Step 1: subtract x from -3. New equation should be y=-3-x.
Step 2: plug that equation into top equation. Should be 5x + 2(-3-x) = 9.
Step 3: use distribitive properties on 2(-3-x). New equation is 5x - 6 - 2x = 9.
Step 4: combine like terms. New equation 3x - 6 = 9.
Step 5: work it out. Divide 3x and 9 by 3. New equation is x - 6 = 3. Add 6 to -6 and 9. Final eqaution is x = 9.
Step 6: swap 9 for x in second equation. New equation is 9 + y = -3
Step 7: subtract 9 from 9 and -3. New equation is y = -12
: = = -
For the answer to the question above, first, we must calculate the standard error. The standard error is standard deviation divided by the square root of the sample. In this case, it is equal to 0.178. The z-score has defined the distance from the sample to the population mean in units of standard error.
z = (3 – 2.5)/0.178 = 2.81
at this z-score, the probability is 0.9974 or
if rounded off it is 1%
I hope my answer helped
Answer:
The correct answer is in bold below written in two different ways. I think that the two middle options of your problem were given by mistake. The correct answer is not in the options.
Step-by-step explanation:
cost of yogurt = cost of toppings + cost of yogurt with 1 topping
cost of yogurt with 1 topping = $3.65
cost of yogurt = cost of toppings + 3.65
cost of 1 additional topping = $0.45 * 1
cost of 2 additional toppings = $0.45 * 2
cost of x additional toppings = $0.45 * x = 0.45x
Since 1 topping is included in the $3.65 charge, if you pay for x additional toppings, you will have x + 1 total number of toppings. That means you must pay for only x - 1 additional toppings to have a total of x toppings.
One topping is already included in the $3.65 charge, so you pay for only x - 1 additional toppings.
cost of x - 1 additional toppings = 0.45(x - 1)
cost of yogurt = 0.45(x - 1) + 3.65
y = 0.45(x - 1) + 3.65
y = 0.45x - 0.45 + 3.65
y = 0.45x + 3.2
X=9
DBC= 54°
The given angle is 90°, so we can add the other two given equations to equal 90.
7x-9+4x=90
1) Combine like terms
11x-9=90
2) Add 9 to both sides
11x=99
3) Divide 11 on both sides
x=9
Now to find the angle:
7x-9
1) Plug 9 in for x (which is what we just solved for)
7(9)-9
2) multiply
63-9
3) subtract
54
m= 54°
Because the triangles are similar, corresponding sides have the same ratio.
.. AB/DE = BC/EC = AC/DC
.. 24/18 = 8/y = (15 +x)/15
Then we can solve for x and y.
.. x = 15*(24/18) -15 = 5
.. y = 8*(18/24) = 6
