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
Can someone help me PLZ! I keep posting the same question and no ones helping me :((((((((((((
Steve started with $250 and spent $20 per week. Chelsea started with nothing but saved $30 per week. Use x for time and y for savings.
Write an equation to represent Steve's situation.
Answer:
[tex]250 - 20x=y[/tex]
Step-by-step explanation:
As per the given problem, Steve starts with $250, and spent $20 a week, the problem mentions nothing about Steve's savings, therefore, one can assume that they didn't save anything. As the problem requests, parameter ([tex]x[/tex]) will be used for the time, and ([tex]y[/tex]) for the savings.
Steve's saving would be equal to his initial value, minus his expense, in essence;
[tex]250 - 20x=y[/tex]
The initial value, minus the amount spend per week multiplied by the week number will equal the savings left.
Answer:
y=250-(20x)
Step-by-step explanation:
Triangle DEF is on a coordinate plane with its
vertices located at D( – 3,5), E( – 3, - 2), and
F(3,0). What is the area of ADEF in square
units?
Answer:
[tex]21\ \text{square units}[/tex]
Step-by-step explanation:
The points are [tex]D(-3,5), E(-3,-2)[/tex] and [tex]F(3,0)[/tex].
Area of a triangle is given by
[tex]A=\dfrac{D_x(E_y-F_y)+E_x(F_y-D_y)+F_x(D_y-E_y)}{2}[/tex]
[tex]\Rightarrow A=\dfrac{-3(-2-0)+-3(0-5)+3(5-(-2))}{2}[/tex]
[tex]\Rightarrow A=21\ \text{square units}[/tex]
The area of the given triangle is [tex]21\ \text{square units}[/tex].
Elianna studied data collected on the school hockey team for one season. She noticed that a player on the team had 13 successful shots out of a total of 50 attempted shots. To find the percentage of the total shots attempted by this player that were successful, Elian set up the equivalent ratios below.
Answer: See explanation
Step-by-step explanation:
Your question isn't complete but based on the information given in the question, since she noticed that a player on the team had 13 successful shots out of 50 attempted shots.
The percentage of the total shots attempted by this player that were successful will be:
= 13/50 × 100
= 26%
HELP PLEASE!! not sure about this one!!
Answer:
y=4x
Step-by-step explanation:
Camile shaded 18/30 of a model write the decimal that represents the unshaded portion of the model
Answer:
.4
Step-by-step explanation:
Camile shaded 18/30 of a model.
Thus the unshaded portion of the model is:
30 - 18 = 12
12/30
12/30 = 0.4
I need help on this. Can someone explain it?
Answer:
noooooooooooooooooooooo
Write the inequality represented by each graph..
Graph one : (0,-1) (6,3)
Graph two : (0,3) (4,-5)
Help
Answer:
Step-by-step explanation:
HERE ARE THE ANSWERS
Which of the following statement(s) describes the rate of change of f over the interval 1.5 SXS 3? Select all that apply.
A. The rate of change is 1/2
B. The rate of change is 2
C. The rate of change is constant
D. The rate of change is increasing
Please help me, I am completely lost...
3a²b3(-4b3 + 2b2a - 7) =
Answer:
the answer is =6a^3b^5−12a^2b^6−21a^2b^3
Step-by-step explanation:
hoped I helped:)
I need this answer ASAP! Please help!
A ladder is leaning against a building. The ladder forms an angle of 77° with the ground. The distance from the base of the ladder to the base of the building is 8 feet.
Answer:
Step-by-step explanation:
sin77=h/8
h=8sin77
h=8(0.9744)
h=7.7952ft
Can somone please help me and explain very much appreciated and this is 7th grade math btw
Answer:
4 8.95h + 10 < 115
Step-by-step explanation:
Answer: 4) 8.95h + 10 < 115
Step-by-step explanation:
We know the inequality will be equal to less than 115 since it states that the order was less than $115.
The equation would look like: some amount of shin guards times 8.95 each + $10 shipping = less than $115
8.95h + 10 < 115
(h in the given equation is the amount of shin guards)
What is 2x+7y=28 in slope intercept form
Answer:
y = -2/7x + 4
Which expression is equivalent to 28a - 7b?
A. 4(7a - 7b)
B. 7(28a - b)
C. 7(4a - b)
D. 7(a - 7b)
What is the equation of a circle whose center is at the origin and whose radius is 16?
x 2 + y 2 = 4
x 2 + y 2 = 16
x 2 + y 2 = 256
Answer:
x^2 + y^2 = 256
good luck and have an awesome Day/Night
help please i’ll give points !!
Answer: C :)
Step-by-step explanation:
It should be c but i am only in the 7th grade so it might not be right but i am pretty sure it is right.
25% of what number is 20
Answer:
100
Step-by-step explanation:
Solve each equation.
d(d+3)-d(d-4)=9d-16
Answer:
2d+3d-2d+4d= 9d-16
2d is cancelled
3d+4d=9d-16
7d=9d-16
16=9d-7d
16=2
16/2
d=8
Explain how to write x^2+5x+6 as the product of two linear factors. Use complete English and math sentences.
Answer:
(x + 3)(x + 2)
Step-by-step explanation:
Given
x² + 5x + 6
Consider the factors of the constant term (+ 6) which sum to give the coefficient of the x- term (+ 5)
The factors are + 3 and + 2 , since
3 × 2 = + 6 and + 3 + 2 = + 5 , then
x² + 5x + 6 = (x + 3)(x + 2) ← in factored form
Can someone help me please????
what is the mixed number: 1 and 3/4 as a percent
Answer:
175%
Step-by-step explanation:
1 would be 100%
3/4 would be 75%
100%+75%=175%
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
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sorry if this doesn't help
What would be the best estimate for the height of a front door?
Answer: The height of a standard door is about 2 m. The length of an adult pace is about 1 m. The length of a size 8 shoe is about 30 cm. Most adults are between 1.5 m and 1.8 m in height.
Step-by-step explanation:
For the parabola graphed below, identify its vertex, axis of symmetry, and state if it opens upwards or downwards.
help please!
Answer:
Step-by-step explanation:
Find the vertex, in this case which is a maximum (-3,3), the axis of symmetry is a line that cuts it down the middle, vertically so the equation is x = -3, notice that is the same same x value for the vertex
Parabola opens downward
Increases when y < 3 and decreases when y > 3
18. What is the equivalent fraction of 8/80?
Answer:
1/10
Step-by-step explanation:
8/80
divide numerator and denominator by 8
8÷8=1
80÷8=10
Find the dimensions of the square or circle.
Complete question is;
Find the dimensions or, the square or circle. Area = 64π in²
Answer:
r = 8 inches
Step-by-step explanation:
We know that formula for area of a circle is; A = πr²
Where r is radius.
We are given Area as 64π in²
Thus;
πr² = 64π
π will cancel out to give;
r² = 64
r = √64
r = 8 inches
Graph the inequality on the axes 2x-y>5
Answer: x>1/2y+5/2 look at the picture it going to be the graph
Step-by-step explanation: Hope this help :)
plzzz help me with this
Answer:
30 for the next one
Step-by-step explanation:
muiltply hour by bracelets per hour
Answer:
SHOWN IN PICTURE.
Step-by-step explanation:
Time in hours × (bracelet per hour)
The diameter of a circle is 4 units.
What is the radius of the circle?
units
Answer:
radius = D/2
Step-by-step explanation:
radius= 4unit/2
=2unit
Someone help please
Answer:
A=(b^2)h/2
Step-by-step explanation: