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2 years ago

What is the solution of 4 + StartRoot 5 x + 66 EndRoot = x + 10? x = –10 x = 3 x = –10 or x = 3 no solution

Mathematics

1 answer:

irga5000 [103]2 years ago

6 0

This is a question that is not awnsable so your teachers need to get smarter

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Vika [28.1K]

C, i think you forgot an x
(x+11)+(x-7)
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3 years ago

The equation shows the relationship between x and y:

Margarita [4]

The slope is 7 and the y-intercept is (0,9)

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4 years ago

Read 2 more answers

Express 8^3/4 in simplest radical form

erma4kov [3.2K]

Answer:

$\sqrt[4]{8^{3} }$

Step-by-step explanation:

8**(3/4) = 8**(3 * 1/4) = $\sqrt[4]{8^{3} }$

6 0

3 years ago

A standard deck of cards contains 52 cards. One card is selected from the deck. (a) Compute the probability of randomly selecti

den301095 [7]

Answer:

a) 0.5

b) 0.75

c) 0.307

Step-by-step explanation:

We are given the following information in the question:

Number of cards in a deck = 52

Formula:

$\text{Probability} = \displaystyle\frac{\text{Number of favourable outcomes}}{\text{Total number of outcomes}}$

a) P(Heart or Diamond)

Total number of hearts and diamonds in a deck = 13 + 13 = 26

P( Heart or Diamond) =

$\displaystyle\frac{26}{52} = \displaystyle\frac{1}{2} = 0.5$

b) P(Heart or Diamond or Spade)

Total number of hearts, diamonds and spades in a deck = 13 + 13 + 13 = 39

P( Heart or Diamond or Spades) =

$\displaystyle\frac{39}{52} = \displaystyle\frac{3}{4} = 0.75$

c) P(10 or Spades)

Total number of spades in a deck = 13

Number of 10 in a deck = 4

P( 10 or Spades) =

$\displaystyle\frac{13 + 4 -1}{52} = \displaystyle\frac{16}{52} = \displaystyle\frac{4}{13} = 0.307$

3 0

3 years ago

an airplane travels 5424 km against the wind in 8 hours and 6624 km with the wind in the same amount of time. what is the rate o

liq [111]

Answer:

The rate of the plane is 753 km/h while the rate of the wind is 75km/h

Step-by-step explanation:

Here in this question, we are interested in calculating the rate of the plane in still air and the rate of the wind.

Since we do not know these rates, we shall be representing both using variables.

Let’s represent the rate of the plane in still air by x kmph while the rate of the wind be represented by y kmph

Now, for us to calculate the speed of the plane while it travels against the wind, that would be the speed of the plane in still air minus the speed of the wind.

Mathematically, that would be (x-y) kmph

Now the speed of the plane while it travels with the wind would be its speed in still air plus the speed of the wind.

Mathematically, that would be;

(x + y) kmph

From the question;

The plane journeyed 5424 km against the speed in 8 hours, this means that its speed will be 5424/8 = 678 kmph

Thus, that means;

x -y = 678 •••••••(i)

Now, traveling with the wind , its speed will be ;

6624/8 = 828 kmph

Thus;

x + y = 828 kmph •••••••(ii)

So we have two equations to solve simultaneously;

Let’s add both together;

x -y + x + y = 828+ 678

2x = 1,506

x = 1506/2

x = 753 kmph

From ii

x + y = 828

y = 828 - x

y = 828 - 753

y = 75 kmph

5 0

3 years ago