liu earned $316 on an investment of $869. How much would $1298 have earned in the same investment?

The value of a when the value of 5-a is 20 greater than the vaule of 6a-1 is -2.

Inequalities are created through the connection of two expressions. It should be noted that the expressions in an inequality aren't always equal. Inequalities implies that the expressions are not equal. They are denoted by the symbols ≥ < > ≤.

Since the value of 5-a is 20 greater than the vaule of 6a-1. This will be:

5 - a > 6a - 1 + 20

Collect like terms

-a - 6a > - 1 + 20 - 5

-7a > 14

Divide

a > 14 / -7

a > -2

Therefore, a is greater than -2.

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Answer:

There are 105 boxes in all. If the truck is carrying a total of 3, 875 pounds in boxes, how many of each type of box is it carrying?

50 large boxes

55 small boxes

Answer:9/20

Step-by-step explanation:

11/5-2/5=9/5

-3/4*3= 9/4

9*-9=-81

5*4=20

-81/20 /-9

9/20

The solution to the equation as written is y = -96/161.

The term linear equation has to do with an equation in which the highest power of the variable is 1. In this case, we have been given a word problem and we would have to convert it to equation.

The equation is now to be written as;

5y + 7/3y = 5/8y - 4

Collect like terms and apply BODMAS;

5y + 7/3y  - 5/8y = -4

22y/3 - 5/8y = -4

161y/24  = -4

24(-4) = 161y

y = 24(-4)/161

y = -96/161

Having solved the equation, the solution that is obtained for the linear system is y = -96/161

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The answer is tom will give 440 cards to Bala, using arithmetic operation.

What is the arithmetic operation?

The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or more quantities. Included in them is the study of numbers, especially the order of operations, which is important for all other areas of mathematics, including algebra, data management, and geometry. The rules of arithmetic operations are required in order to answer the problem.

The total number of cards is 780+240 = 1020.

If in the end Bala will have twice as many cards as Tom then I would divide the 1020 by 3 which equals 340.

So Bala will have 2*340 = 680 cards

Tom will have 340 cards.

Now Bala will need (680-240) = 440 more cards.

Hence Tom will give 440 cards to Bala.

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Answer:

(x-5),(y+2)

Step-by-step explanation:

1) The linear system has only one solution.

2) The linear system has infinite number of solutions.

3) The linear system has only one solution

4) The linear system has only one solution.

5) The linear system has only no solution.

In the algebraic form y= mx+ b, where m denotes the slope and b the y-intercept, a linear equation is defined as a first-order (linear) term and a constant. The aforementioned is occasionally described as a linear equation with two variables, where x and y are the variables.

An equation is linear if the graph of the equation is a straight line. This will happen once x has the highest power of 1, which is. The equation is linear if it can be represented as a straight line.

1) x+y+7=0

x-y+1=0

By solving these two equations we get,

x=-4

y=-3

(x, y)=(-4,-3)

Consequently, there is only one solution to the linear system.

2) 3x+y-2=0

6x+2y-4=0

a₁/a₂=3/6

a₁/a₂=1/2

b₁/b₂=1/2

c₁/c₂=1/2

Therefore,

a₁/a₂=b₁/b₂=c₁/c₂

So, the linear system has infinite number of solutions.

3) x-y-5=0

x+5y+7=0

By solving these two equations we get,

y=-2 and x=3

(x, y)=(3, -2)

Consequently, there is only one solution to the linear system.

4) x+y-4=0

2x-3y-3=0

By solving these two equations we get,

x=3 and y=1

(x, y)=(3,1)

Consequently, there is only one solution to the linear system.

5) 5x-y-5=0

5x-y-15=0

a₁/a₂=1

b₁/b₂=1

c₁/c₂=1/3

∴ a₁/a₂=b₁/b₂≠c₁/c₂

Therefore, the linear system has no solution.

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Answer:

(2a + 3b)(2a - b)

Step-by-step explanation:

4a² + 4ab - 3b²

consider the factors of the product of the coefficient of a² and b² which sum to give the coefficient of the ab- term.

product = 4 × - 3 = - 12 and sum = 4

the factors are + 6 and - 2

use these factors to split the ab- term

= 4a² + 6ab - 2ab - 3b² ( factor the first/second and third/fourth terms )

= 2a(2a + 3b) - b(2a + 3b) ← factor out (2a + 3b) from each term

= (2a + 3b)(2a - b)

The rate of change of function 2 is greater than the rate of change (slope) of function 1 by: B. 2.

Since the line on this graph is perpendicular to the y-axis (horizontal line), we can reasonably and logically deduce that its rate of change (slope) is equal to zero (0) because there is no change in the y-value on the y-axis.

This ultimately implies that, the rate of change (slope) of function 1 (y = 6) with an horizontal line is equal to zero (0).

Next, we would calculate the rate of change (slope) of function 2 i.e y = 2x + 7. Mathematically, the standard form of the equation of a straight line function is given by;

y = mx + c

Where:

By comparing the two (2) equations, we have the following:

y = mx + c  ≡ y = 2x + 7

Therefore, the rate of change (slope) of function 2 is equal to 2.

Now, we can calculate the difference between the rate of change (slope) of function 2 and the rate of change (slope) of function 1 as follows:

Difference = 2 - 0

Difference = 2.

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By solving the equation a\b − c +d, we get the answer -2.55

Given,

In the question:

The equation is given as:

a\b − c + d

The values are  given as:

a=7\8 , b=−7\16 , c=0.8 , and d=1\4

Now, According to the question:

Substitute the values  a=7\8 , b=−7\16 , c=0.8 , and d=1\4 into a\b − c + d.

Now,

[tex]\frac{7}{8}[/tex] × [tex]\frac{16}{-7}[/tex] - 0.8 + 1/4

Cross out the common factor:

= -2 - 0.8 + 1/4

Taking L.C.M

= [tex]\frac{-8-3.2+1}{4}[/tex]

Calculate the sum or difference:

= -10.2/4

= - 2.55

Hence, By solving the equation a\b − c +d, we get the answer -2.55

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

Explanation:

Both points have the same x coordinate, which immediately tells us both points are on the same vertical line.

All vertical lines have an undefined slope. This is because when it comes to rise/run, the "run" is zero.  Dividing by zero is not allowed.

Check out the steps below.

[tex](x_1,y_1) = (-10,9) \text{ and } (x_2,y_2) = (-10,18)\\\\m = \text{slope} = \frac{\text{rise}}{\text{run}} = \frac{\text{change in y}}{\text{change in x}}\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{18 - 9}{-10 - (-10)}\\\\m = \frac{18 - 9}{-10 + 10}\\\\m = \frac{9}{0}\\\\m = \text{UND}\\\\[/tex]

The "UND" is shorthand for "undefined". Some textbooks may use the notation "NaN" to refer to "not a number".

If annual fundraising goal of a is​ $100,000 and so far ​$46,088 has been raised, then they have to raise $53912 to reach the goal

The goal of the annual fund raising = $100000

The raised amount = $46088

The amount of money needed to reach the goal = The goal of the annual fund raising - The raised amount

Here we have to use the subtraction

Substitute the values in the equation

The amount of money needed to reach the goal  = 100000 - 46088

= $53912

Hence, if annual fundraising goal of a is​ $100,000 and so far ​$46,088 has been raised, then they have to raise $53912 to reach the goal

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Answer:

The number of words with two vowels and 3 consonants from the letters of the word ‘HONESTY’ is 1200.

Step by step explanation:

Answer:

x = 1

y = 7

Step-by-step explanation:

y = -x + 8

-y= -2x - 5 (Switch the signs of y = 2x + 5)

0= - 3x + 3 (Subtract both equations)

3x = 3 (Add 3x on both sides)

x = 1 (Divide by 3 on both sides)

y = -1 + 8 (Plug x as 1 in the equation y = -x + 8)

y = 7 (Simplify)

Leading to the answer

x = 1

y = 7

The percent increase in the median monthly rent prices from 2005 to 2010, using proportions, was of:

16.7%.

A proportion represents a fraction relative to a total amount, and this fraction is combined with the basic arithmetic operations, especially multiplication and division, to find the desired amounts in the context of a problem.

One application of proportions is to obtain the percent increase in the context of a problem, as it is calculated as the division of the increase by the total amount and multiplied by 100%.

The parameters to obtain the percent increase in the context of this problem are given as follows:

Hence the percent increase in the median monthly rent prices from 2005 to 2010 is calculated as follows:

P = 116/694 x 100% = 16.7%.

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The cost of each CD is $21 and the cost of each cassette tape is $11.

According to the question,

We have the following information:

Todd purchased two CDs and three cassette tapes for $75. Paulena went to the same music store and purchased one CD and five cassette tapes for $76.

Now, let's take the cost of each CD to be $x and the cost of each cassette tape to be $y.

So, we have the following expressions:

2x+3y = 75 ..(1)

x+5y = 76

x = 76-5y ..(2)

Putting the value of x in equation 1:

2(76-5y)+3y = 75

152-10y+3y = 75

152-7y = 75

Subtracting 152 from both sides:

-7y = 75-152

-7y = -77

y = 77/7

y = $11

Putting this value in equation 2:

x = 76-5y

x = 76-5*11

x = 76-55

x = $21

Hence, the cost of each CD is $21 and the cost of each cassette tape is $11.

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Answer:

x= 12/5

Step-by-step explanation:

Distribute the fraction and solve for x.

Answer:

b=4

Step-by-step explanation:

b-14 =-10

b-14+14=-10+14

b=4

Answer:

1800

Step-by-step explanation:

c = 2a;

b = 2d;

c + 2d = a + 2b

2a + b = a + 2b

a = b

a = b

c = 2a

d = b/2

Assume a = 100.

b = 100

c = 200

d = 50

This cannot be, but we can continue.

Add them: 100 + 100 + 200 + 50 = 450

The total must be an even multiple of 450.

The total can be 900, 1800, 2700, etc.

Answer: 1800

Answer:

Jake sold the bicycle for $13.00

Step-by-step explanation:

All you have to do is know the equation would be 20% of $65.00.

That equals 65x0.20.

If you solve it, the answer is $13.00

Jake sold the bicycle for $13.00

Hope this helps!

Answer:

its 13 dollars

Step-by-step explanation:

when you have to find a precent of something you multiply the number by the percentage and divide the answer by 100

The value of k from the given equation as in the task content is; 93.24.

It follows from the task content that the value of k for which the given equation is true is to be determined.

On this note, since the given equation is;

k / 12.6 = 7.4

Therefore, to isolate k, both sides of the equation must be multiplied by; 12.6 as follows;

k = 7.4 × 12.6

Ultimately, the value of k for which the given equation is true is; 93.24.

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Answer:

Step-by-step explanation:

y= 53/3 prob wrong but idek

Answer:

It's wrong because you don't add fractions the way you would add normal numbers.

Step-by-step explanation:

To add 1/5 to 1/2 you would need to write all numerators above the least common denominator which is 10. Then add the numerators, 5 + 2, which gives you 7/10.

Step-by-step explanation:

when we give a function an actual value as argument, we are using the variable(s) in the functional definition as intended : as placeholders for actual values.

so, we only need to replace any occurrence of the variable by the actual value and calculate.

a.

zero items are produced means x = 0.

C(0) = 10×0 + 900 = $900

fixed cost = $900

b.

making 25 items means x = 25.

C(25) = 10×25 + 900 = 250 + 900 = $1,150

c.

the domain is the interval or set of all valid values for x.

the range is the interval or set of all valid values for y (the functional result).

now, the maximum cost allowed is $1900.

how many items are that ?

1900 = 10x + 900

1000 = 10x

x = 100

so, the domain is

0 <= x <= 100

the range is

$900 <= y <= $1900

The inequality y > x+1 graphed is false.

Given,

In the question:

When the inequality y > x +1 is graphed,

The shade is below the line and the line is dashed.

Check the above information is true or false.

Now, According to the question:

The inequality is given as:

y > x +1

The graph is:

∴The shade is below the line and the line is dashed

The answer is false.

Hence, The inequality y > x+1 graphed is false.

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Answer:

Greater than

Step-by-step explanation:

3/8 = 6/16

6<11

therefore, 11/16 is greater than 3/8

The equivalent two-term expression of 2x - 3 is 2(x - 1) - 1

Two expressions are equivalent if they can be simplified to the same third expression or if one of the expressions can be written like the other. In addition, you can also determine if two expressions are equivalent when values are substituted in for the variable and both arrive at the same answer.

2x - 3 can be written by expressing -3 as a sum of two numbers in which one of the numbers is -2, those two numbers are -1 and -2

so that,

2x -2 -1

now we can factorize 2x -2, which is 2(x - 1)

Finally the expression becomes 2( x - 1) -1

To check that it is equivalent we substitute any number in to 2( x -1 ) -1 and 2x - 3, if it gives same answer, then they are equivalent.

using x = 1

2( 1 - 1) -1 = -1

2(1) -3 = -1

In conclusion, 2(x-1) -1 is the equivalent expression

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The correct number line that shows the solution to the compound inequality is given by:

Number Line A.

A compound inequality is an inequality that is composed by multiple conditions.

Then these conditions are related with one of two operations, listed as follows:

In this problem, the compound inequality is given as follows:

3x - 5 > 1 or -2x ≤ -10.

The solutions to the first condition are given as follows:

3x > 6

x > 2.

The solutions to the second condition are given as follows:

2x ≥ 10

x ≥ 5.

The interval of values that is the union of these solutions is given by:

x > 2.

Hence number line A is the solution to the inequality.

The complete problem is given by the image shown at the end of the answer.

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Answer:

0.4294

Step-by-step explanation: