The answer is <span>x < −8
</span>
<span>3 − (2x − 5) < −4(x + 2)
3 - 2x + 5 < -4x - 8
8 - 2x < -4x - 8
4x - 2x < -8 - 8
2x < -16
x < -8</span>
Answer:
this is how you solve it so what you gotta do is ...The constant of proportionality k is given by k=y/x where y and x are two quantities that are directly proportional to each other. Once you know the constant of proportionality you can find an equation representing the directly proportional relationship between x and y, namely y=kx, with your specific k.
Step-by-step explanation:
Answer:
15 years old
Step-by-step explanation:
Start by defining the variables that we are going to use throughout our working:
Let the current age of Wei Ling and Wei Xuan be L and X years old respectively.
Next, form equations using the given information.
<u>5 years </u><u>ago</u>
Wei Ling: (L -5) years old
Wei Xuan: (X -5) years old
Given that the ratio of Wei Ling's age to that of Wei Xuan's is 2: 5,
Cross multiply:
2(X -5)= 5(L -5)
Expand:
2X -10= 5L -25
2X= 5L -25 +10
2X= 5L -15 -----(1)
<u>9 years time</u>
Wei Ling: (L +9) years old
Wei Xuan: (X +9) years old
Given that the ratio of Wei Ling's age to that of Wei Xuan is 3: 4,
Cross multiply:
3(X +9)= 4(L +9)
Expand:
3X +27= 4L +36
3X= 4L +36 -27
3X= 4L +9 -----(2)
Let's solve using the elimination method.
(1) ×3:
6X= 15L -45 -----(3)
(2) ×2:
6X= 8L +18 -----(4)
(3) -(4):
6X -6X= 15L -45 -(8L +18)
0= 15L -45 -8L -18
0= 7L -63
7L= 63
L= 63 ÷7
L= 9
Substitute L= 9 into (1):
2X= 5(9) -15
2X= 45 -15
2X= 30
X= 30 ÷2
X= 15
Thus, Wei Xuan is 15 years old now.
Step-by-step explanation:
° put the value of x at the place of x to get y , put value of y to get x.
° x = -4
y = -2x + 3
y = -2(-4) + 3
y = 8 + 3 = 11
° x = -1
y = -2(-1)+3
y = 2 + 3
y = 5
• y = 3
y = -2x + 3
3 = -2x + 3
0 = -2x
x = 0
• y = -3
-3 = -2x + 3
-6 = -2x
x = 3
First, you add the values you're looking for (green and black, 4+3=7)you make a fraction over the total number of marbles(20). then you multiply the fraction by 5 because you drew 100 times(20×5=100).