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3 years ago

Compare how you would model and record finding the sum and difference of two rocks weighing 2/8 & 3/8 of a pound

Mathematics

1 answer:

ICE Princess25 [194]3 years ago

7 0

Sum = 2/8 + 3/8 = (2+3)/8 = 5/8 pounds

Difference = 3/8 - 2/8 = (3-2)/8 = 1/8 pounds

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10^2+12^2+14^2+......+26^2=??

Kazeer [188]

Answer:

3156

Step-by-step explanation:

<em>Used formula:</em>
<em>(1² + 2² + 3² + ... + n²) =1/6*n(n + 1)(2n + 1)</em>

--------

10²+12²+14²+......+26² =
(2*5)²+(2*6)² + (2*7)² + ... + (2*13)² =
4*(5²+6²+7²+...+13²) =
4*(1²+2²+...+13² - (1²+2²+3²+4²)) =
4*(1/6*13(13+1)(2*13+1) - (1+4+9+16)) =
4*(1/6*13*14*27- 30) =
4*(819 - 30) =
4*789 =
3156

3 0

3 years ago

Dina and Masha start cycling on a 20 km bike path at the same time. When Dina reaches the end of the path, Masha still has 4 km

sammy [17]

Answer:

0.5 hour

Step-by-step explanation:

Given

Speed of Dina = 10 km/h

Distance = 20 km

So the time Dina taken to complete the track is:

$Speed=\frac{distance}{time}\\10=\frac{20}{time}\\time=\frac{20}{10}\\ time=2\ hours$

The time taken by Dina is 2 hours. As masha started with dina but she was 4 km of the path left to cycle,

her distance covered in 2 hours was:

$Distance\ covered\ by\ Masha\ in\ 2\ hours=20-4\\=16 km$

So we know the time and distance:

Now,

$Speed\ of\ Masha=\frac{distance}{time}\\ =\frac{16}{2}\\ =8\ kilometer\ per\ hour$

We have to calculate the time that will be needed by MAsha to complete the track:

As we know the speed and remaining distance

$Speed=\frac{distance}{time}\\8=\frac{4}{time}\\ time=\frac{4}{8}\\time=0.5\ hours$

Masha needs 0.5 hour to complete the track ..

7 0

3 years ago

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On a scale drawing, the scale factor is 1 over 12. A citrus tree is 7 inches tall on the drawing. What is the height of the actu

Nat2105 [25]

The scale should be about 5inchesb

6 0

2 years ago

Solve equation -3m=4m - 15

timama [110]

Answer:

m= 15/7

Step-by-step explanation:

3 0

2 years ago

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Rewrite the polynomial in standerd form f(x)=(3x+1)(x+2)(x-3)

butalik [34]

F(x) = 3x^3 -2x^2 - 19x -6

8 0

2 years ago