Question 1 The number of books Annie reads in a month increased from 8 books to 16 books. By what percentage did the number of books she reads increase ?
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Answer:

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Step-by-step explanation:

Answer: Width would become 21 and length would become 33. Original perimeter is 100, increased perimeter is 108 which is a 7.69% increase

[tex]\tt Step-by-step~explanation:[/tex]

To solve for n, we have to isolate n. To do so, we move all the terms that are not n to one side of the equation, and leave n on the other side.

[tex]\tt Steps:[/tex]

Equation: n + 5/16 = -1

Subtract 5/16 on both sides to bring it to the right side of the equation.

[tex]\tt n+5/16-5/16=-1-5/16\\\\n=-\frac{21}{16}~or~-1\frac{5}{16}[/tex]

[tex]\Large\boxed{\tt Our~final~answer:~n=-\frac{21}{16}~or~-1\frac{5}{16} }[/tex]

Answer: 2

Step-by-step explanation: 4/2=2

Answer:

Step-by-step explanation:

500,000+0+900+60+9

One possible solution from the graph is selling 3 bags of popcorn and 4 bags of pretzel

Inequality is the non equal comparison of two or more variables and numbers.

Let x represents the number of bags of popcorn purchased and y represents the number of pretzels purchased.

Hence:

8x + 5y ≤ 45   (1)

Also:

x + y > 6   (2)

One possible solution from the graph is (3, 4)

Find out more on inequality at: https://brainly.com/question/24372553

Answer:

75%

Step-by-step explanation:

20-5=15 - change in numbers

15/20×100%= 75%

Answer:

I am not certain but it's either the last one or second to last my bet is -4<x<4 but you can try I am not certain tho

Answer:

please mark me as brainlist

Answer:

180-112=68

Step-by-step explanation:

Answer:

t = 8/5

Step-by-step explanation:

I'm assuming the equation given is the velocity of the particle

Derive the equation

[tex]5t^4 - 8t^3[/tex]

Set it equal to 0 & solve for t

[tex]0 = 5t^4 - 8t^3\\8t^3 = 5t^4\\8 = 5t\\\frac{8}{5} = t[/tex]

The value of time at which acceleration is zero is required.

The required value of [tex]t=1.2\ \text{s}[/tex]

The function of motion is

[tex]s=(t)^5-2t^4[/tex]

Differentiating with time we get velocity

[tex]s'=5t^4-8t^3[/tex]

Again differentiating with time we get acceleration

[tex]s''=20t^3-24t^2[/tex]

Now acceleration [tex]s''=0[/tex]

[tex]0=20t^3-24t^2\\\Rightarrow 20t^3=24t^2\\\Rightarrow t=\dfrac{24}{20}\\\Rightarrow t=1.2\ \text{s}[/tex]

Learn more:

https://brainly.com/question/10717492

https://brainly.com/question/16053751

Answer:

x  = 1,77 in

Step-by-step explanation:

Total volume of molten plastic to make  a block is

1 [gal] - 1 L (lost in the process)  =  3,7854 - 1  =  2,7854

Now the volume of the block is:

1 foot  * 8 inches * x ( thick of the block )

1 foot is 0,3048 meter  and 1 inch is 0,0254 meter

Then  in m³  the volume of the block is

0,3048 * 8 * 0,0254 * x  =  0,06193536 * x  [ m³ ]

That volume should be equal to  2,7854 / 1000

Therefore

 0,06193536 * x  = 2,7854 / 1000        x in m³

x = 2,7854 /61,93536  m

x  =  0,044972  m      and    1 m  =  39,37 in

x  = 1,77 in

Answer:

.2427

Step-by-step explanation:

If you don't need to show your work:

TI84 calculator:[2nd][vars][normalcdf][lower:2000][upper:2500][μ:1800][σ:300}[enter][enter]

Answer:

you answered it

Step-by-step explanation:

you put no blah blah blah

Answer:

[tex]t=\dfrac{9\pm 3}{6}[/tex]

[tex]1\ \text{hour}[/tex]

[tex]2\ \text{hour}[/tex]

Step-by-step explanation:

s = Speed of Emile = 6 miles/hour

d = Distance traveled by Emile = [tex](9\pm 3)\ \text{miles}[/tex]

Time taken to find the minimum and maximum time Emile ran for is

[tex]t=\dfrac{d}{s}\\\Rightarrow t=\dfrac{9\pm 3}{6}[/tex]

The required equation is [tex]t=\dfrac{9\pm 3}{6}[/tex]

The time taken is

[tex]t=\dfrac{9-3}{6}\\\Rightarrow t=\dfrac{6}{6}\\\Rightarrow t=1\ \text{hour}[/tex]

The minimum number of hours Emile runs is 1 hour.

[tex]t=\dfrac{9+3}{6}\\\Rightarrow t=\dfrac{12}{6}\\\Rightarrow t=2\ \text{hour}[/tex]

The maximum number of hours Emile runs is [tex]2\ \text{hour}[/tex].

Answer:

|6x – 9| = 3

1 Hour

2 Hours

Step-by-step explanation:

The equation that can be used to find the minimum and maximum time (in hours) Emile runs is_|6x – 9|= 3_. For each practice run, the minimum number of hours Emile runs is__1 hour_ and the maximum number of hours he runs is _2 hour.

Answer:

55 mph

Step-by-step explanation:

Assuming that

v = velocity of the plane in still air,

w = velocity of the wind.

We are given that v = 360 mi/hr.

Using the equation

x = vt

where

x is the distance an object travels

v is the speed of the object

t is the time taken

While the plane is flying downwind, the velocity becomes v + w. On the other hand, if it is flying upwind, the velocity becomes v - w.

For a particular time t = T, distance traveled x = 210 mi at downwind, and x = 150 mi at upwind.

Creating an equation from the two, we have

210 mi = (360 + w)T

150 mi = (360 - w)T

Solving for T, we have

T = 210/(360 + w)

T = 150/(360 - w)

And since T is the same in both cases, we say that

So, 210/(360 + w) = 150/(360 - w)

Or on rearranging,

(360 + w)/210 = (360 - w)/150

(360)(150) + 150w = (210)(360) - 210w

55800 + 150w = 75600 - 210w

360w = 19800

Therefore, the speed of the wind is 55 mile per hour

Answer:

130 degrees

Step-by-step explanation:

Answer:

130 degrees

Step-by-step explanation:

This is a supplementary angle (or whatever the term was for two or more angles that add together to get 180 degrees). There is a total of 7x and 5 degrees. So you would set up the equation 180= 7x+5. Use the properties of equality and subtract 5 from both sides getting 175= 7x. Use the division property of equality to isolate the variable. Divide by 7 to get 25=x. Now just substitute for x in 5x+5 getting 125+5= 130. Sorry if I did a bad job at explaining

Answer:

Step-by-step explanation:

Given the area of the square as A = 98ft²

The side length of the square will be equivalent to the diameter of the circle.

First we need to get the length of the square.

Area of a square = L^2

98 = L²

L = √98

L = 9.89 ft

Hence the diameter of the circle is 9.89 ft

radius = diameter/2

radius = 9.89/2

radius ≈ 4.95 feet

Hence the radius of the circle is approximately 4.95 feet

Answer:

What do you need to know?

Step-by-step explanation:

Answer:

a : b = 4 : 3

Step-by-step explanation:

(mark as brainlist answer)

According to the given condition is the question :

Two numbers a and b are such that the sum of 5% of a and 4% of b is two-third of the sum of 6% of a and 8% of b

⇒ (5% of a) + (4% of b) = (2/3) × [(6% of a) + (8% of b)

⇒ 0.05a + 0.04b = 2/3 × (0.06a + 0.08b)

⇒ 0.15a + 0.12b = 0.12a + 0.16b

⇒ 0.03a = 0.04b

⇒ a/b = 4/3

⇒ a : b = 4 : 3

Answer:

$2.5

Step-by-step explanation:

Multiply 4 friends by $6.75 and find the product.

Subtract $27 from $37

Divide 10 by 4

Answer: $2.5

Step-by-step explanation:

Multiply 4 friends by $6.75 and find the product.

Subtract $27 from $37

Divide 10 by 4

Answer:

Step-by-step explanation:

Let 'x' be the length of a rectangle

As the width of a rectangle is 5 units less than the length.

so

width of rectangle will be = w = x - 5 units

Area = 150 square units

Using the formula

Area = length × width

[tex]150=\left(x\right)\left(x-5\right)[/tex]

[tex]150=x^2-5x[/tex]

[tex]x^2-5x=150[/tex]

Subtract 50 from both sides

[tex]x^2-5x-150=150-150[/tex]

[tex]x^2-5x-150=0[/tex]

[tex]\left(x+10\right)\left(x-15\right)=0[/tex]

if

[tex]ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0\:\left(\mathrm{or\:both}\:a=0\:\mathrm{and}\:b=0\right)[/tex]

[tex]x+10=0\quad \mathrm{or}\quad \:x-15=0[/tex]

[tex]x=-10,\:x=15[/tex]

As length can not be negative. so

x = 15 units

Hence,

The length = x = 15 units

The width = x-5 = 15-5 = 10 units

Answer: A (-2,5)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Which tables give sets of values that satisfy the linear function y = 2x – 6

Answer:

Yes, the cost per order is a linear function of the number of copies you order (up to 100).

Step-by-step explanation:

Let;

y = Total cost of order from one copy up to 100 copies or dependent variable

a = Cost of 50 copies or fixed intercept

x = Cost of 51 copies or more up to 100 copies or dependent variable, i.e. 51 = x [tex]\leq[/tex] 100

b = Coefficient of x = 1 - Discount rate = 1 - 15% = 1 - 0.15 = 0.85

We can therefore represent have a function as follows:

y = a + bx ........................ (1)

Substituting b = 0.85 into equation (1), we have:

y = a + 0.85x ...................... (2)

Equation (2) implies that as b equal to 51 or more up to 100, y also increases. Equation (2) is therefore an example of linear function which will give an upward sloping straight line and can be rewritten as:

y = f(x) = a + 0.85x ................. (3)

Therefore, the cost per order is a linear function of the number of copies you order (up to 100).

1.25 or 5/4

Step-by-step explanation: