If RV=w and SU=w–30, what is the value of w?

Answer:

Step-by-step explanation:

Basic propotionality theorem: If a line is drawn paralle to one side of a triangle and intersect other two sides in distinct points, then the line segment divide the two linesin same ratio.

[tex]\sf \dfrac{LP}{PN}=\dfrac{LO}{OM}\\\\\dfrac{x+12}{5}=\dfrac{22}{8}\\\\\text{cross multiply,}\\\\[/tex]

8*(x + 12) = 22*5

8x + 8*12 = 110

 8x + 96 = 110

        8x = 110 - 96

        8x = 14

          x = 14/8

          x = 1.75

Let's see

[tex]\\ \rm\rightarrowtail x^2+12x+36=0[/tex]

[tex]\\ \rm\rightarrowtail x^2+6x+6x+36=0[/tex]

[tex]\\ \rm\rightarrowtail x(x+6)+6(x+6)=0[/tex]

[tex]\\ \rm\rightarrowtail (x+6)(x+6)=0[/tex]

[tex]\\ \rm\rightarrowtail x=-6[/tex]

Answer:

-2

Step-by-step explanation:

The average rate of change is the slope using the points (0, 10) and (3, 4).  The slope is found using the formula [tex]\frac{y2-y1}{x2-x1}[/tex]

[tex]\frac{4-10}{3-0}= \frac{-6}{3}=-2[/tex]

Step-by-step explanation:

C = 2 Pi R = 220

R = 220 / 2 pi = 35 cm

diameter = 35 x 2 = 70 cm

Area = pi r² = pi 35² = 3848.45 cm

Answer:

C. 189 square centimeters

Step-by-step explanation:

Area of a Square/Rectangle is base x height

= 7 X 7 = 49

Area of a triangle = 1/2 Base X Height

= 1/2 X 7 X 10

= 35

There are 4 triangles

35 X 4 = 140

140 + 49 = 189

= 189cm^2

Answer: C. 189 cm²

Step-by-step explanation:

      A rectangle/square is solved for with A = L * W.

The middle square has a (surface) area of:

7 * 7 = 49 cm²

     We then have four triangles. These are solved for with [tex]\frac{B*H}{2}[/tex]. Since all four are congruent, I will multiply one of them by 4.

The triangles have a total (surface) area of:

10 * 7 = 70

70 / 2 = 35

35 * 4 = 140 cm²

     Lastly, we will add the two totals together.

140 cm² + 49 cm² = 189 cm²

         The object has a surface area of C. 189 cm².

Answer:

25 percent

Step-by-step explanation:

Answer:

A. (-4,-13)

Step-by-step explanation:

y = 2x - 5

y = 4x + 3

-2(y = 2x - 5) ==> -2y = -4x + 10

y = 4x + 3     ==>     y = 4x + 3

-2y = -4x + 10

y = 4x + 3

___________

-y = 13

/-1    /-1

y = -13

Now we find x, by substituting -13 for y

y = 2x - 5

-13 = 2x - 5

+ 5        +5

-8 = 2x

/2    /2

-4 = x

(x, y) ==> (-4, -13)

Check your answer:

y = 2x - 5

-13 = 2(-4) - 5

-13 = -8 -5

-13 = -13

This statement is correct

Hope this helps!

15YD

Step-by-step explanation:

Answer:

Step-by-step explanation:

???? Could you verify the question please?

Hannah collected more acorns than conkers.

Ratio is defined as the relationship between two quantities where it tells how much one quantity is contained in the other.

The ratio of a and b is denoted as a : b.

Given that,

Ratio of collection of conkers by Alannah, Colin and Hannah = 4 : 7 : 9

Total conkers = 4 + 7 + 9 = 20

Ratio of conkers collected by Hannah to total conkers = 9/20

Ratio of collection of acorns by Alannah, Colin and Hannah = 3 : 1 : 5

Total acorns = 3 + 1 + 5 = 9

Ratio of acorns collected by Hannah to total acorns = 5/9

LCM (9, 20) = 180

9/20 = (9 × 9) / (20 × 9) = 81/180

5/9 = (5 × 20) / (9 × 20) = 100/180

Hence Hannah collected more acorns than conkers.

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Answer:

Your answer would be:
3,384 books are left in the library

If each patron has 6 books, and there are 564 patrons:

564 x 6 = 3,384 books left

In conclusion, there are 3,384 books left in the library.

Step-by-step explanation:

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The conclusion based on the mean of the ball and the distance traveled is D. Inferences cannot be made about all the golf balls produced on that day.

From the information given, a golf pro randomly selects a ball, not knowing the type of ball, hits it and end of the session, the mean distance traveled for the new type of golf ball was found to be greater than the mean distance for the original-style golf ball.

In this case, inferences cannot be made about all the golf balls produced on that day; however, the conclusion can be made that the new type of golf balls travel farther than the original type of golf ball for this golf pro.

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Answer:

should be A. Inferences can be made about all the golf balls produced on that day, and the conclusion can be made that the new type of golf balls travel farther than the original type of golf ball for this golf pro.

Step-by-step explanation:

correct for edge, nov. 2022

Answer:

1 pound of potatoes costs $0.87

Answer:

84

Step-by-step explanation:

Area of paralellogram: base x height

Now we multiply!!

6 x 14 = 84 :)

Have an amazing day!!

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The two numbers are illustrations of system of equations

The two numbers are 2.7 and 37.3

Let the numbers be x and y.

So, we have the following equations

x + y = 40

xy = 100

To determine the value of the variables, we simply plot the graph of both equations

From the graph, we have the following result

(x,y) = (2.7, 37.3)

Hence, the two numbers are 2.7 and 37.3

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There are different kinds of math problem. There will be 11 rats in sewer #1.

The term  word problems is known to be problems that are associated with a story, math, etc. They are known to often vary in terms of technicality.

Lets take

sewer #1 = a

sewer #2 = b

sewer #3 = c

Note that   A=B-9

So then you would have:

A=B-9

B=C- 5

A+B+C=56

Then you have to do a substitution so as to find C:

(B- 9) + (C-5) + C = 56

{ (C- 5)-9} + (C-5) + C = 56

3C - 19 = 56

3C = 75

B = C- 5

B = 25 - 5

Therefore, B = 20

A = B - 9

= 25 - 9

=11

Therefore, there are are 11 rats in sewer #1

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Answer:

 (x3 - 2x2 - 4) • (x + 2)

Step-by-step explanation:

STEP

1

:

Equation at the end of step 1

 (((x4) -  22x2) -  4x) -  8

STEP

2

:

Checking for a perfect cube

2.1    x4-4x2-4x-8  is not a perfect cube

Trying to factor by pulling out :

2.2      Factoring:  x4-4x2-4x-8

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1:  x4-8

Group 2:  -4x2-4x

Pull out from each group separately :

Group 1:   (x4-8) • (1)

Group 2:   (x+1) • (-4x)

Polynomial Roots Calculator :

2.3    Find roots (zeroes) of :       F(x) = x4-4x2-4x-8

Polynomial Roots Calculator is a set of methods aimed at finding values of  x  for which   F(x)=0  

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers  x  which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number  P/Q   then  P  is a factor of the Trailing Constant and  Q  is a factor of the Leading Coefficient

In this case, the Leading Coefficient is  1  and the Trailing Constant is  -8.

The factor(s) are:

of the Leading Coefficient :  1

of the Trailing Constant :  1 ,2 ,4 ,8

Answer:

899 ft

Step-by-step explanation:

if point a is 400 feet from the base and 499 feet away from the top you would need to add 400+499 together to get 899

Scalene triangle: if none of the three sides of a triangle are equal to each other, it is called a scalene triangle.

Equilateral triangle: An equilateral triangle is a triangle in which all three sides have the same length.

Isosceles triangle: An isosceles triangle is a triangle that has two sides of equal length.

Acute Triangle: An acute triangle is a triangle with three acute angles.

Right Triangle: A triangle in which one of the interior angles is 90° is called a right triangle.

Obtuse Triangle: An obtuse triangle is a triangle with one obtuse angle and two acute angles.

The expression x^2 + 9 is an algebraic expression

x^2 + 9 cannot be factored because it is not a difference of two squares

The expression is given as:

x^2 + 9

Express 9 as the square of 3

x^2 + 3^2

The above expression is not a difference of two squares

Hence, x^2 + 9 cannot be factored because it is not a difference of two squares

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The answer is: Reject H0. There is convincing evidence that the true mean weight of the chlorine tablets in the 50-pound buckets is less than 50 pounds.

Answer:

4x+1

Step-by-step explanation:

1) to find the required expression for the length:

length=area/width;

2) according to the formula above:

[tex]L=\frac{4x^2+9x+2}{x+2}=\frac{(x+2)(4x+1)}{x+2}=4x+1.[/tex]

Answer:

x = 6

y = -5

Explanation:

substitute each of the following,

-3x + 13  = -x + 1

-3x + x = 1 - 13

-2x = -12

x = 6

Find y,

y = -x + 1

y = -6 + 1

y = -5

Step-by-step explanation:

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Question 1: Area of the base

          ⇒ Area of a Triangle --> [tex]\frac{1}{2}*(base)*(height)[/tex]

                ⇒ Area = [tex]\frac{1}{2} * 6 * 8 = 3 * 8 =[/tex] 24 square kilometers

Question 2: Height of Pyramid

          ⇒ Height = 12 km

          ⇒ [tex]\frac{1}{3} *24 * 12 = 8 * 12[/tex] = 96 cubic kilometers

Hope that helps!

Answer:

5a + ab = 40

Step-by-step explanation:

Sub in 10 for a, making the equation 5 x 10 + 10 x b

Then sub in - 1 for b making it 5 x 10 + 10 x - 1

Then multiply making it 50 + - 10

Then subtract since adding negative is actually subtracting and you get 40

Hey there!

In order to evaluate this expression, all we should do is plug in the values of the variables and simplify.

We are given that

a=10

b=-1

Plug in the values:

5(10)+(10)(-1)

multiply 5 times 10 and 10 times (-1) and add the products:

50+(-10)

or... actually subtract.

50-10

40

Hence, the answer is

[tex]\boxed{\boxed{\bold{40}}}[/tex]

Hope everything is clear.

Let me know if you have any questions!

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:-)

The probability of winning when there is only one prize, is:

P = 1/2,790,720

Each ticket has 6 different numbers, in order, from 1 to 20.

The total number of possible combinations is given by the product between the numbers of options, so there are:

C = 20*19*18*17*16*15 = 27,907,200 possible tickets.

So, if Trina purchases 10 tickets, she has a probability of 10 out of 27,907,200 winning (when we assume that there is only one prize)

Then the probability is:

P = 10/27,907,200 = 1/2,790,720

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Answer:

13.25$

Step-by-step explanation:

p+6.50=19.75

substract 6.50 on both side : p=13.25$

The total amount of money sam had in his pocket is $13.25.

A linear equation is an equation in which the highest power of the variable is always 1. The standard form of a linear equation in one variable is of the form Ax + B = 0.

Sam had some money in his pocket, and he found another $6.50 in his dresser drawer. The total amount sam had was $19.75.

Here, let p represent the amount of money sam had in his pocket.

The equation formed

p + $6.50 = $19.75

p = $19.75 - $6.50

p = $13.25

Therefore, the total amount of money sam had in his pocket is $13.25.

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Answer:

Melanie: y = 0.25x

Patrick: y = 0.03x + 5

Patrick's service is cheaper when 50 texts are sent or received in one month.

Step-by-step explanation:

Let's find out Melanie's monthly texting cost function using the table. We are given multiple points that the line describing her monthly text costs passes through, so we can use the slope formula to calculate the slope of this line first.

Substitute (5, 1.25) and (10, 2.50) into this formula.

Now we can use the point-slope equation to determine the line that describes Melanie's monthly texting cost.

I'm going to use the point (5, 1.25) and the slope m = 0.25.

We have Melanie's function:

We have Patrick's function:

We want to determine which service is cheaper when 50 texts are sent/received in one month.

The number of texts sent and received is represented with the variable "x", and the cost of this service is represented with the variable "y".

All we need to do is substitute 50 for x in both equations to see if Melanie or Patrick's service is cheaper.

Starting with Melanie:

Now with Patrick:

Patrick's service is substantially cheaper than Melanie's service when 50 texts are sent or received in one month.

The Hypotheses are; Null Hypothesis; H₀: μ = 76.4 and Alternative Hypothesis; Hₐ: μ > 76.4 where μ is the true mean height of all trucks.

We are given;

Population Mean; μ = 76.4 inches

Sample Mean; x' = 77.1 inches

Sample standard deviation; s = 5.2 inches

Sample size; n = 100 trucks

Now we can thus define the hypotheses as;

Null Hypothesis; H₀: μ = 76.4

Alternative Hypothesis; Hₐ: μ > 76.4

where μ is the true mean height of all trucks

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Answer: 36533

Step-by-step explanation: