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stellarik [79]
3 years ago
10

Marley has read 112.5 pages of a book. By the end of today, she plans to have read at least a total of 360 pages. If she reads 4

5 pages per hour, what is the minimum amount of time she should devote to reading today? hours and minutes
Mathematics
1 answer:
Vinvika [58]3 years ago
6 0
5.5 hours.  5 hours and 30 minutes

The total pages she wants to finish (360) minus the pages she has read (112.5) equals to 247.5
Then divide it by the 45 (the rate of pages she reads per hour) 
5.5 hours.

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(a−2b)3 when a=−4 and b=−1/2
Vikentia [17]

Answer:

-9

Step-by-step explanation:

(-4-2*-1/2)3

(-4+1)3

-3*3

-9

3 0
2 years ago
Read 2 more answers
What is the constant of proportionality in the equation y=12.9x?<br> Enter your answer as a decimal
forsale [732]

Answer:

The constant of proportionality would just be 12.9.

Step-by-step explanation:

This equation is already simplified enough to were the constant of proportionality is just the number attached to the x.

3 0
3 years ago
In kite ABCD, mZBAE = 28º and mZBCE = 58°. Find mZABE.<br> B<br> E<br> А<br> С<br> D<br> mLABE =
Digiron [165]

Answer:

m∠ABE = 62°

Step-by-step explanation:

Since, the given quadrilateral is a kite, diagonals will intersect at 90°.

Therefore, m∠AEB = m∠CEB = 90°

m∠BAE = 28° [Given]

m∠BCE = 58° [Given]

From ΔABE,

m∠BAE + m∠BEA + m∠ABE = 180°

28° + 90° + m∠ABE = 180°

m∠ABE = 180° - 118°

             = 62°

Therefore, measure of angle ABE = 62°.

3 0
3 years ago
The 2 main support rods for a barbeque grill are each 7.5 cm from the centre of the
sukhopar [10]

Answer:

  58.1 cm

Step-by-step explanation:

The length of each support rod can be found using the Pythagorean theorem. The geometry can be modeled by a right triangle, such that the distance from centre is one leg and half the length of the rod is the other leg of a triangle with hypotenuse equal to the radius of the grill.

__

<h3>Pythagorean theorem</h3>

The theorem tells us that the sum of the squares of the legs of a right triangle is the square of the hypotenuse. For legs a, b and hypotenuse c, this is ...

  c² = a² +b²

<h3>application</h3>

For the geometry of the grill, we can define a=7.5 and c=30. Then b will be half the length of the support rod.

  30² = 7.5 +b²

  b² = 900 -56.25 = 843.75

  b = √843.75 ≈ 29.0473

The length of each support rod is twice this value, so ...

  rod length = 2b = 2(29.0473) = 58.0947

Each support rod is about 58.1 cm long.

7 0
1 year ago
6.5x-10=4.5x+6 can someone give a step by step answer plz
Trava [24]

Collect like terms
6.5x-4.5x = 6+10
2x = 6+10
Divide both sides
2x = 16
X= 8
7 0
3 years ago
Read 2 more answers
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