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rosijanka [135]
3 years ago
8

at a hockey game a vender sold a combined total of 234 sodas and hot dogs the number of the hot dogs sold was 50 less than the n

umber of sodas sold find the number of sodas sold and the number of hot dogs sold
Mathematics
1 answer:
Scilla [17]3 years ago
7 0
142 sodas and 92 hot dogs
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HELP PLEASE!!!!! Solve each system.
Ede4ka [16]

15.\ \text{Elimination method}\\\underline{+\left\{\begin{array}{ccc}y=-3x+9\\y=3x+3\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad2y=12\qquad\text{divide both sides by 2}\\.\qquad \boxed{y=6}\\\\\text{put the value of y to the second equation}\\\\6=3x+3\qquad\text{subtract 3 from both sides}\\3=3x\qquad\text{divide both sides by 3}\\1=x\to\boxed{x=1}\\\\Answer:\ x=1,\ y=6\to(1,\ 6)


16.\ \text{Substitution method}\\\left\{\begin{array}{ccc}y=11x+4\\y=7x-16\end{array}\right\Rightarrow11x+4=7x-16\\\\11x+4=7x-16\qquad\text{subtract 4 from both sides}\\11x=7x-20\qquad\text{subtract 7x from both sides}\\4x=-20\qquad\text{divide both sides by 4}\\\boxed{x=-5}\\\\\text{Put the value of x to the first equation}\\\\y=11(-5)+4\\y=-55+4\\\boxed{y=-51}\\\\Answer:\ x=-5,\ y=-51\to(-5,\ -51)

7 0
3 years ago
Read 2 more answers
A machine that produces ball bearings has initially been set so that the mean diameter of the bearings it produces is 0.500 inch
natali 33 [55]

Answer:

10

Step-by-step explanation:

yes because

5 0
3 years ago
What is the correct answer to this question?<br><br> F/2=5/8
ANTONII [103]

Answer:

F = 1.25

Step-by-step explanation:

All you would have to do is cross multiply, so our equations starts at \frac{F}{2} = \frac{5}{8}. We would now multiply F by 8 and 2 by 5. We now have 8F = 10. We can now divide both sides of the equation by 8 to get F = 1.25.

4 0
2 years ago
Harry owes the bank money. To repay his debt, he paid $150 back to the bank each month. After 10 months, his remaining debt was
ira [324]
If you have paid back 150 a month you multiply by 10 then you subtract $6900, your remaining balance is $5,400. Good luck with your equation.
8 0
3 years ago
Solve the system of linear equations by substitution.<br> 2x-y=3<br> x+5y=14
Arturiano [62]

Answer:

x= 29/11 or y= 25/11

Step-by-step explanation:

2x - y= 3 ...........equation 1

x + 5y= 14 ............equation 2

Make x the subject of the formula in equation 2

x= 14 - 5y ..............equation 3

Substitute x=14 - 5y in equation 1

2(14- 5y) - y=3

28 - 10y - y=3

Collect like terms

-10y - y=3 - 28

-11y= -25

divide both sides by coefficient of y

-11y/-11 = -25/-11

y= 25/11

Substitute y= 25/11 in equation 3

x=14 - 5(25/11)

x= 14 - 125/11

x= 29/11

6 0
3 years ago
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