Answer:
4 kg of sugar would contain 
crystals.
Step-by-step explanation:
Given that 3kg of sugar contains 9 × 10⁸ crystals, let "x" represent the number of sugar crystals 4kg of sugar would contain.
Thus, set up a proportion as follows:
3 kg : 9 × 10⁸ = 4 kg : x
Solve for x. Cross multiply.
Divide both sides by 3
4 kg of sugar would contain crystals.
Answer:
Equation: (29x + 12)° + (15x - 8)° = 180°
x = 4
m∠ 5 = 52°
Step-by-step explanation:
Given:
m∠ 1 = 29x + 12,
m∠ 5 = 15x - 8
Since all lines that appear are parallel, therefore, opposite angles of the quadrilateral are congruent.
Therefore, m<1 = m<4 = 29x + 12
m<4 + m<5 = 180° (linear pair)
(29x + 12) + (15x - 8) = 180° (substitution)
The equation above is what we would use in solving for x. Let's solve for x:
29x + 12 + 15x - 8 = 180
Collect like terms
44x + 4 = 180
Subtract 4 from both sides
44x = 180 - 4
44x = 176
Divide both sides by 44
x = 176/44
x = 4
m∠ 5 = 15x - 8
Plug in the value of x
m∠ 5 = 15(4) - 8 = 60 - 8
m∠ 5 = 52°
Answer:
Balanced chemical equations only show formulae, not names. A balancing number, written in normal script, multiplies all the atoms in the substance next to it.
Answer:
2
Step-by-step explanation:
it literally doubles in size
To solve this problem, we need to multiply 2/3 by 3 1/2. We do this because we are making the recipe 3 1/2 times, which means we need the amount of milk for one recipe multiplied by the amount of times you are completing the recipe. To multiply these two numbers, we first need to convert 3 1/2 to an improper fraction. To do this, we multiply the denominator by the whole number and add the numerator, while keeping the same denominator. This is modeled below:
3 1/2 = (2*3 + 1)/2 = (6+1)/2 = 7/2
Now that we have this information, we can multiply our fractions together by simply multiplying the numerators and denominators together (straight across).
2/3 * 7/2 = (2*7)/(3*2) = 14/6
To simplify this fraction, we need to divide both the numerator and the denominator by the GCF, or greatest common factor, of the two numbers. The greatest common factor is 2.
(14/2) / (6/2) = 7/3
To convert this fraction into a mixed number, we must divide, and make the remainder into a fraction.
7/3 = 2 r 1 = 2 1/3
Therefore, your answer is 2 1/3 cups of milk.
Hope this helps!
