Answer:
15, 17, 19
Step-by-step explanation:
Three consecutive odd integers can be represented by
x, x + 2, x + 4. You add 2 to each one to get the next one. Fun fact: you would do the same thing if the problem said the integers were even!
The largest integer is x + 4, so the sentence in the problem translates to an equation (sum means to add the integers together):
x + (x + 2) + (x + 4) = 2(x + 4) + 13
Distribute the 2, then combine like terms.
x + (x + 2) + (x + 4) = 2x + 8 + 13
3x + 6 = 2x + 21
Subtract 2x.
x + 6 = 21
Subtract 6.
x = 15
The integers requested are 15, 17, 19.
Check: Their sum is 51, which is 13 more than twice 19.
Answer:
x = t/4 and y = (t+17)/3
Step-by-step explanation:
4x-3y+17=0
or, 4x=3y-17
let, 4x = t
so, x = t/4
and 3y-17 = t
or, 3y = t+17
or, y = (t+17)/3
Answered by GAUTHMATH
Answer:
$18.75
Step-by-step explanation:
25% is 1/4 of 100%
72 / 4 = 1$8.75
The equation of the perpendicular line to the given line is: y = -5/4x - 30.
<h3>What is the Equation of Perpendicular Lines?</h3>
The slope values of two perpendicular lines are negative reciprocal of each other.
Given that the line is perpendicular to y = 4/5x+23, the slope of y = 4/5x+23 is 4/5. Negative reciprocal of 4/5 is -5/4.
Therefore, the line that is perpendicular to it would have a slope (m) of -5/4.
Plug in m = -5/4 and (x, y) = (-40, 20) into y = mx + b to find b:
20 = -5/4(-40) + b
20 = 50 + b
20 - 50 = b
b = -30
Substitute m = -5/4 and b = -30 into y = mx + b:
y = -5/4x - 30
The equation of the perpendicular line is: y = -5/4x - 30.
Learn more about about equation of perpendicular lines on:
brainly.com/question/7098341
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Answer:
c=
−4
3
s−t+
−4
3
Step-by-step explanation:
Let's solve for c.
3s+2t−3c−7s−5t=4
Step 1: Add 4s to both sides.
−3c−4s−3t+4s=4+4s
−3c−3t=4s+4
Step 2: Add 3t to both sides.
−3c−3t+3t=4s+4+3t
−3c=4s+3t+4
Step 3: Divide both sides by -3.
−3c
−3
=
4s+3t+4
−3
c=
−4
3
s−t+
−4
3
