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3 years ago

A group of friends go out for lunch. If they order 2 hot dogs and 4 cheeseburgers, the bill will

Mathematics

1 answer:

Trava [24]3 years ago

8 0

Answer:

$2.75 = cost of a hot dog

$4.50 = cost of a cheeseburger

Step-by-step explanation:

Let x = cost of a hot dog

y = cost of a cheeseburger

(1) 2x + 4y = 23.5 (2) 5x + y = 18.25

y = 18.25 - 5x

2x +4(18.25 - 5x) = 23.5

2x + 73 - 20x = 23.5

-18x + 73 = 23.5

-18x = -49.5

x = 2.75 y = 18.25 - 5(2.75)

y = 18.25 - 13.75

y = 4.50

$2.75 = cost of a hot dog

$4.50 = cost of a cheeseburger

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Which equation is the inverse of Y equals 2X squared -8

kipiarov [429]

Answer:f−1(x)=√2(x+8)2,−√2(x+8)2

Step-by-step explanation:

Interchange the variables. Solve for y. Solve for y and replace with f^-1(×). Replace the y with f^-1 (x) to show the answer.

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3 years ago

Whats the value of the dimes?

svp [43]

The value of a dimes are 10 cents

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3 years ago

Artie's dad's house is 21 ft tall. If Artie's dad is at the top of the house installing shingles, and his son Artie is on the gr

konstantin123 [22]

Answer:

B. 60.26°

Step-by-step explanation:

Given:

Consider the diagram representing the above scenario.

The top of the house where dad is standing is at A. The point where his son is standing is B. The bottom of the house is at C. AC is the height of house, BC is the distance between the house and son.

Height of the house (AC) = 21 ft

Distance between the house and son (BC) = 12 ft

Let the angle of depression for the dad be 'x'.

From the figure, it is clear that,

Angle of depression of the dad will be same as angle of elevation of Artie.

For triangle ABC,

$\tan x=\frac{AC}{BC}\\\\\tan x=\frac{21\ ft}{12\ ft}\\\\\tan x=1.75\\\\x=\tan^{-1}(1.75)\\\\x=60.26$

Therefore, the angle of depression from the top of the house to the spot where Artie is standing is 60.26°.

Therefore, the correct option is option (B).

6 0

4 years ago

P(C)= 0.02. What is the complement of P(C)?

Law Incorporation [45]

Answer:

P'(C) = 0.98

Step-by-step explanation:

Given that,

P(C) = 0.02 (The probability of getting C)

We need to find the complement of P(C) i.e. P'(C).

We know that,

P(C)+P'(C)=1

P'(C) = 1-P(C)

= 1-0.02

= 0.98

So, the complement of P(C) is equal to 0.98.

3 0

3 years ago

Question 7(Multiple Choice Worth 2 points)

agasfer [191]

The approximate value of 九十√70 is 11.51, correct option is 11.51.

<h3>What is an approximation?</h3>

An approximation is anything that is similar, but not exactly equal, to something else.

Now, the value of 九 is given as 22/7 is 3.142

To the nearest hundredth, it can be written as 3.14

The value of +√70 is given as 8.366

To the nearest hundredth as 8.37

For the required value of the expression we can write,

九十√70

Put the value of 九 = 3.14

and value of √70 = 8.37

Putting values in expression we have,

九十√70 = 3.14 + 8.37

⇒九十√70 = 11.51

Hence,the approximate value of 九十√70 is 11.51.

So,the correct option is 11.51.

More about approximation :

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2 years ago