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sashaice [31]
4 years ago
9

roy is going to increase the size of his patio to make room for a new BBQ grill. The ratio oof the area of the old patio to the

area of the new patio is 2 1/4: 6 3/4. Convert this ratio to a unit rate and explain.
Mathematics
2 answers:
Zigmanuir [339]4 years ago
6 0

Answer:

Step-by-step explanation:

User Zero is close but not quite right. 6 3/4 = 24/4 +3/4 = 27/4 not 27/6

And 2 1/4 = 8/4 + 1/4 = 9/4

Therefore 9/4 : 27/4 = 9: 27 = 1 : 3

1 : 3

luda_lava [24]4 years ago
4 0
The issue here is to express fractions more easily:
2 <span>1/4: 6 3/4
lets simplify fractions:
</span>2 <span>1/4 = 8/4 + 1/4 = 9/4
6 3/4 = 24/6 + 3/4 = 27/6
So the ratio can also be expressed as:
</span><span>9/4 : </span>27/6
lets find a common denominator:
54/24 : 108/24
are also equivalent, so we can reduce:
54 : 108
and finally
1 : 2

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Write a polynomial function of least degree with rational coefficients so that P(x)=0 has the given roots.
Fittoniya [83]

Answer:

If P(x) has the roots -11 and 6, then its multipliers can be written as

Step-by-step explanation:

P(x)=(x+11)(x-6)

P(x)=x2-6x+11x-66

P(x) = x2+5x-66

3 0
2 years ago
Nicole is making tuna salad for her office colleagues. It takes 2/5 of a pound of canned tuna to make 5 portions of salad. She u
jeka94

Answer:

She makes 30 portions.

Step-by-step explanation:

To find, you would multiply the amount of tuna you need by the number of onions nicole used.

6/5x2 = 12/5

12/5 ÷ 2/5 = 6

6x5 = 30

She makes 30 portions.

3 0
2 years ago
3. Given that P||S and r||q and that &lt;2 = 120 degrees, find m&lt;6.
Nikitich [7]

Answer:

  B.  60 degrees

Step-by-step explanation:

∠6 corresponds to ∠3, which is supplementary to ∠2.

  ∠6 = 180° -∠2 = 180° -120°

  ∠6 = 60°

3 0
3 years ago
A cereal manufacturer is concerned that the boxes of cereal not be under filled or overfilled.
aniked [119]

Answer:

Step-by-step explanation:

given that

A cereal manufacturer is concerned that the boxes of cereal not be under filled or overfilled.

Each box of cereal is supposed to contain 13 ounces of cereal.

A random sample of 31 boxes is tested.

The average weight is 12.58 ounces and the standard deviation is 0.25 ounces.

Sample mean = 12.58

Sample std deviation = 0.25

Sample size = 31

Sample std error = \sqrt{\frac{0.25}{\sqrt{31} } } \\=0.0449

confidence interval can be calculated using t critical value because population sd is not known.

df = 30

t critical for two tailed = 1.697

Margin of error = 1.697*0.0449\\=0.07620

conidence interval = (12.58-0.0762, 12.58+0.0762)\\=(12.5038, 12.6562)

Since this does not contain 13 oz. we reject the claim that each box contains exactly 13 oz.

4 0
4 years ago
Student Council held a bake sale to raise money for the local food pantry. They sold a total of 40 items which included pies and
Sophie [7]

Answer: 18 pies, 22 cakes

Step-by-step explanation:

Let the number of pies sold be represented by p.

Let the number of cakes be represented by c.

The information in the question can then be represented in an equation as:

p + c = 40 ........ i

10p + 8c = 356 ....... ii

Multiply equation i by 10

Multiply equation ii by 1

10p + 10c = 400 ....... iii

10p + 8c = 356 ....... iv

Subtract iv from iii

2c = 44

c = 44/2

c = 22

22 cakes were sold

Since 40 items were sold, the number of pies sold will be:

= 40 - 22

= 18 pies

5 0
3 years ago
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