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3 years ago

8

Solve the proportion: It takes 6 tomatillos to make 12 ounces of enchilada sauce. How many tomatillos does it take to make 18 ou

nces of enchilada sauce?

2 answers:

rodikova [14]3 years ago

5 0

Answer:

answer is 12

Step-by-step explanation:

Lunna [17]3 years ago

4 0

Answer:

the answer is 9

Step-by-step explanation:

6= 12 half of 6 is 3 and 3 = 6 then 6 + 12 = 18

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the frame of a picture is 28 cm by 32 cm outside and is of uniform width.What is the width of the frame if 192 cm2 of the pictur

natita [175]

Answer:

The width of the frame is equal to $8\ cm$

Step-by-step explanation:

Let

x-------> the width of the frame picture

we know that

$(28-2x)(32-2x)=192$

$896-56x-64x+4x^{2} =192$

$4x^{2}-120x+704=0$

Simplify

$x^{2}-30x+176=0$

The formula to solve a quadratic equation of the form $ax^{2} +bx+c=0$ is equal to

$x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$x^{2}-30x+176=0$

so

$a=1\\b=-30\\c=176$

substitute in the formula

$x=\frac{30(+/-)\sqrt{(-30)^{2}-4(1)(176)}} {2(1)}$

$x=\frac{30(+/-)\sqrt{196}} {2}$

$x=\frac{30(+/-)14} {2}$

$x=\frac{30+14} {2}=22\ cm$ ----> this solution is not logic

$x=\frac{30-14} {2}=8\ cm$

The width of the frame is equal to $8\ cm$

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3 years ago

2<br> 11 pt<br> 5n +3 = –2(1–7n)

Mkey [24]

Answer:

Step-by-step explanation:

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3 years ago

Name all of the sets to which the real number 60 belongs

liberstina [14]

Natural, Whole, and Integers. Hopefully I helped :)

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3 years ago

Limit as x approaches 0 of csc3x/cotx

jolli1 [7]

Hello Meggieh821, to find the lim as x approaches 0 we can check this by inserting a number that is close to 0 that is coming from the left and from the right.

For instance, we can find the lim by using the number -.00001 for x and solve
<span>csc(3x) / cot(x)
</span>csc(3*-.00001) / cot(-.00001) = .333333... = 1 /3

We also need to check coming from the right. We will use the number .00001 for x
csc(3x) / cot(x)
csc(3*.00001) / cot(.00001) = .333333... = 1 /3

So since we are getting 1/3 from the left and right we can say as x approaches 0 the limit is 1/3

<span> $\lim_{x\to 0} \frac{csc(3x)}{cot(x)} = \frac{1}{3}$ </span>

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3 years ago

What makes a square a square <br> why isn't a rectangle?

Lilit [14]

A square is a geometrical figure that has 4 congruent sides and angles. This means all side lengths and angles are the same.

A rectangle is a geometrical figure that has 4 similar sides but are not the same length. However, a rectangle does have congruent angles. A rectangle has 2 sides that are double the other 2 sides, in which both of each (length & width) have the same measurement.

I hope this helps!

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3 years ago