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Virty [35]
2 years ago
5

1. Jemima wants to make chocolate chip walnut brownles. Chocolate chips come in a 12oz bag that costs $3. Walnuts

Mathematics
1 answer:
fomenos2 years ago
7 0

Answer:

4 bags of chocolate chips and 1 bag of walnuts.

Step-by-step explanation:

Find how many ounces are in 3 pounds:

16 oz = 1 lb

16 oz × 3 = 3 lbs

48 oz = 3 lbs

Variable x = number of chocolate chips

Variable y = number of walnuts

4x + 1y = 15

Keep in mind it must equal up to 48 oz and be $15 or under.

4 bags × 12 oz = 48 oz

1 bag × 4 oz = 4 oz

48 oz + 4 oz = 52 oz > 48 oz

4 bags × $3 = $12

1 bag × $2 = $2

$12 + $2 = $14 < $15

Both requirements have been met.

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2 years ago
Help me with problem 8a and b
svetlana [45]

a. The bridge can hold at most 1000 pounds. This tells you everyone's accumulative weight needs to be less than or equal to 1000. The problem does not give your friend's weight... yet. Let x = your friend's weight.

Your friend's weight (x) plus your weight (156) plus everyone else's weight (675) must be less than or equal to (≤) 1000 pounds.

x + 156 + 675 ≤ 1000

Combine like terms (the constants) to simplify and get your final inequality:

x + 831 ≤ 1000

b. Now, we find out your friend weighs 182 pounds. x = 182. We plug this into the above equation. If it results in a true statement, then you both can walk across the bridge.

182 + 831 ≤ 1000

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8 0
3 years ago
can someone help me with this problem, please? Solve the triangle. Round decimal answers to the nearest tenth.
Novay_Z [31]

Answer:

A is about 37.6 degrees

B is about 38.4 degrees

a is about 15.7 units

Step-by-step explanation:

Using the law of sines, you know that:

\dfrac{\sin 104}{25}=\dfrac{\sin B}{16}

B\approx 38.4^{\circ}

Since all of the angles of a triangle add up to 180 degrees, angle A must be 180-104-38.4=37.6 degrees.

Finally, for side a:

\dfrac{\sin 104}{25}=\dfrac{\sin 37.6}{a}

a\approx 15.7

Hope this helps!

3 0
3 years ago
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