Write an equation to represent the following statement. The sum of j and 47 is 55.

Mathematics

1 answer:

vivado [14]3 years ago

5 0

Answer:

j+47=55

Step-by-step explanation:

“the sum of” means adding, so you add j and 47, which is or is equal to 55

j+47=55

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A group of students and teachers are going on a field trip? One ninth of the group will fit on 1/3 of a school bus. How many bus

solniwko [45]

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Write an equation of a line in slope intercept form that is perpendicular to the line 2x -3y = 12 and

ella [17]

Answer:

The equation of the line would be y = -3/2x + 9

Step-by-step explanation:

In order to solve this, start by finding the slope of the original line. You can do this by solving for y.

2x - 3y = 12

-3y = -2x + 12

y = 2/3x - 4

Now that we have a slope of 2/3, we know that the perpendicular slope is -3/2 (since perpendicular lines have opposite and reciprocal slopes). We can use this and the new point in point-slope form to find the equation.

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4 years ago

Peter have twice as many stickers as Joe. Joe has 40 more stickers than Emily. They have 300 stickers together. How many sticker

Varvara68 [4.7K]

Answer:

170

Step-by-step explanation:

The given relations can be used to write and solve an equation for the number of stickers Peter has.

<h3>Setup</h3>

Let p represent the number of stickers Peter has. That is twice as many as Joe, so Joe has (p/2) stickers. Joe has 40 more stickers than Emily, so the number of stickers Emily has is (p/2 -40).

The total number of stickers is 300:

p +p/2 +(p/2 -40) = 300

<h3>Solution</h3>

2p = 340 . . . . . . . . . . . . . . add 40, collect terms

p = 170 . . . . . . . . . . . divide by 2

Peter has 170 stickers.

<em>Additional comment</em>

Joe has 170/2 = 85 stickers. Emily has 85-40 = 45 stickers.

We could write three equations in three unknowns. Solving those using substitution would result in substantially the same equation that we have above. Or, such a system of equations could be solved using a calculator's matrix functions, as in the attachment.

p +j +e = 300

p -2j +0e = 0

0p +j -e = 40