Answer:
Let's define:
G = cost of a goat
S = cost of a sheep.
We know that the total cost for a goat and a sheep is £120, then:
S + G = £120
And the cost of the goat is twice the price of the sheep, then:
G = 2*S
To solve this system, we can just replace the second equation into the first one, then we get:
S + (2*S) = £120
3*S = £120
S = £120/3 = £40
This means that each sheep costs £40
And the cost of a goat is:
G = 2* £40 = £80.
Now we know that he sold both of them, where:
s = price of the sheep
g = price of the goat.
We know that he sold both of them for £180, then:
s + g = £180
And the profit of the sheep is twice the profit of the goat, then:
(s - S) = 2*(g - G)
(s - £40) = 2*(g - £80)
s - £40 = 2*g - £160
Then we have a system of equations:
s + g = £180
s - £40 = 2*g - £160
To solve this, we first could isolate g in the first equation:
g = £180 - s
Replacing this in the other equation we get:
s - £40 = 2*( £180 - s) - £160
s - £40 = £360 - 2*s - £160
s - £40 = £200 - 2*s
s + 2*s = £200 - £40 = £160
3*s = £160
s = £160/3 = £53.33
Then the percentage profit for the sheep is:
percentage profit = (s/S)*100% = (£53.33/£40)*100% = 133.3%
Then the percentae profit is 33.3%, which means that the sheep was sold at 133.3% of its original cost, leaving a profit of 33.3% of its original cost.
the area of a triangle is 12 cm squared. If the base of the triangle is 4 cm what is the height
Answer:
6 cm
Step-by-step explanation:
LAST QUESTION PLS HELP. (It's not solve for x)
Answer:
40
Step-by-step explanation:
So, if the angle shown, one of them is 70. the other is 110, because line is 180 degress, 180-70 = 110. C is 110. But, we need to find B. 13x + 6 must also be 70 degrees. 70-6 = 64. 64/13 = about 5. A is 100. The inner angles are 70+70+N. Angles in triangle are 180, so N is 180-70-70, which is 180-140. The B is 40 degrees.
Answer:
m∠ABC = 26°
Step-by-step explanation:
13x+6 + 8+3x + 70 = 180
16x + 84 = 180
16x = 96
x = 6
m∠B = 8+3(6) = 26°
plz help me with these questions tomorrow is my exam and i need to practice them
Answer:
good luck !!!!!!!
hope this help for you !!!!!
24xy-xy^3+x^2 find the degree plz
Answer:
4
Step-by-step explanation:
24xy---> 2
-xy3--->4
x2--->2
I need help with this
9514 1404 393
Answer:
pyramidprismprismpyramidprismStep-by-step explanation:
A triangular prism will have exactly 2 triangular sides (bases).
A triangular pyramid will have at least 3 triangular faces.
Count the triangles and classify accordingly.
Left to right, the number of triangles is ...
4, 2, 2, 4, 2
The figures with 4 triangles are pyramids; the others are triangular prisms.
HELPPP
A. 9
B. 20
C. 16
D. 4
Answer:
C 16
Step-by-step explanation:
Using ratios
3:12
12/3=4
4:x
4*4=16
x=16
4:16
hope this helps:)
What is the length of arc S shown below?
Enter an exact expression.
SA
21
MY
S
4
2 cm
Pro
PO
The angle in the figure is a central angle in radians.
Answer: pi/2
Step-by-step explanation:
what is the slope between (5,0) and (6,0)
Answer:
m=0
Step-by-step explanation:
Please help! would really appreciate it.
Answer:
Step-by-step explanation:
Use Pythagorean theorem,
Base² + altitude² = hypotenuse²
15² + altitude² = 17²
225 + altitude² = 289
altitude² = 289 - 225
altitude² = 64
altitude² = 8²
altitude = √8²
altitude = 8
P = 8 + 15 + 17 = 40 units
[tex]A= \frac{1}{2}*base * height\\\\ = \frac{1}{2}* 15 * 8\\\\= 15 * 4\\\\= 60 sq. units[/tex]
HELP MATCHING EACH PROPORTION WITH ITS SOLUTION
no puedo ver el problema
Which expression is equivalent to 2 (a + 2 b) minus a minus 2 b? 3 a + 2 b 3 a minus 2 b a minus 2 b a + 2 b
Answer:
a + 2b
Step-by-step explanation:
Given the expression
2(a+2b) - a-2b
Open the bracket
2a+(2)2b- a-2b
2a+4b - a-2b
Collect the like terms
2a-a+4b-2b
a + 2b
Hence the equivalent expression is a + 2b
Answer:
d
Step-by-step explanation:
please help me this is all my grade!!!!
If P=(2,-1),find the image of P under the following rotation. 180 degrees counterclockwise about the origin
9514 1404 393
Answer:
(-2, 1)
Step-by-step explanation:
Rotating a point 180° about the origin in either direction is equivalent to reflecting it across the origin. The effect is to negate both coordinates.
(x, y) ⇒ (-x, -y) . . . . . rotation 180°
(2, -1) ⇒ (-2, 1) . . . . . P' rotated 180° from P
The coordinates of the rotated point are (-2, 1).
Helpp pleaseeeee and could u put an explanation of how you did it?
Answer: Option A
Step-by-step explanation:
To get from A to A', what is done?
A is at the point (2,6) and A' is at the point (2,-1)
The x value of the two points stayed constant (didn't change) meaning that options C and D are invalid (because those two are transformations to the x-value)
Now let us take a look at options A and B which both concern the y value
The y-value of A is 6 and A' is -1
To get from 6 to -1, do you
a) subtract 7
or b) = multiply by -1
Let us test it out:
a) 6 - 7 = -1 (yes, it equals -1)
b) 6 * -1 = -6 (no, it does not equal the intended value of -1)
Thus correct choice is A, we subtract 7
Kenny has $500 in a savings account. The interest rate is 4%, compounded annually.
To the nearest cent, how much will he have in 1 year?
Answer:
After one year Kenny will have $520.
Step-by-step explanation:
Answer:
$520
Step-by-step explanation:
500(0.04) = kenny's annual interest rate return= 20
500+20= total dollars kenny has in a year
4) Madison's mom wrote the names of every day of the week on separate pieces of paper. Then she put the papers
in a hat. Madison would have to clean her room on the day that she blindly picked from the hat. What is the
probability that Madison will clean her room on a day that starts with the letter T'?
Talib
Answer:
2/7
Step-by-step explanation:
There are 7 days in a week, and 2 days start with the letter T.
find the HCF and LCM of 150 and 225
Answer:
The LCM of 150 and 225 is 450.Steps to find LCM
Find the prime factorization of 150
150 = 2 × 3 × 5 × 5
Find the prime factorization of 225
225 = 3 × 3 × 5 × 5
Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the LCM:
LCM = 2 × 3 × 3 × 5 × 5
LCM = 450
Look at the methods to find the HCF (150, 225)HCF of 150 and 225 by Prime Factorization
HCF of 150 and 225 by Listing the Common Factors
Method 1: Find HCF of 150 and 225 by Prime Factorization
Represent 8 and 14 as a product of its prime factors.
Prime factorization of 150 is 2 × 3 × 5 × 5
Prime factorization of 225 is 3 × 3 × 5 × 5
The common factor in the prime factorization of 150 and 225 are 3, 5, and 5.
HCF is the product of the factors that are common to each of the given numbers.
So, HCF of 150 and 225 is 3 × 5 × 5 = 75
Method 2: Find HCF of 150 and 225 by Listing the Common Factors
The factors of 150 and 225 are shown below.
Step-by-step explanation:
Hope it is helpful.....
Data yang sesuai dengan diagram dibawah ini adalah ...*
a. 123456
b. 24466633331111
c. 12345
d. 112222333334445
please help mee
Jawaban:
D. 1122223333334445Penjelasan dengan langkah-langkah:
Sumbu y = Frekuensi = berapa banyak pekerjaan
Sumbu x = Jenis Pekerjaan = pekerjaan nomor n
(maka)
Ada
2 buah pekerjaan nomor 1 = 11
4 buah pekerjaan nomor 2 = 2222
6 buah pekerjaan nomor 3 = 333333
3 buah pekerjaan nomor 4 = 444
1 buah pekerjaan nomor 5 = 5
maka hasilnya
1122223333334445 (d) ✅_____________
#Jenius - kexcvi
Nyasar soalnya brainly di indo lagi mode ujian haha
If 48X^2,64x^4 ,x 36x^2 are in proportion , find the value of x
Answer:
The value of x = 27
Step-by-step explanation:
Given:
48x² : 64x⁴ ::: x : 36x²
Find:
The value of x
Computation:
(a)(d) = (b)(c)
(48x²)(36x²) = (64x⁴)(x)
(1,728x⁴) = (64x⁵)
x = 27
The value of x = 27
Following are the solution to the given expression:
Given:
[tex]\to 48x^2 : 64x^4 :: x : 36x^2[/tex]
To Find:
x=?
Solution:
[tex]\to 48x^2 : 64x^4 :: x : 36x^2[/tex]
[tex]\to \frac{48x^2}{ 64x^4} =\frac{ x}{ 36x^2}\\\\[/tex]
cross multiply:
[tex]\to \frac{48x^2 \times 36x^2}{ 64x^4} =x\\\\\to x= \frac{48x^2 \times 36x^2}{ 64x^4} \\\\\to x= \frac{48 \times 36}{ 64} \\\\\to x= \frac{6 \times 9}{ 2} \\\\\to x= 3 \times 9\\\\\to x=27[/tex]
Therefore, the answer is "27".
Learn more:
brainly.com/question/12149603
simplify 4(q + 7) + 2
Answer:
The answer to this problem is 4q+30
What is the solution to the equation below?
14x=12
Answer:
Step-by-step explanation:
hello :
14x=12
x=12/14
x=6/7
Find the volume of the cylinder
[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Surface Areas and Volumes.
We know that , Volume of the cylinder = πr^2h
here, r = 5 units and h = 6 units,
hence we substitute it,
==> Volume = 3.14*(5)^2*(6)
==> Volume = 3.14*25*6
==> Volume = 471 units^3
Hence the volume of cylinder is 471 cubic units.
18% as a fraction in its simplest form
Answer:
9/50
Step-by-step explanation:
18% = 18/100
GCF of 18 and 100 = 2
(18 ÷ 2)/(100 ÷ 2)
9/(100 ÷ 2)
9/50
Six friends share 2 pumpkin pies equally. What fraction of a pumpkin pie does each friend get?
Answer:
1/3 of the pumpkin pie
Step-by-step explanation:
2 pies can equal 6 pieces, 3 pieces a pie
If their are 6 friends and 3 pieces a pie then then they will have a 1/3 of the pie each
1/3 times 6 equals 6/3, which equals 2 pies
Write an equation in slope-intercept form of the
line with slope -1/3 that contains the point (-3,-5).
John drove his car due east for 8 miles. He then turned south and drove 15 miles. How far was he from where he started?
Answer:
John was 17 miles away from where he started.
Step-by-step explanation:
The easiest approach to this problem is to draw it out (check the attached image). Going East and turning South is the same as drawing a line towards the right, and then down on the paper.
Using the Pythagorean Theorem, we know that the sum of the square of the legs (2 smallest sides of a right triangle) is equal to the square of the hypotenuse of that triangle. In other words, [tex]a^2 + b^2 = c^2[/tex].
So to solve this, work backwards:
[tex]8^{2}+15^{2} =c^{2}\\64 + 225 = c^{2}\\289 = c^{2}\\c = \sqrt{289}\\ c = 17[/tex]
The distance between the initial and final point will be 17 miles.
What is a Pythagoras theorem?The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.
This can be expressed as
H² = P² + B²
John drove his car due east for 8 miles.
He then turned south and drove 15 miles.
Then the distance between the initial and final point will be
H² = 8² + 15²
H² = 64 + 225
H² = 289
H = 17 miles
More about the Pythagoras theorem link is given below.
https://brainly.com/question/343682
#SPJ2
What is the value of x in the circle on the right?
18 percent of people in a city eligible to donate blood actually do. You randomly select four eligible blood donors and ask them if they donate blood. Complete parts (a) through (d) below.
Answer:
[tex]P(x = 1) = 0.3970[/tex]
[tex]P(x = 2) = 0.1307[/tex]
[tex]P(x = 3) = 0.0191[/tex]
[tex]P(x = 4) = 0.0011[/tex]
Step-by-step explanation:
Given
[tex]n =4[/tex]
[tex]p = 0.18[/tex]
Required
(a) - (d)
x | P(x)
0 | 0.452
1 |
2 |
3 |
4 |
To solve (a) to (d), we simply apply the following binomial probability formula
[tex]P(x) = ^nC_xp^x(1-p)^{n-x}[/tex]
Solving (a):
[tex]x = 1[/tex]
So, we have:
[tex]P(x = 1) = ^4C_1 * (0.18)^1 * (1-0.18)^{4-1}[/tex]
[tex]P(x = 1) = ^4C_1 * (0.18)^1 * (1-0.18)^{4-1}[/tex]
[tex]P(x = 1) = 4 * (0.18)^1 * (1-0.18)^3[/tex]
[tex]P(x = 1) = 0.3970[/tex]
Solving (b):
[tex]x = 2[/tex]
So, we have:
[tex]P(x = 2) = ^4C_2 * (0.18)^2 * (1-0.18)^{4-2}[/tex]
[tex]P(x = 2) = 6 * (0.18)^2 * (1-0.18)^2[/tex]
[tex]P(x = 2) = 0.1307[/tex]
Solving (c):
[tex]x = 3[/tex]
So, we have:
[tex]P(x = 3) = ^4C_3 * (0.18)^3 * (1-0.18)^{4-3}[/tex]
[tex]P(x = 3) = 4 * (0.18)^3 * (1-0.18)^1[/tex]
[tex]P(x = 3) = 0.0191[/tex]
Solving (d)
[tex]x = 4[/tex]
So, we have:
[tex]P(x = 4) = ^4C_4 * (0.18)^4 * (1 - 0.18)^{4-4}[/tex]
[tex]P(x = 4) = 1 * (0.18)^4 * (1 - 0.18)^0[/tex]
[tex]P(x = 4) = 0.0011[/tex]
can anyone please help and tell me what the answer to this question is?
Answer: what question?
Hillside middle school chorus is giving a concert in the cafeteria