Ask question

Ask question

All categories

2 years ago

13

Three consecutive odd integers are such that the sum of the first and second is 31 less than 3 times the third. Find the integer

s (URGENT)

1 answer:

Otrada [13]2 years ago

3 0

1st:x

2nd x+2

3rd: x+4

(x)+(x+2) = 3(x+4)-31

distribute

2x+2 = 3x+12-31

2x+2 =3x-19

subtract 2x from each side

2 = x-19

add 19 to each side

21 =x

Answer: 21,23,25

You might be interested in

A tank contains 30 lb of salt dissolved in 300 gallons of water. a brine solution is pumped into the tank at a rate of 3 gal/min

sesenic [268]

$A'(t)=(\text{flow rate in})(\text{inflow concentration})-(\text{flow rate out})(\text{outflow concentration})$
$\implies A'(t)=\dfrac{3\text{ gal}}{1\text{ min}}\cdot\left(2+\sin\dfrac t4\right)\dfrac{\text{lb}}{\text{gal}}-\dfrac{3\text{ gal}}{1\text{ min}}\cdot\dfrac{A(t)\text{ lb}}{300+(3-3)t\text{ gal}}$
$A'(t)+\dfrac1{100}A(t)=6+3\sin\dfrac t4$

We're given that $A(0)=30$ . Multiply both sides by the integrating factor $e^{t/100}$ , then

$e^{t/100}A'(t)+\dfrac1{100}e^{t/100}A(t)=6e^{t/100}+3e^{t/100}\sin\dfrac t4$
$\left(e^{t/100}A(t)\right)'=6e^{t/100}+3e^{t/100}\sin\dfrac t4$
$e^{t/100}A(t)=600e^{t/100}-\dfrac{150}{313}e^{t/100}\left(25\cos\dfrac t4-\sin\dfrac t4\right)+C$
$A(t)=600-\dfrac{150}{313}\left(25\cos\dfrac t4-\sin\dfrac t4\right)+Ce^{-t/100}$

Given that $A(0)=30$ , we have

$30=600-\dfrac{150}{313}\cdot25+C\implies C=-\dfrac{174660}{313}\approx-558.02$

so the amount of salt in the tank at time $t$ is

$A(t)\approx600-\dfrac{150}{313}\left(25\cos\dfrac t4-\sin\dfrac t4\right)-558.02e^{-t/100}$

3 0

3 years ago

NEED SMART STUDENT?#TRIG

horsena [70]

Tan(angle) = Opposite Leg / adjacent leg

tan(37) = x / 10

x = 10 *tan(37)

x = 7.5

3 0

3 years ago

Use OZ with VWXY<br> What is XY ?<br><br> A 30<br> B. 35<br> C. 40<br> D. 50

valkas [14]

Answer:

Step-by-step explanation:

Chords having equal measures are equidistant from the center of the circle.

Since, VW = XY

Therefore, ZP = ZR = 15 units

A perpendicular line drawn from the center of a circle to the chord is the bisector of the chord.

VR = WR = 20 units

By applying Pythagoras theorem in ΔZRV,

ZV² = ZR² + VR²

ZV² = (15)² + (20)²

ZV = √(225 + 400)

ZV = √625

ZV = 25 units

Therefore, measure of radius ZV = 25 units.

VW = XY [Given]

Therefore, XY = 2(20)

= 40 units

4 0

3 years ago

A construction crew has just finished building a road. The crew worked for

Ket [755]

So 11 and a half day so count up how the hours in a day so 24 hr and multiply it by 11 and 0.5 ( bc 0.5 is 1/2)
That’s the first part Ik how to do

5 0

3 years ago

Please answer it now in two minutes

ziro4ka [17]

The correct answer is 4

Step by step is blew

Hopefully this help you

3 0

2 years ago

Read 2 more answers