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2 years ago

Write two different expressions that represent the quantity x decreased by 30%.

Mathematics

1 answer:

s344n2d4d5 [400]2 years ago

4 0

Answer:

Step-by-step explanation:

x - 30 = 14 - 3x

4x = 44

x = 11

Let's call the unknown number x

Now let's decrease it by 30, that is x-30

Now let's write out "14 decreased by three times the number", that is 14 - 3x

The problem says these are the same, that is x - 30 = 14 - 3x

We now want to isolate, or solve for, x

Move the x to one side of the equation by adding 3x to both sides

3x + x -30 = 14 - 3x + 3x

4x -30 = 14

Now move the 30 to the right hand side by adding 30 to both sides

4x - 30 + 30 = 14 + 30

4x = 44

Now all we have to do to get x is divide both sides by 4

4x/4 = 44/4

x = 11

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Order the measurements from the least to the greatest. 2,720 mL , 24.91 L , 0.0268 kL

iren [92.7K]

2720ml=2.720L
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24.91l
Therefore
2720ml , 24.91L, 0.0268kl
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3 years ago

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Find the missing side lengths. Leave your answers as radicals in simplest form. Please help!! Due today

Nataly_w [17]

Answer:

$m = 10\sqrt 3$

$n = 10$

Step-by-step explanation:

Required

Find m and n

Considering the given angle, we have:

$\sin(60) = \frac{Opposite}{Hypotenuse}$

This gives:

$\sin(60) = \frac{m}{20}$

Make m ths subject

$m = 20 * \sin(60)$

$\sin(60) =\frac{\sqrt 3}{2}$

So, we have:

$m = 20 *\frac{\sqrt 3}{2}$

$m = 10\sqrt 3$

Considering the given angle again, we have:

$\cos(60) = \frac{Adjacent}{Hypotenuse}$

This gives:

$\cos(60) = \frac{n}{20}$

Make n the subject

$n = 20 * \cos(60)$

$\sin(60) =\frac{1}{2}$

So, we have:

$n = 20 *\frac{1}{2}$

$n = 10$

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2 years ago

Is f = 3 a solution to the inequality below?

Nataliya [291]

Answer: Yes

Step-by-step explanation:

f=3

11+3= 14

23 > 14

es correcto decir que 23 es mas grande que 11+f

3 0

3 years ago

Arithmetic of Functions problem.

lidiya [134]

Answer:

(f o g)(4) = 45

Step-by-step explanation:

f(x)=4x+1

g(x)=x²-5

(f o g)(4)=?

(f o g)(4) = f(g(4))

Calculating g(4):

x=4→g(4)=4²-5

g(4)=16-5

g(4)=11

Replacing g(4)=11

(f o g)(4) = f(g(4))

(f o g)(4) = f(11)

Calculating f(11)

x=11→f(11)=4(11)+1

f(11)=44+1

f(11)=45

Replacing f(11)=45:

(f o g)(4) = f(11)

(f o g)(4) = 45

4 0

3 years ago

Read 2 more answers

Tan 12 degrees = 10/x

Ilia_Sergeevich [38]

Solve like an equation,
You need x by itself.
Since x is on the denominator, multiply both sides by x to clear the fraction.
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x Tan12 = 10
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7 0

3 years ago