I'm guessing you mean to say that sum of 5 consecutive odd numbers is 135. In that case, let x be the first number. Then
x + (x + 2) + (x + 4) + (x + 6) + (x + 8) = 135
5x + 20 = 135
5x = 115
x = 23
So the numbers are 23, 25, 27, 29, and 31.
If you really did mean 555 consecutive odd numbers summing to 135,135,135, the process is the same, but you would find a non-integer solution so that wouldn't be possible.
Answer:
The answer is 25
Step-by-step explanation:
I got this answer on Khan Academy
Hope this helps! :)
Given that [tex](ax+4)(2x+b)=2x^2+5x-12[/tex], what are the values of a and b?
Answer:
a = 1, b = - 3
Step-by-step explanation:
Expand the factors on the left side, then compare the coefficients of like terms on both sides.
left side
(ax + 4)(2x + b) ← expand using FOIL
= 2ax² + abx +8x + 4b
= 2ax² + x(ab + 8) + 4b
Compare coefficients of like terms with those on right side.
coefficients of x² terms
2a = 2 ( divide both sides by 2 )
a = 1
comparing constant terms
4b = - 12 ( divide both sides by 4 )
b = - 3
The length of two sides of a triangle are 5in. And 17in. Which is a possible length for the third side?
Answer:
b= 2[tex]\sqrt{66}[/tex] or 16.248
Step-by-step explanation:
5^2 +b^2= 17^2
25 + b^2 = 289
-25 -25
b^2=264
b= 2[tex]\sqrt{66}[/tex] or 16.248
The elevation at ground level is 0 feet. An elevator starts at 29 feet below ground
level. After traveling 70 seconds, the elevator is 52 feet above ground level. What
distance does the elevator travel in those 70 seconds?
Answer:
81
Step-by-step explanation:
I just added the 52 and 29 together.
Given: m∠A = m∠C = 90°
AB ║ DC
Prove: ∆ABD ≅ ∆CDB
40 points
Answer:
ABD = CDB
AB is parallel to DC
Step-by-step explanation:
angle a and c are right angles so they are equal and angle b and d are equal because they have a line that touch both letters
AB and DC are parellel because they are the same looking lines just on oppisite sides
As per the ASA congruence theorem, the triangles ΔABD and ΔCDB are congruent.
What are alternate interior angles?When two parallel lines are intersected by a transversal, alternate external angles are created.
Given that, m∠A = m∠C = 90° and AB║DC.
In triangles ΔABD and ΔCDB,
m∠A = m∠C = 90°
m∠ABD = m∠BDC (Alternate interior angles)
BD = DB (Common side)
Hence, as per the ASA congruence theorem, the triangles ΔABD and ΔCDB are congruent.
Learn more about the alternate interior angles:
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PLEASE I NEED IMMEDIATE HELP I will give brainliest
BD=16 and ÁT is the
perpendicular bisector of BD
BC=
Answer:
8
Step-by-step explanation:
16/2=8
Answer:
8
Step-by-step explanation:
A bisector bisects a line in HALF. Thus, by dividing 16 in half you will get BC=8.
Ella is putting her savings into a retirement fund that will compound her $7000 semiannually at 7% interest. How much will her retirement fund be worth after 10 years? *
Answer:
8099
Step-by-step explanation:
Help plz:))) I’ll mark u brainliest
ASAP!!!!!
Answer:
X= 24
la neta no se
Answer:
x = 8.3
Step-by-step explanation:
Triangles always equal to 180 degrees when taking about angles.
The equation would be:
30+(11x+5)+(-5+7x)= 180
add like variables:
30+5-5 = 30
11x+7x = 18x
put them into an equation:
18x +30= 180
cancel out:
18x+30=180
-30 -30
18x = 150
Divide:
18x = 150
÷ 18 ÷18
x = 8.3
This is an estimate as the answer in the calculator would be very long.
By the square property, if b is a real number , and a2=b, then a=
Answer:
[tex]a=\sqrt{6},\:a=-\sqrt{6}[/tex]
Step-by-step explanation:
Given
b is a real number[tex]a^2=b[/tex]as
[tex]\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]
so
[tex]a^2=6[/tex]
[tex]a=\sqrt{b},\:a=-\sqrt{b}[/tex]
Therefore,
[tex]a=\sqrt{6},\:a=-\sqrt{6}[/tex]
Answer:
lal
Step-by-step explanation:
ap3x
On a road trip you drove 280 miles in 4 hours. a) What is your speed in miles per hour? b) Use your equation to determine how far you will travel after 12 hours of driving.
Answer:
a. 70 miles per hour
b. 840 miles
Step-by-step explanation:
280/4 = 70 miles per hour
70*12 = 840 miles
Answer:
a) 70 miles per hour
b)840 miles
Step-by-step explanation:
a) to find the speed, do distance/time
b) if you do 70 miles an hour, and you want to know 12 hours, just times 70x 12
If the new iPhone was on sale for $1200, what is the percent of change if the original prices was $1500.
Answer:
its a -20%changeor a general 20%change
12a[tex]12a^{2} -20a+16a^{3}[/tex]
Answer:
Step-by-step explanation:
4a(3a-5+4a^2)
What is a common tip percentage amount that people receive?
Answer:
15-20%
Step-by-step explanation:
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Three friends met for a book club at a coffee shop. Each friend ordered a cup of coffee and two donuts. The total of the order was $21.75. A. If a cup of coffee costs $3.25, then use the diagram to write an equation to solve for c, the cost of the donut.
the cost of a donut is $2 and the equation that represents the given scenario will be:
3d + 6c = 21.75d = 3.25What is a Linear equation?A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.
Given, Three friends met for a book club at a coffee shop. Each friend ordered a cup of coffee and two donuts. The total of the order was $21.75.
Let " d" be the cost of a cup of coffee
and "c" be the cost of the donut
Since Each friend ordered a coffee and a donut
And there are 3 friends
Thus,
3(d + 2c) = 21.75
3d + 6c = 21.75
Also given, a cup of coffee costs $3.25
d = 3.25
Substituting the values in equation 1
9. 75 + 6c = 21.75
6c = 12
c = 2
therefore, the cost of a donut is $2.
Learn more about Linear equations here:
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factor completely, 0.2x + 0.8 a. x b. 0.8(x + 1) c. 0.2(x + 1) d. 0.2(x + 4)
Answer:
d. 0.2 ( x + 4 )
Step-by-step explanation:
0.2x + 0.8
Both 0.2x and 0.8 have a common factor of 0.2, hence pull 0.2 out.
0.2x + 0.8
0.2 ( x + 4 )
LaShea would like to invest her $100 in birthday money. Which option will give her the most money at the end of the investment period?
1 year at 8 percent
1.5 years at 7 percent
2 years at 6.5 percent
3 years at 4 percent
Answer:
1 year at 8 percent
Step-by-step explanation:
i took the test
Suppose a relief program dropped food and medicine to a disaster area with a paper parachute. If the parachute fell 250 meters, how many feet did the parachute fall?
Answer:
About 820 feet
8.21 exact
Step-by-step explanation:
Multiply length by 3.281
250m * 3.281 = 820.21ft
Can somebody tell me if I did the primes right?
Answer:
You did! well done
Step-by-step explanation:
Please help me out because I am a idiot
Answer:
With?
Step-by-step explanation:
Answer:
you didn't give what you need help with
PLEASE HELP!!! A plumber charges $14 per hour and a $20 flat fee for service. If Ashley's total comes to $111, how many hours did the plumber work? Write an equation to show how you would solve.
Answer:
The plumber worked for 6.5 hours.
Step-by-step explanation:
$111 - $20 = 91
91 / 14 = 6.5
Answer:
6.5 hours
Step-by-step explanation:
111 - 20 = 91, 91 divided by 14 = 6.5, he worked 6.5 hours. Hope this helps!
Select the correct answer from the drop-down menu. Find the trinomial. (22-6) and (22+4) are the factors of
Answer:
im about to solvee
Step-by-step explanation:
Solve using ELIMINATION (with step by step explanation) Please
3x+y=-9
y=5x+7
Answer:
x = -2 (verified by algebra) ✅Step-by-step explanation:
Since we are given the value of y, we can replace it with 5x + 7.
We now have: 3x + 5x + 7 = -9
We can now simplify by adding 3x and 5x to get 8x.
8x + 7 = -9
We can subtract 7
8x = -16
And now, we divide by 8
x = -2
We can check to make sure we are correct
3(-2) + 5 (-2) + 7 = -9
-6 + -10 + 7 = -9
-9 = -9 ✅
A nurse tells Andrew he is six feet tall. What is the equivalent of Andrew's
height in yards?
A. Three yards
B. Six yards
C. Twelve yards
D. Two yards
Answer:
Option D
Step-by-step explanation:
The answer is option D or "two yards." You can find the answer by knowing that a yard equals to three feet in length and because Andrew is six feet you can add three and three together giving you a total amount of two yards.
[tex]1y=3ft[/tex]
[tex]3+3=6[/tex]
[tex]1+1=2[/tex]
[tex]=2y[/tex]
Hope this helps.
What was the name of the physical barrier in ancient India?
Answer: Some natural barriers are the Himalayas isolating the Indian subcontinent from the rest of Asia, the Grand Canyon, the Dead sea, and the Mississippi river.
Some one help ASAP PLEASE
Which expression represents 7 times the diffrence between 300 and 28?
Answer:
Answer
Step-by-step explanation:
300-28= g x 7
a woman buys a cooler for rs 800 and pays rs 60 as per transportation charges if she sells the cooler for rs 1200 find her profit percent
please yall im crying this is hard
Answer:
I think ur and is 4140. but I'm not sure, sorry if its incorrect.
write the rational number as a decimal - 3/11
Answer
0.27
Step-by-step explanation:
3 divided by 11
= 0.27
this is it I believe
solve the literal equation 3xy+2xz for x I never learned this.help me plz!!!!
x(3y + 2z)
Step-by-step explanation:
find the pattern what comes next 63,57,51,45
Answer:
counting by 6's
so it would be 69 next if your talking about the left side
or 39 if your talking abt the right side
Hope this helps!
Spidermans web is 100 feet long. He wants to shoot his web at a projection of 30 degrees. How tall is the building if he is trying to reach the top of the building?
Answer:
50 ft
Step-by-step explanation:
The concept to apply here is that of laws of sine of an angle where;
Sine of an angle theta = opposite length / hypotenuse
Sin 30° = height of building / length of the web
Sin 30° = h / 100
h = 100 sin 30° = 100 * 0.5 = 50 ft