160 and 162 and 164
Step-by-step explanation:
To find the three even integers, use the equation
x + (x + 2) + (x + 4) = 486
Then solve:
Add the common terms (the xs and numbers)
3x + 6 = 486
Subtract the 6 from both sides
3x = 480
Then divide
x = 160
So 160 + (160 + 2) + (160 + 4) = 486
160 + 162 + 164 = 486
So your three consecutive even integers are
(03.01) Which of the following is a factor of x2 − 6x − 27? (1 point) Select one: a. x + 3 b. x + 9 c. x − 1 d. None of the above
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[tex]\pink{\bigstar}[/tex] The factor of given expression is [tex]\large\leadsto\boxed{\tt\purple{Option.a \rightarrow (x+3)}}[/tex]
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
• Given:-✯ x² - 6x - 27
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
• Solution:-⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
• Splitting the middle term:-
➪ x² - 9x + 3x - 27
➪ x(x - 9) + 3(x - 9)
★ (x -9) (x +3)
Therefore, the factors of the given expression are (x - 9) and (x +3).
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
Hence, Option A. i.e (x + 3) is the correct choice.
Answer:
[tex] {x}^{2} - 6x - 27 \\ factorise \\ {x}^{2} - 9x + 3x - 27 \\ = take \: x \: from \: first \: two \: terms \\ and \: 3from \: last \: two \: terms \\ then \\ x(x - 9) + 3(x - 9) \\ here(x - 9)is \: commen \\ so(x - 9)(x + 3) \\ (1)is \: ur \: answer \: it \: is \: x + 3 \\ thank \: you[/tex]
8. There were 512 people at the Talent Show,
Admission was $1.25 for adults and 50
for children. The receipts were $406.75.
How many of each attended?
Answer:
7.9 of each
Step-by-step explanation:
A production process is known to produce a particular item in such a way that 5 percent of these are defective. If two items are randomly selected as they come off the production line, what is the probability that both are defective (assuming that they are independent)
Answer:
0.0025 = 0.25% probability that both are defective
Step-by-step explanation:
For each item, there are only two possible outcomes. Either they are defective, or they are not. Items are independent of each other. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
5 percent of these are defective.
This means that [tex]p = 0.05[/tex]
If two items are randomly selected as they come off the production line, what is the probability that both are defective
This is P(X = 2) when n = 2. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 2) = C_{2,2}.(0.05)^{2}.(0.95)^{0} = 0.0025[/tex]
0.0025 = 0.25% probability that both are defective
Plz guys can you guys help me
Answer:
answer B is correct of this question
Answer:I believe the answer is C my dude
Step-by-step explanation:
Will mark brainliest!!!
Solve for x
Answer:
2
Step-by-step explanation:
Find the area of the following shape:
Answer:
63 in^2
Step-by-step explanation:
Area = base x height
Base: 7
Height: 9
9 x 7 = 63
Answer:
63 inches squared or [tex]63in^{2}[/tex]
Step-by-step explanation:
The answer is 63 inches squared.
The area of a parallelogram is always base times height.
In this case, the base is seven and the height is nine.
To find the area, we must multiply nine by seven
We get 63
But, we are multiplying inches and inches together
When we multiply something by itself, it becomes squared
Since we are multiplying inches by inches, it becomes inches squared
Therefore, the area of the shape is 63 inches squared, or
[tex]63in^2[/tex]
Please help me on this question 30 points on the line
Answer:
4(x-3) = 8
Step-by-step explanation:
4 times the difference would be 4(x-y), and we already know what y is, which is 3. Finally, the "is 8" means "equals 8" giving us our equation: 4(x-3) = 8.
Answer:
4(x-3) = 8
Step-by-step explanation:
HELPPPPP GUYS I NEED IT AND IM NOT GOOD AT MATH!!
Answer:
-21
Step-by-step explanation:
Answer:
Option b-21
As coefficient is the number before variables
and here the number before is -21
A test is worth 60 points. Multiple-choice questions are worth 2 points, and
short-answer questions are worth 5 points. If the test has 15 questions, how
many multiple-choice questions are there?
O A. The number of multiple-choice questions minus the number of
short-answer questions is 60.
OB. The number of multiple-choice questions times the number of
short-answer questions is 15.
C. The number of multiple-choice questions plus the number of
short-answer questions is 15.
D. The number of multiple-choice questions plus the number of
short-answer questions is 60
Answer:
C. The number of multiple-choice questions plus the number of
short-answer questions is 15.
Step-by-step explanation:
This question can be solved using a system of equations.
I am going to say that:
x is the number of multiple-choice questions
y is the number of short-answer questions.
Multiple-choice questions are worth 2 points, and short-answer questions are worth 5 points.
This means that:
[tex]2x + 5y = 60[/tex]
The test has 15 questions.
This means that:
[tex]x + y = 15[/tex].
Which means that option C is the correct answer.
Answer:
C. The number of multiple-choice questions plus the number of short-answer questions is 15.
Step-by-step explanation:
x + y = 15
help help meeee!!!!!
Answer:
The correct answer will be $725
Answer:I believe it is $725
Step-by-step explanation: 12.50(1+0.16)
= 14.5 then 14.5 times 50 = 725
Katia has 7 chairs she wants to paint. If it takes 2/3 can of spray
paint to paint a chair, how many cans of spray paint does Katia
need?
Answer:
4 2/3
Step-by-step explanation: You would do 7 × 2/3, but you cannot do that so you have to make the 7, 7/1 and than it is 7/1 × 2/37/1 × 2/3 =First step: Multiply the top: 7 × 2 = 14Second step: Multiply bottom: 1 × 3 = 3Answer: 14/3 and than you simplify to 4 2/3PLEASE HELP i have to turn this at the end of the day! PLEASE DONT GUESS! :)
Answer:
x = 13, z = 184
Step-by-step explanation:
(14x-94) = 88
14x = 182
x = 13
z = 360 - 88*2 = 360 - 176 = 184
Answer:
x = 13; z = 92
Step-by-step explanation:
88 = 14x - 94
14x = 182
x = 13
180 = z + 88
z = 92
Look at the picture
9514 1404 393
Answer:
A
Step-by-step explanation:
When angles are between the parallel lines, they are called interior. If they are both on the same side of the transversal, they are "same-side interior."
If angles are on opposite sides of the transversal, they are exterior.
If angles are in the same direction from the intersection point, they are corresponding.
Angles in opposite directions from the point of intersection are vertical angles.
same-side interior: {3, 5} and {4, 6}. (supplementary)
same-side exterior: {1, 7} and {2, 8}. (supplementary)
alternate interior: {3, 6} and {4, 5}. (congruent)
alternate exterior: {1, 8} and {2, 7}. (congruent)
corresponding: {1, 5}, {2, 6}, {3, 7}, {4, 8}. (congruent)
vertical: {1, 4}, {2, 3}, {5, 8}, {6, 7}. (congruent)
Angles 6 and 4 are same-side interior angles; their sum is 180°.
Sam earned $154 washing 7 cars. He earned the same amount for washing each car
Select all the equations that show reasonable estimates for the amount Sam eamed washing each car
A $140 = 7 = $20
B. $190 = 9 = $10
C. $160 = 8=320
D. $150 = 5= $10
E $150 = 3= $50
Answer:
the answer is A cause you divide 7 by 140 and the answer is 22 so 20 is the closest
Xavier opened a savings account with a deposit of $12,000.
The account earned simple interest.
He did not make any additional deposits or withdrawals.
At the end of 3 years, the account balance was $12,324.
What is the annual interest rate on this account?
0.9%
1.8%
2.7%
3.6%
Answer:
the answer is 236.25
Step-by-step explanation:
The interest rate on annual basis on the given account should be considered as 0.9%.
Calculation of the annual interest rate:
Here the interest amount be
= Future value - principal
= $12,324 - $12,000
= $324
Now the interest rate be like
Interest = Principal * rate * time period
$324 = $12,000 * rate * 3/ 100
So, the rate be 0.9%.
Hence, The interest rate on annual basis on the given account should be considered as 0.9%.
Learn more about interest rate here: https://brainly.com/question/14191952
HELP NOW !! The gravitational force that an object of mass m, has with another object of mass , can be found using the formula
F=G
F = the magnitude of the gravitational force between the two objects
G= the gravitational constant
m = the mass of the first object
me the mass of the second object
-= the distance between the two objects
Draga term to each box to show the gravitational force equation when solving for me.
Gm
Fm
ma
G
Answer:
M₁=Fr²/GM₂
Step-by-step explanation:
The original formula is
F = GM₁M₂/r²
Rearrange it so M₁ is isolated:
Fr²=GM₁M₂
M₁=Fr²/GM₂
A teacher believes that the third homework assignment is a key predictor in how well students will do on the midterm. Let x represent the third homework score and y the midterm exam score. A random sample of last terms students were selected and their grades are shown below. Assume scores are normally distributed.Body frame size is determined by a person's wrist circumference in relation to height. A researcher measures the wrist circumference and height of a random sample of individuals.What is the value of the test statistic to see if the correlation is statistically significant
Answer:
Hello your question has a disjointed equation attached to it and it is also incomplete attached below is the correct and complete question
A teacher believes that the third homework assignment is a key predictor in how well students will do on the midterm. Let x represent the third homework score and y the midterm exam score. A random sample of last terms students were selected and their grades are shown below
answer :
y-intercept = 25.9047
slope = 2.8420
Step-by-step explanation:
Determine the slope for the regression equation and y intercept
The regression equation ( gotten using excel ; attached below is the excel sample on how the equation was gotten )
y = 25.9047 + 2.8420x
from the equation gotten above
y-intercept = 25.9047
slope = 2.8420
List two examples of words/phrases that describe the mathematical operation of multiplication.
Answer:
Multiplied, Group Addition
Step-by-step explanation:
Again, all I know of.
YOU HAD YOUR WORD TASTUMI YOU HAD YOUR WORD!2
Answer:
yes :(
Step-by-step explanation:
A professor in one city earns $61,000 a year. A bioengineer earns $95,750. A nurse earns $50,600. What is the difference in salary between the professor and nurse?
Answer:
The difference is 10,400$.
Step-by-step explanation:
$61,000-$50,600=$10,400
We have a bilateral triangle with base length 2 and sidelengths x where x is increasing at a rate
of 5 units per minute.
Find the rate of change of the side angle teta when x=2.
Answer:
[tex]\frac{5\sqrt{3} }{6}[/tex]
Step-by-step explanation:
Given :
base length = 2
side lengths = x
dx/dt = 5 unit/min
Determine d∅ / dt at x = 2
d∅ / dt at x = 2 = [tex]\frac{5\sqrt{3} }{6}[/tex]
attached below is a detailed solution
2
If f(x) = -2x2- x, what is f(2) and f(3)?
Find the mid segment of GH
Answer:
B. 2
Step-by-step explanation:
Based on the Midsegment of a trapezoid theorem:
GH = (BC + FE)/2
9x - 3 = (19 + (5x + 1))/2) (substitution)
9x - 3 = (20 + 5x)/2
Cross multiply
2(9x - 3) = 20 + 5x
18x - 6 = 20 + 5x
Collect like terms
18x - 5x = 20 + 6
13x = 26
Divide both sides by 13
x = 26/13
x = 2
please help meeeeeeeeeeesssssssssssss
Answer:
384 cm^3
Step-by-step explanation:
(16 times 4) times 6 = 384 :D
write a function to match the function machine
Multiply the input by -3, then
subtract 2
Answer:
The required function is:
f(x) = 3x - 2Please check the attached graph.
Step-by-step explanation:
We need to write a function to match the function machine multiply the input by -3, then subtract 2.
Let 'x' be the input.
Multiply the input by 3 is: 3xSubtract 2: 3x - 2Therefore, multiply the input by -3, then subtracting 2 would give us the result:
f(x) = 3x - 2
Therefore, the required function is:
f(x) = 3x - 2Please check the attached graph.
PART A
3 less than half a number is 10
Write an expression to represent this situation.
Answer:
n/2 - 3 = 10 represents this situation
Step-by-step explanation:
Let the number be n. Then:
n/2 - 3 = 10 represents this situation.
Answer:1/2x-3=10
Step-by-step explanation:
Charlin got 20 questions correct on her exam and scored a 80%. How many (total) questions were on the exam
38 is what percent of 84 (to the nearest percent)?
Answer:
45.24
Step-by-step explanation:
Percentage Calculator: 38 is what percent of 84? = 45.24.
Answer:
45%
Step-by-step explanation:
84÷100=0.84
38÷0.84=45.24 rounded that is 45%
4 + 5 x (10 divided by 9 ) 4 = ?
Answer:
40
Step-by-step explanation:
4+5=9
9x(10/9)=10
10x4=40
Raul used the steps shown below to solve the equation. In which step did Raul make a mistake?
5x-3(2x+7)=2x+9
Step 1: 5x-6x-21=2x+9
Step 2: -11x-21=2x+9
Step 3: -12x=30
Step 4: x=-30/12
A. Step 1
B. Step 2
C. Step 3
D. Step 4
Answer:The answer is B, step two
Step-by-step explanation:5x-6x equals to -1x
