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daser333 [38]
3 years ago
14

Gary is baking pretzels for his sister’s party. Some pretzels will be regular and some pretzels will be whole grain.

Mathematics
1 answer:
9966 [12]3 years ago
7 0

Answer:

The constraints are

x+y\geq 14

2y+x\leq 20

x\geq 0

y\geq 0

Step-by-step explanation:

Let

x-------> the number of dozens of regular pretzels.

y-------> the number of dozens of whole-grain pretzels.

we know that

x+y\geq 14 --------> inequality A

2y+x\leq 20 -------> inequality B

x\geq 0 -------> inequality C  (cannot be a negative number)

y\geq 0 ------> inequality D  (cannot be a negative number)

The solution is the triangular shaded area

see the attached figure

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A chemist mixed 5 mL of Solution A with every 3 mL of Solution B to make a new solution
Nana76 [90]

Answer:

5:3

Step-by-step explanation:

Given that the chemist mixed 5 mL of Solution A with every 3 mL of Solution B to make a new solution with a new concentration.

So, the amount of Solution A in the mixture, a = 5 mL

The amount of Solution B in the mixture, b = 3 mL

Therefore, the ratio of Solution A to Solution B in the new solution with the same concentration is a:b=5:3.

Hence, the required ratio for the same concentration is 5:3.

Please note that none of the given options matched.

3 0
2 years ago
Because of heavy traffic, a bus took 30 minutes to cover a distance of 20 city blocks. How many minutes per city block did the b
aev [14]

a bus took 30 minutes-------------------------- to cover a distance of 20 city blocks<span>

   X minutes------------------------------------------------one (1) city block</span>

 I apply a rule of three

<span> X=(1)*(30)/20=1.5  </span>

 Therefore

 the bus moved 1.5 minutes/block city

<span> </span>

7 0
3 years ago
Find the area of the triangle with the given measurements. Round the solution to the nearest hundredth if necessary. B = 67°, a
kvasek [131]

Among many other formulas, the area of a triangle is


S = \frac 1 2 a c \sin B


where B is the angle between sides a and c.


S=\frac 1 2(10)(20) \sin 67^\circ \approx 92.05 \textrm{ sq cm}



Answer: 92.05 sq cm, first choice


Bonus. Here's a formula for the area S of a triangle your teacher doesn't know:


16S^2 = 4a^2b^2 -(c^2-a^2-b^2)^2=(a^2+b^2+c^2)^2-2(a^4+b^4+c^4)



7 0
3 years ago
2. Find the value of n.<br> 117°<br> 3nº
coldgirl [10]

Answer:

n = 39

Step-by-step explanation:

The base angles are congruent, that is

3n = 117 ( divide both sides by 3 )

n = 39

8 0
3 years ago
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maks197457 [2]
330 mm is equivalent to 0.33 m
7 0
3 years ago
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