Answer:
B
Step-by-step explanation:
just plug it in. (also just means divide it out)
3. Simplify. State the restriction
a) 6x^2-54y^2
X^2+4xy-21y^2
Answer:
i think they are simplified and i don't know what a restriction is
6x + 3y = -4
15x + 7y = -8
how many solutions does the system of equations have?
Barry buys 200 pieces of stationery for £76.
Of the 200 pieces of stationery, x of them are rulers that cost 50p each and y of
them are pens that cost 20p each.
Find how many rulers Barry buys and how many pens he buys.
First, we take the first given information: 200 pieces = £76. Since the other unknowns are expressed in pence "p", we convert this amount to "p" = 76 x 100 = 7600p.
The information on "x" and "y" gives us 2 equations:
first:
x pieces + y pieces = 200 pieces (or x + y = 200)
placing "x" in terms of "y" gives us x = 200 - y
in terms of "y": y = 200 - x
50p(x) + 20p(y) = 7600p (or 50x + 20y = 7600)
solving for "x" gives:
x = (7600 - 20y) / 50
substituting y from our first equation gives:
x = (7600 - 20(200 - x)) / 50
x = (7600 - 4000 + 20x) / 50 (distribute - remember to distribute the negative sign)
x = (3600 + 20x) / 50 (simplify)
x = 360/5 + (2/5)x (subtract (2/5)x from both sides)
(3/5)x = 360/5
3x = 360
x = 120 (rulers bought)
substituting into our first equation:
y = 80 (pens bought)
check our solution using the second equation:
50x + 20y = 7600
50(120) + 20(80) = 7600
6000 + 1600 = 7600 (correct)
therefore:
x = 120 rulers Barry bought
y = 80 pens Barry bought
The number of rulers is 120 and the number of pens are 80 in number, bought by Barry.
What is an arithmetic operation?The four fundamental operations of arithmetic are addition, subtract, multiply, and division of two or more numbers. Included in them is the study of integers, especially the order of operations, which is important for all other aspects of mathematics, notably algebra, information management, and geometry.
x + y = 200 pieces
x = 200 - y (i)
y = 200 - x (ii)
50(x) + 20(y) = 7600p
Solve the equation for x,
x = (7600 - 20y) / 50
Substitute y from the equation,
x = (7600 - 20 (200 - x)) / 50
x = (7600 - 4000 + 20x) / 50
x = (3600 + 20x) / 50
x = 360/5 + (2/5)x
(3/5)x = 360/5
3x = 360
x = 120 is the number of scales.
Substitute the value of x in the first equation,
y = 80 is the number of pens.
To know more about arithmetic operation:
https://brainly.com/question/13585407
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Guys, please help. Will give crown thing.
Answer:
NQ = 9cm
Step-by-step explanation:
If you divide 24 with 6, you get 4. So I divide 36 with 4, which gave me 9.
URGENT!!!!!
Work out the image attached
Include Workings
9514 1404 393
Answer:
17.8 km80.4 mStep-by-step explanation:
The first attachment shows the sort of geometry involved. The line of sight from the top of the lighthouse makes a tangent with the earth's surface at the horizon (neglecting optical effects due to the atmosphere).
The hypotenuse of the relevant triangle is (r+h), and the angle is adjacent to the radius, r. Then the cosine relation applies:
Cos = Adjacent/Hypotenuse
cos(α) = r/(r+h)
We note that the radius is in km, and the length h is given in meters, so we need to do a conversion to put the numbers in this formula. We don't care so much about the angle itself, but we need its value to find the length of the arc along the earth's surface. That is ...
s = r·α
so, the distance of interest is found from ...
cos(α) = 6367/(6367 +0.025)
r·α = 6367·arccos(6367/6367.025) ≈ 17.84 . . . km
The horizon is about 17.8 km from the observer.
__
The second problem requires we find the height value that makes the distance 32 km.
32 = r·α = 6367·arccos(6367/(6367 +h))
Dividing by the earth's radius and taking the cosine, we have ...
cos(32/6367) = 6367/(6367 +h)
h = 6367 -6367/cos(32/6367) ≈ 6367.0804 -6367 = 0.0804 . . . km
The cliffs must be about 80.4 meters high for it to be possible to see that distance.
In the school store, all markups are 25%. If the store paid $12 for a t-shirt, what is the selling price?
Answer:
$15
Step-by-step explanation:
The reading of a scale at one end is 3.5 cm and at the other end is 18.5 cm. Calculate the lengths of the needle
Answer:
15 cm
Step-by-step explanation:
Given that :
Reading at one end, initial reading = 3.5 cm
Reading at the other end, final reading = 18.5 cm
Length of needle :
Final Reading - Initial reading
18.5cm - 3.5cm
= 15cm
What is the area of the following circle?
Answer:
78.53
Step-by-step explanation:
[tex]\pi[/tex] x [tex]5^{2}[/tex]
Answer:
78.5
Step-by-step explanation:
The formula for the area of a circle is A=πr^2. The radius, (r) is half of the diameter. The diameter of this circle is 10 in, so the radius is 5 in. Plug 5 into the formula A=πr^2 to get A=π5^2. Square 5 to get 25 and plug it back in the formula to have A=25π. Multiply pi (π, 3.14) by 25 to get 78.5.
Find the cost of 4.8 kilograms of potatoes at the price of $0.75 a
kilogram?
Answer: $3.60
Step-by-step explanation:
If you need 4.8 kilograms of potatoes and each kilograms costs $0.75, then we should multiply 0.75 by 4.8 to find the cost of 4.8 kilograms of potatoes.
4.8 x 0.75 = 3.6.
Therefore, the cost of 4.8 kilograms is $3.60 dollars. I hope this helps, and good luck!
The number of peach trees in the orchard is directly proportional to
the number of apple trees. When Farmer Bob planted 40 peach
trees, he planted 120 apple trees. Everything was killed in the
drought and he's starting anew. How many apple trees will he
need to plant if he plants 500 peach trees?
Answer:
there was a difference between the 40 and 120 which was 80 so if there are 500 peach trees he would need to plant 580 because you add the difference to the total. The answer is 580 apple trees
Step-by-step explanation:
plz mark brainliest
A ______ is a set of two or more equations that have the same variables
- table
- system of equations
- solution of a system
- elimination method
Answer:
system of equations
Answer:
System Of Equations
Step-by-step explanation:
How do I simplify this?
Answer:
sorry
Step-by-step explanation:
A researcher measured approximately 0.005123 grams of bacteria in a sample. How is this number expressed in scientific notation?
Answer:
5.123 × 10-3
m × 10n, where m is a number between 1 and 10 ( 1 ≤ |m| < 10 ) and the exponent n is a positive or negative integer.
I hope this helps.. :D
Maria will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $57.98 and costs an additional $0.15 per mile driven. The second plan has an initial fee of $43.98 and costs an additional $0.20 per mile driven. How many miles would Maria need to drive for the two plans to cost the same?
Which value is not a solution of the inequality -x + 5 < 7? Select all
A. 5
B.7
C. -1
D.-3
E. 10
F.-12
G. 1
H. -5
Answer:
-3
-12
-5
Step-by-step explanation:
A negative number with another negative symbol put onto it is positive because both negative symbols cancel each other out
So -(-3) = 3
-(-12) = 12
-(-5) = 5
Use elimination to solve for x and y:
5x + 4y = 23
x - 4y = - 5
O (3, 2)
O (2,3)
0 (7. – 3)
0 (7,3)
Answer:
x=3, y=2
Step-by-step explanation:
PLEASE HELP ME ILL MARK U BRAINLIEST :)
Answer:
c. 23 packages
Calculate the volume of this prism.
4 cm
10 cm
5 cm
8 cm
12 cm
Ali has invited 18 adults and 6 children to a cookout.
Mo, Ali’s best friend, suggests that Ali seat an equal number of adults and an equal number of children at each table.
What is the greatest number of tables Ali could use? How many adults and how many children would be seated at each table? Explain.
Answer:
Ali could use 6 tables. There would be 3 adults
and 1 child seated at each table.
Step-by-step explanation:
GCF to find the number of tables:
18: 1, 2, 3, 6 , 9, 18;
6: 1, 2, 3, 6 .
Albert Einstein primarily immigrated to the United States because he
Answer: Einstein primarily emigrated to the United States because he had a Jewish background, and Adolf Hitler, who became Germany's chancellor in 1932, was about to adopt Anti-Semitic policies.
Hope this helps!!
Sorry if it's incorrect!!
Have a nice day!!
c on edge
wanted to avoid being a victim of anti-semitism
Solve the inequality.
[tex]$\frac{2}{7}\ \textgreater \ b+\frac{5}{7}$[/tex]
Please help me with my math homework. I don’t understand it
Expert Checked
Me too there's no math problem...
Things you could try to fix this:
Try asking your teacher what is the work?
Try searching or contacting main educator on your work files.
Figure out what your teacher told you
Try calling the school or teacher.
Etc.
PLEASE HELP ME WITH THIS!!!
Answer:
64 yd
Step-by-step explanation:
[tex]\frac{x}{40} =\frac{32}{20} \\x=\frac{32}{20} \times 40=64 yd[/tex]
Find the equation of a line that passes through the points (-1,3) and (3,-5).
Leave your answer in the form y = mx + c
Please help me I need to know in the next 10 mins
Answer:
i'm pretty sure that it's y=-2x+1
Step-by-step explanation:
first we solve for the slope of the line:
we have the points (-1,3) and (3,-5). So we write an equation like so:
3 - -5
-1 - 3
3/-1 - -5/3. solving that, you get 8/-4, and 8 divided by -4 is -2, so thats our slope.
now all we've got to do is get the y intercept. the way i found it was i graphed the line, put a dot on the points that we have ( (-1,3) and (3,-5) ) and you should
get 1 as the point on the y axis. again, i myself am not a pro or anything so if its not the correct answer i am so sorry. <3
Jack chooses two numbers between 50 and 150
The two numbers have a Lowest Common Multiple (LCM) of 420
They have a Highest Common Factor (HCF) of 28
Work out what the two numbers are.
Answer:
84 and 140
Step-by-step explanation:
Jack chooses two numbers between 50 and 150
The two numbers have a Lowest Common Multiple (LCM) of 420
Factors of 420 between 50 to 150
= 60, 70, 84, 105, 140
We are also told that:
They have a Highest Common Factor (HCF) of 28
Hence, we find out of the factors above, which numbers can be divided by 28 without having any remainder.
60/28 = 2.1428571429
70/28 = 2.5
84/28 = 3
105/28 = 3.75
140/28 = 5
Therefore, the two numbers are
84 and 140
The cost of renting a speedboat can be represented by the expression 50x + 250, where x is the number of hours it is rented. Factor the expression 50x + 250
Answer:
50(x+5)
Step-by-step explanation:
Answer: 50(x+5)
Step-by-step explanation:
To factor this expression, simply find the GCF of 50 and 250, 50. Then divide both terms by the GCF(50) to get: 50(x+5)
Hope it helps <3 :D
Find the solution to the system of equations. Write the solution as an ordered pair. 3x+2y=-7 and 5x-3y=20
Answer:
(1,-5)
Step-by-step explanation:
Lee joins a club. The registration fee is $100 and it also has a $30 a month fee. Write a linear equation to represent this situation.
Answer:
Y = 30x + 100
Step-by-step explanation:
Hope this helps. Pls give brainliest.
what is the value of the expression shown 1/2 (6.2 - 0.04)
Answer:
3.08
Step-by-step explanation:
1/2(6.2-0.04)
1/2(6.16)
6.16/2
3.08
What is the correct answer for the mathematics equation 9 + 10 = is that to simple or too hard to answer
What is the correct answer for the mathematics equation 9 + 10 = is that to simple or too hard to answer
9 + 10 would = 19
I hope this helps~