Answer:
we can translate the given statement into-8 ≥ -5x + 2 > -38.
In this case, we can dissect the inequality into two parts:
-8 ≥ -5x + 2 and -5x + 2 > -38
Step-by-step explanation:
-8 ≥ -5x + 2 5x ≥ 10x ≥ 2 (closed dot)
-5x + 2 > -38 5x < 40x < 8 (open dot)
The answer then is c) number line with a closed dot on 2 and an open dot on 8 and shading in between
Answer:
x=5
Step-by-step explanation:
Answer:
2244.9
Step-by-step explanation:
Anually compound interest formula
PV(1+i)^t
1800(1+.0375)^6
1800*1.0375^6
2244.921387 which rounds to
2244.9
Answer:
y = 10
Step-by-step explanation:
based on the question if y varries directly as x
mathematically
y ∝ x
also, y varries inversly as z can be mathematically expressed as
y ∝ 1/z
combining the two expressions
y ∝ x ∝ 1/z
i. e
y = kx/z..... where k is the constant of proportionality
make k the subject of formulae
yz = kx
Divide both sides by x
k =yz/x
when y=100 , x = 5 z =10
k = 100 × 10/5
k = 200
to find y when x = 3 and z = 60
<h3>from the equation connecting x,y,z</h3>
k =yz/x
200 =60y/3
cross multiply
60y = 200 × 3
60y = 600
divide both sides by 60
y = 10
Answer: There were 78 red apples at the party.
Step-by-step explanation:
This situation can be represented by the equation
x + 3x + 2(3x) = 130 where x is the number of green apples, 3x is the number of yellow apples and 2(3x) is the number of red apples.
Now solve for x
x +3x +2(3x) =130
4x + 6x = 130
10x = 130
x = 13
Now we know that x is 13 so put it into the expression for red apples and solve for the actual number of red apples.
2 * (3*13) = ?
2 * 39 = 78
