Answer:
721.
Step-by-step explanation:
The total number must be a multiple of 7
One less than the number is the LCM of 2 3 4 5 6 and 8.
The LCM is worked out as follows
2
3
4 = 2*2
5
6 = 2*3
8 = 2*2*2
LCM = 2*2*2* 3*5 = 120
But 121 is not divisible by 7 so it must be a multiple of 120 + 1 which is divisible by 7.
240 + 1 = 241 - not divisible by 7
480 + 1 = 481 - not divisible by 7
720 + 1 = 721
721/7 = 103
Answer:
Step-by-step explanation:
Let say n the number of pennies in the jar.
n is a multiple of 7 : n=7*k
n-1 is a multiple of 2,3,4,5,6,8 so a multiple of the lcm= 120
n-1=120*t
n-1=120*t
n=7*k
120*t=7k-1
7k=120*t+1
[tex]k=\dfrac{120*t+1}{7}\\k=17*t+\dfrac{t+1}{7}\\t=6+7*a\\k=17*(6+7a)+\frac{6+7*a+1}{7} =102+119*a+1+a=103+120*a\\n=7*k=7*(103+120*a)=721+840a\\\\[/tex]
The least number of pennies is 721 (when a=0)
Proof:
n-1=720
720/2=360
720/3=240
720/4=180
720/5=144
720/8=90
721/7=103
To which number sets would ✓16 belong? Check
all that apply.
(Select all that apply.)
Natural
Whole
Integers
Rational
Irrational
Answer:
16 is rational , interger , Whole.
a.) The median player salary for the New York Yankees was $1.5 million in 2007 and $1.7 million in 2013. Write a linear equation giving the median salary y in terms of the year x. (Let y be in millions of dollars and let
x = 7
represent 2007.)
b.) Use the equation to predict the median salary in 2048. (Round your answer to one decimal place.)
$ million
A general linear equation is given by:
[tex]y = a*x + b[/tex]
Where a is the slope and b is the y-intercept.
Here we will find that the linear equation that represents the situation is
[tex]y = 0.033*x + 1.269[/tex]
And we can expect that the median salary in 2048 is $2.853 million
If the line passes through the points (x₁, y₁) and (x₂, y₂) then the slope can be written as:
[tex]a = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Here we know that:
in 2007 (x = 7) the median player salary was y = $1.5 million
in 2013 (x = 13) the median player salary was y = $1.7 million.
Then we have two points that we can write as:
(7, 1.5)
(13, 1.7)
Note that the y-value is in millions.
Then the slope of the linear equation will be:
[tex]a = \frac{1.7 - 1.5}{13 - 7} = 0.033[/tex]
So the linear equation is something like:
[tex]y = 0.033*x + b[/tex]
To find the value of b, remember the point (7, 1.5), this means that when we have x = 7, we also have y = 1.5, then we can replace these in the above equation:
[tex]1.5 = 0.033*7 + b\\\\1.5 - 0.033*7 = b = 1.269[/tex]
Then the linear equation is:
[tex]y = 0.033*x + 1.269[/tex]
b) Now we want to predict the median salary in 2048. For 2048 the x-value is x = 48
So we just need to evaluate this in the linear equation:
[tex]y = 0.033*48 + 1.269 = 2.853[/tex]
Then the median salary in 2048 will be $2.853 million
If you want to learn more, you can read:
https://brainly.com/question/1189779
If f(x) = 24 +5, then what is the remainder when f(x) is divided by 2 + 2?
Answer:
The question is incorrect as it lacks the "x" component. Function f(x) cannot be stated without the x, elseways it couldn't be called "f(x)"
solve the equation
5(2x + 8) = - 33 +53
Answer:
5(2x + 8) = –33 + 53
10x + 40 = –33+53
10x= –33+53–40
10x = –20
x = –20/ 10
x = – 2
I hope I helped you^_^
Write your answer as an integer or as a decimal rounded to the nearest tenth
Answer:
965.31sq.km
Step-by-step explanation:
Area of the triangle = 1/2 xy sina
a=52° , x=49 , y=50
area of triangle= 1/2 * 49 *50 *sin52°
area= 965.31 sq.km
**3. What is the y-intercept of the line that has a slope of
-4 and passes through the point (4, -6)?
Answer:
10
Step-by-step explanation:
We'll first write in point-slope form:
y - y1 = m(x - x1)
where (x1, y1) is our point and m is our slope.
Then convert into slope-intercept form to make it easier to find the y-intercept.
y - (-6) = -4(x-4)
y + 6 = -4(x-4)
y + 6 = -4x + 16
y = -4x + 10
Now that we've put the equation in slope-intercept form, we see that our b-value
y = mx + b
b = 10, so our y-intercept is 10
Solve the equation -2x = -3x + 14
Evaluate the expression x² - 3y + 12 for x and y = 5
#1
[tex]\\ \sf\Rrightarrow -2x=-3x+14[/tex]
[tex]\\ \sf\Rrightarrow -2x+3x=14[/tex]
[tex]\\ \sf\Rrightarrow x=14[/tex]
#2
[tex]\\ \sf\Rrightarrow x^2-3y+12[/tex]
[tex]\\ \sf\Rrightarrow 5^2-3(5)+12[/tex]
[tex]\\ \sf\Rrightarrow 25-15+12[/tex]
[tex]\\ \sf\Rrightarrow 10+12[/tex]
[tex]\\ \sf\Rrightarrow 22[/tex]
Write the equation of the line passing through point (-6,0) and perpendicular to y=3/2 x
Answer:
option c
Step-by-step explanation:
explaination is in pic below
Which One Does Not Belong? EXPLAIN your REASONING
Answer:
The last one
Step-by-step explanation:
0.3333..., 30%, 3/10 are parts.
The last one ( 3 circles) are 3 wholes.
(whole numbers)
I hope this helped:)...
:-)
Hey there! I'm happy to help!
30% is the same thing as 0.3, which is 30% of 1.
0.3 is what you multiply numbers if you want to see what 30% of that number is as 0.3 is 30% of 1, the whole number.
3/10 is the same value as 30% because 3 divided by 10 is equal to 0.3, which is 30%.
The dots in the boxes are also the same thing as 3/10. There are 10 boxes, and 3 out of the 10 have dots, which is 3/10 and 30%.
The one that does not belong is 0.333333...... This is equivalent to 1/3, which is greater than 30%, 0.3, and 3/10.
Have a wonderful day and keep on learning! :D
What is the area of a rectangle with a length of 5 cm and a width of 3 cm
Hi there!
»»————- ★ ————-««
I believe your answer is:
15cm²
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Area of a rectangle is:}}\\\\A = l * w\\----------------\\\rightarrow L = 5; w = 3\\\\\rightarrow A = 5 * 3\\\\\rightarrow A = \boxed{15cm^2}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
HELPPPPP PLSS- What is the area of this figure? 9 yd 5 yd 7 yd 3 yd 2 yd 6 yd square yards
Answer:
99
Step-by-step explanation:
9x5 + 7X6 + 3X4 + 2X6
Help me find the value
Answer:
soln
Step-by-step explanation:
a=7
b=-2
5a-3b
5×7-3×-2
35+6(because - and - becomes+
41ans
Answer:
5a-3b
5×7-3×-2
35-6
29
I think soo
ramesh took a loan of rs 50000 from urmila at the rate of 10%p.a. if he paid half of the principal and all the interest at the end of 3 years in how many years should he pay the remaining amount with total interest of 20000 from the beginning?
Ramesh took a loan of rs 50000 from Urmila at the rate of 10%p.a. if he paid half of the principal and all the interest at the end of 3 years
P= 80000
R = 10% '
1st-year amount = 88000
10% compounded annually
If you pay the loan of 55000 at the end of year 2, constant payment from year 1 After that, I paid 110% of the balance. C. I have always calculated in terms of the previous year's amounts
= \frac{55000}{110} \times 100 = 50000
So after the first year, a certain amount is paid, and the remaining amount is will be 50000.
So a certain amount to be paid in 1 year = 88000 -50000 = 38000
A loan is a type of debt owed by an individual or other legal entity. A lender (usually a corporation, financial institution, or government) makes an advance payment to a borrower. In return, the borrower agrees to certain terms, including financing costs, interest, repayment dates, and other terms.
A loan is an amount of money borrowed from a bank or other financial institution by one or more individuals or businesses to finance planned or unscheduled events. A borrower takes out a loan that must be repaid with interest within a certain period of time. May 6, 2022
Learn more about loans here
https://brainly.com/question/9302251
#SPJ1
11. Write y = 2x² +12x+14 in vertex form.
Please show work if possible so I know how to do it
Answer:
y = 2(x + 3)² - 4
Step-by-step explanation:
y = 2x² + 1 2x + 14
Move the constant (14) to the left side
y - 14 = 2x² + 12x
Now factor out 'a' , the coefficient of x² term
y - 14= 2(x² + 6x)
Divide the coefficient of 'x' by 2 ⇒ 6/2 = 3
Find the square of '3' and add it to x² + 6x ⇒ x² + 6x + 9
Multiply the square of 3 and add it to y - 14; 9*2 = 18
y- 14 = 2(x² + 6x + 9)
y - 14 + 18 = 2(x² + 6x + 9)
y + 4 = 2(x² + 6x +9)
y + 4 = 2(x + 3)²
y = 2(x + 3)² - 4
Vertex ( -3 , -4)
Identify the problem with the following study. A local newspaper published the results of a study that claimed "482 people use the public library". The study was produced by using a random sample of 87 people from the town
Answer:
well, only 87 people were asked. How did they get 482?
also, they should have asked the people in the library.
simplify (a+1/a)^2-(a-1/a)^2
find the radius of a circle that has an area of 803.84 cm squared
Answer:
Radius = 16
Step-by-step explanation:
Area = πr²
803.84 = 3.14(r²)
256 = r²
√256 = 16
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
WILL GIVE BRAINLIEST TO WHOEVER CAN SHOW UR WORK:
89.9cm to m.
Answer:
give brainliest please I need it to level up
Step-by-step explanation:
divide the value in centimeters by 100 because 1 meter equals 100 centimeters.
So, 89.9 centimeters = 89.9÷ 100 = 0.899 meter.
Helllllpppppppp!!!!!
Answer: The correct answer is C
Step-by-step explanation:The graph is horizontally stretched by a factor of 1/5 because you are literally multiplying x by 1/5. So, your answer is C. Hope it makes sense. mark me brainlest
What is the solution of the equation?
8-3t=t
-1/4
-4
2
1/2
Answer:
t = 2
Step-by-step explanation:
8-3t=t
add 3t to both sides
8=4t
then divide both sides by 4 leaving you with
t=2
Find the least number which when divisible by 20, 24, 32 and 38 leaves a remainder 5 in cach case
Answer:
18245
Step-by-step explanation:
We have to use L.C.M,
L.C.M(20,24,32,38)
2|20,24,32,38
2| 10 ,12 ,16 ,19
2| 5 , 6 , 8 , 19
2| 5 , 3 , 4 , 19
2| 5 , 3 , 2 , 19
L.C.M = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 3 x 19
= 18240
Now for each case remainder is 5,
So the number is 18240+5
=> 18245
i need help ;^; pleeeeease
Answer:
[tex] - 9 \sqrt{48} - 8 \sqrt{12} \\ = - 9 \times 4 \sqrt{3} - 8 \times 2 \sqrt{3} \\ = - 36 \sqrt{3} - 16 \sqrt{3} \\ = \sqrt{3} ( - 36 - 16) \\ = \sqrt{3} \times - 52 \\ = - 52 \sqrt{3} \\ thank \: you[/tex]
Suppose y varies directly as x, and y = 9 when x = 36. Find y when x= 100.
Answer:
25
Step-by-step explanation:
let x = 36
y = 9
x2 = 100
y2 = y2
y : x :: y2 : x2
We know,
Product of means = Product of extremes
That is,
y(x2) = x(y2)
Substituting the values,
9(100) = 36(y2)
=> 36(y2) = 900
=> y2 = 900/36
=> y2 = 25
so when x = 100, y =25
what is the probability of reaching into the bag and picking a red marble and then drawing again (without replacing the marble you picked the first time) and picking a red marble. Please help. i have acellus btw
Answer:
To solve you would need the exact number of all colored marbles
Which unit is the best for measuring the distance between two cities?
O gram
O kilogram
O centimeter
O kilometer
The best unit for measuring the distance between two cities is kilometer.
help please!!!!!!!!!!!!!! im bad at math
Answer:
[tex]thank \: you[/tex]
Answer:
5k 1/2
Step-by-step explanation:
here you go!!!!!!!!!!!!!!
4.) 5(3y – z) - x =
If y=8, z=6, and x=2
Pls help lol
Answer:
90
Step by step explanation:
5(3y - z) - x = 0
or, 5(3×8 - 6) = x
or, 5(24 - 6) = x
or, 5×18 = x
or, x = 90
Answer:
88Step-by-step explanation:
Given expression:
5(3y - z) - xEvaluating the value of this expression if y = 8, z = 6, x = 2:
5(3*8 - 6) - 2 = 5(24 - 6) - 2 = 5(18) - 2 = 90 - 2 = 88what are the Properties of real numbers for 6425
Step-by-step explanation:
Properties of the number 6425
Factorization5 * 5 * 257Square root80.156097709407Natural logarithm8.7679519097634Decimal logarithm3.8078731320033Sine-0.42867294834975
5(1+s)=9s+6
----------------
Answer:
Solution given
5(1+s)=9s+6
distribute
5+5s=9s+6
subtract both side by 5s
5+5s-5s=9s-5s+6
solve like terms
5=4s+6
subtract both side by 6
5-6=4s+6-6
-1=4s
divide both side by 4
-1/4=s
Answer:
[tex]s=-\frac{1}{4}[/tex]
[tex]s=-0.25[/tex]
Step-by-step explanation:
[tex]5\left(1+s\right)=9s+6[/tex]
Apply distributive law:-
[tex]5\left(1+s\right)[/tex]
[tex]=5+5s[/tex]
[tex]5+5s=9s+6[/tex]
Now, Subtract 5 from both sides :-
[tex]5+5s-5=9s+6-5[/tex]
[tex]5s=9s+1[/tex]
Subtract 9s from both sides:-
[tex]5s-9s=9s+1-9s[/tex]
[tex]-4s=1[/tex]
Divide both sides by -4:-
[tex]\frac{-4s}{-4}=\frac{1}{-4}[/tex]
[tex]s=-\frac{1}{4}[/tex]
OAmalOHopeO
The distance between two points on a map is 6.5 cm. The scale of the map is 1:1000. Find the actual distance between the two points in km.
I need the answer asap
Answer:
0.065km
Step-by-step explanation:
1:1000 in cm
so in km its
cm:km
1:0.01
6.5:X
so its 0.065 km
hope it helps and correct
keep loving maths