Answer:
Pigs = 17
Ducks = 6
Step-by-step explanation:
Let there be x pigs and y ducks in the field.
[tex]\implies x + y =23[/tex]
[tex]\implies y =23-x.....(1)[/tex]
Since, there are 80 legs in all.
Each pig has 4 legs and each duck has 2 legs. So, x pigs will have 4x legs and y ducks will have 2y legs.
Total legs = 4x + 2y
Total legs = 80 (Given)
[tex]\implies 4x + 2y =80....(2)[/tex]
From equations (1) & (2), we find:
[tex]\implies 4x + 2(23-x) =80[/tex]
[tex]\implies 4x + 46-2x =80[/tex]
[tex]\implies 2x =80-46[/tex]
[tex]\implies 2x =34[/tex]
[tex]\implies x =\frac{34}{2}[/tex]
[tex]\implies x =17[/tex]
[tex]\implies y =23-17[/tex]
[tex]\implies y =6[/tex]
Help I forgot to study :(
Answer:
B both are proportional
Step-by-step explanation:
so i think by proportional its linear?
so the graph is linear because its a line and its a function, but for the table we first have to find the slope by using the equation
y2 - y1 / x2 - x1
(4, 1.31) and (8, 2.62) will be the points we will use
2.62 - 1.31 / 8 - 4
1.31/4
0.3275x
now i think we use a point we did not use yet sooo (16, 5.24)
we substitute
y = 0.3275x + b
5.24 = 0.3275(16) + b
5.24 = 5.24 + b
b = 0
so the equation would be
y = 0.3275x
now we check with the last point given
6.55 = 0.3275(20) ?
6.55 = 6.55
so i think the answer is both are proportional ?
help me please and thank you
Answer: #3: x=11
#4: x=2
Step-by-step explanation:
y varies directly as x. If x = 5 when y = 12, find x when y = 30.
Answer:75/6
Step-by-step explanation: Y is proportional to x so 12 is proportional to 5 so if y=30 then it will be 30*5/12=150/12=75/6
can someone help me i need this asap
Step-by-step explanation:
For a, you have the theorem right above.
If B is 120 then D should be 180-120=60
Since C is 90, E should be 180-90=90
Use the same theorem for b as well
Which lists all of the y-intercepts of the continuous function in the table?
(0, 0)
(–1, 0), (2, 0)
(–1, 0), (0, 0)
(–1, 0), (0, 0), (2, 0)
Which relation is a function?
Answer:
it is c
Step-by-step explanation:
Alver has to travel a total of 500 kilometers. He travels the first 200 kilometer in 4 hours. Calculate his average speed for the first part of his journey.
Answer:
50 km/h
Step-by-step explanation:
Avg. speed = distance / time
= 200 km / 4 hours
= 50 km/h
Why are most personal loans much smaller than mortgages and home equity loans?.
Answer:
Most personal loans are smaller than mortgages and equity loans because the percentage of the interest rate on a home is higher than that of a personal loan.
Step-by-step explanation:
A fire hydrant is 30 in. tall and casts a shadow 8 in. long. how tall is a
nearby tree that casts a shadow 4 ft long?
Using proportions, it is found that a tree that casts a shadow 4 ft long is 180 in. tall.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, a fire hydrant that is 30 in. tall and casts a shadow 8 in. long. We want to find the height of a tree that casts a shadow of 4 ft = 4 x 12 = 48 inches. Hence, the rule of three is given by:
30 in - 8 in
h in - 48 in
Applying cross multiplication:
h = 48 x 30/8
h = 6 x 30.
h = 180 in.
More can be learned about proportions at https://brainly.com/question/24372153
Find the circumference of the circle
Answer:
Formula for circumference;
C = 2πr
replace those values
C = 2 x 3.14 x 9
C = 56.52 inches, C
Answer:
The circumference would be 56.52
Step-by-step explanation:
Place your radius into the formula for circumference (C=2πr)
C = 2 × 3.14 × 9
C = 56.52
Jajdnndidjjsjdhdbdbrtnfjjjg
Answer:
hahsgdhfidnrhfibfrujdbfufnrie
Step-by-step explanation:
thanks
P(sports U Work)= _%. The following two way table describes students after school activities. Find the probability that a randomly selected student either does sports or works
Answer: 75%
Step-by-step explanation:
20+20+25+3+2+5=75
Total of 100 students
75/100=0.75
=75%
The percentage of P(sports ∪ work) is equal to 75%.
We have given the table
we have to find the percentage of sports and work
What is the formula for the total?
Total=Work+sports
Therefore we have to add the values of work and sports
20+20+25+3+2+5=75
Total of 100 students
75/100=0.75
=75%
Therefore the percentage of P(sports ∪ work) is given by 75%.
To learn more about the percentage visit:
https://brainly.com/question/24304697
#SPJ2
What is the value of x if x * x + 2x - 35 = 0?
Answer:
x = 5, -7
Step-by-step explanation:
[tex]x^2+2x-35=0[/tex]
[tex]\mathrm{Solve\;with\;quadratic\;formula}[/tex]
[tex]x_{1,\:2}=\frac{-2\pm \sqrt{2^2-4\cdot \:1\cdot \left(-35\right)}}{2\cdot \:1}[/tex]
[tex]x_{1,\:2}=\frac{-2\pm \:12}{2\cdot \:1}[/tex]
[tex]\mathrm{Separate\:the\:solutions}[/tex]
[tex]x_1=\frac{-2+12}{2\cdot \:1},\:x_2=\frac{-2-12}{2\cdot \:1}[/tex]
[tex]x=\frac{-2+12}{2\cdot \:1}:5[/tex]
[tex]x=\frac{-2-12}{2\cdot1}:-7[/tex]
[tex]\mathrm{The\:solutions\:to\:the\:quadratic\:equation\:are:}[/tex]
[tex]x=5[/tex] and [tex]x=-7[/tex]
~Learn with Lenvy~
please the answer to question 1,2,3 and 4
Answer:
1.
x=5
y=4
2.
y=19.8
x=4.2
3.
x=16
y=70.4
4.
a=28
b=25/7
How can tangent be seen geometrically in the unit circle?
Answer:
The coordinates of the points on the unit circle help us to find the tangent of each angle. As you can see with this equation, the tangent of an angle is equal to the y-coordinate divided by the x-coordinate. For each angle, start by dividing each y-coordinate by the x-coordinate to get the tangent of that angle.
i hoped this helped a little :D
If triangle PQR were similar to triangle XYZ, then which angle would correspond to angle Q?
A.) Angle X
B.) Angle Y
C.) Angle Z
Answer: B) Angle Y
Step-by-step explanation:
If we rotate the triangle PQR we will get R is correspond to X, Q is correspond to Y, and P is correspond with Z.
Kamala was ordering tickets from a local theater for two different events. The first event cost $24.95 per ticket plus a $5 processing fee. The second event cost $35.75 per ticket plus a $9.95 processing fee. If Kamala purchased the same number of tickets to each event, what is the simplified expression for the total cost for both events?
Answer:
T=60.7x+5+14.95Step-by-step explanation:
let the number of tickets be x
and the number is the same for both tickets
for the first event
the cost is =24.95x+ 5
for the second event
the cost is =35.75x+ 9.95
for both events the total cost is
T=24.95x+ 5+35.75x+ 9.95
T=24.95x+35.75x+5+ 9.95
The simplified expression for the total cost for both events T=60.7x+5+14.95(04.01)
Which of the following best defines
? (1 point)
Square root of 16
O Cube root of 4
O Square root of 4
O Cube root of 16
Help PLEASEEEEEE
Answer:
Aware root of 16 is square root of 4
Step-by-step explanation:
4×4= 16
Hope this helps!!!
2 friends went to see a movie. 1 friend ordered a movie ticket for $5.50 and a popcorn for $3.75. The other friend ordered a movie ticket and a drink for $3. If they wanted to split the cost evenly, around how much did each friend pay? which anseris it a piece
$6.13 a piece
$8.88 a piece
$7.95 a piece
$10.05 a pie
Answer:
$8.88
Step-by-step explanation:
5.50+5.50+3.75+3.00=17.75÷2=8.88
Answer:
Its A.
Step-by-step explanation:
Add the price up to find the total: 5.50 + 3.75 + 3 = $12.25. Since there were 2 people and they wanted to split the cost- they pay half half. So 12.25 divided by 2 is $6.12.5 but you gotta round it to get an answer hats there so you round it up to 6.13.
I don't need help I just want to see who will get it first. 5×95−2+322÷5−5+2
Answer:
405.6
have a great day!
Please rate and mark brainliest!!
Write a proof for the biconditional using the conditional and converse.
A triangle is equilateral if and only if all the side lengths of the triangle are equal.
Answer: see below
Step-by-step explanation:
Hypothesis (p): A triangle is equilateral
Conclusion (q): The side lengths are equal
Conditional (p → q): If a triangle is equilateral, then its side lengths are equal.
The conditional statement is TRUE
Converse (q → p): If the side lengths of a triangle are equal, then it is equilateral.
The converse statement is TRUE
Since p → q and q → p are both TRUE, then it is biconditional.
Crackers come in packages of 24 cheese slices come in packages of 18 and he wants one cheese slice for each cracker Patrick me the statement below if Andy doesn't want any crackers or cheese slices left over he needs to buy at least 432 of each is Patrick statement correct use numbers or words to explain why were you know if Patrick's exclamation is not correct what should he do?
Answer:
Patrick's statement is incorrect
Step-by-step explanation:
Crackers come in packages of 24
cheese slices come in packages of 18
He wants one cheese slice for each cracker
Patrick made the statement below "if Andy doesn't want any crackers or cheese slices left over he needs to buy at least 432 of each"
Patrick's statement is incorrect
The lowest common multiple ( L. C. M) of 24 and 18 is 72
Therefore, Andy needs 72 packages of crackers and 72 packages of cheese slice so that no crackers or cheese slice will remain.
7 people in a town have caught an infectious virus. The number of people that are infected
increases by 15% daily. How many days until 1000 people are infected? Round to the
nearest whole day and type your answer into the box.
many days until 1000 people are infected is 105
Will it collect 80 half-liter bottles in a 50-liter barrel
True False
Answer:
TRUEStep-by-step explanation:
Will it collect 80 half-liter bottles in a 50-liter barrel
True False
80 half-liter = 40 liters
50 - 40 = 10 liters
the answer is TRUE
I’ll give out Brainly for helping !
Answer:
B. SSA
Step-by-step explanation:
Since segments JK and RQ are parallel, they are similar by both extending at the same angle and both segments formed by the parallel lines being proportional segments.Since the lengths of segments KZ and ZR are given, they are similar because they are proportional.Since vertical angles are always equivalent by the Vertical Angles Theorem, angles JZK and RZQ are congruentBecause we have 2 sides with a non-included (not in-between the two sides) angle, the triangles are similar by SSA Similarity.
I hope this helps!
An object is launched at 18.4 meters per second (m/s) from a 36.8-meter tall
platform. The equation for the object's height s at time t seconds after launch is
s(t) = -4.9t2 + 18.4t + 36.8, where s is in meters.
Answer:
Step-by-step explanation:
Given the equation for the object's height s at time t seconds after launch is
s(t) = -4.9t^2 + 18.4t + 36.8
Since are not asked what to look for, we can as well lok for the time taken for the ball to hot the ground. The ball hits the ground at when s(t) = 0. The equaton becomes:
0 = -4.9t^2 + 18.4t + 36.8
Multiply through by -10
49t^2 - 184t - 368 = 0
factorize the resulting expression
t = 18±√184²-4(49)(-386)/2(49)
t = 18±√338564+75656/78
t = 18±√414220/78
t = 18±643.599/78
t = 661.559/78
t = 8.48secs
Hence the object reaches that ground after 8.48seconds
There are 630 students in Ben’s school. On a normal day, 30 % of the students ride bicycles to school. How many students ride bicycles to school on a normal day?
Pls give me the correct answer and I will mark u as brainliest .
Answer: Total jam = 100kg
jams taken out on 2 occasions= 15 2/5kg and 12 4/5 kg
= 77/5 and 64/5
quantity of jam left in the container
= 100- (77/5 + 64/5)
=100- 141/5
= 100- 28.2
= 71.8 kg
Hope it helped u,
pls put thanks as well pls mark this as the brainliest
Find the inverse. Check your answer algebraically and graphically.
f(x) = 4x/x − 9, x ≠ 9
f^-1(x)=
as you already know, to get the inverse of any expression we start off by doing a quick switcheroo on the variables and then solving for "y", let's do so.
[tex]\stackrel{f(x)}{y}~~ = ~~\cfrac{4x}{x-9}\implies \stackrel{\textit{quick switcheroo}}{x~~ = ~~\cfrac{4y}{y-9}}\implies xy-9x=4y\implies -9x=4y-xy \\\\\\ -9x=y(4-x)\implies \cfrac{-9x}{4-x}=y\implies \cfrac{9x}{x-4}=\stackrel{f^{-1}(x)}{y}[/tex]
how to test algebraically? well, for any (a,b) pair in f(x), its inverse will have another pair but (b,a), hmmm let's plug hmmm say
f(10) = 40, and f⁻¹(40) = 10.
we could plug more values in each, same pair will come up.
as far as testing them graphically, Check the picture below.
Write one solution to the inequality 7(3-x)>14. Explain your reasoning.
Answer:
x>1
Step-by-step explanation:
21-7x>14
-7x>-7
x>1
Answer:
x<1
Step-by-step explanation:
7(3-x)>14
21-7x>14
-7x>-7
x<1