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4 years ago

Item 7

Mathematics

1 answer:

mars1129 [50]4 years ago

6 0

Answer:

11/24

Step-by-step explanation:

We need to make the fractions into like terms so multiple 5/6 times 4/4 and 3/8 times 3/3

5/6 times 4/4= 20/24

3/8 times 3/3 = 9/24

Now we subtract the difference 20/24-9/24=11/24

There is no way to simplify it further so 11/24 is the answer

I'm on a mission to get as many of the brainliest answers as possible, so if this explanation helped can you make it the brainliest answer? Thank you!

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Six times a number x and was added to 90 and the result is -42. What is the number

ANTONII [103]

According to the question,

6x + 90 = -42

The value of x.

<h3>Solution:</h3>

6x = -42 + 90

or, x = 48/6

or, x = 8

<h2>Answer:</h2>

The value of x is 8.

6 0

3 years ago

During a scuba dive, Lainey descended to a point 19 feet below the ocean surface. She continued her descent at a rate of 25 feet

Leno4ka [110]

Answer:

$25t+19\leq 144$

$t\leq5$

The number of minutes she can continue to descend if she does not want to reach a point more than 144 feet below the ocean surface is <u>at most 5 minutes.</u>

Step-by-step explanation:

Given:

Initial depth of the scuba dive = 19 ft

Rate of descent = 25 ft/min

Maximum depth to be reached = 144 ft

Now, after 't' minutes, the depth reached by the scuba dive is equal to the sum of the initial depth and the depth covered in 't' minutes moving at the given rate.

Framing in equation form, we get:

Total depth = Initial Depth + Rate of descent × Time

Total depth = $19+25t$

Now, as per question, the total depth should not be more than 144 feet. So,

$\textrm{Total depth}\leq 144\ ft\\\\19+25t\leq 144\\\\or\ 25t+19\leq 144$

Solving the above inequality for time 't', we get:

$25t+19\leq 144\\\\25t\leq 144-19\\\\25t\leq 125\\\\t\leq \frac{125}{25}\\\\t\leq 5\ min$

Therefore, the number of minutes she can continue to descend if she does not want to reach a point more than 144 feet below the ocean surface is at most 5 minutes.

7 0

3 years ago

Consider the rational expression (IMAGE ATTACHED)

Keith_Richards [23]

Answer:

3x² is a term in the numerator
x + 1 is a common factor
The denominator has 3 terms

Step-by-step explanation:

You can identify terms and count them before you start factoring. Doing so will identify 3x² as a term in the numerator, and will show you there are 3 terms in the denominator.

When you factor the expression, you get ...

$\dfrac{3x^2-3}{3x^2+2x-1}=\dfrac{3(x^2-1)}{(3x-1)(x+1)}=\dfrac{3(x-1)(x+1)}{(3x-1)(x+1)}$