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vaieri [72.5K]
3 years ago
12

How many pounds of a 23% zinc alloy must be mixed with a 42% zinc alloy to make 516 pounds of a 37.25% zinc alloy?

Mathematics
1 answer:
nydimaria [60]3 years ago
6 0

Answer:

(A)129 Pounds

Step-by-step explanation:

Let x be the number of 23% zink alloy

Therefore:

Since the total result is 516 pounds

The number of pounds of 42% zink alloy =516-x pounds

We then have the resulting equation:

0.23x+0.42(516-x)=0.3725*516

0.23x+216.72-0.42x=192.21

Colect like terms

0.23x-0.42x=192.21-216.72

-0.19x=-24.51

Divide both sides by 129

x=129 pounds

Therefore, the number of pounds of 23% zink alloy that must be mixed is 129 pounds.

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A chef uses 2 3 cup of flour for every 1 8 cup of water in a dough recipe. If the chef follows the recipe proportions, which sta
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Step-by-step explanation:

A chef uses 2/3 cup of flour for every 1/8 cup of water in a dough recipe.

It means,

2/3 cup = 1/8 cup of water

1\ \text{cup}=\dfrac{\dfrac{1}{8}}{\dfrac{2}{3}}\\\\=0.1875

Hence, the constant of proportionality is 0.1875.

5 0
3 years ago
What is the difference of the fractions? Use the number line and equivalent fractions to help find the answer.
ipn [44]

The difference of the fraction is \mathbf{  -\dfrac{3}{4}} by using equivalent expressions.

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A number line is a diagrammatic representation of real numbers on the graduated line. It ranges from negative axis to positive axis with 0 being the center position.

A sketch showing the representation of the difference in the mixed fractions can be seen in the image attached below.

Using equivalent expressions to determine the difference between the mixed fractions, we have;

\mathbf{ = -2\frac{1}{2} - (-1\dfrac{3}{4}) }

\mathbf{ = -2\frac{1}{2} +1\dfrac{3}{4} }

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7 0
2 years ago
Find the Value of the letter in the following questions. Give your answers to 3 s.f.
Elis [28]

Answer:

i = 75.7°

h = 48.2°

Step-by-step explanation:

==>To find i, use the sine rule for finding angles: sin(A)/a = sin(B)/b

Where,

a = 7.2cm

sin(A) = i

b = 6.5cm

sin(B) = sin(61) = 0.8746

Thus:

sin(A)/7.2 = 0.8746/6.5

Multiply both sides by 7.2

sin(A) = (0.8746*7.2)/6.5

sin(A) = 0.969 (3 s.f)

A = i° = sin^-1(0.969) = 75.7 (3 s.f)

==>To find h, use the Cosine rule for angles:

Cos(C) = (a²+b²-c²)/2ab

cos(C) = h°, a = 4, b = 4.5, c = 3.5

a² = 16

b² = 20.25

c² = 12.25

cos(C) = (16+20.25-12.25)/(2*4*4.5)

cos(C) = 24/36

cos(C) = 0.667 (3 s.f)

C = h° = cos^-1(0.667) = 48.2° (3 s.f)

4 0
3 years ago
Answer for 6x-31=11x+64
PIT_PIT [208]
6x - 31 = 11x + 64
6x cancels out and you take 6x away from 11x
-31 = 5x + 64
64 cancels out and you take 64 away from -31
-95 = 5x
Divide both sides by 5
-19 = x
6 0
3 years ago
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