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2 years ago

4% of what number is 5

Mathematics

2 answers:

salantis [7]2 years ago

6 0

4% of 125 is 5. Multiply both sides of 0.04x=5 by 25.

Papessa [141]2 years ago

5 0

4%n = 5

Simplify the equation

1/25n = 5

Multiply by 25

25 (1/25n) = (25) (5)

n = 125.

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Whats -0.07776 as a fraction?

julia-pushkina [17]

The answer is 7/90 good luck

8 0

2 years ago

\frac { 6 ^ { n + 2 } - 6 ^ { n } } { 6 ^ { n + 1 } + 6 ^ { n } }

Sindrei [870]

Answer:

Step-by-step explanation:

Given expression:

$\dfrac{6^{n+2}-6^n}{6^{n+1}+6^n}$

$\textsf{Apply exponent rule} \quad a^{b+c}=a^b \cdot a^c$

$\implies \dfrac{6^n6^2-6^n}{6^n6^1+6^n}$

Factor:

$\implies \dfrac{6^n(6^2-1)}{6^n(6^1+1)}$

Cancel $6^n$ :

$\implies \dfrac{(6^2-1)}{(6^1+1)}$

Simplify:

$\implies \dfrac{36-1}{6+1}$

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4 0

2 years ago

Ashley sold small cups of lemonade for $1.25 and large cups for $2.50. If Ashley sold a total of 155 cups of lemonade for $265,

Mandarinka [93]

Answer:

Number of small cups of lemonade that was sold by Ashley = 98

Number of large cups of lemonade that was sold by Ashley = 57

Step-by-step explanation:

Let x = number of small cups of lemonade that was sold by Ashley.

Let y = number of large cups of lemonade that was sold by Ashley.

x small cups of lemonade was sold for $1.25 and y large cups of lemonade was sold for $2.50. The total cost was $265. This means

1.25x + 2.5y = 265 - - - - - - -1

Ashley sold a total of 155 small and large cups of lemonade. This means

x + y = 155 - - - - - -2

Substituting x = 155-y into equation 1,

It becomes

1.25(155-y) + 2.5y = 265

-1.25y + 2.5y = 265

- 1.25y + 2.5y = 265 -193.75

1.25y = 71.25

y = 71.25/1.25

y = 57

x = 155-y = 155-57

x = 98

6 0

2 years ago

Five-eighths of the votes were blue, 5/9 of the remaining were for green, and the remaining 48 were for red. How many votes were

KiRa [710]

Considering n the total of votes:
n = 5/8 * n + 5/9 * (1 - 5/8) * n + 48
Then
n (1 - 5/8 - 5/9*3/8) = 48
n (1/6) = 48
n = 288

=> blue votes = 5/8 * 288 = 180

4 0

2 years ago

What is the volume of this cylinder? 6m, 7m

FrozenT [24]

Answer:

$198\:\mathrm{m^3}$

Step-by-step explanation:

The volume of a cylinder is given by $V=r^2\pi\cdot h$ , where $r$ is the radius of the cylinder and $h$ is the height.

What we're given:

$r$ of 3
$h$ of 7

Substituting given values, we get:

$V=3^2\pi\cdot 7,\\V=9\cdot 3.14\cdot 7,\\V\approx 197.82\:\mathrm{m^3}=\boxed{198\:\mathrm{m^3}}$ , rounded the nearest cubic meter as requested in question.

6 0

2 years ago

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