All categories

3 years ago

Rewrite the equation below so that it does not have fractions.

Mathematics

2 answers:

Eddi Din [679]3 years ago

6 0

15x = 48

Step-by-step explanation:

$\begin{aligned}\rm\frac{3}{4}x-2&=\rm \frac{2}{5}\to(multiplied~by~20)\\\rm(20)\frac{3}{4}x-(20)2&=(20)\frac{2}{5}\\\rm 15x-40&=8\\\rm 15x&=8+40\\\rm 15x&=48\end{aligned}$

lidiya [134]3 years ago

4 0

Answer:

$\frac{15}{20} x-2=\frac{8}{20}$

Step-by-step explanation:

$\frac{3}{4} x-2=\frac{2}{5}$

3/4 and 2/5 have a common denominator which is twenty so you can rewrite the equation with just knowing that

$\frac{3}{4} =\frac{15}{20}$

$\frac{2}{5} =\frac{8}{20}$

$\frac{15}{20} x-2=\frac{8}{20}$

You can then multiply both sides by twenty to solve this equation.

Hope this helps.

You might be interested in

WILL MARK BRAINLIEST! WILL GIVE 57 POINTSSSS! NO FUNNY ANSWERS I WILL REPORT YOU UNTIL YOU GET BANNED.

Step2247 [10]

Answer:

-5

-3

-2

Rule: Subtract 2 from the input value

Step-by-step explanation:

Examine the pattern of the input and the corresponding output for the two given ordered pairs:

Input -2 → Output -4

Output - Input = -4 - (-2) = -2

Input 1 → Output -1

Output - Input = -1 - 1 = -2

Therefore to get the output value (y-value), we subtract 2 from the input value (x-value).

$\begin{array}{| c | c |}\cline{1-2} x & y \\\cline{1-2} -3 & -5 \\\cline{1-2} -2 & -4 \\\cline{1-2} -1 & -3 \\\cline{1-2} 0 & -2\\\cline{1-2} 1 & -1 \\\cline{1-2}\end{array}$

As the rule for the function is the subtract 2 from the input value to get the output value, we can write this as:

Output = Input - 2

or as an equation: $y=x-2$

3 0

2 years ago

Eight parentheses x plus two parentheses

jarptica [38.1K]

Answer:

Step-by-step explanation:

8+2=10

3 0

3 years ago

An electrical heating element produces heat depending on the resistance of the element and the current passed through it. The he

vredina [299]

The heat produced by current I is
H = I²R
where
R = resistance.
According to the formula, heat produced is proportional to the square of the current.

When a current of I = 2 amps is applied, the heat produced is
H = 10x³ + 80.
This heat includes heat due to a fixed current of 2 amps, and heat due to a variable current of x amps.

Because the heat produced is proportional to the square of the current, write the expressions as
H = (10x)*(x²) + 20*(2²)

The second term on the right is heat due to the fixed current of 2 amps, written as
20*(2²).
Therefore the fixed resistance is R = 20 ohms, and the square of the fixed current is 2².

The first term represents heat due to variable resistance, written as
(10x)*(x²).
Therefore the variable resistance is 10x, and the square of the variable current is x².

Answer:
The variable current is 10x.

6 0

4 years ago

Determine the center and radius of the following circle equation:<br> x2 + y2 – 10x + 8y + 40 = 0

antiseptic1488 [7]

Answer:

The center of this circle is (5, -4) and the radius is 1.

Step-by-step explanation:

First regroup these terms according to x and y :

x^2 - 10x + y^2 + 8y = -40

Next, complete the square for x^2 - 10x: x^2 - 10x + 5^2 - 5^2.

and the same for y^2 + 8y: y^2 + 8y + 16 - 16

Substituting these results into x^2 - 10x + y^2 + 8y = -40, we get:

x^2 - 10x + 5^2 - 5^2 y^2 + 8y + 16 - 16 = -40.

Next, rewrite x^2 - 10x + 25 and y^2 + 8y + 16 as squares of binomials:

Then x^2 - 10x + 5^2 - 5^2 y^2 + 8y + 16 - 16 = -40 becomes:

(x - 5)^2 + (y + 4)^2 - 25 - 16 = -40, or:

(x - 5)^2 + (y + 4)^2 = 1

This equation has the form (x - h)^2 + (y - k)^2 = r^2, where (h, k) is the center and r is the radius. Matching like terms, we get h = 5, k = -4 and r = 1.

The center of this circle is (5, -4) and the radius is 1.

6 0

3 years ago

Read 2 more answers

Y = 5x – 6<br> Identify the slope of the<br> following equation.

shtirl [24]

Answer:

Slope = 5

Step-by-step explanation:

y = mx + b

m = slope

m = 5