A carton contains 20 shirts, of which q are made of pure cotton. After 4 more pure cotton shirts are added to the carton, the probability of drawing a pure cotton shirt becomes 3/4, find the value of q.

Answer:

Length of leg of triangle = [tex]9\sqrt2\ cm[/tex]

Step-by-step explanation:

We are given a 45°-45°-90° triangle with hypotenuse measuring 18 cm.

Let us assume the following labeling of the diagram, as attached in the answer area.

[tex]\angle XYZ =90^\circ\\\angle YXZ =45^\circ\\\angle ZXY =45^\circ\\\\Hypotenuse, XZ = 18 cm[/tex]

The two angles here are equal to 45° so two sides of the triangle opposite to the equal angles will also be equal to each other i.e. it is an isosceles triangle.

i.e. The sides XY and YZ will be equal.

Let XY = YZ = x cm

It is known that in a right angled triangle, pythagorean theorem holds well.

As per pythagoream theorem:

[tex]\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Height}^{2}[/tex]

Putting the values:

[tex]\text{XZ}^{2} = \text{YZ}^{2} + \text{XY}^{2}\\\Rightarrow 18^2 = x^{2} +x^{2} \\\Rightarrow 2x^{2} = 18^2\\\Rightarrow 2x^{2} = 324\\\Rightarrow x^{2} = 162\\\Rightarrow x = \sqrt{2 \times 81}\\\Rightarrow x = 9\sqrt2\ cm[/tex]

So, the length of leg of triangle = [tex]9\sqrt2\ cm[/tex]

Answer:

answer is B    9 root 2 cm

Step-by-step explanation:

got it right on edg 2020-2021

Answer:

Avery needs to pay $14.84

Step-by-step explanation:

When there's a tax we need to sum the original value of the product with the tax's value. To find the amount of money Avery needs to pay in taxes we can apply a rule of three as shown below:

[tex]\frac{14}{x} = \frac{100}{6} \frac{\%}{\%}[/tex]

Where "x" is the tax value, and $14 represents 100%, since it's the value used to calculate the tax. We have:

[tex]x = \frac{14*6}{100}\\x = \frac{84}{100}\\x = 0.84[/tex]

The value to be paid is the product value plus the tax, therefore:

[tex]\text{paid} = 14 + 0.84 = 14.84[/tex]

Avery needs to pay $14.84

Answer: A. 397 miles

Step-by-step explanation:

Add the miles traveled on Saturday and Sunday to find out how many miles were traveled in total.

409 + 239 = 648

Now, subtract the total number of miles traveled from the original distance.

1,045 - 648 = 397

Answer:

397

Step-by-step explanation:

To figure this out, you just minus how much they have already traveled by the total distance they need to travel. To solve it, you can add together 409+239=648. Then, you take 648 and minus that from 1045. And so, 1045-648=397

Answer:

Step-by-step explanation:

If it was like....[tex]\frac{a^{5}}{a^{3}}[/tex]

then you subtract 5 minus 3 to be left with a^2 on the numerator

That would be how you would take it away.

Answer:

D. "If the graph of two variables is not a linear function, then the two variables are not directly proportional"

Step-by-step explanation:

The contrapositive of a statement is basically you changing the conditional part of the statement with its result and then finding the negative of both. This is called Contraposition.

So, for the statement given:

"If two variables are directly proportional, then their graph is a linear function."

The contrapositive will be:

"If the graph of two variables is not a linear function, then the two variables are not directly proportional"

Answer:

d

Step-by-step explanation:

Answer:

All

Step-by-step explanation:

Whole numbers are numbers 0 to infinity.

Natural numbers are numbers 1 to infinity.

So, your answer is all.

Answer:

Step-by-step explanation:

Answer:

The area of a circle with a circumference that equals the perimeter of the square is 9.62 units²

Step-by-step explanation:

The first thing we must do is find the perimeter of the square. In the problem, we are given that one of the side measurements of the square is 2.75 units. In order to find the perimeter of this square, we must multiply 2.75 by 4 because a square has four equal side measurements.

2.75 × 4 = 11

So, the perimeter of the square is 11 units. This number will also be the number for the circumference of the circle as mentioned in the problem. So, the circumference of the circle is 11 units. Now, we must find the radius of the circle so we can find the area. Let's use the formula for finding radius given the circumference.

[tex]Radius = \frac{circumference}{2\pi}[/tex]

Now, let;s plug in 11 for the circumference because our circumference is 11 units.

[tex]Radius=\frac{11}{2\pi}[/tex]

Multiply 2 by pi. We will use 3.14 in replacement of pi.

[tex]Radius=\frac{11}{6.28}[/tex]

Now, divide.

[tex]Radius=1.75[/tex]

So, our radius is 1.75 units. We can know use this number to find the area of the circle.

[tex]Area=r^2\pi[/tex]

Plug in 1.75 for the radius.

[tex]Area=(1.75)^2\pi[/tex]

Simplify the exponent.

[tex]Area=(3.0625)\pi[/tex]

Multiply the numbers.

[tex]Area=9.61625[/tex]

Lastly, we round this number to the nearest hundredth as it is asked of us in the problem.

9.61625 = 9.62

So, the area of the circle is 9.62 units²

Answer:

9.62

Step-by-step explanation:

Got it on the test

Answer:

m∠A = 135°

m∠C = 135°

Step-by-step explanation:

There are 540° in a pentagon.

You are given 3 90° angles

540-90(3) = 270

∠A and ∠C are congruent

270/2 = 135° each

Answer:

Yes

Step-by-step explanation:

4/10 = 0.4

4/100 = 0.04

0.4 > 0.04

Therefore the answer is yes

Answer:

Yes See if you get 4 are out of 10 it will be big than 4 out of 100

Step-by-step explanation:

Hope this helps

Answer:

16 for Sol A and 24 for Sol B

Step-by-step explanation:

Let x = the number of ounces of Solution A

Let y = the number of ounces of Solution B

x + y = 40        y = 40 - x

.60x + .85y = .75(40)

.60x + .85y = 30      Multiply both sides of the equation by 100 to remove the decimal points.

60x + 85y = 3000

60x + 85(40 - x) = 3000

60x + 3400 - 85x = 3000

-25x = -400

x = 16 ounces

y = 40 - 16

y = 24 ounces          

Answer:

Answer CL  586 cm^2

Step-by-step explanation:

Hello.  It's pi, not pie.

The area of the triangle is A1 = (1/2)(base)(height) = (1/2)(18 cm)(7 cm), or

A1 = 63 cm^2.

The area of the rectangle is A2 = (base)(height) = (18 cm)(22 cm) = 396 cm^2.

The area of the semicircle is A3 = (1/2)(pi)(9 cm)^2 = 3.14(81 cm^2)(1/2) = 127 cm^2

Thus, the total area of the figure is A = 127 cm^2 + 396 cm^2 + 63 cm^2, or

586 cm^2 approximately.

please see the attached picture for full solution...

Hope it helps...

Good luck on your assignment....

Answer:

unanswerable,don't censore the question

Step-by-step explanation:

sorry pal

Answer:

n is the seventh term=5832

Step-by-step explanation:

a1=8

r=3

a(n)=a1*r^(n-1)=

an=8*3(n-1)

8+24+72+216+648+1944+5832=8744

Answer:

D.  {3, 5, 7}.

Step-by-step explanation:

The range is the set of output values.

It's {3, 5, 7}.

The range of the set ={1,2,3,4,5} is option D which is {3,5,7}.

The range of a set is the values which are coming when we put the values of a set  in a function.

We are given the diagram in which the values are 1,2,3,4,5 from which arrows touching 3,5,6. So the domain of the function is 1,2,3,4,5 and the range is 3,5,7.

Hence the range of the set is option D which is {3,5,7}.

Learn more about range at https://brainly.com/question/2264373

#SPJ2

Answer:

3x+13

Step-by-step explanation:

Perimeter of square = 4 * length

Length = Perimeter/4

Length = (12x + 52)/4

Length = 3x+13

Answer:

Step-by-step explanation:

[tex]4(5x+7)/2+5x\\\\\frac{20x+28}{2} +5x\\Simplify\\ 10x +14+5x\\10x+5x+14\\15x+14[/tex]

Answer:

y≤ 2/3x+1/5

Step-by-step explanation:

y≤ 2/3x+1/5

Answer:

The side length is 2 cm

Step-by-step explanation:

The volume of a cube is s^3

V = s^3

8 = s^3

Take the cube root of each side

8 ^ 1/3 = s^3 ^ 1/3

2 = s

The side length is 2 cm

Answer:

2 cm

Step-by-step explanation:

The volume of a cube can be found using the following formula:

V=s^3

where s is the length of one side. We know the volume is 8 cm^3, therefore we can substitute that value in for V.

8 cm^3=s^3

We want to find what the side length is. The side length is being cubed. The inverse of a cube is the cube root. Therefore, we must take the cube root of both sides, or raise both sides to the power of 1/3.

(8 cm^3)^1/3=(s^3)^1/3

(8 cm^3)^1/3=s

2 cm=s

The length of one side is 2 centimeters.

Answer: 3/10

Step-by-step explanation:

Equations:

m = d + 35

When girl is 15, mom is 35+15 = 50

Ans: girl = (15/50) = 3/10 of the mother's age.

Answer: x = - 10

Step-by-step explanation:

a) Linear Pair: 138 + ∠a = 180°     --> ∠a = 42°

b) Triangle Sum Theorem: ∠a + 2∠b = 180°   --> ∠b = 69°

c) Vertical Angles Theorem: ∠b = ∠c     --> ∠c = 69°

d) Congruent sides implies congruent angles: ∠c = ∠d   --> ∠d = 69°

∠2) Triangle Sum Theorem: ∠c + ∠d + ∠2 = 180°

                                            69° + 69° + ∠2 = 180°

                                                               ∠2 = 42

x) m∠2 = 42

  x + 52 = 42

  x          = -10

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

Explanation:

For the x value x = 3, the observed y value is y = 6 which is from the point (3,6).

The predicted y value is found by plugging x = 3 into the line of best fit equation

y = 5x-2.5

y = 5(3)-2.5

y = 12.5

The residual is the difference between the two y values

e = residual

e = (observed y value) - (predicted y value)

e = 6 - 12.5

e = -6.5

The negative residual tells us the observed y value is smaller than the predicted y value for this given x value.

Answer:

[tex]x=70[/tex]

Step-by-step explanation:

We know that the car travels at speed [tex]x+30[/tex] per hour. Thus, after [tex]h[/tex] hours, it will have traveled [tex]h(x+30)[/tex] kilometres.

We are given that it traveled 300 kilometres after 3 hours. So, we have...

[tex]300=3(x+30)[/tex]

[tex]100=x+30[/tex]

[tex]x=70[/tex]

Answer:

In 2013 there were approximately 2.2 million cars for sale.

Step-by-step explanation:

Since the number of cars is decreasing by 23% per year, it is a decay model. This types of decay can be expressed in the following expression:

[tex]cars(x) = cars(2007)*(1 - 0.23)^{x - 2007}[/tex]

Where x is the year, cars(2007) is the number of cars in 2007. Applying this data we have:

[tex]cars(x) = 8.14*(0.77)^{x - 2007}[/tex]

If we want to know the number of cars in 2013, we need to apply that value to x and solve the expression.

[tex]cars(2013) = 8.14*(0.77)^{2013 - 2007}\\cars(2013) = 8.14*(0.77)^{5} = 2.20332[/tex]

In 2013 there were approximately 2.2 million cars for sale.

Answer:

[tex]\frac{3}{11}[/tex]

Step-by-step explanation:

=> [tex]\frac{6+(-5-7)}{2-8(3)}[/tex]

=> [tex]\frac{6+(-12)}{2-24}[/tex]

=> [tex]\frac{6-12}{-22}[/tex]

=> [tex]\frac{-6}{-22}[/tex]

=> [tex]\frac{3}{11}[/tex]

Step-by-step explanation:

he is talking about the edg question so for the 4 answers its A subtract 7 from-5 B multiply 8 and 3 C devide 7 by 2 D add 6 and -5

Answer:

42x48

Step-by-step explanation:

Answer:

the correct answer is

Step-by-step explanation:

= 12 1/2 - (-4 1/2)

=17

hope this helps you!!!!!

Answer:

17

Step-by-step explanation:

12 1/2 - (-4 1/2)

Turn to improper fractions.

25/2 - (-9/2)

Negative times negative is positive.

25/2 + 9/2

Add fractions with common denominators.

34/2

Divide.

= 17

Answer:

Check the attachment below!

Answer:

2/6 or 1/3

Step-by-step explanation:

There are two numbers who are equal or less than 2 its 1 and 2

And the total is 6 so its 2/6 which is 1/3

Sorry if this is late

Answer:

0.33

Step-by-step explanation:

Answer:

8n+7

Step-by-step explanation: