Find the unit rates (pages per day) for Deon and Emily. Who read faster?
Deon: 36 pages in 3 days
Emily: 45 pages in 5 days
36 pages
3 days
?
pages per day
45 pages
5 days
?
pages per day
Deon read
pages per day than Emily.​

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:

Circumference of the smaller circle = 2.1x units

Step-by-step explanation:

Given question is incomplete; here is the complete question.

Two similar circles are shown. The circumference of the larger circle, with radius OB, is 3 times the circumference of the smaller circle, with radius OA. Radius OB measures x units. Which expression represents the circumference of the smaller circle with radius OA ?

Radius of the larger circle OB = x units

Radius of the smaller circle OA = y units

Circumference of larger circle = 2πx units

Circumference of smaller circle = 2πy units

Since circumference of larger circle is 3 times the circumference of smaller circle,

2πx = 3(2πy)

2πx = 6πy

x = 3y

y = [tex]\frac{x}{3}[/tex]

Therefore, circumference of the smaller circle = [tex]2\pi (\frac{x}{3})[/tex] units

                                                                             = [tex]\frac{2\pi x}{3}[/tex] units

                                                                             = 2.094x

                                                                             ≈ 2.1x

Circumference of the smaller circle circle = 2.1x units

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:

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:

( 2,3 )

x =2 , y = 3

Step-by-step explanation:

In elimination method of solving linear equation, steps are involved to eliminate one of the variables so that value of other can be deduced.

In this method we either subtract or add one of the variable which has the same coefficient in the both of the equation, so that it can be removed from equation.

___________________________________________________

Given system of linear equation

3x − 2y = 0    (1)

2x + y = 7    (2)

Let eliminate y to find x

as we can see equation has 1 as coefficient for y but in equation 2 y has coefficient as 1.

In order to make coefficient of y same as 2, we multiply LHS and RHS of equation 2 with 2.

( 2x + y )*2= 7 *2

=>2x *2+ y*2= 7 *2

=> 4x + 2y = 14    let it be equation 3

Adding equation 1 and 3

 3x − 2y = 0  

+4x  + 2y = 14

_____________________________  -2 y + 2y = 0 (y gets eliminated)

7x = 14

=> x = 14/7 = 2

Thus, x = 2

using x = 2 in 2x + y = 2

2*2 + y= 7

=> 4 + y = 7

=> y = 7 - 4 = 3

\

Thus, The solution to the system is ( 2,3 ).

Answer:

Here are the steps

Step-by-step explanation:

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:

-72

Step-by-step explanation:

-32 + (2-6)(10).

PEMDAS

parentheses first

-32 + -4*10

Then multiply

-32 -40

Then subtract

-72

Answer:

-49

Step-by-step explanation:

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:

58cm

Step-by-step explanation:

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: The expression is (c-7) / 3

Step-by-step explanation:

Let's say Adam has c pieces of candy

He took seven pieces for himself which means we can write this as c-7

He then divided this amount between his 3 children (c-7)/3

Answer:

y≤ 2/3x+1/5

Step-by-step explanation:

y≤ 2/3x+1/5

Answer:

f(x) = 3.56(2.04)^x

Step-by-step explanation:

Put x as 2, to see whether the output will be close to 16.

116.4 - 42.8 ln(2) = 86.733301

2.04(3.56)^2 = 25.854144

3.56(2.04)^2 = 14.815296

-42.8 + 116.4 ln(2) = 37.882332

Put x as 3, to see whether the output will be close to 30.

116.4 - 42.8 ln(3) =69.379394

2.04(3.56)^3 = 92.040753

3.56(2.04)^3 = 30.223204

-42.8 + 116.4 ln(3) = 85.07847

Put x as 6, to see whether the output will be close to 271.

116.4 - 42.8 ln(6) = 39.712695

2.04(3.56)^6 = 4152.69615

3.56(2.04)^6 = 256.584846

-42.8 + 116.4 ln(6) = 165.760802

Put x as 7, to see whether the output will be close to 522.

116.4 - 42.8 ln(7) = 33.115046

2.04(3.56)^7 = 14783.598295

3.56(2.04)^7 = 523.433085

-42.8 + 116.4 ln(7) = 183.703941

The exponential function that models the data is f(x) = 3.56(2.04)^x.

Answer:

3x+13

Step-by-step explanation:

Perimeter of square = 4 * length

Length = Perimeter/4

Length = (12x + 52)/4

Length = 3x+13

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:

V = 4.84 × 10⁷ km³

Step-by-step explanation:

Volume of Sphere = [tex]\frac{4}{3}\pi r^3[/tex]

Where r = 3400 km

V = [tex]\frac{4}{3} (3.14)(3400)^3[/tex]

V = (4)(3.14)(11,560,000)/3

V = 48,422,415 km³

Upto 3 sfs:

V = 4.84 × 10⁷ km³

Answer: 192 in²

Step-by-step explanation:

The area of a rectangle is to multiply the length and the width, or the base and height. Since we are given the base and the height, we can multiply them to find the area. Since the units are different between the height and base, we need to make sure to have the height be 48 in.

A=4×48=192 in²

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: 24 square units

Step-by-step explanation:

The Area of a trapezoid is:

1/2 (a + b) h

Where ;

a = Length of base 1

b = length of base 2

h = height of trapezium

From the diagram attached :

a = Length of BC =(-1 to 3) =4units

b = length of AD =(-3 to 5) = 8 units

h = (-2 to 2) = 4 units

Plugging the values :

Area = 1/2 ((4 + 8)2)

Area = 0.5 × (12) × 4 = 12

Area = 6 × 4 = 24square units

Answer:

d)   24.2 cm²

Area of equilateral triangle  A = 24.22 cm²

Step-by-step explanation:

Step(i):-

Perimeter of equilateral triangle  = 3 a

Given  Perimeter of equilateral triangle  = 22.45 cm

   now   3 a = 22.45

  Dividing '3' on both sides,we get

             a = 7.48 cm

Step(ii):-

Area of equilateral triangle

                                  [tex]A = \frac{\sqrt{3} a^{2} }{4}[/tex]

                                   [tex]A = \frac{\sqrt{3} (7.48)^{2} }{4}[/tex]

                                  A = 24.22 cm²

Conclusion:-

Area of equilateral triangle  A = 24.22 cm²

Answer:

The answer is 24.2

Step-by-step explanation:

on edg. 2020

This question is incomplete because it lacks the appropriate options

Complete Question

Triangle ABC has the angle measures shown. Measure of angle A = (2 x) degrees. Measure of angle B = (5 x) degrees. Measure of angle C = (11 x) degrees.

Which statement is true about the angles?

a) Measure of angle A = 20 degrees

b) Measure of angle B = 60 degrees

c) Angle A and Angle B are complementary

d) Measure of angle A + measure of angle C = 100 degrees

Answer:

a) Measure of angle A = 20 degrees

Step-by-step explanation:

It is known that the sum of angles in a triangles = 180°

We are given these values in the question

Triangle ABC has the angle measures shown. Measure of angle A = (2 x) degrees. Measure of angle B = (5 x) degrees. Measure of angle C = (11 x) degrees.

Therefore,

Angle A + Angle B + Angle C = 180°

2x + 5x + 11x = 180°

18x = 180°

x = 180°/ 18

x = 10°

Finding each of the angles

Angle A = 2x = 2 × 10 = 20°

Angle B = 5x = 5 × 10 = 50°

Angle C = 11x = 11 × 10 = 110°

Therefore, the correct option is:

a) Measure of angle A = 20 degrees

The true statement is required.

The true statement is that [tex]m\angle A=10^{\circ}[/tex]

[tex]\angle A=2x[/tex]

[tex]\angle B=5x[/tex]

[tex]\angle C=11x[/tex]

The sum of the angles in a triangle is [tex]180^{\circ}[/tex]

So

[tex]\angle A+\angle B+\angle C=180\\\Rightarrow 2x+5x+11x=180\\\Rightarrow 18x=180\\\Rightarrow x=\dfrac{180}{18}\\\Rightarrow x=10[/tex]

[tex]\angle A=2x=2\times10\\\Rightarrow \angle A=10^{\circ}[/tex]

The true statement is that [tex]m\angle A=10^{\circ}[/tex]

Learn more:

https://brainly.com/question/22295017?referrer=searchResults

Answer:

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Since the y-int. is 2 we know that the coefficient of the exponential term is 2, which eliminates B and D. Since f(x) decreases from left to right, the number in the parentheses has to be less than 1, so the answer is f(x) = 2 * (0.25)^x.

Answer: C.f(x)=2•(0.25)^x

Step-by-step explanation: took the quiz

Hey there! :)

Answer:

First option: As x⇒ ∞ f(x) ⇒ -∞.  As x⇒ -∞ f(x) ⇒ ∞.

Step-by-step explanation:

Rearrange the equation:

f(x) = -x³ - 2x² + 1

This is a negative cubic function. The function decreases over the interval

(-∞, ∞). Therefore:

As x⇒ ∞ f(x) ⇒ -∞.

As x⇒ -∞ f(x) ⇒ ∞.

This is the first option.

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:

8n+7

Step-by-step explanation:

Answer :

Los dos debe y le deben porgue son diffirentes personas. Cuando le pagen los tres Ana, 'daniela y Pedro puede pagarle a Luis, Jose y Juan

Step-by-step explanation:

Juan debe un total de  $43 a Luis, Jose y  Juan

Ana, Daniela y Pedro  le deben  a Juan  un total de $43  

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

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