Find the 2nd of three consecutive positive even integers such that the product o the second and third integers is twenty more than ten times the first integer.
Answer:
10
Step-by-step explanation:
Let the three consecutive positive even integers be x-1, x and x+1
First = x-1
Second = x
Third = x+1
If the product of the second and third integers is twenty more than ten times the first integer, then;
x(x+1) = 20 + 10(x-1)
Open the bracket
x² + x = 20 + 10x - 10
x² + x = 10x + 10
x² + x - 10x - 10 = 0
x² - 9x - 10 = 0
x² -10x + x - 10 = 0
x(x-10)+ 1(x-10) = 0
(x+1)(x-10) = 0
x+1 = 0 and x-10 = 0
x = -1 and 10
Hence the 2nd of three consecutive positive even integers is 10
Please help me asap!! Im in a rush
Answer:
its c
Step-by-step explanation:
just bc
in a random School sampling of 50 middle school students it was found that 18 students bring their lunch to school everyday if there are 942 students in the school predict how many bring their lunch to school each day
Answer:
340
Step-by-step explanation:
We can see in the sample that 18/50 people bring lunches to school. If we divide 18 by 50 we get 0.36 now we know that 36% of people bring their lunches in the sample. Now we take that number and multiply it by 942.
0.36*942= 339.12 which we can round to 340
The length of a rectangle is 7 cm longer than it's width, x cm. So, write down an equation in term of x, for the length of this rectangle
Answer:
Length = (7 + x)
Step-by-step explanation:
In this question we have to convert the verbal expression to algebraic expression.
Let the width of the rectangle = x cm
"Length of the rectangle is 7 cm longer than it's width"
Length = 7 + Width
Length = (7 + x) cm
Therefore, equation for which length of the rectangle is defined will be,
Length = (7 + x)
If two lines are parallel and they are defined by the equations, y=4x-5 and y=ax+2, what is the value of a?
Answer:
[tex]a=\dfrac{4x-7}{x}[/tex]
Step-by-step explanation:
The equations of lines are :
y=4x-5 and y=ax+2
From above equations,
4x-5 = ax+2
4x-ax = 5+2
4x-7 = ax
[tex]a=\dfrac{4x-7}{x}[/tex]
So, the value of a is equal to [tex]\dfrac{4x-7}{x}[/tex].
Which unit rate is the lowest price per ounce?
Choice A: 6 ounces of chocolate chips for $2.49
Choice B: 8 ounces of chocolate chips for $3.32
Answer:
they are equal
Step-by-step explanation:
If you divide 2.49 by 6 you get .415 and you get the same if you do 3.32 by 8
Answer:
none there the same amount
Step-by-step explanation:
Please he'll if you want brianleist (no links please!) Ty :)
Answer:
It is 1/36
Step-by-step explanation:
Brainliest plzzz
I need the answer quickly.
Answer:
50 Cans (I think)
Step-by-step explanation:
I set up the proportion of 9/50 and 45/x and cross-multiplied to find x. After solving for x, which was 250, I subtracted all of the other paints.
250-48-45-39-35-33=50
That's how I got to 50 cans sold.
Hannah took p minuets to jog around a park. Sofia took 12 minuets longer to jog around the park. If sofia took t minutes to jog around the park, express t in terms of p.
Answer:
t = p + 12
Independent variable: p
Dependent variable: t
Step-by-step explanation:
19 The manager of the sporting-goods store
raises the price of a basketball from $16.80
to $18.90. What is the percent of change?
Answer:
12.5%
Step-by-step explanation:
% of change = the difference between the new price and the old price ÷ the old price × 100
=> % of change = (18.9 - 16.8) ÷ 16.8 × 100 = 12.5
=> The ans will be 12.5%
Solve for x in the diagram below.
Answer:
35
Step-by-step explanation:
angles in a straight line add up to 180°
so 180-75=105
105÷3= 35
Which set of numbers could be the length of the sides of a triangle?
O {6, 9, 15)
O [3.3.7)
O {6, 9, 12)
O {1,2,3)
3. {6,9,15)
for these u have use Pythagoras theorem
the exact volume is what?
Answer:
7680πyd³
Step-by-step explanation:
The formula to calculate the volume of the cylinder is πr² h
Here radius (r) = 16 yd
height (h) = 30 yd
Now
the volume is
= πr²h
= 16² * 30 * π
= 7680 π yd³
Hope it will help :)❤
Karl is offered a simple interest rate of 5% at a local bank. He deposited $900.
Which statement is true?
Karl will earn $270 as an interest after 4 years.
Karl will earn $120 as an interest after 3 years.
Karl will earn $14 as an interest after 1 year.
Karl will earn $90 as an interest after 2 years.
Answer:
It may be helpful to organize the information by listing all four variables and filling in ... Find the simple interest earned after 3 years on $500 at an interest rate of 6%. ... Find the simple interest earned after 4 years on $800 at an interest rate of 5%. ... We will use the simple interest formula to find the principal.
Step-by-step explanation:
Write a congruence statement for the pair of triangles. Name the postulate it theorem that justifies your statement.
Answer:
B
Step-by-step explanation:
(dont mind the anime ) but ill give brainlist for the FIRST person to get it RIGHT it dont have to have summary just the numbers please and thank you
Answer:
I got 250.21 squared. Just tell me if I'm wrong.
Step-by-step explanation:
13.1 x 19.1 = 250.21
Find the fifth term in the geometric
sequence, given the first term and
the common ratio.
az = 2 and r = 3
Answer:
a₅ = 162Step-by-step explanation:
The nth term in the geometric sequence: [tex]a_n=a_1\cdt r^{n-1}[/tex]
a₁ = 2 and r = 3
So:
[tex]a_5=a_1\cdot r^4=2\cdot3^4 = 2\cdot81=162[/tex]
Rita discovered that a lab thermometer in her Chemistry class is not accurate. She created the table to show the relationship between x, the thermometer’s temperature reading, and y, the actual temperature. Which equation represents the relationship between x and y shown in the table?
A. y=x+1
B. y=-x
C. y=4x
D.y=x+4
Answer:
D. y=x+4Step-by-step explanation:
According to given table, we can see each line has relationship:
x - y = -4Convert this into equation of the line:
y = x + 4Correct choice is D
Can someone also help me with this one please, I would add more images but it doesn't let me
Answer:
3x(-4)
:) hope this helps xox
Step-by-step explanation:
Can Someone help me :,)
Answer: you actually already have the answer I would show work but that’s too much typing but trust. 733.04
Step-by-step explanation:
aluminum production from bauxite ore costs $2000 per ton, whereas aluminum recycling costs $800 per ton. what is the percent saved by recycling?
Answer: 40%
Step-by-step explanation: $2000
If you turn the 2000 into 20 (for now) and the 800 into 8, then the 20 into 10, and the 8 into 4, then 4 out of 10 equals 40%.
SOMEONE PLEASE HELP!!
52 miles is the same as how many kilometers?
Hint: 1 mi ≈ 1.6 km
Round your answer to the nearest tenth.
Answer:
21
Step-by-step explanation:
Answer:
its 83.6859 km but simplified it would be 84 km
Step-by-step explanation:
There about fifteen hundred players in the nfl in a survey of a random sample of 50 players three players were hurt how many players in the nfl would be excpected to get hurt
Answer: 90 players.
Step-by-step explanation:
Since we are informed that in a survey of a random sample of 50 players, 3 players were hurt. This gives a fraction of 3/50 for those that are hurt.
Therefore, in a survey of 1500 players, the number of players expected to be hurt will be:
= 3/50 × 1500
= 90
solve the system below.
options:
a. (1,-4)
b. (-4,1)
c. (-1,5)
d. (-1,4)
Answer:
1 and - 4is the correct answer
The total number of animals in a shelter is modeled by f(x) = 2x2 - 45x, where x represents the number of
cages at the facility. How many cages are at the facility if it has a total of 243 animals there?
A. 25
B. 27
C. 33
D. 39
Answer:
B: 27
Step-by-step explanation:
The total number of animals in a shelter is modeled by the function:
[tex]f(x)=2x^2-45x[/tex]
Where x is the number of cages at the facility.
We want to determine the number of cages if there are a total of 243 animals at the shelter.
So, we can set our function to 243 and solve for x:
[tex]243=2x^2-45x[/tex]
Subtract 243 from both sides:
[tex]2x^2-45x-243=0[/tex]
Solve the quadratic. Factoring and completing the square seems too difficult, so we can use the quadratic formula:
[tex]\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
In this case, a = 2, b = -45, and c = -243. Substitute:
[tex]\displaystyle x=\frac{-(-45)\pm\sqrt{(-45)^2-4(2)(-243)}}{2(2)}[/tex]
Evaluae:
[tex]\displaystyle x=\frac{45\pm\sqrt{3969}}{4}[/tex]
Evaluate:
[tex]\displaystyle x=\frac{45\pm63}{4}[/tex]
Therefore, our two solutions are:
[tex]\displaystyle x=\frac{45+63}{4}=27\text{ or } x=\frac{45-63}{4}=-\frac{9}{2}[/tex]
Since we cannot have negative or half a cage, we can ignore the second solution.
Therefore, there are a total of 27 cages at the shelter.
Our answer is B.
Answer:
B. 27 is the answer.
Step-by-step explanation:
#OrganizeLearningTerell jackson opened a savings account by depositing his $1,050 paycheck his bank pays 12% interest compound a monthly basis he doesn't make any other deposits or withdrawals after three years how much interest will he earn
Answer:
Interest= $516.93
Step-by-step explanation:
Giving the following information:
Initial investment (PV)= $1,200
Number of periods (n)= 12*3= 36 months
Interest rate (i)= 0.12/12 = 0.01 monthly
First, we need to calculate the future value of the investment using the following formula:
FV= PV*(1 + i)^n
FV= 1,200*(1.01^36)
FV= $1,716.93
Now, the interest earned:
Interest= 1,716.93 - 1,200
Interest= $516.93
9/2 as a percentage
Answer:
450%
Step-by-step explanation:
You have $39 in cash, composed of the largest bills possible. What is the probability that a randomly chosen bill from the $39 will not be a $1 bill?
a. 4/7
b. 1/2
c. 3/7
d. 4/8
Answer:
c) 3/7
Step-by-step explanation:
there are a total of 7 bills:
1 - $20
1 - $10
1 - $50
4- $1
P(not $1) = 3/7
The parabola is swached vertically by a factor of 5.
Answer:
answer below
Step-by-step explanation:
I think you mean "squashed" or "stretched" vertically by a factor of 5.
f(x) is the original parabola equation
g(x) = 5f(x) is vertically stretched by a factor of 5
(x,y) -> (x , 5y)
3) Bella recorded data and used her graphing calculator to find the equation for
the line of best fit. She then used the correlation coefficient to determine the
strength of the linear fit. Which correlation coefficient represents the strongest
linear relationship?
-0.9
0.3
-0.5
0.8
Answer:
-0.9
Step-by-step explanation:
my guess
it's supposed to be the a number closest to 1 or-1
so
-0.9 is the closest number to 1 or -1
The answer to this question is:
0.8
What is line of best fit and correlation coefficient?
A straight line that best approximates the given set of data is known as a line of best fit. It is a line that, on a graph, roughly straddles the center of each scatter point. The association is stronger the closer the points are to the line of greatest fit.
The equation of a line of a best fit is represented as: y=mx + c
To gauge how closely two variables are related to one another, correlation coefficients are used.
Solution:
In order to determine how closely related two sets of data are, correlation coefficient formulas are used. The formulas provide a value in the range of -1 and 1, where
1 denotes a strongly positive association.A score of -1 indicates a very adverse association.A result of zero means there is absolutely no associationThe strength of the link between the variables increases with the distance between the coefficients of +1.0 and -1.0.
-0.9 is a value which is greater than -0.8, so the values which are greater than -0.8 are not considered as strong correlation coefficient.
Whereas the values which are less than 0.8 are also not considered as strong coefficients.
Hence 0.8 is the correlation coefficient which represents the strongest linear relationship.
Learn more about "correlation coefficients" here-
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