Answer:
x = 60 cents.
Step-by-step explanation:
The man wants to make up 100 one-pound jars of nuts, it means he will need 100 pounds of nuts. He plans to use 40 pounds of one type of nuts, so he needs 60 pounds of the other type of nuts to get 100 pounds.
Now, with this we can write a linear equation:
(40*0.75)+(60*x) = 100*0.66 (1)
Where:
- 0.75 is the unit price of the 40 pounds of one type of nuts.
- x is the unit price of the 60 pounds of the other type of nuts.
- 0.66 is the unit price of 100 one-pound jars.
Let's solve the equation (1) for x:
Therefore, x = 60 cents.
I hope it helps you!
Answer:
g(x) = - sqrt(x+8) reflected about the x axis and shifted 8 units to the left
h(x) = 2 sqrt(x) +1 is stretched by 2 in the y direction and shifted up 1 in the y direction
Step-by-step explanation:
y = f(x + C) C > 0 moves it left
So we moved it 8 units to the left
y = −f(x) Reflects it about x-axis
g(x) = - sqrt(x+8) reflected about the x axis and shifted 8 units to the left
y = f(x) + C C > 0 moves it up
so we moved it up 1 units
y = Cf(x) C > 1 stretches it in the y-direction
and stretched it by 2 in the y direction
h(x) = 2 sqrt(x) +1 is stretched by 2 in the y direction and shifted up 1 in the y direction
Answer:
Similarities
They both follow strict laws (typically stricter for math).
Practice makes perfect: both can be learned to points of practical perfection.
The brain must first attribute meaning or value to elements of either in order to build a learning pattern.
Differences:
Math is learned under assumptions of perfection (2 + 2 = 4 ALWAYS); whereas, language is learned under assumptions of reality (2 + 2 may be 5 for significantly larger values of 2). In other words, 2 average sized men plus 2 average sized Texans would more likely equal 5 or more average sized men.
Math is logical and language is largely artistic.
There is only one solution (or specific set of solutions) to every math problem. On the other hand, there are at least 100 different ways to express the same idea using language.
Step-by-step explanation:
Answer: 1,200 ml
Step-by-step explanation:
The ratio is 1 : 5.
If 200 ml of concentrate is used, the water used will be:
1 : 5
200 : x
x = 1,000 ml of water
The amount of juice would be:
= water + concentrate
= 1,000 + 200
= 1,200 ml
