You randomly choose a block from each
set in the diagram. What is the probability
that you will choose a block labeled with a
Tor a block labeled with a 6?

You Randomly Choose A Block From Eachset In The Diagram. What Is The Probabilitythat You Will Choose

Answers

Answer 1

Using it's concept, there is a 0.2344 = 23.44% probability that you will choose a block labeled with a T or a block labeled with a 6.

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

For each block, there are 8 outcomes, since there are 2 blocks, there are 8² = 64 total outcomes. For the desired outcomes, we have that:

There are 8 outcomes with a T and a block from the second square.Removing the 2 outcomes below with a 6 and a T, as they are already counted, there are 7 outcomes with a six.

Hence there are 8 + 7 = 15 desired outcomes, and the probability is given by:

p = 15/64 = 0.2344.

0.2344 = 23.44% probability that you will choose a block labeled with a T or a block labeled with a 6.

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Related Questions

Is sin(sin^-1x) = sin-1(sinx) an identity? Why or why not?

Answers

It should be noted that sin(sin^-1x) = sin-1(sinx) is not an identity.

What is identity?

It should be noted that an identity simply means an equation that is always true no matter the values that are substituted.

In this case, should be noted that sin(sin^-1x) = sin-1(sinx) is not an identity. It's simply the inverse of the sine function.

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i,dk how to do this pls help :)

Answers

Given the percentage taken off and the reduced price, the original price of the item is $142.

What was the original price of the item?

Given the data in the question;

Percentage off the item = 20%Reduced price of the item = $113.60Original price of the item = ?

The original price of the item is at 100%, if the 20% is taken off. The price is now at 80%.

Hence 80% of the original price will give the reduced price.

Let the original price be represented by x

80% × x = $113.60

We solve for x

80/100 × x = $113.60

80x/100 = $113.60

Cross multiply

80x = $11360

x = $11360/80

x = $142

Given the percentage taken off and the reduced price, the original price of the item is $142.

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please guys please pllease

Answers

Answer:

x= -3.936 and -0.064

Step-by-step explanation:

I simplified the equation to 40u^2 +16u + 1. Then I just graphed it and found that the zeroes were -3.936 and -0.064.

[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

Here we go ~

Let's calculate its discriminant :

[tex]\qquad \sf  \dashrightarrow \: 4 {u}^{2} + 16u + 41 = 40[/tex]

[tex]\qquad \sf  \dashrightarrow \: 4 {u}^{2} + 16u + 41 - 40 = 0[/tex]

[tex]\qquad \sf  \dashrightarrow \: 4 {u}^{2} + 16u + 1 = 0[/tex]

Here, if we equate it with general equation,

a = 4

b = 16

c = 1

[tex]\qquad \sf  \dashrightarrow \: disciminant = {b}^{2} - 4ac[/tex]

[tex]\qquad \sf  \dashrightarrow \: d = (16) {}^{2} - (4 \times 4 \times 1) [/tex]

[tex]\qquad \sf  \dashrightarrow \: d = (16) {}^{2} - (16) [/tex]

[tex]\qquad \sf  \dashrightarrow \: d = 16(16 - 1)[/tex]

[tex]\qquad \sf  \dashrightarrow \: d = 16(15)[/tex]

[tex]\qquad \sf  \dashrightarrow \: d = 240[/tex]

Now, since discriminant is positive ; it has two real roots ~

The roots are :

[tex]\qquad \sf  \dashrightarrow \: u = \dfrac{ - b \pm \sqrt{ d } }{2a} [/tex]

[tex]\qquad \sf  \dashrightarrow \: u = \dfrac{ - 16\pm \sqrt{ 240 } }{2 \times 4} [/tex]

[tex]\qquad \sf  \dashrightarrow \: u = \dfrac{ - 16\pm 4\sqrt{ 15 } }{8} [/tex]

[tex]\qquad \sf  \dashrightarrow \: u = \dfrac{ 4(- 4\pm \sqrt{ 15 }) }{8} [/tex]

[tex]\qquad \sf  \dashrightarrow \: u = \dfrac{ - 4\pm \sqrt{ 15 } }{2} [/tex]

So, the required roots are :

[tex]\qquad \sf  \dashrightarrow \: u = \dfrac{ - 4 - \sqrt{ 15 } }{2} \: \: and \: \: \dfrac{ - 4 + \sqrt{15} }{2} [/tex]

Select the correct answer.
Graph the following system of inequalities.
y ≥x-2
y ≤-4x - 2
y
-6-5
6
0 1 2 3 4
X
9
5
2
F
6
12 RE
NUE
F
4 5 6

Answers

Answer:

I don't understand the formatting after the first two equations.

Step-by-step explanation:

See attached graph.

When strawberry prices increase 20 percent, the quantity demanded of whipped cream falls 10 percent. what is the cross-price elasticity of demand between strawberries and whipped cream?

Answers

The cross-price elasticity of demand between strawberries and whipped cream is (C) -0.5.

What is the cross-price elasticity of demand?The cross elasticity of demand, also known as the cross-price elasticity of demand, is a measure in economics that compares the percentage change in the quantity desired for one commodity to the percentage change in the price of another good, everything else being equal. In practice, the amount desired of a thing is affected not only by its own price (price elasticity of demand) but also by the prices of other "related" products.As an example, when strawberry prices rise by 20%, demand for whipped cream falls by 10%. The cross-price elasticity of demand between strawberries and whipped cream is -0.5.

Therefore, the cross-price elasticity of demand between strawberries and whipped cream is (C) -0.5.

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The complete question is given below:

When strawberry prices increase by 20 percent, the quantity demanded of whipped cream falls by 10 percent. What is the cross-price elasticity of demand between strawberries and whipped cream?

a. -2

b. 2

c. -0.5

d. 0.5

If you have 6 lessons a week in mathematics, each lesson being 38 minutes long, what is the total time spent in mathematics lessons in a ten week term?

Answers

Answer:

2280 minutes.

Step-by-step explanation:

Time spent each week in lessons = (Lessons per week)(Time per lesson)

= (6)(38)

= 228 minutes/week

Time spent in a 10-week period:

10 weeks * 228 minutes/week

= 2280 minutes

Use conversion factors to determine the time in the desired units (i.e. Hours, seconds, etc.).

Hope this helps!

​ y=4x−5 y=2x+3 ​ Is (4,11)(4,11)left parenthesis, 4, comma, 11, right parenthesis a solution of the system?

Answers

The solution to the systems if equation y = 4x - 5, y = 2x + 3 is (x, y) = (4, 11)

Equation

y = 4x - 5

y = 2x + 3

Equation both equations

4x - 5 = 2x + 3

collect like terms

4x - 2x = 3 + 5

2x = 8

divide both sides by 2

x = 8/2

x = 4

Substitute x = 4 into

y = 4x - 5

= 4(4) - 5

= 16 - 5

y = 11

Therefore, the solution to the system of be equation is x = 4 and y = 11

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pllllllllllllllllllllleasee one guys i neeed ur help one

Answers

[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

Let's solve ~

Calculate discriminant :

[tex]\qquad \sf  \dashrightarrow \: 3 {x}^{2} + 6x - 1[/tex]

a = 3b = 6c = 1

[tex]\qquad \sf  \dashrightarrow \: discriminant = {b}^{2} - 4ac[/tex]

[tex]\qquad \sf  \dashrightarrow \: d = (6) {}^{2} - (4 \times 3 \times 1)[/tex]

[tex]\qquad \sf  \dashrightarrow \: d = 36 - 12[/tex]

[tex]\qquad \sf  \dashrightarrow \: d = 24[/tex]

[tex]\qquad \sf  \dashrightarrow \: \sqrt {d} = 2 \sqrt{6} [/tex]

Now, let's calculate it's roots ( x - intercepts )

[tex]\qquad \sf  \dashrightarrow \: x = \cfrac{ - b \pm \sqrt{d} }{2a} [/tex]

[tex]\qquad \sf  \dashrightarrow \: x = \cfrac{ - 6\pm 2 \sqrt{6} }{2 \times 3} [/tex]

[tex]\qquad \sf  \dashrightarrow \: x = \cfrac{ - 6\pm 2 \sqrt{6} }{6} [/tex]

So, the intercepts are :

[tex]\qquad \sf  \dashrightarrow \: x = \cfrac{ - 6 - 2 \sqrt{6} }{6} [/tex]

and

[tex]\qquad \sf  \dashrightarrow \: x = \cfrac{ - 6 + 2 \sqrt{6} }{6} [/tex]

Answer:

[tex]\left( \dfrac{ -3 + 2\sqrt{3}}{ 3}, \ 0\right), \ \left(\dfrac{ -3 - 2\sqrt{3}}{ 3}, \ 0\right)[/tex]

Explanation:

Given expression:

f(x) = 3x² + 6x - 1

To find x intercepts, set f(x) = 0

Use quadratic formula:

[tex]\sf x = \dfrac{ -b \pm \sqrt{b^2 - 4ac}}{2a} \ where \ ax^2 + bx + c = 0[/tex]

Here after finding coefficients:

a = 3, b = 6, c = -1

Applying formula:

[tex]x = \dfrac{ -6 \pm \sqrt{6^2 - 4(3)(-1)}}{2(3)}[/tex]

[tex]x = \dfrac{ -6 \pm \sqrt{48}}{6}[/tex]

[tex]x = \dfrac{ -6 \pm 4\sqrt{3}}{6}[/tex]

[tex]x = \dfrac{ -6 \pm 4\sqrt{3}}{2 \cdot 3}[/tex]

[tex]x = \dfrac{ -3 \pm 2\sqrt{3}}{ 3}[/tex]

[tex]x = \dfrac{ -3 + 2\sqrt{3}}{ 3}, \ \dfrac{ -3 - 2\sqrt{3}}{ 3}[/tex]

Describe the end behavior of the following function:
F(x)=x^5-x^3+x²
A. The graph of the function starts high and ends high.
B. The graph of the function starts low and ends low.
C. The graph of the function starts high and ends low.
D. The graph of the function starts low and ends high.

Answers

Describe the end behavior of the function F(x)=x^5-x^3+x^2

If a writer writes 5,000 words per day to their novel, spending at least 6 hours to do so, and their goal is 120,000, how many days and hours total would it take to achieve their goal? The best explanation and answer gets Brainliest!

Answers

Answer:

6 days

Step-by-step explanation:

if they are writing at 5,000 words per 6 hours, we divide 120,000 by 5,000 and then multiply by 6: 120,000/5,000 = 24, 24*6 = 144 total hours

There are 24 hours in a day: 144/24 = 6

Two events, a and b, are independent of each other. p(a)= and p(a and b)=. what is p(b) written as a decimal? round to the nearest hundredth, if necessary.

Answers

if two occurrences A and B are unrelated to one another. Then, 3/4 or 0.75 is the likelihood of event B.

What is probability?

The field of mathematics known as probability studies numerical descriptions of the likelihood of an event occurring or of a statement being true.. The probability of an event is a number between 0 and 1, with 0 generally signifying the event's impossibility and 1 generally signifying its certainty.

What pair of events is referred to as an independent event?

These occurrences are referred to as independent events when the occurrence or non-occurrence of one event has no bearing on the occurrence or non-occurrence of any other events.

Figuratively, we have:

If we have the following, two events A and B are said to be independent.

                            [tex]\mathrm{P}(\mathrm{A} \cap \mathrm{B})=\mathrm{P}(\mathrm{A}) \mathrm{P}(\mathrm{B})[/tex]

Events A and B happen apart from one another. P(A) = 1/6, while P(A and B) = 1/8.

The likelihood of the event B will then be.

                            [tex]\begin{aligned}&\mathrm{P}(\mathrm{A} \cap \mathrm{B})=\mathrm{P}(\mathrm{A}) \mathrm{P}(\mathrm{B}) \\&\mathrm{P}(\mathrm{B})=\frac{\mathrm{P}(\mathrm{A} \cap \mathrm{B})}{\mathrm{P}(\mathrm{A})} \\&\mathrm{P}(\mathrm{B})=\frac{1 / 8}{1 / 6} \\&\mathrm{P}(\mathrm{B})=\frac{6}{8} \\&\mathrm{P}(\mathrm{B})=\frac{3}{4}=0.75\end{aligned}[/tex]

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I understand that the question you are looking for is:

Two events, A and B, are independent of each other. P(A) = 1/6 and P(A and B) = 1/8. What is P(B) written as a decimal? Round to the nearest hundredth, if necessary.



Identify the inequality
that describes this graph.
y≤x + 5
y>x+5

Answers

The inequality that describes this graph is y ≥ x+5

How to determine the inequality?

From the given graph, we have the following highlights:

The line of the graph is a closed lineThe upper part is shaded

The first highlight above implies, the inequality can be any of ≥ and ≤

While the second highlight above implies, the inequality is ≥

Hence, the inequality that describes this graph is y ≥ x+5

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The motion of an object was recorded by measuring the velocity of the object in meters per second at various times, as shown in the table. The scatterplot below was graphed from the data in the table, where t represents the time, and v represents the velocity. Based on the scatterplot, which equation BEST represents the relationship between velocity and time?

Answers

An equation which best represents the relationship between velocity and time is: B. v = 2.19x + 6.7.

What is a scatter plot?

A scatter plot can be defined as a type of graph which is used for the graphical representation of the values of two variables, with the resulting points showing any association (correlation) between the data set.

What is a linear function?

A linear function can be defined as a type of function whose equation is graphically represented by a straight line on the cartesian coordinate.

By critically observing the graph (see attachment) which models the data in the given table, we can infer and logically deduce that the linear function is given by:

v = 2.0852x + 6.3978

Therefore, an equation which best represents the relationship between velocity and time is:

v = 2.19x + 6.7.

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help solve math problem

Answers

Answer:

  (c)  x < -5.170

Step-by-step explanation:

The given function is an exponential function with a decay factor of 0.5 and a y-intercept of 0.5^2 = 0.25. It will be larger for more negative x-values.

Estimate

We know that 2^3 = 8, so (1/2)^-3 = 8. This means the exponent of 0.5 in the given inequality will be more negative than -3:

  x +2 < -3

  x < -5 . . . . . . . . subtract 2

The only answer choice in this range is ...

  x < -5.170

Exact solution

Taking the logarithm of both sides of the inequality, we have ...

  (x +2)log(0.5) > log(9)

  x +2 < log(9)/log(0.5) . . . . . . log(0.5) < 0, so the inequality reverses

  x < log(9)/log(0.5) -2 . . . . . . subtract 2

  x < (0.95424251)/(-0.30103000) -2 = -3.1699250 -2

  x < -5.1699250 ≈ -5.170

Given the parametric equations x = 2sint and y = -3cost on 0 ≤ t ≤ π. convert to a rectangular equation and sketch the curve

Answers

The rectangular equation for given parametric equations x = 2sin(t) and   y = -3cos(t) on 0 ≤ t ≤ π is  [tex]\frac{x^{2} }{4} +\frac{y^2}{9} =1[/tex] which is an ellipse.

For given question,

We have been given a pair of parametric equations x = 2sin(t) and           y = -3cos(t) on 0 ≤ t ≤ π.

We need to convert given parametric equations to a rectangular equation and sketch the curve.

Given parametric equations can be written as,

x/2 = sin(t) and y/(-3) = cos(t) on 0 ≤ t ≤ π.

We know that the trigonometric identity,

sin²t + cos²t = 1

⇒ (x/2)² + (- y/3)² = 1

⇒ [tex]\frac{x^{2} }{4} +\frac{y^2}{9} =1[/tex]

This represents an ellipse with center (0, 0), major axis 18 units and minor axis 8 units.

The rectangular equation is  [tex]\frac{x^{2} }{4} +\frac{y^2}{9} =1[/tex]

The graph of the rectangular equation [tex]\frac{x^{2} }{4} +\frac{y^2}{9} =1[/tex] is as shown below.

Therefore, the rectangular equation for given parametric equations x = 2sint and y = -3cost on 0 ≤ t ≤ π is  [tex]\frac{x^{2} }{4} +\frac{y^2}{9} =1[/tex] which is an ellipse.

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x2 + 6x - 7

Factor the following trinomials containing negative numbers. Follow the rules for operations with signed numbers to identify the correct binomial factors.

Answers

The factored form of the given trinomial is (x -7)(x +1)

Factoring the quadratics

From the question, we are to factor the given trinomials

The given trinomial is

x² + 6x - 7

The trinomial is a quadratic expression. The trinomial/ quadratic expression can be factored as a product of two binomial. When factored, the trinomial will take the form (x + a)(x + b)

Where are a and b are integers.

Factoring the trinomial

x² + 6x - 7

To factor the trinomial, we will find two numbers such that when added, we get the middle term; and when these numbers are multiplied we get the constant term.

The numbers that satisfy this condition are +1x and -7x

x² +x -7x - 7

x (x + 1) -7(x +1)

(x -7)(x +1)

Hence, the factored form of the given trinomial is (x -7)(x +1)

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(6+q)-xy pllease help this question turn in words

Answers

In words (6 + q) - xy is six added to a number subtracted from the product of two numbers

The problem is a algebraic expression

What is an algebraic expression?

A algebraic expression  a mathematical expression containing one or more variables used to express a word problem

We want to convert the algebraic expression (6 + q) - xy into a word problem.

First, we have 6 + q which is six added to a number.Next, we have xy which is the product of two numbersSince (6 + q) is subtracted from xy, we have (6 + q) - xy as six added to a number subtracted from the product of two numbers

So, (6 + q) - xy in words is six added to a number subtracted from the product of two numbers

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A number exceeds its four-sevenths by 18. Find the number.

Answers

Answer:

42

Step-by-step explanation:

let the number be x

4/7 of x

(4/7) × x

4x/7

As stated in the question:

x=4x/7+18

=x-4x/7=18

=(7x-4x)/7=18

=3x/7=18

3x= 18×17

3x= 126

x=126/3

x=42

Find the area of the shaded region if the dimensions of the unshaded region are 20ft x 35ft . use 3.14 for π as necessary.

Answers

Area of the shaded region is 1397.46 square feet.

what is area of shaded region?

The area of the shaded region is the difference between the area of the entire polygon and the area of the unshaded part inside the polygon. The area of the shaded part can occur in two ways in polygons. The shaded region can be located at the center of a polygon or the sides of the polygon.

We are to find the area of the shaded region. For that, we will divide the figure into smaller shapes, find their areas separately and then add them up.

From the given figure, we can see that there are two semi circles or say one whole circle if we combine them at the ends while 2 rectangles at the top and bottom.

Radius of circle = [tex]\frac{20+7+7}{2}[/tex] = 17

Area of circle = [tex]\pi r^{2}[/tex]

                      = [tex]\pi( 17)^{2}[/tex]

                      = 907.92 square ft.

Area of rectangles =2×(l×b)

                              = 2×20×35

                              = 490 square ft

Then,

Area of the shaded region = 907.92 +490

                                            = 1397.46 square ft

Hence,Area of the shaded region is 1397.46 square ft.

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How many cars can be washed with 1 gallon of soap if 100oz Can
wash 11 cars?

Answers

Answer: 14 cars.

Step-by-step explanation:

A car can be washed with : 100/11 oz.

1 gallon=128 oz.

Hence,

[tex]\displaystyle\\\frac{128}{\frac{100}{11} } =\frac{128*11}{100} =\frac{1408}{100} =14,08\ (cars).[/tex]

The total number of cars that can be washed with 1 gallon of soap if 100oz Can wash 11 cars would be given as 14 cars

How to solve for the total number

To determine how many cars can be washed with 1 gallon of soap, we need to find the ratio between the amount of soap used and the number of cars washed.

Given that 100 oz of soap can wash 11 cars, we can set up the following proportion:

100 oz soap / 11 cars = 1 gallon soap / x cars

I gallon is given as 128 OZ

Such that we have

128 x 100 / 11

= 14.08 cars

Hence the total number of cars would be given as 14 cars

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60. In the given figure, PTR is tangent of a circle. If AT=PT and ZAPT=20°, what is the value of ZABT? ​

Answers

The value of angle ABT is 40 degrees if PTR is the tangent of a circle option (a) 40° is correct.

What is a circle?

It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)

It is given that:

A circle is shown in the picture.

PTR is the tangent of a circle.

AT=PT

Angle APT=20°

Let O is the center of the circle:

Angle BOT = 2 Angle PAT = 40 degrees

BO = TO = r

Angle BOT = Angle TBO = (1/2)(180 - 40) = 70 degrees

RTP is the tangent

OT ⊥ PTR

Angle OTA = 90 - Angle ATR = 50 degrees

Angle ABT = 180 - Angle PAT - Angle BTA

= 180 - 20 -  (170 + 50)

= 40 degrees

Thus, the value of angle ABT is 40 degrees if PTR is the tangent of a circle option (a) 40° is correct.

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In figure #4, identify all of the vertical pairs of angles,

Answers

The identified vertical pair of angles in the given figure is: angle LOP and angle MOE.

What is a Vertical Angles Pair?

A pair of angles are regarded as vertical angles that are formed when two straight line intersect each other. The vertical angles formed are non-adjacent angles. They share a common point or vertex but do not have any shared common side.

According to the vertical angles theorem, this vertical angles pair that are non-adjacent angles have angle measure that is congruent to each other.

In the figure shown below, the shared vertex O. The two non-adjacent angles that share this vertex but share no common sides are angle LOP and angle MOE. These vertical angles that are non-adjacent angles are congruent.

Therefore, the identified vertical pair of angles in the given figure is: angle LOP and angle MOE.

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Elijah has a flower box in shape of a rectangular prism with injector dimensions that are 15 inches in length, 8 inches in width height. elijah will flower box 3/4 full of soil. how many cubic inches of soil will be in flower box?

Answers

720 cubic inches of soil will be in the flower box.

Cuboid Definition: Cuboid shaped objects surround us in our day-to-day life. From television sets, books, carton boxes to bricks, mattresses, and shoeboxes, cuboid objects are all around us. In Geometry, a cuboid is a three-dimensional figure with six rectangular faces, twelve edges, and eight vertices.

Volume of Cuboid = Length x Width x Height

∴ The volume of the soil box = 15 x 8 x 8 = 960 inch³

Since 3/4 is occupied by the soil, the volume of the soil becomes

= 3/4 x 960

= 720 inch³

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Determine the range of f(x) = |x + 5|.

Answers

Answer:

[0,+♾)

Step-by-step explanation:

|x| function is kinda like a half opened book from (0, 0) and |x+5| is from (–5, 0)

So we can't find any changes for y

so the domain is

[0, +♾)

Explain this diagram.

Answers

The shape that we have here is sued to show the infinite geometric progression.

What is geometric progression?

This is the sequence of numbers that has all the other values in the sequence gotten by the multiplication of a certain factor

In this question or the shape we can see that the triangle is made up of smaller other triangles embedded in it.

The area of the traingle that is in the red color is seen to have been made up of 1/3 of the total triangles that we have in the shape. This can be seen to be similar as the triangles that are represented by the green and the blue color.

Putting a  lot of triangles inside one big triangle gives up a pictorial diagram on how to add infinite amount of things up.

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Simplify (64/125)-2/3 + (256/625)-1/4 + (7/3)​

Answers

Step-by-step explanation:

part 1: 64/125 - 2/3

make the denominator ( bottom number) the same

x/125 and x/3

125×3 and 3×125

x/375 and x/375

whatever we do to the denominator we have to do to the numerator ( top number)

64/125

125 × 3

so

64 ×3

=64×3/125×3

=192/375

2/3

3 × 125

so

2 × 125

=2×125/3×125

=250/375

put together:

192/375 - 250/375

denominator is the same so we can simply take 192 from 250

192 - 250 = -58

= -58/375

part 2: + (256/625)-1/4

-58/375 + (256/625)-1/4

do the same for (256/625)-1/4 as in part 1

then add it to -58/375 by making the denominator the same

part 3: + (7/3)​

make the denominator the same and add

part 4: simplify

divide a number from both the top and bottom till there is nothing you can divide from both

A local smallholder is putting animals in different fields. She put them in different ratios. 50 POINTS AND BRAINLIEST!!

She spilt the 54 pigs in the ratio 1:2:3. How many are in each field as a ratio? __:__:__

She split the 154 chikens in the ratio 2:3:6. How many are in each field? __:__:__

Answers

Answer:

Part 1: 9:18:27

Part 2: 28:42:84

Step-by-step explanation:

Part 1:

54 pigs are split into the ratio 1:2:3. Treating a "1" ratio as x, we have x:2x:3x is 54 pigs. We can add up all parts of the ratio to become the whole. x+2x+3x=54. Solving, x=9. Substituting, our ratio is 9:18:27.

Part 2:

Similar to part 1, we treat a "1" ratio as y. Our ratio is 2y:3y:6y for a total of 154 chickens. Adding all the parts, we have 2y+3y+6y=154, so y=14. Substituting, our ratio is 28:42:84.

The function f(x) = 2x 1 represents the altitude of a plane, where x is the time in minutes. the function g(x) = x2 − 10 represents the time in minutes, where x is the height in thousands of feet of the plane. what is the value of f[g(10)]? 271 181 90 21

Answers

To estimate the value for g(10), that means that you have to substitute 10 in every x of g(x), then [tex]$g(x) =x^2-10[/tex] exists g(10) = 90.

The value of g(10), we have to substitute in every x of f(x), the

[tex]f(x) = 2x + 1[/tex] exists f(90) = 181

Therefore, the value of f[g(10)] exists 181.

How to estimate the value of f[g(10)]?

To estimate the value for g(10), that means that you have to substitute 10 in every x of g(x), then

[tex]$g(x) =x^2-10[/tex]

substitute the value of x = 10

[tex]$g(10) = (10)^2-10[/tex]

simplifying the equation, we get

g(10) = 100 - 10

g(10) = 90

We have the value of g(10), we have to substitute in every x of f(x), then

f(x) = 2x + 1

substitute the value of x = 90

f(90) = 2(90) + 1

simplifying the equation, we get

f(90) = 180 + 1

f(90) = 181

The value of f[g(10)] exists 181.

Therefore, the correct answer is option b) 181.

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the sides of each square have a length of 3 inches. what is the perimeter of Edgar's check boar​

Answers

Answer:

  (b)  96 inches

Step-by-step explanation:

The perimeter of the board is the sum of its four edge lengths.

Edge length

Each edge of the board is indicated as being 8 squares long. Each square is 3 inches on a side, so the edge of the board is ...

  8 × (3 in) = 24 in . . . . board edge length

Perimeter

The perimeter of the board is 4 times the length of one edge, so is ...

  P =4s = 4(24 in) = 96 in

The perimeter of Edgar's checkerboard is 96 inches.

__

Scaled geometry (alternate solution)

The perimeter of one small square on the board is ...

  P = 4s = 4(3 in) = 12 in

The whole board is a dilation of one square by a factor of 8. Its perimeter will be ...

  P' = (scale factor) × P

  P' = 8×(12 in) = 96 in

The perimeter of Edgar's checkerboard is 96 inches.

Find the ratio of 4:25​

Answers

4:25
16:100
1: 6.25

Answer: 1: 6.25
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