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maw [93]
3 years ago
8

4x-3 is less or equal to -5

Mathematics
1 answer:
vampirchik [111]3 years ago
5 0
4 x -3 = -12, so yes
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Saying that 4 < x < 9 is equivalent to saying what about x
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X is less than 9, but greater than 4.

Step-by-step explanation:

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3 years ago
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how many quarts of pure antifreeze must be added to 6 quarts of a 10% antifreeze solution to obtain a 40% antifreeze solution
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First off, let's change the percentage amounts to decimal format, thus, a pure antifreeze is 100% antifreeze, so it has a 100% concentration, thus if we were to add an amount of "x", then the amount on antifreeze in that will then be (100/100) * x, or 1x, or just "x".

the mixture will be say, "y" amount of 40% antifreeze, thus, the concentrated amount in it will be (40/100) * y or 0.4y.

thus

\bf \begin{array}{lccclll}
&amount(quarts)&concentration&
\begin{array}{llll}
concentrated\\
amount
\end{array}\\
&------&------&------\\
\textit{pure antifreeze}&x&1.00&1x\\
\textit{10\% solution}&6&0.10&0.6\\
------&------&------&------\\
mixture&y&0.40&0.4y
\end{array}

now, bear in mind that, whatever "x" is,
x + 6 = y    <--- the amounts added must yield the amount of the mixture

and x + 0.6 = 0.4y <--- the contrated amounts sum will also add up to the mixture's

\bf \begin{cases}&#10;x+6=\boxed{y}\\&#10;x+0.6=0.4y\\&#10;----------\\&#10;x+0.6=0.4\left( \boxed{x+6} \right)&#10;\end{cases}&#10;\\\\\\&#10;x+0.6=0.4x+2.4\implies 0.6x=1.8\implies x=\cfrac{1.8}{0.6}

4 0
3 years ago
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An astronomer knows the distances from herself to stars A and B as well as the distance between them.
Bingel [31]

Answer:

see attachement

Step-by-step explanation:

7 0
4 years ago
I need help on determining the firs expression to evaluate 5+9+10+16÷4
Artyom0805 [142]
5+9=14+10=24+16=40/4= 10
7 0
3 years ago
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