Answer:
-31
Step-by-step explanation:
you have to get the variable on one side alone. so you would add the -7 to the 24 then divide by -1 because you have a -x when adding the -7 to the 24
Answer:
7/30
Step-by-step explanation:
We are given that Seven-ninths (7/9) of the pencils in a box are yellow and three-tenths (3/10) of the yellow pencils are sharpened.
To find the fraction that represents sharpened yellow pencils, we find the product of the the fraction of yellow pencils and the fraction of yellow pencils that are sharpened.
That is:
=> (7 / 9) * (3 / 10)
=(7 * 3) / (9 * 10)
= 21 / 90
= 7 / 30
7/30 represents the fraction of sharpened yellow pencils.
Bacteria growth occurs exponentially; bacteria divides into 2 every t minutes (similar to the penny doubling every day story). If one gets filled, and the contents divides once, there will be enough for 2 bottles; when these two are ready to divide, there will be enough for 4. This growth process begins very slowly - 1, 2, 4, 8, 16, 32; but it soon speeds up greatly, 64, 128, 256, 512, 1024, 2048.
Answer:
The constant of proportionality gives you the price per unit at each store.
Step-by-step explanation:
If you assume that the price (y) is directly proportional to the amount (x) you get, the formula is
y = kx
where k is the constant of proportionality.
k = y/x
k has the units of cost per unit, for example, dollars per ounce.
The fewer the dollars per ounce, the better the deal you are getting.
If store A offers apple sauce at $1.29 for 25 oz and Store B offers apple sauce at $2.89 for 50 oz, which is the better deal?
At store A, k = $1.29/25 oz = $0.052/oz or 5.2¢/oz
At store B, k = $2.89/50 oz = $0.058/oz or 5.8¢/oz
The apple sauce is cheaper at Store A.
Answer:
The price of price of the stock after it has been owned for 12 weeks is $92.55
Step-by-step explanation:
Given: The price of a particular stock is represented by the linear equation
y = -0.91x + 103.47
where x represents the number of weeks the stock has been owned and y represents the price of the stock, in dollars.
We have to find the price of price of the stock after it has been owned for 12 weeks.
Since , x represents the number of weeks the stock has been owned.
Thus, by substitute, x = 12
We get the value of y , the price of stocks.
Thus, y(x) = -0.91x + 103.47
⇒ y(12) = -0.91(12) + 103.47
⇒ y(12) = -10.92 + 103.47
Solving , we get,
⇒ y(12) = 92.55
Thus, the price of price of the stock after it has been owned for 12 weeks is $92.55.