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bixtya [17]
3 years ago
13

What is 5/4= x/12 solve for proportion?

Mathematics
2 answers:
worty [1.4K]3 years ago
6 0
\dfrac{5}{4} =  \dfrac{x}{12}  \\ \\4*x=5*12 \\ \\4x=60 \ \ \ /:4 \\ \\x=60:4 \\ \\x=15
Diano4ka-milaya [45]3 years ago
5 0
\frac{5}{4}=\frac{x}{12}\ \ \ \ \ |cross\ multiply\\\\4\cdot x=5\cdot12\\\\4x=60\ \ \ \ \ |divide\ both\ sides\ by\ 4\\\\\boxed{x=15}
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Stanley Bank offers a money market account that earns 1.85% compounded continuously: a) If $10,000 is invested in this type of a
Alexxx [7]

Answer:

a) $1056.33 b) 23 years

Step-by-step explanation:

a) 10000(1+1.85/100)^3=10565.33 (2d.p.)

b) let x be the no. of years

15000 = 10000(1+1.85/100)^x

1.5 = 1.0185^x

ln both sides

ln 1.5 = x ln 1.0185

x = ln 1.5/ln 1.0185

=22.11

=23 years (rounded up)

5 0
3 years ago
Maleek rested a 15.5-foot ladder against a building. The base of the ladder is 8.2 feet from the building. How far up the buildi
oksian1 [2.3K]

Answer:

13.2 ft

Step-by-step explanation:

x^2 + 8.2^2 = 15.5^2

x = \sqrt{15.5^2 -8.2^2}

x = 13.2 ft

3 0
3 years ago
Suppose you have 62 feet of fencing to go around a rectangular flower garden. You want
koban [17]

Answer:

Answer is 9 feet = 9 fe 2t

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Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Week 1 2 3 4 5 Water Level (inches) − 1 1 4 1 3 8 2 1 2 − 1 5 8 − 1 3 4 Between which two weeks did the water level change the m
suter [353]

Answer:

The water level change the most in week 3 and week 4

The change = -370 inches

Step-by-step explanation:

Given - Week                              1           2            3           4            5

             Water Level (inches) − 1 1 4     1 3 8      2 1 2      -1 5 8      -1 3 4

To find - Between which two weeks did the water level change the most? Calculate the change .

Proof -

The formula for change in water level with respect to week be-

Rate of Change in Water Level = Difference in water level / Difference in weeks

Now,

For week 1 and week 2

Rate of change in water level = \frac{138 - 114}{2 - 1} = \frac{24}{1} = 24 inches

Now,

For week 1 and week 3

Rate of change in water level = \frac{212 - 114}{3 - 1} = \frac{98}{2} = 49 inches

Now,

For week 1 and week 4

Rate of change in water level = \frac{-158 - 114}{4 - 1} = -\frac{272}{3} = -90.67 inches

Now,

For week 1 and week 5

Rate of change in water level = \frac{-134 - 114}{5 - 1} = -\frac{248}{4} = -62 inches

Now,

For week 2 and week 3

Rate of change in water level = \frac{212 - 138}{3 - 2} = \frac{74}{1} = 74 inches

Now,

For week 2 and week 4

Rate of change in water level = \frac{-158 - 138}{4 - 2} = -\frac{296}{2} = -148 inches

Now,

For week 2 and week 5

Rate of change in water level = \frac{-134 - 138}{5 - 2} = -\frac{272}{3} = -90.67 inches

Now,

For week 3 and week 4

Rate of change in water level = \frac{-158 - 212}{4 - 3} = -\frac{370}{1} = -370 inches

Now,

For week 3 and week 5

Rate of change in water level = \frac{-134 - 212}{5 - 3} = -\frac{346}{2} = 173 inches

Now,

For week 4 and week 5

Rate of change in water level = \frac{-134 + 158}{5 - 4} = \frac{24}{1} = 24 inches

∴ we get

The water level change the most in week 3 and week 4

The change = -370 inches

Note :

The highest change means which temperature goes the most change in water level. It can be negative also.

So, We have to take the modulus and then find the highest number.

Here, 370 > 173

So, Highest change occurs in Week 3 and Week 4 but not in Week 3 and Week 5.

7 0
2 years ago
Help find the value of x
earnstyle [38]
Answer: the leg x would equal 76.8, or 77 rounded. The actual number would be 76.8374908492.
4 0
2 years ago
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