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4 years ago

Paul bought a student discount card for the bus. The card allows him to buy daily bus passes for $1.50.

Mathematics

1 answer:

Marta_Voda [28]4 years ago

7 0

Answer:

Step-by-step explanation:

If you do 13x1.50= 19.5

28.50 - 19.5 = 9

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Using the order of precedence for arithmetic operators, these two formulas will calculate the same result: =22/2*5 =22/(2*5).

sattari [20]

It is false. These two formula will not give the same result.
22/2 x 5 = 11 x 5 = 55
22/(2 x 5) = 22 / 10 = 2.2
So, you see both have different answers.

7 0

3 years ago

The point (5,-6) lies on a circle and the center of the circle is at the point (5,-8).

mario62 [17]

Answer:

(x - 5)^2 + (y + 8)^2 = 4

Step-by-step explanation:

The equation for a circle in center radius form is

(x-h)^2 + (y-k)^2 = r^2 where (h,k) is the center and r is the radius

We need to determine the radius, from the two points which is the distance

d = sqrt( (x2-x1)^2 + (y2-y1)^2)

= sqrt( (5-5)^2+( -8--6)^2)

= sqrt(0+ (-8+6)^2)

= sqrt( 0+(-2)^2)

= sqrt(4)

= 2

The radius is 2 and the center is (5,-8)

(x-5)^2 + (y--8)^2 = 2^2

(x-5)^2 + (y+8)^2 = 4

3 0

3 years ago

Line g passes through points (1, 1) and (10, 9). Line h is perpendicular to g. What is the

Sauron [17]

Answer:

$\bold{The~slope~of~line~h~is~-\frac{9}{8}. }$

Step-by-step explanation:

Hi there!

First, let's calculate the slope of line g.

$\displaystyle\frac{y2-y1}{x2-x1}$

$\displaystyle\frac{9-1}{10-1} \\
\displaystyle\frac{8}{9}$

So, the slope of line g is $\displaystyle\frac{8}{9}$

Now let's identify the slope of line h.

We are given that line h is perpendicular to line g.

Now, perpendicular lines have slopes that are opposite reciprocals.

This means we take a number, flop it over, and change its sign.

The slope of line g is

$\displaystyle\frac{8}{9}$

Now, we flop it over:

$\displaystyle\frac{9}{8}$

Then, we change its sign:

$\displaystyle-\frac{9}{8}$

Thus, $\displaystyle-\frac{9}{8}$ is our final answer.

Hope it helps! Enjoy your day! (:

$\bold{GazingAtTheStars}$

8 0

3 years ago

What is the slope of P=(4.5,-1) Q=(5.3,2).

Ulleksa [173]

$\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
P&({{ 4.5}}\quad ,&{{ -1}})\quad 
% (c,d)
Q&({{ 5.3}}\quad ,&{{ 2}})
\end{array}
\\\\\\
% slope = m
slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{2-(-1)}{5.3-4.5}\implies \cfrac{2+1}{5.3-4.5}
\\\\\\
\cfrac{3}{0.8}\implies \cfrac{\frac{3}{1}}{\frac{08}{10}}\implies \cfrac{\frac{3}{1}}{\frac{4}{5}}\implies \cfrac{3}{1}\cdot \cfrac{5}{4}\implies \cfrac{15}{4}\implies 3\frac{3}{4}$

6 0

3 years ago

Read 2 more answers

Sum of three Consecutive integers of 384

Burka [1]

The three consecutive integers are 127, 128, 129

8 0

3 years ago