Answer:
55
Step-by-step explanation:
So lets take our 50 dollars.
Next, take your increase of 5%. Remember, 5% is 0.05, and it is a increase of 5%, so we are multipling 50 by 1.05.
Before we start multiplying, lets recall that this occurs twice(2 years), but this doesnt mean we multiply 50 by 1.10. No, we just mutiply 50 by 1.05 2 times:
50*1.05
=
52.5
52.5*1.05
=
55.25
So your answer is 55 dollars(rounding down).
Hope this helps!
I would pick the third choice because in order to find x, you must multipy your 4.
To solve, set up a proportion
3.25 cups x cups
---------------- = ---------------
13 servings 28 servings
Now cross multiply
13x = 28 * 3.25
Simplify.
13x = 91
Divide both sides by 13
x = 7 cups
To check your answer, use proportions again, but change the left side to 4.5 cups over 18 servings, use the same steps, if the answer is the same as above, then the answer is correct
Hello!
We know that the sum of the three angles of a triangle is equal to 180 degrees. This can be represented using the following formula:
A1 + A2 + A3 = 180
With this knowledge, we can successfully find the missing measurements.
We’ll begin with the large right triangle. Because it is a right triangle, we know that one of its angles is equal to 90 degrees. We are also given that its second angle has a measure of 65 degrees. Insert this information into the formula above and combine like terms:
(90) + (65) + A3 = 180
155 + A3 = 180
Now subtract 155 from both sides of the equation:
A3 = 25
We have now proven that the third angle has a measure of 25 degrees. Looking at the provided image, you’ll notice that this 25 degree angle is adjacent to the 80 degree angle. We can add these neighboring angles to find one of the missing angles of the medium triangle:
25 + 80 = 105
We have now proven that this larger angle has a measure of 105 degrees. Looking again at the provided image, you’ll notice that this triangle also contains a 50 degree angle. Using the “three-angles” formula, we can find the remaining angle of the medium triangle. Insert any known values and combine like terms:
(105) + (50) + A3 = 180
155 + A3 = 180
Now subtract 155 from both sides of the equation:
A3 = 25
We have now proven the third angle of the medium triangle to have a measure of 25 degrees. Consequently, we now have now proven two of the three angles of the smallest triangle. Again using the “three-angles” formula, we can find the measure of the missing angle (x). Insert any known values (using the variable “x” to represent the missing angle) and combine like terms:
(25) + (25) + (x) = 180
50 + x = 180
Now subtract 50 from both sides:
x = 130
we have now proven that the missing angle (x) has a measure of 130 degrees.
I hope this helps!
second angle which has a value of 65 degrees.
Answer:
B. 3x+5y≤20y≥1
Step-by-step explanation:
3 hours for a cap
x = cap
5 hours mittens
y = mittens
this is the amount of time
3x+5y <=20
she must do a pair of mittens
y>=1
