Questions attached below (❁´◡`❁)

Answer:

hey here is the answer

Step-by-step explanation:

Subject of the formula:

It is a variable which is expressed in terms of other variables involved in the formula.

Formulas are written so that a single variable, the subject of the formula is on the L.H.S. of the equation. Everything else goes on the right side of the equation. We evaluate the formula by substituting for the literal numbers on the right hand side.

For example:

In the formula v = u + at, v is the subject.

To find v in the example, we substitute the values u, a and t in the R.H.S. of the equation.

Changing the subject of the formula:

To change the subject of a formula, begin with the variable to become the new subject, and apply inverse operation as for solving equations in the opposite order to the order conventions.  

1. To make ‘u’ the subject of the formula in v = u + at,  

  [subtract at from both sides]

v - at = u

or, u = v - at

2. To make ‘t’ the subject of the formula, v = u + at,

 [subtract u from both sides]

v - u = at

or, (v - u )/a = t

or, t = (v - u)/a

Change the Subject of a Formula

The value of the equation is v = 96 when u = 6 and t = 9

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

v = u + 10t   be equation (1)

when u = 6 and t = 9

Substitute the value of u and t in the equation , we get

v = 6 + 10 ( 9 )

On simplifying the equation , we get

v = 6 + 90

v = 96

Therefore , the value of v is 96

Hence , the equation is v = 96

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Answer:

1 pint

Step-by-step explanation:

You need 2 * 2 = 4 pints to make 12 cookies. Since 3 cookies is 1/4 of 12 cookies, you would need 1/4 * 4 = 1 pint of milk to make 3 cookies.

Answer:

1 pint

Step-by-step explanation:

12c=4p

divide both sides by 4

3 cookies needs 1 pint!!!!

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Answer:

See below.

Step-by-step explanation:

[tex]\cot(x-\frac{\pi}{2})=-\tan(x)[/tex]

Convert the cotangent to cosine over sine:

[tex]\frac{\cos(x-\frac{\pi}{2} )}{\sin(x-\frac{\pi}{2})} =-\tan(x)[/tex]

Use the cofunction identities. The cofunction identities are:

[tex]\sin(x)=\cos(\frac{\pi}{2}-x)\\\cos(x)=\sin(\frac{\pi}{2}-x)[/tex]

To convert this, factor out a negative one from the cosine and sine.

[tex]\frac{\cos(-(\frac{\pi}{2}-x ))}{\sin(-(\frac{\pi}{2}-x))} =-\tan(x)[/tex]

Recall that since cosine is an even function, we can remove the negative. Since sine is an odd function, we can move the negative outside:

[tex]\frac{\cos((\frac{\pi}{2}-x ))}{-\sin((\frac{\pi}{2}-x))} =-\tan(x)\\-\frac{\sin(x)}{\cos(x)} =-\tan(x)\\-\tan(x)\stackrel{\checkmark}{=}-\tan(x)[/tex]

Answer:

Step-by-step explanation:

Distributive property of multiplication has to do with the multiplication of numbers by the sum of that number

say in our given example $2.05.

When we decide to multiply 3 property with $2 and $0.5 which when added together will still give  $2.05, we are using distributive property of multiplication.

Hence according to distributive property 3*$2.05 is the same as

3*$2 + 3*$0.5

Answer:

6/80, 9/120, 12/160 etc

Answer:

3/40 = 6/80 = 9/120 = 12/160 etc......

Hope it helps

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Answer:

U B = 100.5

Step-by-step explanation:

the upper bound of the size of the television screen= 95.5 since it is corrected to the nearest 5 then the U B =100.5 cm

The upper bound of the size of the television screen is 100.5 cm

The conversion of the size of the television screen to the nearest 5cm from the initial size of 95 cm is = 100 cm.

Now, the upper bound of the size of the television screen which is 100 is can be determined by the addition of a half value to 100 cm:

i.e.

= (1/2) + 100 cm

= 0.5 + 100 cm

= 100.5 cm

Therefore, we can conclude that the upper bound of the size of the television screen is 100.5 cm

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Answer:

36 answered correctly

Step-by-step explanation:

Hey there!

Well 90% of 40 is 36.

This is true because 90% as a fraction not simplified is 36/40 and when we do,

36 ÷ 40 we get .9.

And we move the decimal places 2 times to the right in .9 and we get 90%.

Hope this helps :)

Answer:

36

Step-by-step explanation:

G(f(10))

First solve f(x) by replacing x with 10:

F(x) = x-4 = 10-4 = 6

Now replace x in g(x) with 6

G(x) = 6-x = 6-6 = 0

So g(f(10)) = 0

Answer:

45/22

Step-by-step explanation:

(a/b)/(c/d) = (a*d)/(b*c)

then

{(5/8)/(11/9)} / {1/4)}

= {(5*9)/(8*11)} / {1/4)

= {45/88} / {1/4}

= {45*4} / {88*1}

= 180/88

= 45 / 22

Answer:

Step-by-step explanation:

Given the set T{X: 2<x ≤ 9} where x is an integer, the element of the set T will be {3, 4, 5, 6, 7, 8, 9}.  note that from the inequality set 2<x ≤ 9, x is not equal to 2 but greater than 2. The inequality can be divided into two as shown;

If 2<x ≤ 9 then 2<x and x≤9

If 2<x, this means x>2 but not equal to 2. This is the reason why 2 is not contained in the set T.

Similarly if x≤9, this shows that x can not be greater than 9 but less than or equal to 9.

Since the set T =  {3, 4, 5, 6, 7, 8, 9}, we are to find n(T). n(T) means cardinality of the set T and cardinality of a set is defined as the total number of element in a set.

Hence n()n(T) = 7 (since there are 7 elements in the set T)

Answer:

x = 6 gallons (of 30% alcohol)

y = 12 gallons (of 60% alcohol)

Step-by-step explanation:

Let

x = liters of 30% alcohol

y = liters of 60% alcohol

There are two unknowns, we need two equations

x + y = 18. (1)

0.30x + 0.60y = 0.50(x+y) (2)

From (1)

x + y = 18

y = 18-x

Substitute the value of y into (2) and solve for x:

0.30x + 0.60y = 0.50(x+y)

0.30x + 0.60(18-x) = 0.50(x+18-x)

0.30x + 10.8 - 0.60x = 0.50(18)

10.8 - 0.30x = 9

-0.30x = -1.8

Divide both sides by -0.30

x = 6 gallons (of 30% alcohol)

Substitute x=6 into (1) and solve for y:

x + y = 18

6 + y = 18

y = 12 gallons (of 60% alcohol)

Answer:

8/81

Step-by-step explanation:

8/18 x 4/18 = 32/324 = 8/81

The probability of drawing a blue and then a green and replacing the candy after the draw is 8/81.

Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Probability = Number of favorable outcomes / Number of sample

It is given that in a bag of M&MS there are 4 green, 6 yellow, and 8 blue candies.

The probability for blue = 8/18

The probability for green = 4/18

The probabilities of drawing a blue then green if you replace the candy after the draw will be calculated as below:-

Probability = 8/18 x 4/18

Probability = 32/324

Divide the number 32 by 324 to get the probability.

Probability = 8/81

Therefore, the probability of drawing a blue and then a green and replacing the candy after the draw is 8/81.

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Answer:

1:55 pm

Step-by-step explanation:

So, you arrive at 4: 15 pm in Orlando after a 2 hr and 20 minute flight from Houston.  So, lets start with the easy part: let's subtract the 2 hrs part.  

2 hrs earlier from 4:15 pm is 2:15 pm.

Then, you have to subtract the 20 minutes.  Well, it's quite obvious that if you left at 2:00 pm, that would be a total of 2 hrs and 15 minutes.  Just subtract the 15 minutes from the 2:15 pm.  However, it's 20 minutes, not 15, so you have to still subtract that last five minutes.  

So, 2:00 pm minus 5 minutes would equal 1:55 pm.

Answer:

2 1/3 cupcakes

Step-by-step explanation:

A cupcake can make 3 four cups of flour

In 8 fourteen cups of flour, require (14 X 4)/(3 X 8) of cupcakes

  = 56/24 = 2 1/3 cupcakes

Answer:

  70, 140, 280, 350

Step-by-step explanation:

Obviously, it must have the factors 2, 5, 7 as a minimum, so the smallest value is 2×5×7 = 70.

Any of these primes can be added to the product. In increasing order, the smallest additional factors will be 2, 4, 5, 7, 8, 10, ...

So, the four smallest numbers with prime factors of 2, 5, and 7 are ...

  70 = 2·5·7

  140 = 2²·5·7

  280 = 2³·5·7

  350 = 2·5²·7

Answer:

x = 3

Step-by-step explanation:

Given

5 - (4 - 3x) = 10 ← distribute the terms in the parenthesis by - 1

5 - 4 + 3x = 10, that is

1 + 3x = 10 ( subtract 1 from both sides )

3x = 9 ( divide both sides by 3 )

x = 3

Answer:

47°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles

124° is an exterior angle , thus

77 + ? = 124 ( subtract 77 from both sides )

? = 47°

Answer:

-20

Step-by-step explanation:

First thing you do is set up your equation:

y-17= -37

+17   +17        Next you add 17 to both sides

-------------        Follow your integer rules

y= -20

We can check this by putting it back into the solution

-20-17= -37  Integer Rules

                     You use KCC aka Keep Change Change

= -20+ -17= -37

Answer:5

Step-by-step explanation:

Answer:

174

Step-by-step explanation:

Given

132, 145, 97, 112, 128, 82

Required

Estimate amount of students in an art class

This is calculated by obtaining the mean of the given data

[tex]Mean = \frac{\sum x}{n}[/tex]

Where n is the number of observations

So;  n = 6

[tex]Mean = \frac{132+ 145+ 97+ 112+ 128+ 82}{6}[/tex]

[tex]Mean = \frac{696}{6}[/tex]

[tex]Mean = 174.0[/tex]

Hence, the estimated number of students is 174

Answer: 5(2+3n)

Step-by-step explanation:

Answer:

15n + 10 should be your answer.

Step-by-step explanation:

Answer:

Era

Step-by-step explanation:

Century, Decade and Millennium have something in common and that which they have in common is that they are all measurement of time.

The keyword measurement implies that they are units of time just like seconds, minutes, hours, etc.

Century -> 100 years

Decade -> 10 years

Millennium -> 1000 years

However, era is used to describe events in history;

Take for instance; the era of the first generation of computer;

So, from the list of given options; Era best answers the question

An era describes a time period marked by a change that begins a new period.

An era :

Examples of eras include:

All the eras mentioned above were distinct in how people behaved so in conclusion we can say that an era is a time period that begins a new period of development.

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Answer:

m∠FEG == 54°

Step-by-step explanation:

you should know that m∠FEG is equal m∠EGH. this is because sides HE and FG are equal this also means opposite angles of this sides (m∠FEG and m∠EGH) are equal.

first find the measure of m∠EGH from triangle EHG.

m∠H + m∠HEG + m∠EGH= 180°

62° + 64° + m∠EGH = 180°

m∠EGH=180° - 126°

m∠EGH=54°

due to the fact that sides HE and FG are equal thus opposite angles of sides HE and FG are also equal.

m∠FEG = m∠EGH = 54°

m∠FEG =54°

2x+10=14

x=2

Area: 14.4= 56

3x+16=25

3x=9

x=3

17x-1,7=37,4

17x=39,1

x=2,3

Answer: Independent quantity : number of jelly beans in the jar guessed.

Dependent quantity : number of the jelly beans each person was off by.

Step-by-step explanation:

In the given scenario, there are two quantities introduced:

Since, "number of the jelly beans each person was off by." depends on "number of jelly beans in the jar guessed.".

So,

Independent quantity : number of jelly beans in the jar guessed.

Dependent quantity : number of the jelly beans each person was off by.

Answer:

Step-by-step explanation:

Given one side and diagonal of rectangle we can use Pythagorean theorem to calculate the other side of it.

[tex]L=40\, cm\\D=41\,cm\\W=\ ?\\\\W^2+L^2=D^2\\\\W^2+40^2=41^2\\\\W^2+1600=1681\\\\W^2=81\\\\W=9[/tex]

Perimeter:

P = 2W + 2L = 2•40 + 2•9 = 80 + 18 = 98

This Question is incomplete

Complete Question:

The data represents the number of runs allowed by 8 college softball pitchers. {18, 49, 38, 41, 33, 44, 42, 22}

What is the five number summary:

a) Minimum

b) Q₁

c) Median

d) Q₃

e) Maximum

Answer:

a) Minimum = 18

b) Q₁ = 27.5

c) Median = 39.5

d) Q₃ = 43

e) Maximum = 49

Step-by-step explanation:

From the above diagram, we were given the following set of data.

{18, 49, 38, 41, 33, 44, 42, 22}

Before answering any of the questions, we have to rearrange the data from the lowest to the highest (ascending order). Hence, we have:

{18, 22, 33, 38, 41, 42, 44, 49}

a) Minimum

{18, 22, 33, 38, 41, 42, 44, 49}

Looking at this set of arranged data, the minimum number is the least or lowest number.

This number is 18

b) Q₁

{18, 22, 33, 38, 41, 42, 44, 49}

Q₁ means First Quartile. The formula is = ¼(n + 1)th value

n = Number of terms in the data set = 8

= ¼(8 + 1)th value

= ¼(9)th value

= 2 1/4 value

= 2.25 value

In the above Question, the 2.25 value is the value between the second and third number.

Hence:

22+33/2 = 55/2 = 27.5

Therefore, Q₁ = 27.5

c) Median

{18, 22, 33, 38, 41, 42, 44, 49}

The median of the number is the number in the middle

For this data, we have 8 number, Hence the median is the sum of the 4th and 5th term divided by 2

4th term = 38

5th term = 41

= 38 + 41/ 2 = 79/2

= 39.5

Hence, the median = 39.5

d) Q₃

{18, 22, 33, 38, 41, 42, 44, 49}

Q₃ means Third Quartile. The formula is = ¾(n + 1)th value

n = Number of terms in the data set = 8

= ¾(8 + 1)th value

= ¾(9)th value

= 6 3/4 value

= 6.75 value

In the above Question, the 6.75 value is the value between the sixth and seventh number.

Hence:

42+44/2 = 86/2 = 43

Therefore, Q₃ = 43

e) Maximum

{18, 22, 33, 38, 41, 42, 44, 49}

Looking at this set of arranged data, the Maximum number is the highest number.

This number is 49