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3 years ago

Determine the value of the expression. -56*-8+(-3)

Mathematics

2 answers:

Novosadov [1.4K]3 years ago

4 0

Answer:

445

Step-by-step explanation:

Multiply first the -56 and -8 (PEMDAS):

-56*-8+(-3)

448 - 3(negative × negative is positive)

=445

umka2103 [35]3 years ago

3 0

-56-8+(-3)

-56 -8 -3

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Answer:

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Step-by-step explanation:

<u>Fractions and Proportions </u>

Fractions often express ratios between partial and total measures. In this context, 1/4 means 1 part out of 4 parts.

Halle goes to school with 1 liter of water in a bottle, she drinks 1/4 of the bottle before school starts. The bottle now has 3/4 of a liter of water

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Answer:

$x=\frac{12}{7} \\y=\frac{12}{5} \\z=-12$

Step-by-step explanation:

Let's re-write the equations in order to get the variables as separated in independent terms as possible \:

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$\frac{xy}{x+y} =1\\xy=x+y\\1=\frac{x+y}{xy} \\1=\frac{1}{y} +\frac{1}{x}$

Second equation:

$\frac{xz}{x+z} =2\\xz=2\,(x+z)\\\frac{1}{2} =\frac{x+z}{xz} \\\frac{1}{2} =\frac{1}{z} +\frac{1}{x}$

Third equation:

$\frac{yz}{y+z} =3\\yz=3\,(y+z)\\\frac{1}{3} =\frac{y+z}{yz} \\\frac{1}{3}=\frac{1}{z} +\frac{1}{y}$

Now let's subtract term by term the reduced equation 3 from the reduced equation 1 in order to eliminate the term that contains "y":

$1=\frac{1}{y} +\frac{1}{x} \\-\\\frac{1}{3} =\frac{1}{z} +\frac{1}{y}\\\frac{2}{3} =\frac{1}{x} -\frac{1}{z}$

Combine this last expression term by term with the reduced equation 2, and solve for "x" :

$\frac{2}{3} =\frac{1}{x} -\frac{1}{z} \\+\\\frac{1}{2} =\frac{1}{z} +\frac{1}{x} \\ \\\frac{7}{6} =\frac{2}{x}\\ \\x=\frac{12}{7}$

Now we use this value for "x" back in equation 1 to solve for "y":

$1=\frac{1}{y} +\frac{1}{x} \\1=\frac{1}{y} +\frac{7}{12}\\1-\frac{7}{12}=\frac{1}{y} \\ \\\frac{1}{y} =\frac{5}{12} \\y=\frac{12}{5}$

And finally we solve for the third unknown "z":

$\frac{1}{2} =\frac{1}{z} +\frac{1}{x} \\\\\frac{1}{2} =\frac{1}{z} +\frac{7}{12} \\\\\frac{1}{z} =\frac{1}{2}-\frac{7}{12} \\\\\frac{1}{z} =-\frac{1}{12}\\z=-12$

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3 years ago

Please help me solve this:

diamong [38]

Sec(theta) = 1.3591392 => cos(theta) = 1 / 1.3591392 = 0.7357598103

=> theta = arccos (0.7357598103) = 0.744 rad = 42.6285 degress

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