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2 years ago

Simplify the linear expression

Mathematics

1 answer:

vekshin12 years ago

5 0

Answer:

$\huge\boxed{-\frac{7}{8}a - \frac{1}{6}}$

Step-by-step explanation:

This question utilizes combining like terms and common denominators. First you have to convert both terms including "a" to have a denominator of 8. You would do this by multiplying both the numerator, and the denominator by the same value. This value in the case of $-\frac{1}{4} a$ would be 2, and in the case of $\frac{2}{3}$ the value would be 2. This would result in the equation: $-\frac{5}{8}a+\frac{4}{6}-\frac{2}{8}a-\frac{5}{6}$ . Then simply combine like terms to get your final answer.

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The area of the poster is (x^2+2x-15) inches the width is (x-3) inches calculate the dimensions of the poster board when x=14

givi [52]

Answer:

The poster is 11 inches wide and 19 inches in height.

Step-by-step explanation:

We take the given equation: (x^2+2x-15) and we add in 14 as our x variable:

((14)^2+2(14)-15) the answer we get from that is 209. The area of the poster is 209 square inches. Then we find the width by taking (x-3) in this case x is 14 so the width of the poster is 11. In order to find the height we divide the height by the width and we get 19.

Therefore:

Height= 19 Inches

Width= 11 Inches

Total Area= 209 Square Inches

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2 years ago

Three times the sum of a number and 10 <br>24

zavuch27 [327]

Answer:

3x(10+24)

Step-by-step explanation:

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3 years ago

If 111 people attend a concert and tickets for adults cost $4 while tickets for children cost $3.25 and total receipts for the c

VikaD [51]

Answer:

57 children

54 adults

Step-by-step explanation:

Let's call x the number of children admitted and call z the number of adults admitted.

Then we know that:

$x + z = 111$

We also know that:

$3.25x + 4z = 401.25$

We want to find the value of x and z. Then we solve the system of equations:

-Multiplay the first equation by -4 and add it to the second equation:

$-4x - 4z = -444$

$3.25x + 4z = 401.25$

----------------------------------

$-0.75x = -42.75$

$x =\frac{-42.75}{-0.75}\\\\x=57$

Now we substitute the value of x in the first equation and solve for the variable z

$57 + z = 111$

$z = 111-57$

$z = 54$

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2 years ago

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Jimmy’s family moved to a tropical climate. For the year that followed, he recorded the number of days that had a temperature ab

JulsSmile [24]

The answer would be 4 as it more than 40 degrees whoch will allow to it record

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2 years ago

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Rajans school is having a raffle. The school sold raffle tickets with 3-digits. Each digit is either 1,2,or 3. The school also s

belka [17]

Answer:

Step-by-step explanation:

We are told the school sold raffle tickets, and each ticket has a digit either 1, 2, or 3. The school also sold 2 tickets with the number 000.

Therefore we have the following raffle tickets:

123

132

213

231

312

321

000

From the given information, we can deduce that the school sold 8 tickets and only one ticket can contain the number arrangement of 123, but 000 appeared twice.

Probability of 123 to be picked=

1/8 => 0.125

Probability of 000 to be picked=

2/8 => 0.25

Since the probability of 000 to be picked is greater than 123, a ticket number of 000 is more likely to be picked

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2 years ago