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1 year ago

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if the survey, 9/25 of students ride the bus to school and 19/50 walk to school. what fraction of students ride the bus or walk

to school

1 answer:

Elena-2011 [213]1 year ago

6 0

1. $\dfrac{9}{25}$ of students ride the bus to school. Note that

$\dfrac{9}{25}=\dfrac{9\cdot 2}{25\cdot 2}=\dfrac{18}{50}.$

2. $\dfrac{19}{50}$ of students walk to school.

3. The fraction of students that ride the bus or walk to school is

$\dfrac{18}{50}+\dfrac{19}{50}=\dfrac{18+19}{50}=\dfrac{37}{50}.$

Answer: the fraction of students that ride the bus or walk to school is $\dfrac{37}{50}.$

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Elijah and Jonathan play on the same soccer team. They have played 3 of their 15,

Lynna [10]

Answer:

Only Elijah's model is correct

Step-by-step explanation:

The data given in the question tells us they have 12 games left on their soccer team. Each one of them tried to simulate the fact by creating some model which look like a balance between quantities.

Elijah placed 3 cubes of value 1 and a cube of value x on one side of a balance. On the other side, he placed 15 cubes of value 1. He was obviously modeling the fact that 15 cubes (games due to play in our case) should be equal to 3 cubes (games already played) plus the x numbers left to play

This model if perfect, since the only way to equilibrate the balance is setting x to 12, the games left to play

Jonathan used a table with 3 x's in a row and a 15 in the second row, trying to model the same situation. To our interpretation, this table doesn't show the number of games left to play. If we equate 3x = 15, we get x=5 which has nothing to do with the situation explained in the question, so this model is not correct.

5 0

1 year ago

If i leave my house at 6:52 am and run 1 mile at an easy pace (8:15 per mile), then 3 miles at tempo (7:12 per mile) and 1 mile

FinnZ [79.3K]

Running 2 miles at 8:15 per mile takes 16:30 minutes.

Running 3 miles at 7:12 per mile takes 21:36 minutes.

The total running time is 16:30 + 21:36 = 38:06 minutes. That length of time after 6:52 am is 7:30:06 am.

You get home for breakfast at 6 seconds past 7:30 am.

8 0

1 year ago

What is 2 (log Subscript 3 Baseline 8 + log Subscript 3 Baseline z) minus log Subscript 3 Baseline (3 Superscript 4 Baseline min

Ilya [14]

Answer:

Value of expression in single logarithm is $\log_3\left(2z^2\right)$ .

Step-by-step explanation:

Given expression is,

$2\left(\log_3\left(8\right)+\log_3\left(z\right)\right)-\log_3\left(3^4-7^2\right)$

Now using logarithmic rule to solve the expression as follows,

Applying product rule of logarithmic,

$\log_c\left(a\right)+\log_c\left(b\right)=\log_c\left(ab\right)$

Therefore,

$2\log_3\left(8z\right)-\log_3\left(3^4-7^2\right)$

Applying power rule of logarithmic,

$a\log_c\left(b\right)=\log_c\left(b^a\right)$

Therefore,

$\log_3\left(\left(8z\right)^2\right)-\log_3\left(3^4-7^2\right)$

$\log_3\left(\left(64z^2\right)\right)-\log_3\left(3^4-7^2\right)$

Applying quotient rule of logarithmic,

$\log_c\left(a\right)-\log_c\left(b\right)=\log_c\left(\frac{a}{b}\right)$

Therefore,

$\log_3\left(\dfrac{\left(64z^2\right)^2}{3^4-7^2}\right)$

Simplifying,

$\log_3\left(\dfrac{\left(64z^2\right)^2}{81-49}\right)$

$\log_3\left(\dfrac{\left(64z^2\right)^2}{32}\right)$

$\log_3\left(2z^2\right)$

Therefore value of expression is $\log_3\left(2z^2\right)$

6 0

2 years ago

Read 2 more answers

After a certain medicine is ingested, its concentration in the bloodstream changes over time.

myrzilka [38]

Answer:

Every hour, the medicine concentration decays by a factor of 4%.

Step-by-step explanation:

The relationship between the elapsed time, <em>t</em>, in minutes, since the medicine was ingested, and its concentration in the bloodstream, <em>C</em> (<em>t</em>), is:

$C(t)=61\cdot (0.96)^{t}$

The decay function is:

$y=a(1-r)^{t}$

Here,

<em>y</em> = final amount

<em>a </em>= initial amount

<em>r</em> = decay rate

<em>t</em> = time

From the provided expression the decay rate is:

$1-r=0.96\\r=1-0.96\\r=0.04$

Thus, every hour, the medicine concentration decays by a factor of 4%.

8 0

2 years ago

Read 2 more answers

Una fabrica produce 132 litros de yogurt diarios .Con 49 litros se llenan botellas de 0,25litros xada una y con el resto que que

nordsb [41]

Answer:

$z = 362\,botellas$

Step-by-step explanation:

(This exercise has been presented in Spanish and for that reason explanation will be held in Spanish)

La cantidad de botellas de 0,25 litros que se llenan con 49 litros de yogurt es:

$x = \frac{49\,L}{0.25\,\frac{L}{botella} }$

$x = 196\,botellas$

La cantidad remanente de yogurt es:

$V_{r} = 132\,litros - 49\,litros$

$V_{r} = 83\,litros$

Ahora, la cantidad de botellas de 0,5 litros que se llenan con el volumen remanente es:

$y = \frac{83\,litros}{0.5\,\frac{litros}{botella} }$

$y = 166\,botellas$

Finalmente, el total de botellas a llenar es:

$z = 196\,botellas + 166\,botellas$

$z = 362\,botellas$

5 0

1 year ago