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geniusboy [140]
3 years ago
8

Hector is getting balloons for his grandfather's birthday party. He wants each balloon string to be 6 feet long. At the party st

ore, string is sold by the yard. If Hector wants to get 63 balloons, how many yards of string will he need?
Mathematics
2 answers:
gizmo_the_mogwai [7]3 years ago
5 0

Answer:

126 yards

Step-by-step explanation:

6×63 equals 378 there are 0. 333 yards in 1 feet so there is 126 yards in 378 feet

Hope this helps

ivanzaharov [21]3 years ago
4 0

Answer:

he will need 224 yards of string

Step-by-step explanation:

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Gemiola [76]

Yes. When solving a problem like this, multiply the base numbers normally, and add the exponents together.

If you need more help, comment below and I'd be happy to assist.

5 0
3 years ago
Simplify the expression. Write the answer using scientific notation.
bonufazy [111]

Answer:

  C.  2.5×10^-27

Step-by-step explanation:

(2×10^-13)^-2 = 2^-2 × 10^(13×(-2)) = 1/4 × 10^-26

= 0.25 × 10^-26 = 2.5 × 10^-27

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Your scientific or graphing calculator can compute and display this for you.

4 0
3 years ago
A corporate bond has a coupon rate of 5.5 percent, a $1,000 face value, and matures three years from today. The corporation is i
melomori [17]

Answer:

= \frac{\frac{75}{100}\times 1000 + \frac{25}{100} \times \frac{60}{100}\times 1000  }{(1+\frac{15}{100})^3 }

=\frac{0.75\times 1000 + 0.25\times 0.60 \times 1000}{(1+0.15)^3}

=\frac{750+0.25\times 0.60\times 1000}{1.15^3} \\\\=\frac{750+150}{1.520875} =\frac{900}{1.520875} \\\\=591.76

Step-by-step explanation:

= (probability of entire face value paid*face value+probability of entire face value not paid*percent of face value paid*face value)/(1+discount rate)^years to maturity

probability of entire face value paid = 75%

face value = 1000

probability of entire face value not paid = 25%

percent of face value paid= 60%

discount rate = 15%

years to maturity  = 3

= \frac{\frac{75}{100}\times 1000 + \frac{25}{100} \times \frac{60}{100}\times 1000  }{(1+\frac{15}{100})^3 }

=\frac{0.75\times 1000 + 0.25\times 0.60 \times 1000}{(1+0.15)^3}

=\frac{750+0.25\times 0.60\times 1000}{1.15^3} \\\\=\frac{750+150}{1.520875} =\frac{900}{1.520875} \\\\=591.76

6 0
2 years ago
A number consists of two digits whose sum is 12. If 16 is added to the number, then one of the digits is four times the value of
NeX [460]

Answer: The number is 12.

Step-by-step explanation:

Since we have given that

Sum of two digits = 12

Let the one's digit be 'x'

Let the ten's digit be '12-x'

So, Original number would be

x+10(12-x)\\\\=x+120-10x\\\\=-9x+120

If 16 is added to the number, then one of the digit is four times the value of the other.

According to question, we get that

-9x+120+16\\\\=-9x+136

so, the one's digit be 'x'.

Let the ten's digit be '4x'.

so, New number would be

10x+4x=14x

According to question, it becomes,

14x=-9x+136\\\\14x+9x=136\\\\23x=136\\\\x=\dfrac{136}{23}=12

So, the number would be

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Hence, the number is 12.

7 0
3 years ago
Rewrite the equation 2x+8y=16 in slope-intercept form
Shkiper50 [21]
The goal is to solve for y. Start by subtracting 2x from both sides. This gives you 8y=-2x+16. Now just divide both sides by 8, which gives you y=-2/8x+16/8. Finally, simplify this to y=-1/4x+2.
7 0
3 years ago
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