Answer:
6x - Goes both into 18x^2 and 6x evenly.
the sum of three consecutive even numbers is 114. what is the smallest of the three numbers?
Answer:
36
Step-by-step explanation:
Let's let n be any number.
If we multiply n by 2, we get 2n. Since anything multiplied by 2 is even, 2n must be even. Therefore, let 2n be our first number.
So, the consecutive even number will be (2n+2) followed by (2n+4).
We know that their sum must be 114. Therefore, we can write the following equation:
[tex](2n)+(2n+2)+(2n+4)=114[/tex]
Solve for n. Combine like terms on the left:
[tex]6n+6=114[/tex]
Subtract 6 from both sides:
[tex]6n=108[/tex]
Finally, divide both sides by 6. Therefore, the value of n is:
[tex]n=108/6=18[/tex]
Therefore, our first even number is 2n or 2(18) which equates to 36.
And the consecutive even numbers will be 38 and 40.
So, the smallest of them, the first term, is 36.
Let the three consecutive even numbers be x, x + 2 and x + 4 .
[tex] \longrightarrow \rm x + x + 2 + x + 4 = 114[/tex]
[tex] \longrightarrow \rm 3x + 6 = 114[/tex]
[tex] \longrightarrow \rm 3x = 108[/tex]
[tex] \longrightarrow \bf x = 36[/tex]
Smallest number = 36
Simplify
9/17 - 8/17
A 9/17. B 1. C 0. D 17/34
What is the distance between the points (-3, 1) and (1, 3)?
Answer:
4.47
Step-by-step explanation:
a^2+b^2=c^2
2^2+4^2=c^2
4+16=c^2
20=C^2
[tex]\sqrt{20}[/tex]= [tex]\sqrt{c^2}[/tex]
4.47=c
A family wants to rent a surf board and two sets of snorkel gear for 24 hours. What is their total cost?
I am assuming snorkel gear is just that 3rd row
Answer:
$756
Step-by-step explanation:
A surfboard costs $310 for 12 hours. Doubled you have 620 for 24 hours.
Each set of snorkel gear costs $34 for 12 hours
34 times four is 136 for two sets for 24 hours.
136 + 620 = 756
Simplify the expression to a + bi form:
(-10 + 8i) - (-4 - 4i)
Answer:
i = 1/2 Or 0.5
Step-by-step explanation:
-10 + 8i + 4 + 4i = 12i - 6
12i = 6
i = 1/2 Or 0.5
Three more than twice the sum of a number and half the number equals 105. Which equation models this relationship?
Answer:
The correct answer is A or 2(x+1/2x)=105
Step-by-step explanation:
3+2(x+1/2x)=105
A baseball team won 20 games and lost 10 games. What percent of the games did the team win?
A. 333%
B. 50%
C.663%
D.200%
Answer:
c
Step-by-step explanation:
Option 1
Option 2
Option 3
Option 4
Which one is correct?
29. Find the measure of each angle.
E
с
(5x + 2)
3x
B
Answer:
The measure of each angle is :
3x° = 33°
(5x+2)° =57°
Step-by-step explanation:
From the diagram, angle <ABC is a right-angle triangle with a measure of 90°
This means the sum of the two angles <ABE + <CBE =90°
Given from the question :
<ABE = 3x°
<CBE = (5x+2)°
For an equation for sum of the two angles as;
<ABE + <CBE =90°
3x° + (5x+2)° = 90° ------collect like terms after opening the brackets
3x° +5x° + 2° =90°
8x°=90°-2°
8x°=88°
x°=88°/8° = 11°
Measure of the angles will be:
<ABE = 3x° = 3*11° = 33°
<CBE = (5x+2)° = (5*11° +2° ) =55°+2°= 57°
Answers are :
3x° = 33°
(5x+2)° =57°
There are 3 consecutive integers that have a sum of 36. What are the integers?
Answer:
11, 12, 13Step-by-step explanation:
The consecutive integers are increasing by 1
k ← the smallest integer
k+1 ← the middle integer
k+1+1 = k+2 ← the largest integer
k + k+1 + k+2 = 36
3k + 3 = 36
÷3 ÷3
k + 1 = 12
-1 -1
k = 11
k+1 = 11 + 1 = 12
k+2 = 11 + 2 = 13
20=-7+1/2x what are the values
Answer:
X = 54
Step-by-step explanation:
20=-7 + 1/2x
+7 +7.
27 = 1/2x
*2 *2
x = 54
What is the missing table value?
4 inches to centimeters
A 2-column table with 4 rows. Column 1 is labeled inches with entries 1, 2, 3, 4. Column 2 is labeled centimeters with entries 2.54, 5.08, 7.62, question mark.
Answer:
10.16
Step-by-step explanation:
Answer:
10.16
Step-by-step explanation:
I got it right on edg 2020 (:
PART 1 40 points+brainless
i need help with these 5 questions
1) 1/243 (Fraction)
2) Equal to 1
3) 1/x^7 (1 over x, x to the power of 7)
4) 4
5) Equal to 1
Hope I helped
Soft 2 1/3 - 3/4 equals
Answer:
1 7/12
Step-by-step explanation:
Answer:
19/12 or 1 7/12
Step-by-step explanation:
Which of the following shows the correct steps to find the value of 27 to the power of 1 over 3 ? (1 point) 27 to the power of 1 over 3 equals 9 to the power of 3 to the power of 1 over 3 equals 9 to the power of 3 multiplied by 1 over 3 equals 9 27 to the power of 1 over 3 equals 3 to the power of 9 to the power of 1 over 3 equals 3 to the power of 9 multiplied by 1 over 3 equals 3 27 to the power of 1 over 3 equals 3 to the power of 4 to the power of 1 over 2 equals 3 to the power of 4 multiplied by 1 over 2 equals 9 27 to the power of 1 over 3 equals 3 to the power of 3 to the power of 1 over 3 equals 3 to the power of 3 multiplied by 1 over 3 equals 3
Step-by-step explanation:
27^1/3
=(3^3)^1/3
=(3^3)×1/3
=3, so your final answer is D.)27 to the power of 1 over 3 equals 3 to the power of 3 to the power of 1 over 3 equals 3 to the power of 3 multiplied by 1 over 3 equals 3
Or
27^1/3=?
To find the answer, I will use one formula from Laws of Exponent
a^p/q
=q√a^p
Apply the same steps to 27^1/3
27^1/3
=³√27¹
=³√27
=3. Hope it help!
Answer:
27 to the power of 1 over 3 equals 3 to the power of 3 to the power of 1 over 3 equals 3 to the power of 3 multiplied by 1 over 3 equals 3Step-by-step explanation:
Use of formula: (a^b)^c = a^(bc)Solution
27^(1/3) =(3^3)^(1/3) =3^(3*1/3) =3This is matching the last answer option
27 to the power of 1 over 3 equals 3 to the power of 3 to the power of 1 over 3 equals 3 to the power of 3 multiplied by 1 over 3 equals 3HELP THiS IS DUE In 30 MINUTES
Answer:
undefined
Step-by-step explanation:
The x coordinate of the two points are the same, while the y values are different. This means that the line is vertical. A vertical line does not have a defined slope, because the change in y divided by the change in x is dividing by zero. Therefore, the answer is "undefined"
Answer:
The slope of the line is undefined.
Step-by-step explanation:
Using the point slope formula, in the end, you will get -7 over 0. Since a zero is in the bottom, the slope is considered undefined.
8-(x+2) = 6(x-4) what is the answer is 6 or something else
Answer:
x=30/7 or decimal x=4.28571
Step-by-step explanation:
The perimeter of the polygon below is___
units.
A cookie recipe calls for 4.5 cups of flour, makes 3 dozen cookies. How much flour is needed to make 6 dozen cookies?
Group of answer choices
Answer:
9 cups
Step-by-step explanation:
3 dozen of cookies : 4,5 cups
6 dozen : more
6
--- × 4,5 = 9 cups
3
A bucket of water is 1/2 full but it still has 3 4/6 gallons of water in it how much water do you need to fill the bucket
Answer:
7 1/3 gallons
Step-by-step explanation:
If the bucket is half full and still has half to go, you double the current contents of the bucket. 3 4/6 times 2 is equal to 7 2/6 gallons which simplifies to 7 1/3 gallons.
I don't fully understand your question though, if the question is asking how much MORE water is needed to fill the bucket, it's 3 2/3 gallons. If it's asking how much water in TOTAL it would take to fill the bucket completely, it's 7 1/3 gallons.
The weights of certain candles are normally distributed with a mean of 720mg and a standard deviation of 20mg. What proportion of candles weigh between 695mg and 734mg?
Answer:
ufoufoydiyd8yf86fiyxitdkydyofiyd8yfoyfoycoycoycoycoyfiyfiyfyocyiciycigxitc8txitditxt8xtix8tx8td8yd8yc8yyc8yf58d8txt7x85d85duts7td8txits
Step-by-step explanation:
yfid8yydyofoyf0
True or false. The solution to an equation in two variables such as y = 3x - 9 is the value of x that makes the equation true.
ok wait i think you are in my math class lol... this is on my quiz i just took
−px+r=−8x−2 solve for x
Plx I need this ASAP
Answer:
x=[tex]\frac{2+r}{p-8\\}[/tex]
Step-by-step explanation:
Which equation has the same solution as 10x-x+5=4110 x − x + 5 = 41?
Answer:
d
Step-by-step explanation:
The equation having same solution as linear equation 10x -x + 5 =41 is equation: 9x +5 = 41
What is an linear equation in one variable?Linear equation is an equation containing one unknown variable with power one and constants.
The standard form of an linear equation in one variable x is :
ax + b = 0 , where a, b are constants
x= -b/ a is solution if this equation or we can solve this equation by adding or subtracting, multiplying, dividing same number to both sides.
Given equation 10x -x + 5 =41
⇒ (10-1) x = 41-5
⇒9x = 36
⇒ x= 36/9 = 4
From given options :
1. 10x + 5 =41⇒ 10x = 36 ⇒ x = 36/10 = 3.6
2. 10x - 5 +x = 41 ⇒ 11x = 41+5⇒ 11x = 46 ⇒ x = 46/11
3. 9x = 46 ⇒ x = 46/9
4. 9x +5 = 41⇒ 9x = 41-5 = 36 ⇒ 9x = 36 ⇒ x = 36/9 = 4
Therefore, the equation 9x +5 = 41 has same solution x= 4 as the given solution.
Also, learn more about linear equation from the link below:
https://brainly.com/question/24145091
#SPJ2
each morning darnell does a combination of aerobics and stretching exercises. the exercises burn different amounts of calories per minute. the following system represents the time darnell exercises and the amount of calories burned. in the system, x represents the number of minutes darnell spends doing aerobics and y represents the number of minutes he spends stretching
x+y=60
15x+5y=500
Answer:
x=34
Step-by-step explanation:
Answer to get points.
Answer:
I think it's B ////////////
Determine if the following equation has "One Solution", "No Solutions", or "Infinite Many Solutions".
2 (x + 3) = 6 + 2x
O One Solution
O No Solutions
Infinite Many Solutions
Which of the following figures has 90 rotation symmetry?
a oval
b triangle
c circle
d rectangle
Which function defines the sequence 6, 8, 10? *
Answer: add 2
Step-by-step explanation:
A box of chocolate includes 24 chocolate pieces. If 1/4 of the chocolates contains nuts, how many chocolates do not contain nuts?
Answer:
18
Step-by-step explanation:
24 * 1/4 = 6
24-6 = 18