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1 year ago

6

The ages of three friends are represented by three consecutive odd numbers. The sum of their ages is 63. If the youngest is repr

esented by x, what equation would be used to find x?

1 answer:

son4ous [18]1 year ago

3 0

Answer:

x+(x+2)+(x+4)=63

Step-by-step explanation:

You might be interested in

Which function is a horizontal compression of its parent function f(x)=x^7 by a factor of 4

evablogger [386]

Answer:

$r(x)=(4x)^7$

Step-by-step explanation:

For a horizontal compression, we multiply whole numbers greater than 1 in front of $x$ of the given function.
For horizontal expansion, we multiply by the reciprocal of the number for horizontal compression, in front of $x$ of the function.

For example,

If we wanted to <u>horizontally compress</u> $y=x^2$ , we would multiply by 4 to get $y=(4x)^2$ , and

if we wante to <u>horizontally expand</u> $y=x^2$ , we would multiply by $\frac{1}{4}$ to get $y=(\frac{1}{4}x)^2$

Since this question asks for horizontal compression, we multiply the $x$ of the function by 4. So the function we need is $f(x)=(4x)^7$ . The second choice is correct.

8 0

2 years ago

A ship leaves port at noon and has a bearing of S29oW. The ship sails at 20 knots. How many nautical miles south and how many na

ira [324]

Answer:

Approximately $58.2\; \text{nautical miles}$ (assuming that the bearing is ${\rm S$29^{\circ}$W}$ .)

Step-by-step explanation:

Let $v$ denote the speed of the ship, and let $t$ denote the duration of the trip. The magnitude of the displacement of this ship would be $v\, t$ .

Refer to the diagram attached. The direction ${\rm S$29^{\circ}$W}$ means $29^{\circ}$ west of south. Thus, start with the south direction and turn towards west (clockwise) by $29^{\circ}$ to find the direction of the displacement of the ship.

The hypothenuse of the right triangle in this diagram represents the displacement of the ship, with a length of $v\, t$ . The dashed horizontal line segment represents the distance that the ship has travelled to the west (which this question is asking for.) The angle opposite to that line segment is exactly $29^{\circ}$ .

Since the hypotenuse is of length $v\, t$ , the dashed line segment opposite to the $\theta = 29^{\circ}$ vertex would have a length of:

$\begin{aligned}& \text{opposite (to $\theta$)} \\ =\; & \text{hypotenuse} \times \frac{\text{opposite (to $\theta$)}}{\text{hypotenuse}} \\ =\; & \text{hypotenuse} \times \sin (\theta) \\ =\; & v\, t \, \sin(\theta) \\ =\; & v\, t\, \sin(29^{\circ})\end{aligned}$ .

Substitute in $\begin{aligned} v &= 20\; \frac{\text{nautical mile}}{\text{hour}}\end{aligned}$ and $t = 6\; \text{hour}$ :

$\begin{aligned} & v\, t\, \sin(29^{\circ}) \\ =\; & 20\; \frac{\text{nautical mile}}{\text{hour}} \times 6\; \text{hour} \times \sin(29^{\circ}) \\ \approx\; & 58.2\; \text{nautical mile}\end{aligned}$ .

7 0

1 year ago

Solve |5x+30|=10x ......

Orlov [11]

Answer:

Option A

Step-by-step explanation:

We need to solve out ,

$\implies |5x + 30| = 10x$

We can write it as ,

$\implies 5x + 30 = \pm 10x$

On simplyfing further,

$\implies 5x + 30 = 10x \quad or \quad 5x +30=-10x$

On solving the above equation , we will get ,

$\implies \boxed{ x = 6,-2}$

Now we know that the value of modulus is never negative so when we will put x is equal to 2 on the RHS we will get -20 which is not possible . Therefore , the extraneous root is -2 .

<u>Option</u><u> </u><u>A </u><u>is </u><u>correct</u><u> </u><u>.</u>

5 0

2 years ago

How do I work out this problem?

cluponka [151]

First we need to find ∡PRQ. To do this we can use the fact that the sum of the interior angles of a triangle is 180°:

$180=R+P+Q$
$180=R+40+105$
$180=R+145$
$R=180-145$
$R=35$

Now, we can use the fact that a strait line (like SRQ) is also 180°:
$SRQ=180-R$
$SRQ=180-35$
$SRQ=145$ °

4 0

2 years ago

If mmc098-2.jpg = 7x + 7, mmc098-3.jpg = 5y, and mmc098-4.jpg = 140, find the values of x and y.

Marina CMI [18]

First i dont know what is the meaning of the mmc098-2.jpg, mmc098-3.jpg and <span>mmc098-4.jpg. but base from what you had written is a set of equation where you solve the values of each variables. but unfortunately i cant solved it because of what you have written there. please give me the correct equation so i can solve it</span>

6 0

2 years ago