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anygoal [31]
3 years ago
12

A baker bought a bottle of vanilla extract measuring 1 liter. He needs it for a cake recipe that requires 20 milliliters of vani

lla extract. How many times can the baker make this before runs out of vanilla extract?
Mathematics
1 answer:
Law Incorporation [45]3 years ago
4 0

The baker can make a cake 50 times before he runs out of the vanilla extract since 1 liter equates to 1000 milliliters, and 1000 divided by 20 is 50.

Hope this helps~Have a great day!

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Emily has 140 books. If Frank were to triple the number of books that he now owns, he would still have fewer than Emily has.
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B * 3 < 140
B being the number of books Frank owns. Because tripling the amount of books he owns is still less than the amount of book Emily owns, b*3 has to be less than 140
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slope = 1/2

Step-by-step explanation:

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Given two vectors A=2i+3j+4k,B=i-2j+3k find the magnitude and direction of sum<br>(physics question)
Law Incorporation [45]

Answer:

Magnitude =\sqrt{59} \\\\Direction \: of \: \overrightarrow{A + B} = \frac{3}{\sqrt {59}} , \:\frac{1}{\sqrt {59}} , \:\frac{7}{\sqrt {59}}

Step-by-step explanation:

A=2i+3j+4k

B=i-2j+3k

Sum of the vectors:

A + B = 2i+3j+4k + i-2j+3k = 3i + j + 7k

Magnitude =\sqrt{3^2 + 1^2+ 7^2} \\\\Magnitude =\sqrt{9+1+49} \\\\Magnitude =\sqrt{59}

Direction of the sum of the vectors:

\widehat{A + B} =\frac{\overrightarrow{A + B}}{Magnitude\: of \:\overrightarrow{A + B}} \\\\\widehat{A + B} =\frac{3i + j + 7k}{\sqrt {59}} \\\\\widehat{A + B} =\frac{3}{\sqrt {59}} i +\frac{1}{\sqrt {59}} j+\frac{7}{\sqrt {59}} k\\\\Direction \: of \: \overrightarrow{A + B} = \frac{3}{\sqrt {59}} , \:\frac{1}{\sqrt {59}} , \:\frac{7}{\sqrt {59}} \\\\

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2 years ago
How can I calculate the value of x
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Solve 180=10x+10 to find your answer (:
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