how many quarts of a 75% acid solution must be mixed with 3 quarts of a 10% acid solution to make a 60% acid solution

10 quarts.

Step-by-step explanation:

Work with amounts of pure acid.

There is 0.10*3 quarts of pure acid in the 10% solution.

3*0.10 + 0.75x = 0.60(x + 3)    where x is the number of quarts of 75% acid.

0.30 + 0.75x = 0.60x + 1.8

0.15x = 1.5

x = 10 .

a

step-by-step explanation:

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m∠cdf = 43° , m∠gdf = 114°, m∠gde = 23°, m∠edh = 23° , m∠cdh = 157°

step-by-step explanation:

since, it is given that de bisects the angle gdh ⇒ de divides the angle gdh into two equal angles.

⇒ m∠gde = m∠edh

⇒ 8·x   - 1 = 6·x + 5

⇒ x = 3

so, m∠gde = 8·x - 1 = 23°

and m∠edh = 23°

now, it is given ∠cde is an straight angle so, m∠cde = 180°

⇒ m∠cdf + m∠fdg + m∠gde = 180°

⇒ 43° + m∠fdg + 23° = 180°

⇒ m∠fdg = 114°

again, m∠cde = m∠cdh + m∠edh = 180°

m∠cdh + 23° = 180°

⇒ m∠cdh = 157°