I go to the store buy pizza slices and garlic brea. The cost of one slice and one piece of garlic bread is 7$. A pizza slice costs 3 more than 3 times the cost of one garlic bread. How much does a pizza slice cost?
Answers
Answer:
$24
Step-by-step explanation:
Since the the problem said that the pizza costs 3 plus 3 times the amount of one garlic bread, we would be using the equation:
3+(3*7) =
3+21=
24
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If (x1, y1) and (x2, y2) are distinct solutions to the system of equations shown above, what is the sum of the y1 and y2?
Answers
Solving the system we can see that the sum of the y-values of the two solutions is 139.
How to get the sum of y₁ and y₂?
Let's solve the system of equations.
y = 10 + 16x − x²
y = 3x + 50
We can write this as a single quadratic equation:
10 + 16x - x² = 3x + 50
10 + 16x - x² - 3x - 50 = 0
-x² + 13x - 40 = 0
Using the quadratic formula we will get the two solutions for x:
So the two solutions are:
x = (-13 + 3)/-2 = 5
x = (-13 - 3)/-2 = 8
Evaluating the linear equation in these two values we will get y1 and y2.
if x = 5
y₁ = 3*5 + 50 = 65
if x= 8
y₂ = 3*8 + 50 = 74
The sum is:
65 + 74 =139
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Final answer:
The distinct solutions to the system of equations are (5, 65) and (8, 74), and the sum of the y-values is 139.
Explanation:
To find the sum of y-values of the distinct solutions to this system of equations, first, you need to set the two equations equal to each other to find the x-values of the solutions:
10 + 16x − x^2 = 3x + 50.
Then, solve the resulting equation for x:
x^2 - 13x + 40 = 0.
This is a quadratic equation, and it can be solved either by factoring or using the quadratic formula. The solutions for x result in:
x = 5 and x = 8.
These are the two distinct x-values for the intersections of the graphs of the two equations. To find the corresponding y-values, plug these x-values into either of the original equations. We'll use the simpler equation, y = 3x + 50:
For x = 5, y = 65 and for x = 8, y = 74.
Therefore, the distinct solutions to the system of equations are (5, 65) and (8, 74). Finally, the sum of y1 and y2 is 65 + 74 = 139.
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C. The number of favorable outcomes
D. The total number of outcomes
Answers
The answer is D because the denominator is the total number of outcomes.
Answers
depth is 3.8km
width is 7600km
ratio is 3.8:7600
Answers
That's 13 'parts' all together, comprising 364 people.
So each 'part' is 364/13 = 28 people.
Men = 5 'parts' = 5 x 28 = 140 men
Women = 8 'parts' = 8 x 28 = 224 women
Check:
140/224 = 70/112 = 35/56 =5/8
140 + 224 = 364
yay !
Answers
P=2L+2W
L=2W
subsitute L=2W for L in P=2L+2W
P=2(2W)+2W
P=4W+2W
P=6W
we know that Perimiter=30 so
30=6W
divide both sides by 6
5=Width
subsitute W=5 for W in L=2W
L=2(5)
L=10
to check
10=2(10)+2(5)
30=20+10
30=30
checks
Legnght=10
Width=5
Answers
Answer:
$20.43 is how much tip was
Step-by-step explanation:
27% >>> .27
.27 * 75.68 = 20.43 tip
Bonus: $96.11 is the all out total