Given:
The system of equations that represent the constraints for the given situation is
To find:
The solution of given system of equations.
Solution:
We have,
...(i)
...(ii)
Multiply equation (i) by 4.
...(iii)
Subtracting (iii) from (ii), we get
Divide both sides by 12.90.
Put this value in (i).
The solution of system of equations is x=1.5 and y=2.75. It means, the yards of silk are 1.5 and yards of cotton are 2.75.
Answer:
b) Julie can use properties of congruent triangles to show that AB≅BC and BC≅CD. Then she can show BC≅AD because opposite sides of a parallelogram are congruent
Step-by-step explanation:
On the assumption that Julie must show all four sides to be congruent, the one remaining step after using the properties of congruent triangles is to show that side AD is congruent to the rest of the sides. Answer choice B describes that.
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IMO, Julie is finished after she shows∠A≅∠B and AB≅BC, because a parallelogram will be a square if adjacent sides are congruent (makes it a rhombus) and adjacent angles are congruent (makes it a rectangle). A rhombus that is a rectangle is a square.
A equals 3
Equation is g(x)=3f(x)
What i did is notice the y intercept is at 3 so I plugged in x=0 into the parent equation and got f(0)=1
So to get this equation to the y=3 intercept which is the g function, you have to multiply it by 3
Answer:
5 milk shakes
Step-by-step explanation:
From the above question, we know that for the recipe
1/3 cup of milk = 1 milk shake
15/8 cup of milk = y milk shakes
We cross Multiply
15/8 cup × 1 = 1/3cup × y
y = 15/8 cup × 1 /1/3cup
= 15/8 ÷ 1/3
= 15/8 × 3
= 45/8
= 5.625 of 5 5/8 cups of milk
Therefore, the maximum number of
milkshakes the server can make following the recipe porpotians is 5 milk shakes.
9/7 as a <span>mixed number is 1 2/7</span>
