All categories

3 years ago

Solve the proportion: Round answer to nearest tenth, if necessary: r =_____

Mathematics

2 answers:

mart [117]3 years ago

3 0

Answer:

The value of r is 4

Step-by-step explanation:

$\frac{r}{4} = \frac{60}{120}$

In order to find the value of r, you need to get rid of denorminator. By multiplying 4 to both sides:

(r/4)×4 = (60/120)×4

r = (1/2)×4

= 2

Margarita [4]3 years ago

3 0

Answer:

r = 2

Step-by-step explanation:

Note that 60/120 reduces easily to 1/2. Then we have:

r/4 = 1/2

Multiplying both sides by 4 removes the fractions, yielding r = 2

You might be interested in

Marjorie needs to calculate how much water a cylindrical tank will hold. The tank is 9 feet high and has a diameter of 5 feet. H

aniked [119]

Answer:

The volume of the cylindrical tank is 176.625 cubic feet.

Step-by-step explanation:

Given : The tank is 9 feet high and has a diameter of 5 feet.

To find : Marjorie needs to calculate how much water a cylindrical tank will hold ?

Solution :

The volume of a cylinder is $V=\pi r^2 h$

The diameter is d=5 feet

The radius is $r=\frac{d}{2}$

$r=\frac{5}{2}=2.5$ feet.

The height is h=9 feet.

Substitute the value in the formula,

$V=3.14\times (2.5)^2\times 9$

$V=3.14\times 6.25\times 9$

$V=176.625$

The volume of the cylindrical tank is 176.625 cubic feet.

8 0

3 years ago

Read 2 more answers

Evaluate the expression using the given value of the variable. 4 – 2x + 5x when x = 4 16 –24 –18 28

Snowcat [4.5K]

Answer:

A) 16

Step-by-step explanation:

The question is:

Evaluate the expression using the given value of the variable.

$4-2x+5x$ when $x = 4$

A) 16

B) -24

C) -18

D) 28

Solution:

Given expression:

$4-2x +5x$

Plugging in $x = 4$ in the expression

⇒ $4-2(4)+5(4)$

⇒ $4-8+20$

⇒ $16$

So the expression evaluates to 16 when we put $x = 4$

3 0

3 years ago

Is the expression 3(x+11/2)-3 equivalent to 3x+11/2

valentinak56 [21]

Answer:i dont think so

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

A parabola has its vertex at (2, 2), and the equation of its directrix is y = 2.5. The equation that represents the parabola is

LUCKY_DIMON [66]

We are given with the data of a parabola with vertex at (2, 2) and directrix at <span>y = 2.5. the formua should be ax^2 + b x + c = y because of the directrix.

(x-h)^2 = 4a (y-k)
(x-2)^2 =4a (y-2)
a is the equidistant distance from focus to vertex and from vertex to directrix that is equal to -0.5
then the answer is
</span>(x-2)^2 =-0.5*4 (y-2)
<span>x2 - 4x + 4 = -2y +4
x2-4x+2y = 0

answer is C

</span>

3 0

3 years ago

Find all points having an x-coordinate of 5 whose distance from the point (2, 6) is 5

andre [41]

Answer:

The points are (5,2) and (5,10)

Step-by-step explanation:

we know that

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$