Three brothers have ages that are consecutive even integers the product of the first & third boys ages is 20 more than twice the seconds boy age.find the age of each of the boys

Answers

Answer 1

Answer: Let's say X is the first brother's age
x+2 is second brother, and x+4 is the third brother
Since the product of the first and third boy x(x+4) is 20 more than twice (20+x(x+2), our equation is x(x+4)=20+2(x+2)
Simplify from there and see what you get.

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This is my question

Answers

Answer:

Step-by-step explanation:

Answer:

Technically it is supposed to be 37.7 but in this case, the answer is C: 37.68 cm

Step-by-step explanation:

I am smart...Calibri is the superior font and green is the superior highlight color.

What is the slope of the line represented by the equation 10x + 5y = 4?What is the slope of the line represented by the equation y = x/3 - 5

1. Which ordered pairs make the equation true?

3x + 2y = –7

Choose all answers that are correct.
(Points : 1)
(–3, 1)
(–2, –1)
(1, –4)
(3, –8) this one has two answers
I already have the answers I just want to make sure its correct.

Answers

1.
Convert the equations into the slope-intercept form y=mx+b.

$10x+5y=4 \n5y=-10x+4 \ny=-2x+(4)/(5) \nm=\boxed{-2} \Leftarrow \hbox{the slope} \n \ny=(x)/(3)-5 \ny=(1)/(3)x-5 \nm=\boxed{(1)/(3)} \Leftarrow \hbox{the slope}$

2.
$(-3,1) \nx=-3 \n y=1 \n \Downarrow \n3 * (-3)+2 * 1 \stackrel{?}{=} -7 \n-9+2 \stackrel{?}{=} -7 \n-7 \stackrel{?}{=} -7 \n-7 = -7 \n\hbox{the ordered pair makes the equation true}$

$(-2,-1) \nx=-2 \n y=-1 \n \Downarrow \n3 * (-2) + 2 * (-1) \stackrel{?}{=} -7 \n-6-2 \stackrel{?}{=} -7 \n-8 \stackrel{?}{=} -7 \n-8 \not= -7 \n\hbox{the ordered pair doesn't make the equation true}$

$(1,-4) \nx=1 \n y=-4 \n \Downarrow \n3 * 1+2 * (-4) \stackrel{?}{=}-7 \n3-8 \stackrel{?}{=}-7 \n-5 \stackrel{?}{=}-7 \n-5 \not= -7 \n\hbox{the ordered pair doesn't make the equation true}$

$(3,-8) \nx=3 \n y=-8 \n \Downarrow \n3 * 3+2 * (-8) \stackrel{?}{=} -7 \n9-16 \stackrel{?}{=} -7 \n-7 \stackrel{?}{=} -7 \n-7 =-7 \n\hbox{the ordered pair makes the equation true}$

The ordered pairs (-3,1) and (3,-8) make the equation true.

A light private plane can fly 120 mph in still air. Flying against the wind, the plane can fly 320 miles in the same time it requires to fly 640 miles with the wind. Find the rate of the wind. A) 120 mph
B) 80 mph
C) 40 mph

Answers

Alright, lets get started.

A light private plane can fly 120 mph in still air.

Suppose the speed of wind = x mph

Against the wind, speed of plane will be = 120-x

With the wind, speed of plane will be = 120+x

Flying against the wind, the plane can fly 320 miles, so time taken will be

t = $(320)/(120-x)$

With the wind, the plane can fly 640 miles, so time taken will be

$t = (640)/(120+x)$

Both times are given same, so

$(320)/(120-x)= (640)/(120+x)$

Cross multiplying

$320(120+x) = 640(120-x)$

Dividing from 320

$120+x = 2(120-x)$

$120+x = 240-2x$

$3x = 120$

x = 40 mph

So, the speed of the wind is 40 mph. : Answer

Hope it will help :)

Answer:

Step-by-step explanation:

Mike recently increased the size of his Jeep tires from the original 29 inch diameter to the larger 33.73 inch diameter. If Mike didn't recalibrate his speedometer, how fast is he really going on the new tires when his speedometer shows he is traveling 60 mph?a. 54.5 mph
b. 62.1 mph
c. 66.1 mph
d. 69.8 mph

Answers

Answer:

d. 69.8 mph

Step-by-step explanation:

Since, the ratio of the diameter of the tyre of a vehicle and its speed must be constant,

Given,

The original diameter of the tyre = 29 inch,

Original speed = 60 mph,

Thus, the ratio of diameter and the speed of the vehicle = $(29)/(60)$

New diameter of the tyre = 33.73 inch,

Let x be the new speed of the vehicle = $(33.73)/(x)$

$\implies (29)/(60)=(33.73)/(x)$

$\implies x=(33.73* 60)/(29)=69.79\approx 69.8\text{ mph}$

Hence, the actual speed of the vehicle would be 69.8 mph.

OPTION D is correct.

Two stores have movies to rent.The first store charges a $20 per-month membership fee plus $1.50 per movie rented.
The second store has no membership fee but charges $3.50 per movie rented.

How many movies would you have to rent in order for the cost to be the same at both stores?

Answers

Answer: 6 movies

Step-by-step explanation:

$20+$1.50= $21.50

$3.50x6= $21

What is 12minus 2 multiply 6 plus 2 divide by 2

Answers

$12-2*6+2/2 \n PEMDAS \n 12-(2*6)+(2/2) \n 12-12+1 \n 1$

$12-2*6+ (2)/(2) \n \n =12-12+1 \n \n =1$

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