Answer:
Step-by-step explanation:
Let x represent the number of spelling questions in the test.
Let y represent the number of vocabulary questions in the test.
Mrs morals wrote a test with 15 questions covering spelling and vocabulary. This means that
x + y = 15
Spelling questions (x) are worth 5 points and vocabulary questions (y) are worth 10 points. The maximum number of points possible on the test is 100. This means that
5x + 10y = 100 - - - - - - - - - - - 1
Substituting x = 15 - y into equation 1, it becomes
5(15 - y) + 10y = 100
75 - 5y + 10y = 100
- 5y + 10y = 100 - 75
5y = 25
y = 25/5 = 5
x = 15 - y = 15 - 5 = 10
Two equivalent fractions equations are
r + 6
6 + r <span />
Area is the quantity that expresses the extent of a two-dimensional figure or shape, or planar lamina, in the plane. Surface area is its analog on the two-dimensional surface of a three-dimensional object.
Have a wonderful day
Answer:
Step-by-step explanation:
<h3>(a)</h3>
The nearest squares to 220 are 14² = 196 and 15² = 225. Since 220 is closer to 225 than to 196, the nearest whole number to the square root of 220 is 15.
The square root of -220 is imaginary, so the nearest whole number value will be 15i.
__
<h3>(b)</h3>
The decimal fraction part of the root can be estimated from the nearest squares to be ...
(220 -196)/(225 -196) ≈ 0.828
Then the root of 220 to the nearest tenth is 14.8. The root of -220 to the nearest tenth will be the imaginary number 14.8i.
