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3 years ago

8

A hot chocolate recipe calls for three teaspoons of cocoa for every cup of milk. How many teaspoons of cocoa are needed for a ba

tch that uses six cups of milk?

1 answer:

V125BC [204]3 years ago

5 0

Answer:

18 tsp of cocoa

Step-by-step explanation:

3 tsp : 1 cup

? tsp : 6 cups

6 / 1 = 6

3 x 6 = 18

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What is 04.151515... into a fraction

Sergio039 [100]

Answer:

$\displaystyle 4.\overline{15} = \frac{137}{33}$ .

Step-by-step explanation:

Start by separating this decimal number into its integer part and its fraction part:

$4.151515\cdots = 4 + 0.151515\cdots$

The most challenging task here is to express $0.151515\cdots$ as a proper fraction. Once that fraction is found, expressing the original number $4.151515\cdots$ will be as simple as rewriting a mixed number as an improper fraction.

Let $x = 0.151515\cdots$ . $(x + 4)$ would then represent the original number.

Note that the repeating digits appear in groups of two. Therefore, if the digits in $x$ are shifted to the left by two places, the repeating part will continue to match:

$\begin{aligned}x = 0.&151515\cdots && \\ 100\, x = 15.& 151515\cdots \end{aligned}$ .

Note, that this "shifting" is as simple as multiplying the initial number by $100$ (same as $10$ raised to the power of the number of digits that needs to be shifted.)

Subtract the original number from the shifted number to eliminate the fraction part completely:

$\begin{aligned}&(100\, x) - x \\ &= 15.151515\cdots\\ & \phantom{=}- 0.151515\cdots\\&=15 \end{aligned}$ .

In other words:

$99\, x = 15$ .

$\displaystyle x = \frac{15}{99} = \frac{5}{33}$ .

Therefore, the original number would be:

$\displaystyle x + 4 = \frac{5}{33} = \frac{132 + 5}{33} = \frac{137}{33}$ .

4 0

3 years ago

Whats the answer to. 9(x+3)=4 x-3

lys-0071 [83]

X=-6
you could either multiply 9 on both sides or distribute the 9 and isolate the variable

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4 years ago

Cardinal Corporation, a calendar year taxpayer, receives dividend income of $250,000 from a corporation in which it holds a 10%

Nitella [24]

I think the answer is a but I’m not for sure

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3 years ago

26 = 3x - 2 - 7x show york work but please try to summarize you're explanation

Delvig [45]

26 = 3x - 2 - 7x
26 + 2 = -4x
28 / -4 = x
x = -7
Best answer me please!

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3 years ago

There are 16 kilometers in 10 miles, about how many kilometers are in five miles?

Pavlova-9 [17]

I believe it would be 8 km in five miles. I hope this helped ^^

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4 years ago