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2 years ago

5

Only 18 people are allowed on a ride at the same time. There are 157 people waiting in line. How many groups of riders will ther

e be?

1 answer:

IrinaK [193]2 years ago

7 0

Answer:

Step-by-step explanation:

Divide 157 by 8 to see how many groups there are.

157/18=8r13. So you can round up to 9 groups of riders as there is a max of 18 at a time.

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Arthur has decided to start saving for a new computer. His money is currently in a piggy bank at home, modeled by the function s

Leya [2.2K]

Two or more independent functions (say f(x) and g(x)) can be combined to generate a new function (say g(x)) using any of the following approach.

$h(x) = f(x) + g(x)$ $h(x) = f(x) - g(x)$

$h(x) = \frac{f(x)}{g(x)}$ $h(x) = f(g(x))$

And many more.

The approach or formula to use depends on the question.

In this case, the combined function is:

$f(x) = 75+ 10x$

The savings function is given as

$s(x) = 85$

The allowance function is given as:

$a(x) = 10(x - 1)$

The new function that combined his savings and his allowances is calculated as:

$f(x) = s(x) + a(x)$

Substitute values for s(x) and a(x)

$f(x) = 85 + 10(x - 1)$

Open bracket

$f(x) = 85 + 10x - 10$

Collect like terms

$f(x) = 85 - 10+ 10x$

$f(x) = 75+ 10x$

Read more about functions at:

brainly.com/question/15458447

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2 years ago

Read 2 more answers

0.44 × $26.13<br> plzzzzzzzz helpp

Jet001 [13]

Answer:

11.4972 USD

Step-by-step explanation:

Approx. 11.50

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3 years ago

Helpppppppppppppppp ill mark you brainlist write in y=mx+b form

Sholpan [36]

Answer:

The equation of the line in slope-intercept form is:

$y\:=\:\frac{-10}{7}x-\frac{45}{7}$

Step-by-step explanation:

Given the points

(-8, 5)

(-1, -5)

Finding the slope

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

$\left(x_1,\:y_1\right)=\left(-8,\:5\right),\:\left(x_2,\:y_2\right)=\left(-1,\:-5\right)$

$m=\frac{-5-5}{-1-\left(-8\right)}$

$m=-\frac{10}{7}$

We know the slope-intercept form of the line equation is

$y = mx+b$

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

substituting m = -10/7 and (-8, 5) in the slope-intercept form to determine the y-intercept

$5\:=\:\frac{-10}{7}\left(-8\right)+b$

$\frac{80}{7}+b=5$

$b=-\frac{45}{7}$

now substituting m = -10/7 and b = -45/7 in the slope-intercept form

$y = mx+b$

$y\:=\:\frac{-10}{7}x+\left(-\frac{45}{7}\right)$

$y\:=\:\frac{-10}{7}x-\frac{45}{7}$

Thus, the equation of the line in slope-intercept form is:

$y\:=\:\frac{-10}{7}x-\frac{45}{7}$

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2 years ago

What is the formula to find the SA of a pyramid

shusha [124]

Answer:

SA= 12pl+B

Step-by-step explanation:

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3 years ago

A parabola can be drawn given a focus of (6,-1) and a directrix of y = 9. What can be said about the parabola?

zavuch27 [327]

Answer:

Since the focus is at (-6,-11) and the directrix is at y=9:

The vertex is halfway between the focus and the directrix, so the vertex is at (-6,-1). (Draw this on graph paper if that doesn't make sense.)

The general form (conics form) of a parabola: 4p(y-k)=(x-h)^2 (vertex is (h,k) and "p" is the distance between the focus and vertex (or between vertex and directrix)).

(h,k) = (-6,-1)

p = 10 (distance between focus and vertex), so 4p = 40.

Therefore:

40(y+1)=(x+6)^2

Or if you need to rearrange to "vertex form": y=(1/40)(x+6)^2 - 1

Step-by-step explanation:

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2 years ago