Answer:
x<5
Step-by-step explanation:
the greater sign will firstly be changed to = for better solving so we obtain
3+9x=4(x+7)by opening bracket
3+9x=4x+28
9x-4x=28-3
5x=25
divide all through by 5x
we obtain
x=5
the greater sign change here
which is x<5
Answer:
9/4z cups
Step-by-step explanation:
Alex recipe uses 7 1/2 cups of flour for 5 batches
Cups of flour per batch = 7 1/2 cups ÷ 5 batches
= 15/2 ÷ 5
= 15/2 × 1/5
= (15*1)/(2*5)
= 15/10
Alex recipe per batch= 3/2 cups of flour per batch
paytons recipe uses 3/4 cup of flour more per batch than alexs recipe
Payton's recipe per batch = Alex recipe per batch + 3/4 cups
= 3/2 + 3/4
= (6+3)/4
= 9/4 cups of flour
Payton's recipe per batch = 9/4 cups of flour
What expression can be used to determine the number of cups of flour used to make z batches of paytons pancake recipe
Payton's recipe for z batches = Payton's recipe per batch * number of batches
= 9/4 cups * z batches
= 9/4z cups
Payton's recipe for z batches = 9/4z cups
Answer:
11/9
Step-by-step explanation:
To find the slope
m = ( y2-y1)/(x2-x1)
= ( 9 - -2)/(1 - -8)
= ( 9+2)/ (1+8)
= 11/9
Volume is length x width x height. if you double those it is 2length x 2width x 2 height so you are increasing the volume by 8 times (2x2x2). 8 x 500 = 4000<span> D.) 4,000 Toothpicks
</span>
To solve this problem you must apply the proccedure shown below:
1. The vertex i at <span>(0, 36) and a focus at (0, 39), then you have:
a=36
a^2=1296
2. The directrix is:
y=a^2=c
c=39
y=1296/39
</span>y=432/13<span>
Therefore, the answer is the option D, which is: </span><span>D. y=± 432/13</span>
