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3 years ago

Convert 4.2% to an equivalent decimal.

Mathematics

1 answer:

hjlf3 years ago

5 0

Answer:

4.2% = 0.042

Step-by-step explanation:

You need to divide the percentage by 100 to get its equivalent decimal:

100% = 1 because

100 ÷ 100 = 1

Therefore,

4.2% = 0.042 because

4.2 ÷ 100 = 0.042

Hope this helped :)

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Please help me solve this I need some help

Agata [3.3K]

Answer:

f = 8

Step-by-step explanation:

Apply the distributed property, so it now looks like this: 2f - 10 = 6
Add 10 to each side, so it now looks like this: 2f = 16
Divide each side by 2 to cancel out the 2 next to f. It should now look like this: f = 8

I hope this helps!

7 0

3 years ago

Read 2 more answers

Solve 3-(2x-5)<-4(x+2)

azamat

Answer:

Step-by-step explanation:

3-(2x-5)=-4(x+2)

We simplify the equation to the form, which is simple to understand

3-(2x-5)=-4(x+2)

Remove unnecessary parentheses

3-2x+5=-4*(x+2)

Reorder the terms in parentheses

3-2x+5=+(-4x-8)

Remove unnecessary parentheses

+3-2x+5=-4x-8

We move all terms containing x to the left and all other terms to the right.

-2x+4x=-8-3-5

We simplify left and right side of the equation.

+2x=-16

We divide both sides of the equation by 2 to get x.

x=-8

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3 years ago

Read 2 more answers

PLEASE HELLP ASAP!!! Will Mark Braniliest!!!

Tasya [4]

Answer:

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3 years ago

Consider the following functions.G(x) = 4x2; f(x) = 8x(a)

noname [10]

Answer:

(a) B. G(x) is an antiderivative of f(x) because G'(x) = f(x) for all x.

(b) Every function of the form $4x^2+C$ is an antiderivative of 8x

Step-by-step explanation:

A function F is an antiderivative of the function f if

$F'(x)=f(x)$

for all x in the domain of f.

(a) If $f(x) = 8x$ , then $G(x)=4x^2$ is an antiderivative of f because

$G'(x)=8x=f(x)$

Therefore, G(x) is an antiderivative of f(x) because G'(x) = f(x) for all x.

Let F be an antiderivative of f. Then, for each constant C, the function F(x) + C is also an antiderivative of f.

(b) Because

$\frac{d}{dx}(4x^2)=8x$

then $G(x)=4x^2$ is an antiderivative of $f(x) = 8x$ . Therefore, every antiderivative of 8x is of the form $4x^2+C$ for some constant C, and every function of the form $4x^2+C$ is an antiderivative of 8x.

8 0

4 years ago

An estate of $613,000 is left to three siblings. The eldest receives 2 times as much as the youngest. The middle sibling receive

Assoli18 [71]

Answer:

Eldest: $298500

Middle: $165250

Youngest: $149250

Explanation:

We can show the siblings like this:

e=2y (eldest)

m=16000+y (middle)

To find the value of y, or the youngest sibling, we use an equation.

2y+16000+y+y=613000

Simplify:

4y+16000=613000

Subtract 16000 on both sides:

4y=597000

Divide both sides by 4:

y=149250

The youngest received $149250.

Knowing this, we can plug in the numbers into the original formulas:

e=2(149250)=298500 ...or $298500

m=16000+149250=165250 ...or $165250

y=149250 ...or $149250

Add all those numbers up, and you reach $613000.

7 0

3 years ago