Answer:
There are 12 horses and 18 geese.
Step-by-step explanation:
We are given that in a field full of horses and geese, a farmer notes that there are 30 heads and 84 feet.
We can write a system of equations using the given information.
Let the amount of horses there are be represented by h and geese by g.
Assuming each horse and geese has only one head, we can write that:
[tex]\displaystyle h + g= 30[/tex]
And assuming that each horse has four feet and each geese has two feet, we can write that:
[tex]4h + 2g = 84[/tex]
This yields a system of equations:
[tex]\displaystyle \left\{\begin{array}{l} h + g = 30 \\ 4h + 2g = 84 \end{array}[/tex]
We can solve it using substitution. From the first equation, isolate either variable:
[tex]g = 30 - h[/tex]
From the second, we can first divide by two:
[tex]2h + g = 42[/tex]
And substitute:
[tex]2h + (30 - h) = 42[/tex]
Combine like terms:
[tex]h + 30 = 42[/tex]
Subtract:
[tex]h = 12[/tex]
Therefore, there are 12 horses.
And since the total number of animals is 30, there must be 30 - 12 or 18 geese.
In conclusion, there are 12 horses and 18 geese.
Find the value of x.
Answer:
50
Step-by-step explanation:
each angle measurement has to equal 180°
100 Points. Need fast!
Answer:
SOH-CAH-TOA
Tan(angle) = Opposite side length/adjacent side lenght
Tan(49 deg) = h/900
Multiply both sides by 900:
900* tan(49deg) = h
Throw it into a calculator
h ≈ 1035.331566
Step-by-step explanation:
16. Plot the points P(-2,1), Q (2,1), R(3,2) and S(-1,2)
and write the name of the figure thus obtained.
Answer:
I don't knowwwwwwwwwwwww
Answer:
00000000000000000000000000
Step-by-step explanation:
00000000000000000
Simplify the following expression and show your work in details please .
Answer:
[tex]4m + 5 - 3m \\ = 4m - 3m + 5 \\ = 1m + 5 \\ = (m + 5)[/tex]
Given the expression:
[tex] \displaystyle \large{4m + 5 - 3m}[/tex]
To simplify the expression, notice that 4m and 3m have the same term.
These are called like terms. Let's see some examples of like terms.
x and 58x both are like terms because they have same x.90y and 35664y both are also like terms because they have same y.Then we also have the example of non-like term
50 and x both are not like terms because 50 is a constant and not a variable and x is not a number.920x and 790y both are not like terms because both have different variables.x and x^2 are not like terms as well because different degrees.In conclusion,
like terms have to be the same term and same degree.And that brings us to this topic, to evaluate or simplify the expression with two like terms and one non-like term.
Note that only like terms can evaluate. Let's see some examples:
5x+9x would be 14x since they are like terms and thus can be evaluated.x+x would be 2x. x is equivalent to 1x so 1x+1x = 2x. They are also like terms as well.How about a subtraction?
9x-2x would be 7x. x-x would be 0.10y-7y would be 3y.But what if it's non-like terms? Simple, we keep it like that!
8y+8z would be the same. They are not like terms so they cannot be evaluated.10x-7 would be the same as well. Not like terms.So to simplify the expression in the question, we evaluate like terms first!
Since 4m and 3m both are like terms. We can do 4m-3m.
[tex] \displaystyle \large{4m + 5 - 3m} \\ \displaystyle \large{4m - 3m + 5} [/tex]
Evaluate 4m-3m
[tex] \displaystyle \large{1m + 5} [/tex]
We don't usually write 1m so we keep as m instead.
[tex] \displaystyle \large{m + 5} [/tex]
Now, can we evaluate m+5? No, because m and 5 are not like terms so we keep like this.
Hence, the answer is m+5
Simplify show step by step 30 POINTS!
What you want to do at the beginning is to "Keep-Change-Flip" the fractions. You're going to keep the first fraction the same, change the divide sign to a multiply sign, and flip the second fraction.
Next, you'll have to factor, and then you can cancel out common components.
Solve for r: 3r+2-r=-4
Answer:
r = -3
Step-by-step explanation:
3r + 2 - r = -4
2r + 2 = -4
2r = -6
r = -3
Answer:
r = -3
Step-by-step explanation:
3r + 2 - r = -4 (Given)
2r + 2 = -4 (Simplify)
2r + 2 - 2 = -4 - 2 (Subtract 2 on both sides)
2r = -6 (Simplify)
2r/2 = -6/2 (Divide 2 on both sides)
r = -3 (Simplify)
8= 8 + 4x +5x
can anyone help me with this
Answer:
0= x
Step-by-step explanation:
8= 8 + 4x +5x
Combine like terms
8 = 8+9x
Subtract 8 from each side
8-8 =8+9x-8
0 = 9x
Divide by 9
0/9 = 9x/9
0= x
If four times a certain number, increased by 6 is equal to 94, what is the number?
If x represents the number, then which of the following equations could be used to solve the problem?
4x + 6 = 94
x + 6 = 4(94)
4(x + 6) = 94
Answer:
4x + 6 = 94 could be used to solve the problem
can someone pls give answer to number 4
Step-by-step explanation:
Supplement= 180°- 13°
167° Answer
Answer:
167°
Step-by-step explanation:
Supplementary angles, by definition, when combined will give a total angle measurement of 180°.
One of the given angle measurements is 13°. Subtract 13 from the total, 180:
180 - 13 = 167°
167° is the supplement angle.
~
evaluate the expression when x=3
Answer:
2. 12
5. 30
Step-by-step explanation:
Put 3 instead of x
2. [tex]\frac{36}{x}[/tex]
= [tex]\frac{36}{3}[/tex]
= 12
5. 10x
= 10 × 3
= 30
I need it help to find which statement is true ASAP!
Answer:
The first option
Step-by-step explanation:
If you check the first one we can verify that WX and ZY are perpendicular as shown with the 90 degree mark then we can see that WX is parallel with AB.
hen comparing more than two treatment means, why should you use an analysis of variance instead of using several t tests
find the distance between pooler and savannah if there are 2 cm apart on a map with a scale of 1 cm 4.5 miles
Answer:
9 miles
Step-by-step explanation:
I have to ask here too: are you sure you have this description right ? because cm and miles are usually not used in combination.
but fine.
1 cm <-> 4.5 miles
2 cm <-> ? miles
remember questions like "if 1 apple costs $1.10, how much are 2 apples or 5 or 10 apples ?"
you remember what you had to do ?
pretty common sense : you multiplied the price by the same number that you multiplied the unit count number with. so, in my example, by 2, by 5 and by 10. and you got $2.20, $5.50 and $11.00 as prices.
so, what do you think we need to do to calculate the miles that are residents by 2 cm on the map ?
right ! we need to multiply by 2 - because 2×1 = 2.
so, 4.5 × 2 = 9 miles
yes, if 1 cm on the map stands for 4.5 actual miles, then 2 cm stand for 2×4.5 = 9 actual miles.
You borrow $7000 to help pay your college expenses. You agree to repay the loan at the end of 7 years at 9% interest, compounded quarterly. (Round your answers to two decimal places.)
(a) What is the maturity value of the loan?
Answer:
?
Step-by-step explanation:
So first, you need to multiply 7 by four to get the quarterly part of it, which will be 28. Then, multiply 9% (.9) by your 28 to get 25.2. Finally, multiply that by 7,000 to get 176,400...
If the scale on a map shows 1 in. = 100 mi., and you determine that two cities are 5.5 in. apart, how many actual miles is this? Question 11 options: 55 mi. 550 mi. 0.005 mi. 5.5 mi.
Answer:
550 mi. !!!!
Step-by-step explanation:
Answer: 550 miles
Work Shown:
1 in = 100 mi
5.5*(1 in) = 5.5*(100 mi) ..... multiply both sides by 5.5
5.5 in = 550 mi
giải các phương trình vi phân sau
y' - y/x+1 = 2
It looks like the differential equation is
[tex]y'-\dfrac y{x+1}=2[/tex]
Multiply both sides by 1/(x + 1) :
[tex]\dfrac{y'}{x+1}-\dfrac y{(x+1)^2} = \dfrac2{x+1}[/tex]
The left side is now a derivative of a product,
[tex]\left(\dfrac y{x+1}\right)' = \dfrac2{x+1}[/tex]
Integrate both sides with respect to x :
[tex]\dfrac y{x+1} = 2\ln|x+1|+C[/tex]
Solve for y :
[tex]y = 2(x+1)\ln|x+1| + C(x+1)[/tex]
what is the radius of a circle with the end points (-1,-2) and (5,3)
Answer:
d= 7.81
r= 3.905
Step-by-step explanation:
5,356+2,398
=(5,356+2)+ (2,398 + 2)
5,358+2400=7,758
is kElly's answer correct? what mistake did she make?
Answer:
No because she added 2 instead of 2398. She thought the 2 was separate because of the comma separating the 2 thousand. She also made a mistake by thinking she could add easily by adding 2 to 2398 to make 2400.
The addition of the given numbers is 7,758.
Use the concept of addition defined as:
In mathematics, addition is an arithmetic operation that combines two or more numbers to produce a sum.
It is a fundamental operation used to calculate the total or the result of combining quantities. When adding numbers, you start with the first number, and then incrementally add subsequent numbers to obtain a final sum. The order in which numbers are added does not affect the result, thanks to the commutative property of addition.
This fundamental concept of addition forms the basis for more advanced mathematical operations and problem-solving techniques.
The given numbers are:
5,356+2,398
Now simply add these numbers:
5 3 5 6
+2 3 9 8
7 7 5 4
Hence,
The addition of the given numbers is 7,758.
To learn more about the addition visit:
https://brainly.com/question/25421984
#SPJ3
Which of the following sequences of transformations is used to obtain figure E’F’G’H’ from EFGH?
Answer:
is there a picture that go with the problem
Step-by-step explanation:
What is 596 in Roman Numerals?
The answer you are looking for is DXCVI.
D=500.
X=10.
C=100.
V=5.
I=1
Solution:
So,
500+(100-10)+5+1
500+90+5+1
596
Therefore, DXCVI=596.
Answer:
596 in Roman Numerals should be DXCVI
can someone help me please
Answer:
The equation in y = mx+b form is y = (4/3)x - 20/3
The equation in Ax+By = C form is 4x - 3y = 20
There are other ways to express the second equation.
==============================================================
Explanation:
First we must complete the square for x and y.
This will get the equation into (x-h)^2+(y-k)^2 = r^2 form so we can determine the center.
x^2+y^2 - 8x-14y + 40 = 0
(x^2-8x) + (y^2-14y) + 40 = 0
(x^2-8x+16 - 16) + (y^2-14y+49-49) + 40 = 0
(x^2-8x+16) + (y^2-14y+49) + (-16-49+40) = 0
(x-4)^2 + (y-7)^2 = 25
(x-4)^2 + (y-7)^2 = 5^2
This circle is centered at (h,k) = (4,7) and it has radius r = 5.
----------------------
Next, we need to find the slope of line AB such that
A = (4,7) = center of the circle
B = (8,4) = point on the circle, which is the point of tangency
m = slope
m = (y2-y1)/(x2-x1)
m = (4-7)/(8-4)
m = -3/4
The slope of line AB is -3/4. Any perpendicular slope will have us do two things:
flip the fractionflip the signthat would get us from -3/4 to +4/3 or just 4/3.
The perpendicular slope is 4/3.
----------------------
So we must find the equation of the line with slope m = 4/3 and it goes through (x,y) = (8,4)
That means,
y = mx+b
4 = (4/3)*8 + b
4 = 32/3 + b
4 - 32/3 = b
12/3 - 32/3 = b
(12-32)/3 = b
-20/3 = b
b = -20/3
Therefore, the equation of the tangent line is y = (4/3)x - 20/3
Optionally, we can get this equation into standard form like so
y = (4/3)x - 20/3
3y = 4x - 20 ... multiply everything by 3
3y-4x = -20
-4x+3y = -20
4x - 3y = 20
The diagram is shown below.
Evaluate the expression: ab + 2 – 1 Use a = 3 and b = 4
Answer:
[tex]ab + 2 - 1 = ab + 1 \\ a = 3 \\ b = 4 \\ then \: 3 \times 4 + 1 \\ = 12 + 1 = 13 \\ thank \: you[/tex]
4. A craft store offered sewing classes on 12 of the 30 days in November.
What decimal is equivalent to the fraction of days in Movember that classes were
offered at the restaurant?
A
0.4
C. 0.5
B.
0.6
D. 0.3
Answer:
A. 0.4
Step-by-step explanation:
Write 12 of 30 as a fraction:
12/30
Convert this to be a fraction over 100 by setting up an equation:
Variable x = proportional answer to 12/30
12/30 = x/100
Cross multiply:
12 × 100 = 30 × x
1200 = 30x
40 = x
40/100
Convert this number into a decimal by adding a zero and decimal point before the "4" in 40:
0.40
Simplify:
0.40 = 0.4
I converted it into a decimal through the use of fractions, but you can also find the answer by doing long division: 12 ÷ 30. However, showing work for long division over a message is too complex so I solved the problem this way instead.
Translate into a variable expression. c less than 33
Answer:
33 - C
Step-by-step explanation:
A speed limit of 65mph
If your car is traveling 65 miles per hour, then it is also going 343,200 feet (65 × 5,280 = 343,200) per hour. Then, you can divide the total feet per hour by 60, and you know that your car is traveling 5,720 feet per minute.
Terrell Davids' charge account statement shows an unpaid balance of $110.00. The
monthly finance charge is 2 percent of the unpaid balance. What is the new account
balance?
Answer:
Step-by-step explanation:
New Balance = 110 + 110*2/100
New Balance = 110 + 2.20
New Balance = 112.20
e) sp Rs. 110, propit percent =10%,cp
=?
Answer:
the answer of this question is rs99
Help!
Find the value of x for which ABCD must be a parallelogram.
Let f(x) = x - 2 and g(x) = x2 – x. Find and simplify the expression.
(f+g)(-3)
Answer:
f+g = (x-2)+(x²-x)
= x²-2
(f+g)(-3) = -3(x²-2)
-3x²+6
Step-by-step explanation:
follow the expression (f+g)(-3)
In the figure, x= ?, y= ?, and z= ?
Answer:
x = 95
y = 147
z = 128
Step-by-step explanation:
x can be found by using the exterior angle triangle theorem, where, when you add the two opposite angles, it equals the measure of the exterior angle. In this case, 50 + 45 = 95.
The same theorem can be used to solve for y. 95 + 52 = 147
We see that angle z is composed of a linear pair, and we have one of the angle values, so just do 180 - 52 and you get 128.