The sum of two numbers is 26. Their difference is 8. What are the two numbers?

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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This calls for applying rates:

18 minutes = 36 rows

1 minute = 36/18 = 2 rows

25 minutes = 2 x 25 = 50 rows

The answer is 50 rows in 25 minutes. I hope this helps!

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

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

Answer:

x= 12/5

Step-by-step explanation:

Distribute the fraction and solve for x.

u raised to the 10th power, then the result doubled gives  2u¹⁰

An algebraic expression is an expression that is made up of variables and constants, along with algebraic operations like addition, subtraction, multiplication, exponent, etc.

Given: raise u to the 10th power, then double the result

Step 1: Raising u to the 10th power implies: u¹⁰

Step 2: Doubling the result means multiplying what you obtained in step 1 by 2, that is, 2 × u¹⁰ = 2u¹⁰

Therefore, raising u to the 10th power and then doubling the result gives 2u¹⁰

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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 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:

this should help

Step-by-step explanation:

it is step by step on screenshots I have above

β=-α is the solution for alpha beta square +alpha square beta quadratic equation​

A quadratic equation is a second-order polynomial equation in a single variable x , ax2+bx+c=0. with a ≠ 0 .

alpha beta square +alpha square beta quadratic equation​

αβ²+βα²

αβ(β+α)

αβ=0

and

β+α=0

β=-α

Hence β=-α is the solution for alpha beta square +alpha square beta quadratic equation​

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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:

(x-5),(y+2)

Step-by-step explanation:

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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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

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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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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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 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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Answer:

b=4

Step-by-step explanation:

b-14 =-10

b-14+14=-10+14

b=4

Answer:

0.4294

Step-by-step explanation:

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

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

Answer:

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

Step by step explanation:

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:

Step-by-step explanation:

y= 53/3 prob wrong but idek

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

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".

Answer:

16x+4

Step-by-step explanation:

Perimeter= side+side+side+side or 4(side)

Plug in side length

Perimeter= 4(4x+1)

Perimeter=16x+4

It can't be further simplified

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:

(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)