How much pure alcohol must be added to 400 ml of a 15% solution to make its strength 32%
Answers
x is pure alcohol which must be added : (x + 60)/(x + 400) = 32/100
100x + 6000 = 32x + 12800 => 68x = 6800 => x = 100
100ml pure alcohol must be added
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NYS COMMON CORE MATHEMATICS CURRICULUM Lesson 17 Date Name Lesson 17 Solutions Eric's father works two part-time jobs, onc in the morning and one in the afternoon, and works a total of 40 hours each 5-day workweek. If his schedule is the same each day, and he works 3 hours each morning, how many hours does Eric's father work each afternoon?
Solve the following system of equations by graphing and select the correct answer below:2x + 6y = 203x _ 2y = 8Answers:x = 4, y = 2x = 4, y = _2x = _2, y = 4x = 2, y = 4
The sum of two consecutive integers is less than 83. Find the pair of integers with the greatest sum.
Write a real world problem using ratios or rates that could be represented in the coordinate plane
B. -5
C. 2
D. 5
Please help me
Answers
Answer:
5
Step-by-step explanation:
Answer:D-5
Step-by-step explanation:
Answers
Answer:
b = 80°
Step-by-step explanation:
The inscribed angle measuring 100°, is supplementary to the angle opposite it in the inscribed quadrilateral.
Thus, the angle is = 80°
Therefore, b + 80° = 180° (angle on a straight line = 180°).
Thus, b = 180° - 80° = 100°.
The measure of b is 80°.
Answers
With compound interest rate of 9% over 4 period.
=> 1 dollar * .09 = 0.0081
=> 1.0081 * 0.09= 0.090729
=> 0.090729 + 1.0081 = 1.098829
=> 1.098829 * .09 = 0.09889461
=> 1.098829 *+ 0.09889461 = 1.19772361
=> 1.19772361 * .09 = 0.1077951249
=> 1.19772361 + 0.1077951249 = 1.3055187349
Or 1.31
Answer:
b. $1,4116
Step-by-step explanation:
just look in the chart it shows you the answer
Answers
Seems to me that the situation described is impossible.
If the circle's radius is 5, then its diameter is 10. The diameter of the circle
is the farthest apart that two points on the circle can be. So points 'B' and 'C'
can not be 10.91 apart.
==========================
Oh ! But wait. I gues you mean the distance between them along the circle.
(You just said "the length of BC", which usually means the straight-line distance.)
OK.
The piece of the circumference that's 10.91 long is (10.91/5) radiuses long.
So the central angle that encloses it is (10.91/5) = 2.182 radians.
Answer:
m∠BOC=2.182 radians
Step-by-step explanation:
It is given that Points B and C lie on a circle with center O and radius r = 5 units, length of BC=10.91 units, then using the formula,
where S is the arc length, r is the radius and
is in radians, thus
on substituting the values of S, r, we get
⇒
⇒
⇒
Thus, m∠BOC=2.182 radians
Answers
The estimated sum of 257 and 57 is 260.
What is estimation?
An estimation is a guess or an assumption about a value that isn't too far off, estimate in math is an approximate value close enough to the correct value. A lot of guesses are made to make math easier and clearer.
Given that, what can be the estimate the sum of 202 and 57.
To find the estimate the sum of 202 and 57, we will take round numbers for 202 and 57,
In 202, the last digit is 2 which is less than 5, so we will round down to make it 200
In 57, the last digit is 2 which is more than 5, so we will round up to make it 60
Now, 200+60 = 260
Hence, the estimated sum of 257 and 57 is 260.
Learn more about estimation, click;
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The complement of 45° is the angle that when added to 45° forms a right angle (90° ).