Answer:
x= 2, y= 1
Step-by-step explanation:
3x -y= 5 -----(1)
-x +y= -1 -----(2)
(1) +(2):
3x -y -x +y= 5 -1
2x= 4
Divide both sides by 2:
x= 4 ÷2
x= 2
Substitute x= 2 into (2):
-2 +y= -1
y= -1 +2
y= 1
This is a list of ingredients for making a cake for 8 people.
Ingredients for 8 people
200 g flour
190 ml cream
60ml milk
4 eggs
Work out the amount of each ingredient needed to make a cake for 4 people
Answer:
100g flour
95ml cream
30ml milk
2eggs
Step-by-step explanation:
You just half them all
What is the total surface area of a cylinder with a diameter of 10.8 and a height of 2.6?
Answer:
271.433606 (in, cm, or whichever unit)
Step-by-step explanation:
To find the areas of the ends of the cylinder, the circles, you would use the formula:
2(π * r²)
The diameter is twice the length of the radius so to find the radius, you would divide the length of the diameter in half. So with a diameter of 10.8 units, it would become 5.4 units.
2(π * 5.4²) = 183.217684
To find the surface area of the rectangle of the cylinder, you would multiply the circumference of the base of the cylinder by the height. The formula to find the circumference is 2πr. The circumference would be 33.9292007 units. 33.9292007 * 2.6 = 88.2159218.
Then add the areas to find the total.
183.217684 + 88.2159218 = 271.433606
A ship leaves a port and travels 21km on a bearing of 32 and then 45km on a bearing of 287 calculate its distance from the port and the bearing of the port from the ship
Answer:
44.5 km on a bearing of 134.1°
Step-by-step explanation:
A suitable vector calculator will tell you the location of the ship from port is ...
21∠32° +45∠287° = 44.5∠-45.9°
The bearing of the port is in the reverse direction, so 180° added to this:
180° +(-45.9°) = 134.1°
The distance from port is 44.5 km. The bearing of the port is 134.1°.
_____
Additional comment
The distance from port is perhaps most easily found using the Law of Cosines. It is the third side of a triangle with sides 21 and 45. The included angle is (287° -(180° +32°)) = 75°. The distance is then ...
c = √(a² +b² -2ab·cos(C)) = √(21² +45² -2·21·45·cos(75°)) ≈ √1976.83
≈ 44.5 km
The angle between the 32° bearing and the bearing from the port to the ship can be found using the Law of Sines.
B = arcsin(b/c·sin(C)) = arcsin(45/44.5sin(75°)) ≈ 77.9°
so, the bearing angle from the ship to the port is ...
180° +(32° -77.9°) = 134.1°
__
Bearings are measured clockwise from north. A diagram can be helpful.
divide £64 in the ratio 3:5
Answer:
64/1 . 5/3
320/3
106.666666?
Answer:
£24 and £40
Step-by-step explanation:
To divide into the ratio of 3:5, we can start by dividing into 8 parts - as 3+5=8, then do 3 parts and 5 parts to achieve the ratio.
£64 / 8 = £8
3 * £8 = £24
5 * £8 = £40
some one please
change the subject to x
a+b/x=r
Answer:
X = b(r - a)
Step-by-step explanation:
b/x = r - a
X = b( r - a)
Help me please!! it's due today
Answer:
the answer would be 14-16=-2
Step-by-step explanation:
first u look where the first long arrow goes on this problem then you follow the second arrow which stops at 6 then u count how much until negative 2. but how I did it is the form 14 how much to 0 which is 14 the I count how many until I get to -2 and there's the answer
Suppose a candy bar weighs ounces. How much does a pack of bars weigh?
Answer: it ways ounces?????????????
Step-by-step explanation:
I need help with this, it's due today. *i'll give brainliest if you answer all of them*
Answer:
1. x = 13
2. a = 15
3. y = 3
4. g = -24
5. z = 5.57
6. h = 7.5
7. b = 5.8
8. w = -4.5
13. 29 chapters
14. 23.7 pounds
Step-by-step explanation:
hope this helps! :D
Slope of parallel and perpendicular lines
Answer:
-1
Step-by-step explanation:
They already did the opposite reciprocal for you.
They have it in the form now.
To find b you just enter (x,y)=(8,1).
Let's do that.
Subtract 2 on both sides:
b=-1
Could someone help me with these all these questions below
And no file please.
Use the information below to answer the questions:
Hastings 45 km Dover 108 km
Brighton 22 km Coventry 209 km
London 77 km Birmingham 172 km
1. How far is Hastings to the nearest 10 km?
2. How far is Brighton to the nearest 10km?
3. How far is London to the nearest 100km?
4. How far is Dover to the nearest 100km?
5. Approximately how far would you travel if you drive to London and then to Coventry?
6. Approximately how far would you have travel if you drive to Brighton, London and then Birmingham?
Answer:
1. 50km 2. 20 3. 100km 4. 100 5. 300 (rounded to the 100's) or 290 (rounded to the 10's) 6. 270 (to the nearest 10's) 300 (to the nearest 100's)
Step-by-step explanation:
1.
45
5=>5
Answer 50
2.
22
2<5
Answer 20
3.
77
7>5
Answer 100
4.
108
0<5
Answer 100
5.
Answer 300 or 290
(Based on the answer above)
6.
300 or 270
(Based on the answer above)
I need help i have no clue what to do!
Answer:
-2x-6y= -14 (i)
-6x-2y= -26 (ii)
Multiply eq (i) by 3
-6x-18y= -42 (iii)
-6x-2y= -26 (ii)
Subtract eq (iii) from ii
-6x -18y = -42
+6x+2y = +26
_______________
0 - 16y = -16
●y= 1
Put y =1 in eq 1
-2x -6 (1) = -14
-2x = -14 + 6
-2x = -8
●x =4
x=4 y=1
BRAINLIST PLS
the total surface area of an cube is 294cm2 work out the volume of the cube
Answer:
343 cm³
Step-by-step explanation:
V = 343 cm³
Surface A = 294 cm²
Suppose that $2000 is placed in an account that pays 2% interest compounded each year. Assume that no withdrawals are made from the account.
The amount in the account after 1 year is $2,040.00
The amount in the account after 2 years is $2,080.80
What is future value of a single cash flow?
The future value of a single cash flow like the $2,000 is the future equivalent worth of the initial amount when interest earned is added to it.
The future value in this case can be determined as shown thus:
FV=PV*(1+r)^N
FV=unknown future value
PV=initial investment=$2000
r=interest rate=2%
N=years of investment , 1 and 2 years respectively
FV after one year:
FV=$2000*(1+2%)^1
FV=$2,040.00
FV after two years:
FV=$2000*(1+2%)^2
FV=$2,080.80
Find out more about future value on:https://brainly.com/question/25545513
#SPJ1
Full question:
Suppose that $2000 is placed in an account that pays 2 % interest compounded each year. Assume that no withdrawals are made from the account.
Find the amount after one year. Find the amount after two years
I need help with both A and B please I will give brainliest
Answer:
You have A correct and I think B, is the second one
Step-by-step explanation:
You already have A correct as I solved the problem quickly (if you want a explanation I can give one) then the second one for B makes sense as it explains the same problem that was correct on question A. If you want more of a explanation I can give one
helpppppp mememeememememememememeemem
Answer:
Step-by-step explanation:
1.
area of triangle=1/2×12×5=30 in²
2.
obtuse scalene triangle.
Answer:
Step-by-step explanation:
1/2×12×5=30 in²
obtuse scalene triangle
(Pythagorean theorem) find the missing side length. Round to the nearest hundredth (show steps)
Answer:
9.09
Step-by-step explanation:
Pythagorean Theorem: a² + b² = c²
When looking at the triangle we see that we have the hypotenuse and the opposite side.
a = opposite
b = adjacent
c = hypotenuse (always)
So if we plug those numbers into the equation we can get the missing side length
1) a² + b² = c²
2) 9.7² + b² = 13.3²
3) b² = 13.3² - 9.7²
4) b² = 176.89 - 94.09
5) b = [tex]\sqrt{176.89 - 94.09}[/tex]
6) b = 9.093954036
Now we round to nearest hundredth
To find the nearest hundredth we have to look at the thousandth place in the thousandth place we have 3 (9.093) that rounds down so,
b = 9.09
Write a simplified expression for the perimeter of the triangle.
6x - 1, 5x + 6, 9
Perimeter : __ Units
Answer:
6973 t u 6hud3w. don't knoow
Answer:
the answer is 11x+14
Step-by-step explanation:
(h[tex]2[/tex] b[tex]\2[/tex])/2
f(x)={x+4….
for f(x)
Answer:
3f=5
Step-by-step explanation:
f(x) = x+4
3f=4x
x<5
5<_x<7
7<_x<_10
(04.01 MC) Which set of points includes all of the solutions for y = negative four fifths times x plus two?line going through 0 comma 2 and 5 comma negative 2 Group of answer choices (15, 10), (0, 2), and (−10, 10) (−10, 10), (−5, 6), (0, 2), (5, −2), (10, −6) (x, y) for all real numbers (x, negative four fifths times x plus two) for all real numbers
The solutions of a function are the true values of the function
The solutions are: (0,2), (5,-2), (-10, 10) and (-5,6)
The function is given as:
[tex]\mathbf{y = -\frac 45 x + 2}[/tex]
From the question, we understand that the line of the equation passes through points (0,2) and (5,-2)
This means that:
(0,2) and (5,-2) are solutions of the equation
Other possible solutions include (-10, 10) and (-5,6)
This is true because, when these values are substituted in the equation, the result of the equation is true
Hence, the true options are:
(0,2), (5,-2), (-10, 10) and (-5,6)
Read more about solutions of equations at:
https://brainly.com/question/545403
write a quadratic equation for the points (2,0) and (12,5). make sure to include the axis and five points used to graph the parabola
Using the Factor Theorem, the parabola is given by: [tex]f(x) = 0.05(x^2 - 4x + 4)[/tex]
The graph is sketched at the end of this answer.
The Factor Theorem states that a polynomial function with roots is given by:
[tex]f(x) = a(x - x_1)(x - x_2) \cdots (x - x_n)[/tex]
In which a is the leading coefficient.
In this problem:
The graph is a parabola, which means that the function is of the 2nd degree.One zero, with multiplicity 2, at [tex]x = 2[/tex], hence, [tex]x_1 = x_2 = 2[/tex].Then:
[tex]f(x) = a(x - 2)(x - 2)[/tex]
[tex]f(x) = a(x^2 - 4x + 4)[/tex]
Point (12,5) means that when [tex]x = 12, y = 5[/tex], and this is used to find a.
[tex]f(x) = a(x^2 - 4x + 4)[/tex]
[tex]5 = a(12^2 - 4(12) + 4)[/tex]
[tex]100a = 5[/tex]
[tex]a = \frac{5}{100}[/tex]
[tex]a = 0.05[/tex]
Hence, the parabola is:
[tex]f(x) = 0.05(x^2 - 4x + 4)[/tex]
At the end of this answer, the graph with five points is sketched.
A similar problem is given at https://brainly.com/question/24380382
simultaneous equations!!
solve the following pair of equations for x and y:
y + 4x = 27
xy + x = 40
A sum of Rs. 18750 is left by will by a father to be divided between two sons, 12 and 14 years of age. so that when they attain maturity at 18, the amount received by each of them at 5 percent simple interest will be the same. Find the sum allotted at present to each son?
A) Rs. 9500, Rs. 9250
B) Rs. 8000, Rs. 1750
C) Rs. 9000, Rs. 9750
D) R.s 10000, Rs. 9750
Answer:
C) Rs. 9000, Rs. 9750Step-by-step explanation:
Let the sum allotted is x and 18750 - x.
Interest rate is 5%.
The interest amount is:
(18 - 12)*5% = 30% and(18 - 14)*5% = 20%We have equation below to compare final amounts:
x + 30% = (18750 - x) + 20%1.3x = 1.2(18750 - x)1.3x = 22500 - 1.2x1.3x + 1.2x = 225002.5x = 22500x = 22500/2.5x = 9000Correct choice is C
Simplify the expression. -8n - 2n
Answer:
-10n
Step-by-step explanation:
To simplify, you add like terms so by looking at the problem you can see the 8 and the 2 both have an n after, so you can combine them.
so negative 8 minus 2 = -10 and since there are like terms you add the n making the answer -10n
If it was -8n -2 you could not simplify it since the 2 is single and without the same letter
Same with -8n - 2p because it is not the same letter
The tape diagram below represents 100%.
100%
?
What percent is represented by the shaded area?
%
Answer:
60% is the answer also give me brainliest plss
PLEASE ANSWER THIS AS SOON AS POSSIBLE AND CORRECTLY
This table represents the number of inches, n, a plant grows after m, months in a new pot.
When graphed, all of the points in the table lie on the same line.
Months, m Plant height in inches, n
0 2
2 4
4 6
6 8
What are the slope and y-intercept of the line?
Question 1 options:
Slope = 2, y-Intercept = -4
Slope = -2, y-Intercept = -4
Slope = 1, y-Intercept = 2
Slope = -1, y-Intercept = 2
Answer:
Y-Intercept would be 2, Slope would be 1
Step-by-step explanation:
What is the point slope and slope intercept of this graph below
Answer:
Line is y = -3x + 3
Slope = -3
y-intercept = 3
Step-by-step explanation:
Slope is the movement up or down, and left or right. Y-intercept is the point in which the line crosses the y-axis. In slope-intercept form (y=mx+b), m represents the slope, while b represents the y-intercept.
So since the line crosses the y-axis at positive 3, that will be the y-intercept. Now if we go from that very same point, and do rise/run, we'd move downwards 3 units and to the right 1 unit, to get our slope of -3/1 (it's written as just -3 though).
So now we plug it in: y = -3x + 3
Hope this helps you :)
solve pls brainliest
Answer:2 3/4 for mixed 11/4 for improper
Step-by-step explanation:
Gabriel deposits $250 into his savings account when he first opens the account. he then deposits $40 every month after that. how much money will he have after 9 months?
Answer:
610
Step-by-step explanation:
Multiply the monthly $40 by the 9 months
(40 times 9 = 360)
Then you would need to add in the original $250 deposit money
(360 + 250 = 610)
5x + 7y = 5 10x + 14y = 10 solve by elimination
The answer is:
x= 46/5
y= 5/7
Can you explain how to solve this problem, already know the answer
So, the slope is -3/5, and the y axis is unidentified.
A point is located at (6,-5). We will use this point.
In order to get the y-axis, we will use 5 from the slope because the denominator allows us to move left and right.
We will also use 6 from the point to give us a dot in the x-coordinate.
We will then divide 5 from the 6 to give us how much we have to go up or down
6/5
We will then use the -3 in the slope.
We will times -3 to the 6/5 in order to know how much we have go up or down.
-18/5 + 5 (from the point)((and since we are moving back, we will add a negative) (My problem))= 1 2/5 (y-intercept)
y = -3/5x + 1 2/5
The y = 13, we will plug it in the equation.
13 = -3/5x + 1 2/5 (subtract 1 2/5 on both sides)
11 3/5 = -3/5x (times 5 on both sides)
-3x = 58 (divide -3 on both sides)
x = -58/3