the thousandth because when rounding, you look at the next number to decide whether to round up or down.

Since 8 is in the thousandth place in this question, and 8 is bigger than 5, you round up. So, you round the "8" in the hundredths place up to 9.

Therefore, you get 7.79.

Answer:

A melt down

Step-by-step explanation:

I do not know if this is correct, but I searched it up and its what I got

Answer:

125ft cubed

Step-by-step explanation:

Volume of a cube = LWH

v= 5^3

v= 125 ft cubed

Answer:

5/21

Step-by-step explanation:

Answer:

by drawing a number line then simpifly 3/2 than mark it down

Step-by-step explanation:

Answer:

-9 / 14

Step-by-step explanation:

Product means multiply
3/4 x -6/7 = -9 / 14

Answer:

-18/28 which simplifies to -9/14

Step-by-step explanation:

Answer:

y = -8x + 54

Step-by-step explanation:

Since the lines are parallel, their slopes are the same, leaving you with y = -8x.

That equation at x = 7 would make y -56, but we want it to be -2. Therefore we add a 54 in the end, leaving you with y = -8x + 54.

I hope this helped.

Answer:

Step-by-step explanation:

Evaluate the answers, and then you can maybe replace 2 with a variable until you find the cost of 5lbs

Answer:

[tex]-2\frac{7}{20}[/tex]

Step-by-step explanation:

Given the following question:

[tex]3\frac{2}{5} -5\frac{3}{4}[/tex]

To find the answer we first need to convert the mixed numbers into improper fractions, find the common denominator, subtract the denominators, and of course convert the improper fraction back into a mixed number.

[tex]3\frac{2}{5} -5\frac{3}{4}[/tex]
[tex]3\frac{2}{5}=5\times3=15+2=17=\frac{17}{5}[/tex]
[tex]5\frac{3}{4} =4\times5=20+3=23=\frac{23}{4}[/tex]
[tex]\frac{17}{5} -\frac{23}{4}[/tex]

Find the common denominator:
[tex]CD=20[/tex]
[tex]\frac{17}{5} \times4=\frac{68}{20}[/tex]
[tex]\frac{23}{4} \times5=\frac{115}{20}[/tex]
[tex]\frac{68}{20} -\frac{115}{20}[/tex]
[tex]68-115=-47=-\frac{47}{20}[/tex]
[tex]=-\frac{47}{20}[/tex]

Convert the improper fraction into a mixed number:
[tex]-\frac{48}{20}[/tex]
[tex]-\frac{47}{20} =47\div20=-2\frac{7}{20}[/tex]
[tex]=-2\frac{7}{20}[/tex]

Your answer is "-2 7/20."

Hope this helps.

[tex]2\frac{7}{20}[/tex] is the mixed number we get by subtracting  [tex]3\frac{2}{5}[/tex] from [tex]5\frac{3}{4}[/tex].

To subtract [tex]3\frac{2}{5}[/tex] from [tex]5\frac{3}{4}[/tex], we first need to convert both mixed numbers to improper fractions.

[tex]5\frac{3}{4}[/tex] = (4 × 5 + 3) / 4 = 23/4

[tex]3\frac{2}{5}[/tex] = (5 × 3 + 2) / 5 = 17/5

Now we can subtract the two fractions:

23/4 - 17/5

To subtract fractions, we need to have a common denominator.

The common denominator for 4 and 5 is 20.

We'll convert both fractions to have a denominator of 20:

23/4 = (23 × 5) / (4 × 5) = 115/20

17/5 = (17 × 4) / (5 × 4) = 68/20

Now we can subtract the fractions:

115/20 - 68/20

= (115 - 68) / 20

= 47/20

=[tex]2\frac{7}{20}[/tex]

To learn more on Fractions click:

https://brainly.com/question/10354322

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