Given:
There are two consecutive odd integers such that the square of the first added to 3 times the second, is 24.
To find:
Part a: Define the variables.
Part b: Set up an equations that can be solved to find the integers.
Part c: Find the integers.
Solution:
Part a:
Let x be the first odd integers. Then next consecutive odd integer is [tex]x+2[/tex], because the difference between two consecutive odd integers is 2.
Part b:
Square of first odd integers = [tex]x^2[/tex]
Three times of second odd integers = [tex]3(x+2)[/tex]
It is given that the sum of square of first odd integers and three times of second odd integers is 24. So, the required equation is:
[tex]x^2+3(x+2)=24[/tex]
Part c:
The equation is:
[tex]x^2+3(x+2)=24[/tex]
It can be written as:
[tex]x^2+3x+6=24[/tex]
[tex]x^2+3x+6-24=0[/tex]
[tex]x^2+3x-18=0[/tex]
Splitting the middle term, we get
[tex]x^2+6x-3x-18=0[/tex]
[tex]x(x+6)-3(x+6)=0[/tex]
[tex](x-3)(x+6)=0[/tex]
[tex]x=3,-6[/tex]
-6 is not an odd integer, so [tex]x=3[/tex] and the first odd integer is 3.
Second odd integer = [tex]x+2[/tex]
= [tex]3+2[/tex]
= [tex]5[/tex]
Therefore, the two consecutive odd integers are 3 and 5.
someone please help!!!
Answer: top
Step-by-step explanation:
If the mean of the data set shown below is 11, find x.
x, 12, 8, 15
11.5
10
9
Answer:9
Step-by-step explanation:
You have to add it together
can anybody help me with these?
La suma de dos numeros es 57, y su diferencia es 9
Answer:
La suma de dos numeros es 57.Si el mayor de los dos números es 9 menos que el doble de los más pequeños, encuentre los dos números.
(Scroll Down for Answer!)
Step-by-step explanation:
3*y = 57 + 9 = 66
y = 66/3 = 22
x + 22 = 57
x = 57 - 22 = 35
Por lo tanto, los números son 35 and 22.
The height of any child in Mr.Diaz’s class is no greater than 46 inches
Answer: h _<_ 46
there’s the line underneath the sign
Step-by-step explanation:
Walter needs new grass in the circular pen for his chickens. The pen has 308 feet of fencing. What is the area of the pen?
Answer: 7546feet²
Step-by-step explanation:
Since the pen has 308 feet of fencing, this is the perimeter of the circular pen and we can get the raduus which goes thus:
Circumference of a circle = 2πr
2πr = 308
2 × 22/7 × r = 308
44/7 × r = 308
r = 308 × 7/44
r = 49
Therefore, area of the circular pen will be:
= πr²
= 22/7 × 49 × 49
= 7546feet²
A family wants to rent a car to go on vacation. Company A charges $50.50 and 11¢ per mile. Company B charges $60.50 and 14¢ per mile. How much more does Company B charge for x miles than Company A?
Answer:
3 more cents per mile
Step-by-step explanation:
PLEASEEEEEEEEEEEEEEEEE
What number is 1 tens and 20 ones?
Answer:
30
Step-by-step explanation:
1 ten = 10, 20 ones = 20
A country's population in 1991 was 147 million.ON 1998 it was 153 million.Estimate the population in 2017 using the exponential growth formula round your answer to the nearest million.
Note when solving foe k,round four decimal places
P=Aekt
Answer:
its 169 million i think sorry if wrong have a good day
Step-by-step explanation:
There are blank
legs for every 4 ears.
There are blank
legs for every 1 ear
Answer:
There are 8 legs for every 4 ears.
There are 2 legs for every 1 ear.
Step-by-step explanation:
The pig and the mouse have a total of 4 ears.
We can count to see that there are 8 legs for every 4 ears.
We want to find a ratio of legs to ears that is equivalent to 8:4
What is 2x - 1 < 3? Solve
Answer:
x<2
Step-by-step explanation:
Answer:
x<2
Step-by-step explanation:
Let's solve your inequality step-by-step.
2x−1<3
Step 1: Add 1 to both sides.
2x−1+1<3+1
2x<4
Step 2: Divide both sides by 2.
2x/ 2 < 4/ 2
x<2
Answer:
x<2
A Ferris wheel at the local fair has a diameter of 52 meters. Which expression can be used to find its circumference, C, in meters
A. C= 26 x π
B. C= 52 x π
C. C= 2 x 52 x π
D. C= 26²π
And how did you get the answwr
Convert 6.3 meters to millimeters.
Answer:6300mm
Step-by-step explanation:
What is the circumference of a circle with radius 3?
6pi
9pi
3pi
3pi/2
Pls help! First correct answer gets brainliest!!
Answer:
3 and -(-2)
Step-by-step explanation:
Find the value of x that makes mln (8x - 22) (5x + 290°
Answer:
give me brainliest now plsssss
Step-by-step explanation:
(8x-22)=5x+29
We move all terms to the left:
(8x-22)-(5x+29)=0
We get rid of parentheses
8x-5x-22-29=0
We add all the numbers together, and all the variables
3x-51=0
We move all terms containing x to the left, all other terms to the right
3x=51
x=51/3
x=17
Samantha drives at a rate of 45 mph. Bridget drives at a rate of 70 miles every 2 hours. Who drives faster?
Answer: Samantha
Step-by-step explanation: 70 miles every two hours is only 35 mph, so Samantha is faster
Answer:
Samantha is faster then Bridget because Samantha is 45 and Bridget is 35
Please help me with this homework question. No silly answers please and no bots! I will mark brainliest to whoever gets all them right. Thank you !
Answer:
The formula for the area of the triangle is:
[tex]\displaystyle A=24x^2[/tex]
When x = 3, the area is 216 square centimeters.
When x = 2.4, the area is 138.24 square centimeters.
And when x = 5, the hypotenuse of the triangle is 50 centimeters.
Step-by-step explanation:
We are given a right triangle with a height of 8x and a base of 6x.
The area of a triangle is given by the formula:
[tex]\displaystyle A=\frac{1}{2}bh[/tex]
So, by substitution:
[tex]\displaystyle A=\frac{1}{2}(8x)(6x)=24x^2[/tex]
When x = 3, the area will be:
[tex]\displaystyle A(3)=24(3)^2=216\text{ cm}^2[/tex]
And when x = 2.4, the area will be:
[tex]A(2.4)=24(2.4)^2=138.24\text{ cm}^2[/tex]
When x = 5, the height will be 8(5) = 40 cm and the base will be 6(5) = 30 cm.
By the Pythagorean Theorem:
[tex]a^2+b^2=c^2[/tex]
So:
[tex](40)^2+(30)^2=c^2[/tex]
The hypotenuse will be:
[tex]c=\sqrt{1600+900}=\sqrt{2500}=50\text{ cm}[/tex]
Determine the value of x in the diagram.
what's the distance between the two points , ( -3 , -4 ) and ( 4 , 3 ) ?
Answer:
9.8995
Step-by-step explanation:
Which of the following steps would you perform to the system of equations below so that the equations have equal x coefficients? 4x+2y=4 12x+y=22 A. Multiply both sides of the top equation by 3 B. Divide both sides of the top equation by 3 C. Divide both sides of the bottom equation by 2 D. Multiply both sides of the bottom equation by 3
3.1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679821480865132823066470938446095505822317253594081284811174502841027019385211055596446229489549303819644288109756659334461284756482337867831652712019091456485669234603486104543266482133936072602491412737245870066063155881748815209209628292540917153643678925903600113305305488204665213841469519415116094330572703657595919530921861173819326117931051185480744623799627495673518857527248912279381830119491298336733624406566430860213949463952247371907021798609437027705392171762931767523846748184676694051320005681271452635608277857713427577896091736371787214684409012249534301465495853710507922796892589235420199561121290219608640344181598136297747713099605187072113499999983729780499510597317328160963185950244594553469083026425223082533446850352619311881710100031378387528865875332083814206171776691473035982534904287554687311595628638823537875937519577818577805321712268066130019278766111959092164201989380952572010654858632788659361533818279682303019520353018529689957736225994138912497217752834791315155748572424541506959508295331168617278558890750983817546374649393192550604009277016711390098488240128583616035637076601047101819429555961989467678374494482553797747268471040475346462080466842590694912933136770289891521047521620569660240580381501935112533824300355876402474964732639141992726042699227967823547816360093417216412199245863150302861829745557067498385054945885869269956909272107975093029553211653449872027559602364806654991198818347977535663698074265425278625518184175746728909777727938000816470600161452491921732172147723501414419735685481613611573525521334757418494684385233239073941433345477624168625189835694855620992192221842725502542568876717904946016534668049886272327917860857843838279679766814541009538837863609506800642251252051173929848960841284886269456042419652850222106611863067442786220391949450471237137869609563643719172874677646575739624138908658326459958133904780275900994657640789512694683983525957098258226205224894077267194782684826014769909026401363944374553050682034962524517493996514314298091906592509372216964615157098583874105978859597729754989301617539284681382686838689427741559918559252459539594310499725246808459872736446958486538367362226260991246080512438843904512441365497627807977156914359977001296160894416948685558484063534220722258284886481584560285060168427394522674676788952521385225499546667278239864565961163548862305774564980355936345681743241125150760694794510965960940252288797108931456691368672287489405601015033086179286809208747609178249385890097149096759852613655497818931297848216829989487226588048575640142704775551323796414515237462343645428584447952658678210511413547357395231134271661021359695362314429524849371871101457654035902799344037420073105785390621983874478084784896833214457138687519435064302184531910484810053706146806749192781911979399520614196634287544406437451237181921799983910159195618146751426912397489409071864942319615679452080951465502252316038819301420937621378559566389377870830390697920773467221825625996615014215030680384477345492026054146659252014974428507325186660021324340881907104863317346496514539057962685610055081066587969981635747363840525714591028970641401109712062804390397595156771577004203378699360072305587631763594218731251471205329281918261861258673215791984148488291644706095752706957220917567116722910981690915280173506712748583222871835209353965725121083579151X2
Answer:pi
Step-by-step explanation:
pi
Answer:that eqauls pie
Step-by-step explanation:
-
I need help pls !!!
Answer:
i think A
Step-by-step explanation:
if it's not that then im sorry for wrong answer
FIND THE ANSWER AND I WILL GIVE BRAINLIEST AND 50 POINTS
Answer:
Paul needs to work for 50 weeks.
Step-by-step explanation:
1,500+200= 1700
14,200-1,700= 12,500
12,500/125= 100
100/2= 50
let me know if this is wrong.
Of the cans of soup in Rolando’s cupboard, 2/4
are tomato and
1/3 are vegetables. What fraction of the cans of soup in Rolando’s cupboard are either tomato or vegetable?
A
5/6
B
6/20
C
19/20
D
8/12
Answer:
A
Step-by-step explanation:
To find the answer, convert the fractions so that they have the same denominator. 2/4 can be 3/6, since both of them are one half. 1/3 can be 2/6 since both are a third. 3/6 + 2/6 = 5/6.
divide the sum of 15 and 16 by 5
Answer:
6.2
Step-by-step explanation:
15+16=31
31/5=6.2
Step-by-step explanation:
[tex]15 + 16 \div 5 \\ calculate \: the \: sum \: of \: 15 \: and \: 16 \\ 31 \div 5 = 6 \frac{1}{5} \\ or \: 6.2[/tex]
Razionalisacion de denominadores 3 v3 tres sobre raiz cuadrada de 3
Answer:
√3
Step-by-step explanation:
Spanish
Racionalización de denominadores 3 / v3 tres sobre raíz cuadrada de 3
da
Usando el método de índices
3 / √3 = 3¹ / 3¹ / ²
= 3¹ / 3⁰.⁵
= 3¹⁻¹ / ²
= 3 ¹ / ²
= √3
Esto también se puede resolver multiplicando tanto el numerador como el denominador por √3
3 / √3 * √3 / √3
= 3√3 / √3 * 3
= 3√3 / √9
= 3√3 / 3
Los tres se cancelan y nos queda √3
English
Rationalization of denominators 3 /v3 three over square root of 3
gives
Using the method of indices
3 / √3 = 3¹/ 3¹/²
= 3¹/ 3⁰.⁵
= 3¹⁻¹/²
=3 ¹/²
=√3
This can also be solved multiplying both the numerator and the denominator by √3
3 / √3 * √3/√3
= 3√3/ √3*3
= 3√3/ √9
= 3√3/ 3
The three are cancelled and we are left with √3
(36+4) divided by 10 how do I write it in a story problem
Step-by-step explanation:
you can write it as
the sum of of thirty six(36) and four(4) is divided by Ten(10)
Plsss hElpp!!!!! TY!!
Find the area of the circle below, to the nearest tenth. Use 3.14 for t.
Given:
A circle with diameter 9 cm.
To find:
The area of the circle.
Solution:
The area of a circle is:
[tex]A=\pi r^2[/tex] ...(i)
Where r is the radius.
We know that, the diameter of a circle is twice than its radius.
The diameter of the given circle is 9 cm.
[tex]r=\dfrac{9}{2}[/tex]
[tex]r=4.5[/tex]
Substituting [tex]r=4.5, \pi =3.14[/tex] in (i), we get
[tex]A=(3.14)(4.5)^2[/tex]
[tex]A=(3.14)(20.25)[/tex]
[tex]A=63.585[/tex]
[tex]A\approx 63.6[/tex]
Therefore, the area of the given circle is 63.6.