Jada cuts a strip of paper into 5 equal parts. Each part is 7/5 inches long. How long was the strip of paper?

Answer:

1,700

Step-by-step explanation:

5x10^-7 is 0.0000005, while 8.5x10^-4 is 0.00085

0.00085/0.0000005=1700

Thus5 x [tex]10^{-7}[/tex] is 1700 times smaller than  8.5 x [tex]10^{-4}[/tex].

Option C is the correct answer.

Given,

5 x [tex]10^{-7}[/tex] and 8.5 x [tex]10^{-4}[/tex]

We need to find how many times smaller is 5 x [tex]10^{-7}[/tex] than 8.5 x [tex]10^{-4}[/tex].

Exponents are the power of a given number.

Example: a²

a - base

2 - exponent

Compare 5 x [tex]10^{-7}[/tex] and 8.5 x [tex]10^{-4}[/tex].

5 x [tex]10^{-7}[/tex]  can be written as 5 / 10000000

8.5 x [tex]10^{-4}[/tex] can be written as 8.5 / 10000

Now,

5 / 10000000 = 0.0000005

8.5 / 10000 = 85 / 100000 = 0.00085

We see that,

0.0000005 is less than 0.00085

Now,

0.0000005 x 1700 = 0.00085

5 x [tex]10^{-7}[/tex] is 1700 times smaller than  8.5 x [tex]10^{-4}[/tex].

We can also write as:

5 x [tex]10^{-7}[/tex] x 17 x 10 ²  

= 5 x 17 x [tex]10^{-7}[/tex] x 10²

= 85 x [tex]10^{-7 + 2}[/tex]

= 85 x [tex]10^{-5}[/tex]

= 85/10 x 10 x [tex]10^{-5}[/tex]

= 8.5 x [tex]10^{-5 + 1}[/tex]

= 8.5 x [tex]10^{-4}[/tex]

Thus 5 x [tex]10^{-7}[/tex] is 1700 times smaller than  8.5 x [tex]10^{-4}[/tex].

Learn more about finding comparing numbers with exponents here:

https://brainly.com/question/28348874

#SPJ2

The probability of selecting number 4 or smaller numbers 2 / 5 .

Probability of event to happen P(E) = variety of favourable outcomes/Total variety of outcomes

We have given number from 1 to 10.

The number which are smaller than four and equal to 4 = 4

Total number of outcomes = 10

Probability = 4 /10

                 = 2 / 5

Learn more about probability here :

https://brainly.com/question/251701

#SPJ9

1) La piscina grande tardó 8 horas en ser vaciado, culminando a las 4: 10 PM, y la piscina pequeña tardó 5 horas y 20 minutos en ser vaciado, culminando a las 1: 30 PM.

2) La piscina grande tardará 2 horas y 40 minutos más en vaciarse que la piscina pequeña.

En este problema tenemos el caso de dos piscinas de diferente capacidad, la primera piscina tiene una capacidad de 240 000 litros de agua y la segunda piscina tiene una capacidad de 160 000 litros de agua. Ambas cuenta con un desagüe que desaloja a una tasa de 500 litros de agua por cada minuto de operación.

El tiempo total de vaciado es igual a volumen de la piscina dividido por la tasa de vaciado, entonces:

Piscina grande (V = 240 000 L, Q = 500 L / min)

t = V / Q

t = (240 000 L) / (500 L / min)

t = 480 min

Piscina pequeño (V = 160 000 L, Q = 500 L / min)

t = V / Q

t = (160 000 L) / (500 L / min)

t = 320 min

1) La piscina grande tardó 8 horas en ser vaciado, culminando a las 4: 10 PM, y la piscina pequeña tardó 5 horas y 20 minutos en ser vaciado, culminando a las 1: 30 PM.

2) La piscina grande tardará 2 horas y 40 minutos más en vaciarse que la piscina pequeña.

Para aprender más sobre procesos de llenado y vaciado: https://brainly.com/question/25696331

#SPJ1

Answer:

2/11

Step-by-step explanation:

since the square root of 4 is 2 and that of 121 is 11

The amount of time he spent on bicycle is 4.5 hours.

Given Jim began a 145 mile bicycle trip.

The whole trip took 7 hours.

Jim walks at a rate of 4 miles per hour  and rides at 30 miles per hour.

speed = distance / time

time = distance / speed

ride:

d = distance ridden

t = d/30 (given from the problem)

walk:

t = (145 - d)/4 (given from problem)

total trip time:

7 = d/30 + (145 - d)/4.

7 = 4d/120 + 30(145 - d)/120

7×120 = 4d + 30(145 - d)

840= 4d +4350-30d

840 ₋ 4350 = ₋30d ₊ 4d

₋3510 = ₋26d

d = 3510/26

d = 135

d=135 then from here using the formula t = d / s we can solve

t=135/30 = 4.5 hours

hence the amount of time Jim spent on the bicycle is 4.5 hours.

Learn more about Speed, time and distance here:

https://brainly.com/question/17146782

#SPJ9

Answer:

7)B

8)B

9)A

10)C

Step-by-step explanation:

LET ME KNOW IF THIS HELPS.

Answer:

The solutions are

(-2.8, -2.4)   and

(1.8, 11.4)

- to the nearest tenth.

Step-by-step explanation:

x² + 4x + 1 = 3x+6

x² + 4x - 3x + 1 - 6 = 0

x² + x - 5 = 0

Using the quadratic formula:

x = [-1 +/- √((1)² - 4*1*(-5)] / 2

   = (-1 - 4.583) / 2 ,  (-1 + 4.583) / 2

   = -2.791, 1.792.

Substituting for x in the equation:

y = -2.374, 11.374.

The value 8 x 10^5 is 200 times greater than 4 x 10^3

The standard scientific notation is expressed as A * 10^n

where

A is the values between 1 and 10

n is any integer

In order to determine how many times larger is 8 x 10^5 than 4 x 10^3, we will take the ratio;

Ratio = 8 x 10^5/4 * 10^3

Ratio = 8/4 * 10^5/10^3

Ratio = 2 * 10^2

Ratio = 200

Hence the value 8 x 10^5 is 200 times greater than 4 x 10^3

Learn more on scientific notation here; https://brainly.com/question/1767229

#SPJ1

Answer:

Step-by-step explanation:

83.9

Slopes vs. gradients vs. % grades

Slope

Angle (degrees) Gradient Grade (%)

40 1 83.9

41 1 86.9

42 1 90.0

The answer is 18 months as per the asked question and visible graph

Step-by-step explanation:

Find $900 and follow the horizontal line until it touches the red tilted line

As soon as it touches the red line, go down vertically and find where the line leads you and voila, it leads you to 18 months!

The position of town B in cartesian plane is 6.4 cm in 1st quadrant at an angle of 70°.

As per the question statement, we are given that a diagram which shows the position of town A and the scale of 1 cm representing 10 km.

Town B is 64 km from town A on a bearing of 070°. We are supposed to tell the position of town B.

Let's assume that town A lies at origin in cartesian plane and as 1 cm represents 10 km therefore,

[tex]1cm = 10 km\\1 km = 0.1 cm\\64 km = 64*0.1=6.4 cm[/tex]

The town B is 6.4 cm from the origin and as the angle is given as  70° so the position of town B is in 1st quadrant.

Therefore the position of town B is 6.4 cm in 1st quadrant at an angle of 70° when town A lies at origin in the cartesian plane.

To know more about cartesian plane, click on the link given below:

https://brainly.com/question/27927590

#SPJ9

Answer:

x<0: 0<x<1; x>1

Step-by-step explanation:

The denominator cannot be 0 (since division by 0 is undefined), meaning x cannot be 0 or 1.

So, the domain is x<0: 0<x<1; x>1.

Answer: Parentheses

Step-by-step explanation: Parentheses always go first because if you look at the work PEMDAS, P= parentheses, E= exponents, M= Multiplication, D= division, A= addition, and S= subtraction.

Answer:

0.01

Step-by-step explanation:

Nearest hundredth is the second digit after the decimal point.

If the digit after hundredth is greater than or equal to 5, add 1 to hundredth. Else remove the digit.

Answer:

49

Step-by-step explanation:

The total number of holes will be (a)15 and (b) 4 when the drilling machine is used whose standard deviation is 0.0028mm.

The square root of the variance is used to calculate the standard deviation, a statistic that expresses how widely distributed a dataset is in relation to its mean.

The sum of all values divided by the total number of values constitutes a dataset's mean.

The mean of the holes are given as 4.05 mm([tex]\mu=4.08[/tex])

The standard deviation is given as 0.0028 mm([tex]\rho=0.0028[/tex])

Now we will use the z-score and probability distribution to calculate the frequency of the holes to have diameter between 4.048 and 4.0553.

Here [tex]Pr(4.048\leq X\leq 4.0053)[/tex] ,so we need to compute the z-values

[tex]Z_1=\frac{X_1-\mu}{\rho} \\Z_1=\frac{4.048-4.05}{0.0028} \\Z_1=-0.7143[/tex]

Similarly:

[tex]Z_2=1.8929[/tex]

Therefore from the above statements we can say that

[tex]Pr(-0.7143\leq X\leq 1.8929)[/tex]

Solving for probability distribution we get

[tex]Pr(4.048\leq X\leq 4.0053)=0.7333[/tex]

Total number of holes=0.7333 × 20= 14.666..

Therefore the number of holes is 15

Similarly

The z-value corresponding to 4.052 mm is given by 0.71

The z-value corresponding to 4.056 mm is given by:2.14

The probability of the diameter being between 4.052 mm and 4.056 mm is 0.4838 – 0.2611 =0.2227

The number likely to have a diameter between 4.052 mm and 4.056 mm = 0.2227 × 20

= 4.454

= 4, correct to nearest whole number

To learn more about standard deviation:

https://brainly.com/question/24298037

#SPJ9

The equivalent form of the compound inequality where the compound inequality is given as  -22 > -5x - 7 ≥ -3 is -15 > -5x  ≥ 4

The compound inequality is given as

-22 > -5x - 7 ≥ -3

Add 7 to all sides of the compound inequality

So, we have

7 -22 > -5x - 7 + 7 ≥ -3 + 7

Evaluate the sum in the above compound inequality

So, we have

-15 > -5x  ≥ 4

Hence, the equivalent form of the compound inequality where the compound inequality is given as  -22 > -5x - 7 ≥ -3 is -15 > -5x  ≥ 4

Read more about compound inequality at

https://brainly.com/question/25275758

#SPJ1

The amount of money Nancy has is $12.5.

Given that, Steve has $5. Nancy has 250% as much money as Steve.

We need to find out how much money Nancy has.

A specific portion or amount in every hundred is what is meant by the term percentage. It is a fraction with the denominator 100, and the symbol for it is "%."

Let the amount of money Nancy has to be x.

Now, x=250% of 5

=250/100 × 5

=2.5 × 5

=12.5

Therefore, the amount of money Nancy has is $12.5.

To learn more about the percentage visit:

https://brainly.com/question/24159063.

#SPJ1

The number of pounds of cashews should be mixed with the peanuts to ensure no change in the​ revenue is; 360 pounds

Let the number of pounds of cashews be x.

Now, we are told that A nut store normally sells cashews for​ $4.00 per pound. Thus;

Cost of x pounds of cashews = $4x

He wants to mix the above with 90 pounds of peanuts and sell the mixture for $3.5 per pound. Thus, the equation here is;

((90 * 1.5) + (4x))/(x + 90) = 3.5

135 + 4x = 3.5(x + 90)

135 + 4x = 3.5x + 315

4x - 3.5x = 315 - 135

0.5x = 180

x = 180/0.5

x = 360 pounds of peanuts

Read more about Algebra Word Problems at; https://brainly.com/question/13818690

#SPJ1

The possible rectangle's length and width are A) 1 cm and 15 cm and C) 3 cm and 5 cm

The given parameters are

Area = 15 square cm

The area is given as

Area = 15 square cm

The formula of area is

Area = Length x Width

Using the above formula, we have:

A) 1 cm and 15 cm ⇒ 15 square cm

B) 2 cm and 7 cm ⇒ 14 square cm

C) 3 cm and 5 cm ⇒ 15 square cm

D) 4 cm and 4 cm ⇒ 16 square cm

Hence, the possible rectangle's length and width are A) 1 cm and 15 cm and C) 3 cm and 5 cm

Read more about area at:

https://brainly.com/question/17335144

#SPJ1

Possible question

The area of a rectangle is 15 square cm

Which of the following could be the rectangle's length and width?

(Area = length x width)

Choose all answers that apply:

A) 1 cm and 15 cm

B) 2 cm and 7 cm

C) 3 cm and 5 cm

D) 4 cm and 4 cm

Answer:

Negative 2/9 I believe

Step-by-step explanation:

sorry if i am wrong

Answer:

-2/9

Step-by-step explanation:

-16/72

Simplify

We can divide the top and bottom by 8

16 divided by 8 = 2

72 divided by 8 = 9

-2/9

Answer: total household present are 136

Step-by-step explanation:

Given:

82.1% of Cincinnati households have a computer.

111.804 households in Cincinnati have a computer.

According to ratio and proportions we have:

let total number of houses be x;

then

(111.804/x)*100=percentage of Cincinnati households having  a computer.    [[tex]gain/total*100 =gain %[/tex]]

then

(111.804/x)*100=82.1

cross multiplying we have

x=(111.804*100)/82.1

x=136 households  (Round to the nearest whole number.)

so total household present are 136

Learn more about ratio and proportions here

https://brainly.com/question/28501714

#SPJ9

The value of c is 4.

Here, we are given an equation

2c - 12c + 13c = 12

Since, all the terms on the left hand side have a c in them, we can take it common outside the bracket as follows-

c (2 - 12 + 13) = 12

or c (2 + 13 - 12) = 12

Firstly, we add the positive terms in the bracket which will give us

c (15 -12) = 12

Now, we subtract 12 from 15 to get

c (3) = 12

or 3c = 12

Dividing by 3 on both sides we get

c = 12/3

c = 4

Thus, the value of c is 4.

Learn more about linear equations here-

https://brainly.com/question/13729904

#SPJ9

Your question was incomplete. Find the full content below-

Solve for c.

2c-12c+13c=12

Answer:

The answer would be m.

Step-by-step explanation:

The point would be (7,1)  If you look at the top two points, (3,5) and (10,5)  You can see that the y coordinates are the same.  They are both 5.  So on the bottom left (0,1) we know that are n will be 1 .  Now we have to figure out m.  If we look on the top (3,5) (10,5)  We can see from the x's 10 and 3, that they are a distance of 7 apart.  Since our bottom left hand corner is (0,1)  If we add 7 to 0 we get 7.  That makes m equal  7

0.3 tonnne=300 kilograms

In the given question mass is given in tonne and we have to convert it into tonne.

Among the SI base units, the kilogram (kg) is the only one whose name and symbol, for historical reasons, include a prefix. "Kilo" the SI prefix for 1000 or 103. Names and symbols for decimal multiples and submultiples of the unit of mass are formed by attaching prefix names to the unit name "gram," and prefix symbols to the unit symbol "g."

To calculate a tonne value to the corresponding value in kg, just multiply the quantity in tonne by 1000 (the conversion factor). Here is the formula:

Value in kg = value in tonne × 1000

Suppose you want to convert 0.3 tonne into kg. Using the conversion formula above, you will get:

Value in kg = 0.3 × 1000 = 300 kg

final answer is 0.3 tonne=300 kilograms.

learn more about units of mass here https://brainly.com/question/489186

#SPJ9

Answer:

y = 7

Step-by-step explanation:

3y + (y+1) + (4y-3) = 54

3y + y + 4y + 1 - 3 = 54

8y - 2 = 54

8y = 54 + 2

8y = 56

y = 56/8

y = 7

Check:

3*7 + (7+1) + ((4*7)-3) = 54

21 + 8 + 28-3 = 54

29 + 25 = 54

Answer: 28,5 grams of cocoa

Step-by-step explanation:

[tex]\frac{62*46}{100}[/tex]