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Vera_Pavlovna [14]
4 years ago
5

Paula’s salad dressing recipe calls for 8 ounces of oil for every 3 ounces of vinegar. Carlo’s recipe has 1 ounce of vinegar for

every 4 ounces of oil. Whose recipe has a smaller ratio of vinegar to oil?
Paula’s dressing ratio of vinegar to oil written as a fraction is ____.
Carlo’s dressing ratio of vinegar to oil written as a fraction is ____.
A common denominator for these fractions is ____.
Whose recipe has a smaller ratio of vinegar to oil? ____.
Mathematics
2 answers:
BigorU [14]4 years ago
5 0
We know that
<span>a) Paula’s recipe calls for 8 ounces of oil for every 3 ounces of vinegar
ratio </span><span>of vinegar to oil-----> 3 ounces/8 ounces-----> 0.375

</span>
b) <span>Carlo’s recipe has 1 ounce of vinegar for every 4 ounces of oil
</span>ratio of vinegar to oil-----> 1 ounces/4 ounces---> 0.25

1) <span>Whose recipe has a smaller ratio of vinegar to oil?
0.25< 0.375
so
</span>Carlo’s recipe < Paula’s recipe
<span>
the answer Part 1) is
</span>Carlo’s recipe has a smaller ratio of vinegar to oil--- > 0.25

Part 2) <span>Paula’s dressing ratio of vinegar to oil written as a fraction is 3/8

Part 3)</span><span>Carlo’s dressing ratio of vinegar to oil written as a fraction is 1/4  (is equal to 2/8)
</span>
Part 4) <span>A common denominator for these fractions is 8</span>
lina2011 [118]4 years ago
5 0

Answer:

1. 3/8

2.1/4

3.8

4. Carlo

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pishuonlain [190]

24 and 29 are your numbers

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3 years ago
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For vectors u= (3,4) and v= (1,3) find CompuV and the angle between u and v.
vampirchik [111]

Answer:

The angle between the given vectors u and v is \theta=cos^{-1}\left[\frac{3}{\sqrt{10}}\right]

Step-by-step explanation:

Given vectors are \overrightarrow{u}=(3,4) and \overrightarrow{v}=(1,3)

Now compute the dot product of u and v:

\overrightarrow{u}.\overrightarrow{v}=(3,4).(1,3)

  =(3)(1)+(4)(3)

  =3+12

 =15

Now find the magnitude of u and v:

|\overrightarrow{u}|=\sqrt{3^2+4^2}

=\sqrt{9+16}

=\sqrt{25}

=5

|\overrightarrow{u}|=5

|\overrightarrow{v}|=\sqrt{1^2+3^2}

=\sqrt{1+9}

=\sqrt{10}

|\overrightarrow{v}|=\sqrt{10}

To find the angle between the given vectors

\overrightarrow{u}.\overrightarrow{v}=|\overrightarrow{u}|\overrightarrow{v}|cos\theta

\theta=cos^{-1}\left[\frac{\overrightarrow{u}.\overrightarrow{v}}{|\overrightarrow{u}|\overrightarrow{v}|}\right]

=cos^{-1}\left[\frac{15}{5\times \sqrt{10}}\right]

=cos^{-1}\left[\frac{15}{5\times \sqrt{10}}\right]

\theta=cos^{-1}\left[\frac{3}{\sqrt{10}}\right]

Therefore the angle between the vectors u and v is

\theta=cos^{-1}\left[\frac{3}{\sqrt{10}}\right]

3 0
3 years ago
(n-5)/(n^2-25) how would i write this faction in simplest form?
mestny [16]
\dfrac{n-5}{n^2-25}  =  \dfrac{n-5}{(n+5)(n-5)} =  \dfrac{1}{n+5}
7 0
4 years ago
Please help! (The third one is not supposed to be selected)
Verizon [17]
Let "a", "b" and "с"  be sides of the triangle ("с" is the longest side). The triangle will be right if  a² + b² = c²

A.
a² + b² = 12² + 13² = 144 + 169 = 313
c² = 25² = 625
313 ≠ 625

B.
a² + b² = 36² + 77² = 1296 + 5929 = 7225
c² = 85² = 7225
7225 = 7225  ←  right triangle

C.
45, 45, 45 ← this is an equilateral triangle (all angles = 60°)
<span>
D.
</span>a² + b² = 45² + 56² = 2025 + 3136 = 5161
c² = 67² = 4489
5161 ≠ 4489


Answer is B
4 0
4 years ago
HELP!!!!!!!!!!! Please like fast please and thank you
Maslowich

Answer:

C

Step-by-step explanation:

39-7=32

40-7=33

41-7=34

42-7=35

3 0
3 years ago
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