Becky read 10 books in 4 days.Sarah reads 50 books in 20 days. Are the two girls reading at the same rate

Answers

Answer 1
Yes,
10 x 5 = 50
4 x 5 = 20
They both have equal multiples.

Related Questions

What is 48 square feet in square meters

Answers

Answer: 4.45935

Step-by-step explanation: 1 Square foot (sqft) is equal to 0.09290304 square meter (sqm). For example, to convert 100 square feet to square meters, multiply 100 by 0.09290304, that makes 9.290304 sqm is 100 sqft. Hope this helps.

This is very urgent please tell me if the one that is highlighted all blue is correct or not left or right question,which is correct?

Answers

Answer:

right option

Step-by-step explanation:

RIIIIIGGGGGGGGGGGGGHHHHHTTTTT ONE

ME NEEDS SOME MORE HELP FOR QUESTION 2




also whoever answers this question first I will mark them the brainliest :3

Answers

Answer:

C is answer I think 0, because

Answer:

C.

Step-by-step explanation:

100%sure

Because -5 in front will equal a positive because you have a positive 0 in back therefore it will be C brainliest please!

A company that makes hair-care products had 7,000 people try a new shampoo. Of the 7,000 people, 56 had a
mild allergic reaction. What percent of the people had a mild allergic reaction?

Answers

Answer:

0.8

Step-by-step explanation:

i believe it would be 56/7000 and you multiply your answer 0.008 by 100 so 0.8 had a mild reaction

Answer:

0.8%

Step-by-step explanation:

Think of it as a fraction: 56/7,000. To get a percent you want to simplify the denominator to 100. Then what you do to the denominator, you must do to the numerator, so simplify 56 by the number you simplified 7,000 to get to 100. Then you will have your answer of 0.8%.

Last year Mr Peterson had a fence all the way around his garden. He can reuse all of the fence he had around the garden last year but he needs to buy more fencing to go around this years garden. How many more meters of fencing is needed for this years garden than last years?

Answers

Complete Question:

Last year Mr. Petersen’s rectangular garden had a width of 5 meters and an area of 20 square meters.  This year he wants to make the garden three times as long and two times as wide.  

Last year, Mr. Petersen had a fence all the way around his garden. He can reuse all of the fence he had around the garden last year, but he needs to buy more fencing to go around this year’s garden.  

How many more meters of fencing is needed for this year’s garden than last year’s?

Answer:

26 meters of fencing needed

Step-by-step explanation:

Given

Last Year:

[tex]Width = 5m[/tex]

[tex]Area = 20m^2[/tex]

This Year:

[tex]Length = 3\ times\ longer[/tex]

[tex]Width = 2\ times\ wider[/tex]

Required

Determine how many more meters is needed

Represent last year's length of Fence with L and last year's width with W

First, we need to calculate L

[tex]Area = L * W[/tex]

Where

[tex]Area = 20m^2[/tex]

[tex]W = 5m[/tex]

[tex]20m^2 = L * 5m[/tex]

Divide both sides by 5m

[tex]\frac{20m^2}{5m} = \frac{L * 5m}{5m}[/tex]

[tex]\frac{20m^2}{5m} = L[/tex]

[tex]L = \frac{20m^2}{5m}[/tex]

[tex]L = 4m[/tex]

So, we have that:

For Last Year

[tex]Length = 4m[/tex] and [tex]Width = 5m[/tex]

For this year:

[tex]Length = 3\ times\ longer[/tex]

[tex]Length = 3 * 4m[/tex]

[tex]Length = 12m[/tex]

[tex]Width = 2\ times\ wider[/tex]

[tex]Width = 2 * 5m[/tex]

[tex]Width = 10m[/tex]

So, for this year, we have:

[tex]Length = 12m[/tex] and [tex]Width = 10m[/tex]

Next, we calculate perimeter of fencing in both years.

[tex]Perimeter = 2 * (Length + Width)[/tex]

Last Year:

[tex]Perimeter = 2 * (4m + 5m)[/tex]

[tex]Perimeter = 2 * 9m[/tex]

[tex]Perimeter = 18m[/tex]

This Year:

[tex]Perimeter = 2 * (12m + 10m)[/tex]

[tex]Perimeter = 2 * 22m[/tex]

[tex]Perimeter = 44m[/tex]

To get the meters of fencing needed this year, we simply calculate the difference in the calculated perimeters.

[tex]Difference = 44m - 18m[/tex]

[tex]Difference = 26m[/tex]

Hence, there are 26 meters of fencing needed

The density D of an object is the quotient of its mass m and its volume v

Answers

To find Density you have to divided mass (grams)/volume (mL)

Find the equation of the line. The line is parallel to y=-6/7x +1 and passes through the point (-7, -3). The equation of the line is y=

Answers

Answer:

same slope but the y- intercept would be -9

-5(2× - 4)=2(x - 8) with work please :)​

Answers

Answer:

Step-by-step explanation:

−5(2)(−4)=2(x−8)

Simplify both sides of the equation.

−5(2)(−4)=2(x−8)

−5(2)(−4)=(2)(x)+(2)(−8)(Distribute)

40=2x+−16

40=2x−16

Step 2: Flip the equation.

2x−16=40

Step 3: Add 16 to both sides.

2x−16+16=40+16

2x=56

Step 4: Divide both sides by 2.

2x/2 = 56/2

x=28

Distribute the -5 to 2x and -4 which would be: -10x+20=2(x-8)
Then distribute the 2 to x and -8 which would be: -10x+20=2x-16
Subtract 20 from both sides:-10x+20=2x-16
-20. -20
10x= 2x-36
Subtract 2x from both sides: -10x=2x-36
-2x. -2x
-12x=-36
Divide -12 from both sides: -12x=-36
-12/-12= -36/-12
So in the end x=3

What is 55/99 Rounded to the nearest half

Answers

Answer:  1/2

Step-by-step explanation:

Answer: 1/2 is your answer:)

Step-by-step explanation: 50 rounded to the nearest tenth is 50

99 rounded to the nearest tenth is 100 and

50 is half of 100:)

50+100n please awnser thisssssssssssssssssssssssssssssssssssssssssssssssss

Answers

Answer:

5 ( 1 + 20 n )

Step-by-step explanation:

Answer:

Your answer will be 150

Step-by-step explanation:

your answer going to be 150


The hiking path to the top of a mountain makes, at the steepest place, an angle of 20° with the
horizontal, and it maintains this constant slope for 500 meters, as illustrated below. Which of the
following is the closest approximation to the change in elevation, in meters, over this 500-meter
section?
500 meters
20
A 20
B) 170
180
D 250

Answers

We are given:

a right angled triangle with the angle of elevation = 20 degrees

Hypotenuse of the Triangle = 500 m

Finding the change in Elevation:

We will use trigonometry in the given triangle to find the length of the perpendicular of the triangle

Using trigonometry, we found that the perpendicular = 500 * Sin 20 degrees

Perpendicular = 500 * 0.342           [sin(20 degrees) = 0.342]

Perpendicular = 171 m

The closest value to 171m in the given options is 170m

Therefore, 170m (option B) is correct

if the slope is -3/5 and the y intercept is 1 what is the slope intercept form of the equation of each line given the slope and y intercept

Answers

Answer:

y = -3/5x + 1

Step-by-step explanation:

What is the equation of a line that passes through the point (1. 8) and is perpendicuarto rene rose cons y=+32 Enter your answer in the box​

Answers

Answer:

-12yx

Step-by-step explanation:

y=x/2+3

y-3= -6

-6y= x/2

-6 x 2= -12yx

Each airline passenger and his or her luggage must be checked to determine whether he or she is carrying weapons on to the airplane. Suppose that at O’hare International Airport, an average of 10 passengers per minute arrive (interarrival times are exponential). To check passengers for weapons, the airport must have a checkpoint consisting of a metal detector and baggage X-ray machine. Whenever a checkpoint is in operation, two employees are required. A checkpoint can check an average of 12 passengers per minute (the time to check a passenger is exponential). Under the assumption that the airport has only one checkpoint, answer the following questions:

a. What is the probability that a passenger will have to wait before being checked for weapons?
b. On the average, how many passengers are waiting in line to enter the checkpoint?
c. On the average, how long will a passenger spend at the checkpoint?

Answers

Answer:

a

[tex]P_k = 0.83[/tex]

b

 [tex]N_{\mu} \approx 4 \ passengers[/tex]

c

[tex]T_{\lambda} = 0.5 \ minutes[/tex]

Step-by-step explanation:

From the question we are told that

The average number of passengers that arrive per minute is [tex]\lambda = 10[/tex]

The average number of check that can be carried out in one minute is [tex]\mu= 12[/tex]

Generally the probability that a passenger will have to wait before being checked for weapons is mathematically represented as

        [tex]P_k = \frac{\lambda }{ \mu }[/tex]

=>    [tex]P_k = \frac{10 }{ 12}[/tex]

=>    [tex]P_k = 0.83[/tex]

Generally the number of passengers are waiting in line to enter the checkpoint is mathematically represented as

     [tex]N_{\mu} = \frac{\lambda^2}{\mu (\mu -\lambda) }[/tex]

=>  [tex]N_{\mu} = \frac{10^2}{12 (12 -10) }[/tex]

=>  [tex]N_{\mu} \approx 4 \ passengers[/tex]

Generally the average time a passenger spend at the checkpoint is mathematically represented as

      [tex]T_{\lambda} = \frac{ \frac{\lambda}{(\mu - \lambda)} }{ \lambda}[/tex]

=>   [tex]T_{\lambda} = \frac{ \frac{ 10}{(12 - 10)} }{10}[/tex]

=>   [tex]T_{\lambda} = 0.5 \ minutes[/tex]

Matrix, help.
So I was instructed to use a calculator rather than solving by hand, so I did try to use my TI-84 but I'm having trouble, Is it possible to solve this by hand and if so- how do I go about it? Thank you (:

Answers

Answer:

i knew it but i forgot

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Choose the fraction that has not been reduced to simplest form.

[tex]\frac{1}{16} \frac{21}{34} \frac{3}{57} \frac{11}{17}\\[/tex]

Answers

first one since it’s 1/16 simplest form or 11/17 cuz it’s obv

Answer:

3/57

Step-by-step explanation:

3/57 because 3/3*19=1/19

Your friend and her parents are visiting colleges. They leave their home in Enid, Oklahoma, and drive to Tulsa, which is 107 mi east and 18 mi south of Enid. From Tulsa, they go to Norman, 83 mi west and 63 mi south of Tulsa. Where is Norman in relation to Enid?


Answers

That question is hard try google that always helps me
They went 107 miles east and 83 miles west, subtract those to get 24 miles east. They went 18 miles south and 63 miles south, add those to get 81 miles south.

24 miles east and 81 miles south.

Solve the equation for x.
– 1/2x – 3 = 4

Answers

Answer:

x = -4

Step-by-step explanation:

Multiply both sides by 2. Move constant to the right-hand side and change the sign. Add the numbers. And change the signs on both sides of the equation.

Answer: -14
Solving Steps:
-1/2x-3=4 - Multiply both sides
-x-6=8 - Move constant to the right
-x=14 - Calculate
x=-14 - Put the negative on the other side

Express decimal as a fraction 8.25

Answers

Answer:

33/4

Step-by-step explanation:

Find the equation of the line.
The line is perpendicular to y = 1/2x +5 and passes through the point (4,7).

The equation of the line is: y =

Answers

Answer:

y=-2x+15

Step-by-step explanation

A perpendicular line always has the opposite reciprocal slope of the line it is 90 degrees from.

Since the slope of the other line is 1/2, the slope of this line must be -2. And with the slope of a line -2 with point (4,7), you can start plugging in numbers.

y=-2x+b

7= -2(4)+b

7= -8+b

15=b

Therefore, the equation of the line is y=-2x+15

A polling agency is investigating the voter support for a ballot measure in an upcoming city election. The agency will select a random sample of 400 voters from one region, Region A, of the city. Assume that the population proportion of voters who would support the ballot measure in Region A is 0.46.

Required:
What is the probability that the proportion of voters in the sample of Region A who support the ballot measure is greater than 0.50?

Answers

Answer:

0.0544

Step-by-step explanation:

From the given information;

The population proportion of the voters that would support the ballot measures in region A = 0.46

The random sample n = 400 voters

The required probability can therefore be computed as follows:

[tex]P[p_1>0.5] = P \bigg [ \dfrac{p_1-P_1}{\sqrt{\dfrac{P_1(1-P_1)}{n_1}}}>\dfrac{0.5-0.46}{\sqrt{\dfrac{0.46(1-0.46)}{400}}} \bigg][/tex]

[tex]P[p_1>0.5] = P \bigg [ Z>\dfrac{0.04}{\sqrt{\dfrac{0.46(0.54)}{400}}} \bigg][/tex]

[tex]P[p_1>0.5] = P \bigg [ Z>\dfrac{0.04}{\sqrt{6.21\times 10^{-4}}} \bigg][/tex]

[tex]P[p_1>0.5] = P \bigg [ Z>1.605 \bigg][/tex]

[tex]P[p_1>0.5] = 1- P [ Z<1.605 ][/tex]

Using the Excel Function =NORMDIST(1.605)

[tex]P[p_1>0.5] = 1- 0.9456[/tex]

[tex]P[p_1>0.5] =0.0544[/tex]

Therefore, the required probability = 0.0544

What’s the constant term for 7k-8k=

Answers

Answer:

K?

Step-by-step explanation:    

1. A therapeutic drug has the side effect of raising a patient's heart rate. The relationship between ,

the amount of the drug in the patient's body (in milligrams), and r, the patient's heart rate (in beats

per minute) is given by r(Q) = 60+ 0.2Q. Over time the level of the drug in the patient's

bloodstream changes. The amount of drug in the patient's body, Q, (in milligrams) t minutes after

the drug has been administered is given by Q(t) = 250(0.8)".

a. What is the heart rate of this patient 5 minutes after the drug was administered? 8 minutes?

10 minutes? 13 minutes?

Answers

Complete question :

A therapeutic drug has the side effect of raising a patient's heart rate. The relationship between ,

the amount of the drug in the patient's body (in milligrams), and r, the patient's heart rate (in beats

per minute) is given by r(Q) = 60+ 0.2Q. Over time the level of the drug in the patient's

bloodstream changes. The amount of drug in the patient's body, Q, (in milligrams) t minutes after

the drug has been administered is given by Q(t) = 250(0.8)^t.

a. What is the heart rate of this patient 5 minutes after the drug was administered? 8 minutes?

10 minutes? 13 minutes?

Answer:

76.384 ;

68.389 ;

65.369;

62.749

Step-by-step explanation:

Given function:

r(Q) = 60+ 0.2Q ; amount of drug on patient's body, Q and heart rate (r)

The amount of drug in the patient's body, Q, (in milligrams) t minutes after

the drug has been administered is given by Q(t) = 250(0.8)^t

a. What is the heart rate of this patient

5 minutes after the drug was administered?

t = 5 ; quantity of drug on patient's body ;

Q(5) = 250(0.8)^5 = 81.92

Q = 81.92

Heart rate (r)

r(81.92) = 60+ 0.2(81.92) = 76.384

t = 8 minutes?

Q(8) = 250(0.8)^8 = 41.94304

Q = 41.94304

Heart rate (r)

r(41.94304) = 60+ 0.2(41.94304) = 68.389

t = 10 minutes

Q(10) = 250(0.8)^10 = 26.8435456

Q = 26.8435456

Heart rate (r)

r(26.8435456) = 60+ 0.2(26.8435456) = 65.369

t = 13 minutes

Q(13) = 250(0.8)^13 = 13.7438953472

Q = 13.7438953472

Heart rate (r)

r(13.7438953472) = 60+ 0.2(13.7438953472) = 62.749

Evaluate the expression 3.14(a2 + ab) when a = 4 and b = 2. (Input decimals only, such as 12.71, as the answer

Answers

Answer:

3.14((4^2)+(4)(2))

3.14(16+8)

3.14(24)

=75.36

You just want to plug in the values of a and b into the equation and solve using order of operations. Hope this helps!

Step-by-step explanation:

-3a-3=-2n+3p solve for a

Answers

Answer:

a=−2n3−p−1a=-2n3-p-1

Answer:

a=−2n3−p−1a=-2n3-p-1

Step-by-step explanation:

The formula for the volume of the sphere = 4(pi) 13. Which of the following is the closest approximation to the volume when r, the
radius, is 11 inches?

Answers

Answer:

5572.5 or 5573 inches

Step-by-step explanation:

First of all, the formula is 4/3(pi)r^3

So 4/3(3.14)11^3

So then 5572.5 or 5573 inches

Which point is NOT part of the solution set?


A. (-1, -3)

B. (5, 1)

C. (20, -5)

D. (0, 0)

Answers

Answer:

c becues its a bigger number

Step-by-step explanation:

Answer: A.  (-1, -3)

This point is on the boundary line, but the boundary line is a dashed line. So this point is not part of the solution. The dashed line is like an electric fence you can get closer to, but you cannot touch it. It's due to the fact there isn't any "or equal to" as part of the inequality sign. So that's why (-1,-3) is not in the solution set. If the boundary line was solid, then (-1,-3) would be a solution.

Points like (5,1), (20,-5) and (0,0) are solutions because they are in the pink shaded region, and they aren't on the boundary.

A U.S. dime has a thickness of 7.05 millimeters. Gary has a stack of dimes 42.3 millimeters tall. How many dimes does he have?

Answers

He has 6 dimes by dividing 42.3 by 7.05

Please Help ASAP

What is the equation of the line in slope-intercept form?

Line on a coordinate plane. The line runs through points begin ordered pair negative 2 comma 0 end ordered pair and begin ordered pair 0 comma 5 end ordered pair.

Enter your answer in the boxes.

y =
x +

$\text{Basic}$

Answers

Answer:

y=5/2x+5

Step-by-step explanation:

Slope intercept form is y=mx+b

m is the slope, and b is the y intercept

FIrst we have to find the slope which is rise/run

Since our points are (-2,0) and (0,5) the equation will be:

5-0/0-(-2)

5/2

The slope is 5/2

Next we have to plug in 5/2 for m:

y=5/2x+b

We know that the y intercept is 5 from the coordinate (0,5)

y=5/2x+5

Answer:

y is  5/2 and x is 5

Step-by-step explanation:

i just know it already x3

Refrigerators in a random sample of 55 refrigerators, the mean repair cost was $150.00 and the standard deviation was $15.50. Construct a 90% confidence interval for the population mean repair cost. Interpret the results.

Answers

Answer:

146.5619<x<153.4381

Step-by-step explanation:

The formula for calculating the confidence interval is expressed as:

CI =  xbar±(z*s/√n)

xbar is the mean = 150

s is the standard deviation = 15.50

n is the sample size = 55

z is the z score at 90% CI = 1.645

Substitute and get CI

CI = 150±(1.645*15.50/√55)

CI = 150±(1.645*15.50/7.4162)

CI = 150±(1.645*2.09)

CI = 150±(3.4381)

CI = (150-3.4381, 150+3.4381)

CI = (146.5619, 153.4381)

CI = 146.5619<x<153.4381

Hence a 90% confidence interval for the population mean repair cost 146.5619<x<153.4381

The minimum cost is approximately $147 while the maximum cost of the refrigerator is $153

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