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Oksanka [162]
4 years ago
6

Write an expression that is equivalent to (5z+ 16). (4 points)

Mathematics
1 answer:
andreev551 [17]4 years ago
6 0
<u><em>The correct expression given is:</em></u>
\frac{3}{4} (5z + 16)

<u><em>Answer:</em></u>
option D is the correct one

<u><em>Explanation:</em></u>
<u>We will start by simplifying the given expression as follows:</u>
\frac{3}{4} (5z + 16)

<u>We will use the distributive property to get rid of the brackets as follows:</u>
\frac{3}{4} * 5z +  \frac{3}{4} * 16

<u>We will now compute the multiplication, this will give us:</u>
\frac{3*5z}{4} +  \frac{3*16}{4}  \\  \frac{15z}{4} + 12

<u>This is the simplest form of our expression.</u>
Comparing this with the choices, we will find that the <u>correct choice is D</u>

Hope this helps :)
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Larry has a gift card worth 400 for a local entertainment store Movies cost $20 each and newly released video games cost $50 eac
Vikki [24]

Answer:

All are correct.

Step-by-step explanation:

Let x be the number of movies and y be the number of newly released video games.

Larry has a gift card worth 400 for a local entertainment store Movies cost $20 each and newly released video games cost $50 each.

20x+50y\leq 400

Larry must purchase at least nine items.

x+y\geq 9

Check both inequalities of all given ordered pairs.

For (5,6),

20(5)+50(6)\leq 400\Rightarrow 400\leq 400

5+6\geq 9\Rightarrow 16\geq 9

Point (5,6) satisfy both inequalities.

For (10,4),

20(10)+50(4)\leq 400\Rightarrow 400\leq 400

10+4\geq 9\Rightarrow 14\geq 9

Point (10,4) satisfy both inequalities.

For (20,0),

20(20)+50(0)\leq 400\Rightarrow 400\leq 400

20+0\geq 9\Rightarrow 20\geq 9

Point (20,0) satisfy both inequalities.

For (15,2),

20(15)+50(2)\leq 400\Rightarrow 400\leq 400

15+2\geq 9\Rightarrow 17\geq 9

Point (15,2) satisfy both inequalities.

Therefore, all combination of movies and newly released video games Larry could purchase using his gift card.

4 0
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