The arithmetic mean of three consecutive even integers is 20. Which equation could be used to find the integers? A) x(x + 2)(x + 4) = 20 B) x + 2x + 4x 3 = 20 C) x(x + 2)(x + 4) 3 = 20 D) x + (x + 2) + ( x + 4) ] = 20 E) x + (x + 2) + ( x + 4) 3 = 20
Given:
The arithmetic mean of three consecutive even integers is 20.
To find:
The equation that can be used to find the integers.
Solution:
Let the three consecutive even integers are x, x+2 and x+4.
We know that,
[tex]\tex{Mean}=\dfrac{\text{Sum of observations}}{\text{Number of observations}}[/tex]
The arithmetic mean of three consecutive even integers is:
[tex]\tex{Mean}=\dfrac{x+(x+2)+(x+4)}{3}[/tex]
It is given that, mean = 20. So,
[tex]\dfrac{x+(x+2)+(x+4)}{3}=20[/tex]
Therefore, the correct option is E.
HELP GIVING OUT BRAINLIEST WHOEVER'S FIRST!!!!
Answer:
30
Step-by-step explanation:
2x^3+3y-4
2(2)^3+3(6)-4
2(8)+18-4
16+18-4
30
2(8)+3(6)-4
16+18-4
30
What is the dollar value of 10 pennies and 9 nickels? What is the dollar value
of p pennies and n nickels?
What on that be $1
Step-by-step explanation:
because when you add 10 pennies and 9 nickel it will give you one dollars hope it helps ♥️♥️♥️
Answer: dollar value is 55 cents
Step-by-step explanation: Common Sense
What is the measure of ∠RQS ?
What is the measure of ∠RQT ?
What is the measure of ∠RQV ?
What is the measure of ∠UQV ?
Answer:
∠RQS = 19°
∠RQT = 90°
∠RQV = 161°
∠UQV = 91°
Step-by-step explanation:
To get ∠RQV, you know that the line is equal to 180°, so subtract 19° from it:
∠RQV = 180 - 19
∠RQV = 161°
To get ∠UQV, you know that the line is equal to 180°, so subtract 71° and 18° from it:
∠UQV = 180 - 71 - 18
∠UQV = 91°
Hope this helps!
HURRY!!!!
The value of a baseball card can be represented by the equation y = 3 x + 39, where x represents the number of years that Robert has owned the card and y represents the total value, in dollars, of the card. What was the value of the card when Robert originally purchased it?
$3
$13
$36
$39
Answer:
mark as brainliest plz... it is $39
Step-by-step explanation:
ayeeeeeeeeeeeeeee
Choose the equations that are not linear equations.
A. x/2-y^3=1
B. -x-y=2
C. x=5
D. x^2+y=4
Answer:
hello I'm getting free points
Given A(2,14), B(2,3), C(4,2) and D(14,2) what about AB?
A school has $15,000 to spend on computer monitors. The school plans to purchase 200 monitors for $89 each. A teacher completes the calculations below and concludes that the school has enough money to buy the monitors. 200 × 89 = (200 × 8) + (200 × 9) = 1,600 + 1,800 = 3,400
Answer:
Since the budget of the school is $15,000, the school does not have enough money to buy the monitors
Step-by-step explanation:
The school plans to purchase 200 monitors for $89 each.
This is the calculation of the teacher
200 × 89 = (200 × 8) + (200 × 9) = 1,600 + 1,800 = 3,400
The teacher's calculation is wrong
The correct calculation using Distributive property is
a(b + c) = ab + ac
200 × 89 = 200(80) + 200(9)
Because 80 + 9 = 89
Hence,
200 × $89 = 16000 + 1800
= $17,800
Since the budget of the school is $15,000, the school does not have enough money to buy the monitors
$17, 800 ≠ $15,000
Which equation represents a line that passes through the 2 points in the table
Answer:
A
Step-by-step explanation:
I took the test
Find the value of y given the value of x for y = 3 -4.3x when x = -3
Answer:
y = 15.9
Step-by-step explanation:
y = 3 - 4.3x
y = 3 - 4.3(-3)
y = 3 + 12.9
y = 15.9
Answer:
Step-by-step explanation:
y=3-4.3x
y=3-(4.3*3)
y=3-12.9
y=-9.9
Find the equation of the line that is parallel to the given line and passes through the given point. y=-5x+7;(7,0)
Answer:
y = -5x + 35.
Step-by-step explanation:
y = -5x + 7
The slope for that y = -5x+7 is -5. Parallel lines have the same slopes which means the line parallel to that one will also have a slope of -5.
So now let's use the slope intercept form to create the equation that is parallel to the above equation.
y = mx + b
Since slope (m) is -5, we can plug it into the equation.
y = -5x + b
Now let's use the point (7,0) to find the y-intercept (b). We can do that by plugging the numbers in (7 for x and 0 for y).
y = -5x + b
0 = -5(7) + b
0 = -35 + b
b = 35
Now let's plug the y-intercept back into the equation.
y = -5x + 35
Therefore, the equation is y = -5x + 35.
Hope this helped! If not, please let me know! <3
Professor Florido is studying a new hybrid watermelon. She knows that a watermelon seed has probability 0.88 of germinating. She decides to plant 5 seeds. (a) What is the probability that exactly 2 seeds will germinate? ( Round to 4 decimals) (b) What is the probability that at most 3 seeds will germinate? ( Round to 4 decimals)
Do you like online classes?
Answer:
no its stupid
Step-by-step explanation:
i wanna go back to school
I really need help with this
Answer:
Did this help??
Step-by-step explanation:
a.) 5x = m
5x = you and four friends.
m = money for food
b.) Plug in
5(5.25) = m
26.25 = m
What is an unsecured line of credit? A. A line of credit which does not require collateral. B. A line of credit with a variable interest rate. C. A line of credit offered by an institution other than a bank, such as a department store. D. A line of credit offered to an individual with no credit history.
Answer:
A
Step-by-step explanation:
Answer:
a.
A line of credit which does not require collateral.
Step-by-step explanation:
There are two classrooms available for the upcoming debate tournament. Room A has a capacity of 28 and room B has a capacity of 35. If
there are 253 students participating in the tournament write an inequality to represent how many possible sessions there would have to
be, given that both rooms could be used at once? Let a represent room A and b represent room B.
Answer:
first one
Step-by-step explanation:
4 The scale drawing represents the aerial view of a building. The actual building has
a perimeter of 48 m. Draw another scale drawing of the building using the scale
2 m to 1 unit length from the building to the drawing,
Answer:
Step-by-step explanation:
A hot air balloon ascended at the rate of
400 feet per hour for 3 hours and 15
minutes. What was the total distance that
the balloon ascended?
Answer: the answer is 1300 hope this helps you
Step-by-step explanation:
Describe the transformation
A) translation 2 units down
B) reflection across y=-1
C) reflection across the x-axis
D) across the y-axis
Answer:
Reflection across the x-axis
Step-by-step explanation:
1. ROTATE THE TRIANGLE A(3, 2) B(5,2)C(4,4) 90 DEGREES ABOUT POINT (-4, 2)
(20 Points)
A(-4, 9) B(2, 3) C(5,7)
A(3, 1) B(3, 3) C(7.9)
A(-4, 9) B(-4, 11) C(-6, 10)
Answer:
A (-4,9) B (-4,11) C (-6,10)
Last option is correct
Step-by-step explanation:
To rotate the vertices about the given point at 90 degrees, we follow the procedures below;
Mathematically, if we have a point (m,n) and we want to rotate it 90 degrees about a given point (x,y). Then the new transformation point will be;
( -(n-y) + x , (m-x) + y)
Let’s now take the points individually;
(3,2 ) about (-4,2)
This becomes
(-(2-2) + (-4), (3+4) + 2) = (-4 , 9)
The point (5,2) about (-4,2) becomes
(-(2-2) + -4, (5 + 4) + 2 )= (-4, 11)
and lastly
The point (4,4) about (-4,2) becomes
(-(4-2) + (-4), (4 + 4) + 2) = (-6, 10)
Please help me with this problem
Answer: D) [tex]m \angle 2 = m\angle 5[/tex]
================================================
Explanation:
Let's go through the answer choices to see what's true and what's false.
A) This is true because they are corresponding angles. Corresponding angles are congruent when we have parallel lines.B) This is true as well. The reasoning is the same as choice A.C) These angles are vertical, so they are congruent angles. This is true.D) This is false. The angles are supplementary. They would only be congruent if both angles were 90 degrees; otherwise, they aren't congruent.A puppy named Boots started out at 4 pounds and gained 3 pounds every month. At how
many months did Boots weigh 25 pounds?
Answer: 7 months
Step-by-step explanation:
He started at 4 pounds so if he grew 3 pounds every month, it would take 7 months to grow 21 pounds. 21 pounds plus 4 pounds is 25 pounds.
Answer:
7 months
Step-by-step explanation:
3 times 7 is 21 than you add the original 4 and get 25 so therefore the answer is 7 months
A pack of gum costs $2.95. If it holds 12 sticks of gum, about how much would one individual stick of gum cost?
A $0.05
$4.00
$0.40
D $0.25
E $3.60
Answer:
$0. 25
Step-by-step explanation:
2. 95 ÷ 12 = 0.24583333
Round the number and you would get
0. 25
Answer:
D. $0.25
Step-by-step explanation:
the whole pack costs $2.95 and there are 12 sticks, so you divide the total cost ($2.95) by the amount of sticks (12) and get the answer $0.2458, or $0.25 rounded up. :)
ANSWER FAST What is an equation of the line that passes through the point (1,3) and is perpendicular to the line x+3y=9?
y = 3x + 0 is the answer I believe.
40/12 to a mixed fraction ?
Answer:
3 1/3
Step-by-step explanation:
40/12
12*3 = 36
40-36 = 4 so there is 4 left over which goes over the denominator
3 4/12
Simplify
3 1/3
Simplify the expression.
7/4÷(3/2)
7/4 ÷ (3/2)
=7/4 × (2/3)
=(7×2)/(4×3)
=14/12
=(14÷2)/(12÷2)
=7/6
=1 1/6
i feel bad for asking a longer question but i'm really in need of help to finish my test review its a big grade and i'm struggling on this problem
solve for x
(3/x-c)=(4/x-d)
9514 1404 393
Answer:
x = 4c-3d
Step-by-step explanation:
Cross multiply, separate variables terms and constant terms.
[tex]3(x-d)=4(x-c)\\\\3x-3d=4x-4c\\\\4c-3d=x\qquad\text{add $4c-3x$}\\\\\boxed{x=4c-3d}[/tex]
What’s 4 divided by 3.3
Answer:
it is 1.21repeated hope this helps
A sweater us on sale for $16, which is 80% of the original price. What is the original price of the sweater?
Answer:
$28.80
Step-by-step explanation:
16 times 0.8 = 12.8 + 16 = 28.80