The following table shows the monthly flow through a dam from October through April.

Step-by-step explanation:

20% = $1.86

1% = 20%/20 = 1.86/20 = $0.093

100% = 1%×100 = 0.093×100 = $9.30

in short : 1.86 × 100/20 = 1.86 × 5 = $9.30

the cost of her dinner without tip was $9.30.

about 25-26 days....

Hope this helped!!

Answer:

26

Step-by-step explanation:

(90-14)/3

= 25..1

Therefore it will take Ced 26 days to complete his goal

Answer:

Remember that the slope of perpendicular lines are negative reciprocals of each other.Step-by-step explanation:y = 1 - 2x     the slope is -2     the value of the x term.So the slope of the new line using point (- 1, 2)  is  1/2.Now use y = mx + b where y = -1, x = 2, and m = 1/2 .y = mx + b-1 = 1/2(2) + b                solve for "b", the y-intersect-1 =  1 + b-2 = bThe line that is perpendicular to y = 1 - 2x  is  y = 1/2x - 2

Step-by-step explanation:

Answer:

[tex](x+1)(x-3)=0\\x=-1,3\\\sqrt{2(-1)+3}=-1\\ \sqrt{1}=-1\\ \sqrt{2(3)+3}=3\\ \sqrt{9}=3\\[/tex]

There are no extraneous solutions

Step-by-step explanation:

To solve this equation, first we want to cancel out the radical;

[tex](\sqrt{2x+3} )^2=x^2; 2x+3=x^2[/tex]

Now that the equation looks simpler, we can slide 2x+3 to the other side to create a polynomial that we can factor;

[tex]x^2-2x-3=0\\(x+1)(x-3)=0[/tex]

You can check for extraneous solutions by plugging the answers in, which I showed above.

Answer:

2/9

Step-by-step explanation:

Step 1

We can't subtract two fractions with different denominators. So you need to get a common denominator. To do this, you'll multiply the denominators times each other... but the numerators have to change, too. They get multiplied by the other term's denominator.

So we multiply 5 by 6, and get 30.

Then we multiply 2 by 9, and get 18.

Next we give both terms new denominators -- 9 × 6 = 54.

So now our fractions look like this:

30

54

−

18

54

Step 2

Since our denominators match, we can subtract the numerators.

30 − 18 = 12

So the answer is:

12

54

Step 3

Last of all, we need to simplify the fraction, if possible. Can it be reduced to a simpler fraction?

To find out, we try dividing it by 2...

Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:

12

54

÷ 2 =

6

27

Let's try dividing by 2 again...

Nope! So now we try the next greatest prime number, 3...

Are both the numerator and the denominator evenly divisible by 3? Yes! So we reduce it:

6

27

÷ 3 =

2

9

Let's try dividing by 3 again...

No good. 3 is larger than 2. So we're done reducing.

There you have it! The final answer is:

5

9

−

2

6

=

2

9

The simplest term is -49h + 70.

The equation given is:

10(-4h + 7) -9h

We have to simplify it in its simplest form:

10(-4h + 7) -9h

After removing the bracket part we have:

= -40h + 70 - 9h

Adding the similar term in the equation we have:

= -49h + 70

Therefore the simplest term of the equation is -49h + 70.

To know more about the simplest form refer to the link given below:

https://brainly.com/question/21527775

#SPJ1

The expression we have to solve is:

When solving this kind of expression, we need to solve first any multiplication before solving the additions.

So we solve 5x8 (which results in 400) and we get:

And finally, we solve the addition:

Answer: 425

20 ft/sec must she let out the string when the kite is 500 ft away from her.

What is rate?

A rate is a unique ratio where the two words are expressed in several units.

For instance, the price is 69 for 12 ounces if a 12-ounce can of maize costs 69. This is not a proportion of two comparable units, like shirts. Cents and ounces are the two dissimilar units in this ratio.

Let x = distance of girl from the point on the ground directly below the     kite at time t

y = length of string at time t

At time t, we have a right triangle with horizontal leg of length x, vertical leg of length 300, and hypotenuse of length y.

Given:  dx/dt = 25

Find:  dy/dt when y = 500

By the Pythagorean Theorem, [tex]x^2 +300^2 = y^2[/tex]

Differentiating both sides, with respect to t,

[tex](2x)\frac{dx}{dt} = 2y\frac{dy}{dt}[/tex]           ...(1)

Since, [tex]x^2 +300^2 = y^2[/tex],  y = 500,

So, x = 400

Plug these values in equation (1).

[tex]2(400)(25) = 2(500)\frac{dy}{dt}[/tex]

After solving,

[tex]\frac{dy}{dt} = 20 ft/sec[/tex]

Therefore, 20 ft/sec must she let out the string when the kite is 500 ft away from her.

To know more about the rate, click on the link

https://brainly.com/question/25793394

#SPJ4

Using the subtraction of two amounts, supposing that today is Monday and the book has 764 pages, he needs to read 500 pages to reach his goal.

Considering that Victor has not started to read the book yet, the number of pages that he needs to read is given by the subtraction of the total number of pages of the book by the number of pages that he wants to have remaining on Friday.

In the context of this problem, we have that:

Then the number of pages that he has to read is given by the subtraction of 764 and 264 as follows:

764 - 264 = 500 pages.

Hence Victor needs to read 500 pages before Friday to reach his goal.

The problem is incomplete and could not be found on any search engine, hence we suppose that:

More can be learned about the subtraction of two amounts at https://brainly.com/question/17301989

#SPJ1

There is insufficient evidence to prove that the dice are loaded because every number on them has a probability of 1/6.

The likelihood of any number appearing on a six-sided die is 1/6.

It will not be 1/6 if it is loaded.

In order to determine whether the provided distribution complies with the idealized distribution of the dice throw, we do a chi-square test.

Step 1: Form the hypothesis.

H₀ = The likelihood of rolling any number on a six-sided die is one-sixth.

H₁ = The likelihood of getting any number on a six-sided die is not one in six.

Step 2: Indicate the degree of significance.

Alpha = 0.5

Step 3: computation of the chi-square test statistic (Image is attached for this step)

Step 4: Discover the important value.

Critical Value ⇒ 12.8325 =CHISQ.INV[1 - (0.05 / 2), 5]

Step 5: Determine the p-value.

p-value ⇒ 0.853 =1 - CHISQ.DIST(1.97,5,TRUE)

Step 6: Make a choice regarding whether or not to reject H₀

We are unable to reject the null hypothesis since the p-value is higher than 0.05.

As a result, we draw the conclusion that there is a 1/6 chance of getting any number on a six-sided die.

Note: Since the chi-square value is below the threshold, the null hypothesis cannot be rejected.

Because every number on the dice has a probability of 1/6, there is insufficient evidence to support the assertion that the dice are loaded.

To know more about probability, refer to this link:

https://brainly.com/question/13017520

#SPJ4

Answer:

a. variable

Step-by-step explanation:

hope this helps

Answer: q = -216

Step-by-step explanation:

multiply both sides

90 + q = -126

move the constant to the right

q = -126 = 90

calculate

q = -216

have a GREAT day!!

There is a 0.0228 percent chance of getting a sample mean this big or bigger.

Given that the sample size is 64, the sample size is 3.2, and the standard deviation is 0.8.

The likelihood of a mean of 3.4 is determined as follows:

#First determine the z-value:

[tex]z=\frac{\bar{X}-\mu}{\sigma / \sqrt{n}}$$=\frac{3.4-3.2}{0.8 / \sqrt{64}}$$=2.000$[/tex]

#We then determine the corresponding probability on the z tables:

[tex]Z(X \geq 3.4)=1-P(X < 3.4)$$=1-0.97725$$=0.0228$[/tex]

Hence, the probability of obtaining a sample mean this large or​ larger is 0.0228.

The sample mean is regularly distributed for samples of any size derived from a population with a normal distribution, with mean X= and standard deviation X=/n, where n is the sample size.

To learn more about probability visit:https://brainly.com/question/11234923

#SPJ4

Answer:

x=5/3

Step-by-step explanation:

Answer:

I see no question?

Step-by-step explanation:

The adult weight of the puppy calculated using percentage is 45 pounds .

In mathematics, a value or ratio that can be expressed as a simple fraction of 100 is known as a percentage.

When determining a percentage of a number, we should first divide it by 100 before multiplying the result by 100.

As a result, the proportion refers to a component per 100. The word percent denotes a percentage of 100.

It is represented by the symbol "%." Percentages can also be written as decimals or fractions, like in 0.6%, 0.25%, etc.

Academic grades are calculated using percentages for every subject. Ram, for example, received a 78% on his qualifying exam.

The weight of the puppy is 9 pounds.

This is 20% of the adult weight.

Let the adult weight be x.

therefore 20% of x = 9

Calculating we get  x = 45 pounds

Hence the adult weight of the puppy is 45 pounds.

To learn more about percentage visit:

https://brainly.com/question/24159063

#SPJ4

The value of g(-3) is 15 of the function:  g(x) = 3(2-x)

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain. A function, according to a technical definition, is a relationship between a set of inputs and a set of potential outputs, where each input is connected to precisely one output.

Given Data

Function

g(x) = 3(2-x)

g(-3)

Equating x = -3

g(-3) = 3(2-(-3))

g(-3) = 3(2+3)

g(-3) = 3(5)

g(-3) = 15

The value of g(-3) is 15.

To know more about function, visit:

https://brainly.com/question/12431044

#SPJ13

The length of the frame the width is 22

What is the perimeter of a frame whose length is 22 inches and whose breadth is 14 inches?

The distance around an object is called the perimeter.

For instance, the yard of your home is fenced in. The perimeter is the length of the fence. Your fence is 200 feet long if the yard is 50 feet by 50 feet.

The answer to the above-mentioned difficulty is provided here.

We will search for the length since the frame's breadth is 14 inches and its perimeter is 72 inches. 2L + 2W is the perimeter formula.

Therefore, let's swap the values.

P = 2L + 2w

72 = 2L + 2(14) (14)

72 = 2L + 28

72 -28 = 2L\s44 = 2L \s22 = L

Consequently, the picture frame's length

To know more about perimeter , click here

brainly.com/question/341702

#SPJ13

The ratio of a new-second to an ordinary second regarding the values given is 125 : 108

The term ratio refers to a comparison of two or more numbers. ratio sometimes appear in the form x : y and is this is said to be x is to y

In the question, converting the units of days, hours, and minutes to seconds we have

= 1 day * 24 hours * 60 minutes * 60 seconds

= 86400

converting the units of days, new-hours, and new-minutes to new-seconds we have

= 1 day * 10 new-hours * 100 new-minutes * 100 new-seconds

= 100 000

The ratio of the new-seconds to ordinary seconds is calculated by

= 100 000 : 86400

= 125 : 108 (in least form)

Learn more on ratio at:

https://brainly.com/question/2914376

#SPJ1

The expected value of the discrete distribution, for each case, is given as follows:

a) Amount won by one entry: $0.075.

b) If the cost is the cost of a postage stamp:  -$0.525.

The expected value of a discrete distribution is obtained with the sum of each outcome multiplied by it's probabillity.

In this problem, the distribution for the prizes is given as follows:

Hence the expected value for the prizes is:

E(X) = 10,000,000 x 1/300,000,000 + 350,000 x 1/150,000,000 + 50,000 x 1/10,000,000 + 20,000 x 1/1,000,000 + 400 x 1/200,000 + 75 x 1/6,000 = $0.075.

The cost of a postage stamp is of $0.6, hence the expected value considering this cost would be of:

0.075 - 0.6 = -$0.525.

More can be learned about the expected value of a discrete distribution at https://brainly.com/question/27899440

#SPJ1

Answer:

a

Step-by-step explanation:

Answer:

B is the answer.

Step-by-step explanation:

X is the number of hours the plumber worked.

Answer: B

Step-by-step explanation:

Answer:

Step-by-step explanation:

Step 1: Flip the equation.

r+2=2

Step 2: Subtract 2 from both sides.

r+2−2=2−2

2-2=0

Therefore your answer is 0

Answer: y=-35

Step-by-step explanation:

The question is 25+y=-10

Now, since we want the value of y, we can see that we have to remove the 25 that is added to it. So, we subtract both sides as it an equal side, and -10-25= -35 So, y=-35

25+y=-10

-25       -25

y=-10-25=-35

Hope this helps

The most appropriate choice for linear inequation will be given by

Solution set = {[tex]x \epsilon \mathbb{R}, x \leq 6[/tex]}

What is linear inequation?

Inequation shows the comparision between two algebraic expressions by connecting the two algebraic expressions by [tex]>[/tex], [tex]<[/tex], [tex]\geq[/tex], [tex]\leq[/tex] sign

A one degree inequation is known as linear inequation.

Here,

[tex]4(x - 3) - 7x \geq 6\\4x -12 - 7x \geq 6\\-3x -12\geq 6\\-3x \geq 6 + 12\\-3x \geq 18\\x \leq \frac{18}{3}\\x \leq 6[/tex]

Solution set = {[tex]x \epsilon \mathbb{R}, x \leq 6[/tex]}

To learn more about linear inequation, refer to the link:

https://brainly.com/question/24372553

#SPJ9

Answer:

20c

Step-by-step explanation:

if the temperature rises 2c every hour u count from 6 to 3 and it would be 10 hours

then u do 10×2=20 or 10×2=20c

If you compare the functions:

Considering f(x) as the parent function, let's analyze each option:

1) Translation 2 units right.

To translate a function 2 units to the right, you have to subtract 2 to the x-term:

As you can see the resulting function, h(x), is not equal to g(x), which means that the transformation applied was not a shift 2 units to the right.

2) Translation 2 units to the left

To translate the function two units to the left, you have to add 2 to the x-term:

The resulting function, i(x), is not equal to g(x), which means that the transformation applied was not a shift of 2 units to the left.

3) Translation 2 units up

To translate a function 2 units up, you have to add 2 to the function, that is:

The function j(x) is different from the function g(x), so the transformation applied was not a shift 2 units up.

4) Translation 2 units down

To shift a function two units down, you have to subtract 2 from the function:

The functions k(x) and g(x) are equal, which means that to determine the function g(x) the function f(x) was translated 2 units down.

Answer:

1,3,4

Step-by-step explanation:

keep it easy