The Mason family's bill for dinner is $53.47. How much should they tip their server? (Assuming the standard 15% tip)
2 answers:
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Answer:
Step-by-step explanation:
We proceed to show the procedure to calculate the given fraction into a decimal form:
1) Since numerator is less than denominator, the integer component of the decimal number is zero:
2) We multiply the numerator by 10 and find the tenth digit:
Then,
3) We multiply the fraction in 2) by 10 and find the hundredth digit:
Then,
And the remainder is:
4) We multiply the remainder by 10 and divide this result by the denominator to determine the thousandth digit:
Then,
This question asks us to write a decimal correct to 2 decimal places, which has the characteristic that is infinite periodical decimal. Then, the result correct to 2 decimal places is:
For the first circle, let's use the pythagorean theorem
now, it just so happen that the hypotenuse on that triangle, is actually 17, but we used the pythagorean theorem to find it, and the pythagorean theorem only works for right-triangles.
so if the hypotenuse is actually 17, that means that triangle there is actually a right-triangle, meaning that the radius there, and the outside line there, are both meeting at a right-angle.
when an outside line touches the radius line, and they form a right-angle, the outside line is indeed a tangent line, since the point of tangency is always a right-angle with the radius.
now, let's check for second circle
well, low and behold, we didn't get our hypotenuse as 16 after all, meaning, that triangle is NOT a right-triangle, and that outside line is not touching the radius at a right-angle, therefore is NOT a tangent line.
let's check the third circle
this time, we did get our hypotenuse to 65, the triangle is a right-triangle, so the outside line is indeed a tangent line.
now, it just so happen that the hypotenuse on that triangle, is actually 17, but we used the pythagorean theorem to find it, and the pythagorean theorem only works for right-triangles.
so if the hypotenuse is actually 17, that means that triangle there is actually a right-triangle, meaning that the radius there, and the outside line there, are both meeting at a right-angle.
when an outside line touches the radius line, and they form a right-angle, the outside line is indeed a tangent line, since the point of tangency is always a right-angle with the radius.
now, let's check for second circle
well, low and behold, we didn't get our hypotenuse as 16 after all, meaning, that triangle is NOT a right-triangle, and that outside line is not touching the radius at a right-angle, therefore is NOT a tangent line.
let's check the third circle
this time, we did get our hypotenuse to 65, the triangle is a right-triangle, so the outside line is indeed a tangent line.
Answer:
Part a) The raisins cost $0.8 per ounce
Part b) 1.25 ounces
Step-by-step explanation:
<u><em>The correct question is</em></u>
Jackson bought 5 ounces of raisins for $4 dollars.
a) How much do raisins cost per ounce?
b) How many ounces of raisins can be bought for $1?
Part a) How much do raisins cost per ounce?
we know that
To find out the unit rate divide the total cost by the total weight
so
therefore
The raisins cost $0.8 per ounce
Part b) How many ounces of raisins can be bought for $1?
we know that
The raisins cost $0.8 per ounce
using proportion
Find out how many ounces of raisins can be bought for $1
Let
x -----> the ounces of raisins
Here’s the answers , it stops at 7 in the picture but here’s 8-9
8. Statement - m<1+m2=m<3+m<1
Reason - substitution property
9. Statement - m<2 = m<3
Reason - subtraction property
10. Statement - <2=<3
Reason - definition of = angles !!
8. Statement - m<1+m2=m<3+m<1
Reason - substitution property
9. Statement - m<2 = m<3
Reason - subtraction property
10. Statement - <2=<3
Reason - definition of = angles !!