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3 years ago

Simplify the expression. Drag and drop a number into each box to complete the simplification.

Mathematics

2 answers:

Likurg_2 [28]3 years ago

7 0

Answer:

3,9,63,65

Step-by-step explanation:

those r the oders it goes

TiliK225 [7]3 years ago

4 0

Answer:

srr i need poinst

Step-by-step explanation:

revdfzvarv

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A person takes a trip, driving with a constant peed of 89.5 km/h, except for a 22.0-min rest stop. If the peron's average speed

Stolb23 [73]

Answer:

a) The person traveled 2.83 hours.

b) The person travels 220.17 kilometers.

Step-by-step explanation:

We have that the speed is the distance divided by the time. Mathematically, that is

$s = \frac{d}{t}$

(a) how much time is spent on the trip and

The peron's average speed is 77.8 km/h, which means that $s = 77.8$

The person distance traveled is:

22 min is 22/60 = 0.37h.

So for the time t1, the person traveled at a speed of 89.5 km/h. Which has a distance of 89.5*t1.

For 0.37h, the person was at a stop, so she did not travel. This means that the total distance is

$d = 89.5t1 + 0 = 89.5t1$

The total time is the time traveling t and the stoppage time 0.37. So

$t = t1 + 0.37$

We want to find t1, which is the time that the person was driving.

$s = \frac{d}{t}$

$77.8 = \frac{89.5t1}{t1 + 0.37}$

$77.8t1 + 77.8*0.37 = 89.5t1$

$11.7t1 = 28.786$

$t1 = \frac{28.786}{11.7}$

$t1 = 2.46$

The total time is

$t = t1 + 0.37 = 2.46 + 0.37 = 2.83$

The person traveled for 2.83 hours.

(b) how far does the person travel?

The person traveled 2.46 hours at an average speed of 77.8 km/h. So

$s = \frac{d}{t}$

$77.8 = \frac{d}{2.83}$

$d = 77.8*2.83 = 220.17$

The person travels 220.17 kilometers.

8 0

3 years ago

2. Express each of the following as a rational number in the form of p/q<br> Where q≠0

ANTONII [103]

Step-by-step explanation:

We need to find each of the following as a rational number in the form of p/q

(a) (3/7)² (b) (7/9)³ (c) (-2/3)⁴

Solution,

(a) (3/7)²

$(\dfrac{3}{7})^2=\dfrac{9}{49}$

(b) (7/9)³

$(\dfrac{7}{9})^3=\dfrac{7\times 7\times 7}{9\times 9\times 9}\\\\=\dfrac{343}{729}$

$(\dfrac{-2}{3})^4=\dfrac{-2\times -2\times -2\times -2}{3\times 3\times 3\times 3}\\\\=\dfrac{16}{81}$

Hence, this is the required solution.

4 0

3 years ago

To make five apple pies you need about 2 pounds of apples how many pounds of apples do you need to make 20 pies

aleksklad [387]

Answer:

8 pounds

Step-by-step explanation:

use a proportion of 2/5 = x/20.

x will equal 8

5 0

3 years ago

What is the greatest common factor of 44c5,22c3 and 11c4?

elena-s [515]

Answer:

The greatest common factor of the given expressions is

$11c^3$

Step-by-step explanation:

Given that $44c^5,22c^3,11c^4$

$44c^5$ can be written as

$11\times 4\times c^3\times c^2$

$22c^3$ can be written as

$11\times 2\times c^3$

and $11c^4$ can be written as

$11\times 1\times c^3\times c$

Comparing the common factors we have $11\times c^3$ is the greatest common factor of $44c^5,22c^3,11c^4$

Therefore the greatest common factor of the given expressions is

$11c^3$

3 0

3 years ago

5. When I sine an angle like 60°, it gives me a value like 0.866025403. What does this number represent?

PolarNik [594]

Answer:

See below

Step-by-step explanation:

The number you described is the same as $sin(60^{\circ})=\frac{\sqrt{3}}{2}$ where the sine of an angle is the ratio between a right triangle's opposite side to the angle and the hypotenuse. So, in this case, if we had a right triangle with a height of $\sqrt{3}$ units and a hypotenuse of 2 units, the ratio between the two sides will result in the value you provided. This right triangle in particular would be a 30-60-90 triangle.

In the case of a unit circle, it’s the y-coordinate of the point where a 60° angle in the standard position intersects a unit circle and a right triangle is created from that.

5 0

3 years ago