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2 years ago

Mhanifa please help! Solve each proportion. Round your answer to the nearest hundreth

Mathematics

1 answer:

Marianna [84]2 years ago

4 0

Answer:

5) m/5 = 7/2 ⇒ m = 5*7/2 ⇒ m = 35/2
6) 7/4 = r/5 ⇒ r = 5*7/4 ⇒ r = 35/4
7) 7/6 = 5/x ⇒ x = 5*6/7 ⇒ x = 30/7
8) 6/5 = 2/(5n) ⇒ 5n*6 = 5*2 ⇒ n = 10/30 ⇒ n = 1/3

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Solve for x. 3(3x - 1) + 2(3 - x) = 0

olga nikolaevna [1]

The equation given in the question is
3(3x - 1) + 2(3 - x) = 0
9x - 3 + 6 - 3x = 0
6x + 3 = 0
6x = - 3
x = - (3/6)
= - (1/2)
So the value of x as has been determined above is -1/2. I hope the procedure is clear enough for you to understand.<span>You can always use this method for solving problems that are similar in type without requiring any help from outside. </span>

8 0

3 years ago

1. What is the volume, in cubic centimeters, of the sphere shown below? Use 3.14<br> for Pi

prohojiy [21]

Answer:

113.04 cm³

Step-by-step explanation:

diameter = 6cm

so radius = 3cm

Volume of sphere = $\frac{4}3}$ $\pi r^3$

= 4 * 3.14 * 3 * 3 *3 / 3

= 4 * 28.26

= 113.04 cm³

6 0

2 years ago

What kind of context clue provides the meaning of a word directly in the sentence?

____ [38]

Answer:

The answer is definition.

Hope i helped

3 0

2 years ago

Somebody please help so I can pass, please

ASHA 777 [7]

First, we are going to find the vertex of our quadratic. Remember that to find the vertex $(h,k)$ of a quadratic equation of the form $y=a x^{2} +bx+c$ , we use the vertex formula $h= \frac{-b}{2a}$ , and then, we evaluate our equation at $h$ to find $k$ .

We now from our quadratic that $a=2$ and $b=-32$ , so lets use our formula:
$h= \frac{-b}{2a}$
$h= \frac{-(-32)}{2(2)}$
$h= \frac{32}{4}$
$h=8$
Now we can evaluate our quadratic at 8 to find $k$ :
$k=2(8)^2-32(8)+56$
$k=2(64)-256+56$
$k=128-200$
$k=-72$
So the vertex of our function is (8,-72)

Next, we are going to use the vertex to rewrite our quadratic equation:
$y=a(x-h)^2+k$
$y=2(x-8)^2+(-72)$
$y=2(x-8)^2-72$
The x-coordinate of the minimum will be the x-coordinate of the vertex; in other words: 8.

We can conclude that:
The rewritten equation is $y=2(x-8)^2-72$
The x-coordinate of the minimum is 8

8 0

3 years ago

Read 2 more answers

Suppose a circle with center (14,9) passes through point (16, 12). Which equation represents the circle?

kifflom [539]

Answer:

( x - 14)^2 + ( y - 9)^2 = 13

Step-by-step explanation:

The equation of the circle with a center and a point

( x - a) ^2 + ( y - b) ^2 = r^2

( 14 , 9) - center-( a, b)

a = 14

b = 9

( 16 , 12) - point - ( x, y)

x = 16

y = 12

Step 1: substitute the center into the equation

( x - 14)^2 + ( y - 9)^2 = r^2

Step 2: substitute the point into the equation

( x - 14)^2 +( y - 9)^2 = r^2

( 16 - 14)^2 + ( 12 - 9)^2 = r^2

2^2 + 3^2 = r^2

4 + 9 = r^2

13 = r^2

Step 3: subs the radius into the equation

( x - 14)^2 + ( y - 9)^2 = r^2

( x - 14)^2 + (y - 9)^2 = 13

Therefore, the equation of the circle is

( x - 14)^2 + ( y - 9)^2 = 13

8 0

3 years ago