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Studentka2010 [4]
3 years ago
12

Reina and Sam are multiplying (84)5 (73)9. Reina's Work Sam's Work (84)5 (73)9 = 84 + 573 + 9 = 89712 (84)5 (73)9 = 84⋅573⋅9 = 8

20727 Is either of them correct? Explain your reasoning.
Mathematics
1 answer:
Romashka-Z-Leto [24]3 years ago
4 0
This is a tricky question that Reina and Sam are multiplying (84)5 (73)9and their work are (84)5 (73)9 = 84 + 573 + 9 = 89712    Reina's(84)5 (73)9 = 84⋅573⋅9 = 820727 Sam'sActually they are doing or multiplying using exponents.
Reina’s work (8⁴)₅(7³)⁹=8⁴⁺⁵+ 7³⁺⁹= 8⁹ 7¹²This is incorrect  because she added exponents instead of multiplying exponents
Sams work (8⁴)⁵ (7³)⁹=8⁴ˣ⁵ 7³ˣ⁹= 8²⁰ 7²⁷This is correct  because Sam multiplied exponents correctly
Exponents are multiplied not added.

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A price decreased from 60$ to 45$ find the percent of decrease
BlackZzzverrR [31]
Percent change = [(45 - 60) / 60] x 100 = -25 % (decrease)
8 0
3 years ago
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The sum of twice a number n and 8 at most 25
mezya [45]

2n + 8 ≤ 25     |subtract 8 from both sides

2n ≤ 17     |divide both sides by 2

<u>n ≤ 8.5</u>

6 0
3 years ago
The cylinder and the sphere below have the same radius and the same volume. What is the height of the cylinder?
lyudmila [28]

Answer:

Height of cylinder (h) = (4/3)R

Step-by-step explanation:

Given:

Radius of cylinder (r1) = R

Height of cylinder (h) = H

Radius of sphere (r2) = R

Volume of cylinder = volume of sphere

Find:

Height of cylinder (h) = H = ?

Computation:

Volume\ of\ cylinder = volume\ of\ sphere\\\\ \pi (r1)^2h =\frac{4}{3} \pi (r2)^3\\\\\pi (R)^2h =\frac{4}{3} \pi (R)^3\\\\ h=\frac{4}{3}  (R)

Height of cylinder (h) = (4/3)R

4 0
3 years ago
Will someone please help me here
stealth61 [152]

You would use unit rate for this. If Austin makes $209 in 11 hours, then he makes 209/11 = 19 dollars in 1 hour.

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$19/1 hour = $152/ x hours

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x = 8 hours.

6 0
3 years ago
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Use the discriminant to describe the roots of each equation. Then select the best description. x2 - 5x + 7 = 0
miv72 [106K]
The general form of a quadratic (second degree) equation is 

a x^{2} +bx+c=0, where

D= b^{2}-4ac is called the Discriminant.


The Discriminant determines how many roots the equation will have as follows:

i)  if D>0, the equation has 2 roots.
ii) if D=0, the equation has 1 double root.
iii) if D<0, the equation has no roots.


In our equation, x^{2} -5x+7=0, a=1, b=-5, c=7

so the discriminant is D=(-5)^2-4*1*7=25-28<0


Thus the equation has no roots.


Remark: the equation has no roots in the Real numbers, but it has 2 roots in a larger set of numbers to be discussed in the future, the Complex numbers.
5 0
3 years ago
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