All categories

2 years ago

A race car Travel 100 feet in five seconds at this rate of speed how many feet will the race car travel in a minute?

Mathematics

1 answer:

Dafna11 [192]2 years ago

7 0

Convert minute to seconds (1 minute = 60 seconds), set up a proportion, cross multiply, and solve.

Proportion: $\frac{100 ft}{5 sec}$ = $\frac{x}{60 sec}$

Cross multiply: 60 · 100 = 5 · x

Solve (divide both sides by 5): 1200 = x

Answer: 1200 ft

You might be interested in

Kendra was given three gift certificates for her birthday, each worth 333 points, for a music service. In the past Kendra has do

Grace [21]

Each song downloaded costs 3 points

each video costs 40 points

total of 999 points

if each song cost 3 points and she has 999 points to use she can download 333 songs at max

7 0

3 years ago

Read 2 more answers

Find all roots: x^3 + 7x^2 + 12x = 0 Show all work and check your answer.

Aliun [14]

The three roots of x^3 + 7x^2 + 12x = 0 is 0,-3 and -4

Solution:

We have been given a cubic polynomial.

$x^{3}+7 x^{2}+12 x=0$

We need to find the three roots of the given polynomial.

Since it is a cubic polynomial, we can start by taking ‘x’ common from the equation.

This gives us:

$x^{3}+7 x^{2}+12 x=0$

$x\left(x^{2}+7 x+12\right)=0$ ----- eqn 1

So, from the above eq1 we can find the first root of the polynomial, which will be:

x = 0

Now, we need to find the remaining two roots which are taken from the remaining part of the equation which is:

$x^{2}+7 x+12=0$

we have to use the quadratic equation to solve this polynomial. The quadratic formula is:

$x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

Now, a = 1, b = 7 and c = 12

By substituting the values of a,b and c in the quadratic equation we get;

$\begin{array}{l}{x=\frac{-7 \pm \sqrt{7^{2}-4 \times 1 \times 12}}{2 \times 1}} \\\\{x=\frac{-7 \pm \sqrt{1}}{2}}\end{array}$

Therefore, the two roots are:

$\begin{array}{l}{x=\frac{-7+\sqrt{1}}{2}=\frac{-7+1}{2}=\frac{-6}{2}} \\\\ {x=-3}\end{array}$

And,

$\begin{array}{c}{x=\frac{-7-\sqrt{1}}{2}} \\\\ {x=-4}\end{array}$

Hence, the three roots of the given cubic polynomial is 0, -3 and -4

4 0

2 years ago

Does anyone know what the 5√2 (simplify radicals)?

maks197457 [2]

Answer:

5√2 is as simple as it gets

5√2 ≈ 7.071068

Step-by-step explanation:

One simplifies radical expressions by removing from under the radical any squares that might be there. 2 is a prime number, so has no square factors. The simplest form of this radical expression is the one given:

5√2

Your calculator can tell you the value of this irrational number is about ...

5√2 ≈ 7.071068

8 0

3 years ago

Can someone pls show how to do this is with explanation

Keith_Richards [23]

1m = 100 cm
0.05 m = 5cm
1 km = 10000 cm
0.00005 km = 5 cm
Yes they are equal

(Mark me the brainliest if this has helped!)

4 0

2 years ago

Preston's vegetable patch is 7 yards wide and 17 yards long. Preston wants to build a fence around the vegetable patch. The fenc

bezimeni [28]

Answer: 238$

Step-by-step explanation: 7 x 17 = 119 mutiply this x 2.00 = 238

6 0

2 years ago