Let's translate each sentence into "Math".
Pineapple = p
Orange = x
is means equal
Pineapple is 7 times as heavy as an orange: p = 7x
Pineapple weighs 870 grams more than orange. p = 870 + x
Substitute p = 7x into the second equation:
7x = 870 + x
Subtract x from both sides
6x = 870
divide by 6
x = 145
The orange weighs 145 grams.
The pineapple weights 7 times the orange = 7(145) = 1015 grams.
4.27/7= 0.61
Each group received 0.61 pounds of food.
Hope this helps!
Answer:
Probability of choosing a penny at random is 1/5 or 0.2
Step-by-step explanation:
For many probabilities like this one, you have to add the total of materials or items together, even if they are different colors, shape, coin type, etc.
you have 12 pennies, 19 nickles, 14 dimes, and 15 quarters. This adds up to a total of 60 coins. Twelve of those are pennies.
You have twelve possible pennies to choose at random from a total of 60 in a bag.
So 12/60/ This simplifies to a probability of 1/5. If you divide 1 by 5 than it would be 0.2
The probability of choosing a penny from a bag of coins is 1/5, or 0.2.
Hope this helps
Think: To write the equation of a line in slope-intercept form y=mx+b, you must have the slope (m) and the y-intercept (b).
g(0)= -6 tells us that the y-intercept is (0, -6). Thus, b= -6.
(0,-6) and (15,-9) are points on the line. Find the slope of the line. It is:
-9-(-6)
m = ------------- = -3/15 = -1/5
15-0
Thus, the equation of the line in question is y=(-1/5)x - 6.
Important that you understand that g(0)=-6 is also represented by (0,-6), and that -6 is the y-intercept.
