Angie baked 100 cookies and 20 brownies. she wants to split them into equal groups for the bake sale. Each group must have the same number of cookies andbrownies with none left over. What is the greatest number of groups she can make
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Answer:
18 peas
Step-by-step explanation:
The length of a green bean pod = 8.5 centimeters
Pod contains peas that average in diameter = 0.45 centimeters.
Now we have to calculate the number of peas contains in the pod.
Therefore, we will divide the diameter of peas to the length of the pod.
=
=
= 18.89 ≈ 18 peas
Therefore,A green bean pod contains 18 peas.
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The graph of the function is attached to the solution.
The given equation is f(x) = x²+5, the power on the variable is 2, that means the equation is a quadratic equation therefore, the graph will be a parabola,
Since, there is no negative sign so, the parabola will be opened up,
Also, there are 5 units added in the equation that mean the parabola will be 5 units up from the origin.
So, the graph will be an upward opened parabola with its vertex at (0, 5)
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Answer:
I would say Graph 2 because if its showing f(x)=x2+5
there are no negatives in this equation, so I think it is graph 2
4x + 6y = 0
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Answer:
The answer to your question is: (1/2, -1/3)
Step-by-step explanation:
Elimination
10x - 15y = 10 (I)
4x + 6y = 0 (II)
Multiply (I) by 2 and (II) by -5
20x - 30y = 20
-20x - 30y = 0
Add both equations
0 - 60y = 20
y = -20/60
y = - 1/3
Substitute y in (II)
4x + 6(-1/3) = 0
4x - 2 = 0
4x = 2
x = 2/4
x = 1/2
4(1/2) + 6(-1/3) = 0
4/2 - 6/3 = 0
2 - 2 = 0
0 = 0
Answer:
(1/2, -1/3)
Step-by-step explanation:
To solve using elimination, you have to make one of the variables from both equations additive inverses. Let's make the x-variables additive inverses.
First, we multiply the first equation by -2.
-2(10x - 15y) = -2(10)
-20x + 30y = -20
Now, we muliply the second equation by 5.
5(4x + 6y) = 0
20x + 30y = 0
If you look at the x-variables, now they are additive inverses. Now we add the two equations together.
-20x + 30y = -20
20x + 30y = 0
60y = -20
/60 /60
y = -1/3
Now you plug in the known y-value into any of the first equations. Let's use 4x + 6y = 0
4x + 6(-1/3) = 0
4x - 2 = 0
+2 +2
4x = 2
/4 /4
x = 1/2
The solution to this system of equations is (1/2, -1/3). You can change to decimal form if you want. To check your work, you plug in the x and y-values into the two equations in the question.
10x - 15y = 10
10(1/2) - 15(-1/3) = 10
5 + 5 = 10
10 = 10
So, the solution is true for this equation. Let's check the second one.
4x + 6y = 0
4(1/2) + 6(-1/3) = 0
2 - 2 = 0
0 = 0
Yes! When you plug the solution into the equations, they are true! So, your solution is (1/2, -1/3).
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The number that has the same value as 30 tens is 300.
To determine number that has the same value as 30 tens, we need to understand the "place-value" system. Tens represent second digit in a number, with each ten being worth 10 units.
Since we have 30 tens, we multiply 30 by 10 to find total value.
⇒ 30 × 10 = 300,
Therefore, the number that has the same value as 30 tens is 300. This means that 300 represents the quantity of 30 tens or 30 groups of 10, reflecting the concept of place value and multiplication by powers of 10.
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