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Mathematics

1 answer:

dimulka [17.4K]3 years ago

4 0

Answer:no answer

Step-by-step explanation:

because everything times zero is zero

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Starting at home, Ishaan traveled uphill to the gift store for 18 minutes at just 10 mph. He then traveled back home along the s

kvv77 [185]

The formula to find speed:

$speed = distance \div time$

We first need to find the distance to gift store:
18/60 × 10
=3miles

We can then find the time he used down hill:
3÷30×60
=0.1×60
=6 minutes

In total he walked:
3x2
=6miles

We can then find his average speed by dividing the distance by total time used:
=6÷(6+18)/60
=6÷24/60
=15mph

The answer is 15mph.

Hope it helps!

6 0

3 years ago

Find the solution to the system of equations.

VARVARA [1.3K]

Answer:

(2,3)

Step-by-step explanation:

use the equal values method.

set y equal to itself.

y = -2x+7 but also 5x-7

-2x+7=5x-7 ............................. solve the equation

7x=14

x=2

Now substitute the x value into one of the equations given. for example i'll do -2x+7.

-2(2) +7 =y

-4+7=y

3=y

so thats your answer

x=2, y=3

(2,3)

6 0

4 years ago

Identify the values of m and b of the linear function y = mx + b, graphed below.

Varvara68 [4.7K]

<h2>Finding the slope and y-intercept of a line given the graph</h2><h3>Answer:</h3>

$b = 4$

$m = -\frac{1}{3}$

<h3>Step-by-step explanation:</h3>

An equation of a line written in its Slope-intercept Form, $y = mx +b$ , has $b$ as its $y$ -intercept and $m$ as its slope.

$b$ or the $y$ -intercept is the $y$ -coordinate when $x = 0$ . On the given line, we can see that when $x = 0$ , $y = 4$ . It's $y$ -intercept is the point $(0,4)$ so $b = 4$ .

The slope, $m$ , of the line can be calculated by $\frac{y_2 -y_1}{x_2 -x_1}\\$ where $x_n$ and $y_n$ is the $xy$ -coordinates of any point $n$ on the line. In the given line, we can see that $(5,3)$ is on the line so this can be point $1$ . $(0,4)$ is also on the line (yes, you can also use the $y$ -intercept in calculating the slope of the line) so this can be our point $2$ .