Thanks for posting your question here. The answer to the above problem is x = <span>48.125. Below is the solution:
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x+x/7+1/11(x+x/7)=60
x = x/1 = x • 7/7
x <span>• 7 + x/ 7 = 8x/7 - 60 = 0
</span>x + x/7 + 1/11 <span>• 8x/7 - 60 = 0
</span>8x <span>• 11 + 8x/ 77 = 96x/ 77
</span>96x - 4620 = 12 <span>• (8x-385)
</span>8x - 385 = 0
x = 48.125
Answer:
Step-by-step explanation:
To write a linear equation in standard form, move each variable term to the left side of the equation and simplify.
Ax+By=C
Since x is on the right side of the equation, switch the sides so it is on the left side of the equation.
8x−3=y
Move y to the left side of the equation because it contains a variable.
8x−3−y=0
Move 3 to the right side of the equation because it does not contain a variable.
8x−y=3
Answer:
y= $1.50x
Step-by-step explanation:
Each bagel is $1.50,therefore for each family member(x) the amount increaes by the same rate
3x - 4y = 8
y = mx + b ; m is the slope ; b is the y-intercept
-4y = -3x + 8
y = -3x/-4 + 8/-4
<u>y = 3/4 x - 2</u>
Need to check if the given choices have the same slope.
3x + 4y = -8
4y = -3x - 8
y = -3/4 x - 8/4 = -3/4 x - 2
6x - 8y = 12
-8y = -6x + 12
y = -6/-8 x + 12/-8
y = 3/4 x - 1 1/2
9x - 12y = 24 This equation would cause a consistent-dependent system
-12y = -9x + 24
y = -9/-12 x + 24/-12
<u>y = 3/4 x - 2</u>
16x + 12y = -10
12y = -16x - 10
y = -16/12 x - 10/12
y = -1 1/3 x - 5/6
Answer:
a) 0.70
b) 0.82
Step-by-step explanation:
a)
Let M be the event that student get merit scholarship and A be the event that student get athletic scholarship.
P(M)=0.3
P(A)=0.6
P(M∩A)=0.08
P(not getting merit scholarships)=P(M')=?
P(not getting merit scholarships)=1-P(M)
P(not getting merit scholarships)=1-0.3
P(not getting merit scholarships)=0.7
The probability that student not get the merit scholarship is 70%.
b)
P(getting at least one of two scholarships)=P(M or A)=P(M∪A)
P(getting at least one of two scholarships)=P(M)+P(A)-P(M∩A)
P(getting at least one of two scholarships)=0.3+0.6-0.08
P(getting at least one of two scholarships)=0.9-0.08
P(getting at least one of two scholarships)=0.82
The probability that student gets at least one of two scholarships is 82%.