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suter [353]
3 years ago
12

Tia cut a 4-meter 8-centimeter wire into 10 equal pieces. Marta cut a 540-centimeter wire into 9 equal pieces. How much longer i

s one of Marta’s wires than one of Tia’s?
First, Tia’s wire is 4 meters and 8 centimeters long, so that means it’s 408 centimeters long, then you divide that by 10:
tia = 408/10 = 40.8 cm

Now, Marta’s wire is 540 centimeters long and we have to divide that into 9 pieces:
Marta = 540/9 = 60 cm

Finally subtract Marta’s and Tia’s pieces: 60 - 40.8 = 19.2
So Marta’s pieces are 19.2 centimeters longer than Tia’s
Mathematics
1 answer:
bearhunter [10]3 years ago
4 0

Answer:

19.2

Step-by-step explanation:

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0.8 i think

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3 years ago
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13. Janine has job offers at two companies. One
Firdavs [7]

9514 1404 393

Answer:

  • 13 years
  • $62,000

Step-by-step explanation:

a) The 36000 -23000 = 13000 difference in salary is being made up at the rate of 3000 -2000 = 1000 per year. It will take 13000/1000 = 13 years for the salaries to be the same.

__

b) After 13 years, the salary will be ...

  23000 +13(3000) = 23000 +39000 = 62,000 . . . dollars

  36000 +13(2000) = 36000 +26000 = 62,000 . . . dollars

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3 years ago
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A washer and dryer cost $989 combined. The washer costs $89 more then the dryer. What is the cost of the dryer?
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Answer The washer costs $539.  The dryer cost $450

Step-by-step explanation:

7 0
2 years ago
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Please Help!!
Genrish500 [490]

Given

a\sqrt{x+b}+c=d

we have

\sqrt{x+b}=\dfrac{d-c}{a}

Squaring both sides, we have

x+b=\dfrac{(d-c)^2}{a^2}

And finally

x=\dfrac{(d-c)^2}{a^2}-b

Note that, when we square both sides, we have to assume that

\dfrac{d-c}{a}>0

because we're assuming that this fraction equals a square root, which is positive.

So, if that fraction is positive you'll actually have roots: choose

a=1,\ b=0,\ c=2,\ d=6

and you'll have

\sqrt{x}+2=6 \iff \sqrt{x}=4 \iff x=16

Which is a valid solution. If, instead, the fraction is negative, you'll have extraneous roots: choose

a=1,\ b=0,\ c=10,\ d=4

and you'll have

\sqrt{x}+10=4 \iff \sqrt{x}=-6

Squaring both sides (and here's the mistake!!) you'd have

x=36

which is not a solution for the equation, if we plug it in we have

\sqrt{x}+10=4 \implies \sqrt{36}+10=4 \implies 6+10=4

Which is clearly false

7 0
3 years ago
Which number line represents the solution set for the inequality -4(x + 3) S-2 - 2x?
Basile [38]

Answer:

Which number line represents the solution set for the inequality -4(x + 3) S-2 - 2x?

-7 -6 -5 -4 -3 -2 -1 0

1

2

3

4

5

6

7

+ + +

-7 -6 -5 -4 -3 -2 -1 0

+

1

+

2

+

3

0 1 2

Step-by-step explanation:

5 0
3 years ago
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