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Reptile [31]
3 years ago
12

How did Katherine Johnson’s work in math affect us today?

Mathematics
1 answer:
Kamila [148]3 years ago
7 0

Answer:

she made electronic calculating machines in order to calibrate rockets and make everything more precise

Step-by-step explanation:

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Adalyn has a silver bracelet that is made from 1.7 g of copper and 22.3 g of silver.
vodka [1.7K]
1.7 : 22.3
17 : 223 is the ratio. Times 10 throughout
6 0
3 years ago
A caterer makes 15 3/4 quarts of tomato soup. He pours 2 cups of soup into each bowl. How many quarts of soup are in each bowl?
Sindrei [870]

<u>ANSWER:  </u>

There are 0.5 quarts in each bowl. There are 31 fully filled bowls. And left over soup is 1 cup of soup.

<u>SOLUTION: </u>

Given, a caterer makes $15 \frac{3}{4}$ which is equal to $\frac{63}{4}$ quarts of tomato soup.  

He pours 2 cups of soup into each bowl.  

Now let us find how many quarts of soup are in each bowl?  

We know that, 1 us liquid quart equals to 4 us cups.

Then, 1 quart = 4 cups

1 cup = \frac{1}{4} quarts

Here, in each bowl caterer pours two cups,

So, 2 cups = $2 \times \frac{1}{4}$ quarts

= \frac{1}{2} = 0.5 quarts

Hence, there are 0.5 quarts in each bowl.

Now let us find how many 2-cup bowls of soup can the caterer fill to the top?  

From above part, we know that, each bowl has 0.5 quarts.

Then, total bowls with 2- cups of soup = $\frac{\text {total soup}}{\text {soup in one bowl}}$

$=\frac{\frac{63}{4}}{\frac{1}{2}}$

=\frac{63}{4} \times \frac{2}{1}$$=\frac{63}{2}$$=31.5$

Here, 0.5 means that a bowl which is not filled to the top. So there are 31 fully filled bowls.

Now, let us find how many cups of soup are left over?

From above part we saw that, there are 31 fully filled bowls but there is a bowl with 0.5 quarts and which is not fully filled.

So, it is the amount of soup which is left over. i.e. 0.5 times of a bowl.

We know that, each bowl will have two cups.

Here left over bowl has half of it filled with soup

So the left over soup is 1 cup of soup.

5 0
3 years ago
10. Suppose you earn $7.25 per hour working part-time for a florist. What is the minimum number of hours you must work to earn a
UNO [17]
To make it like a simple, I'll make an equation. Let x be the number of hours because x represents unknown and we don't know the hours. Then your per hour is $7.25 right? so it would be x7.25. You want to know how many hours you will work so you can earn $125. The equation is simple as this x7.25 = 125.
All you have to do is divide the equation by 7.25 because that's your per hour.
It will look like this, <u>x7.25</u> = <u>125</u>   then the answer would be 17.24 hours. 
                                   7.25   7.25
5 0
3 years ago
2/3(6c+4)-(8c-5) Please explain how to do the problem.
irga5000 [103]
2/3(6c+4)-(8c-5)
1) Get rid of the negative signs
New equation (the ones in bold are the changes): 2/3(6c+4)+(-8c)+(5)
2) Use distributive property for the first part by multiplying 2/3*6c= 4c and 2/3*4= 2 2/3
New equation: 4c+2 2/3+ (-8c) + 5
3) Combine like terms: 4c+(-8c)= -4c and 2 2/3+5= 7 2/3
New and simplified equation: -4c+ 7 2/3
5 0
3 years ago
When will the equation p(b)=520(0.88)^b have a value less than 100?
yulyashka [42]

Answer:

The given equation will have value less than 100 whenever the value of b is greater than 12.89

Step-by-step explanation:

For the given equation, p(b) = 520 × 0.88^{b} to have a value less than 100 we can establish inequality as:

                     p(b) < 100

         or,  520 × 0.88^{b} < 100

         or, \frac{520}{520} × 0.88^{b} < \frac{100}{520}

         or, 0.88^{b} < \frac{1}{5.2}

         or, ㏒ ( 0.88^{b} ) < ㏒  (\frac{1}{5.2})

         or, b× ㏒ 0.88 < ㏒  (\frac{1}{5.2})

         or,  \frac{log (\frac{1}{5.2}) }{log (0.88)}   <  b

         or, 12.89 < b

Hence for the equation to have value less than 100, b must be greater than 12.89.

3 0
3 years ago
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