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2 years ago

7

Darius buys a bottle of a chemical solution that contains 70% alcohol. The bottle contains 500 ml of solution. How many millilli

ters of alcohol are in the solution

2 answers:

mars1129 [50]2 years ago

8 0

It is. 7.17285714285714 you can stop at the thousands

NARA [144]2 years ago

8 0

7.14% will be the percent. it is very long

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Determine the sum of the first 9 terms in the geometric series where r= -0.25 and a1= 256.

Damm [24]

$\bf \qquad \qquad \textit{sum of a finite geometric sequence} \\\\ S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad \begin{cases} n=n^{th}\ term\\ a_1=\textit{first term's value}\\ r=\textit{common ratio}\\ ----------\\ r=-0.25\\ a_1=256\\ n=9 \end{cases}$

$\bf S_9=256\left(\cfrac{1-(-0.25)^9}{1-(-0.25)} \right)\implies S_9=256\left( \cfrac{1+0.25^9}{1+0.25} \right) \\\\\\ S_9=256\left( \cfrac{52429}{65536}\right)\implies S_9=\cfrac{52429}{256}\implies S_9=204.80078125$

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What is the area of the object above?

stepan [7]

Answer:

Option C

Step-by-step explanation:

You need to begin by separating the shape into two distinct rectangles. The larger one has dimensions 15 cm * 8cm, while the smaller one has dimensions 7cm * 5cm. Adding these together, you get 15*8+7*5=155 square centimeters, or option C. Hope this helps!

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Judah worked at the bakery for 14 hours last week. He spent $12 of his earnings on a cake for his father’s birthday. If he was l

Irina-Kira [14]

Answer:

Judah's hourly wage is $7/hr.

Step-by-step explanation:

x = (86 + 12)/14

x = 98/14

x = 7

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How much cheaper per ounce is purchasing 7 ounces for $7.84 compared to purchasing 5 ounces for $5.70

WARRIOR [948]

7.84/7 = $1.12
5.70/5 = $1.14
1.14 - 1.12 = .2
2 cents cheaper

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2 years ago

A stack of one hundred fifty cards is placed next to a ruler, and the height of the stack is measured to be 5/8 inches.

DaniilM [7]

Divide 5/8 by 150, to see how thick each is, that'll give you 150 even pieces that add up to 5/8

$\bf \cfrac{\frac{5}{8}}{150}\implies \cfrac{\frac{5}{8}}{\frac{150}{1}}\implies \cfrac{5}{8}\cdot \cfrac{1}{150}\implies \cfrac{1}{8\cdot 30}\implies \cfrac{1}{240}$

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2 years ago