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3 years ago

The correct expression for a number which is 9 times as big as the number obtained after p has been increased

Mathematics

1 answer:

defon3 years ago

4 0

Answer:

9(p + 4)

Step-by-step explanation:

One of the unknown variable is p.

First of all, we know that the number is 9 times as big (multiplication) as the new number obtained through the addition of four to p i.e (p + 4).

Translating the word problem into an algebraic expression, we have;

9 * (p + 4) = 9(p + 4)

Simplifying further, we have;

9p + 36

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A point on the terminal side of an acute angle in standard position is (1, 2 √2). Find the cosine value of this angle.

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Answer:

$cos\theta=1/3$

Step-by-step explanation:

The point at the terminal side of an acute angle is given by $(1, 2\sqrt{2} )$ .

That is,

$x = 1$ and $y= 2\sqrt{2}$ .

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3 years ago

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Step-by-step explanation:

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2 years ago

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Inside Kasi’s house, the temperature was 20°C. She stepped outside, where the temperature was 22°C cooler. Which expression repr

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3 years ago

A 6000-seat theater has tickets for sale at $26 and $40. How many tickets should be sold at each price for a sellout performa

ss7ja [257]

Answer:

x = number of tickets sold for $26 = 3900 tickets

y = number of tickets sold for $40 = 2100 tickets

Step-by-step explanation:

A 6000-seat theater has tickets for sale at $26 and $40. How many tickets should be sold at each price for a sellout performance to generate a total revenue of $185,400?

Let

x = number of tickets sold for $26

y = number of tickets sold for $40

x + y = 6000

x = 6000 - y

$26 × x + $40 × y= $185, 400

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Substitute

26(6000 - y) + 40y = 185400

156000 - 26y + 40y = 185400

Collect like terms

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y = 29400/14

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x = 6000 - 2100

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