The sum of three consecutive even numbers is 108. Write and evaluate an expression in terms of x to determine the smallest of the three numbers. Include parentheses in your expression.
Answer:
[tex]34[/tex]
Step-by-step explanation:
Let the first number be [tex]x[/tex]
The next number be [tex]2[/tex] more than the previous as it is an even number
The second number is [tex]x+2[/tex]
and the last number is [tex]x+4[/tex]
The sum of the numbers is [tex]108[/tex], so the expression will be
[tex]x+(x+2)+(x+4)=108[/tex]
[tex]\Rightarrow 3x+6=108[/tex]
[tex]\Rightarrow x=\dfrac{108-6}{3}[/tex]
[tex]\Rightarrow x=34[/tex]
The smallest of the three numbers is [tex]34[/tex].
m/1= 58° and m/2= 122°
1
2
3
4
What is m/3?
Enter your answer in the box.
Answer:
58 degrees.
Step-by-step explanation:
M<3 = M<1 (opposite angles).
Wich expression makes equation true for all values of x.
Answer:
A
Step-by-step explanation:
Helpp me find the answer ASAP!!! plss!!
2.) Whats the answer for EBD
4.) Whats the answer for PNS, NSR, and NPR
Answer:
Perpendicular
90 degrees
Step-by-step explanation:
When perpendicular lines intersect they form 4 right angles. Since these lines meet at 90-degree angles they must be perpendicular. Also, <ABC is directly across from <EBD, this means they are vertical angles. Vertical angles are congruent, so <EBD measures 90 degrees.
Plsssss help me illl appreciate it
Answer:
(2,2)
Step-by-step explanation:
-3 + 5 = 2
4 - 2 = 2
Find the length of the hypotenuse of the right triangle.
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Answer: 34
I hope this helped!
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Answer: C=34
Step-by-step explanation:
[tex]16^{2} +30^{2} =C^{2} \\\sqrt{C^{2} }+ C[/tex]
Please help.
Is algebra.
Answer:
5. 3[tex]x^{4}[/tex]
6. id k this one
Jeremy has a set of wooden sticks with the length of 10cm, 12cm, and 15cm. Explain whether or not he would be able to form a triangle with these tree sticks?
Answer:
YES, he would be able to form a triangle with these tree sticks
Step-by-step explanation:
The sum of the lengths of any two sides of a triangle is greater than the length of the third side. And this MUST be true with all combinations
10+12 is greater than 15
10+15 is greater than 12
15 +12 is greater than 10
Find the area of the regular hexagon if the radius of a circle inscribed in the hexagon is 10√3
meters.
Answer:
D. 600√3Step-by-step explanation:
Refer to your previous question:
https://brainly.com/question/22624022Radius of the inscribed circle is the apothem of the hexagon.
Apothem (a) and half of the side (s) make a 30-60-90 right triangle.
The ratio of the legs, as per property of 30-60-90 triangle:
s : a = 1 : √3 ⇒ s : 10√3 = 1 : √3 ⇒ s = 10Half the side is s = 10 units, then side of the hexagon is 20 units.
The area of the hexagon:
A = 1/2Pa, P- perimeter, a- apothem A = 1/2(6*20)*(10√3) = 600√3Correct choice is D
Find the value of x and each arc measure
Answer:
x = 11
m(arc)MN = 65
m(arc)NP = 115
m(arc)NQP = 245
Step-by-step explanation:
10x - 45 = 6x - 1
4x = 44
x = 11
m(arc)MN = 10x - 45 = 10(11) - 45 = 110 - 45 = 65
m(arc)NP = 180 - 65 = 115
m(arc)NQP = 360 - 115 = 245
If the second term of a geometric sequence is 4 and the third term is –12, find the
explicit formula.
an= 3•(4/3) n-1
an =-4/3•(-3)n-1
an=-3•(-4/3) n-1
an = 4/3 •(3)n-1
Answer:
[tex]\bold{a_n=-\frac43\cdot(-3)^{n-1}}[/tex]
Step-by-step explanation:
The formula of a geometric sequence: aₙ = a₁ rⁿ⁻¹
[tex]a_2=4\\a_3=-12\\r=\frac{a_{n+1}}{a_{n}}=\frac{-12}{4}=-3[/tex]
[tex]a_1=a_1\div r=4:(-3)=-\frac43\\\\a_n=-\frac43\cdot(-3)^{n-1}[/tex]
what is two plus two
Answer:
4
Step-by-step explanation:
Dude, that's easy!
Hope I helped! Brainiest plz! Have a nice day!♥ Hope you make a 100% -Amelia
please answer them and attach a picture explaining them! Thank you so so much! Please add this is for number 1 this is for number 2 and 3
Na atmosfera,a temperatura diminui cerca de1 grau a cada 200 m de afastamento da superficie terrestre.Se a temperatura na superficie e de +20c,qual sera a temperatura na atmosfera a uma altura de 10 km a] +30c b] +20c c] _20c d] _30c
Responder:
- 30 ° C
Explicação passo a passo:
Dado que :
A temperatura diminui 1 ° para cada 200 m afastados da superfície terrestre
Temperatura na superfície da terra = 20 ° C
Temperatura atmosférica a uma altura de 10 km de. Superfície Terrestre :
Queda de temperatura para uma altura de 10 km de distância;
10km = 10 * 1000 = 10.000 m
1 * (10000/200)
1 * 50
= 50 ° C
Portanto ;
Temperatura da superfície terrestre - 50 ° C
20 ° C - 50 ° C
= - 30 ° C
Kayla has 18 bottles of bubbles. She wants to give 2 bottles to each of her 6 friends. How many bottles will she have left over? What expression will solve the problem
Answer:
6
Step-by-step explanation:
You started with 18 and you multiply 6×2 and you get 12 able your answer is 6 I believe. sorry if I'm wrong
Answer:
6 bottles left
Step-by-step explanation: You have 18 bottles in total so 2x6 is 12. 18-12 is 6.
Expression: 2x6-18
This distance between New York and DC is 226 miles. If you're looking at a map that has a scale of ½ inch equals 25 miles, how far apart would the two cities be on the map?
Answer:
4.52 inches
Step-by-step explanation:
Hope this help:) 5 star please:))))
Judy has 100 pencils stored in boxes. If there are 20 boxes, how many pencils must go in each box?
Answer:
5 pencils per box
Step-by-step explanation:
what is the answer to The value of y is directly proportional to the value of X. If y=55, when X=120, what is the value of y when X=60?
Answer:
27.5
Step-by-step explanation:
y = kx
55 = 120k
k = 55/120
y = 55/120 x 60
y = 55/2
y = 27.5
A square has an area of x square units. X is a whole number that is a perfect square. What set of numbers best describes the length of the side of the square?
Answer:
when the area is whole number it's length and width should be the set of whole number
Darren bends a piece of wire using a circular disc to make the
shape as shown.
A. How long does the piece of wire need to be
to make the shape? Explain.
22 cm
100 cm
B. Construct Arguments What information do
you think is needed to find part of the
circumference of a circle? Justify your answer.
Answer: the wire is 134.54 because you add 100 and the other part of the wire which is 34.54. You find this by finding a quarter of the circumference. The center of the circle is needed to find part of the circumference.
The piece of wire that needs to be to make the shaped wire is 134.54.
We have given that,
Darren bends a piece of wire using a circular disc to make the
shape as shown.
We have to determine what information is needed to find part of the circumference of a circle
What is the circumference of a circle?
The circumference is the perimeter of a circle or ellipse. That is, the circumference would be the arc length of the circle as if it were opened up and straightened out to a line segment. More generally, the perimeter is the curve length around any closed figure.
The wire is 134.54
because you add 100 and the other part of the wire is 34.54.
You find this by finding a quarter of the circumference.
The center of the circle is needed to find part of the circumference.
The piece of wire that needs to be to make the shaped wire is 134.54.
To learn more about the shape visit:
https://brainly.com/question/25965491
#SPJ2
the perimeter of a rectangle is 24cm. If the length is 7cm, find the width.
Answer:
perimeter of rectangle=2(l+b)
24cm = 2(7cm+w)
24cm =14cm+2w
24cm - 14cm = 2w
10cm=2w
10cm/2=w
5cm=width.
Answer:
the perimeter of a rectangle = 2(l+b)
length = 7cm
2(7+b) = 24
7+b = 24/2 = 12
b=12-7 = 5
width = 5cm
hope this answer helps you...
Using a deck of 52 standard playing cards, find the probability for P(Clubs or Spades).
Select the correct response:
1
4
1
3
1
2
1
13
Answer:
third choice 1/2
Step-by-step explanation:
A deck of standard playing cards consists of clubs, diamonds, hearts, & spades. So clubs and spades together represent half the deck.
So 26 in 52 chance of one of either. Simplified...
1/2
Type the correct answer in the box.
Step-by-step explanation:
4 triangles bh/2=area
2 x 2/2 = 2
2 x 4triangles = 8 units
two rectangles bh=area
2 x 6 = 12
12 x 2rectangles = 24 units
last rectangle is bh
6 x 8 = 48 untis
24+48+8=80 units
How many seconds will it take for the penny to hit the ground?
Answer:
1 second
Step-by-step explanation:
[tex]-16t^2+16=0\\-16t^2=-16\\t^2=1\\t=1[/tex]
Mr. Rodriguez had his students line up in order from shortest to tallest. Tia was exactly in the middle of all the students. Which measure of center would describe her height?
Answer:
Median
Step-by-step explanation:
The median value of a distribution is obtained by :
FIRSTLY : Arranging the data in order usually ascending order.
Then the 50th percentile of the data is determined , the value which falls in the 50th percentile is the median of the distribution. The 50th percentile is the exact mid value of the distribution.
This describes the exact same way Tia was chosen in the scenario described above. Hence the measure of the center described is the Median.
Wallace bought 4 gallons of milk last week because his family drinks a lot of milk. If
his family drinks 3 quarts of milk every day, how many days will it take for them to
finish all 4 gallons?
Help now please
Answer:
5 days
Step-by-step explanation:
There are 16 quarts in 4 gallons of milk, so if they drink 3 quarts every day just divide 16 by 3 which will give you 5.3 but rounding your answer is 5 days.
I hope this helps!!
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ASAP PLS
Sally is planning on the school picnic and needs to decide what food vendor to use. She asks 250 students whether they would rather have a taco truck or a fruit smoothie cart the results of the survey are shown in the table.
What is the relative frequency of eighth grades who want fruit smoothies?
Answer:
C.
Step-by-step explanation:
That's all I know
Answer:
It's D .18
Step-by-step explanation:
45 eight graders of 250 surveyed want fruit smoothies
45/250 = .18
HELP Whatisthedifferencebetweenthe4.1%simpleinterestpaidon$2,750for4yearsandthe3.8% interest compounded annually on the same amount over the same period of time? Show your work.
Answer: Simple interest amount larger by $9.00
Step-by-step explanation:
Simple interest of 4.1% on $2,750 for 4 years:
Formula for simple interest is:
= Amount * (1 + rate * no. of periods)
= 2,750 * ( 1 + 4.1% * 4)
= 2,750 * 1.164
= $3,201
Compound interest of 3.8% on $2,750 for 4 years:
= Amount * (1 + rate) ^ no. of periods
= 2,750 * ( 1 + 3.8%)⁴
= $3,192
Difference:
= 3,201 - 3,192
= $9.00
Photos shown below :)
Answer:
choose the second one
Step-by-step explanation:
n - 6 > -4 or 2n - 9 < -13
Answer:
the answer is
N>2 or N<-2
Step-by-step explanation:
Answer:
This is the answer N>2 or N<-2