Answer:
21 rows 2 blocks
1 row 42 blocks
Step-by-step explanation:
Given that:
Number of blocks with Annabelle = 42
First arrangement = 3 rows 14 blocks
Second arrangement = 6 rows 7 blocks
To find:
The other two factor pairs that could be used to rearrange the blocks again?
Solution:
Here, we will have to find the factor pairs of total number of blocks present with Annabelle.
i.e. 42
First of all, let us have a look at the factor pairs of 42.
Therefore, the other two factor pairs can be 2, 21 and 1, 42.
The other two possible factor pairs are:
21 rows 2 blocks
1 row 42 blocks
Step-by-step explanation:
1)X represents the time he spent in cardio.
Y represents the time he spent in weighted.
2)If you could put the options on the second one it would be better.
3)4x+y=210
3x+2y=195
y=210-4x
3x+2(210-4x)=195
3x+420-8x=195
5x=420-195
5x=225
x=45
y=30
Total time of one cardi and weighted = 75min= 5/4 h.
4)2x+4y=
90+120=210 total time of week three.
One rose is 50 cents, so 2 roses cost $1 ( 50 cents x 2).
2 roses per dollar x 20 dollars = 40 total roses sold.
When they sell $20 dollars they make $6, so that means they pay 20-6 = $14 dollars for the 40 roses.
$14 / 40 roses = 0.35 per rose.
She pays 35 cents per rose.
Answer:
(2,1)
Step-by-step explanation:
We can see that the given triangle.
The coordinates of A are (-1,5) .
The coordinates of B are (-1,-3).
The coordinates of C are (5,-3).
Distance formula: 
AB=
units
BC=
units
AC=
units
Pythagoras theorem:
Therefore, 
When a triangle satisfied the Pythagoras theorem then, the triangle is right triangle.
Hence, the given triangle is a right triangle.
We know that circum-center of right triangle is the mid point of hypotenuse.
Mid-point formula:
Using this formula then, we get
Mid-point of hypotenuse AC is given by
Hence, the circum-center of triangle is (2,1).
Answer:
t = 1.667 s
Step-by-step explanation
The distance traveled since the warning flag in feet is characterized by
d = 30*t^2 + 40*t
Where t is the time in seconds after the car starts accelerating.
We can easily solve this question by plotting the equation using a graphing calculator or plotting tool.
We need to find the time for which the distance d = 150 ft
150 = 30*t^2 + 40*t , t > =0
We can see that this value in the graph is approximately
t = 1.667 s
We can verify
30*(1.667)^2 + 40*(1.667 ) ≈ 150
