All categories

3 years ago

A Car Travels m miles in t hours express its average speed algebraically

Mathematics

1 answer:

alexandr402 [8]3 years ago

7 0

Answer:

speed = $\frac{m}{t}$

Step-by-step explanation:

using the formula that relates distance/ speed/ time

distance = speed × time

hence speed = $\frac{distance}{time}$ = $\frac{m}{t}$

You might be interested in

Paul has an eight-year loan with a principal of $26,900. The loan has an interest rate of 8.18%, compounded quarterly. If Paul p

babymother [125]

Answer:

The answer is "option b"

Step-by-step explanation:

Amount = $26,900

r= 0.0818 %

$i=\frac{r}{4}\\\\$

$=\frac{0.0818}{4}\\\\=0.02045$

t= 8 years

$n= 8 \times 4$

$=32$

$D=\frac{1-(1+i)^{-n}}{i}\\$

$=\frac{1-(1+0.02045)^{-32}}{0.02045}\\\\=\frac{1-(1.02045)^{-32}}{0.02045}\\\\=\frac{1-0.52319627}{0.02045}\\\\=\frac{0.47680373}{0.02045}\\\\=23.3155858$

$Q= \frac{Amount}{Discount \ factor }\\$

$=\frac{26900}{23.3155858} \\\\=1153.73468$

Payment $=1153.73468 \times 32\\\\$

$= \$ 36919.5098\\$

$\text{Total interest = Payment - amount}$

$= \$ 36919.5098 - \$ 26900 \\\\ = \$ 10019.5098$

$\text{Finance charge = Total interest + service charge}$

$= \$ 10019.5098 + \$ 1527\\\\ = \$ 11546.5098$

3 0

3 years ago

Describe the transformations for the given expressions

Vlad1618 [11]

Answer:

wow thats a lot let me write this down

7 0

2 years ago

A school has 63% percent girls and 37%, percent boys. If 23%, percent of the girls wears contacts and 42%, percent of the boys w

Degger [83]

Answer:

30% students

Step-by-step explanation:

Let x be the number of total students of a school.

63% are girls then total number of girls = (0.63)x

37% are boys then total number of boys = ( 0.37)x

Now 23% of girls wear contacts then total number of girls

= (0.63x) × 0.23

= (0.1449x)

And 42% of boys wear contacts then total number of boys wearing contacts

= (0.37x) ( 0.42)

= (0.1554)x

Total students wears contacts = ( 0.1449x) + (0.1554x)

= (0.3003x)

Percentage of students wear contacts = $\frac{\text{total students wear contacts}}{\text{total students in school}}$ × 100

= $\frac{0.03003x}{x}$ × 100

= 30%

All 30% students wear contacts.

4 0

2 years ago

If y varies directly as the square root of x and y = 8 when x = 36, find the value of y when x = 144. y =

Wittaler [7]

Answer:

y=32

Step-by-step explanation:

cross multiply

36/4 *144/y

144*8/36

=1152/36

y=32

8 0

2 years ago

a quadrilateral has 2 right angles. the measure of the third angle is 73, what is the measure of the forth angle?

hoa [83]

Answer: 107 degrees.

Step-by-step explanation:

A quadrilateral is defined as a 2-dimensional closed shape which has four sides and four vertices.

By definition the interior angles of a quadrilateral add up 360 degrees.

We know that this quadrilateral has 2 right angles (which are angles that measure 90 degrees) and we know that the measure of the third angle is 73 degrees.

Let be "x" the measure of the fourth angle.

Then you can write this expression:

$360\°=90\°+90\°+73\°+x$

And finally solve for "x":

$360\°=253\°+x$

$360\°-253\°=x$

$x=107\°$

5 0

2 years ago