Solve the equation: 3x + 1 over 4y2 Please help

A car's speedometer has a percent error of 5%. The speedometer currently shows that the car is traveling at a speed of 60 mph.

Minchanka [31]

Answer:

The actual speed of the car is either 57 mph or 63 mph

Step-by-step explanation:

Given as :

The measured speed o the car = 60 mph

The percentage error in speedometer = 5 %

Let The actual speed of car = x mph

Now, percentage error = $\dfrac{\textrm actual value - \textrm measured value}{\textrm measured value}$ × 100

So, $\frac{5}{100}$ = $\frac{x - 60}{60}$

or, $\frac{5}{100}$ × 60 = x - 60

Or, 3 = x - 60

∴ x = 63 mph

Hence The actual speed of the car is either 57 mph or 63 mph . Answer

8 0

3 years ago

2) A fair coin was tossed 75 times. The coin landed on Heads 42 times and Tails 33 times. What is the experimental probability o

coldgirl [10]

Answer:

$\frac{11}{25}$

Step-by-step explanation:

In the experiment that was conducted the coin was tossed a total of 75 times and out of those times it only landed on tails 33 times. Therefore the experimental probability of the coin landing on tails can be calculated by the dividing the times it landed on tails by the total number of times it was tossed. Like so...

$\frac{33}{75}$ or 0.44

This fraction can also be simplified to its simplest form of $\frac{11}{25}$ which is obtained by dividing both the numerator and denominator by 3

5 0

3 years ago

What is 5x + 11 - 2x = 17

tino4ka555 [31]

Answer: x = 2

Step-by-step explanation:

5x + 11 - 2x = 17

Combine like terms

3x + 11 = 17

Subtract 11 from each side

3x = 6

Divide each side by 3

x = 2

5 0

3 years ago

Read 2 more answers

For for each quadratic function below use method of completing the Square or averaging the x-intercept to write the equation in

lions [1.4K]

We have the expressions:

$f(x)=x^2+6x+15$ $y=x^2-4x+9$ $f(x)=x^2-8x$ $y=x^2+7x-2$

Now, with this we operate as follows:

a)

$f(x)=x^2+6x+15=x^2+6x+9+15-9$ $\Rightarrow(x+3)^2+6$

Then, the axis is x = -3 and the vertex (-3, 6)

b)

$y=x^2-4x+9=x^2-4x+4+9-4$ $\Rightarrow(x-2)^2+5$

Then, the vertex is (2, 5) and the axis is x = 2.

c)

$f(x)=x^2-8x+4-4\Rightarrow(x-2)^2-4$

Then, the vertex is (2, -4) andd the axis is x = 2.

d)

$y=x^2+7x-2=x^2+7x+\frac{49}{4}-2-\frac{49}{4}$ $\Rightarrow(x+\frac{7}{2})^2-\frac{57}{4}$

Then, the vertex is (-7/2, -57/4) and the axis is -7/2.

7 0

1 year ago

PLEASE HELPPP!!!!!!!!!!!!!

Leto [7]

For this case we have:

Question 1:

According to Heron's formula, the area of a triangle is given by:

$A=\sqrt{(s(s-a)(s-b)(s-c))}$

Where a, b and c are the sides of the triangle and s is the semi-perimeter of the triangle given by:

$s=\frac{(a+b+c)}{2}$

Let:

$a = 20mm\\b = 23mm\\c = 27mm$

We have s:

$s=\frac{(20+23+27)}{2}\\s=\frac{70}{2}\\s=35$

Substituting in the formula of the area:

$A=\sqrt{(35(35-20)(35-23)(35-27))}\\A=\sqrt{(35(15)(12)(8))}\\A=\sqrt{(50400)}\\A=224.5mm^2$

Thus, the area of the triangle is $A = 224.5mm ^ 2$

Answer:

$A = 224.5mm ^ 2$

Question 2:

The area of a traingule can be expressed as:

$A=\frac{(b*h)}{2}$

Where:

b: Base of the triangle

h: Triangle height

Let:

$b = 20m\\h = 18m$

Substituting the values in the expression we have:

$A=\frac{(20*18)}{2}\\A=\frac{360}{2}\\A=180m^2$

Thus, the area of the triangle is $A = 180m ^ 2$

Answer:

$A = 180m ^ 2$

Question 3:

It is known that the area of a rectangle is given by:

$A = l * w$

Where:

l: It is the length of the rectangle

w: It is the width of the rectangle

So:

$l = 9 feet\\w = 8 feet$

Substituting:

$A = (9 * 8) feet ^ 2\\A = 72 feet ^ 2$

Thus, the area of Laura's carpet is given by $A = 72 feet ^ 2$

Answer:

$A = 72 feet ^ 2$

Question 4:

We must take out the area of the outer wall, given by a rectangle, then:

$A = l * a$

Where:

l: It is the length of the rectangle

a: It is the height of the rectangle

We have:

$l = 48 feet\\a = 9 feet$

Substituting in the formula we have:

$A = (48 * 9) feet ^ 2\\A = 432ft ^ 2$

Thus, the area of the exterior wall is given by: $A = 432 feet ^ 2$

$432ft ^ 2> 400ft ^ 2$

So, a can of paint is not enough to cover the exterior wall.

Answer:

A can of paint is not enough to cover the exterior wall.

Question 5:

A regular hexagon is formed by 6 equal triangles. The area of the hexagon is given by:

$A=\frac{(perimeter* apothem)}{2}$

Where the perimeter is given by the sum of the sides, that is:

$perimeter = (10 + 10 + 10 + 10 + 10 + 10) cm\\perimeter = 60cm$

And the apothem is the height of each of the triangles that make up the hexagon, that is:

$apothem = 5cm$

Substituting in the formula:

$A=\frac{(60*5)}{2}\\A=\frac{300}{2}\\A=150cm^2$

Thus, the area of the hexagon is $A = 150cm ^ 2$

Answer:

$A = 150cm ^ 2$

7 0

3 years ago