Answer:
Step-by-steplanation:
Add: 1
2
+ 2
5
= 1 · 5
2 · 5
+ 2 · 2
5 · 2
= 5
10
+ 4
10
= 5 + 4
10
= 9
10
For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM(2, 5) = 10. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 2 × 5 = 10. In the next intermediate step the fraction result cannot be further simplified by cancelling.
In words - one half plus two fifths = nine tenths.
Conversion a mixed number 6 2
7
to a improper fraction: 6 2/7 = 6 2
7
= 6 · 7 + 2
7
= 42 + 2
7
= 44
7
To find new numerator:
a) Multiply the whole number 6 by the denominator 7. Whole number 6 equally 6 * 7
7
= 42
7
b) Add the answer from previous step 42 to the numerator 2. New numerator is 42 + 2 = 44
c) Write previous answer (new numerator 44) over the denominator 7.
Six and two sevenths is forty-four sevenths
Add: the result of step No. 1 + 44
7
= 9
10
+ 44
7
= 9 · 7
10 · 7
+ 44 · 10
7 · 10
= 63
70
+ 440
70
= 63 + 440
70
= 503
70
For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM(10, 7) = 70. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 10 × 7 = 70. In the next intermediate step the fraction result cannot be further simplified by cancelling.
In words - nine tenths plus forty-four sevenths = five hundred three seventieths.
Answer:
The density is equal to the weight divided by the volume:
The paperweight weights 300 grams.
Step-by-step explanation:
The density of the paperweight can be calculated knowing the weight and the volume of this paperweight.
The density is equal to the weight divided by the volume:
We know that the density of this paperweight is 1.5 grams per cm3, and its volume is 200 cm3.
We can use the formula of the density to calculate the weight:
The paperweight weights 300 grams.
Answer:
M
Step-by-step explanation:
M is in the middle of the alphabet, so it would be the midpoint of A-Z if they were placed on a coordinate plane.
9514 1404 393
Answer:
5. x = 160; y = 20
6. h = 125°; g = i = 55°
Step-by-step explanation:
Vertical angles are found on opposite sides of a point where lines cross. Each angle is formed from rays opposite those of the other angle. Vertical angles are congruent.
5. x° and 160° are vertical angles: x° = 160°
y° and 20° are vertical angles: y° = 20°
__
6. h° and 125° are vertical angles: h° = 125°
The angles g° and 125° form a "linear pair" so total 180°.
g° = 180° -125° = 55°
g° and i° are vertical angles: g° = i° = 55°
Answer:
36
Step-by-step explanation:
if you start with 864 and she made 24 necklaces, your math equation would be 864 divided by 24 = 36
