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2 years ago

A bus can travel 186 miles in 5 hours. How many miles can the bus travel in 1 hour?

Mathematics

1 answer:

Dovator [93]2 years ago

7 0

Answer:

36.12 miles per hour

Step-by-step explanation:

if 186 miles =5hrs

so 1 hr = X

cross multiply

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What is 7y divided by 12 minus 84

Westkost [7]

Answer:

1/y -84

Step-by-step explanation:

7y/12-84

simplify= 1/y-84

8 0

3 years ago

You are given a line that has a slope of 4 and passed through the point (3/8, 1/2). Which statements about the question of the l

alexgriva [62]

Answer:

Statement 1, 2 and 4 are true where as statement 3 is not true.

Step-by-step explanation:

Statement 1: The y-intercept is -1

Point (3/8, 1/2)

Slope = m = 4

y = mx + c

1/2 = 4(3/8) + c

1/2 = 3/2 + c

1/2 = 3/2 + 2c/2

-2 = 2c

c = -1

This statement is true as the y-intercept is -1.

Statement 2: The slope intercept equation is y= 4x - 1

slope = m = 4

y-intercept = c = -1

y = mx + c

y = 4x - 1

This statement is true as the slope intercept equation is y= 4x -1

Statement 3: The point slope equation is y - 3/8 = 4 (x - 1/2)

Point slope equation: y - y1 = m (x - x1)

Points: (x, y) (3/8, 1/2)

y1 = 1/2

x1 = 3/8

Slope = m = 4

y - 1/2 = 4 (x - 3/8)

This statement is not true as the slope intercept equation is y - 1/2 = 4 (x - 3/8) instead of y - 3/8 = 4 (x - 1/2).

Statement 4: The point (3/8, 1/2) corresponds to (x1, y1) in the point slope form of the equation

This statement is true as shown in statement 3's explanation where x1 = 3/8 and y1 = 1/2

6 0

3 years ago

Predict if the product will be greater than, less than or equal to the second factor 4/5 x 1 2/5 = y

Radda [10]

Answer:

The product will be less than the second factor.

Step-by-step explanation:

Given the expression

$\frac{4}{5}\:\times \:1\frac{2}{5}\:=y$

solving to determine the product value

$y=\:\frac{4}{5}\times \:\:1\frac{2}{5}$

$=\frac{4}{5}\times \frac{7}{5}$

$\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{b}\times \frac{c}{d}=\frac{a\:\times \:c}{b\:\times \:d}$

$=\frac{4\times \:7}{5\times \:5}$

$=\frac{28}{5\times \:5}$

$=\frac{28}{25}$

As the value of the second factor is:

$1\frac{2}{5}=\frac{7}{5}=1.4$

And the product value is:

$y=\frac{28}{25}=1.12$

It is clear that the product value 'y = 1.12' is lesser than the second factor value '1.4'.

i.e. 1.12 < 1.4

Thus, the product will be less than the second factor.

4 0

3 years ago

<img src="https://tex.z-dn.net/?f=%5Cfrac%7Ba%5E%7B2%7D-1%7D%7B2-5a%7D%20times%20%5Cfrac%7B15a-6%7D%7Ba%5E%7B2%7D%2B5a-6%7D" id=

stepan [7]

$\bf \cfrac{a^2-1}{2-5a}\times \cfrac{15-6}{a^2+5a-6}\\\\
-----------------------------\\\\
recall\quad \textit{difference of squares}
\\ \quad \\
(a-b)(a+b) = a^2-b^2\qquad \qquad 
a^2-b^2 = (a-b)(a+b)\\\\
thus\quad a^2-1\iff a^2-1^2\implies (a-1)(a+1)
\\\\\\
now\quad a^2+5a-6\implies (a+6)(a-1)\\\\
-----------------------------\\\\
thus
\\\\\\
\cfrac{a^2-1}{2-5a}\times \cfrac{15-6}{a^2+5a-6}\implies \cfrac{(a-1)(a+1)}{2-5a}\times \cfrac{3(5a-2)}{(a+6)(a-1)}\\\\
-----------------------------\\\\
$

$\bf now\quad 3(5a-2) \iff -3(2-5a)\\\\
-----------------------------\\\\
thus
\\\\\\
\cfrac{\underline{(a-1)}(a+1)}{\underline{2-5a}}\times \cfrac{-3\underline{(2-5a)}}{(a+6)\underline{(a-1)}}\implies \cfrac{-3(a+1)}{a+6}$

6 0

3 years ago

Consider the figure below. Angle b and angle f are corresponding angles.

Anni [7]

Answer: Angles a and e

Step-by-step explanation:

Angle a and angle e are also corresponding angles! They both have distinct vertex points and lie on the same side of the transversal.

7 0

2 years ago