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2 years ago

If 35% of a number is 21 and 90% of the same number is 54, find 55% of that number.

Mathematics

1 answer:

inn [45]2 years ago

4 0

Answer:

Step-by-step explanation:

The number is 60:

Divide the amount and decimal of the percentage to be extracted

Case 1

$\frac{21}{0.35} =60$

Case 2

$\frac{54}{0.9} =60$

Now the 55% of this number is:

$60(0.55)=33$

Hope this helps

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Shkiper50 [21]

Answer: 5) r = 5, 8th term = -78,125

6) r = 5, 8th term = -312,500

7) r = 5, {1, 5, 25, 125, 625}

8) r = 5, {-4, -20, -100, -500, -2500}

<u>Step-by-step explanation:</u>

The explicit formula of a geometric sequence is: $a_n=a_1\cdot r^{n-1}$ , where;

n is the number of the term
a₁ is the first term
r is the common ratio

$5)\ a_n=-5^{n-1}\\.\qquad =-1\cdot 5^{n-1}\quad \rightarrow \quad a_1=-1\ and\ r=5\\\\a_8=-5^{8-1}\\.\quad =-5^7\\.\quad =-78,125\\\\\\6)\ a_n=-4\cdot 5^{n-1}\quad \rightarrow \quad a_1=-4\ and\ r=5\\\\a_8=-4\cdot 5^{8-1}\\.\quad =-4\cdot 78,125\\.\quad =-312,500$

$7)\ a_1=1\ and\ r=5\\.\quad a_2=1\cdot 5=\boxed{5}\\.\quad a_3=5\cdot 5=\boxed{25}\\.\quad a_4=25\cdot 5=\boxed{125}\\.\quad a_5=125\cdot 5=\boxed{625}\\\\\\\\8)\ a_1=-4\ and\ r=5\\.\quad a_2=-4\cdot 5=\boxed{-20}\\.\quad a_3=-20\cdot 5=\boxed{-100}\\.\quad a_4=-100\cdot 5=\boxed{-500}\\.\quad a_5=-500\cdot 5=\boxed{-2500}\\\\\\$

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3 years ago

on a recent scuba diving trip, kate and kara reached a depth of 130 feet. six and a half minutes later, after ascending at a con

vitfil [10]

Let x be the time and y is the depth

At x = 0 y = -130

At x= 6.5 y = 0

So the slope = (0- (-130) / ( 6.5 – 0) = 20

Y intercept b

0 = 20(6.5) + b

B= -130

The equation

Y = 20x -130

The domain all real numbers from 0 to 6.5

Range is all realnumber from -130 to 0

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3 years ago

A city grid of Anytown, USA is shown on the grid below. The fire department is represented by quadrilateral RSTU. Another fire d

Pavlova-9 [17]

Since the starting and original place is a 4 x 3 rectangle, and the new position already has a side length of 3. We are now going to look for the two points that make a second side of 4. So, the points C(1, -5) and D(4, -5) satisfy the requirements.

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3 years ago

Read 2 more answers

Nadia spent 1/4 of her money on a shirt and 2/5 of her money on new shoes. What fraction of Nadias money was spent?

Ulleksa [173]

Answer:

13/20 of her money was spent.

Step-by-step explanation:

To find the answer you have to add these two fractions together, and to do that you must find a common denominator.

For this problem I chose to use 20 for the denominator since it is the smallest number that both 4 and 5 have in common.

Keep in mind that, whatever you do to the denominator, you must also do to the numerator, so if you multiply 5 by 4, you must also multiply 2 by 4.

5/20 + 8/20 = 13/20