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Stells [14]
3 years ago
8

Chin canned a number of quart jars anf a number of pints jars of tomatoes from hid garden. A pint is 16 onces and a quart is 32

ounces. The number of pints he canned is represented by p, and the number of quarts he canned is represented by q. Which equation models the scenario if chin canned a total of 1280 ounces?
Mathematics
1 answer:
ryzh [129]3 years ago
8 0

Answer:

The equation which models the scenario is:   16 p + 32 q  = 1280

Step-by-step explanation:

The total number of pints packed  = p

The total number of quarts  packed  = q

The weight of 1 pint jar of tomatoes  = 16 oz

So, the total weight of p pints  = p x ( Weight of 1 pint) = p x ( 16 oz) = 16 p

The weight of 1 quart jar of tomatoes  = 32 oz

So, the total weight of q quarts  = q x ( Weight of 1 quart) = q x ( 32 oz)

= 32 q

Now, the TOTAL WEIGHT of p pints and q quarts

= Total weight of { p pints +  q quarts}  = 16 p + 32 q

Also, chin canned a total of 1280 ounces.

⇒ TOTAL WEIGHT of p pints and q quarts = 1280 ounces

or,   16 p + 32 q  = 1280 ounces

Hence, equation which models the scenario is:   16 p + 32 q  = 1280

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To factor 8x^2 + bx + 3, a student correctly rewrites the trinomial 8x^2 + px + qx + 3. What is the value of pq?
sergeinik [125]
Try this option:
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3. example:
given 8x²+10x+3, the student rewrites it as a) 8x²+5x+5x+3 (5*5=25-max value); b) 8x²+0.01x+9.99x+3 (9.99*0.01=0.0999→0); c) 8x²-20x+30x+3 (p*q=-600).

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8 0
3 years ago
The sum of a student's three score is 246. if the first is 14 points more than the second, and the sum of the first two is 6 mor
mr_godi [17]
Let the second score = x
⇒ second score = x

<span>the first is 14 points more than the second
</span>⇒ first score = x + 14

<span>the sum of the first two is 6 more than twice the third
</span>⇒ third score = 1/2 (x + x + 14 - 6) = x + 4

<span>The sum of a student's three score is 246
</span>⇒ x + (x + 14) + (x + 4) = 246
<span>
Solve x:
</span>x + x + 14 + x + 4 = 246
3x + 18 = 246
3x = 228
x = 76

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7 0
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4vir4ik [10]

Answer:

f=4

Step-by-step explanation:

1) first we have to get the "f" by itself. to do this we subtract the 1 from the right side of the equation.

2) and what you do to one side you ALWAYS do to the other side!!! so subtract 1 from the 5 also

3) this leaves you with 4=f

hope this helps!

8 0
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Karen already owns 3 hair bands, and additional hair bands are priced at 8 for a dollar. How much money does Karen need to spend
kiruha [24]

Answer:

Karen needs to spend $4.5 to buy new hair bands.

Step-by-step explanation:

Given:

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By using Unitary method we get;

Money spend on new hair bands = \frac{36}{8} = \$4.5

Hence,Karen needs to spend $4.5 to buy new hair bands.

8 0
3 years ago
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