Answer:
Adult plate = 21 , child plate = 11
Step-by-step explanation:
number of adult plate = a , no of child plate = c
$487 = $19a + $8c (equation 1)
32 = a + c (equation 2)
Multiply equation 2 by 8 gets you:
256 = 8a + 8c (equation 3)
Solve equation 1 and equation 3 simultaneously:
487 = 19a + 8c (equation 1) minus
256 = 8a + 8c (equation 3) :
231 = 11a
a = 231/11
a= 21
Substitute a = 21 into equation 2 :
32 = 21 + c
c = 32 - 21
c = 11
So 21 adult plates and 11 child plates were sold.
The slope-intercept form of the given equation ( 8x 10y=-30 ) is y = (-4/5)x - 3.
<h3>What is the slope-intercept form of the given equation?</h3>
The slope-intercept form is expressed as;
y = mx + b
Where m is the slope and b is the y-intercept.
Given the equation in the question;
8x + 10y = -30
To convert to slope intercept form, we make y the subject of the formula and simplify.
8x + 10y = -30
10y = -8x - 30
Divide each term by 10
10y/10 = -8x/10 - 30/10
y = -4x/5 - 3
y = (-4/5)x - 3
Therefore, the slope-intercept form of the given equation ( 8x 10y=-30 ) is y = (-4/5)x - 3.
Learn more about slope and y-intercept here: brainly.com/question/19824331
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Answer:
The first pair shows equivalent expressions.
Step-by-step explanation:
3(x+2), you would have to distribute 3 among x and 2, also known as expanding the expression. So you'd do 3*x + 3*2, which equals 3x+6
The first equation is 3(x+2)=3x+6
Therefore, the first pair shows equivalent expressions.
Answer:
I think A
Step-by-step explanation:
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Answer: X=15 , Y=15
Step-by-step explanation:
This triangle is a 30, 60, 90 so that means it would be - a, 2a, a on each side, so add that all together and you get x-15 and y-15
