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Mama L [17]
3 years ago
6

Divide 54 into two parts so that four times the greater equals five time the less​

Mathematics
1 answer:
LUCKY_DIMON [66]3 years ago
5 0
Let the both the parts be 'x' and 'y'
x>y
We know that 4x = 5y
so x = 5y/4
x + y = 54
Replacing x we get
(5y/4) + y = 54
(5y +4y)/4 = 54
9y = 216
y = 24
Replacing y in ' x+y = 54'
we get x = 30

Hence the larger part is 30 whereas the smaller part is 24
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Select the graph that would represent the best presentation of the solution set for Ixl < 5.
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Answer:

5.D1.3 select from among a variety of graphs, including stacked-bar graphs, the type of graph best suited to represent various sets of data; display

Step-by-step explanation:

7 0
2 years ago
Exponential form of 1/8
geniusboy [140]

I believe its 2 ^ -3

because

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4 0
3 years ago
Divide Rational Expressions<br> In the following exercises, divide.
guapka [62]

Answer:

\displaystyle \mathbf{\frac{5}{(c+4)}}

Step-by-step explanation:

<u>Division of Rational Expressions</u>

When dividing two rational expressions like f(c) / g(c), it's usually easier to multiply the numerator by the reciprocal of the denominator: f(c) * (1/g(c)). The reciprocal is just flipping the numerator and the denominator.

Let's find the following division:

\displaystyle \frac{\frac{c^2-64}{3c^2+26c+16}} {\frac{c^2-4c-32}{15c+10}}

First, we factor the polynomials where possible.

c^2-64 = (c-8)(c+8)

3c^2+26c+16=(3c+2)(c+8)

c^2-4c-32=(c-8)(c+4)

15c+10=5(3c+2)

Substituting:

\displaystyle \frac{\frac{c^2-64}{3c^2+26c+16}} {\frac{c^2-4c-32}{15c+10}}=\frac{\frac{(c-8)(c+8)}{(3c+2)(c+8)}} {\frac{(c-8)(c+4)}{5(3c+2)}}

Multiplying by the reciprocal of the denominator:

\displaystyle \frac{\frac{c^2-64}{3c^2+26c+16}} {\frac{c^2-4c-32}{15c+10}}=\frac{(c-8)(c+8)}{(3c+2)(c+8)}\cdot  \frac{5(3c+2)}{(c-8)(c+4)}

Simplifying by (c+8)(3c+2)(c-8):

\displaystyle \frac{\frac{c^2-64}{3c^2+26c+16}} {\frac{c^2-4c-32}{15c+10}}=\frac{5}{(c+4)}

Answer:

\displaystyle \mathbf{\mathbf{\frac{5}{(c+4)}}}

5 0
3 years ago
(II) Time intervals measured with a stopwatch typically have an uncertainty of about 0.2 s, due to human reaction time at the st
Reil [10]

Answer:

(a) 36.36%

(b) 0.36%

(c) 0.06%

Step-by-step explanation:

Given that the time intervals measured with a stopwatch have an uncertainty of about 0.2 s.

We want to know what is the percent uncertainty of a hand-timed measurement of:

(a) 5.5 s

Percentage = (0.2/5.5) × 100

≈ 36.36%

(b) 55 s

Percentage = (0.2/55)×100

≈ 0.36%

(c) 5.5 min

5.5 min = 5.5 × 60 s

= 330 s

Percentage = (0.2/330)×100

≈ 0.06%

5 0
3 years ago
A line that includes the point (10,–5) has a slope of 7. What is its equation in point-slope form?
sleet_krkn [62]
Y+5=7(x-10)
Hope this helps
3 0
3 years ago
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