This is a statistics/applications question

The number will x=17 and y=-3 as the sum of two numbers is 14 and the difference between the numbers is 20.

The addition, subtraction, multiplication, division, exponentiation, and modulus operations are carried out by the arithmetic operators. One operand is added to the other in addition. On the provided operands, the operator is accustomed to performing mathematical operations like addition, subtraction, multiplication, division, modulus, etc. Examples of arithmetic operators include: 5 + 3 = 8, 5 - 3 = 2, 2 * 4 = 8, etc.

Here,

x+y=14

x-y=20

subtract equation,

2y=-6

y=-3

x+y=14

x-3=14

x=17

The result will be x=17 and y=-3 because the sum of the two numbers is 14 and their difference is 20.

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The coordinates of the point which divide the lines joining the pairs of points (5,8) and (-1,3) in the given ratio  2:3 is  (8,4).

Using the section formula, if a point (x,y) divides the line joining the points (x₁, y₁) and (x₂, y₂) in the ratio m:n, then

(x,y)=( (mx₂+nx₁)/m+n ,  (my₂+ny₁)/m+n )

Let the points be A(5,8) and B(-1, 3). Let a point P(x,y) divides AB in the ratio 2:3

Therefore, we have

P(x,y)=((2(-1) + 3x5)/(2+3) , (2(3) + 3x8)/(2+3))

P(x,y)=(2.6,6)

Hence,the coordinates of the point which divide the lines joining the pairs of points (5,8) and (-1,3) in the given ratio  2:3 is  (8,4).

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Answer:

the answer for x when h(x) is 2.9

60% of the fruit punch is orange juice.

In this question, we have been given 3/5 of a fruit punch is orange juice.

We need to find the percentage of the fruit punch is orange juice.

3/5 of a fruit punch is orange juice, means 3 of 5 fruit punch is orange juice.

Using the percentage formula,

3/5 * 100

= 0.6 * 100

= 60%

Therefore, 60% of the fruit punch is orange juice.

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For the given ratio of orange juice , the percentage of the orange juice from the given fruit juice is equal to 60%.

As given in the question,

Ratio of orange juice in the given fruit juice = 3/5

From the given ratio it indicates out of 5 fruits 3 are orange

Percentage of fruit punch is orange juice in the given juice is equal to

= ( 3 / 5 ) × 100

= ( 3 × 100 ) / 5

= 300 / 5

= 60%

60% of the fruit punch is orange juice.

Therefore,  for the given ratio of orange juice , the percentage of the orange juice from the given fruit juice is equal to 60%.

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Answer:

L = 6 feet ; W = 4 feet

Step-by-step explanation:

l = 2 + w

perimeter/2 = 8

l + w > 8

2 + w + w > 8

2 + 2w > 8

2w > 8-2

2w > 6

2/2 w > 6/2

w > 3

smallest integer > 3 = 4

W= 4

L = 4 + 2 = 6

THE percent error is, 5

hence,THE percent error is, 5

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Answer:

x³ - 8

Step-by-step explanation:

Answer: Rise is 5 and run is 1 and now that is equal 5

Step-by-step explanation:

The exact value of Cosθ is -1/√10 .

In the question ,

it is given that ,

the value of tanθ = 3/1 ,

that means the perpendicular = 3x

and the base of the triangle is = 1x,

So ,By Pythagoras Theorem

hypotnuse² = perpendicular² + base²

hypotnuse² = (3x)² + (1x)²

hypotnuse² = 9x² + 1x²

hypotnuse² = 10x²

hypotnuse = (√10)x

So , Cosθ = base / hypotnuse

Cosθ = 1x/(√10)x

Cosθ = 1/√10

Since , [tex]\theta[/tex] lies in the second quadrant ,

and in second quadrant Cos is negative ,

So , Cosθ = -1/√10

Therefore , The exact value of Cosθ is  -1/√10  .

The given question is incomplete , the complete question is

If Tanθ = 3 , θ lies in the second quadrant. Use a Pythagorean identity to find the exact value of Cosθ ?

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The value of the exponent given as 24 - (5 + 3)^2 + 4 × 2^3 is -8.

An exponent is the number of times that a number is multiplied by itself. It should be noted that the power is an expression which shows the multiplication for the same number. For example, in 6⁴ , 4 is the exponent and 6⁴ is called 6 raise to the power of 4.

In this case, the value given will be expressed thus:

= 24 - (5 + 3)^2 + 4 × 2^3

= 24 - (8)² + 4 × 8

= 24 - 64 + 32

= -8

The value is -8.

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Answer in multiple forms depending on what needed

Answer:

c = 3

Step-by-step explanation:

48- (3c+4)=4(c+5)+3

48-3c-4=4(c+5)+3 Distributed the - sign

48 -3c -4= 4c+20 +3 Distributed the 4

44-3c =4c+23 Combined like terms

21-3c=4c Subtract 23 from both sides

21=7c Add 3c to both sides

3=c

Answer:  The correct answer is x = 50

Step-by-step explanation:

The sum of angles in a triangle = 180 degrees

This is a right-angled triangle, so one of the angles is 90 degrees + x +y

Therefore: 90 + y + x = 180

Substitute the variables:

90 + 40 + x = 180

130 + x =180

Subtract 130 from each side:

(-130) 130 + x =180 (-130)

x = 50

Answer:

2/3

Step-by-step explanation:

The gradient is found by doing rise/run. If you go to a point on the line you can then rise 2 squares and run 3 to the right. This means that the gradient is 2/3. It is not negative as the line is going up.

The average monthly increase in net worth for the 6-month period is $1832.16.

Given:

A business started the year with a net worth of $4,873. During the first six months of the year, the business recovered and increased its net worth to a value of $15,866.

Six months net worth = 15,866 - 4873

= 10,993

Average monthly increase in net worth =  six month net worth / 6

= 10,993/6

= $1832.16.

Therefore The average monthly increase in net worth for the 6-month period is $1832.16.

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Answer:

y=8 x=-19.5

Step-by-step explanation:

Start from the bottom equation and work your way upSolve the fourth equation for w-5w=-15-5w/(-5)=-15/(-5)w = 3 Then use that value of w to plug into the third equation. Notice we're going backwards or up the chain of equations. After w is replaced, solve for zz+w = 2z+3 = 2z+3-3 = 2-3z = -1 Now use z = -1 and w = 3 to plug into the second equation. Solve for y-2y-12z-4w = -16-2y-12(-1)-4(3) = -16-2y+12-12 = -16-2y = -16-2y/(-2) = -16/(-2)y = 8 

Use y = 8, z = -1, w = 3 to plug into the first equation. Solve for x:

2x+4y+z+3w=12x+4(8)+(-1)+3(3)=12x+32-1+9=12x+40=12x+40-40=1-402x=-392x/2=-39/2x = -39/2 The value of x as a fraction is x = -39/2The value of x in decimal form is x = -19.5 

Answer:Answer: SAS

Step-by-step explanation:

Answer:

40-20= 20

Step-by-step explanation:

8(5)- 4(5)= 4(5)

40-20=20

Answer:

5^4

Step-by-step explanation:

5^3x5

5x5x5x5

5^4

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The simplified form of the expression, 5³.5 will be 625.

In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.

It is given that the expression is, 5³.5

=5³.5

The base should remain constant and the exponents added when multiplying like bases. Keep the base constant when raising a base with power to another power, and multiply the exponents instead. Keep the base constant and deduct the exponents in the denominator and numerator when dividing like bases.

Apply the law of exponent as

xᵃ × xᵇ = xᵃ⁺ᵇ

=5³⁺¹

=5⁴

=5x5x5x5

=625

Thus, the simplified form of the expression, 5³.5 will be 625.

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Answer:

21%

Step-by-step explanation:

126 out of 600=126/600

=0.21 *100 for

21%

Answer:

-5/4

Step-by-step explanation:

slope

[tex]\frac{y2-y1}{x2-x1}\\\\ \frac{2-(-3)}{-4-0}=\frac{5}{-4}\\ \\slope = \frac{-5}{4}[/tex]

Answer:

A,C,D

Step-by-step explanation:

Probability of drawing a card below a 6 (count an ace as high) is 4/13

Total number of outcome : n(S) = 52

(a) In a deck number of card below a 6 (counting ace as high) is {5 , 4 , 3, 2}

so , n(E) = 4 × 4 = 16

The probability of drawing a card below a 6 (count an ace as high) = P(E)

[tex]P(E) =\frac{n(E)}{n(s)}[/tex] =16/52

P(E) = 4/13

(b) Probability of drawing a card below a 6 (count an ace as high) is 4/13

Hence , the odds of drawing a card below a 6 (count an ace as high). is 0.308

(c) we should expect to draw a card below a 6 about four times out of every 13 attempts .Also, we should expect to draw a card below or 6 four times for every nine times we draw a 6 or above is the law of large number to interpret both the probability and odds of drawing a card below 6

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There are 855 cockroaches crawling on the front of the building

An equation is an expression showing the relationship between two or more numbers and variables.

The population density is given as:

Population density = total animals / area occupied

Given that, the population density of the cockroaches is 5 cockroaches per square meter.

The area of the building = area of triangle + area of square

Area of building = (1/2) * (24 - 9)(12) + (9 * 9) = 90 + 81 = 171 m²

Population density = total animals / area occupied

5 cockroaches per square meter = Total cockroaches / 171 m²

Total cockroaches = 855

There are 855 cockroaches

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By taking some simple quotients, we will see that the cost per student is:

$26.36

First, we know that the school spends $643.34 on passes for 38 people, then the cost of each pass is given by the quotient:

p = $643.34/38 = $16.93

Then there is also lunch for the 36 students, which costed $339.48, then the cost in lunch per student is.

l = $339.48/36 = $9.43

The total cost per student is:

$16.93 + $9.43 = $26.36

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84.78 mm² is area of circle .

What is a circle ?

radius of the circle = 27 mm

area of the circle = πr²

                          =  3.14 * 27

                         =  84.78 mm²

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The required change in height of the missile is 16100 feet.

Given that,
A missile was fired from a submarine from 200 feet below sea level. If the missile reached a height of 15900 feet before exploding, the change in the altitude of the missile is to be determined.

Change in defined as when the object is in one state but after a certain period of time, the state of the object changes is called change of the state.

here,
The height attained by the missile above sea level is 15900 feet.
The height attained by the missile below the seal level is 200 feet.
Change in height = 15900- (-200) = 15900 + 200 = 16100.

Thus, the required a change in height of the missile is 16100 feet.

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0.8 and 0.80 are equivalent representations of the same value, with the latter including a trailing zero for precision or clarity.

In mathematics, the decimal representation of numbers allows for the use of trailing zeros after the decimal point. When a decimal number has trailing zeros, such as in the case of 0.8 and 0.80, they are considered equivalent because they represent the same value.

The trailing zeros after the decimal point do not change the numerical value of the number. The number 0.8 represents eight tenths, and adding a trailing zero to make it 0.80 does not change its value; it still represents eight tenths. The zero after the decimal point in 0.80 is simply a placeholder, indicating that there are no hundredths or smaller fractional parts.

It is common to use trailing zeros in decimal representations to indicate the precision or accuracy of a measurement. For example, if a measurement is known to be accurate to two decimal places, it is common to represent it as 0.80 rather than 0.8 to indicate the level of precision.

Therefore, mathematically speaking, 0.8 and 0.80 are equivalent representations of the same value, with the latter including a trailing zero for precision or clarity.

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The simple interest that Oliver needs to pay is $ 90

Simple interest is nothing but interest on a loan at a rate. The formula for Simple interest is given below

Simple interest, I = ptr

where p = principal amount

t = time period in years

r = rate of interest in decimals

Here we have

Oliver borrowed $1,500 to purchase a riding lawn mower  

The rate of interest r = 12%

=> 12/100 = 0.12 (in decimals )

The time period given = 6 months = 0.5 years   [ 6/12 = 0.5 ]  

From the above formula,

The simple interest, I = ptr

=> I = $1,500(0.12) (0.5) = $ 90

Therefore,

The simple interest that Oliver needs to pay is $ 90  

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These are equivalent. I hope this helps a ton. I had this question on a test. Tell me if its wrong or not. <: