En una granja se crían gallinas y cerdos. Entre las dos clases de animales hay 40 cabezas y 110 patas. ¿Cuántos animales hay de cada clase?
Answer:
Total pigs in the farm = 15
Total chickens in the farm = 25
Step-by-step explanation:
Given - Chickens and pigs are raised on a farm. Between the two classes
of animals there are 40 heads and 110 legs.
To find - How many animals are there of each class?
Proof -
Given that , there are two types of animals - Chicken and pigs.
Let Chicken is represented by c
Pigs are represented by p
Given , there are 40 heads and 110 legs.
As we know that both chicken and pigs has 1 head
⇒1c + 1p = 40
⇒c + p = 40 .........(1)
Also, we know
Chicken has 2 legs whereas pigs have 4 legs
⇒2c + 4p = 110
Divide the whole equation by 2, we get
⇒c + 2p = 55 .............(2)
∴ we get
c + p = 40 .........(1)
c + 2p = 55 .............(2)
subtract equation (1) from equation (2) , we get
c + 2p - ( c+ p) = 55 - 40
⇒c + 2p - c - p = 15
⇒p = 15
Now,
Put the value of p in equation (1), we get
c + 15 = 40
⇒c = 40 - 15
⇒c = 25
∴ we get
c = 25
p = 15
So, Total pigs in the farm = 15
Total chickens in the farm = 25
Write and solve an equation to answer the question. 14 is what percent of 70?
Answer:
20%
Step-by-step explanation:
An equation is 14=x/100*70 or 14=(x%)*70, either one works
solve for x:
14=x/100*7014/70=x/100 (Divide each side by 70)1/5=x/100 (Simplify 14/70)100/5=x (Multiply each side by 100 to isolate x)x=20 (Simplify 100/5)20% (Rewrite as a percent)hope this helps!!
The temperature increases from 18° F to 27° F.
What is the percent increase of the temperature?
A
3%
B
9%
C
33%
D
50%
Answer:
9% or 50%
Step-by-step explanation:
It can be both
hoped this helped!
algebraically find the x-coordinates where the line y=2x+3 intersects the circle (x-3)^2 + (y+6)= 50
** please help its due soon **
Answer:
x = {-4, -2}Step-by-step explanation:
To find the intersection we need to solve the system:
y = 2x + 3(x - 3)² + (y + 6)² = 50Solve by substitution, replace y with 2x + 3 in the second equation:
(x - 3)² + (2x + 3 + 6)² = 50x² - 6x + 9 + 4x² + 36x + 81 - 50 = 05x² + 30x + 40 = 0x² + 6x + 8 = 0x² + 6x + 9 = 1(x + 3)² = 1x + 3 = ± 1x = -4, x = -2What is the volume of this container?HELPPPPP
Answer:
(2×4×4)+(3×2×4)
56 is the answer
pls help me ill mark you brainliest and show your work please
Answer:
Infinately many solutions.
Step-by-step explanation:
2x-4=2(x-2)
Distribute
2x-4=2*x-2*2
2x-4=2x-4
Since both sides are the same, there are infinately many solutions.
Hope this helps!
Determina la EPG que adquiere una trapesista de 52 kg de masa cuando sube a un trapecio de 8 metros de altura. Considera g=9.81
Responder:
4080,96 Julios
Explicación paso a paso:
La energía potencial gravitacional adquirida se puede obtener mediante la relación:
EPG = masa * aceleración por gravedad * altura
Masa = 52 kgb; aceleración debida a la gravedad = 9,81; h = 8 metros
EPG = 52 * 9,81 * 8
EPG = 4080,96 julios
Tom made fruit punch for a party. He mixed 2 gallons of orange juice, 4 quats of pinnapple juice, 3 pints of cranberry juice. How many quarts did he make in all?
Answer:
13.5
Step-by-step explanation:
Tom made fruit punch for a party
He used the following amount of fruits
2 gallons of orange juice
= if 1 gallon is 4 quart then 2 gallon is 4×2= 8 quarts
3 pints of cranberry juice
= if 1 pint is 0.5 quart then 3 pints is 0.5×3 = 1.5 quarts
The amount of quartz he made can be calculated as follows
= 1.5 + 8 + 4
= 13.5
Hence he made 13.5 quarts of fruit punch
Which of the following is an exponential equation?
y = mx + b
y = a(b^x)
Change 3.7 hours into hours and minutes
Answer:
222 minuets
Step-by-step explanation:
Which is 6.781 closer to, 6.7 or 6.8?
Answer:
6.8
Step-by-step explanation:
when rounding 6.781 rounds up to 6.8 hence it is closer to 6.8
꧁________________________________꧂
QUESTION1.)Which is 6.781 closer to, 6.7 or 6.8?
ANSWER >>>6.8EXPLAIN>>>Because the digit of 6.781 is almost closer to 6.8꧁________________________________꧂
WILL GIVE BRAINLIEST TO THE BEST ANSWER
Which word best completes the sentence?
Select the word from the drop-down menu.
The play was hard to understand when the actors spoke in :
A. Dialect
B. Order
C. Structure
D. Translation
Answer:
The best awnser I believe would be A. Dialect
Answer:
a.
Step-by-step explanation:
Percentage can be written as a percent, fraction or decimal. Which is a correct example of this? 85%=85/100=0.85 85%=85/10=0.085 85%=85/1000=0.85 85%=85/100=0.085
Answer:
85% - 85/100 - 0.85
Step-by-step explanation:
The volume is ___ cubic centimeters.
Answer:
4.24
Step-by-step explanation:
Question 7 which graph represents a function
Answer:
Where are the graphs?
Step-by-step explanation:
Anyway use this method.
Use the vertical line test to determine whether or not a graph represents a function. If a vertical line is moved across the graph and, at any time, touches the graph at only one point, then the graph is a function. If the vertical line touches the graph at more than one point, then the graph is not a function.
How much is: 4(2c+3) =28
Step-by-step explanation:
hope this helps. if you have any questions, don't hesitate to message. :)
Answer:
c=2
Step-by-step explanation:
4(2(2) + 3)
4(4 + 3)
4(7)
28
Triangle congruence and similarly (picture included) SAS, ASA, SSS, or AAS?
Answer:
SAS
Step-by-step explanation:
SAS Postulate: "If two sets of corresponding sides on two triangles and there included angle are congruent, then the triangles are similar".
We see that line segments XY-ST and XZ-SR are congruent along with the included angles X and S. Therefore, we can justify that SAS fits the situation.
If this helped you, please consider giving a good rating, a thanks, and brainliest! It is greatly appreciated if you choose to do so! Thanks!
(2r+y+3z=13
1+2y = 11
3r+z=10
Answer:
Yupll have to use a calculator to get the answer for this type of question
PLEASE HELP IVE BEEN STUCK ON THIS ONE FOR QUITE A WHILE.
Answer:
I believe it might be C. -3
Answer:
The answer is C. -3
Step-by-step explanation:
You could go about solving this mathematically or graphically. I'll explain both ways.
Mathematically: Plug the points into this equation
y(2) - y(1) / x(2) - x(1)
If you do this, it will be -2- 4 / 1 - -1, which equals -6/2. You can simplify this to -3 and there you go.
Graphically: Start on the point (-1,4) and count on the graph until you get to (1,-2) That will be down six units and right two units. This can be written as -6/2, which of course, can be simplified to -3.
I hope this helps.
please explain as well, solve the trigonometric equation
Given:
The trigonometric equation is:
[tex]\tan x\sin x=\tan x\cos x[/tex]
To find:
The solutions for the given equation over [tex]0^\circ<x\leq 360^\circ[/tex].
Solution:
We have,
[tex]\tan x\sin x=\tan x\cos x[/tex]
It can be written as
[tex]\tan x\sin x-\tan x\cos x=0[/tex]
[tex]\tan x(\sin x-\cos x)=0[/tex]
[tex]\tan x=0[/tex] and [tex](\sin x-\cos x)=0[/tex]
The solutions over [tex]0^\circ<x\leq 360^\circ[/tex] are:
[tex]x=90^\circ,180^\circ[/tex] and [tex]\sin x=\cos x[/tex]
[tex]x=90^\circ,180^\circ[/tex] and [tex]x=45^\circ, 225^\circ[/tex]
Therefore, the correct option is D.
Help (Image attached)
Answer:
A or D
Step-by-step explanation:
A rental car agency charges $20 per day plus $.13 per mile to rent a certain car. Another agency charges $26 per day plus $.07 per mile to rent the same type of car. How many miles per day will have to be driven for the cost of a car from the first agency to equal the cost of a car from the second agency?
How can you check the slopes that you found for the first and third pairs of lines
above? Explain.
Answer:
is there a picture
Step-by-step explanation:
Simplify
(2a2b4z)(6a3b225)
Answer:
64800a²b²z
Step-by-step explanation:
use a calculator
Lin runs 5 laps around a track in 6 minutes, if Lin runs 21 laps at the same rate, how long does it take her?
Answer:
It would take approximately 24 minutes and 12 seconds.
Helppppp i need help ASAP
Answer:
a) 10.10 a.m. , (b) 10.20 a.m. which is 10 minutes after sprints start , (c) The students work at 10.50 a.m. , (d) For 60 minutes from 10 a.m. to 11 a.m. which equals to 1 hour
Find the total number of outcomes, rolling a number cube and tossing
two coins
A number cube has 6 different numbers.
A coin can have 2 outcomes ( heads or tails.)
Total out comes = 6 x 2 x 2 = 24
this is my last question please help me
Answer:
Angle ADC = 80 degrees
Step-by-step explanation:
Here, we want to find the measure of angle ADC
mathematically, sum of angles at a point is 360
Thus;
x + 3x + x + 10 = 360
5x + 10 = 360
5x = 360-10
5x = 350
x = 350/5
x = 70
From the diagram;
angle ADC is (x + 10)
so we have; (70 + 10) = 80 degrees
Solve : 2 (m + 1) = 3(m - 1)
Step-by-step explanation:
hope this helps. if you have any questions don't hesitate to ask :))
Answer:
m = 5
Step-by-step explanation:
Given
2(m + 1) = 3(m - 1) ← distribute parenthesis on both sides
2m + 2 = 3m - 3 ( subtract 2m from both sides )
2 = m - 3 ( add 3 to both sides )
5 = m
Sophie surveyed kids in her class and found two out of every five of them had seen an animated movie in the past month. If there are 30 kids that Sophie surveyed, how many saw an animated movie in the past month? Use the tape diagram to justify.
Answer:
12
Step-by-step explanation:
30÷5
=6
therefore,
2×6
=12