Answer:
3/10
Step-by-step explanation:
Decimals can be written in fraction form. To convert a decimal to a fraction, place the decimal number over its place value. For example, in 0.6, the six is in the tenths place, so we place 6 over 10 to create the equivalent fraction, 6/10. If needed, simplify the fraction.
As y varies directly with x, there is a proportionality constant. As x increases by that certain constant, y also increases. We equate:
y = kx
where k = proportionality constant.
Given the condition, y = 5 when x = 4, then we solve for k:
5 = k(4)
k = 5/4 or 1.25
When y = 8, then
8 = (5/4)(x)
x = 8/(5/4) = (8)(4/5) = 32/5 or 6.4 (ANSWER)
Answer:
2(2q+7)(3q-2)=0
Step-by-step explanation:
lets set up the equation equal to 0:
12q^2+34q-28=0
now, lets factor:
2(6q^2+17q-14)=0
2(2q+7)(3q-2)=0
now, lets find the solutions:
2q+7=0
2q=-7
q=-3.5
3q-2=0
3q=2
q=2/3
Answer:
The pair of shoes equal 18.
The boat equals 3
The chair equals 4
Step-by-step explanation:
Let x = shoes
You found the palm trees!
So the top picture would be
18 + x = 2x Subtract x from both sides
18 = x We found the value of the shoes.
Let's go so the last picture. We now know the shoes.
Let x = the boat now
18 = 6x Divide both sides by 6
x = 3 We found the value of the boat.
Finally, let's look at the second picture.
Let x = the chair now
3 + x = 7 Subtract 3 from both sides
x = 4 We found the value of the chair.
Answer: 4
Step-by-step explanation: