At one point during the summer, Marsha has read 500 pages of her reading assignment, and Jan has read 460 pages. Marsha reads 20 pages per week for the remainder of the summer, and Jan reads 30 pages per week for the remainder of the summer. How many weeks, w, will it take before the girls have read the same number of pages?

Alleen's mom is not correct because if her friend reads 20 pages, she can read 30 pages in the same time period.

To answer this question, we need to use the terms "ratio" and "proportion". The given ratio of Alleen's reading speed to her friend's speed is 1.5:1. If Alleen's friend reads 20 pages, we can use proportion to find how many pages Alleen can read:

1.5 / 1 = x / 20

To solve for x (the number of pages Alleen reads), we can cross-multiply:

1.5 * 20 = 1 * x
30 = x

So, if Alleen's friend reads 20 pages, Alleen can read 30 pages in the same time period.

Learn more about proportion here: https://brainly.com/question/12835281

#SPJ11

Solution a needed 70 ounces and solution b needed 50 ounces

What does "1 ounce" mean?

One ounce weighs 437.5 grains or 28.349 grams and is a sixteenth of a pound (avoirdupois) of weight.

One ounce, abbreviated "oz," equals 480 grains, or 31.103 grams, and is one-twelfth of a Troy or Apothecaries' pound in weight. abbreviation for fluid ounce. a tiny amount or percentage.

So, let x=the of ounces of the 50% acid solution. The total volume after both are mixed is 100 ounces so the amount of the 20% solution will be 120-X. The equation will therefore be:

50% * x + 20% * (100-x) = 41% * 100

Dropping the ‘%’ we get

50x + 2000 - 20x = 4100

30x = 2100

x = 2100/30 = 70

Hence 70 ounces will be needed

Solution a = 70 ounces

Solution b = 50 ounces

Learn more about concentration

https://brainly.com/question/17206790

#SPJ4

Answer:

if you mean that it look like this < or this > then its “less than or equal to“ or “greater than or equal to”

I hope this helped!!

OH and have a merry Christma!!!!!

Answer:

A. (x + 2)²(x - 2)²

Step-by-step explanation:

x⁴ - 8x² + 16 =

(x² - 4)(x² - 4) =

(x - 2)(x + 2)(x - 2)(x + 2) =

(x - 2)²(x + 2)²

We have the given equation for the remaining Tylenol in her body.

Where n represents the number of hours.

We need to find the remaining Tylenol in her body after 4 hours. Therefore, set n=4.

Replacing on the formula:

The value is rounded to the nearest hundredth.

Hence, Jane will have 14.99 mg's of Tylenol remaining in her body after 4 hours.

Answer:

56.4 pounds

Step-by-step explanation:

Multiply 12 (kittens) by 4.7(pounds) and you get 56.4 pounds, the total weight of the kittens combined.

Answer:

y < \(\frac{13}{2}\)

Step-by-step explanation:

Given

5y + 4 < 3y + 17 ( subtract 3y from both sides )

2y + 4 < 17 ( subtract 4 from both sides )

2y < 13 ( divide both sides by 2 )

y < \(\frac{13}{2}\)

Answer:

y < 13/2

Step-by-step explanation:

Answer:

Step-by-step explanation:

dy/dt=-72/9=-8ft/s

Answer:

plz mark me brainliest

Step-by-step explanation:

thanks for question

Answer:

Answer:

Graph C shows the solution for the inequality

Step-by-step explanation:

y - 4 > 2(x + 2)

y > 2x + 4 + 4

y > 2x + 8

Let y = 2x + 8, Then

X-intercept (0, 8)

Y-intercept (-4, 0)

Since the inequality sign is > we use broken line.

Put,  (0, 0)

y > 2x + 8

0 > 0+ 8

0 > 8 Which is false

so, the answer will be above the broken line

Hence , Graph C shows inequality

#SPJ1

The root of the equation sinx = 2x-3 is 0.8401 (approx).

Given equation is sinx = 2x-3

We need to solve this equation using false position method.

False position method is also known as the regula falsi method.

It is an iterative method used to solve nonlinear equations.

The method is based on the intermediate value theorem.

False position method is a modified version of the bisection method.

The following steps are followed to solve the given equation using the false position method:

1. We will take the end points of the interval a and b in such a way that f(a) and f(b) have opposite signs.

Here, f(x) = sinx - 2x + 3.

2. Calculate the value of c using the following formula: c = [(a*f(b)) - (b*f(a))] / (f(b) - f(a))

3. Evaluate the function at point c and find the sign of f(c).

4. If f(c) is positive, then the root lies between a and c. So, we replace b with c. If f(c) is negative, then the root lies between c and b. So, we replace a with c.

5. Repeat the steps 2 to 4 until we obtain the required accuracy.

Let's solve the given equation using the false position method.

We will take a = 0 and b = 1 because f(0) = 3 and f(1) = -0.1585 have opposite signs.

So, the root lies between 0 and 1.

The calculation is shown in the attached image below.

Therefore, the root of the equation sinx = 2x-3 is 0.8401 (approx).

Learn more about equation

brainly.com/question/29657983

#SPJ11

Answer:

1/25 cm³

Step-by-step explanation:

Formula for calculating rectangular prism is expressed as:

V = Base Area × Height

Given

Base Length = 2/5 cm

Base width = 1/5 cm

Height of the prism = 1/2 cm

Volume of the rectangular prism = Area of the rectangular base × Height of prism

Volume = (length×width)×(Height of the prism)

Volume = (2/5×1/5)×1/2

Volume of the prism = 2/25×1/2

Volume of the rectangular prism = 2/50 cm³ = 1/25 cm³

Answer:

Car 1

Step-by-step explanation:

Answer: Car 1

Step-by-step explanation:

Notice that the speed of each car is the slope of the line that represents its average speed.

Since the graph of the speed of Car 1 passes through (0,0) and (4,256), we get that its slope is:

256/4 = 64

Therefore the average speed of Car 1 is 64 mi/h.

 Now, since the equation that represents the average speed of Car 2 is in slope-intercept form, we get that its slope is 55.

Therefore the average speed of Car 2 is 55 mi/h.

Answer: Car 1.

Answer:

72

Step-by-step explanation:

8 x 3² = 8 x 3 x 3

          = 8 x 9

          = 72

[P.S. If you meant (8 x 3)² the answer is:

(8 x 3)² = (24)²

            = 24 x 24

            = 576     ]  

If a player is standing 10 feet from the net, he could make approximately option (b) 5 baskets.

What is Distance?

A basketball player recorded the number of baskets he could make depending on how far away he was standing from the net.

The distance from the net in feet is plotted against the number of baskets made.

Now, we see from the graph that when the distance from the net in feet is 10, the ordinate of the point is 5.

So, he could make approximately 5 baskets.

So, the answer is

Using the best fit line, if a player is standing 10 feet from the net, he could make approximately option (b) 5 baskets.

Learn more about distance

brainly.com/question/18246609

#SPJ4

The complete question is -

A basketball player recorded the number of baskets he could make depending on how far away he stood from the basketball net. The distance from the net (in feet) is plotted against the number of baskets made as shown below. Distance from Net vs. Number of Baskets 25 20 15 . Number of Baskets 10 5 0 0 2 10 12 4 6 8 Distance from Net (feet) Using the best-fit line, approximately how many baskets can the player make if he is standing ten feet from the net?

To determine the minimum score needed to ensure that you are in the top 7%, we need to find the z-score associated with the top 7% and then convert it back to the raw score.

The top 7% corresponds to an area of 0.07 under the standard normal distribution curve. To find the z-score associated with this area, we can use a standard normal distribution table or a calculator.

Using a standard normal distribution table or calculator, we find that the z-score corresponding to an area of 0.07 is approximately 1.4051.

To convert this z-score back to the raw score, we can use the formula:

x = z * standard deviation + mean

Substituting the values into the formula, we get:

x = 1.4051 * 100 + 500

x ≈ 140.51 + 500

x ≈ 640.51

Therefore, the minimum score needed to ensure that you are in the top 7% is approximately 640.51.

Learn more about distribution here:

https://brainly.com/question/29664127

#SPJ11

Answer:

The answer is 36

Step-by-step explanation:

=16-4(-5)

=16-(-20)

=36

Therefore, Hans walks 24500 meters in 7 days using equation.

To convert kilometers to meters, we use the conversion factor of 1 kilometer = 1000 meters.

Hans walks 3.5 km every day.

To find how far he walks in 7 days, we multiply the distance walked in one day (3.5 km) by the number of days (7):

3.5 km * 7 = 24.5 km

Since we want the answer in meters, we can convert the result to meters by multiplying by 1000:

24.5 km * 1000 = 24500 meters

Therefore, Hans walks a total of 24500 meters in 7 days.

To know more about equation,

https://brainly.com/question/31877284

#SPJ11

Answer:

y= 5/8x

Step-by-step explanation:

When it says y is it typically means y=.

When it says 5/8 of a number or of a variable it means that number times that variable.

Hope this helps!

Answer: You travel 56 miles per hour.

Step-by-step explanation:

The basic formula for this type of question is mi/hr. In other words, you divide the amount of miles by the amount of time you travel.

224÷4=56

You travel 56 miles an hour.

To determine the number of possible subcommittees with three members out of seven, we can use the concept of combinations. In this case, we want to select three members from a group of seven.

The number of possible subcommittees can be calculated using the formula for combinations:

C(n, r) = n! / (r!(n - r)!)

where n is the total number of members and r is the number of members to be selected for the subcommittee.

Using this formula, we have:

C(7, 3) = 7! / (3!(7 - 3)!)

= 7! / (3! * 4!)

= (7 * 6 * 5) / (3 * 2 * 1)

= 35

Therefore, there are 35 possible subcommittees that can be formed from the seven members.

To learn more about combinations: brainly.com/question/31586670

#SPJ11

Answer:

the awnser is 240 dollers

Step-by-step explanation:

this question answer is a cosine

The value of the test statistic is -8.2542.

We have,

p'= 0.87, p= 0.93 and n= 1232

We know, the equation for the Test statistic for a population proportion  is mathematically given as

z = (p' - p)/ √p(1-p)/ n

So, z= (0.87 - 0.93)/ √0.93(1-0.93)/ 1232

z = (-0.06) / 0.007269

z = -8.2542

So, the value of the test statistic is -8.2542.

Learn more about Confidence interval here:

brainly.com/question/17097944

#SPJ1

The value of rate of change of the line that contains the points in the table is,

⇒ 3 / 4

We have to given that;

Table is defined as;

x = - 4, 0, 8

y = - 7, - 4, 2

Now, Take two points as; (- 4, - 7) and (0, - 4)

Hence, The value of rate of change of the line that contains the points in the table is,

⇒ (- 4 - (- 7)) / (0 - (- 4))

⇒ 3/4

Thus, The value of rate of change of the line that contains the points in the table is,

⇒ 3 / 4

Learn more about the equation of line visit:

https://brainly.com/question/18831322

#SPJ1