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Naddika [18.5K]
3 years ago
12

Write this ratio as a fraction in simplest form without any units. 3 pounds to 42 ounces

Mathematics
1 answer:
mihalych1998 [28]3 years ago
8 0

without changing units, since we can have a lbs:oz ratio, and that's perfectly fine

\bf 3:42~\hspace{5em}\cfrac{\stackrel{lbs}{3}}{\stackrel{oz}{42}}\implies \stackrel{\textit{simplified}}{\cfrac{1}{14}}~\hspace{5em}1:14

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(x - 6)^2 - 12 = x^2- 12x + c. What is the value of c?
mojhsa [17]

Answer:

C = 24

Step-by-step explanation:

(x - 6)² - 12 = x² - 12x + c

(x - 6) (x - 6) -12 = x² - 12x + c

x(x - 6) - 6(x - 6) - 12 = x² - 12x + c

x² - 6x -6x + 36 - 12 = x² - 12x + c

x² - 12x +36 - 12 = x² - 12x + c

x² - 12x + 24 =   x² - 12x + c

             24 = c

4 0
2 years ago
What are the square roots of 100? Check all that apply.
Helga [31]
There are three options which are the square roots of 100, and those are C. -10, D. 10, and F. |10|
C: (-10)^2 = -10 * -10 = 100 (- * - = +)
D: 10 * 10 = 100
F: |10| = 10, and 10 * 10 = 100 (these brackets make a negative number positive, and a positive number stays positive)
6 0
3 years ago
Read 2 more answers
I need help plz and I have to show work
bija089 [108]

This is a very simple and easy problem. I'm not sure why you need someone else to solve it, but I hope this helps

a. Linear equation:

Let x be amount of movies rented

$8 + ($2.50 * x)

b.

$8 + ($2.50 * 10)

= $8 + $25.0

= $33

8 0
2 years ago
A carpenter used 9 1/2 ft of cedar for every 7 2/3 ft of redwood for a construction project. If the carpenter uses 4 3/4 ft of c
german

We can make a proportion to represent the woods used. On the top  is cedar, and on the bottom is the redwood. On the left is what was used the first time, on the right is the current problem.

Before making the proportion, let's do a preliminary step and write all the fractions as improper fractions. We do this because we can't directly multiply or divide mixed numbers, but we can with fractions.

9\frac{1}{2} =  \frac{2 * 9 + 1}{2} =\frac{19}{2}  <-- Multiply denominator times whole number and add the leftover fraction.

7\frac{2}{3} =  \frac{3 * 7 + 2}{3} =\frac{23}{3}  

4\frac{3}{4} =  \frac{4 * 4 + 3}{4} =\frac{19}{4}  

Now we set up the proportion. We solve it by cross multiplying.

\frac{Cedar}{Redwood} =\frac{Cedar}{Redwood}

\frac{19/2}{23/3} =\frac{19/4}{R}

\frac{19}{2} R = \frac{23}{3} *\frac{19}{4}

It may seem right to simplify the right side, but let's leave it alone. We divide both sides by 19/2.

R = (\frac{23}{3} *\frac{19}{4} ) / \frac{19}{2}

Dividing by a fraction means multiplying by its reciprocal. Thus,

R = \frac{23}{3} *\frac{19}{4} *  \frac{2}{19}

Here's where not simplifying really pays off. We can simplify NOW and the terms go away more easily. The 19s go away and simplify to 1, and the 2 and 4 simplify to 1 and 2.  All this happens by dividing out common numbers.

R = \frac{23}{3} *\frac{1}{2} *  \frac{1}{1}

Now we multiply all the tops and all the bottoms.

R = 23 * 1 * 1 / 3 * 2 * 1

R = 23 / 6

While R is 23/6, we need to make it a mixed number. The way we made mixed numbers as improper fractions happens here, except in reverse.

23 ÷ 6 = 3 with a remainder of 5, as 3 × 6 + 5 = 23. Thus, \frac{23}{6} = 3\frac{5}{6}.


As a result, 3\frac{5}{6} feet of redwood is needed.

8 0
3 years ago
Need help now! (probibility)
algol13

Answer:

36%, I'm fairly certian

Step-by-step explanation:

A. 90%

B. 60%

C. 30%

D. 36%

D. makes the most sense to me

6 0
3 years ago
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