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1 year ago

Someone help! you have 44 text messages in your inbox. How many messages can your cell phone hold? (and inbox is 88% full)

2 answers:

4 0

We can set up a proportion.

88% = 0.88

44/0.88 = x/1

Cross multiply:

0.88x = 44

Divide 0.88 to both sides:

x = 50

So your cell phone can hold 50 messages.

nadezda [96]1 year ago

4 0

Ratio and proportion 44/x=88/100 cross multiply x= 50 messages

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Shelley compared the number of oak trees to the number of maple trees as part of a study about hardwood trees in a woodlot. She

Sedbober [7]

Answer:

Step-by-step explanation:

Initial ratio of maple trees to oak trees

New ratio of maple trees to oak trees

3:11

Number of oak trees = 132

Number of maple trees

132*3/11 = 36

Total number of trees

132+36 = 168

Initial number of maple trees

168*9/14 = 108

The difference in the number of maple trees:

108 - 36 = 72

7 0

1 year ago

Read 2 more answers

Determine the product: (46.2 × 10–1) ⋅ (5.7 × 10–6). Write your answer in scientific notation.

lianna [129]

Answer:

Step-by-step explanation:

10-6 X 10-1 = 10-7

5.7*46.2=263.34

263.34=2.6334 x 10^2

10^2 x 10^-7 = 10^-5

=2.6334 x 10-5

7 0

1 year ago

Solve the given initial value problem and determine how the interval in which the solution exists depends on the initial value y

zalisa [80]

Answer:

y has a finite solution for any value y_0 ≠ 0.

Step-by-step explanation:

Given the differential equation

y' + y³ = 0

We can rewrite this as

dy/dx + y³ = 0

Multiplying through by dx

dy + y³dx = 0

Divide through by y³, we have

dy/y³ + dx = 0

dy/y³ = -dx

Integrating both sides

-1/(2y²) = - x + c

Multiplying through by -1, we have

1/(2y²) = x + C (Where C = -c)

Applying the initial condition y(0) = y_0, put x = 0, and y = y_0

1/(2y_0²) = 0 + C

C = 1/(2y_0²)

1/(2y²) = x + 1/(2y_0²)

2y² = 1/[x + 1/(2y_0²)]

y² = 1/[2x + 1/(y_0²)]

y = 1/[2x + 1/(y_0²)]½

This is the required solution to the initial value problem.

The interval of the solution depends on the value of y_0. There are infinitely many solutions for y_0 assumes a real number.

For y_0 = 0, the solution has an expression 1/0, which makes the solution infinite.

With this, y has a finite solution for any value y_0 ≠ 0.

8 0

2 years ago

On circle OOO below, the measure of \stackrel{\LARGE{\frown}}{FJ} FJ ⌢ F, J, start superscript, \frown, end superscript is 84^\c

lianna [129]

Answer:

100°

Step-by-step explanation:

The angle between chords is the average of the intersected arc angles.

∠FKJ = ½ (84° + 76°)

∠FKJ = 80°

∠HKJ is supplementary to ∠FKJ.

∠HKJ = 180° − 80°

∠HKJ = 100°

7 0

2 years ago

A coin has a radius of 10 mm. How long will it take the coin to roll through the given angle measure at the given angular veloci

Gemiola [76]

Answer:

t = 1.57 sec

distance, d = 98.65 mm

Step-by-step explanation:

Given an angle of 540°

At 6 revolutions per second, which is the angular velocity.

Radius, r = 10 mm

We are asked to find the time and the distance.

To find the time, let's use the formula:

$\theta = a*t$

Where $\theta$ = angle in radians.

Converting 540° to radians, we have:

$\theta = 540 * \frac{\pi}{180} = 9.42 rad$

Therefore, from the formula, let's find t.

$\theta = a*t$

$9.42 = 6 * t$

$t = \frac{9.42}{6} = 1.57$

time = 1.57

To find the distance, we have:

$\frac{1.57 * 360}{360} = \frac{d}{2 \pi r}$

$\frac{1.57 * 360}{360} = \frac{d}{2\pi 10}$

$1.57 = \frac{d}{20\pi}$

$d = 20 \pi *1.57$

d = 98.65 mm

Therefore, the time is 1.57 seconds and the distance is 98.65 mm

8 0

2 years ago