In this question, use CAN $1.00 = JA $72.00.

1) On a vacation in Canada, Steve used his credit card to buy a camera for CAN $25.00.
What is the value of the camera in jamaican dollars?

2) Steve's credit card limit is JA $30,000.00. After buying the camera, how many Canadian does he have left on his credit card for spending?

The measure of angle O from the triangle MNO is 156.92°.

In trigonometry, the law of cosines relates the lengths of the sides of a triangle to the cosine of one of its angles.

The formula for the cosine rule is c=√(a²+b²-2ab cosC)

Given that, in triangle MNO, m = 720 cm, n = 160 cm and o=870 cm.

Now, 870=√(720²+160²-2×720×160 cosO)

870²=720²+160²-2×720×160 cosO

756900=544000-230400 cosO

212900=-230400 cosO

cosO= -212900/230400

cosO= -0.92

∠O=156.92°

Therefore, the measure of angle O from the triangle MNO is 156.92°.

Learn more about the cosine rule here:

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Answer:

158

Step-by-step explanation:

Answer:

The number is -10

Step-by-step explanation:

I will answer this while I read through the question.

Let the number be x

Divide by 2

[tex]\frac{x}{2}[/tex]

Add 9 to it

[tex]\frac{x}{2} + 9[/tex]

It gives 4

[tex]\frac{x}{2} + 9 = 4[/tex]

Now, we solve for x

Collect Like Terms

[tex]\frac{x}{2} = 4-9[/tex]

[tex]\frac{x}{2} = -5[/tex]

Make x the subject

[tex]x = -5 *2[/tex]

[tex]x = -10[/tex]

Answer:

b just tool the test

Step-by-step explanation:

Answer:

8a + 24b

Step-by-step explanation:

'distributive' is just like sharing across

Answer:

8a + 20b + 4b

Step-by-step explanation:

Distributing it would be 8a+24b so expanding it would equal: 8a+20b+4b

Answer:

x=30°

y=30°

Step-by-step explanation:

x= 180-150=30°

y)

180=30 + 90 + z

z +120 = 180

z= 60

90-60=y

y=30

30°

Answer:

(-∞, 3)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

5n - 13 < 4n - 10

Step 2: Solve for n

Here we see that any value n smaller than 3 would work as a solution to the inequality.

∴ our interval is (-∞, 3)

Answer:

T= 16000(2)

=36 000

T=36 000(2)

=72 000 in 4 hours

Answer:

6477

Step-by-step explanation:

wow, u got a big party there

Answer:

dangggg but 6477

Step-by-step explanation:

Step-by-step explanation:

The correct answer is

It is proportional to its weight.

Hope it will help :)❤

Step-by-step explanation:

mass is proportional to the weight of the object

w = mg

Answer:

30 miles

Step-by-step explanation:

3 hours = 180 minutes

3/5 of an hour = 36 minutes

180/36 = 5

5 times 6 = 30

I hope this helps :)

Answer:

Because the product is always a non-terminating, non-repeating decimal.

The product of a rational number and an irrational number will always be an irrational number. Then the correct option is A.

If the value of a numerical expression is terminating then they are the rational number then they are called the rational number and if the value of a numerical expression is non-terminating then they are called an irrational number.

The product of a rational number and an irrational number will always be an irrational number.

Because the product is always a non-terminating, non-repeating decimal number.

Then the correct option is A.

More about the rational number link is given below.

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Answer:

0.6

Step-by-step explanation:

Answer:

0.2 I think

Step-by-step explanation:

Answer:

a) 0.587 = 58.7% probability that the company uses flexible work arrangements or gives time off for volunteerism.

b) 0.205 = 20.5% probability that the company uses flexible work arrangements and does not give time off for volunteerism.

c) 0.3317 = 33.17% probability that the company uses flexible work arrangements.

d) 0.4634 = 46.34% probability that the company does not use flexible work arrangements given that the company does give time off for volunteerism.

e) 0.795 = 79.5% probability that the company does not use flexible work arrangements or the company does not give time off for volunteerism.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

a. The company uses flexible work arrangements or gives time off for volunteerism.

41% use flexible work arrangements.

Of the 100-41 = 59% that do not use flexible work arrangments, 30% give time off for volunteerism. So

[tex]p = 0.41 + 0.59*0.3 = 0.587[/tex]

0.587 = 58.7% probability that the company uses flexible work arrangements or gives time off for volunteerism.

b. The company uses flexible work arrangements and does not give time off for volunteerism.

41% use flexible work arrangements. Of those, 100 - 50 = 50% do not give time off for volunteerism. So

[tex]p = 0.41*0.5 = 0.205[/tex]

0.205 = 20.5% probability that the company uses flexible work arrangements and does not give time off for volunteerism.

c. Given that the company does not give time off for volunteerism, the company uses flexible work arrangements.

Here, we use conditional probability.

Event A: Does not give time off for volunteerism

Event B: Uses flexible work arrangments.

0.205 = 20.5% probability that the company uses flexible work arrangements and does not give time off for volunteerism.

This means that [tex]P(A \cap B) = 0.205[/tex]

Probability that the company does not give time off for volunteerism:

0.205(uses flexible work arrangments).

100 - 30 = 70% of 59%. So

[tex]P(A) = 0.205 + 0.7*0.59 = 0.618[/tex]

The desired probability is:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.205}{0.618} = 0.3317[/tex]

0.3317 = 33.17% probability that the company uses flexible work arrangements.

d. The company does not use flexible work arrangements given that the company does give time off for volunteerism.

Again conditional probability.

Event A: Gives time off for volunteerism

Event B: Does not use flexible work arrangements.

Probability of giving time off for volunteerism:

50% of 41%(have flexible work arrangements).

30% of 59%(don't have flexible work arrangements).

So

[tex]P(A) = 0.5*0.41 + 0.3*0.59 = 0.382[/tex]

Gives time off for volunteerism and does not use flexible work arrangements.

30% of 59%. So

[tex]P(A \cap B) = 0.3*0.59 = 0.177[/tex]

The desired probability is:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.177}{0.382} = 0.4634[/tex]

0.4634 = 46.34% probability that the company does not use flexible work arrangements given that the company does give time off for volunteerism.

e. The company does not use flexible work arrangements or the company does not give time off for volunteerism.

Does not use flexible work arrangments: 59%

Dont give time off for volunteerism(70% already in the 59%, so we dont add) and 50% of 41%.

[tex]p = 0.59 + 0.5*0.41 = 0.795[/tex]

0.795 = 79.5% probability that the company does not use flexible work arrangements or the company does not give time off for volunteerism.

Answer:

6 gallons

Step-by-step explanation:

You can find this using the ration method.

If, 8 gallons : 192 miles

   x gallons : 144 miles

We must find the value of x, which is the number of gallons used to travel 144 miles.

Cross multiply the ratios.

192 x = 8 × 144

192 x = 1152

x = 1152 ÷ 192

x = 6

∴ It takes 6 gallons to travel 144 miles.

Answer:

area of triangle = 1/2 ×base×height

Answer:

there an app called wolfram that you can use because I don't know how to do that

Answer:

x + 4

Step-by-step explanation:

We can see this because x² + 10x + 24 is divisible by x + 6, giving us the quotient of x + 4.

We can demonstrate that by simply multiplying the two binomials:

(x + 4)(x + 6)

= x² + 6x + 4x + 24

= x² + 10x + 24

Answer:

x+4

Step-by-step explanation:

Answer:

hope it helps

Answer:

AFCE = 30

P+Q = 11

Step-by-step explanation:

From the picture, you can see the figure can be decomposed into two identical large triangles with area 20, and 4 identical longer ones, that have to cover the remaining area 40, thus 10 each.

From that you can count the area.

Second puzzle is just trial and error.

Answer:

Answer is 1/12

Step-by-step explanation:

It is the same as 1/3 x 1/4. Hence, giving us 1/12 as answer.

Answer:

6.09+3.84=9.93 is the desired answer

Step-by-step explanation:

Cashews total cost step by step

1.74×3.5

Multiply 1.74 and 3.5 to get 6.09.

6.09

Peanuts total cost step by step

1.92×2

Multiply 1.92 and 2 to get 3.84.

3.84

Answer:

x=49/18

Step-by-step explanation:

Answer:

can you help me to How do wetlands form?

Tributaries flow into rivers.

Runoff travels down the side of a divide.

Water builds up in a depression left by an ice sheet.

Groundwater comes to the surface and floods the land.

Step-by-step explanation:

Answer:

1) 27

2) 2/5

3) 1

4) 1.5 lbs

Step-by-step explanation:

1) First, 8505/315 = 27

2)I don't really have an explanation for this one-

3) 2/3 = 6/9. 6/9 + 3/9 = 1

4) 4/8 x 3 = 1.5

1. 2

8,505 ÷ 315 = 27

2. 2 ÷ 5

Fractions are division problems so it would be 2 divided by 5

3. 9/9 or 1

Make them have the same denominator

2/3 + 3/9 = 6/9 + 3/9 = 9/9 = 1

4. 1 ½

4/8 simplified is ½ so you should do ½ x 3 = 1 ½

5. The baker needs 750 more grams

Multiply 2.5 by 1000, which is 2500

That’s how many grams the baker needs, now you need to do 2500 - 1750

Which is 750 grams

Sorry that this took a while, but I am happy to help you!!

Answer:

What is the difference between linear and exponential functions? Linear functions change at a constant rate per unit interval. An exponential function changes by a common ratio over equal intervals.