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n200080 [17]
3 years ago
14

A salad dressing is made by combining 2 part vinegar 5 part oil. How much ounces of oil should be mixed with 9 ounces of vinegar

?
Mathematics
1 answer:
11111nata11111 [884]3 years ago
3 0

\bf \begin{array}{ccll} vinegar&oil\\ \cline{1-2} 2&5\\ 9&x \end{array}\implies \cfrac{2}{9}=\cfrac{5}{x}\implies 2x=45\implies x=\cfrac{45}{2}\implies x=22\frac{1}{2}

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An elliptical culvert is 3.5 feet tall and 6 feet wide. It is filled with water to a depth of 0.95 feet. Find the width of the s
maks197457 [2]

Answer:

W_s \approx5.3

Step-by-step explanation:

From the question we are told that

Height H=3.5ft

Weight W= 6ft

Depth  D=0.95ft

Generally the equation for ellipses is given as

\frac{x^2}{a^2} +\frac{y^2}{b^2} =1

Where

b=H/2\\b=3.5/2\\Therefore\\b=1.75\\a=W/2\\a=6/2\\Therefore\\a=3\\

\frac{x^2}{3^2} +\frac{y^2}{1.75^2} =1

Generally to find y in the equation \frac{x^2}{a^2} +\frac{y^2}{b^2} =1

y=-b+d

y=-1.75+0.95

y=-0.8

Therefore

\frac{x^2}{3^2} +\frac{(0.8)^2}{1.75^2} =1

\frac{x^2}{3^2} =1-\frac{(0.8)^2}{1.75^2}

\frac{x^2}{3^2} =1-0.2089795918

X^2 =3^2(1-0.2089795918)

X^2 =7.119183674

X =\sqrt{7.119183674}

X =2.66817984

Therefore the width of the given stream is

W_s=2.66817984*2

W_s=5.33635968

W_s \approx5.3

3 0
3 years ago
The radius of a circular disc is 5.8 inches. Find the circumference. Use 3.14 for pi.
Yakvenalex [24]
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A recipe for chocolate chip cookies calls for 1.5 cups of flour for 12 cookies. Megan wants to make 2.75 times as many cookies a
lora16 [44]

Answer: 4.1 cups of flour

Step-by-step explanation: Each cookie contains 0.125 of flour. If Megan wants 2.75 times as many cookies as the recipe calls for she would have to make 33 cookies. 0.125 x 33 = 4.1 CUPS OF FLOUR.

***If you found my answer helpful, please give me the brainliest. :) ***

4 0
3 years ago
Which number describes the median of the data given in the table?​
oee [108]
Where is the table?
6 0
3 years ago
If you invest $600 at 5% interest compounded continuously, how much would you make after 6 years?
algol13

Answer:

809.915$

Step-by-step explanation:

Amount of money = Principal x e^(rate x year)

                              = 600 x e^(0.05 x 6)

                              = 809.915$

4 0
3 years ago
Read 2 more answers
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