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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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The similarities are;

Compass and a straight edge required for both construction

Both construction includes a line drawn from the intersection of arcs to bisect a segment or an angle

The bases for the construction of both bisector are the ends of segment and the angle to be bisected

The width of the compass when drawing intersecting arcs, is more than half the width of the segment or angle being bisected

The differences are;

Two points of intersection of arcs are used in the segment bisector while only one is requited in an angle bisector
The bisecting line crosses the segment in a segment bisector, while it stops at the vertex of the angle being bisected in an angle bisector

The sources of the above equations are as follows;

The steps to construct a segment bisector are;

Place the needle of the compass at one of the ends of the line segment to be bisected

Widen the compass so as to extend more than half of the length of the segment to be bisected

Draw two arcs, one above, and the other below the line

Place the compass needle at the other end and with the same compass width draw arcs that intersects with the arcs drawn in the above step

Draw a line segment by placing the ruler on the points of intersection of the arcs above and below the line

The steps to construct an angle bisector are;

With the compass needle at the vertex, open the pencil end such that arcs can be drawn on the rays (lines) forming the angle

Draw an arc on both lines forming the angle

Place the compass needle at one of the intersection points and draw an arc in between the lines forming the angle

Repeat the above step with the same compass width from the other intersection point with the rays forming the angle

Join the point of intersection of the two arcs to the vertex of the angle to bisect the angle

Therefore, we have;

The similarities are;

A compass and a straight edge can be used for both construction

A straight line is drawn from the point of intersection of arcs to bisect the segment or the angle

The arcs are drawn from the ends of the segment or angle to be bisected

The width of the compass is more than half the width of the line or angle when drawing the arcs

The differences are;

In a segment bisector, the intersection point is above and below the line, while in an angle bisector only one pair of arcs are drawn to intersect above the line

The bisecting line passes through the segment being bisected, while the line stops at the vertex in an angle bisector

Learn more about the construction of segment and angle bisectors here;

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1 year ago

The equation y=−0.0088x2+0.79x+15 models the speed x (in miles per hour) and average gas mileage y (in miles per gallon) for a v

rewona [7]

Answer: 30.72 miles per gallon

To find <span>best approximate for the average gas mileage at a speed of 60 miles per hour you need to replace the variable x with 60. The calculation would be:

</span><span> y=−0.0088x2+0.79x+15
y= -31.68 +47.4 + 15
y= 30.72
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2 years ago

Read 2 more answers

Chandra created a budget matrix based on her regular and expected expenses for the year. Expense Jan. Feb. Mar. Apr. May June Ju

Ivan

Answer:

Chandra's Average Monthly Expenses are;

1) For Both Jan and Feb are $269

2) For the remaining 10 months each are $244

Step-by-step explanation:

From Chandra's matrix all monthly expenses are all same that is,

Cell phone $71, Rent $1,025, Gym $75, Internet $25, Auto insurance $425, Gas $ 120, Food $145. which are all the expenses carried out every month for 12 months.

That means Chandra carries out a total of 7 expenses for the month of January and February while she carried a total of 6 expenses for the remaining 10 month which was noted from the matrix that Auto insurance was carried out only in the month of January and February.

Therefore, you start by adding up each month total expenses, which are ;

January = $71 + $1,025 + $75 + $25 + $425 + $120 + $145 = $1886

February = $71 + $1,025 + $75 + $25 + $425 + $120 + $145 = $1886

March = $71 + $1,025 + $75 + $25 + $120 + $145 = $1461

April = $71 + $1,025 + $75 + $25 + $120 + $145 = $1461

May = $71 + $1,025 + $75 + $25 + $120 + $145 = $1461

June = $71 + $1,025 + $75 + $25 + $120 + $145 = $1461

July= $71 + $1,025 + $75 + $25 + $120 + $145 = $1461

August = $71 + $1,025 + $75 + $25 + $120 + $145 = $1461

September = $71 + $1,025 + $75 + $25 + $120 + $145 = $1461

October = $71 + $1,025 + $75 + $25 + $120 + $145 = $1461

November = $71 + $1,025 + $75 + $25 + $120 + $145 = $1461

December = $71 + $1,025 + $75 + $25 + $120 + $145 = $1461

Therefore Chandra's Average Monthly Expenses are:

1) January & February = $\frac{71 + 1,025 + 75 + 25 + 425 + 120 + 145}{7}$ = $\frac{1886}{7}$ = 269.4286 to the nearest cent

≅ $269

2) For the remaining 10 month are = $\frac{71 + 1,025 + 75 + 25 + 120 + 145}{6}$ = $\frac{1461}{6}$ = 243.5 to the nearest cent

≅ $244

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2 years ago

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PLEASE help!!!! Jackie runs and dances for a total of 55 minutes every day. She dances 25 minutes more than she runs. Part A: Wr

Andrew [12]

Part a:

x + y = 55

y = x + 25

part b:

jackie runs 15 minutes every day.

part c:

it is not possible for jackie to spend 45 minutes a day dancing, since the time she spends dancing and running is 55 minutes, and we know that it takes 15 minutes to run

step-by-step explanation:

let's call and while jackie is dancing

let's call x while jackie is running

then we know that jackie runs and dances for a total of 55 minutes every day

this means that:

x + y = 55

we also know that jackie dances 25 minutes more than she runs.

this meant that:

y = x + 25

now we substitute the second equation in the first and solve for the variable x

x + x + 25 = 552x = 55-252x = 30x = 15

jackie runs 15 minutes every day.

now we find the value of the variable -y

15 + y = 55y = 55-15y = 40

note that it is not possible for jackie to spend 45 minutes a day dancing, since the time she spends dancing and running is 55 minutes, and we know that it takes 15 minutes to run

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2 years ago

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production for five people was as follows: 8 units, 11 units, 6 units, 12 units, 8 units. what was their average production in u

zlopas [31]

Add all the units together 8+11+6+8=45
then divide by the the number of units there are which is 5 so 45÷5 =9

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2 years ago

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