Hi there!
A valley farmer has 26 employees and he pays each of them $410 per week.
After paying them for one week he has $162 dollars left. We need to find how much money he had at first.
So the first step is to multiply $410 on 26 since he gives 410 dollars to each employee, which he has 26.
$410 · 26 = $10,660
So he had $10,660 before he paid the workers, but he still had $162 left. To find out his overall total of money he had we need to add $10,660 and $162 which will be $10,822.
The farmer had $10,822
Hope this helped!~
(-2ab+a-2)-(2ab+3) find the difference
How many equivalent fractions can you write for a given fraction?
Answer:
An infinite amount
Step-by-step explanation:
Because numbers stretch on infinitely you literally can keep multiplying the starting value by numbers forever to keep equal fractions.
Please help me on this!!
Catalina uses a 3 1/2 ounce packet of seasoning for her steaks. The packet contains of 1 1/3 ounces of garlic powder and 1 1/4 ounces of onion powder. The remainder of the packet consists of black pepper. How many ounces of black pepper are in the packet of seasoning?
Answer:
11/12
Step-by-step explanation:you have to turn all the mixed numbers into improper fraction so 1 1/3 is 16/12 1 1/4 is 15/12 and if you add them you get 2 7/12 and that minus 3 6/12 is 11/12
There are 11/12 ounces of black pepper in Catalina's seasoning packet.
Catalina uses a 3 1/2 ounce packet of seasoning for her steaks.
This packet contains 1 1/3 ounces of garlic powder and 1 1/4 ounces of onion powder.
To find out how many ounces of black pepper are in the packet, we need to subtract the combined weight of the garlic and onion powders from the total weight of the seasoning packet.
Garlic powder: 1 1/3 ounces = 4/3 ounces
Onion powder: 1 1/4 ounces = 5/4 ounces
Total seasoning packet: 3 1/2 ounces = 7/2 ounces
We then add the amounts of garlic and onion powders to get their combined weight:
4/3 + 5/4 = (16 + 15) / 12 = 31/12 ounces
The next step is to subtract the combined weight of the garlic and onion powder from the total weight of the seasoning packet:
7/2 ounces - 31/12 ounces = (7\*6 - 31) / 12 = (42 - 31) / 12 = 11/12 ounces.
sarosh receives 8% commission on the final price of the clothing he sells . a customer bought a $45.00 coat the was marked 20% off and a $95.00 suit that was marked 30% off what would sarosh's commission be on that customers purchase?
Answer:
$8.2
Step-by-step explanation:
The final price of the coat = $45 -0.2 * $45 = $36
The final price of the suit = $95 − 0.3 * $95 = $66.5
sarosh's commission = 0.08 * ( $36 + $66 ) = $8.2
One number is 7 more than another.The difference between their squares is 217.What are the numbers?
The problem where one number is 7 more than another and their squares differ by 217 can be solved by creating a system of equations and simplifying to find the numbers are 12 and 19.
Explanation:To solve the problem where one number is 7 more than another and the difference between their squares is 217, we can create a system of equations. Let's assume the first number is x and the second number is x+7. The problem then translates to the equation (x+7)² - x² = 217.
Step-by-step solution:
Expand the left side of the equation: (x+7)² - x² = (x² + 14x + 49) - x².Cancel out the x² terms: 14x + 49 = 217.Subtract 49 from both sides: 14x = 168.Divide both sides by 14: x = 12.Therefore, the first number is 12 and the second number is 12 + 7 = 19.After computing the solution, we find that the two numbers are 12 and 19.
Ty takes 1 hour to read 35 pages, 2 hours to read 70 pages, and 3 hours to read 105 pages, is this proportional? Explain
Answer:
Yes it is proportional.
Step-by-step explanation:
35/1 is the same thing as 70/2, as well as 105/3, because they all simplify to 35/1.
Ole answer and show work ♥️
Answer:
a=54
Step-by-step explanation:
first multiply by -16 on both sides and you will get a+26=80 then subtract 26 on bothsides then you will get a=54 and 54 is your answer
if y varies inversely as x and y=16 when x=4, find y when x=3
Answer:
21.33 to nearest hundredth
Step-by-step explanation:
Inverse Variation is y = k / x where k is a constant.
Plug in the given values to find k:-
16 = k/4
k = 4*16 = 64 so the equation of variation is y = 64/x.
So when x = 3, y = 64/3 = = 21.33 to nearest hundredth.
The value of y when x = 3 is 21.33
The value of y = 21.33
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be A
The value of x = 4
The value of y = 16
Now , the value of y is inversely proportional to x
So ,
y ∝ 1/x
y = k/x
where k is the constant of proportionality
So , k = yx
Now , substituting the value of x and y in the equation , we get
k = 16 x 4
k = 64
So , when the value of x = 3 ,
y = k / x
y = 64 / 3
y = 21.33
Hence , The value of y when x = 3 is 21.33
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Find the value of the factorial
8! =
(Type a whole number)
The factorial of a non-negative integer n, denoted by n!, is the product of all positive integers less than or equal to n. 8! = 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 equals 40,320.
Explanation:In Mathematics, the factorial of a non-negative integer n, denoted by n!, is the product of all positive integers less than or equal to n. For instance, 8! means multiplying together 8, 7, 6, 5, 4, 3, 2 and 1. So, the calculation would look like this: 8! = 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 = 40,320. Therefore, the value of 8! is 40,320.
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13/10 of a number is what percentage of that number?
[tex]\dfrac{13}{10}=\dfrac{13}{10}\cdot100\%=13\cdot10\%=130\%\\\\\dfrac{13}{10}\ \text{of a number is}\ 130\%\ \text{of a number}.[/tex]
Answer:
130%
Step-by-step explanation:
If a pizza is cut into six equal pieces. And then it’s cut in half to create two smaller equal pieces. What fraction of the total pizza does one of the smaller pieces represent?
Answer:
1/12
Step-by-step explanation:
Since the pizza was cut into 6, each of the slices = 1/6.
But because the pizza was then cut into half, it makes each slice = 1/12
6 x 2 = 12
Therefore the answer is 1/12.
PLEASE HELP VERY URGENT!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Q1. Look at the picture.
[tex]C.\\y=-\dfrac{1}{3}x+3\\\\y=2x-4[/tex]
Q2. Look at the picture.
[tex]A.\ 4-t[/tex]
Q3.
Put the value of x = 2 to the equation 3x + y = 5:
[tex]3(2)+y=5[/tex]
[tex]6+y=5[/tex] subtract 6 from both sides
[tex]y=-1\\\\F.\ -1[/tex]
Q4.
[tex]\left\{\begin{array}{ccc}n=3m-11&(*)\\2m+3n=0&(**)\end{array}\right[/tex]
Substitute (*) to (**):
[tex]2m+3(3m-11)=0[/tex] use distributive property
[tex]2m+(3)(3m)+(3)(-11)=0[/tex]
[tex]2m+9m-33=0[/tex] add 33 to both sides
[tex]11m=33[/tex] divide both sides by 11
[tex]m=3[/tex]
Put the value of m to (*):
[tex]n=3(3)-11\\\\n=9-11\\\\n=-2[/tex]
[tex]C. (3,\ -2)[/tex]
Q5.
w - width
3w - length
24 in - the sum of length and width
The equation:
[tex]w+3w=24[/tex]
[tex]4w=24[/tex] divide both sides by 4
[tex]w=6\ in[/tex]
[tex]3w=3(6)=18\ in[/tex]
[tex]J.\ 18\ inches[/tex]
Answer:
j. 18 inches
Step-by-step explanation:
graph the solution to the inequality 2x-3y<18
<, > - dotted line
≤, ≥ - solid line
[tex]2x-3y<18\qquad\text{subtract 2x from both sides}\\\\-3y<-2x+18\qquad\text{change the signs}\\\\3y>2x-18\qquad\text{divide both sides by 3}\\\\y>\dfrac{2}{3}x-6\\\\y=\dfrac{2}{3}x-6-\text{It's a linear function}\\\\for\ x=0\to y=\dfrac{2}{3}(0)-6=0-6=-6\to(0;\ -6)\\\\for\ x=6\to y=\dfrac{2}{3}(6)-6=2(2)-6=4-6=-2\to(6;\ -2)[/tex]
What is Distributive property
Answer:
It is when you distribute one number between two numbers like this
Step-by-step explanation:
2(5+3)
5 x 2 and 2 x 3
10 + 6
16
jim and Jon are painting a fence. Jon painted 1/4 of the fence. Jim painted 5/12 of the fence. how much of the fence did they paint in total?
Our first step is the find the lcm of 4 and 12 so we can add the two fractions without having a problem.
The lcm of 4 and 12 is clearly 12 because 12 is a multiple of 4. 12 divided by 4 is 3, so you must multiply by 3/3 to be able to add the two fractions.
1/4*(3/3)=3/12.
So, 3/12+5/12=7/12.
Jim and Jon painted 7/12 of the the fence.
Answer:
2/3 of the fence
Step-by-step explanation:
Jim painted 1/4 of the fence
Jon painted 5/12 of the fence
Together they painted
1/4+5/12 of the fence
We need a common denominator to add the fractions
The common denominator is 12
1/4*3/3 + 5/12
3/12 + 5/12
8/12
This can be simplified by dividing the top and bottom by 4
2/3
Together, they painted 2/3 of the fence.
what is this in vertex form
Answer:
(x + 1)² + 4
Step-by-step explanation:
the equation of a parabola in vertex form is
y = a (x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
to obtain this form use the method of completing the square
• add/subtract (half the coefficient of the x-term)² to x² + 2x
= x² + 2(1)x + 1 - 1 + 5
= (x + 1)² + 4 ← the second option
Carrie buys 6.2 yards of blue fabric and 5.4 yards of red fabric.If the blue and red fabric costs the same amount per yard,and Carrie pays $58 for all of the fabrics ,what is the cost per yard ?
Answer:
5.00 a yard
Step-by-step explanation:
5.4 + 6.2 = 11.6
58.00 divided by 11.6 =
5
5.00 a yard
Answer:
$5 per yard
Step-by-step explanation:
Add 6.2 and 5.4
You get 11.6
Divide 11.6 by 58
The answer is 5
Suppose the radius of a circle is 3 units. what is its circumference ?
Answer:
18.84 (or 19 to 2.s.f)
Step-by-step explanation:
The formula for the circumference of a circle is π * diameter. To find the diameter you multiply the radius by 2:
3 * 2 = 6
Then simply plug the value into the formula:
π * 6 = 6π ≈ 18.84 ≈ 19 to 2.s.f
Answer:The answer is 18.84
Step-by-step explanation:To figure out the circumference of a circle you need to divide the radius by 2. After that you would do [tex]2\pi * ( your number )[/tex] * 2
marco wants to invest his savings in a bank for 3 years. he has £15000 to invest and recieves offers from two banks: bank of peace= 2.5% a year compound interest or bank of trust= 3.8% for 1st year 1% extra for each extra year. which bank should marco choose to get the most interest over the three year period? you must show all your working
Bank of Peace= 15000(1+0.025)³=£16153.36
Bank of Trust=15000(1+0.038)=£15570
£15570(1+0.01)=£15882.95
Bank of Peace is the best choice.
I would choose the Bank of Peace to get the most of my savings.
Formula for calculating the compound value of the savings at the Bank of Peace = FV = P (1 + r)^n
FV = Future value
P = amount deposited
R = interest rate
N = number of years
£15,000 x (1.025)^3 = £16,153.36
Interest earned at the Bank of Trust in the first year = £15,000 x 0.038 = $570
Total amount at the end of the first year = $570 + £15,000 = £15,570.
Value for the two extra years = $15,570 x (1.01)^2 =$15,882.96
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The table shows the number of championships won by the baseball and softball leagues of three youth baseball divisions organized by age groups.
Baseball League (B) Softball League (S) Ages 7 – 9 (X) 3 7 Ages 10 – 12 (Y) 2 2 Ages 13 – 15 (Z) 1 1 If the winner is in Baseball League, find the probability that the winning team is in either the Ages 10 - 12 division or the Ages 13 - 15 division. Answer in terms of a reduced fraction.
A. P(Y | B) = a0 a1
B. P(Z | B) = a2 a3
C. P(Y or Z |B) = a4 a5
Answer:
Step-by-step explanation:
heyq
The correct answer is:
7/10
Explanation:
Finding the totals of each column and row, we find:
There are 3+2+1 = 6 children in the baseball league.
There are 7+2+1 = 10 children in the softball league.
There are 3+7 = 10 children in the 7-9 division.
There are 2+2 = 4 children in the 10-12 division.
There are 1+1 = 2 children in the 13-15 division.
There are a total of 10+6 = 16 children.
We start with the information that the team is a member of the softball league. There are 10 children in this league; this is the denominator of the probability.
There are 7 children in the 7-9 division that are in the softball league. This gives us the probability 7/10.
please you are a student study well especially graph is easy thing to do.
Answer:
A. 2/5 or 40%
B. 1/5 or 20%
C. 3/5 or 60%
Can someone help me. I really need this answer.
Answer:
The letter "n" can be considered a term, a variable, and an expression. It cannot be considered a "constant", therefore the answer is "a constant".
Which of the following segments is a radius a circle A
Bc
Ac
Cm
Rs
Answer: Segment AC (second choice)
The radius is the segment that goes from the center, point A, to a point on the circle (either B, C or M). Since AB and AM aren't mentioned, this means that only AC is a radius of the four answer choices listed.
use the substitution method to solve the system of
equations.choose the correct ordered pair.
3x+y=10
y=x-2
A.(4,2)
B.(5,3)
C.(2,0)
D.(3,1)
Answer:
I THINK THE ANSWER IS D
TELL ME IF I"M WRONG
Step-by-step explanation:
What percent of 94 is 47
Answer:
50%
Step-by-step explanation:
47 is half of 94 which is the same thing as 50% of 94
Answer:
94% of 47 is just 47 x 0.94 ¯\_(ツ)_/¯
So 44.18
Please mark brainliest which would help alot.
Step-by-step explanation:
please answer this properly and correctly
Use a number line to find the absolute value of -3 and 3
Answer:
3
Step-by-step explanation:
If you look at this number line, all you have to do is count how many times it takes to get from -3 to 3. And you get 3.
PLZZ HELP ASAP NEEDING HELP
Answer:
-2 PLEASE GIVE BRAINLIEST
Step-by-step explanation:
Maria's Team
6 points for guessing correctly 6 times
subtract 8 points for skipping.
6 - 8= -2
Answer:
-2
Step-by-step explanation:
Consider the sequence 130, 143, 156, 169, ... Write an explicit formula to represent the arithmetic sequence and use it to find the 13th term.
Answer:
a(n) = 130 + (n-1) 13
13th term = 286
Step-by-step explanation:
We are given a sequence of numbers: 130, 143, 156, 169, ... and we are to write an explicit formula to represent the arithmetic sequence and use it to find the 13th term.
We know that the arithmetic sequence can be defined by:
[tex]a_n=d(n-1)+c[/tex]
where [tex]d[/tex] = the common difference between consecutive terms ; and
[tex]c[/tex]=[tex]a_1[/tex]
13th term:
[tex]a_{13}=130+(12)13 = 286[/tex]
Therefore, the formula for this sequence will be a(n) = 130 + (n-1) 13 and 13th term is 286.
how to find the exact value of z
Answer:
Step-by-step explanation:
I think that the answer is x-6