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2 years ago

A car is traveling at a steady speed. It travels 1 3/4 miles in 2 1/3 minutes. How far will it travel in 47 minutes? In 1 hour?

Mathematics

1 answer:

aleksandrvk [35]2 years ago

7 0

Answer:

Distance in 47 minutes = 0.75 × 47 = 35.25 miles

Distance in 1 hour or (60 minutes) = 0.75 × 60 = 45 miles

Step-by-step explanation:

Given that the car is traveling at a steady speed.

Distance traveled in 2 1/3 or 7/3 or (2.33) minutes = 1 3/4 miles

= 7/4 or 1.75 miles

Thus,

distance in 1 minute: 1.75/2.33 = 0.75 miles per minute

Thus,

Distance in 47 minutes = 0.75 × 47 = 35.25 miles

Distance in 1 hour or (60 minutes) = 0.75 × 60 = 45 miles

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Please help!

crimeas [40]

Answer:

The zeros are:

$x =4, x=2, x = 5$

The function has three distinct real zeros.

Hence, option (B) is true.

Step-by-step explanation:

Given the expression

$h\left(x\right)=\left(x-4\right)^2\left(x^2-7x+\:10\right)$

Let us determine the zeros of the function by putting h(x) = 0 and solving the expression

$0=\left(x-4\right)^2\left(x^2-7x+10\right)$

switch sides

$\left(x-4\right)^2\left(x^2-7x+10\right)=0$

$x^2-7x+\:10=\left(x-2\right)\left(x-5\right)$

$\left(x-4\right)^2\left(x-2\right)\left(x-5\right)=0$

Using the zero factor principle

$\mathrm{If}\:ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0\:\left(\mathrm{or\:both}\:a=0\:\mathrm{and}\:b=0\right)$

$x-4=0\quad \mathrm{or}\quad \:x-2=0\quad \mathrm{or}\quad \:x-5=0$

$x =4, x=2, x = 5$

Thus, the zeros are:

$x =4, x=2, x = 5$

It is clear that there are three zeros and all the zeros are distinct real numbers.

Therefore,

The function has three distinct real zeros.

Hence, option (B) is true.

4 0

2 years ago

A 6 sided die was rolled 9 times. What is the mode of these rolls?

yuradex [85]

That 1,2,3,4,5,6 is one the die and it has a chance to at least get all the numbers at least once but u dont have enough data so i can help u more.

6 0

2 years ago

Write the equation of the line that is perpendicular to y=2x-7 and passes through the point (6, 5)

Pani-rosa [81]

Answer:

Step-by-step explanation:

we are given a equation of a line

we want to figure out the equation of the perpendicular line passes through the (6,5) points

in order to do so

recall that,

$\displaystyle m_{ \text{perpendicular}} = - \frac{1}{m}$

we got from our given equation that m=2

because equation of a line is y=mx+b

thus

$\displaystyle m_{ \text{perpendicular}} = - \frac{1}{2}$

remember that, when we want to figure out perpendicular line or parallel line we should the formula given by

$\displaystyle y - y_{1} = m(x - x_{1})$

since we got our perpendicular m is -½, $x_1=6$ and $y_1=5$ , substitute

$\displaystyle y - 5 = - \frac{1}{2} (x - 6)$

to get the perpendicular equation you should simplify the above equation to y=mx+b form

distribute -½:

$\displaystyle y - 5 = - \frac{1}{2} x + 3$

add 5 to both sides:

$\displaystyle y = - \frac{1}{2} x + 8$

hence,

our answer choice is B

3 0

2 years ago

Read 2 more answers

The state of Colorado has roughly the shape of a rectangle that is 3.8 x 102 miles long and 2.8 x 102 miles high. What is the ap

Illusion [34]

104,185 miles is the area of Colorado

6 0

2 years ago

20x^{2} +124x+24[/tex]

vova2212 [387]

Factorization is the process of breaking an integer down into its components or divisors, and further calculation can be defined as follows:

Given:

$20x^{2} +124x+24$

To find:

solve the given problem

Solution:

$\to \bold{20x^{2} +124x+24}\\\\\to \bold{4(5x^{2} +31x+6)}\\\\\to \bold{4(5x^{2} +31x+6)}\ \ \ \ \ \ \ \ \ \ \ 5\times 6= 30 \ \ and\ \ 30 \times 1= 30\\\\\to \bold{4(5x^{2} +(30+1)x+6)}\\\\\to \bold{4(5x^{2} +30x+1x+6)}\\\\\to \bold{4(5x(x +6)+1(x+6)}\\\\\to \bold{4((x +6) (5x+1)}\\\\$

Therefore, the final answer is " $\bold{4((x+6)(5x+1))}$ ".

Learn more:

brainly.com/question/10755001

8 0

1 year ago