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3 years ago

Im suppose to select the number line that goes with the inequalities.

Mathematics

2 answers:

kvasek [131]3 years ago

3 0

Answer:

Number line C

Step-by-step explanation:

First, you isolate x. This gives you x>=3+4 or x>= 7. Next, you find a number line greater than or equal to which cancels out A and D. Now whichever line starts on 7, is the answer which is C

Alex73 [517]3 years ago

3 0

Answer:

Step-by-step explanation:

If you solve the equation your answer will be x≥7

This is a less than or equal to 7 so the point on the graph will be closed (or filled in) which means your closed point goes on 7 and goes down the line to the left because of the direction of the sign. (less than)

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A metallurgist needs to make 12.4 lb. of an 10) alloy containing 50% gold. He is going to melt and combine one metal that is 60%

sergeinik [125]

Now, let's say, we add "x" lbs of the 60% gold alloy, so.. how much gold is in it? well, is just 60%, so (60/100) * x, or 0.6x.

likewise, if we use "y" lbs of the 40% alloy, how much gold is in it? well, 40% of y, or (40/100) * y, or 0.4y.

now, whatever "x" and "y" are, their sum must be 12.4 lbs.

we also know that the gold amount in each added up, must equal that of the 50% resulting alloy.

$\bf \begin{array}{lccclll}
&\stackrel{lbs}{amount}&\stackrel{gold~\%}{quantity}&\stackrel{gold}{quantity}\\
&------&------&------\\
\textit{60\% alloy}&x&0.6&0.6x\\
\textit{40\% alloy}&y&0.4&0.4y\\
------&------&------&------\\
\textit{50\% alloy}&12.4&0.50&6.2
\end{array}$

$\bf \begin{cases}
x+y=12.4\implies \boxed{y}=12.4-x\\
0.6x+0.4y=6.2\\
-------------\\
0.6x+0.4\left( \boxed{12.4-x} \right)=6.2
\end{cases}
\\\\\\
0.6x-0.4x+4.96=6.2\implies 0.2x=1.24\implies x=\cfrac{1.24}{0.2}
\\\\\\
x=\stackrel{lbs}{6.2}$

how much of the 40% alloy? well, y = 12.4 - x.

5 0

3 years ago

$ 570 2% 4years simple interest

denis-greek [22]

For simple interest, just multiply all of them together

note that 2% = 0.02

570(0.02)(4) = 45.6

simple interest is 45.6

oh and if you need the equation, it is p(r)t, or principle x rate x time

hope this helps

3 0

3 years ago

For Question #1, use the graphs of f(x) and g(x) to evaluate go f (4).

spin [16.1K]

Answer:

Step-by-step explanation:

First you find what f(4) is equal to then you plug that into g(x), so in this situation f(4)=4 so we then look at g(4), which is equal to 0

3 0

3 years ago

A company has a policy of retiring company cars; this policy looks at number of miles driven, purpose of trips, style of car and

IRINA_888 [86]

Answer:

The approximate percentage of cars that remain in service between 73 and 84 months

P( 73 < x < 84 ) = 0.02145 = 2.1 %

Step-by-step explanation:

Explanation:-

Given mean of the Population 'μ ' = 51 months

Standard deviation of the Population 'σ' = 11 months

Let 'X' be the random variable of Normal distribution

Let 'X' = 73

$Z = \frac{x-mean}{S.D} = \frac{73-51}{11} = 2$

Let 'X' = 84

$Z = \frac{84-51}{11} = 3$

The approximate percentage of cars that remain in service between 73 and 84 months

P( 73 < x < 84 ) = P( 2 < Z < 3)

= P( Z<3) - P( Z <2)

= 0.5 + A(3) - ( 0.5 + A(2))

= A(3) - A( 2)

= 0.49865 - 0.4772 ( From Normal table)

= 0.02145

P( 73 < x < 84 ) = 0.02145

The approximate percentage of cars that remain in service between 73 and 84 months

P( 73 < x < 84 ) = 0.02145 = 2.1 %

7 0

3 years ago

The cost for 5 dresses for $22 22 dollars $30 35 dollars $36

ipn [44]

The expression:

2-². 2² + 2 (3²) ² + 18 / 8² / ³

it's the same as:

0BS. the number 2 the start of expression is elevated to -2 and the whole expression is being divided by 8 2/3 high.

4 0

3 years ago

Read 2 more answers