Answer:
(10,6)
There are 10 sheep and 6 chickens.
Step-by-step explanation:
Let y represent the number of chickens.
Let x represent the number of sheep.
1) Form a system of equations
"There are 16 animals in total"
⇒ [tex]x+y=16[/tex]
"The number of chickens is 4 less than the number of sheep"
⇒ [tex]y=x-4[/tex]
2) Substitute equation 2 into equation 1
[tex]x+(x-4)=16[/tex]
Solve for x
[tex]x+x-4=16\\2x-4=16\\2x=16+4\\2x=20\\x=10[/tex]
Therefore, there are 10 sheep.
3) Solve for y
[tex]x+y=16\\10+y=16\\y=16-10\\y=6[/tex]
Therefore, there are 6 chickens.
The ordered pair (10,6) represents the number of chickens and sheep.
I hope this helps!
The polynomial, −4x2+5 , is considered by classification to be a
Answer:
here u go
Step-by-step explanation:
binomial
Without doing any calculations, determine the missing number that will make the value of Expression B half the value of Expression A. A (8 + 54 + 91) × 12 B (8 + 54 + 91) × _____ Enter your answer in the box.
Answer:
6
Step-by-step explanation:
12÷2=6
Hope this helps! :)
Melissa has a spray paint that covers about 6,500 square centimeters. Can melissa apply two coats of paint to the entire sculpture?
Answer:
This question cannot be solved. It does not say anything about a statue in the first sentence and it doesn't give you the area of the statue.
Step-by-step explanation:
Answer:
Actually, in my math book I had that question. The answer was yes, I don’t remember why, but there was a picture included of the sculpture.
Step-by-step explanation:
You have to find the surface area of the cube and the surface area of the cylinder, but you don’t count the faces (circles). Then you total them, and find your answer. You do 6,500 times 2.
Factor the algebraic expression: 28a + 12
Answer:
hope it is helpful to you
Answer:
4(7a+3)
Step-by-step explanation:
28a+12
take common
4 is the common number for both the terms because it divides 28 and 12 exactly.
4(7a+3)
What is the perimeter of this rectangle?
w2 + 13
W + 5
A w3 + 18
B 2W + 2w + 36
o w3 + 5w? + 13w + 65
D w
+ W + 18
DA
(ОВ
Answer:
B. 2w^2 + 2w + 36
Step-by-step explanation:
The equation to find the perimeter of anything is: Length + Length + Width + Width = Perimeter.
Applying this logic to this problem, the equation would be as follows:
[tex]w^{2} + 13 + w^{2} + 13 + w+5+w+5[/tex]
Then, we simplify. The like terms go together, and you have your solution.
[tex]2w^{2} + 2w+36[/tex]
find the value of x.
Answer:
x = sqrt(33)
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
4^2 + x^2 = 7^2
16 + x^2 = 49
Subtract 16 from each side
x^2 = 49-16
x^2 = 33
Take the square root of each side
sqrt(x^2) = sqrt(33)
x = sqrt(33)
[tex]\quad\quad\quad \boxed{ \tt{\color{blue}{c}^{2} = {a}^{2} + {b}^{2} }}[/tex]
To find the value of x. Let's use this formula:[tex]\quad\quad\quad \boxed{ \tt{\color{blue}{a} = \sqrt{ {c}^{2} - {b}^{2} \: \: } }}[/tex]
Imagine that "a" is the "x".[tex]\quad\quad\quad \boxed{ \tt{\color{black}{a} = \sqrt{ {c}^{2} - {b}^{2} \: \: } }}[/tex]
[tex]\quad\quad\quad \boxed{ \tt{{x} = \sqrt{ {c}^{2} - {b}^{2} \: \: } }}[/tex]
[tex]\quad\quad\quad \boxed{ \tt{{x} = \sqrt{ {7}^{2} - {4}^{2} \: \: } }}[/tex]
[tex]\quad\quad\quad \boxed{ \tt{{x} = \sqrt{ {49} - {16} \: \: } }}[/tex]
[tex]\quad\quad\quad \boxed{ \tt \color{black}{{x} = \sqrt{ 33} }}[/tex]
Hence, The value of x is,[tex]\quad\quad\quad \boxed{ \tt \color{green}{{x} = \sqrt{ 33} }}[/tex]
_________
#LetsStudy
what do you call a line that intrrsects two parallel lines
Answer:
TransversalStep-by-step explanation:
A transversal is a line that passes through two lines in the same plane at two distinct points.
Transversals play a role in establishing whether two or more other lines in the Euclidean plane are parallel.
Eight angles of a transversal.
You can earn money by shoveling your neighbors' driveways in the winter and get paid $10 per hour. What is a function that would define this situation?
Answer:
Total income= $100
Step-by-step explanation:
Giving the following information:
Hourly rate=$10
To calculate the total income, we need to use the following formula:
Total income= hourly income*number of hours
For example, for 10 hours shoveling in a week:
Total income= 10*10
Total income= $100
find the value of x what makes DEF ~ XYZ
Answer:
x = 4
Step-by-step explanation:
[tex]\frac{14}{2x-1} = \frac{10}{5} \\10(2x-1) = 5*14\\20x - 10 = 70\\20x = 70+10\\20x = 80\\x = 80:20\\x = 4[/tex]
Find a equation of a line that is perpendicular to y=-4x+3 and passes through the point (4,-1)
Answer:
y = (-1/4)x
Step-by-step explanation:
the factor of x is in a line equation the slope of the line.
it residents actually the ratio of y/x.
in our original equation that means that for every change of x by 1 unit y changes by 4 units (actually -4 units) => -4/1 ratio.
a perpendicular line just reverses that ratio.
now, x had to change by 4 units for y to change by 1 unit (actually -1 unit)
=> -1/4
so, our wanted line equation must be in the form of
y = (-1/4)x + c
c is the offset of the line from the (0,0) point in y direction.
so, what is c ?
now we use the information of the point that is stored to be in that line : (4,-1)
=> -1 = (-1/4)×4 + c
=> -1 = -1 + c
=> c = 0
therefore, the desired line is
y = (-1/4)x
A person whose eyes are 5 feet about the ground is standing on the runway of an airport 100 feet from the control tower. That person observes an air traffic controller at the window of the 132-foot tower. What is the angle of elevation?
Answer:
Step-by-step explanation:
132-5 therefore the height from the eyes to the window is 127
100 feet away from the base of the tower
This forms two legs of a triangle
trying to find the degrees of this triangle.
Since its the two legs, you can use tanx which = to opposite side/adjacent side
Therefore, it is tanx = 127/100
But you are looking for x so arctan(1.27)
Must use calculator to find x
Hope this answer helps you :)
Have a great day
Mark brainliest
Please answer max 10 min, I have a test.
Given a room is 12 feet by 10 feet and we have a circular rug with a radius of 3 feet, calculate the amount of floor left uncovered by the circular area rug in a rectangular living room. Show all your work.
Step-by-step explanation:
floor = 12*10= 120 sq ft
rug = r² = 9 Пr2
120-9π = 91.74 sq ft
f(x) → 4x - 7. Find f(9)
Answer:
29
Step-by-step explanation:
f(x) = 4x -7
f(9) = 4(9)-7
=36-7
=29
If a chicken eats 7 food pellets every 10m, and sleeps for 12h, how many pellets would you need for a week and what is the equation
Answer:767
Step-by-step explanation:
Brainliest goes to whoever answers correctly and explains also if you want extra points answer my other questions
Answer:
Step-by-step explanation:
The y intercept, also known as 'c' in the formula y = mx + c acts as the coordinate for y when x = 0 [E.g. (0, 24) which c = 24]
Question 1 = y = -5x + 50
On the graph, c = 50 [ y = mx + 50 ]
30 - 15 = 15
7 - 4 = 3
15/3 = 5 (for the gradient, or 'm', which you may use the formula 'rise/run' on the line shown) [ y = 5x + 50 ]
ALTHOUGH, in question one, the line has a Negative Correlation, it slants downwards on the slope, so the gradient will be negative : y = -5x + 50
If x = 9, y = (9 x -5) + 50, = -5
y = -5
Question 2 = y = 2.5x + 5
c = 5
m = 5/2 = 2.5
y = 2.5x + 5
when y = 30 > x = 10
30 = 2.5x + 5
30 - 5 = 25
25 = 2.5x
x = 25/2.5
x = 10
Question 3 = y = -10x + 50
c = 50
m = (30 - 20) / 1 = 10
y = -10x + 50
when x = 4 > y = (-10 x 4) + 50
y = -40 + 50
y = 10
Math help please I need it ASAP
Answer:
x=10.5
Step-by-step explanation:
[tex]\frac{x}{6} =\frac{7}{4} \\x=\frac{7}{4} \times 6\\=\frac{21}{2} \\=10.5[/tex]
can someone explain how to do this :) im very confused
Answer:
the answer is 36q^7
Step-by-step explanation:
multiply the bases and add the exponents
Abby’s employee benefits include family health care coverage. She contributes 15% of the cost. Abby gets paid bi-weekly and $105.00 is taken out of each paycheck for family health care coverage. How much does Abby and her employer contribute annually for the family coverage?
Answer:
.........................
Which expression is equivalent to
Answer:
2 * x^10 * y^12
Step-by-step explanation:
when dividing by exponents with the same base, you subtract the exponent.
Help if you can. Thank You.
Answer:
[tex]Given:-[/tex] Δ ABC
[tex]AC~is~exteuded ~through ~C~to ~D[/tex]
[tex]BC~is ~drawn ~to ~AC[/tex]
[tex]Using ~Triangles~Exterior~angle~theorm,[/tex]
1) =∠3+∠4 and ∠4=∠5+∠6
∠7=∠3+∠2
So, only D) m∠7=m∠3+m∠2 is correct
---------------------------
hope it helps..
have a great day!!
Write the inverse of the given conditional statement
Answer:
If I live in South Carolina then I live in Charleston
Step-by-step explanation:
Just switch them
simplify (3³ × 3⁴) ÷ 3²
When a constant force is applied to an object, the acceleration of the object varies inversely with its mass. When a certain constant force acts upon an object
with mass 15 kg, the acceleration of the object is 5 m/s². When the same force acts upon another object, its acceleration is 3 m/s? What is the mass of this
object?
Answer:
The mass of the object will be "25 kg".
Step-by-step explanation:
Given that,
Mass,
m = 15 kg
Acceleration,
a = 5 m/s²
Now,
The force will be:
⇒ [tex]F = ma[/tex]
[tex]=15\times 5[/tex]
[tex]=75 \ N[/tex]
When, acceleration (a) = 3 m/s²
⇒ [tex]F = ma[/tex]
or,
⇒ [tex]m=\frac{F}{a}[/tex]
[tex]=\frac{75}{3}[/tex]
[tex]=25 \ kg[/tex]
What is the least common denominator of the equation 3/4(x-3)-1/2=2/3
Answer:
3(x-3)/4-1/2=2/3
The least common denominator will be the least common multiple of 4,2,3 which is the product of the highest occurring primes of the numbers prime factorization...
Step-by-step explanation:
4=2*2, 2=2, 3=3, so the least common denominator is 2*2*3=12
Calculate the exact value of 0.5/0.5 * 0.3. Show working please
Answer:
0.3 if you typed the calculating correctly.
because then all operations are of the same priority and ranking, and we go simply from left to right :
0.5/0.5 = 1
and then there is 1 × 0.3 = 0.3
but if you missed to write any brackets like for
0.5/(0.5 × 0.3)
then this goes differently, because now 0.3 is in the bottom part of the division/quotient.
we can still shorten the expression, as the 0.5 on top and on the bottom eliminate each other to 1. but it leaves us with
1/0.3
now, what is 0.3 ?
it is actually 3/10.
so, we have 1/(3/10) which is the same as
(1/1) / (3/10)
to solve this, the two inner numbers of the quotient multiply and the two outer numbers multiply giving us
(1×10) / (1×3) = 10 / 3 = 3.33333...
so, please pick the solution that best fits your actual question.
A teacher records the test scores of several students. 74,82,70,80,72,76,71,75,78,72.
Find the mean
PLS HELP ASAPPPP
THANK YOU SO MUCH!!!!
Answer:
75
Step-by-step explanation:
Math
Answer:
75
Step-by-step explanation:
add up all the numbers, then divide by how many numbers there are
a+b=2ab
b+c=3bc
cta=7ca
Answer:
a+b=2ab
b+c=2bc
c+a=2ca
Help,anyone can help me do quetion
geckos sundry cheri suffering augusto
Answer;
B3 = 72°
C3 = 84°
Solution
B3: x = 180° - 55° - [ 180° - 127° ] = 127°- 55° = 72°
C3: x = 180° - 133°+ [ 180°-143° ] = 47°+37°= 84°
feedback
hope it helps you. thank you.
Solve for x and show your work.
• GIVING BRAINLIEST!
Can you guys help me