A farmhouse shelters 16 animals, some are pigs, and some are ducks. Altogether there are 42 legs. How many pigs are there?
Answer:
5 pigs
Step-by-step explanation:
A farmhouse shelters 16 animals, some are pigs, and some are ducks. Altogether there are 42 legs. How many pigs are there?
Let us represent:
Number of pigs = x
Number of ducks = y
Our system of equations is given as:
A farmhouse shelters 16 animals, some are pigs, and some are ducks.
x + y = 16...... Equation 1
x = 16 - y
Altogether there are 42 legs.
Ducks have 2 legs(feet) , pigs have 4 legs,
4x + 2y = 42..... Equation 2
We substitute
16 - y for x in Equation 2
Hence:
4(16 - y) + 2y = 42
64 - 4y + 2y = 42
Collect like terms
- 4y + 2y = 42 - 64
-2y =- 22
y = -22/-2
y = 11 ducks
Solving for x.
x = 16 - y
x = 16 - 11
x = 5 pigs
Therefore, we have 5 pigs
75% of salmon pass through a single dam unharmed. By what percent does the number of salmon decrease when passing through a single dam?
Answer:
100%-75%= 25%
...........
The percentage that represents the number of salmon decrease when passing through a single dam will be 25%.
What is the percentage?The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates for one hundred percent. It is symbolized by the character '%'.
The percentage is given as,
Percentage (P) = [Final value - Initial value] / Initial value x 100
75% of salmon pass through a single dam unharmed.
The percent that represents the number of salmon decrease when passing through a single dam will be given as,
⇒ 100% - 75%
⇒ 25%
The percentage that represents the number of salmon decrease when passing through a single dam will be 25%.
More about the percentage link is given below.
https://brainly.com/question/8011401
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solve and get brainliest!!
please be sure of your answer!!!!
Answer:
70
Step-by-step explanation:
Graph it
Answer:
70°
Step-by-step explanation:
<1 = <3. (Vertically Opposite Angles)
Hence, value of <3 will be equal to <1 i. e.
<3 = <1 = 70°(Ans)
Question Category: Solving Quadratic Equations by Factoring Select the correct answer. Find the solution to the equation below.2x^2 +3x - 20 = 0
A) x= -5/2, 4
B) x = -4, -3/2
C) x= -4, 5/2
D) x= -4, 3/2
Answer:
C. x = -4, 5/2
Step-by-step explanation:
Answer:
C.
Step-by-step explanation:
I did the quadratic formula, so 2 is A, 3 is B, and -20 is C. I got -4 and 5/2 as my answers...
(hope this helps :P)
A function is graphed
In which entire interval is the function increasing?
A. 0 to 5
B. 1 to 3
C. 2 to 5
D. 4 to 6
The top of a can of soup has a radius of 3.4 centimeters. If the can is 10.2 centimeters tall, what is the approximate area of the label that wraps around the can? Select one:
O 370cm²
0 218cm²
O 54cm²
O 109cm²
Answer:
Option B 218 cm^2
Step-by-step explanation:
Given data
Radius= 3.4cm
Height= 10.2cm
Required
The curve surface area of the can of soup
Area of the curved surface will be = 2πr × h = 2πrh.
Substitute
Area of curve surface= 2*3.142*3.4*10.2
=218 cm^2 Approx
What is the completely factored form of x^4y- 4xły - 5y?
O y(x - 5)(x2 + 1)
O y(x2 + 5)(x2 - 1)
O (xy - 5)(x2 + 1)
O (x²y + 5)(x2 - 1)
for the given kite, find the length of side LM. wrote your answer in simplest radical form. show all work.
Answer:
LM = 13√2
Step-by-step explanation:
Hypotenuse = √Base² + Perpendicular²
So,
LM = √7² + 17²
LM = √49 + 289
LM = √338
LM = 13√2
f (×)=12× +5. f (2)=
Answer:
f(2)=29
Step-by-step explanation:
just plug in 2 for x
12(2) +5
24+5
29
HELP!
Find the Area of the triangle
Answer:
A ≈ 65.8 m²
Step-by-step explanation:
Given 2 sides and the angle between them then the area (A) is
A = [tex]\frac{1}{2}[/tex] bc sinA
= 0.5 × 19.9 × 10.7 × sin38.17°
≈ 65.8 m² ( to 1 dec. place )
someone help lol. bsbajajzisksnzjiskakzkz
Answer:
Nah I have grids
Step-by-step explanation:
helpp me plss i need to pass this class
Item 4 Identify the initial amount $a$ and the rate of growth $r$ (as a percent) of the exponential function $y=12\left(1.05\right)^t$ . Evaluate the function when $t=5$ . Round your answer to the nearest tenth.
Answer:
Initial amount = 12
Rate of growth = 5%
value of the function when t t = 5 is 15.3
Step-by-step explanation:
The standard exponential growth equation is expressed as;
y = A(1+r)^t
A is the initial amount
r is the rate of growth
t is the time
Given the expression y = 12(1.05)^t
On comparing with the general formula;
A = 12
Hence the initial amount is 12
Also;
1 + r = 1.05
r = 1.05 -1
r = 0.05
r = 0.05 * 100
r = 5%
The rate of growth is 5%
To evaluate the function when t = 5, we will substitute t = 5 into the given function as shown;
Recall that y = A(1+r)^t
y = 12(1.05)^5
y = 12(1.2763)
y = 15.3 (to the nearest tenth)
Are these triangles similar? explain why did you pick yes or no.
[tex]what is the square root of 245u to the power of 4 v to the power of 4[/tex]
Answer:
hope it helps ......
Step-by-step explanation:
....
have a great day
in a right triangle, the expression sin 47° is equal to what?
Rewrite using Radicals
Answer:
cannot be put into radical form, sorry!
Step-by-step explanation:
HELP! QUESTION IS ATTACHED BELOW.
Answer:
x² + y² = 16Step-by-step explanation:
The radius of the smallest circle is 2 as per the given equation.
The radius of the second circle is 2√2 as the half-diagonal of the square with side of 2.
The radius of the largest circle is 2√2*√2 = 2*2 = 4 units (same logic as above)
The equation for the largest circle is:
x² + y² = 4² ⇒ x² + y² = 16Round two of giving people free Brainiest for ranks
Answer:
can I please get brainliest
Step-by-step explanation:
PLZZZ HELP I NEED HELP
Answer:
n / 8
p x 4
b + 14
Step-by-step explanation:
hello! I need help. Please explain how you got the answer.
Answer:
4/15
Step-by-step explanation:
Since Hannah spent 1/3 of the money on books and 2/5 of the money on presents, she currently has 1/3 * 900 = 300 dollars gone on books and 2/5 * 900 = 360 dollars gone on presents. Adding them, she has a total of 660 dollars gone on both books and presents. Now, we need to find the fraction of the 900 dollars that she has left. We need to divide the remaining money (900 - 660 = 240) by the total money she had to figure that out.
240 / 900 = 4/15
First to answer gets brainliest
Answer:
asssjwjeje
Step-by-step explanation:
lolilililjwjjejeie
Which statement best describes the polynomial?
-24^7 - 12x^2 -9x+6
It is in standard form because the exponents are in order from highest to lowest.
It is in standard form because the coefficients are in order from highest to lowest.
It is not in standard form because the constant should be the first term.
It is not in standard form because it can be further simplified.
Answer:-12[tex]x^{2}[/tex]-9x-4584671418
Step-by-step explanation:
Answer:
A. It is in standard form because the exponents are in order from highest to lowest
Step-by-step explanation:
On edg 2021
First to answer gets brainliest
Answer:
the asnwer is A
Step-by-step explanation:
PLZ HELP! How many solutions does the system of linear equations have?
Y= -2x Y=-2x+5
two
one
infinitely many
none
Answer:
one
Step-by-step explanation:
Please help! Thank you! :))
which property of multiplication is shown? 4 x 1 + 4 x 3 = 4 x (1+ 3
Answer:
The properties of multiplication are distributive, commutative, associative, removing a common factor and the neutral element.
Step-by-step explanation:
The properties of multiplication are distributive, commutative, associative, removing a common factor and the neutral element.
what is 3 (2х-5) 2х+3=1
3(2x-5)+2x+3=1
6x-15+2x+3=1
8x-12=1
+12 +12
8x=13
/8 /8
x=1.625
---
sorry if this doesn't help
Answer the question pls
Answer:
f=54
Step-by-step explanation:
ma is m times a 3x18= 54
Answer:
F = -54
Step-by-step explanation:
You plug in the numbers that you can
so.. F = ma -ma= m * a
M= 3
a = -18
F = 3* (-18)
because there is one (-) number and you are multiplying your answer is going to be (-)
F= -54
Solve for XSolve for X
Solve for X
Solve for X
Solve for X
Solve for X
Solve for X
Answer:
Step-by-step explanation:
Because the angles are opposite each other they are equal so we can say
4x-25=75
4x=100
x=25
x= 25
4x -25 = 75 ( vertically opposit angle)
4x = 100
x = 100/4
x= 25
angle = 75
hope it helps