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1 year ago

Deandre downloaded 8 apps onto his tablet in 12 seconds. At this rate, how many apps could he download in one minute?

Mathematics

2 answers:

Doss [256]1 year ago

8 0

Answer: 40

Step-by-step explanation:

Given : Deandre downloaded 8 apps onto his tablet in 12 seconds.

By using UNITARY METHOD, the number of apps he download in one seconds will be :-

$\dfrac{8}{12}=\dfrac{2}{3}$

Also, 1 minute = 60 seconds

At this rate, the number of apps he can download in 60 seconds will be :-

$\dfrac{2}{3}\times60=40$

Hence, the number of apps he can download in one minute = 40

anygoal [31]1 year ago

5 0

Answer:

40 apps

Step-by-step explanation:

8 apps per 12 seconds is a rate of 8/12 (apps/sec) = 2/3 (apps/sec)

2/3 (apps/sec) × 60 (sec) = 40 (apps)

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For the equation ae^ct=d, solve for the variable t in terms of a,c, and d. Express your answer in terms of the natural logarithm

saveliy_v [14]

We have been given an equation $ae^{ct}=d$ . We are asked to solve the equation for t.

First of all, we will divide both sides of equation by a.

$\frac{ae^{ct}}{a}=\frac{d}{a}$

$e^{ct}=\frac{d}{a}$

Now we will take natural log on both sides.

$\text{ln}(e^{ct})=\text{ln}(\frac{d}{a})$

Using natural log property $\text{ln}(a^b)=b\cdot \text{ln}(a)$ , we will get:

$ct\cdot \text{ln}(e)=\text{ln}(\frac{d}{a})$

We know that $\text{ln}(e)=1$ , so we will get:

$ct\cdot 1=\text{ln}(\frac{d}{a})$

$ct=\text{ln}(\frac{d}{a})$

Now we will divide both sides by c as:

$\frac{ct}{c}=\frac{\text{ln}(\frac{d}{a})}{c}$

$t=\frac{\text{ln}(\frac{d}{a})}{c}$

Therefore, our solution would be $t=\frac{\text{ln}(\frac{d}{a})}{c}$ .

5 0

1 year ago

There were 340,000 cattle placed on feed. Write an equivalent ratio that could be used to find how many of these cattle were bet

lutik1710 [3]

There were 340,000 cattle placed on feed

How many of the 340,000 cattle placed on feed were between 700 and 799 pounds?

Given the fraction of total cattle for 700 - 799 pounds is 2/5

Let x be the number of cattle between 700 - 799 pounds

We make a proportion using the fraction

$\frac{2}{5} = \frac{x}{340,000}$

Cross multiply it and solve for x

340000* 2 = 5x

680000 = 5x

Divide by 5 on both sides

So x= 136,000

There were 136,000 cattle between 700 and 799 pounds

3 0

1 year ago

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The label on the car's antifreeze container claims to protect the car between −40°C and 140°C. To covert Celsius temperature to

sergejj [24]

Answer:

-40 < t < 284

Step-by-step explanation:

The antifreeze protects the car between −40°C and 140°C.

Using t for temperature, the compound inequality of the Celsius temperature range is:

-40 < t < 140

The conversion formula is given to find degrees C in given degrees F. We can solve the formula for F, so we get degrees F in terms of degrees C.

C = (5/9)(F - 32) <------ <em>conversion formula from deg F to deg C</em>

Solve for F:

(9/5)C = F - 32

(9/5)C + 32 = F

F = (9/5)C + 32 <------ <em>conversion formula from deg C to deg F</em>

Now we convert -40 deg C to deg F using the formula we just derived.

F = (9/5)C + 32

F = (9/5)(-40) + 32

F = -72 + 32

F = -40

-40 deg C = -40 deg F

(This is not a mistake or a typo. -40 deg C really is the same as -40 deg F.)

Now we convert 140 deg C to deg F using the formula we just derived.

F = (9/5)C + 32

F = (9/5)(140) + 32

F = 252 + 32

F = 284

140 deg C = 284 deg F

Now we rewrite the compound inequality with Fahrenheit temperatures.

-40 < t < 284

4 0

1 year ago

You are a pharmacy technician. You need to prepare a 0.85-gram dose of a liquid antibiotic. The medicine is concentrated at 250

Xelga [282]

Answer:

17mL

Step-by-step explanation:

Convert 0.85 gr to miligrams

If 100 mg is 1 gr. Then, 0.85 gr is 850 mg

So, 850 multiply for 5ml and divide for 250 ml

or $850mg \frac{5ml}{250mg}$

So all mg is gone and the amount of mililiters is 17

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1 year ago

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In a survey respondents were asked which type of movie they watched most often. the bar graph shows how many males and how many

Y_Kistochka [10]

Males that watched action movies : 13
males that watched drama movies : 5

so there are (13 - 5) = 8 more that watched action then drama

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1 year ago

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