Hai has 1 gallon jug of water. He drinks 1/8 gallons of water before lunch and 2/3 gallons of water after lunch. How much water did Hai drink all day?​

Step-by-step explanation:

a) We are going g to use the definition of tangent to find x:

[tex]\tan{18°} = \dfrac{opp}{adj} = \dfrac{15}{x}[/tex]

[tex]\Rightarrow x = \dfrac{15}{\tan{18°}} = 46.2[/tex]

b) To solve this problem, we are going to use the definition of cosine:

[tex]\cos{70°} = \dfrac{adj}{hyp} = \dfrac{x}{46}[/tex]

[tex]\Rightarrow x = 46\cos{70°} = 15.7[/tex]

Answer:

B

Step-by-step explanation:

<STR = <SRT                      Given the markings of the triangle

<STR + <STU = 180            Supplementary angles

(2x - 9) + 7x = 180               Remove the brackets

2x - 9 + 7x = 180                 Combine

9x - 9 = 180                         Add 9 to both sides

9x = 180 + 9                        Combine

9x = 189                              Divide by 9

9x/9 = 189/9

x = 21

Answer:

9:29pm

Step-by-step explanation:

Answer:

Well I assume 220ºC.

Step-by-step explanation:

That is the MAXIMUM temperature of the oven

Answer:

Step-by-step explanation:

(5, 0) (6, 8)

(8 - 0)/(6 - 5) = 8/1 = 8

Answer:

Inverse:  (3, 2)

Step-by-step explanation:

Given the point, (2, 3), as an ordered pair of the function, f(x):

Since we know that for any functions, there is a one-to-one correspondence between each domain and range values.  Conversely, each range value also corresponds to one domain value.  

The inverse of a function, [tex]f^{-1}(x)[/tex], also has a one-to-one correspondence. Simply put, we are essentially switching the x and y values to determine the inverse of a function.

Therefore, given the ordered pair from f(x) = (2, 3), then the corresponding coordinates in the inverse function, [tex]f^{-1}(x)[/tex], must be (3, 2).

Answer:

D

Step-by-step explanation:

it's 100% I'm super sure

alternate entireror angles are congurent by this rule you can find your answer by solving the equation

Jeremy is incorrect because a negative plus a negative will always be a negative.

Answer:

distance, speed, time, temperature , work, energy, charge, voltage are all scalar quantities. Displacement, velocity, acceleration, force, electromagnetic field are all vector quantities.

Step-by-step explanation:

Displacement and velocity.

Answer:

7.5 cm

Step-by-step explanation:

Since it's a right triangle, apply pythegorean theorem

Let the missing side be x

[tex] {7.8}^{2} = 2.1 { }^{2} + x {}^{2} [/tex]

[tex]60.84 = 4.41 + {x}^{2} [/tex]

[tex] {x}^{2} = 60.84 - 4.41[/tex]

[tex] {x}^{2} = 56.43[/tex]

[tex] \sqrt{ {x}^{2} } = \sqrt{56.43} [/tex]

[tex]x = 7.5[/tex]

Therefore, the length of the missing side is 7.5 cm

Ratios are simply used to compare two or more related quantities

(a) Comparing quantities

To compare quantities, we make use of ratios.

Hence, a way to compare two or more quantities is by using ratio

(b) Statement of equality between ratios

When two or more ratios are equal, the ratios are said to be equivalent ratios

Hence, the statement of equality between ratios is equivalent ratios

(c) Express (3) and (4) as ratios

There are 10 stars and 8 crosses.

So, the ratio is 10 : 8

There are 3 toys and 9 books.

So, the ratio is 3 : 9

(d) Compare balloons and party hats

There are 12 balloons and 18 party hats.

So, the ratio is 12 : 18

Reduce the ratio as follows:

12 : 18 = 2 : 3 ---- this is done by dividing 12 and 18 by 6

So, the comparison is:

There are 2 balloons for every 3 party hats

(e) Simplify (4)

In (4), we have:

Ratio = 3 : 9

Divide by 3

Ratio = 1 : 3

Hence, the simplified ratio is 1  3

(f) Express the currency ratio in its simplest form

The ratio is given as:

Ratio = 4 * 1 peso coin : Php80.00 coin

Evaluate the product

Ratio = 4 peso coin : Php80.00 coin

Divide both sides by 4

Ratio = 1 peso coin : Php20.00 coin

Hence, the simplest form of the ratio is 1 : 20

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~quadratic equation

======================

2x² + 3x - 20 = 0

= a + b = 3

= ab = 2(-20) = -40

= a = -5

= b = 8

= (2x² - 5x) + (8x - 20)

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

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

= Solution 1 : x = 5/2 ✔️

Solution 2 : x = -4 ✔️

~ nice to help you ^^

[tex]2x^2 +3x -20 =0\\\\\\\implies x = \dfrac{-3 \pm \sqrt{(-3)^2 - 4 \cdot 2 \cdot (-20)}}{2 \cdot 2}\\\\\\\implies x = \dfrac{-3 \pm \sqrt{169}}{4}\\\\\\\implies x = \dfrac{-3\pm 13} 4 \\\\\\\text{Hence} \\\\x = \dfrac{-3+ 13}{4} = \dfrac{10} 4 = \dfrac{5}2\\\\\text{Or}\\\\x= \dfrac{-3-13}4 = -\dfrac{16}4 =-4[/tex]

Answer:

y = — 9/2x + 6

Step-by-step explanation:

m= —9/2

y — y1 = m (x — x1)

y + 3 = —9/2 (x — 2)

y = — 9/2x + 6

The completed ratio chart is provided below:

Feet of Ribbon    1             5   10    15

Cost                     $0.60   $3  $6   $9

The amount Serena would get if she has $12 is 20 yards.

The amount Serena would pay if she wants 17 feet of the ribbon is $10.20.

The first step is to determine the unit cost of a ribbon.

Unit cost of a ribbon = $3 / 5 = $0.60

The cost of 10 feet of the ribbon = $0.60 x 10 = $6

The cost of 15 feet of the ribbon = $0.60 x 15 = $9

The feet of ribbon Serena can buy if she has $12 = $12 / $0.60 = 20 yards.

The cost of 17 feet of the ribbon = $0.60 x 17 = $10.20

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Answer:

D) t = 5

Step-by-step explanation:

when t =5 both functions have the same x and y value

Answer:

m-4

Step-by-step explanation:

4 marbles taken away = -4 marbles

Answer:

Zero

Step-by-step explanation:

The question is impossible to answer. 501+5 does not equal 551, 501+5 equals 506.

Answer:

8/5 cups

Step-by-step explanation:

equal 5/4 to 2/x x representing the amount of flour

cross multiply: 5x=8

divide: x=8/5

Answer:

a) 50

b) 86

c) x = 130      y = 50

Step-by-step explanation:

Opposite angles that share the same lines are always the same.

9514 1404 393

Answer:

Step-by-step explanation:

All of these exponential function problems use the same equation, but with different plug-in values. These can be easily accommodated by a spreadsheet or graphing calculator.

The general form of the value after t years is ...

  (initial value)×(1 +annual growth rate)^(years)

The growth rate is positive for an increase, negative for a decrease.

a) Initial value: 22385; growth rate: -0.14; years: 10

  value after 10 years: $22385×(1-0.14)^10 = $4953.84

__

b) initial value: 290; growth rate: 0.09; years: 5

  population after 5 years: 290(1+.09)^5 = 446

__

c) initial value: $4000; growth rate: -0.10; years: 8

  value after 8 years: $4000(1 -0.10)^8 = $1721.86

Selling the car for $1500 is selling it for less than its estimated value. That may not be a good decision.

_____

Additional comment

The property value of the car is not the only consideration when evaluating the sale. Other costs related to the car may come into play, and there may be tax implications.

Answer:

6sqrt5

Step-by-step explanation:

Step-by-step explanation:

1hr = 60

½ hr = 30

60 + 30 = 90

Probability that it rains and you go over in data tomorrow = 0.0539

Percentage of time it takes to go over your data limit = 49%

Probability that you go over your data limit, P(data) = 49/100

P(data) = 0.49

The chance that it rains tomorrow = 11%

Probability that it rains tomorrow, P(rain) = 11/100

Probability that it rains tomorrow, P(rain) = 0.11

Probability that it rains and you go over your data tomorrow = P(rain) x P(data)

Probability that it rains and you go over in data tomorrow = 0.11 x 0.49

Probability that it rains and you go over in data tomorrow = 0.0539

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We want to find the two numbers you picked, we will find that the two numbers you picked are 3 and 7.

First, you pick a number between 0 and 10, let's say that the number is N.

Then multiply it by 5 and add 7, so we get:

(5*N + 7)

Now we multiply this by 2

2*(5*N + 7)

Now we add another number between 0 and 10, let's call it M.

We need to add that to the product, and then subtract 6, and that will be equal to 45.

2*(5*N + 7) + M - 6 = 45

Now let's simplify the expression:

2*(5*N + 7) + M = 45 + 6 = 51

10*N + 14 + M = 51

10*N + M = 51 - 14 = 37

10*N + M = 37

With this, we want to find the values of N and M, but remember that these two values belong to the interval [0, 10]

So the only two solutions are:

N = 3 and M = 7

such that:

10*3 + 7 = 30 + 7 = 37

So the two numbers you picked are 3 and 7.

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Answer:

79.04 liters

Step-by-step explanation:

20.8 x 3.8 = 79.04

Answer:

29

Step-by-step explanation:

12000/425

Answer:

At the store the ratio of books sold to movies sold was 4:5.For every 4 books sold there were 5 movies sold.

Step-by-step explanation: