All categories

3 years ago

Are these ratios equivalent? 3.5: 42 and 2.5:32 Yes or no

Mathematics

1 answer:

Anton [14]3 years ago

8 0

No . they are not equivalent

solution

3.5/42 = 35/420 = 7/84 = 1/12

2.5/32 = 25/320 = 5/64

1/12 ≠ 5/64

You might be interested in

Select the two values of x that are roots of this equation x^2-5x+2=0

Nataly [62]

The roots of the equation is x = 4.56 OR x = 0.44

<h3>Quadratic equation</h3>

From the question, we are to determine the roots of the given equation

The given equation is

x² -5x +2 = 0

Using the formula method,

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

In the given equation,

a = 1, b = -5, c = 2

Putting the values into the formula,

$x =\frac{-(-5) \pm \sqrt{(-5)^{2}-4(1)(2) } }{2(1)}$

$x =\frac{5 \pm \sqrt{25-8} }{2}$

$x =\frac{5 \pm \sqrt{17} }{2}$

$x =\frac{5 + \sqrt{17} }{2}$ OR $x =\frac{5 - \sqrt{17} }{2}$

$x =\frac{5 + 4.12}{2}$ OR $x =\frac{5 - 4.12}{2}$

$x =\frac{9.12}{2}$ OR $x =\frac{0.88}{2}$

x = 4.56 OR x = 0.44

Hence, the roots of the equation is x = 4.56 OR x = 0.44

Learn more on Quadratic equation here: brainly.com/question/8649555

#SPJ1

3 0

2 years ago

A boat traveled 240 miles downstream and back. The trip downstream took 12 hours. The trip back took 24 hours. What is the speed

RoseWind [281]

Answer:

rate boat = 15 mph

rate current = 5 mph

explanation:

d = r * t

t = d/r

240 / (r_boat + current) = 12 Multiply both sides by r_boat + r_current.

240 = 12(r_boat + current)

240/ (r_boat - current) = 24 Multiply both sides by r_boat - r_current

240 = 24*(r_boat - current)

Since the distances are the same in both equations, you can equate the right side of each.

12 (r_boat + current) = 24(r_boat - current) Divide by 12

r_boat + current = 2 (r_boat - current) Remove the brackets.

r_boat + current = 2*r_boat - 2* current add 2 currents to both sides

r_boat + 3currents = 2*r_boat Subtract r_boat both sides

3 currents = r_boat.

240 = 12*(r_boat + current. Divide by 12

20 = r_boat + current Put 3 currents in for r_boat

20 = 3currents + 1 current Combine

20 = 4 currents Divide by 4

5 = current

The rate of the current = 5 miles / hour

3 currents = r_boat

3*5 = rate_boat

15 = rate of the boat

8 0

3 years ago

I don’t understand this at all

Mnenie [13.5K]

Answer:

B = 61.0

Step-by-step explanation:

Since this is a right angle, we can use trig functions

sin theta = opp side/ hypotenuse

sin B = 7/8

Take the inverse of each side

sin ^-1 ( sin B) = sin ^ -1 (7/8)

B =61.04497563

To the nearest tenth

B = 61.0

5 0

3 years ago

Use the Distributive Property to solve the equation.

Arada [10]

Answer:

x= - 9

Step-by-step explanation:

- 8(x +7) = 16
-8x - 56 = 16
-8x = 16 + 56
-8x = 72
x = 72 ÷ (-8)
x = -9

5 0

3 years ago

A rectangle is enlarged by a factor of 6.<br> What is the area of the enlarged rectangle.

guajiro [1.7K]

Answer:

A. 120 in.

Step-by-step explanation:

Just multiply the two numbers.

7 0

3 years ago