All categories

2 years ago

If 30% of x is 90, then x = ? F. 27 G. 30 H. 270 J. 300 K. 3,000

Mathematics

1 answer:

lys-0071 [83]2 years ago

6 0

Answer:

x = 300

Step-by-step explanation:

$x*\frac{30}{100} = 90$

$x=\frac{100}{30} * 90\\x = 300$

You might be interested in

Andrei wants to fill a glass tank with marbles, and then fill the remaining space with water. WWW represents the volume of water

andre [41]

Answer:

32 Liters

Step-by-step explanation:

In the glass tank:

W = represents the volume of water Andrei uses (in liters)

n =Number of marbles

Given that: $W=32-0.05n$

The volume of the glass tank is the volume of the water in the tank plus the total volume of n marbles added.

Therefore:

$W+0.05n=32$

Volume of the tank =32 Liters

6 0

2 years ago

Read 2 more answers

In expanded notation, the hexadecimal 74AF16 is (7*4096) + (4*256) + (A*16) + (F*1). When converting from hexadecimal to decimal

Feliz [49]

Answer:

F is assigned the value of 15

$74AF_{16} = 29871_{10}$

Step-by-step explanation:

Hexadecimal number system is base 16 and it contain the following numbers:

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, F

A has a value of 10

B has a value of 11

C has a value of 12

D has a value of 13

E has a value of 14

F has a value of 15

By completing the expanded notation:

$(7*4096) + (4*256) + (A * 16) + (F *1)\\= (7*4096) + (4*256) + (10 * 16) + (15 *1)\\= 28672 + 1024 + 160 + 15\\= 29871$

6 0

2 years ago

A, B, and C are polynomials, where A = n, B = 2n + 6, and C = n2 – 1. What is AB – C in simplest form? A=–n2 + 3n + 5 B=n2 + 6n

slava [35]

Answer: B: n^2+6n+1

Step-by-step explanation:

A=n

B=2n+6

C=n^2-1

AB-C

n(2n+6)-n^2-1

2n^2+6n-n^2+1

n^2+6n+1

4 0

2 years ago

Read 2 more answers

Write (3p^3)^2 without exponents

rodikova [14]

Answer:

3p*3p*3p*3p*3p*3p

Step-by-step explanation:

Multiply exponents

3p^6

expand

3p*3p*3p*3p*3p*3p = 3p^6

4 0

2 years ago

How many solutions are there to the system of equations?

hichkok12 [17]

Answer: The system of equations has NO SOLUTION.

Step-by-step explanation:

The equation of the line in Slope-Intercept form is:

$y=mx+b$

Where "m" is the slope and "b" is the y-intercept.

Given the following system of equations:

$\left \{ {{4x-5y=5} \atop {-0.08x+0.10y=0.10}} \right.$

Write the first equation and solve for "y" in order to express it in Slope-Intercept form:

$4x-5y=5\\\\-5y=-4x+5\\\\y=\frac{-4x}{-5}+\frac{5}{-5}\\\\y=0.8x-1$

You can identify that:

$m=0.8\\b=-1$

Apply the same procedure with the second equation. Then:

$-0.08x+0.10y=0.10\\\\0.10y=0.08x+0.10\\\\y=\frac{0.08x}{0.10} +\frac{0.10}{0.10}\\\\y=0.8x+1$

You can identify that:

$m=0.8\\b=1$

The slopes of both lines are equal, therefore the lines are parallel and the system has NO SOLUTION.

7 0

2 years ago

Read 2 more answers