Yoko pumped 48 gallon of water out of her pool.this was done over a period of 8 minutes at a constant rate.what was the change in the amout of water in the pool each minute

Given, In a group of 300 people, 100 like folk songs, 20% like folk songs but not pop song. if the ratio of people who like pop songs only and do not like both is 3:2. We are to find the number of people who like only one song.

The number of people who like folk songs = 100.We know, that 20% of people like folk songs but not pop songs.So, the number of people who like both folk and pop songs = 20% of 100 = 20.The remaining number of people who like only folk songs = 100 - 20 = 80Let the number of people who like only pop songs be 3xAnd, let the number of people who do not like any song be 2x.

Then, total number of people who like one or the other song = 80 + 20 + 3x + 2x = 100 + 5xWe know, the total number of people = 300Therefore, the number of people who like both folk and pop songs = 300 - (number of people who do not like any song)Therefore, 20 = 300 - 2x5x = 280⇒ x = 56Therefore, the number of people who like only pop songs = 3x = 3 × 56 = 168The number of people who like only one song = 80 + 168 = 248. Hence, the required number of people who like only one song is 248.

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Answer:    

a:    450 + .05c  ≥  600

b:    She needs to make $3,000 in sales to reach her goal.

PLz mark brainliest

Answer:

The answer is 3.95

Step-by-step explanation:

0×.5 + 5×.2 + 8×.15 + 10×.1 + 15×.05 = ?

0 + 1 + 1.2 + 1 + .75 = 3.95

Answer:

y = -1/5 x + 5

Step-by-step explanation:

Answer: $3.40 per pint

Step-by-step explanation:

1 gallon=8 pints

3 gallons * 8 pints/1 gallon=

3*8/1=

3*8=24 pints in 3 gallons

$81.6 for 24 pints of paint

81.6/24=$3.40 per pint

Answer:

Step-by-step explanation:

each of the 6 number has a 1/6 chance of being rolled

 1       2       3      4      5       6

1/6     1/6    1/6    1/6    1/6    1/6

Every time the cube is rolled  there is a 6/6 chance of any number comes up

1/6  +   1/6  +  1/6 +   1/6 +   1/6  +  1/6   = 6/6     or  1  

What is the probability of NOT rolling a 2? Any other number

 1        2       3        4        5         6

1/6  +   0  +  1/6 +   1/6  +  1/6 +   1/6   =   5/6    or    0.8333

\((\stackrel{x_1}{4}~,~\stackrel{y_1}{9})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{8}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{8}-\stackrel{y1}{9}}}{\underset{run} {\underset{x_2}{2}-\underset{x_1}{4}}}\implies \cfrac{-1}{-2}\implies \cfrac{1}{2}\)

\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{9}=\stackrel{m}{\cfrac{1}{2}}(x-\stackrel{x_1}{4}) \\\\\\ y-9=\cfrac{1}{2}x-2\implies y=\cfrac{1}{2}x+7\)

The critical value zₐ/₂ that corresponds to an 83% level of confidence is approximately 1.381.

To find the critical value zₐ/₂, we need to determine the value that leaves an area of (1 - α)/2 in the tails of the standard normal distribution. In this case, α is the complement of the confidence level, which is 1 - 0.83 = 0.17. Dividing this value by 2 gives us 0.17/2 = 0.085.

To find the z-value that corresponds to an area of 0.085 in the tails of the standard normal distribution, we can use a standard normal distribution table or a statistical calculator. The corresponding z-value is approximately 1.381.

Therefore, the critical value zₐ/₂ that corresponds to an 83% level of confidence is approximately 1.381.

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13. The strategies used to decide how to order or group factors includes prime factorization, exponents, distributive property

14. The need for reordering factors involves solving equations, applying theorems.

In grouping and ordering factors, we have to consider methods like prime factorization, factoring by grouping, employing exponents, using common factors.

Also, we should consider algebraic approaches like the distributive property for ranking and grouping components.

Elements or factors are rearranged for a variety of purposes, such as to solve equations or inequalities, uncover patterns, make computations easier, or apply particular mathematical principles or theorems

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Answer:

76

Step-by-step explanation:  and explain

Answer:

Step-by-step explanation:

hello : here is an solution

Answer:

0.097%

Step-by-step explanation:

Since this is a series of events probability question, in order to calculate the probability you need to first find the probability of getting each individual answer right and then multiplying those probabilities together. This will give you the probability of getting 100% on the entire test. Since the questions are multiple-choice with 4 choices and only 1 correct choice then the probability of getting one right is 1/4 or 25%. Now that we have that probability we simply need to multiply it 5 times for each individual question.

1/4 * 1/4 * 1/4 * 1/4 * 1/4 = 1/1024 or 0.0009765 or 0.097%

Answer:

See below!

Step-by-step explanation:

1) 720cm - m

2) 983 mm - m

3) 130.5kL - L

4) 0.03 g - mg

5) 997 g - kg

6) 9.1 l - ml

7)3.75 c - ml

8) 41.8 in - cm

9) 156.25 lb - kg

10) 9.5 gal - l

11) 680.4 g - lb

12) 4.725 m - ft

Hope this helps, have a lovely day! :)

we know that the cos(θ) is -(3/5), however θ is in the II Quadrant, where the cosine is negative whilst the sine is positive, meaning the fraction is really (-3)/5, so

\(cos(\theta )=\cfrac{\stackrel{adjacent}{-3}}{\underset{hypotenuse}{5}}\qquad \qquad \textit{let's find the \underline{opposite side}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \sqrt{c^2-a^2}=b \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases}\)

\(\pm\sqrt{5^2-(-3)^2}=b\implies \pm\sqrt{25-9}=b\implies \pm 4=b\implies \stackrel{II~Quadrant}{+4=b} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill csc(\theta )=\cfrac{\stackrel{hypotenuse}{5}}{\underset{opposite}{4}}~\hfill\)

Answer: Y=-5/2x+5(Idk i'm doing it off of my head)

Answer:

y=5/2x -5 slope is 5/2

Step-by-step explanation:

parallel lines have the same slope

The truth value of the ~[P v (Q v R)] >~ (S v P) is true.

Truth-value, in logic, is the degree to which a particular proposition or assertion is true (T or 1) or false (F or 0). Because the truth-value of a compound proposition is a function of, or a quantity depending upon, the truth-values of its component components, logical connectives like disjunction and negation can be conceived of as truth-functions.

Given, ~[P v (Q v R)] >~ (S v P) since P v (Q v R) is true, thus ~ [ P v ( Q v R ) ] is false, therefore the implication is true.

⇒~[T v (F v T)] >~ (F v T)

⇒[F v (F v T)]>(T v T)

⇒[F v (F v T)]>(T v T)

⇒F v T

⇒T

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Answer:n=28

Step-by-step explanation:

The correct transformations:

1) 3 x Equation [A2] + Equation [A1] → Equation [B1]

2). 1/11 x Equation [B1} → Equation [C1]

The correct options are D and A respectively.

One or many equations having the same number of unknowns that can be solved simultaneously are called simultaneous equations. And the simultaneous equation is the system of equations.

Given:

We have three systems of linear equations.

To transform system A into system B:

Multiply 3 to the equation A2 and then add to equation A1,

we get,

-7x +18x -6y + 6y = 10- 54

11x = -44

equation B1.

To transform system B into system C:

Multiply 1/11 to equation B1,

we get,

x = -4

equation C1.

Therefore, the transformations are given above.

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Answer:

The answer is A: Accurate. Each pair of sides corresponds with a common ratio of 2.

Step-by-step explanation:

Got it on the quiz on edg 2021 :D

Correct option is B, the graph represents the inequality y ≤ - x + 9.

Both mathematical expressions that are created by joining two expressions are called inequalities. The equation's two expressions are deemed to be equal when the equals sign (=) is present. The characters >, or indicate that the two expressions are not necessarily equal in an inequality.

We may see the values that an inequality reflects by placing inequality on a number line. We create a straight line and identify the end points with either an open circle or a closed circle in order to represent inequalities on a number line.

For the given graph,

y ≤ - x + 9

Put x = 0

y ≤ 9

The above condition is correct for the given graph.

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The equation that can be used to prove 1 + tan2(x) = sec2(x) is StartFraction cosine squared (x) Over tangent squared (x) EndFraction + StartFraction sine squared (x) Over tangent squared (x) EndFraction = StartFraction 1 Over tangent squared (x) EndFraction. the correct option is d.

In order to prove this, we can use the following identities:

tan(x) = sin(x) / cos(x)

sec(x) = 1 / cos(x)

tan2(x) = sin2(x) / cos2(x)

sec2(x) = 1 / cos2(x)

Substituting these identities into the given equation, we get:

StartFraction cosine squared (x) Over tangent squared (x) EndFraction + StartFraction sine squared (x) Over tangent squared (x) EndFraction = StartFraction 1 Over tangent squared (x) EndFraction

Therefore, 1 + tan2(x) = sec2(x).

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Answer:

There is a 65% chance it will not rain

Step-by-step explanation:

The probability must add to 100%.  There are two choices: it will rain or it will not rain

100-35% = 65%

There is a 65% chance it will not rain

The length of the component in the drawing is 2.5 cm

As per the data given an engineer is using computer-aided deign (CAD) software to deign a component for a space shuttle.

The scale of the drawing is 1 cm : 60 in

That means

1 cm in the drawing represent 60 inches in the actual

So using proportion:

We can find out the the length of the component in the drawing, if the actual length of the component is 12.5 feet

Remember that

1 foot = 12 inches

Convert 12.5 ft to inches

We get:

12.75 ft = 12.75(12)

= 150 in

The scale of 1 cm : 60 in allows us to form the proportion below

\($\frac{1}{60} \frac{c m}{i n}=\frac{x}{150} \frac{c m}{i n}$\)

x  \($=\frac{153}{60}\)

x = 2.55 cm

Therefore the length of the component is 2.55 cm

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Answer:

x=12.3

Step-by-step explanation:

Yan po Ang x

pa brainlest po

pa follow po

pa heart and 5 star

pls

Answer:

your answer would be 9753/1000

Step-by-step explanation:

2 1/3-1.5x=12.3

step 1:

to solve for x. You have to add 2 1/3 to 12.3 and get x by itself.

2 1/3+ 12.3= 14.63..

step 2 :

now that you have x by itself you're going to divide both sides by x which is -1.5x.

-1.5x/ -1.5x     14.63/ -1.5  =  9.753  

step 3:

to put 9.753 in a fraction get rid of the decimal and put it over 1000 since there are 3 numbers after the decimal point.

so your final answer is 9753/1000

-

Answers:  

A triangle is possible.

The triangle is acute and scalene

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

Explanation:

We use the triangle inequality theorem to see if a triangle is possible with these side lengths.

Consider the side lengths a, b, and c. A triangle is possible if and only if the following 3 conditions hold true

Basically pick any two sides. If the sum is larger than the third side, then a triangle is possible.

-----------------

In this case we have: a = 8, b = 14, c = 16. The order of the a,b,c values doesn't really matter.

Then:

All three inequalities mentioned are true; therefore, a triangle is possible with these side lengths.

-----------------

We'll use those a,b,c values in the converse of the pythagorean theorem to determine what kind of triangle this is. So far we know it's scalene because all three side lengths are different. It would be isosceles if it had exactly two equal sides, and equilateral if all 3 sides were the same length.

\(a^2+b^2 = c^2\\\\8^2+14^2 = 16^2\\\\260 = 256\\\\\)

The last equation is false, which tells us this triangle is not a right triangle. It's either acute or obtuse.

Since \(a^2+b^2 > c^2\) is the case here, we can conclude the triangle is acute

If \(a^2+b^2 < c^2\) was the case, then the triangle would be obtuse.

-----------------

Summary:

Answer:

y=4/5x-3 - (-5, -7)

Step-by-step explanation:

So to solve this, lets just plug in each value for x, and see if the y value we get is equal to one of our answers.

So we have (-10, 5)

Well plug in -10 for 4/5x we get:

-40/5=-8

Next we take that value and solve:

y=-8-3

y=-11

The answer for this was 5, not -11.

Ill skip a few steps:

(10, -11):

Plug in 10 we get:

y=8-3 which is y=5. This is not right, for it needed to be -11.

Next we have (5, -1)

This gets us y=4-3 this is y=1 which is not -1. So thats not right.

Finally we have (-5, -7):

This gets us y=-4-3 this is y=-7. What was our y value? -7!

So the answer is (-5, -7)

I hope this helps! :)

Answer:

14cm

Step-by-step explanation:

As we know , hexagon has six sides .

so ,

We will divide the number of sides by the total perimeter to obtain the length of one side :

_____________________

Hexagon = 6 sides .

Length of one side of hexagon would be = 84/6

=> 14 cm

Answer:

14 cm

Step-by-step explanation:

The perimeter of a regular hexagon is 84 cm. (Given)

Here,

Hexagon = 6 sides

Now,

= 84 ÷ 6

= 14 cm

Thus, the length of one side is 14 cm

The quilt consist of the following geometric shapes, which are the areas

bounded by lines, including;

Geometric shapes are shapes with boundary lines, interior angles and

surfaces.

The possible given quilt is attached;

From the given quilt, we have;

An octagon

A pentagon

A right isosceles triangle

An equilateral triangle

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Answer:

w=4. its pretty simple. all you do is divide by 2

Step-by-step explanation:

Solution

For this case the answer would be:

yes

And the reason is because we have the same shape and with the smae structure so then are congruent