Mr tan had 2 kg of sugar. He used 1/4 kg of sugar to make dessert and 3/5 kg of sugar to bake some cakes. What was the total mass of sugar used? How much sugar did he have left?

In linear equation , 2,932.25 * ( 1.0316)¹²t = (1)t is value of t .

What are a definition and an example of a linear equation?

275000 = 3001 - ( 1 + 0.38/12)⁻¹²t/0.038/12

275000 = 3001 - ( 1 + 0.38/12)⁻¹²t/0.0025

275000 * 0.0025 = 3001 - ( 1 + 0.38/12)⁻¹²t

 68.75 = 3001 - ( 1 + 0.38/12)⁻¹²t

3001 - 68.75 =  ( 1 + 0.38/12)⁻¹²t

2,932.25 = ( 1 + 0.0316)⁻¹²t

2,932.25 = ( 1.0316)⁻¹²t

2,932.25 = 1/ ( 1.0316)¹²t

2,932.25 * ( 1.0316)¹²t = (1)t

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Answer:

26 total questions

Step-by-step explanation:

6 * 2 = 12

7 * 2 = 14

14 + 12 = 26

The value of the expression |-10+6|-|3²-5| = 0

The expression given is |-10+6|-|3²-5|.

This contains absolute value which needs to be evaluated.

We will go through the definition of absolute value.

Absolute value for x = x, when x is a positive integer.

i.e., |x| = x, when x >0

Absolute value of (-x) = x, when -x is a negative integer.

So absolute value always gives the positive value of the number inside it.

Now |-10+6|-|3²-5| = |-4| - |9-5|

                              = 4 - |4|    [Since |-4| = 4]

                              = 4 - 4      [Since |4| = 4]

                              = 0.

So the value of the expression |-10+6|-|3²-5| = 0

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The answers to all the subparts are:

So, the reason for rational or irrational numbers:

(A) 0.21

It is a rational number as it can be represented in fractions.

(B) 3/12

It is a rational number as it is in fractions.

(C) 4.125

It is a rational number as it can be represented in fractions.

(D) 8⅒

It is a rational number as it can be represented in fractions.

(E) π/3.14/(22/7)

It is a rational number as it can be represented in fractions.

Therefore, the answers to all the subparts are:

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In the year 2006, the number of free throws is 100, number of 2 point field goals 128 and the number of 3 point field goals 90.

Let x = number of free throws

y = number of 2 point field goals

z =  number of 3 point field goals

However given that Rebecca has a total of 806 points,

Thus x + 2y + 3z = 806 ---------- equation 1

Number of 2 point field goals that Rebecca made was 52 less than double the number of​ three-point field goals she made ;

thus y = 2z - 52 ---------------- equation 2

Number of 3 point field goals that Rebecca made was 28 less than the number of​ two-point field goals she made ;

thus x = y - 28 ------------------ equation 3

Thus on solving these three above mentioned equations :

we get x = 2z - 52 -28 [ substituting values in eq 3 from eq 2]

x = 2z - 80 ------------- equation 5

So equation 1 becomes ; 2z - 80 + 2y + 3z = 806

5z + 2y = 886 -------------- equation 4

Thus on solving equation 4 and 2 we get

2 X equation 2 = 4z - 2y = 104

                            5z + 2y = 886

                      = 11 z = 990

thus z = 90 and so y = 4 × 90 - 104 = 2y

y= 360 - 104 / 2

= 256/2 = 128

thus y = 128 .

And x= 2z -80 from equation 5 ; x = 180 - 80 = 100 .

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5000kg------->5%

x------------------>100%

Using Cross-multiplication:

5000/x=5/100

Solving for x:

x=(100*5000)/5 =100000kg

You can verify the answer:

100000kg *5% =100000*0.05= 5000kg

Aryon is left with $9.25 of money after he has paid for his lunch.

According to the question,

We have the following details:

Total amount Aryon has = $20

The cost of 1 coke = $1.50

So, the cost of 2 cokes = $(2*1.50)

The cost of 2 cokes = $3

The cost of a sandwich = $5.50

The cost of a bag of chips = $2.25

So, the total cost of all the materials = the cost of 2 cokes + the cost of a sandwich + the cost of a bag of chips

The total cost of all materials = $(3+5.50+2.25)

The total cost of all materials = $10.75

Now, the money Aryon has = Total money he has - the total cost of all materials

The money Aryon is left with = $(20-10.75)

The money Aryon is left with = $9.25

Hence, the money Aryon is left with is $9.25.

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To find the percent of happy people, we just have to divide the number of happy participants by the total number of them.

Then, we multiply it by 10 to express it as a percentage.

Answer:dsa

Step-by-step explanation:

sadfdfsaf

The number of gigabytes that Mayerlin can use while staying within her budget is 5.

The first step is to determine the appropriate inequality sign to use. Here are the inequality signs:

> means greater than

< means less than

≥ means greater than or equal to

≤ less than or equal to

The sign that would be used is <

The form of the inequality is:

flat cost + (cost per gigabyte x number of gigabytes) < total budget

$55 + $5x < $70

5x < $70 - $55

5x < 25

x < 25 / 5

x = 5

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Answer:

x = [tex]\frac{d - f}{f}[/tex]

Step-by-step explanation:

d = f + fx

Subtract f from both sides

d - f = fx

Divide both sides by f

[tex]\frac{d - f}{f}[/tex] = x

Answer:

Answer down below!

Step-by-step explanation:

Since we do have the value of the chairs, we can do 12 * 165 to get a total of 1,980

Now, with this, to find the price of the table, you do 2,400 - 1,980

That will give you your answer of 420.

The length of the each side of the square garden of Jessica is found as 10.77 ft.

For the given question,

Jessica is making a square garden in her backyard.

The compost bought is to cover the area of the 116 ft².

The formula for the area is given as;

A = s² , where s is the length of the side of the square.

Put the values.

116 = s²

Taking square root both side.

s = √116

s = 10.77

Thus, the length of the each side of the square garden of Jessica is found as 10.77 ft.

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Answer:the 2nd choice

Step-by-step explanation:

By solving the system of equations, we can see that the solutions are:

(A, B) = (4, 9)

(C, D) = (1, -6).

Here we have the following system of equations:

x^2 - y = 7

y - 5x = -11

If we isolate the variable y in both equations, we get:

y = x^2 - 7

y = -11 + 5x

Now we can equate these two to get:

x^2 - 7 = -11 + 5x

now we have a quadratic equation, this can be rewritten as:

x^2 - 7 + 11 - 5x = 0

x^2 - 5x + 4 = 0

Using the quadratic formula, we will see that the solutions are:

[tex]x = \frac{5 \pm \sqrt{(-5)^2 - 4*1*(4)} }{2*1}[/tex]

Solving that we get:

[tex]x = \frac{5 \pm \sqrt{(9} }{2} \\\\x = \frac{5 \pm 3}{2}[/tex]

So the two solutions for x are:

x = (5 + 3)/2 = 4

x = (5 - 3)/2 = 1

Evaluating the second equation in these x-values we get:

y = -11 + 5*4 = -11 + 20 = 9

y = -11 + 5*1 = -6

Then we have the coordinate pairs: (4, 9) (on the first quadrant) and (1, -6) on the fourth quadrant.

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Answer:

530 x

Step-by-step explanation:

Answer:

1) 4, 1.25, 2
2) 12, 5, 3

3) 2, 18, 5

4)5, 8, 12

Step-by-step explanation:

1) You had to either multiply/divide by 4

2)You had to either multiply/divide by 3

3)You had to either multiply/divide by 6

4)You had to either multiply/divide by 5

The solution to given inequality 12 > w + 3 is w < 9

In this question, we have been given an inequality 12 > w + 3

We need to solve the inequality for w.

Consider given inequality,

12 > w + 3                              ............(Given)

12 - 3 > w + 3 - 3                    ...........(Subtract 3 from each side)

9 > w

This means, w is less than 9.

Therefore, the solution to given inequality 12 > w + 3 is w < 9

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Maria's Age = 14 years old.

Carlos Age = 42 years old

Answer:

Carlos is 42, and Maria is 14.

Step-by-step explanation:

14 x 3 = 42,

14 + 42 = 56,

So, the answer is Carlos = 42, Maria = 14.

Hope this helps!

Btw, Brainliest please, thanks!

Answer:

x = 5

Step-by-step explanation:

By converting to slope-intercept form to graph and solving this equation we are get -x/2 +2

What is slope intercept ?

The slope indicates the steepness of a line and the intercept indicates to the  location where it intersects are in an axis. The slope and that the  intercept define to  the linear relationship between the two variables, and can be the used to the estimate an average rate of change.

The slope, m, represents the steepness of a line. The slope of the line is also the  termed as gradient, sometimes .and  the y-intercept, b, of a line, represents the  y-coordinate of the point to where the graph of the line intersects the y-axis.

Sol-

Re write 2x+4y=8 in slope intercept form we are get-

y= -x/2+2

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Answer:

786

Step-by-step explanation:

Answer:

Helena',s savings... h=78+6

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\text{G\textsf{uide:}}[/tex]

[tex]\bullet\large\textsf{ Greater than or equal to}\rightarrow\mathsf{\geq}\\\bullet\large\textsf{ Greater than}\rightarrow\mathsf{ > }\\\bullet\large\textsf{ Less than or equal to}\rightarrow\mathsf{\leq}\\\bullet\large\textsf{ Less than}\rightarrow\mathsf{ < }[/tex]

[tex]\star\large\textsf{ The word \boxed{\rm{difference}} means subtract/subtraction}\\\star\large\textsf{The word \boxed{\rm{product}} means multiply/multiplication}\\\star\textsf{The word \boxed{\rm{quotient}} means divide/division}\\\star\large\textsf{The word \boxed{\rm{sum}} means add/addition}[/tex]

[tex]\large\text{Now, let us answer your given question}[/tex]

[tex]\large\text{Your equal should possibly look like this:}\large\textsf{ 2 + b }\mathsf{\leq\ -}\large\textsf{16}[/tex]

[tex]\huge\text{Therefore, your answer should be: \boxed{\mathsf{2 + b \leq -16}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

The two rectangles that is R3 and R4 have the greatest difference in the area.

How to calculate the area of the rectangle?

In mathematics, the rectangle is a closed polygon shape which has four vertex as well as four sides. And the opposite side are parallel to each other. To calculate the area, multiply the length and breadth. Similarly, for the perimeter means add all the sides.

According to the question, the given data in the form of the area of the rectangle is as follows:

Area of Rectangle1 = 60.81 square centimeters

Area of Rectangle2 = 61.44 square centimeters

Area of Rectangle3 = 35.52 square centimeters

Area of Rectangle4 = 47.88 square centimeters

Now, to calculate the greatest difference in the area of the rectangles:

Difference(Rect2 - Rect1) = 61.44 - 60.81 = 0.63

Difference(Rect1 - Rect3) = 60.81 - 35.52 = 25.29

Difference(Rect1 - Rect4) = 60.81 - 47.88 = 12.93

Therefore, the two rectangles that is R3 and R4 have the greatest difference in the area.

And the differences are as follows:

Area(Rect1 - Rect3) = 60.81 - 35.52 = 25.29 square centimeters

Area(Rect1 - Rect4) = 60.81 - 47.88 = 12.93square centimeters

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Using the z-distribution, as we are working with a proportion, it is found that since the test statistic is less than the critical value for the right-tailed test, there is not enough evidence to conclude that there has been an increase in the proportion of all kochia plants that are resistant to glyphosate.

In null hypothesis, we test if there has been no increase, that is, the subtraction is of 0.

In this problem, we consider that:

p₁ is the proportion in 2014.

p₂  is the proportion is 2017.

H₀=p₂-p₁

By alternative hypothesis,

H₁=p₂-p₁≠0,

we test if there has been an increase

The proportions and standard errors are given by:

p₁=0.97, s₁=√0.97(0.803)/61=0.0509

p₂=0.385, s₁=√0.385(0.615)/52=0.0675

Hence, the distribution has mean and standard error given by:

p=p₂-p₁=0.0675-0.0509

s=√s₁²+s₂²=0.0845

Test static z=p bar-p/s

at p = 0 is the value tested at the null hypothesis,

z=0.0166/0.0845

z=0.2

By a right-tailed test,  we are testing is  the proportion is greater than a value, with a significance level of 0.05, the critical value is of

z=1.645

0.2<1.645 there is not enough evidence to conclude that there has been an increase in the proportion of all kochia plants that are resistant to glyphosate.

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Skydiver should wait 23.04 sec before pulling the cord, after freefall.

what is freefall?

Height of jump = 13500ft

Height from which cord will be pulled = 5000ft

Freefall, d=13500-5000 =8500ft

Distance traveled during freefall, d=16t²

substituting values, we get,

8500=16t²

t=23.04 sec

Skydiver should wait 23.04 sec before pulling the cord, after freefall.

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Chords and arcs

YM is the chord of the circle and it has a length of 12 in

The perpendicular VL bisects the chord in V.

To prove the above statement, please note that triangles VYL and VLM are similar because they have one side in common and the second side of the same length (the radius of the circle).

Let's work with any of those triangles, for example, VLY. It's a right triangle in V. The hypotenuse of the triangle is the radius, one leg is the given distance of 5 in and the other leg is half the length of the chord (6 in).

Thus, applying Pythagora's Theorem:

Thus, the radius is

r=7.8 in

Option b.