Answer:
m=-3
Step-by-step explanation:
m=y2-y1/x2-x1
m=16-10/5-7
m=6/-2
m=-3
Answer:
The inequality for amount x (in dollars) is given by
x ≤ $33 - (cost of necklace).
Step-by-step explanation:
Let the cost of the necklace be $ y.
The amount for the necklace is constant and it is less than $33 and it is also known that the amount for the necklace will be spent.
Therefore after the necklace has been purchased and the amount deducted from $33 the remaining amount can be used completely or partly to purchase the other item.
Let the cost in dollars of the other item be $x.
The inequality for amount x (in dollars) is given by
x ≤ $33 - (cost of necklace)
Answer:
A
Step-by-step explanation:
Solving for x:
-3x + 8 ≥ 14
-3x ≥ 6
x ≤ -2
Notice the sign gets reversed when you divide or multiply by a negative number.
The only option less than -2 is -3, A.
Here's a tip: on multiple choice questions, sometimes it's faster to try each answer instead of solving the equation. This can save time on tests like the SAT or ACT.
Let's try it:
-3(-3) + 8 = 9 + 8 = 17
-3(-1) + 8 = 3 + 8 = 11
-3(0) + 8 = 0 + 8 = 8
-3(3) + 8 = -9 + 8 = -1
So you can see the answer is A.
Answer:
D.) 0.476
Step-by-step explanation:
The < sign means 'less than'. The only thing that .475 is less than is .476
Answer:
The dimensions of the garden are 22.5ft by 27.5ft
Step-by-step explanation:
Here, we want to calculate the dimensions of the garden.
let the length be x ft
we are told that the he wants the length to be 5 feet more than the width;
That means the width will be (x-5) ft
Mathematically;
Since the shape is rectangular, the perimeter will be 2( l + w)
Thus; 2(x + x-5) = 100
2(2x-5) = 100
divide both sides by 2
2x-5 = 50
2x = 50 + 5
2x = 55
x = 55/2
x = 27.5 ft
The width is thus; 27.5ft - 5ft = 22.5ft
the dimensions of the garden are 27.5 ft by 22.5 ft