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Paraphin [41]
3 years ago
14

5x 179∘=7x 157∘ what is x?

Mathematics
1 answer:
katen-ka-za [31]3 years ago
4 0
I got X=11

Minus 7x on both sides
The equation the becomes :
-2x +179=157
Subtract 179 from both sides
Equation now is:
-2x= -22
Divide -2 on both sides
X= 11
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savannah bought two 24 packs of tim bits. she is hanging out with 4 friends. what is the greatest number of timbits each of them
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Divide the sum of -13/5 and 12/7 by the product of -31/7 and -1/2
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Let's compute the two factors separately: as for "the sum of -13/5 and 12/7", we have to rewrite the two fractions so that they have the same denominator. Since the least common multiple of 5 and 7 is 35, we will change both fractions so that they have denominator 35:


\frac{-13}{5} = \frac{-13}{5}\frac{7}{7} = \frac{-91}{35} \qquad \qquad \frac{12}{7} = \frac{12}{7}\frac{5}{5} = \frac{60}{35}


So now we can sum them:


\frac{-13}{5}+\frac{12}{7} = \frac{-91}{35}+\frac{60}{35} = \frac{-91+60}{35} = \frac{-31}{35}


Multiplication is easier, since you just have to multiply numerators and denominators with each others:


\frac{-31}{7} \frac{-1}{2} = \frac{-31 \cdot (-1)}{7\cdot 2} = \frac{31}{14}


Finally, we must divide the two fractions. Dividing by a fraction is the same this as multiplying by the inverse of that fraction, i.e. we have to switch numerator and denominator:


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8 0
3 years ago
Find an equation of variation for the given situation: y varies jointly as x and the square of z and inversely as w, and y= 27/
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9514 1404 393

Answer:

  y=\dfrac{6xz^2}{w}

Step-by-step explanation:

When y varies jointly as x and z, the equation is written ...

  y = k·x·z

Here, the joint variation is not with z, but with z². There is also an inverse variation with w, so the entire relation is ...

  y = k·x·z²/w

We want to find the value of k for the given values of the variables. So, we can solve for k to get ...

  k=\dfrac{wy}{xz^2}=\dfrac{8\cdot\dfrac{27}{2}}{2\cdot3^2}=\dfrac{4\cdot27}{2\cdot9}=2\cdot3=6

Then the equation of variation is ...

  \boxed{y=\dfrac{6xz^2}{w}}\qquad\textbf{matches B}

7 0
3 years ago
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