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4 years ago

1) What is 30% of 60?

Mathematics

2 answers:

e-lub [12.9K]4 years ago

7 0

Answer:

30% of 60 is 18.

Hope this helps!

kolbaska11 [484]4 years ago

7 0

Answer: 18

Step-by-step explanation:

60 times 0.3= 18

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Kirk's average driving speed is 7 kilometers per hour faster than Thor's. In the same length of time it takes Kirk to drive 450

alexandr402 [8]

Answer:

x = 816 kilometers per hour.

Step-by-step explanation:

Given the following data;

Distance traveled by Kirk = 450km

Distance traveled by Thor = 408 km

Let the average driving speed of Thor be x.

Translating the word problem into an algebraic equation;

k = x + 6

We know that the time taken to cover a distance by an object with speed is given by the formula;

Time = distance/speed

Substituting into the equation, we have;

408/x = 405/x + 6

Cross-multiplying, we have;

408*(x + 6) = 405*x

408x + 2448 = 405x

408x - 405x = 2448

3x = 2448

x = 2448/3

x = 816 kilometers per hour.

3 0

3 years ago

Given x(y + 2) = 3x + y, express y in terms of x.

vodka [1.7K]

Answer:

y = $\frac{x}{x-1}$

Step-by-step explanation:

Given

x(y + 2) = 3x + y ← distribute parenthesis on left side

xy + 2x = 3x + y ( subtract 2x from both sides )

xy = x + y ( subtract y from both sides )

xy - y = x ← factor out y from each term on the left side )

y(x - 1) = x ← divide both sides by (x - 1)

y = $\frac{x}{x-1}$

6 0

3 years ago

Write a relationship for a function whose k(x) values are 5 more than four times the principal square root of x .

bearhunter [10]

Answer:

$k(x)=5+4\sqrt{x}$

Step-by-step explanation:

Write a function whose k(x) values are 5 more than four times the principal square root of x.

So,

the principal square root of x $=\sqrt{x};$

four times the principal square root of x $=4\sqrt{x};$

5 more than four times the principal square root of x $=5+4\sqrt{x};$

Thus,

$k(x)=5+4\sqrt{x}$

4 0

3 years ago

Given the points A(-1,-3) and B(5,2). A. Write the equation of the straight line AB. Another line MN is parallel to AB and passe

Alexus [3.1K]

Find slope of AB where A = (-1,-3) and B = (5,2):

$\text {Slope = } \dfrac{Y_2-Y_1}{X_2-X_1}$

$\text {Slope = } \dfrac{2+3}{5+1} = \dfrac{5}{6}$

Write equation with the slope found:

$y = mx + b$

$y = \dfrac{5}{6} x + b$

Find y-intercept:

$y = \dfrac{5}{6} x + b$

$2 = \dfrac{5}{6} (5) + b$

$2 = \dfrac{25}{6} + b$

$b = 2 - \dfrac{25}{6}$

$b = -\dfrac{13}{6}$

Form the equation:

$y = \dfrac{5}{6} x - \dfrac{13}{6}$

$\boxed {\boxed {\bf \text {Answer: Line AB : }y = \dfrac{5}{6} x - \dfrac{13}{6}}}$


Find Slope of Line MN where MN is parallel to AB:

$\text {Slope of MN = Slope of AB = } \dfrac{5}{6}$

Write equation with the slope found:

$y = mx + b$

$y = \dfrac{5}{6} x + b$

Find y-intercept given that the line passed through (6, -2):

$y = \dfrac{5}{6} x + b$

$-2 = \dfrac{5}{6} (6) + b$

$-2 =5 + b$

$b = -2 - 5$

$b = -7$

$
\boxed {\boxed {\bf \text {Answer: Line MN } : y = \dfrac{5}{6} x -7 }}$

8 0

4 years ago

Hi there can someone tell me how do i solve 2x>7

madam [21]

X equals 4 and any number bigger then 4

8 0

3 years ago

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1) What is 30% of 60?​

1) What is 30% of 60?