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2 years ago

If 60% of a number is 90, what is 4/5 of the number?

Mathematics

1 answer:

sukhopar [10]2 years ago

7 0

Answer:

120

Step-by-step explanation:

Let the required number be x

So,

60% of x = 90

0.6x = 90

x = 90/0.6

x = 900/6

x = 150

$\frac{4}{5} x = \frac{4}{5} \times 150 = 4 \times 30 = 120 \\$

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Which relation is not a function?

kobusy [5.1K]

Answer:

Step-by-step explanation:

X cant be repeated twice or it will be a non function,

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3 years ago

Evaluate S5 for 300 + 150 + 75 + … and select the correct answer below. 18.75 93.75 581.25 145.3125

Savatey [412]

we have that

$300 + 150 + 75 +...$

Let

$a1=300\\ a2=150\\ a3=75$

we know that

$\frac{a2}{a1} =\frac{150}{300} \\\\ \frac{a2}{a1}=0.5 \\ \\ a2=a1*0.50$

$\frac{a3}{a2} =\frac{75}{150} \\\\ \frac{a3}{a2}=0.5 \\ \\ a3=a2*0.50$

$a(n+1)=an*0.50$

Is a geometric sequence

Find the value of $a4$

$a(4)=a3*0.50$

$a(4)=75*0.50$

$a(4)=37.5$

Find the value of $a5$

$a(5)=a4*0.50$

$a(5)=37.5*0.50$

$a(5)=18.75$

Find $S5$

$S5=a1+a2+a3+a4+a5\\ S5=300+150+75+37.5+18.75\\ S5=581.25$

therefore

the answer is

$581.25$

Alternative Method

Applying the formula

$S_n=\frac{a_1 (1-r^n)}{1-r} \\\\a_1=300 \\ r=\frac{1}{2}\\\\ S_5=\frac{300(1-(\frac{1}{2})^5)}{1-\frac{1}{2}}\\\\=\frac{300(1-\frac{1}{32})}{\frac{1}{2}}\\\\=\frac{300 \times \frac{31}{32}}{\frac{1}{2}}\\\\=\frac{75 \times \frac{31}{8}}{\frac{1}{2}}\\\\=\frac{\frac{2325}{8}}{\frac{1}{2}}\\\\=\frac{2325}{8} \times 2\\\\=\frac{2325}{4}\\\\=581 \frac{1}{4}\\\\=581.25$

therefore

the answer is

$581.25$

6 0

3 years ago

Read 2 more answers

14x+10y=72 14x+4y=96 Solve the following system of equations using any method

Anarel [89]

  14x + 10y = 72
  14x +   4y = 96
  6y = -24
6 6
  y = -4
  14x + 10y = 72
14x + 10(-4) = 72
14x - 40 = 72
+ 40 + 40
  14x = 112
14 14
x = 8
  (x, y) = (8, -4)

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3 years ago

Help ASAP!!!!! I need ittt

ivann1987 [24]

Answer:

I believe the answer ur looking for is 3 (D)

Step-by-step explanation:

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3 years ago

Which equation is equivalent to 2(3x-5)=5-2(1-x)

aniked [119]

Answer:

6(x-10)=5-2(1-x)

Step-by-step explanation:

I divided by 3 the parenthesis, and multiplied by 3 the first number, which makes an equivalent equation.

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3 years ago

If 60% of a number is 90, what is 4/5 of the number?​

If 60% of a number is 90, what is 4/5 of the number?