Answer:
x+x+2+x+4=318
3x+6=318
3x=312
x=104
The first number is 104.
Step-by-step explanation:
========================================================
Explanation:
n = some integer
2n = some even integer
2n+2 = next integer after 2n
2n+4 = next integer after 2n+2
The sequence {2n, 2n+2, 2n+4} represents three consecutive even integers. One follows right after another. A more concrete example of consecutive even integers could be something like {2,4,6} or {8,10,12}. The goal is to find which set like this has their numbers add to 318.
We could guess-and-check our way to the answer. In other words, use trial and error. However, a much more efficient way is to use algebra.
Let's add up the three number expressions of 2n, 2n+2, and 2n+4 to get
(2n)+(2n+2)+(2n+4) = (2n+2n+2n) + (2+4) = 6n+6
The three numbers add to 6n+6
This sum must be 318. Let's set 6n+6 equal to 318 and solve for n
6n+6 = 318
6n = 318-6
6n = 312
n = 312/6
n = 52
-----------------------
If n = 52, then,
first number = 2n = 2*52 = 104second number = 2n+2 = 2*52+2 = 106third number = 2n+2 = 2*52+4 = 108Note the sequence 104, 106, 108 are all even numbers where they follow right after one another. This shows they are consecutive even numbers.
Furthermore, note how,
104+106+108 = 318
which confirms our answer
Mary was sitting on the ground flying a kite. She had 14 yards of line let out to fly her kite, and the kite was 13 feett in front of her. How high up was the kite? Round answer to the nearest ten-thousandths.
answer 10,000 Because if you round thirteen to the nearest ten thousand it's ten thousand
Explanation
because 10,000 is the first 10,000 you can ever get to
Decide if the following statement is valid or invalid.
If it is sunny this week, then we will go to the park. We went to the park today, so it is sunny .
True or False
Answer:
the answer is false
Step-by-step explanation:
just cause it is
June was thinking of a number. June subtracts 5.6 from the number and gets an answer of 76.9. Form an equation with x from the information.
Answer: x - 5.6 = 76.9
Step-by-step explanation:
The number June thought of would give a result of 76.9 if 5.6 were subtracted from it.
Assume that number is x.
If you subtract 5.6 from x, you would get 76.9.
Equation is therefore:
x - 5.6 = 76.9
Solving for x would make x:
x - 5.6 = 76.9
x = 76.9 + 5.6
x = 82.5
Solve the simulateous equation 3x-4y=18 , 9x+2y=12
Q1. Which of the following are well-defined sets?
(a) All the colors in the rainbow.
(b) All the points that lie on a straight line.
(c) All the honest members in the family.
(d) All the consonants of the English alphabet.
(e) All the tall boys of the school.
(f) All the efficient doctors of the hospital.
(g) All the hardworking teachers in a school.
(h) All the prime numbers less than 100.
(i) All the letters in the word GEOMETRY.
Answer:
A. All the colors in the rainbow.
Step-by-step explanation:
I think.
WILL MARK BRAINLIEST
A green number cube and a red number cube are rolled. An outcome is the pair of numbers rolled on the two different cubes. Which of the following are true? Select all that apply.
Each result is equally likely.
The sample space has 36 different outcomes.
The sample space has 11 different outcomes.
A total roll of 7 is very likely.
Answer:
Each result is equally likely.
The sample space has 36 different outcomes.
Explanation:
A number cube has 6 sides, and there are 2 number cubes so there are 36 possible outcomes because 6² = 36
Answer:
Each result is equally likely.
The sample space has 36 different outcomes.
Step-by-step explanation:
What is 807,000,000 written in scientific notation?
Answer:
8.07 × 10⁸
HOPE THIS HELPS
How do I solve 2/3x-1=-3
Please help me out with this problem
Answer:
KR
Step-by-step explanation:
First, you can see the right angle and the 30 degrees. Those are the same, so we can flip the triangle on the right to match the one on the left. The line that is similar is KR.
3) Calculate the area of the entire triangle below. Show your work *
22
31
8
Answer:
a = 1/2 (b) (h)
Step-by-step explanation:
Use Pythagorean theorem for sub triangle on the left: 8^2 + h^2 = 22^2
Use Pythagorean again for sub triangle on the right: x^2 + h^2= 31^2
Find your base: 8+x=b
Find entire area: a = 1/2 (b) (h)
3. Triangle RST has angle measures as shown. S 5(x+3) 25° 62 R (a) What is the value of x? Show your work. (b) What is the measure of angle S? Show your work.
Answer:
X=2
Step-by-step explanation:
Pls Help!!! ASAP Will give Brainiest!!!
A polling firm wants to use a one-sample z interval to estimate what proportion of voters in a country plan on
voting for a certain candidate. They want the margin of error to be no more than £3% at 99% confidence.
What is the smallest sample size required to obtain the desired margin of error?
Answer:
1844
Step-by-step explanation:
For polling firm survey on voters, the smallest sample size which is required to obtain the desired margin of error, is 1850.
What is margin of error?The probability or the chances of error while choosing or calculating a sample in a survey is called the margin of error.
[tex]MOE=z\times\dfrac{\sigma}{\sqrt{n}}[/tex]
Here, z is the critical value and n is the sample size.
Here, a polling firm wants to use a one-sample z interval to estimate, the number of proportion of voters in a country plan on voting for a certain candidate.
The margin of error for this test is 3% or 0.03 and the confidence interval is 99 percent.
The z value on the confidence interval of 99 percent is 2.576. Here, the standard deviation for this survey is 50 percent, or 0.50.
Put the value in the above formula as,
[tex]0.03=(2.576)\times\dfrac{0.5}{\sqrt{n}}\\n\approx1850[/tex]
Hence, for polling firm survey on voters, the smallest sample size which is required to obtain the desired margin of error, is 1850.
Learn more about the margin of error here;
https://brainly.com/question/10218601
Solve this please with steps b^4-3b^3-10b^2
Answer:
Step-by-step explanation:
There's no "solving" to be done because its an expression, but im assuming the question wants you to factor.
[tex]b^4-3b^3-10b^2[/tex]
First, factor out a b^2
[tex]b^2(b^2-3b-10)[/tex]
Factor the trinomial. What two numbers multiply to equal -10 but add to equal -3? They are -5 and +2
[tex]b^2((b-5)(b+2))[/tex]
solve the right triangle (45-45-90)
Answer:
[tex]HI=HJ=\sqrt{30}[/tex]units
[tex]\angle I=45^{\circ}[/tex]
Step-by-step explanation:
We are given that
[tex]\angle J=45^{\circ}[/tex]
[tex]JI=2\sqrt{15}[/tex]units
We know that
[tex]sin\theta=\frac{Perpendicular\;side}{hypotenuse}[/tex]
Using the formula
[tex]sin45=\frac{HI}{2\sqrt{15}}[/tex]
[tex]\frac{1}{\sqrt{2}}\times 2\sqrt{15}=HI[/tex]
Where [tex]sin45^{\circ}=\frac{1}{\sqrt{2}}[/tex]
[tex]\frac{2\sqrt{15}\times \sqrt{2}}{\sqrt{2}\times \sqrt{2}}=HI[/tex]
By using rationalization
[tex]HI=\sqrt{30}[/tex] units
[tex]Cos45=\frac{HJ}{2\sqrt{15}}[/tex]
Using the formula
[tex]cos\theta=\frac{base}{hypotenuse}[/tex]
[tex]\frac{1}{\sqrt{2}}\times 2\sqrt{15}=HJ[/tex]
[tex]\frac{2\sqrt{15}\times \sqrt{2}}{\sqrt{2}\times \sqrt{2}}=HJ[/tex]
[tex]HJ=\sqrt{30}[/tex] units
When two sides are equal then angle made by two equal sides are equal
Therefore,
[tex]\angle J=\angle I=45^{\circ}[/tex]
find the are of the triangle
Answer:
5 units^2
Step-by-step explanation:
Area of a triangle =
[tex] \frac{bh}{2} [/tex]
plugging in:
[tex] \frac{5 \times 2}{2} [/tex]
[tex] \frac{10}{2} [/tex]
[tex]5[/tex]
Answer:
A=1/2(b)(h)
H= 2 units
b= 5
A= 10×1/2 = 5 units^2
Kyle has 105 baseball cards and must give 2/5 of his cards away.
1.How many cards will Kyle give away?
2. What fraction of his cards does he have left?
X=y-8 and -x-y=0 solve by substitution
Answer:
y=4
Step-by-step explanation:
x=y-8
-x-y=0
-(y-8)-y=0
Distribute the negative
-y+8-y=0
Combine the like terms
-2y+8=0
-8 (to both sides)
-2y=-8
Divide by -2
y=4
describe and correct the error
-1/4 ÷ 3/2 = - 4/1 × 3/2 = -12/2 = -6
Answer:
-1/6
Step-by-step explanation:
(-1/4)/(3/2)=(-1/4)(2/3)=-2/12=-1/6
A b and c are positive integers A:B = 3:8 and B:C = is 6:11 What is the smallest possible value of a + b + c
4y + 4 = 2y - 10
can somebody break this down to solve it ? please
Answer:
y=-7
Step-by-step explanation:
first, you want variables on one side, numbers on the other side of the equation.
4y+4=2y-10
*plus ten on both side to get rid of -10*
4y+14=2y
*minus 4y on each side to get rid of 4y*
14=-2y
*divide by -2 on each side to get the value of just one y itself*
y=-7
8 x = 56 x =____ help
Answer:
7
Step-by-step explanation:
Divide each term by 8 and simplify
27-[18+(16÷(2×3-4))]
Answer:
1
Step-by-step explanation:
27 - {18 + (16 ÷ (2 x 3 - 4))}
27 - {18 + (16 ÷ (6 - 4))}
27 - {18 + (16 ÷ 2)}
27 - {18 + 8}
27 - 26 = 1
This year Goran watched movies. He thought that of them were very good. Of the movies he watched, what percentage did he rate as very good?
Answer: 80%
Step-by-step explanation:
Goran watched 55 movies. Out of those movies, he thought 44 were very good.
The question needs to know what percentage this 44 very good movies comprised of the total number of movies.
= Number of very good movies / Total movies * 100%
= 44 / 55 * 100%
= 0.8 * 100%
= 80%
What is 5 radical 3 times 2
Answer:
16
Step-by-step explanation:
tres amigos. se van de viaje y quieren. alquilar un coche durante un fin de semana.
Han calculado que cada uno tendra que pagar en total 600 pesos por el alquiler del coche.
Antes de reservar se apuntan dos amigos mas
cuanto tendrian que pagar cada hora?
Answer:
operaciones : 600×3= 1800÷5=360.
Step-by-step explanation:
y entonces cada amigo tendra que pagar 360 ya que eran 3 amigos y iban a pagar 600 cada uno pero ahora son 5 asi que deben de pagar 360
Your bank account has a balance of
-$18. You deposit $75. What is
your new balance?
Answer:
$53
Step-by-step explanation:
75-18
hwlp me with this one plzzzzzzzzzzzz
Answer:
x=1
Step-by-step explanation:
I'm not positive, it looks like a trick question but id say x=1 bc 17 × 1 is 17 and 17 is greater than -17 but then again any number greater than 1 such as 2,3,4, or 5 could work
Hi can anyone solve this for me please solve it on a piece of paper please
Answer:
Awsten Knight
Step-by-step explanation:
What is 3 times 1/3 and subtract 5
Answer: -4
Step-by-step explanation:
Rephrase the given expression
3 times 1/3 and subtract 5
3×1/3-5
Do multiplication first, then subtraction
3×1/3-5
=3/3-5
=1-5
=-4
Hope this helps!! :)
Please let me know if you have any questions