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Gekata [30.6K]
3 years ago
11

Can someone please solve this problem for me?

Mathematics
1 answer:
statuscvo [17]3 years ago
5 0

Answer:

5 and 7.

Step-by-step explanation:

Hey! So to start you need to create an algebraic expression. You can express this problem through the following equation:

*Note: if x is an odd integer, x + 2 is the next consecutive odd integer.

x *(x+2)=35

Expanding, you get:

x^{2}+2x = 35.

And moving the 35 to the other side, you get a simple quadratic.

x^{2}+2x -35 =0.

Solving by factoring:

(x+7)(x-5)

This means two possible solutions for the smaller consecutive number are -7 and 5. However the question asks for two positive odd integers, so one of the numbers must be 5. The next will be 7(as its x + 2).

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You buy clothing at a sale you buy sneakers at 2/3 of their original price of $60 a sweater at 7/10 of its original price of $35
ozzi

Answer:

a. We spent all together 40.2+24.5+37.8=$102.50.

b. We saved 19.8+10.5+7.2=$37.50

c. \frac{102.50}{140}

Step-by-step explanation:

To find the amount we spend, we multiply the original price by the decimal conversion of each fraction. Then we add the amounts together.

  • Sneakers cost $60 and you bought them at 2/3=0.6666....

60(0.67)=$40.20 and saved $19.80

  • Sweater costs $35 and you bought it at 7/10=0.7

35(0.7)=$24.50 and saved $10.50

  • A jacket costs $45 and you bought it at 5/6=0.8333...

45(0.84)=$37.80 and saved $7.20

We spent all together 40.2+24.5+37.8=$102.50.

We saved 19.8+10.5+7.2=$37.50

We could of spent paying regular price 60+35+45=$140. To find the fraction we place the total we actually paid over the total regular price.

\frac{102.50}{140}



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