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blagie [28]
3 years ago
9

The sum of two numbers is -26. One number is 148 less than the other. Find the numbers

Mathematics
1 answer:
maks197457 [2]3 years ago
5 0

Answer:

61 and -87

Step-by-step explanation:

If the numbers are x and x - 148, we can write the following equation:

x + x - 148 = -26

2x - 148 = -26

2x = 122

x = 61 so x - 148 = 61 - 148 = -87

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yarga [219]
Since 12 is 8 x 1 1/2 she needs 1 1/2 time as much fruit.


1 1/2 x 10 = 15 strawberries  and 1 1/2 x 4 = 6 oranges.

You could also solve this using proportions:

\frac{10}{8} =  \frac{n}{12}

Cross multiply and get 8n= 120  divide by 8 and get 15 strawberries

Do the same for the oranges:

\frac{4}{8} =  \frac{n}{12}

You can see that 4/8 = 1/2 so n/12 has to be 6 to be 1/2 (or solve it using cross products like I did above).
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3 years ago
Help! WHAT IS THE VALUE OF X, and can you show how you got it please?
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See the picture attached with letters to better understand the problem

in the right triangle ABD
applying the Pythagoras theorem
8²=AD²+(x+4)²-----> AD²=64-(x+4)²------> equation 1

in the right triangle ADC
applying the Pythagoras theorem
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equate equation 1 and equation 2
64-(x+4)²=144-(2x+1)²-------> 64-[x²+8x+16]=144-[4x²+4x+1]
64-x²-8x-16=144-4x²-4x-1
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using a graph tool----> to resolve the second order equation
see the attached figure N 2
the solution is
x=6.33

the answer is
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3 years ago
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5. Find a counterexample to show that the following con-
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Answer:  see below

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One example: Let x = \dfrac{1}{2}

Then x⁴ = \bigg(\dfrac{1}{2}\bigg)^4

             = \dfrac{1}{16}

\dfrac{1}{16} < \dfrac{1}{2}

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3 years ago
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