One group of people purchased 10 hot dogs and 5 soft drinks for $35. Another group purchased 7 hot dogs and 4 soft drinks for $25.25. What is the cost of a single hot dog? A single soft drink?
Answers
7 H + 4 D = $25.25 times all by 5 - 35 H - 20 D = -126.25 and subtract
Subtract 5 H = $13.75
Divide by 5 to find price of one hot dog H = $2.75
10 ($2.75) + 5 D = $35 input cost of one hot dog into first equation
$27.50 + 5 D = $35.00
- $27.50 = -$27.50
5 D = $ 7.50 divide by 5 so one drink is $1.50 then go back and check
Related Questions
A relation is:A.) the output (y) values of the relation B.) the input (x) values of the relation C.) a set of points that pair input values with output values D.) x and y values written in the form (x,y)
During your first week of training for a marathon, you run a total of 10 miles. You increase the distance you run by twenty percent. How many miles do you run during your twelfth week of training?
Find the roots of... X^2+10X+34
I'm not sure how to simplify this expression with the exponents rules of multiplication (10)(10^{3})(10^{2})
Answers
Answer:
I think I explained the circle one before so I'll explain the left question because I wanted some points.
here,
area of circle is πr² which is given= 12 π cm²
so πr²= 12π
r= 2√3
d= 2r= 4√3
AB is diameter so AB= 4√3
Answers
Answers
791=1/2(h)(26.5+30)
791=1/2(h)(56.5)
1582=(h)(56.5)
28=h
Answers
so b= 8
Answer:
8 for plato users its D
Answers
d = 3, the common difference
a(n) = a₁ + d(n-1)
a₇ = -8 + 3(7-1)
a₇ = -8 + 3(6)
a₇ = -8 + 18
a₇ = 10
To check:
a₁ = -8
a₂ = -8 + 3 = -5
a₃ = -5 + 3 = -2
a₄ = -2 + 3 = 1
a₅ = 1 + 3 = 4
a₆ = 4 + 3 = 7
a₇ = 7 + 3 = 10
3y – x = –7
The system has one solution.
The system consists of parallel lines.
Both lines have the same slope.
Both lines have the same y–intercept.
The equations represent the same line.
The lines intersect.
Answers
Answer:
The correct answers are:
- The system has one solution.
- The lines intersect.
Step-by-step explanation:
We are given system of linear equations as:
y=x-4--------(1)
and 3 y-x= -7----------(2)
on substituting the value of 'y' from equation (1) into equation (2) we have:
3(x-4)-x=-7
⇒ 3x-3×4-x=-7
⇒ 3x-x= -7+12
⇒ 2x=5
⇒
also putting the value of x into equation (1) we have:
- Hence, we get a unique value of x and y on solving the system of linear equations.
Hence, the system has one solution.
- the slope for line y=x-4 is 1 ( since on comparing the equation with y=mx+c; where m denotes the slope of line and c is the y-intercept)
y-intercept is -4
but the slope of line 3y-x = -7 i.e.
hence the slope of second line is: .
and y-intercept is .
- They represent different lines.
- the lines intersect at the point
Answer and explanation:
Given : Equations and
To find : Which statements about the system are true? Check all that apply.
Solution :
First we solve the system of equations,
.....(1)
......(2)
Substitute y from (1) in (2),
Substitute the value of x in (1),
1) The system has one solution i.e.
2) The system has solution which means it is not parallel lines.
Writing equation in slope from,
where m=1 and c=-4
where
and c=-4
3) Both lines have different slopes.
4) Both lines have the same y-intercept.
5) The equations represent the different lines.
6) The lines intersect at