Answer:
Number of ducks in paddock = 36
Number of sheep in paddock = 6
Step-by-step explanation:
Let d be the number of ducks and s be the number of sheep
Then according to given statements, the equations will be:
[tex]d+s = 42\ \ \ Eqn\ 1\\2d+4s = 96\ \ \ Eqn\ 2[/tex]
For elimination, multiplying equation 1 by 2 and then subtracting from equation 2:
[tex]2(d+s) = 2*42\\2d+2s = 84\\Subtraction:\\2d+4s-(2d+2s) = 96-84\\2d+4s-2d-2s = 12\\2s = 12\\\frac{2s}{2} = \frac{12}{2}\\s = 6[/tex]
Putting s = 6 in equation 1:
[tex]d+6 = 42\\d = 42-6\\d = 36[/tex]
Hence,
Number of ducks in paddock = 36
Number of sheep in paddock = 6
Number of sheep and Number of duck are 6 and 36
Elimination method:Given that;
Number of total heads = 42
Number of total feet = 96
Find:
Number of ducks and sheep
Computation:
Number of legs in 1 sheep = 4
Number of legs in 1 duck = 2
So,
Assume;
Number of sheep = a
Number of duck = b
So,
a + b = 42 ...... Eq1
4a + 2b = 96 ......... Eq2
Eq2 / 2
2a + b = 48..... Eq3
From Eq 3 and Eq1
a = 6
So,
b = 36
Number of sheep = 6
Number of duck = 36
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CAN I HAVE SOME HELP!!!!
Answer:
I believe is C
if not I'm sorry.
Answer ASAP for brainly
Answer:
2
Step-by-step-
It would equal both the numbers combined
Explain how to use multiplication to divide a whole number by a fraction.
Answer:
You are multiplying the whole number with the reciprocal of the fraction.
Step-by-step explanation:
To divide a whole number by fraction.
You are taking X which is a whole number over the fraction.
its the same as taking x and multiplying it by the reciprocal of the fraction
So if you have 5 divided by 1/2, it's the same as saying 5 times 2/1.
Doug left $3 as a tip on a lunch bill of $14.
Which proportion can be used to find the percent tip Doug left?
A) 3/14 = n/100
B) 14/3 = n/100
C) 14/n = 3/100
D) n/14 = 3/100
Answer:
a)
Step-by-step explanation:
A rectangular vegetable garden has a length that is 3 times its width. The perimeter of the garden is 90 feet. What is the width of the garden. Write an algebraic equation and solve
Answer:
30 thats easy bro divide 90 by 3
Step-by-step explanation:
Answer:
the answer will be 30 so divide 90×3
Which equation has a solution of X=
13?
O
X+ 3 = 10
O x-10=3
* = 26
Ox+12= 1
Answer:
x-10=3
x+10-10=3+10
x=13
Answer:
x - 10 = 3
Step-by-step explanation:
x - 10 = 3
Add 10 to both sides
x - 10 + 10 = 3 + 10
x = 13
Which expression can be modeled using the number line?
Answer:
Expression that can be modeled using the number line is 7 over 10 divided by 1 over 10
Step-by-step explanation:
Arrow starts from 0 then it goes to 1/10 then to 2/10 then to 3/10 then to 4/10 then to 5/10 then to 6/10 then to 7/10.
Which implies 7/10 is divided into 7 equal parts of the equal length of 1/10 units.
Hope this helps you :)
Which statement is false?
O A. Every integer is also a rational number.
O B. Every rational number is also an integer.
O C. Every irrational number is also real.
O D. No rational number is irrational.
Help ASAP plz
3. Solve by graphing. (y=mx + b)
y=-x+10
x+y=10
What is the solution and also solve using algebra
Answer: Im sorry im bad at mafs
Step-by-step explanation:
Point D is the center of dilation. Line segment S U is dilated to created line segment S prime U prime. The length of Q S is 4 and the length of Q U is 5. The length of S S prime is 4 and the length of U U prime is 5. Line segment SU is dilated to create S'U' using point Q as the center of dilation. The scale factor of the dilation is .
Answer:
the answer is 2
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
edge2021
What is the 13th square number?
Answer:
169
Step-by-step explanation:
hope this will help you
Find the lines slope and a point on the line of y-1=-3/2(x+3)
Answer:
y= −3 /2 x+ −7 /2
slope= -3/2
Step-by-step explanation:
y−1= −3 /2 (x+3)
y= −3 /2 x+ −7 /2
according to y=mx+b slope intercept form
-3/2 is the slope
What is -2 >_ 7x + 5
Answer:
x≤−1
Step-by-step explanation:
Can someone help me with all these? .
HELP ME ASAP REALLY NEED HELP
Answer:
it is B
Step-by-step explanation:
y intercept is -3 and you go up 3 over 4
a relationship between x and y is defined by the equation y=3x +1/2 which statements are true of this relationship? Select all that apply
The relationship is linear
The graph of the relationship is a curved line
The relationship is nonlinear
In the equation, y is a function of x
In the equation, y is not a function of x
The graph of the relationship is a straight line
Answer:
a.
b.
d.
Step-by-step explanation:
Based on the table of values in Question 3, does the equation y = |x| represent a function?
If QS and TƯ
are parallel lines and
m
55°, what is m
Answer:
m is your slope. In parallel lines, your slopes are always the same and the y-intercept is always different. so ur slope is also 55.
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Step-by-step explanation:
An electric heater uses 7 1/2 units of electricity in 3 hours. How many units does it use in 5 hours?
Answer:
12.5 units or 12 1/2 units
Step-by-step explanation:
From the question, it uses 7.5 units in 3 hours.
In one hour it will use; 7.5/3 = 2.5 units
If 2.5 units is used in 1 hour
In 5 hours; 5 × 2.5 units will be used. This gives us 12.5 units or 12 1/2 units.
Can someone help me with these?
Evaluate the expression w 2 - v + 1 for w = -2 and v = -8.
5
13
-11
-3
Answer:
Is the w2, w(2) or
[tex] {w}^{2} [/tex]
?
If it's w(2) the answer is -4--8+1=-4+8+1=5
if it's w^2 then the answer would be 4--8+1=4+8+1=13
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How many years, to the nearest tenth, will be needed for $5000 to increase to $18000 at 3.0% annual interest compounded
Complete question :
How many years, to the nearest tenth, will be needed for $5000 to increase to $18000 at 3.0% annual interest compounded monthly
Answer:
Step-by-step explanation:
Initial amount (P) = 5000
Final amount (A) = 18000
Interest rate (r) = 3% = 0.03 compounded monthly
A = P(1 + r/n)^nt
n = number of compounding timea per period
18000 = 5000(1 + 0.03 / 12)^12t
18000 / 5000 = (1 + 0.0025)^12t
3.6 = (1 + 0.0025)^12t
3.6 = 1.0025^12t
Take the In of both sides
1.2809338 = 1.03t
t = 1.2809338 / 1.03
Evaluate the given expression when x=-4 and y=-1: 3x to the second power - xy + 2y to the second power
A. 54
B. 46
C. -32
D. -42
Answer:
The answer to the statement provided is 46.
A rectangular pyramid has a height of 8 meters. The base is 7 meters in length and 15 meters in width two different triangular cross sections are formed through the vertex and perpendicular to the base and to each other. What is the difference in the areas of the cross section? help- please-
Answer:
The difference in the areas of the cross section is 32 m²
Step-by-step explanation:
The given parameters are;
The height of the rectangular pyramid = 8 meters
The length of the base of the pyramid = 7 meters
The width of the base of the pyramid = 15 meters
Whereby triangular cross sections are formed through the vertex and perpendicular to the base, and to each other, we have;
The sides of the two triangles consists of the following;
1) Two slant height of the pyramid each
2) The two perpendicular lines joining the midpoints of the opposite sides of the base of the pyramid with length equal to the length of the adjacent side to the sides from which they are drawn which are 15 meters and 7 meters
3) The two lines and the corresponding slant height form triangles cross section which are perpendicular to each other.
the slant height, [tex]h_l[/tex], is given as follows;
[tex]h_l[/tex] = √(8² + (15/2)²) ≈ 10.966
For the triangular cross section with base = 15 m
The area of the cross section = 1/2 × Base₁₅ × Height = 1/2 × 15 m × 8 m = 60 m²
For the triangular cross section with base = 7 m
The area of the cross section = 1/2 × Base₇ × Height = 1/2 × 7 m × 8 m = 28 m²
The difference in the areas of the cross section = 60 m² - 28 m² = 32 m².
Gary is making a model of the garage he is going to build in his backyard. The actual length of the garage is 75 feet. The model's length is 15 inches. Complete the scale: 1 in. = ?.
Answer:
The scale: 1 inches = 5 feet
Step-by-step explanation:
Given:
Actual length of backyard = 75 ft
Model's length = 15 inches
Complete;
The scale: 1 inches = ?
Computation:
The scale = Actual length of backyard / Model's length
The scale = 75 / 15
The scale = 5 ft
So,
The scale: 1 inches = 5 feet
Which unit rate is the lowest price per ounce? (5 points)
Choice A: 7 ounces of cranberries for $2.98
Choice B: 18 ounces of ranberries for $7.18
a
Choice A
b
Choice B
c
The unit rates are equal.
d
The unit rates cannot be determined.
Write 2 cents using the dollar symbol (without spaces)
Answer:
$0.02
Step-by-step explanation:
This is the correct way to do 2 cents. Since two is not in the tenths place, and is not yet a dollar, the correct answer is $0.02.
Hope this helps! :D
The representation of 2 cents in dollar sign will be $0.02.
What is unit conversion?To convert any unit into another is called a unit conversion.
In order to convert units, we need to care about their dimensions their dimension should not be changed.
It is known that,
$1 = 100 cents
Divide both sides by 100
$1/100 = 1 cents
Multiply by 2 on both sides,
$(1/100)2 = 2 cents
$0.02 = 2 cents
Hence "The representation of 2 cents in dollar sign will be $0.02".
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put 2/5 1/3 3/7 and 4/9 in order least to greatest
Answer:
1/3 < 2/5 < 3/7 < 4/9
Step-by-step explanation:
:)
A garden is in the shape of a right triangle. The base of the triangle is 12m, and the garden covers an area of 30m squared. What length of fence is needed to surround the garden?
Answer:
= 30m
Step-by-step explanation:
to find the length of the fence, find the perimeter of the triangle.
that is b + h + hyp assuming b is the base, h is height and hyp is hypotenuse.
we have the base; height and hypotenuse are not given.
to get the height,
area(A) = 30m2
base(B) = 12m
height(H) = ?
A = 0.5 x B x H
30m2 = 0.5 x 12m x H
30m2 = 6m x L
H = 30m2 / 6m
H = 5m
to get the hypotenuse,
we have to complete the Pythagorean family the base ,12, and height, 5. is in.
formula = a2 + b2 = c2, c is the hypotenuse, a and b can be interchanged either way with base and height.
= (12 x 12) + ( 5 x 5) = c2
= 144 + 25 = c2
= 169 = c2
c2 = 169
c = 13
perimeter = b + h + hyp
= 5 +12 + 13
= 30m