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sveticcg [70]
3 years ago
7

Find two mixed numbers so that the sum is 7 2/8 and the difference is 2 4/8

Mathematics
1 answer:
olga_2 [115]3 years ago
6 0
So let's name the numbers x and y.

we know that their sum, x+y is 7\frac{2}{8}

and that that their difference, x-y is 2\frac{4}{8}

so, from the last one we can find out x:

x-y=2\frac{4}{8}
x=2\frac{4}{8}+y


we can substitute this into the first one:

2\frac{4}{8}+y+y = 7\frac{2}{8}

2\frac{4}{8}+2y = 7\frac{2}{8}

2y=4\frac{6}{8} (7-2=5, but you have to "borrow" one because the fraction of the number from which you substract is smaller than of the other number)

so y=2\frac{3}{8}

then x will be
x=2\frac{4}{8}+2\frac{3}{8}
x=4\frac{7}{8}









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Ms. Johnson earns $47,000 per year. She is paid weekly and puts 8% of her salary
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3 years ago
Daisy works at an ice-cream parlor. She is paid $10 per hour for the first 8 hours she works in a day. For every extra hour she
tester [92]

Answer:

The expression giving her net earnings for a day with more than 8 hours worked is X = 80 + 15H, where H means "extra hours worked".

Step-by-step explanation:

Given that Daisy works at an ice-cream parlor earning $10 per hour for the first 8 hours she works in a day, and 1.5 times her hourly wage for every extra hour she works, in order to know how much can she make in a day working more than 8 hours the following equation has to be made:

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Therefore, if Daisy works 13 hours, the equation works as follows:

X = 80 + 15x13

X = 80 + 195

X = 275  

3 0
3 years ago
67,124 x = ________. Will the product of this equation be less than or greater than 67,124? Explain your reasoning.
sweet-ann [11.9K]

The product could be either less than or greater than 67,124.

If you multiplied by a negative number, you would get a negative number, which is less than a positive number such as 67,124.

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If you multiplied by one, you would get 67,124, which is equal to 67,124 since they are the same number.

If you multiplied by a positive number less than one, you would get a positive number greater than zero and less than 67,124.

If you multiplied by a positive number greater than one, you would get a positive number greater than 67,124.

7 0
3 years ago
Give the zeros (if any) of the quadratic function f(x)=3(x-4)(x+11).
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Set each of the binomials equal to zero and solve for x. The two values will be the zeros of the equation:
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The zeros of the equation are -11 and 4
3 0
3 years ago
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