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:
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The Math problem is called "Multiply Imaginary Numbers'
How do you solve
(−10√3)(7√−10)
Answer:
-700√3 √-
Step-by-step explanation
(-10√3) (7√-10)
Remove the parentheses
-10√3 * 7√- * 10
Multiply numbers: 10*7*10=700
Answer:
-700√3 √-
Write the equation for "25 more than a number x is the same as 44"
Answer:
25 + x = 44
Step-by-step explanation:
Substitute the words with the math symbols.
25 more than a number x is the same as 44
more than means to +
is the same as means =
25 more than a number x is the same as 44
25 + x = 44
25 + x = 44
ILL MARK BRAINLIEST
Directions: Solve the following system of equations using substitution.
Show your complete steps and make sure to have your solution as (x, y).
y = 3x - 5
5x - 4y = -3
Two boats are on the water at points A and B, and a lighthouse is located at point C. The three points form a
triangle, where BC = 24 kilometers, m_A = 90°, and m_B=45°. Leaving your answer in simplified root form, what is the
distance between the boat at point A and the lighthouse?
Answer:
49
Step-by-step explanation:
i took the quiz and used brainly to check my awnser
8. Find the values of x and y. The diagram is not to scale.
50°
120/xº
Do
x = 120; y = 50
x = 60; y = 70
x = 60; y = 60
x = 80; y = 50
Answer:
A
Step-by-step explanation:
PLEASE HELP! this is due today! Brainlist for right answer!
Answer:
2550.5
Step-by-step explanation:
We have a circle and are asked to find the area.
We know the diameter already, but the formula to find area requires a raidus, which is unknown to us yet.
To find radius, all you need to do is follow [tex]\frac{d}{2}[/tex]. D being diameter.
D = 57.
[tex]\frac{57}{2}= 28.5[/tex]
The radius is 28.5, now do the formula of area.
[tex]A = \pi *r^2[/tex]
[tex]A = \pi *28.5^2[/tex]
[tex]28.5^2[/tex]
[tex]812.25[/tex]
[tex]A=\pi *812.25[/tex]
[tex]A=3.14 * 812.25[/tex]
[tex]A = 2550.465[/tex]
Now we need to round to the nearest tenths, since 6 is the knowledge that we round up, round up.
[tex]2550.5[/tex]
The perimeter of the rectangle is 28 units.
What is the value of w?
5 units
7 units
14 units
15 units
Answer:
5 units
Step-by-step explanation:
P= 2 (l + w) = 2 x (9 + 5) = 28
If 7 more boys join the Waverly Waves, how many girls should be added to the team in order to maintain the same ratio of boys to girls? Justify your answer.
I have 2 lines in this graph I need to know which line has a slope of one and which has a slope of 2
Answer:
what graph
Step-by-step explanation:
Question # 1 : If Question # 2 : How are lines, rays, and segments different? How are they the same?
Answer:
A line segment has two endpoints. It contains these endpoints and all the points of the line between them. A segment is named by its two endpoints. A ray is a part of a line that has one endpoint and goes on infinitely in only one direction. You cannot measure the length of a ray.
Step-by-step explanation:
why do systems of nonlinear equations sometimes have more than one solution
Answer:
System has equal number of unknowns and equations.
Manipulation easily yielded expressions for 4 of the 7 unknowns.
However it seems that the remaining 3 unknowns x,y,z are not fixed by the equations. Different combinations (x0,y0,z0) seem possible without violating the system equations.
Is this possible, or did I most probably make a mistake in counting degrees of freedom?
Step-by-step explanation:
Can someone please help me !
Answer: 14
Step-by-step explanation:
1.75x -2 + 1.75x -2 + 1.75x -2 =67.5
5.25x-6= 67.5
5.25x =73 .5
X = 14
Answer:
1.75x-2= -3.14
-3.14 x 1.75= -5.495 -2= -7.495
x=3.14
P=-22.485
Step-by-step explanation:
Solve the system below for x: (2 pts)
y = 6x + 4
y = 5x - 1
O X=-3
O X = -3/11
0 x = -5
x = -5/11
Answer:
x=-5
Step-by-step explanation:
6x+4=5x-1
x+4=-1
x=-5
y = 1/2x + 4
x - y = 8
*Substitution
Answer:
y=16, x=24
Step-by-step explanation:
First simplify: x-(1/2x+4)=8
Isolate x for 1/2x-4=8
Add 4 to both sides:
1/2-4+4=8+4
Simplify :1/2=12
Multiply both sides by 2:
2*1/2x=12*2
Simplify:
x=24
Substitute x=24:
y=1/2*24+4
1/2*24+4=16
1/2*24=12
12+4
Add the numbers: 12+4=16
y=16
The solutions to the systems of equations are:
y=16,x=24
Mark owns a personal training business. He makes a total of $500 for every 3 clients he acquires.
Answer:
166 per person
Step-by-step explanation:
500 divided by 3
A composite figure is divided into two congruent trapezoids, each with a height of 4 cm.
What is the area of this composite figure?
A. 32cm
B. 40cm
C. 64cm
D. 80cm
Answer:
the answer is C
Step-by-step explanation:
Please help, I will mark i brainliest
Answer:
Step-by-step explanation:
i think b because it is going across the 5 but i'm not sure.
HELP ILL GIVE BRAINLYIST
Answer:
560
Step-by-step Explanation
Since, 476 students make 85%.
Therefore, let x students will make 100%.
[tex] \frac{476}{85} = \frac{x}{100} \\ \\ x = \frac{476 \times 100}{85} \\ \\ x = \frac{47600}{85} \\ \\ x = {560} [/tex]
PLZ HELP ME!!!
Why is it important to understand how variables work, inequalities, and basic awareness of exponents before starting algebra?
Answer:
It is important because they are the basics of algebra. Almost every algebraic problem you will ever solve is based on these fundamental properties. In equations, we almost never know every part of it so we will need variables to substitute the unknown amount in an equation. Variables are used for basically every equation/problem in algebra. Inequalities are not as important as variables but are still really important. Inequalities are basically comparing numbers. And in algebra when they add variables into an inequality, the inequality will help lower the number of possible values of said variable. And exponents are just a basic operation in algebra. Just like learning addition and subtraction. It is like a quicker and less complicated way of multiplying numbers.
A recipe for a cake calls for 3 cups of water. Elisa accidentally put in 6 cups. How many extra cups did she put in? What equation would depict this scenario?
c-3=6
c-6=3
c+3=6
c+6=3
Answer:
1.Elisa accidentally put in 3 extra cups of water
2.C+3=6
can someone please help me with number 5?!
Answer:
FLIP BRO I DO NOT CARE AT ALL
Step-by-step explanation:
The local movie theater wants to increase ticket prices by 37% to keep up
with rising costs. The current price of a ticket is $8. What will the new ticket price
pe after the 37% increase (to the nearest cent)? Show your work.
Answer:
$10.96
Step-by-step explanation:
8 * 1.37 = $10.96
Double check the work
8x .37 = 2.96
8+2.96 = 10.96
614 divided by 15??????????
Answer:
122.8 brainliest plzzz
Step-by-step explanation:
Answer:
040
1 5 6 1 4
− 0
6 1
− 6 0
1 4
− 0
1 4
Step-by-step explanation:
40 reminder 14 is the answer
To write a percent as a decimal, _____.
Answer:
To convert from a percent to a decimal, divide by 100 (and remove the "%" sign). To convert from a percentage to a decimal, divide by 100 (and remove the "%" sign).
Step-by-step explanation:
To write a percent as a decimal, divide by 100 and remove the %
Find the coordinates of the vertex of the following parabola using graphing
technology. Write your answer as an (x,y) point.
y = x2 – 2x - 3
(X2) the 2 pose to be on the top right of x as in power to the 2
(1,-4)
build a table to plot the curve
y=x^2 - 2x - 3
x ¦ y
-2. 5
-1 0
0. -3
1. -4
2. -3
graph from desmos
Sam can type 20 words in 30 seconds how many words can he type in 90 seconds
Answer:
60
Step-by-step explanation:
90 divided by 30 is 3, so you would multiply 20 by 3 to get your answer of 60.
Hope this helps :)
Answer:
He can type about 51 words in 90 seconds because...
Use proportion!
7x = 360
X = 51 3/7
X is ABOUT 51
6 A rectangular room is 2 m longer than it is
wide. Its perimeter is 70 m. If the width of
the room is w m, express its length in terms
of zo. Hence find the width of the room.
Answer:
W = 16.5 meters
Step-by-step explanation:
let w be the width and then the length is w+2
Perimeter = 70 = 2w + 2(w+2)
70 = 2w + 2w + 4
4w = 66
w = 16.5 meters
Simplify:
5-4 (-2b -7) *
1 ( -2b -7) = -2b -7
-2b = 7
b = - 7/2
Can somebody help me?
Answer:
The last two
Step-by-step explanation:
x= 0.6·25
60/100= x/25
Karla rode her bicycle 135 miles in 9 weeks, riding the same distance each week. Brad rode his bicycle 102 miles in 6 weeks, riding the same distance each week. Which statement correctly compares the number of miles per week they rode?