Answer:
27 chickens
Step-by-step explanation:
A chicken farmer also has cows for a total of 30 animals
Both animals have a total of 66 legs
Let a represent the number of chicken
Let b represent the number of cows
a + b= 30........equation 1
Since a chicken has only two legs and a cow has four leg then, the expression can be represented as
2a + 4b= 66........equation 2
From equation 1
a + b= 30
a = 30-b
Substitute 30-b for a in equation 2
2a + 4b= 66
2(30-b) + 4b= 66
60 - 2b + 4b= 66
60 + 2b= 66
2b= 66-60
2b= 6
b= 6/2
b= 3
Substitute 3 for b in equation 1
a + b = 30
a + 3=30
a= 30-3
a= 27
Hence the farmer has 27 chickens
Given the equation a = 2(b + 6) - 10, find the value of b when a = -18.
Answer:
-10=b
Step-by-step explanation:
-18=2(b+6)-10
-18=2b+2
-20=2b
-10=b
Evaluate each function: 1. p(a) = 3a-2; find p(-5) 2. h(t) = 4t+2; find h(-4) 3. f(a) = 3a-4; find f(1) 4. g(x) = 3x+ 1; find g(-9) 5. k(x) = x-1; find k(5) 6. f(x) = x+1; find f(7) 7. h(t) = 4t+2; find h(-8) 8. g(x) = 2x=1; find g(2) 9. w(a) = a+4; find w(9) 10. g(n) = 4n+2; find g(-9)
Solve for y 46=2y Simplify your answer as much as possible...
Answer:
23
Step-by-step explanation:
2y=46
y=46/2
y=23
hope this helps!!
Answer:
Y=23
Step-by-step explanation:
If you follow pemdas then you know you have to divide both sides by 2 because its oppisite and when you divide 46 by 2 you get 23 and 2y divided by 2 would be 1y also just known as y and your answer is 23=y
Identify the property that justifies each step asked about in the answer area below. Line 1: \text{Line 1: }\phantom{=}Line 1: = 4(8+9x)\,\,4(8+9x)4(8+9x) Line 2: \text{Line 2: }\phantom{=}Line 2: = 4(9x+8)\,\,4(9x+8)4(9x+8) Line 3: \text{Line 3: }\phantom{=}Line 3: = 36x+32\,\,36x+3236x+32 Line 1 to Line 2: Line 2 to Line 3:
Answer:
1. Commutative Property of Addition
2. Distributive property
Step-by-step explanation:
Given
[tex]Line 1: 4(8+9x)[/tex]
[tex]Line 2: 4(9x+8)[/tex]
[tex]Line 3: 36x+32[/tex]
Required
Justify each step
From Line 1 to 2:
The property from Line 1 to 2 depicts [tex]a + b = b + a[/tex];
i.e.
[tex]4(8 + 9x) = 4(9x + 8)[/tex]
This is referred to as Commutative Property of Addition
From Line 2 to 3:
The property here depicts [tex]a(b + c) = a * b + b * c[/tex]
i.e.
[tex]4(9x + 8) = 4 * 9x + 4 * 8[/tex]
[tex]4(9x + 8) = 36x + 32[/tex]
This is referred to as Distributive property
Answer:
Line 1 to Line 2: Commutative Property of Addition
Line 2 to Line 3: Associative Property of Addition
Step-by-step explanation:
does that answer anything
k( 3х - 2) = 4 - 6x
Answer:
k=-2
Step-by-step explanation:
k(3x-2)=4-6×k(3x-2)=-2(3x-2)k=-2Evalute j/4 when j = 12
Answer:
3
Step-by-step explanation:
j/4
Let j = 12
12/4
3
3c = 18 do I multiply 3 by 6
Answer:
to find c you divide 18 by 3 to find that c = 6
Answer:
c would equal 6
Step-by-step explanation:
3(6) = 18
A girl is 6 feet tall and casts a shadow that is 4
feet long. A building casts a shadow that is 40
feet long. How tall is the building?
Answer:
60 ft tall
Step-by-step explanation:
tall | 6 | x
shadow | 4 | 40
4 times 10 = 40
6 times 10 = 60
Answer:
60 ft tall
Step-by-step explanation:
Determine the domain of the following graph:
Answer and explanation:
The domain would be [-9,3]. A closed circle lets you know if you will have to put parenthesis or a bracket when writing the domain. You can use every number between -9 and 3, including -9 and 3.
The domain of the given graph is -9 ≤ x ≤ 3.
What is domain ?The domain of a function f is the set of all values of x for which f(x) is defined and real.
Now from the given graph it is seen that the graph runs from -9 to 3 on x-axis.
and it is known that the domain of the graph is the set of all possible values of x.
Hence the required domain the given graph is written as,
-9 ≤ x ≤ 3
Thus, the domain of the given graph is -9 ≤ x ≤ 3.
To learn more about domain of the graph :
https://brainly.com/question/20035161
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There were f frogs in a pond. 88 of the frogs hopped away. Write an expression that shows how many frogs are in the pond now.
Answer: f - 88 = p
Step-by-step explanation:
f = frogs
p = how many frogs in pond now
F - 88 = p
Hope this helps
Plz mark brainlest
Can you help me with the problem listed in the pictures below? Please and thank you. Will mark BRAINLIEST!!! :)
Answer:
24
Step-by-step explanation:
if u subrtact 207-15 u will have 192 i divided that by 8 and got 24
Reminders? The answer?
Answer:
67, no remainder.
Step-by-step explanation:
Answer:
67, no remainder.
Step-by-step explanation:
Please help ASAP! Will give brainliest if correct!
Answer:
you are trying to get up to 180 ( a straight line is 180 degrees).
So 26+32 =58 and go through your answer choices to see which one adds up to 180
and it that case your answer would be A 122+58=180
Step-by-step explanation:
Long division is completed using the standard algorithm for division,
O True
O False
The students at Woodward Elementary voted for a school mascot. The falcon won with 58 of the votes. If 536 students voted for a mascot, how many students voted for the falcon?
Answer:
335 people
Step-by-step explanation:
Answer:
335
Step-by-step explanation:
The area of the star shaped surface of this block is 1.2m^2. The thickness of the block is 25cm. What is the volume of the block?
Answer:
volume = 0.30 m³
Step-by-step explanation:
GIVEN:
The area of the star shaped surface of this block is 1.2m^2.
The thickness of the block is 25cm.
FIND:
What is the volume of the block?
SOLUTION:
volume = area x length
where area = 1.2 m²; length = 0.25 m
plugin values into the formula:
volume = 1.2 m² x 0.25 m
= 0.30 m³
therefore, the volume of the star shaped block is 0.30 m³
What is the slope of 0,0 8,24
Answer:
m=3
Step-by-step explanation:
:D
Answer:
m ≈ 3
Step-by-step explanation:
hope this helps!
~mina
A recipe requires 1/3 cup of milk for each 1/4 cup of water. How many cups of milk per cups of water are there?
1/7 cups of milk per 1 cup of water
1/12 cups of milk per 1 cup of water
3/4 cups of milk per 1 cup of water
4/3 cup of milk per 1 cup of water
OC
A farmer has 180 yards of fencing material to make a rectangular
pen subdivided into 3 smaller pens. If the total length of the pens
is to be 60 yards, at most, how wide can the rectangle be?
Answer: 60 yd
Step-by-step explanation:
Here: subdivided into 3 smaller pens (2w + w + w) extra widths for separation purposes (3 smaller pens)
180 yards of fencing material
180yd = 2L + 4w
180dy = 2*60 + 4w
60dy = 4w
w = 15yd, how wide can the rectangle can be with L = 60yd
You estimate that there are 76 marbles in a jar. The actual amount is 81 marbles. Find the percent error. Round to the nearest tenth of a percent if necessary.
Numbers absolute value of 12?
Answer:
12
Step-by-step explanation:
absolute value of a positive number remains that way
Which is NOT true?
A
10 + 9 = 7 + 12
B.
10 = 10
c
10 - 4 = 3 + 3
D.
10 = 19 - 11
Answer:
D
Step-by-step explanation:
BECAUSE 19-11 ISNT 10
Answer:
D. 10= 19-11
Step-by-step explanation:
A. 10+9=19 and 7+12= 19
B. 10=10
C. 10- 4 = 6 and 3+3=6
D.19-11=8 not 10
HELP AND OYU CAN HAVE ZA WORLDU
Simplify 8 − (14).
Answer:
When you simplify it you would get 2.
Step-by-step explanation:
find the value of 4x ssquared - 2y when x=3 =2
Answer:
Since x=3 and y=2, plug into the equation.
4(3)²-2(2)
= 4(9)-4
= 36-4
= 32
Help ASAP please I would really appreciate it thank you
Answer:
the answer would be line AC
Step-by-step explanation:
the reason. for this is because a segment is a line with two endpoints, and line AC fits that description.
solve for x:
2x+4=16
Answer:
6
Step-by-step explanation:
2x+4=16
2x=12
x=6
Answer: x = 6
Step-by-step explanation: To solve for x, we must first
isolate the term containing x, which in this problem is 2x.
Since 4 is being added to 2x, we subtract 4
from both sides of the equation to isolate the 2x.
On the left, the +4 and -4 cancels
out and on the right, 16 - 4 is 12.
So we have 2x = 12.
Then just divide both sides by 2 so x = 6.
How do you Factor 6y^2-5y-21
Answer:
(2y+3) (3y-7)
hope it helps;)
Answer:
(2y+3)*(3y-7)
Step-by-step explanation:
6y^2+9y-14y-21
3y(2y+3)-7(2y+3)
(2y+3)*(3y-7)
4x + 5 = 2x
Helpp please
Answer:
x=-2.5
Step-by-step explanation:
Answer:
x= -5/2
Step-by-step explanation:
i just did scratch work an figured it out.. Lemme kno if u need ore help-..:):)
solve for d:
4−d<4+d
Answer:
d > 0
Step-by-step explanation:
Find the quotient using polynomial long division:
1. (50y^3+10y^2-35y-7)divided by(5y-4)
2. (8m^4-4m^2+m+4)divided by(2m+1)
(1) [tex]50y^3=5y\cdot 10y^2[/tex], and
[tex]10y^2\cdot(5y-4)=50y^3-40y^2[/tex]
Subtract this from [tex]50y^3+10y^2-35y-7[/tex] to get a remainder of
[tex](50y^3+10y^2-35y-7)-(50y^3-40y^2)=50y^2-35y-7[/tex]
What we've done here is show that
[tex]\dfrac{50y^3+10y^2-35y-7}{5y-4}=10y^2+\dfrac{50y^2-35y-7}{5y-4}[/tex]
We can keep going as long as the degree of the remainder's numerator is at least the same as the degree of its denominator.
Next, [tex]50y^2=5y\cdot 10y[/tex], and
[tex]10y\cdot(5y-4)=50y^2-40y[/tex]
Subtract this from the previous remainder to get a new remainder of
[tex](50y^2-35y-7)-(50y^2-40y)=5y-7[/tex]
which means
[tex]\dfrac{50y^3+10y^2-35y-7}{5y-4}=10y^2+10y+\dfrac{5y-7}{5y-4}[/tex]
Finally, [tex]5y=5y\cdot1[/tex], and
[tex]1\cdot(5y-4)=5y-4[/tex]
Subtract this from the previous remainder to get
[tex](5y-7)-(5y-4)=-3[/tex]
So we end up with
[tex]\dfrac{50y^3+10y^2-35y-7}{5y-4}=\boxed{10y^2+10y+1}-\dfrac3{5y-4}[/tex]
(the quotient is the expression in the box)
(2) Using the same process as before:
[tex]8m^4=2m\cdot4m^3[/tex]
[tex]4m^3\cdot(2m+1)=8m^4+4m^3[/tex]
[tex](8m^4-4m^2+m+4)-(8m^4+4m^3)=-4m^3-4m^2+m+4[/tex]
[tex]\implies\dfrac{8m^4-4m^2+m+4}{2m+1}=4m^3-\dfrac{4m^3+4m^2+m+4}{2m+1}[/tex]
[tex]-4m^3=2m\cdot(-2m^2)[/tex]
[tex]-2m^2\cdot(2m+1)=-4m^3-2m^2[/tex]
[tex](-4m^3-4m^2+m+4)-(-4m^3-2m^2)=-2m^2+m+4[/tex]
[tex]\implies\dfrac{8m^4-4m^2+m+4}{2m+1}=4m^3-2m^2-\dfrac{2m^2-m-4}{2m+1}[/tex]
[tex]-2m^2=2m\cdot(-m)[/tex]
[tex]-m\cdot(2m+1)=-2m^2-m[/tex]
[tex](-2m^2+m+4)-(-2m^2-m)=2m+4[/tex]
[tex]\implies\dfrac{8m^4-4m^2+m+4}{2m+1}=4m^3-2m^2-m+\dfrac{2m+4}{2m+1}[/tex]
[tex]2m=2m\cdot1[/tex]
[tex]1\cdot(2m+1)=2m+1[/tex]
[tex](2m+4)-(2m+1)=3[/tex]
[tex]\implies\dfrac{8m^4-4m^2+m+4}{2m+1}=\boxed{4m^3-2m^2-m+1}+\dfrac3{2m+1}[/tex]