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4 years ago

Find a ratio that compares the relative sizes of the quantities. 46 to 23

Mathematics

1 answer:

Zanzabum4 years ago

7 0

$\frac{46}{23}=\frac{2 \times 23}{1 \times 23}=\frac{2}{1}$

The ratio is 2:1.

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Solve the following System Of Equations Using Substitution or Elimination Methods. Show Work.

Ostrovityanka [42]

Answer:

There are two pairs of solutions: (2,7) and (-1,4)

Step-by-step explanation:

We will use substitution.

y = x^2 + 3

y = x +5

Since the second equation is equal to y, replace y in the first equation with the second equation.

y = x^2 + 3

x + 5 = x^2 + 3

Rearrange so that one side is equal to 0.

5 - 3 = x^2 - x

2 = x^2 - x

0 = x^2 - x - 2

You may use quadratic formula or any form of factoring to find the zeros (x values that make the equation equal to 0).

a = 1, b = -1, c = -2

Zeros = $\frac{-b + \sqrt{b^{2}-4ac } }{2a}$ and $\frac{-b - \sqrt{b^{2}-4ac } }{2a}$

Zeros = 2 and -1

Now that you have your x values, plug them into the equations to find their corresponding y values.

y = x^2 + 3

y = (2)^2 + 3

y = 7

Pair #1: (2,7)

y = x^2 + 3

y = (-1)^2 + 3

y = 4

Pair #2: (-1,4)

Therefore, there are two pairs of solutions: (2,7) and (-1,4).

8 0

3 years ago

What is the perimeter of khgj?

kaheart [24]

Answer:

58 in

Step-by-step explanation:

The fact that the rectangles are congruent means both have a length of 18 in and a width of 11 in. The perimeter is ...

P = 2(L +W)

P = 2(18 in + 11 in) = 2(29 in)

P = 58 in

The perimeter of KHGJ is 58 inches.

3 0

3 years ago

12.1.33 Question Help Suppose that 62% of families living in a certain country own an HDTV and 16% own a computer. The Additio

poizon [28]

Answer:

Step-by-step explanation:

Suppose :

62% own an HDTV

16% own a computer

Using the addition rule : suggests that (62% + 16%) = 78% either own an HDTV or a computer.

The reasoning is wrong because ; since it is possible to own both an HDTV and also own a computer at the same time, the outcome of the addition rule is wrong as both events are independent. If both event cannot occur at the same time (mutually exclusive event) , then, the addition rule may be applied,. But since both can occur independently and each family can own an HDTV while also owning a computer, then the addition rule is wrong for the scenario described.

6 0

3 years ago

A Nevada roulette wheel had 38 pockets, labeled as 0 00 1 2 3 ... 35 36. One bet is single number. If you bet $1 on a number (an

slavikrds [6]

Answer:

-0.0526

Step-by-step explanation:

Let X be the random variable denoting the net gain(in dollars) for a single trial(one bet).

Assuming that each number in the wheel is equally likely, probability of the outcome being a victory is $\frac{1}{38}$ and probability of failure is $\frac{37}{38}$ . For a win, X takes value 35 and for a loss X takes value -1. So the model is,

$P(X=35) = \frac{1}{38}$

$P(X=-1) = \frac{37}{38}$

$P(X=i) = 0 \;if\; i \neq 38, i\neq -1$

The mean for one bet is $E(X) = \sum xP(X=x) = 35\times\frac{1}{38} - 1\times\frac{37}{38} = -0.0526$

3 0

3 years ago

Following world war 1 the allies

Zanzabum

Made the treaty of versai witch put restrictions on Germany and made the pay for the destruction they caused during the war putting them in a spot were they had no money

6 0

3 years ago