Fine the unknown quantity in the following percent problem using the formal RxB=A. Round your answer to two decimal places, if necessary.

50% of what number is 60?

Answer: B and D.

Step-by-step explanation:

1) Find 40% as a decimal

100% = 1

40% = 0.4

2) It's -40% of its total value. So minus its value time 40%.

p - 0.4p

3) Simplify

0.6p

A) 0.4p not equal 0.6p X

B) 0.6p = 0.6p

C) p - 0.4 not equal 0.6p X

D) p-0.4p = 0.6p

Answer:

x>3

Step-by-step explanation:

5-2x<11

subtract 5on both sides of the equation

-2x<11-5

-2x<6

divide through by n negative 2,and the equality will change

X>-3

Hello there! Let's solve this inequality for the required variable, which is x.

With the given inequality, it can't be done in just one step, however it can be done in a few steps, which are as follows:

[tex]\implies\boldsymbol{5-2x < 11}[/tex]

[tex]\implies\boldsymbol{-2x < 6}[/tex]

[tex]\underbrace{\implies\boldsymbol{x > -3}}_\sf{answer}}[/tex]

I hope it helps, feel free to reach out if you have any queries :)

Answer:

y = 1/2x + 1/2

Step-by-step explanation:

I'm going to give me answer is gradient/slope form :

To work out the gradient we make a triangle from the line and do :

change in y / change in x

You should get 1/2

Now we have y=1/2x + c

to work out c we substitute a point from the line and solve for c :

Point (1 , 1)

1 = 1/2(1) + c

1 = 1/2 + c

c = 1/2

So our final answer is y = 1/2x + 1/2

Hope this helped and have a good day

P ( All three are not caused by firmware ) = 8423 %

The probability that the entire batch will be accepted = 0.8423

We are told that out of the 6225 cases of heart pacemaker malfunctions, 346 were found to be caused by firmware.

Thus,

Cases not caused by firmware = 6225 - 346 = 5879

So, the probability of the first case not being affected by the firmware is;

P( first case not caused by firmware ) = 5879/6225

Also,

The probability of the second case not being affected by the firmware is given as;

P(second case not caused by firmware|first case not affected by firmware) = 5878/6224

Similarly,

The probability of the third case not being affected by the firmware is given as;

P(third case not caused by firmware | first and second not caused by firmware) = 5877/6223

Now that we have the three probabilities, it is clear that the occurrences are not independent because the likelihood of one event depends on the likelihood of the others.

Thus, we will make use of the general multiplication rule which is;

P(A & B) = P(B) × P(A|B)

Thus;

P( All three not caused by firmware ) = P(first case not caused by firmware ) × P( second case not caused by firmware | first case not affected by firmware) × P( third case not caused by firmware | first and second not caused by firmware)

Substituting the values,

P(All three not caused by firmware) = ( 5879/6225 ) × ( 5878/6224 ) × ( 5877/6223 )

P(All three are not caused by firmware) = 0.84232558432 = 84.23 %

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Considering the definition of an equation and the way to solve it, for 6 additional gigabytes of data the two companies would charge the same amount.

An equation is the equality existing between two algebraic expressions connected through the equals sign in which one or more unknown values appear.

The solution of a equation means determining the value that satisfies it. To solve an equation, keep in mind:

Being "x" the number of miles driven, and knowing that:

If the price charged by each company is the same, the equation is:

Price of company A= Price of company B

20.40 +9.80x= 18.60 +10.10x

Solving:

20.40 - 18.60= 10.10x - 9.80x

1.8= 0.3x

1.8 ÷ 0.3= x

6= x

Finally, for 6 of additional gigabytes the two companies would charge the same amount.

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Observing the given limit, as x approaches infinity, the quotient of two limits, f(x) and g(x) is equal to the constant

he definition therefore of the given is that it shows f(x) and g(x) grows at the same rate as x goes to infinity.

Answer:

es la b

Step-by-step explanation:

porque diego es good

:D

The conditional statement that the Venn diagram represents is:

"If it is a rose, then it is a flower".

Here we have a Venn diagram, in it we can see that the set called "roses" is included in the set called "flowers".

So, the conditional statement is:

"if it belongs to the smaller set, then it belongs to the larger set"

This is kinda trivial.

For our case, it will be written as.

"If it is a rose, then it is a flower".

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Answer:

If i'm correct and the symbol between the f and g is multiplication the answer is 0.

Step-by-step explanation:

I have linked how I got this answer in the image below, I hope this is what you were looking for.

It is better to buy 1 liter of soda for $1 compare to 1 gallon of soda for $4  .

As given in the question,

1 liter of soda for $1                    ____(1)

1 gallon of soda for $4

Relation between gallons and liters is given by:

1 gallon is equal to 3.785 liters

1 gallon of soda = $4

⇒ 3.785 liter = $4

⇒ 1 liter = $ ( 4 / 3.785 )

⇒ 1 liter = $ 1.056                _____(2)

From (1) and (2)

$1.056 > $1

It shows $1.056 is little bit higher than $1.

Therefore, it is better to buy 1 liter of soda for $1 compare to 1 gallon of soda for $4 .

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Answer:

Step-by-step explanation:

If Keesha walks 12 blocks to school and its 88 squares in the sidewalk then you multiply 12 by 88 and get 1056:)

hope this helps ^^

Answer:6/7

Step-by-step explanation:

Answer:

162/189

Step-by-step explanation:

Divide by 2...................

All solutions to the cubic equation, 4•x³ + 16•x² + 28•x = 0, are presented as follows;

0, -2 + i•√(3), -2 - i•√(3), which is the option;

The solutions of a cubic function are given by the values at which the graph intersects the horizontal axis.

First Part

The graph showing the shaded region of the inequality is left out

Second part;

The given equation can be presented as follows;

4•x³ + 16•x² + 28•x = 0

Required;

To find all the solutions of the equation

Solution;

The solutions of the equation are given by the locations on the graph where the equation intersects the x–axis, which are therefore, the points where the function is equal to 0

The equation 4•x³ + 16•x² + 28•x = 0 can therefore be used to find the solution as follows;

4•x³ + 16•x² + 28•x = 0

x•(4•x² + 16•x + 28) = 0

x•(4)•(x² + 4•x + 7) = 0

x•(x² + 4•x + 7) = 0 ÷ (4) = 0

x•(x² + 4•x + 7) = 0

Which by the multiplicative identity of 0, gives;

Therefore;

x = 0 is a solution to the equation

The other solutions are found from the quadratic equation, x² + 4•x + 7 = 0, using the quadratic formula that gives the solution to the general quadratic equation, a•x² + b•x + c = 0, as follows;

[tex] \displaystyle{x = \frac{ - b \pm \sqrt{ {b}^{2} - 4 \times a \times c } }{2 \times a }}[/tex]

Comparing the general form of the quadratic equation to the quadratic equation from the question;

a•x² + b•x + c = 0

x² + 4•x + 7 = 0

Gives;

a = 1

b = 4

c = 7

Plugging in the above values of a, b, and c, we get;

[tex] \displaystyle{x = \frac{ - 4 \pm \sqrt{ {4}^{2} - 4 \times 1 \times 7 } }{2 \times 1} = \frac{ - 4 \pm 2 \cdot\sqrt{ - 3} }{2} }[/tex]

Which gives;

x = -2 ± √(-3) = -2 ± i•√(3)

The other solutions are therefore;

The solutions of the equation, 4•x³ + 16•x² + 28•x = 0, are therefore;

x = 0, x = -2+i•√(3), and x = -2 - i•√(3)

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Answer:

A. 6

B. 2

Step-by-step explanation:

28/4 = 6

4/2=2

The complementary angle to 38° is 52°.

What is an angle?

An angle is a figure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are on the plane where the rays are located. The meeting of two planes also creates angles. We refer to these as dihedral angles. The angle formed by the rays lying perpendicular to the two crossing curves at the point of junction is another property of intersecting curves. Angle can also refer to the length of a rotation or an angle. This metric represents the relationship between a circular arc's length and radius.

Let the angle be x°

Then the compliment of the angle = (90-x)°

and supplement of the angle = (180-x)°

According to question, (180-x) + 14 = 3(90-x)

or, 180-x+14 = 270-3x

or, -x+3x = 270-194

or, 2x = 76

or, x = 76/2 = 38°

Hence, the complementary angle to 38° is = 90-38 = 52°

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The expression after applying the distributive property, the formula becomes 0.8 + 3.6.

Algebra is the study of mathematical symbols, while logic is the manipulation of those symbols.

Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction are all part of the PEMDAS formula. To answer the problem properly and accurately, this rule is used.

When you combine the results of two or more arithmetic operations, the result is the same as when you multiply each addend individually by the quantity and then unite the resultant products.

Given below is the phrase.

= −0.4 (−2 + (−9))

Once the distributive property has been used, we have

= 0.8 + 3.6

The result of applying the distributive property will be the equation 0.8 + 3.6.

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Answer:

The absolute value is the distance between a number and zero on a number line. There are always two numbers on the number line that are the same distance from zero. For instance, the numbers 4 and -4 are each a distance of 4 units away from zero. represents the distance from 4 to zero, which equals 4.

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Titanium is used in aerospace (jet engines, missiles, and spacecraft), military, industrial processes (chemicals and petrochemicals, desalination plants, pulp, and paper), automotive, agriculture (farming), medical prostheses, orthopedic implants, dental and endodontic instruments and files, dental implants, sporting goods, jewelry, cell phones, and other applications, titanium can be alloyed with iron, aluminum, vanadium, and molybdenum, among other elements. And it's half life as per question is [tex]A(t)=A(500)*0.5^{\frac{t}{6} }[/tex]

The chemical element titanium has atomic number 22 and the symbol Ti. A transition metal with a silver hue, low density, and high strength that is resistant to corrosion in sea water, aqua regia, and chlorine can be created by reducing the only form it is found in the nature—an oxide.

William Gregor found the titanium in Cornwall, Great Britain, in 1791. Martin Heinrich Klaproth gave the metal the Titans' name from Greek mythology. The element is found in practically all living organisms, as well as bodies of water, rocks, and soils. It is mostly found in the minerals rutile and ilmenite, which are widely distributed in the Earth's crust and lithosphere. The Kroll and Hunter procedures are used to separate the metal from its main mineral ores. Titanium dioxide, the most prevalent substance, is a well-liked photocatalyst and is utilized in the production of white pigments. In addition, there are other substances such titanium tetrachloride (TiCl4), which is used in smoke screens and catalysts, and titanium trichloride (TiCl3), which is a catalyst in the creation of polypropylene.

This equation can be used to calculate the quantity of unstable nuclei left after time t:

[tex]N(t)=N(0)*0.5^{\frac{t}{T} }[/tex]

where,

N(t) = remaining quantity of substance after time t has elapsed

N(0)=  initial quantity of this substance

T= half life

So, as per question,

[tex]A(t)=A(500)*0.5^{\frac{t}{6} }[/tex]

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Answer:

A = 500 (1-0.5)^t/6 =500 (0.5)^t/6

Step-by-step explanation:

Took the test, this is the correct answer

A(t)=P (1-decay rate)^t

P=initial amount

Decay rate = 1/2=0.5

t=time

Make sure use t in minutes for the next calculation

Answer:

Step-by-step explanation:

The triangles are congruent because they have the same shape and size. They are also related in another way that I can't remember.

P(A) given that A and B are independent is; 35%

P(A|B) is defined as a conditional probability and it means the probability of event A that depends on another event B. It is also known as "the probability of A given B"

Now, the formula to find P(A|B) is;

P(A|B) = P(A∩B) / P(B)

Where;

P(A∩B) = P(A) *  P(B)

Thus;

P(A|B) = (P(A) *  P(B))/(P(B)

Plugging in the relevant values gives;

0.35 = P(A)

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LET US FIND THE GRADIENT

[tex]m = \frac{y2 - y1}{x2 - x1 \\ \\ } \\ = \frac{6 - ( - 2)}{(3 - ( - 3)} \\ = \frac{6 + 2}{3 + 3} \\ = \frac{8}{6} \\ m= \frac{4}{3} [/tex]

I WILL USE THE POINTS (-3,-2) TO GET THE VALUE OF C

[tex] - 2 = \frac{4}{3} ( - 3) + c \\ - 2 = - 4 + c \\ - 2 + 4 = c \\ c = 2[/tex]

THEREFORE THE EQUATION IS

[tex]y = \frac{4}{3} x + 2[/tex]

ATTACHED IS THE SOLUTION

The total life expectancy of the kid is 45.5 years.

rate of increase of life expectancy = 1.5 years per day

The rate of reduction of life expectancy = 0.5 years per day

37 days will mean ((7x5)+2), i.e., 5 complete weeks and 2 extra days.

Let the 2 extra days be Tuesday and Wednesday, now the 5 complete weeks will start from Thursday and after 37 days, the day will be Wednesday.

In this duration 5 Sundays will come on which the kid falls ill, so the reduction in life expectancy will be: 0.5 x 5= 2.5 years.

The remaining days will be: 37 - 5 = 32

So, the increase in life expectancy will be: 1.5 x 32= 48 years.

Thus, the total life expectancy of the kid is found to be : (48-2.5)years=45.5 years.

What are linear equations?

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," where y and x are the variables.

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Answer:

225

Step-by-step explanation:

number of 2 minutes in 30 minutes

= 30 ÷ 2 = 15

each 2 minutes produces 15 widgets , then

15 ( lots of 2 minutes ) produces 15 × 15 = 225 widgets

Answer:

A. would be a quotient of 34 and a remainder of 14

B. would be a quotient of 22 and a remainder of 10

C. would be a quotient of 20 and a remainder of 34

Cartesian Co-ordinate system is used to describe graph of a line along a plane to test independent variable vs dependent variable.

the answer is test points