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Juliette [100K]
3 years ago
7

Solve for x: * 67 134 9 144

Mathematics
1 answer:
Amiraneli [1.4K]3 years ago
4 0

Answer 16(67)-10

Step-by-step explanation:

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Each pound of food C contains 6 ounces of ingredient P and 3 ounces of ingredient Q. Each pound of food D contains 4.5 ounces of
GuDViN [60]
So hmm the food C = 6p + 3q  and the food D = 4.5p + 1.5q

now, if we check how much is the ratios of C/D for each component, then, mixture M = 144p + 60q, must contain the same ratio for each "p" and "q" component

\bf \textit{ratio of "p"}\implies \cfrac{6}{4.5}\implies \cfrac{4}{3}
\\\\\\
\textit{ratio of "q"}\implies \cfrac{3}{1.5}\implies \cfrac{2}{1}

so, if we divide the 144p by 4+3, or 7 even pieces, 4 must belong to food C and 3 to food D, retaining the ratio of 4/3

and we do the same for 60q, we divide it in 2+1 or 3 even pieces, but that one is very clear, 2 must belong to food C and 1 to food D, 60/3 is clear ends up with a ratio of 40 and 20

now the "p" part... ends up as \bf \cfrac{144}{7}\cdot 4\qquad and\qquad \cfrac{144}{7}\cdot 3\implies \cfrac{576}{7}\qquad and\qquad \cfrac{432}{7}

that's what I see it, as the ratio of 4/3 and 2/1 being retained in the mixture M
7 0
3 years ago
Write a sentence to explain what a cube root of a number means.
svetlana [45]

Answer:

The cube root of a number is a special value that when used in a multiplication three times it gives that number.

Step-by-step explanation:

Example:

3 x 3 x 3

^

9 x 3 = 27

  1. 3^{3}
5 0
3 years ago
What is the area of triangle DEF
kolezko [41]

Answer:

76.5 cm²

Step-by-step explanation:

Given the triangles are similar , then

ratio of sides = a : b , so

ratio of areas = a² : b²

Here ratio of sides = 9 : 13.5 = 2 : 3

ratio of areas = 2² : 3² = 4 : 9

let x be the area of Δ DEF and using proportion

\frac{4}{34} = \frac{9}{x} ( cross- multiply )

4x = 306 ( divide both sides by 4 )

x = 76.5

The area of Δ DEF = 76.5 cm²

3 0
3 years ago
Please help me, please
Natasha_Volkova [10]

Answer:

the perimeter of the square is 9 and the area would be 90

7 0
3 years ago
How do I solve 1 1/3 × 2 2/4 is steps?​
Lina20 [59]

Answer:

40/12 or 3 1/3

Step-by-step explanation:

To multiply mixed numbers, first change any mixed number to an improper fraction. Then multiply the numerators together and the denominators together

1 1/3 as an improper fraction is 4/3 and 2 2/4 as an improper fraction is 10/4.

4*10=40

3*4=12

5 0
3 years ago
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