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
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.
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
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
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
what 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
help please!!!!!!!!!!!!!! im bad at math
Answer:
[tex]thank \: you[/tex]
Answer:
5k 1/2
Step-by-step explanation:
here you go!!!!!!!!!!!!!!
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.
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
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)
simplify (a+1/a)^2-(a-1/a)^2
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.
**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
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^_^
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]
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
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
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.
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
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
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
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 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
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]
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
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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.
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
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)"
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
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
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 = 88