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Darya [45]
3 years ago
12

An alloy consists of nickel, zinc, and copper in the ratio 2:7:9. How many pounds of nickel have to be used to create alloy that

contains 4.9 lb of zinc?
Mathematics
1 answer:
Hunter-Best [27]3 years ago
6 0

We are given ratio nickel to zinc to copper = 2:7:9.

From this ratio we can see that <em>ratio of nickel to zinc is 2:7</em>.

Let us assume number of pounds of nickel have to be used to create alloy that contains 4.9 lb of zinc is x pounds.

So, we can setup a proportion as :

x : 4.9 =  2:7

Or

\frac{x}{4.9}=\frac{2}{7}

On cross multiplication, we get

7x= 4.9× 2

7x = 9.8

Dividing both sides by 7, we get

x = 1.4.

<h3>Therefore, 1.4 pounds of nickel have to be used to create alloy that contains 4.9 lb of zinc.</h3><h3 />
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Ms. Leverenz is doing an art project with her class. She has a 3 foot piece of ribbon. If she gives each student an eighth of a
vesna_86 [32]

Yes, she will.

<h3>Further explanation</h3>

<u>Given:</u>

Ms. Leverenz is doing an art project with her class.

  • She has a 3-foot piece of ribbon.
  • She gives each student an eighth of a foot of ribbon.

<u>Question:</u>

Will she have enough for her class of 22 students?

<u>The Process:</u>

\boxed{ \ An \ eighth \ is \ \frac{1}{8} \ or \ equal \ to \ \frac{1 \times 125}{8 \times 125} = \frac{125}{1,000} = 0.125 \ }

Let us draw a diagram that connects between she gives each student an eighth of a foot of ribbon with 22 students in her class.

\boxed{ \ \frac{1}{8} \ }\boxed{ \ \frac{1}{8} \ }\boxed{ \ \frac{1}{8} \ } \cdot \cdot \cdot \cdot \boxed{ \ \frac{1}{8} \ }\boxed{ \ \frac{1}{8} \ } \\\boxed{1^{st}} \boxed{2^{nd}} \boxed{3^{rd}}  \cdot \cdot \cdot \cdot \boxed{21^{st}}\boxed{22^{nd}} \ student

From the diagram above, let us calculate how long (in ft) the ribbon she has given to 22 students.

\boxed{ \ \frac{1}{8} \times 22 = ? \ }

\boxed{ \ = \frac{22}{8} \ }

\boxed{ \ = \frac{16}{8} + \frac{7}{8} \ }

\boxed{ \ = 2 + \frac{7}{8} \ }

\boxed{\boxed{ \ = 2\frac{7}{8} \ }}

Therefore, there are 2\frac{7}{8}-foot piece of ribbon that she has given.

Ms. Leverenz has a 3-foot piece of ribbon.

\boxed{ \ 2\frac{7}{8} < 3 \ }

Thus, because the total number of pieces of ribbon given is smaller than the initial length, she will have enough for her class of 22 students

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Keywords: Ms. Leverenz is doing, an art project, with her class, a 3-foot piece of ribbon, she gives, each student, an eighth, will, have enough, for, her class, 22 students, diagram, smaller than

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3 years ago
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The equation of line QR is x + 2y = 2. What is the equation of a line perpendicular to line QR in slope-intercept form that cont
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Answer:

y = 2x-4

Step-by-step explanation:

x + 2y = 2

The slope intercept form is

y = mx+b where m is the slope and b is the y intercept

First find the slope of the line

2y = -x+2

Divide by 2

y = -1/2x +1

The slope of this line is -1/2

We want a line that is perpendicular, which is the negative reciprocal

-1 /(-1/2) = 2

The slope intercept form is

y = mx+b where m is the slope and b is the y intercept

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Substitute the point into the line

6 = 2(5)+b

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Marrrta [24]

Answer:

Step-by-step explanation:

Use Distributive Property: a*(b  -c) = a*b - a*c

2(3 -4k) = 2*3 - 2*4k

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2 years ago
Sorry to bother and all but i have no idea
wlad13 [49]

Answer:

t=40

Step-by-step explanation:

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How many pennies could you have if:
Gelneren [198K]

Answer:

The number of pennies owned is 7 pennies

Step-by-step explanation:

The given parameters are;

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Let the number of pennies owned = c

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If we put 6 = c - 1, we get;

c = 6 + 1 = 7

c = 7

The number of pennies owned = 7 pennies.

4 0
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