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mariarad [96]
3 years ago
10

Solve the inequality 5(2h+8)<60

Mathematics
1 answer:
Bezzdna [24]3 years ago
3 0

Answer and Step-by-step explanation:

Greetings!

Let's~answer~your~question!

First, ~let's~ work~ on ~the~ left~ hand ~side~ of ~your ~inequality,~ the~ 5(2h+8)~This\\ means,~ for~ instance, ~to ~see ~if ~it ~can~ be ~simplified ~at~ all.~Multiply~ h ~and~ 2

The~ answer~ is~ h

2\times h~ evaluates~ to~ 2h

2\times h+8 ~evaluates~ to~ 2h+8

Multiply ~5~ by~ 2h+8

we ~multiply~ 5~ by~ each ~term ~in~ 2h+8 ~term ~by~ term~and~we~use~distributive~\\property.

Multiply ~5 ~and~ 2h

5\times2h=10h

Multiply~ 5 ~and ~8

5 \times 8 = 40

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Hard math question!
luda_lava [24]
First, let me show you some notation.

To show a matrix is an inverse of another matrix, we write A^{-1}

-1 is not an exponent. It just shows that a matrix is an inverse of another matrix.

For a 2x2 matrix, we can get the inverse by first making b and c negatives and swap the positions of a and d.

Then multiply each entry in the matrix by 1 divided by the determinant.

\left[\begin{array}{ccc}a&b\\c&d\end{array}\right]^{-1} = &#10;  \frac{1}{ad - bc}\left[\begin{array}{ccc}d&{-b}\\{-c}&a\end{array}\right] =  \\  \\ \\ \left[\begin{array}{ccc}d(\frac{1}{ad-bc})&{-b}(\frac{1}{ad-bc}) \\ {-c}(\frac{1}{ad-bc}) &a(\frac{1}{ad-bc}) \end{array}\right]

I hope this helped!
8 0
3 years ago
Shuffle a standard deck of playing cards and deal one card. define events j
grandymaker [24]
The question is missing some parts. To complete, J is the event of getting a jack and R is getting a red card.

The first question is to look for the P (J) and P (R) =
P (J) = 4/52 = 0.077; since there are only 4 jacks in a standard deck.

P (R) = 26/52 = 0.5; 26 because there are 13 each for diamonds and hearts.

The second question is to describe the event J and R in words. Then look for that event’s probability.

The card is a red jack or the card is red and a jack. P (J and R) = 2/52 = 0/038

The last question is explain why P (J or R) is not equal to P (J) + P (R). Then use the general addition rule to compute for P (J or R).

The event card is red and card is jack are not mutually exclusive meaning two or more events can happen simultaneously.  Thus one will count two cards twice unless using the general probability addition formula.

The probability for P (J ∪ R) is:P (J ∪ R) = 2 + 2 + 24 / 52 = 28/52 = 0.0538Or the other solution would be:P (J ∪ R) = 4/52 + 26/52 + 2/52 = 28/52 = 0.0538
7 0
3 years ago
The length, in millimeters of each side of a square shaped electronic chip is a rational number. What statement is true about th
AVprozaik [17]

Answer:

The diagonal is irrational because it is a product of a rational and an irrational number

Step-by-step explanation:

The options are not given. However, the question is still answerable.

Given

Shape: Square

Length: Rational

Since the side length is said to be rational, I'll answer the question based on whether the diagonal is rational or not.

Having said that:

The diagonal (d) of a square with side length (l) is calculated using Pythagoras theorem.

d^2 = l^2 + l^2

d^2 = 2l^2

Take positive square root of both sides

d = \sqrt{2l^2}

Split:

d = \sqrt{2} * \sqrt{l^2}

d = \sqrt{2} *l

Recall that the side length (l) is rational.

However, \sqrt 2 is irrational.

So, the product of l and \sqrt 2 will be irrational

Hence:

The diagonal is irrational

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Phantasy [73]

Answer:

15

Step-by-step explanation:

3 0
3 years ago
What decimal is equivalent to 45/100
AlekseyPX
<h3>♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫</h3>

➷  45/100 = 0.45

<h3><u>✽</u></h3>

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

3 0
3 years ago
Read 2 more answers
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