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3 years ago

50% of what number is 30?

Mathematics

1 answer:

mote1985 [20]3 years ago

3 0

I hope this helps you

%50.?=30

50/100.?=30

1/2.?=30

?=30.2

?=60

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A line passes through the point (1,4) and is perpendicular to the line with equations y=-1/5x+2. what's the equation of the line

jekas [21]

To find the slope of the perpendicular line, you can take the negative reciprocal of the slope of the line it is perpendicular to.

Taking the negative reciprocal of -1/5 gives 5.

Now we have y=5x+b, where b is the y-intercept. Since we know that the perpendicular line passes through the point (1,4), we can substitute those values into the equation we have to find b.

y=5x+b

4=5(1)+b

4=5+b

b=-1

Therefore, the equation of the perpendicular line is y=5x-1.

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3 years ago

-40-8b=-6(1+7b) what’s the answer

Andre45 [30]

$\text{Hey there!}$

$\mathsf{-40-8b=-6(1+7b)}\\\mathsf{SIMPLIFY\ both\ sides\ of\ your\ equation}\\\mathsf{-40-8b=-6(1+7b)}$

$\mathsf{Distribute\ the\ RIGHT\ side\ of\ the\ equation }\\\mathsf{Distribute [the\ formula\ is: a(b+c)=a(b)+a(c)=ab+ac]}\\\mathsf{-6(1)+(-6)}(7b)\\\mathsf{-6(1)=-6}\\\mathsf{-6(7b)=-42b}\\\mathsf{\rightarrow\ =-6+(-42b)}$

$\mathsf{-40-8b=-6+(-42b)}\\\mathsf{\rightarrow -8b-40=-42b-6}$

$\mathsf{ADD\ by\ 42b\ on\ your\ sides}\\\mathsf{-8b-40+42b=-42b-6+42b}\\\mathsf{SOLVE\ above\ correct\ to\ get\ us\ to\ the\ next\ step!}\\\mathsf{\rightarrow 34b-40=-6}$

$\mathsf{ADD\ by\ 40\ on\ your\ sides}\\\mathsf{34b-40+40=-6+40}\\\mathsf{Cancel\ out\ -40+40\ because\ that\ gives\ the\ result\ of\ 0}\\\mathsf{-6+40=34}\\\mathsf{\rightarrow New\ equation: 34b = 34}$

$\mathsf{DIVIDE\ both\ of\ your\ sides\ by\ 34}\\\mathsf{\dfrac{34b}{34}=\dfrac{34}{34}}\\\\\mathsf{Cancel\ out: \dfrac{34b}{34}\ because\ that\ gives\ you\ the\ result\ of\ 1b}\\\\\mathsf{Keep:\dfrac{34}{34}\ because\ it\ solves\ for\ b}\\\\\mathsf{\dfrac{34}{34}=34\div34=1}$

$\boxed{\boxed{\boxed{\boxed{\mathsf{Thus\ your\ answer\ is:\boxed{\boxed{\mathsf{b=1}}}}}}}}\checkmark$

$\text{Good luck on your assignment and enjoy your day!}$

~ $\dfrac{\frak{LoveYourselfFirst}}{:)}$

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3 years ago

2x-y=3 -x-y=3 what does this equal system of equations

Jet001 [13]

Topic : Linear equations in two variables.

Given :

2x - y = 3 ––– (i)
- x - y = 3 ––– (ii)

Solution :

Now,

(i) – (ii)

$\qquad \sf \: { \dashrightarrow 2x - y - ( - x - y) = 3 - 3}$

$\qquad \sf \: { \dashrightarrow 2x - y + x + y) = 3 - 3}$

$\qquad \sf \: { \dashrightarrow 3x = 0}$

$\qquad \bf \: { \dashrightarrow x = 0}$

Now, substituting the value of x in Eq (i) :

$\qquad \sf \: { \dashrightarrow 2x - y = 3 }$

$\qquad \sf \: { \dashrightarrow 2(0)- y = 3 }$

$\qquad \sf \: { \dashrightarrow 0- y = 3 }$

$\qquad \bf \: { \dashrightarrow y = - 3 }$

Therefore,

The value of x = 0 and y = -3

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2 years ago

Which characteristics best describe an acute isosceles triangle?

Paladinen [302]

Isocoleese means that 2 sides and hence 2 angles are same measure
acute means that all 3 angles are less than 90 degrees

We can rule out choice I since acut means less than 90

II is a possibility, but it doesn't best describe it

III. that is true, but it doesn't include the isocileese part

IV. that is true, but doesn't include the acute part

not sure, either III or IV

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2 years ago

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The distance from the center of an archery target to the outside edge of the target is 24 in. What is the diameter of the target

klemol [59]

Answer:

The diameter of the target is $48\ in$