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3 years ago

Identify the percent, amount and base in this problem: 3% of what number is 45?

Mathematics

2 answers:

Tpy6a [65]3 years ago

5 0

Answer:

x = 1,500

Step-by-step explanation:

We are given that

3% ⋅ x = 45

or 3/100 ⋅ x = 45

Multiply both sides by 100 and divide both sides by 3

x = 45 ⋅ 100/3

So:

x = 1,500

I hope this helps!

(Btw, if you're using a calculator you can just inter 45 ⋅ 100 ÷ 3, and that will give you the answer.)

ryzh [129]3 years ago

5 0

Answer:

Step-by-step explanation:

3% of what number is 45......percent of base = amount

the percent is the number with the percent sign......so its 3%

the base is the number we are taking the percent of...so the base is unknown

the amount is the number that relates to the percent, it is a portion of the whole number...and it is 45

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Next number in sequence 3 -6 12 4 20 ?

Artyom0805 [142]

-6 - 3 = -9
12 - (-6) = 18
4 - 12 = -8
20 - 4 = 16
The first difference is -9. The third difference is -8.
Maybe the fifth difference is -7.
That makes the next term 13.

<span>3, -6, 12, 4, 20, 13</span>

8 0

3 years ago

Find the equation of the line that passes through the following points. Write the equation in slope-intercept form.

ra1l [238]

Answer:

The equation in the slope-intercept form will be:

y = 1/4x - 7

Step-by-step explanation:

Given the points

(-4.-8)

(-8, -9)

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(-4,\:-8\right),\:\left(x_2,\:y_2\right)=\left(-8,\:-9\right)$

$m=\frac{-9-\left(-8\right)}{-8-\left(-4\right)}$

$m=\frac{1}{4}$

We know that the slope-intercept of line equation is

$y=mx+b$

where m is the slope and b is the y-intercept

substituting m = 1/4 and the point (-4, -8) to find the y-intercept 'b'

y = mx+b

-8 = 1/4(-4)+b

-8 = -1 + b

b = -8+1

b = -7

so the y-intercept = b = -7

substituting m = 1/4 and b = -7 in the slope-intercept form of line equation

y = mx+b

y = 1/4x + (-7)

y = 1/4x - 7

Thus, the the equation in slope-intercept form will be:

y = 1/4x - 7

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3 years ago

The graph of the function showing the path of a soccer ball thrown by a goalie in a video game, f(x) = –0.05x2 + 2.5x + 5.2, is

Tju [1.3M]

Answer:

The correct option is 4.

Step-by-step explanation:

The given function is

$f(x)=-0.05x^2+2.5x+5.2$

Where f(x) is height of the ball and x is the distance.

It is a polynomial function with degree 2. All polynomial functions are defined for all real numbers, therefore the mathematical domain of the function is all real numbers.

$-\infty$

Factorize the given function.

$f(x)=-0.05(x^2-50x-104)$

$f(x)=-0.05(x^2-52x+2x-104)$

$f(x)=-0.05(x(x-52)+2(x-52))$

$f(x) = -0.05 (x - 52) (x + 2)$

Put f(x)=0 to find the x intercepts.

$0 = -0.05 (x - 52) (x + 2)$

Equate each factor equal to 0.

$x=52,-2$

Therefore at x=52 and -2, the graph of f(x) intersects x-axis. Before x=-2 and after x=52 the values of f(x) is negative. Height cannot be negative, therefore reasonable domain is lie between -2 to 52.

Distance cannot be negative, therefore the reasonable domain must be positive.

$0\leq x\leq 52$