Answer:
[tex] x = \frac{1}{2} y + 3[/tex]
Step-by-step explanation:
[tex]y = 2x - 6 \\ y + 6 = 2x \\ \frac{y + 6}{2} = x \\ \frac{y}{2} + 3 = x \\ \huge \red{ \boxed {x = \frac{1}{2} y + 3}}[/tex]
A farmer rents pastureland for 8$ per acre plus a monthly fee of $200. Write an expression that can be used to find the total monthly cost. Then find the cost of renting 25 acres
Answer:
A. [tex] 8n + 200 [/tex], $400.
Step-by-step explanation:
Monthly rent per acre for pasture land = $8
Additional monthly fee = $200
Let n represent the number of acres.
Therefore, expression for the total monthly cost would be:
[tex] 8n + 200 [/tex].
If the farmer wants to rent 25 acres of pasture land, the expression, [tex] 8n + 200 [/tex], can be used in calculating the total cost by simply plugging in the value of n, which would be 25 in this case.
Total monthly cost for 25 acres = [tex] 8(25) + 200 [/tex].
[tex] = 200 + 200 [/tex]
[tex] 400 [/tex].
Total monthly cost = $400
For which values of a the system has no solution: x≤5, x≥a
Given:
The system of inequalities is
[tex]x\leq 5[/tex]
[tex]x\geq a[/tex]
To find:
The values of a for which the system has no solution.
Solution:
We have,
[tex]x\leq 5[/tex] ...(1)
It means the value of x is less than or equal to 5.
[tex]x\geq a[/tex] ...(2)
It means the value of x is greater than or equal to a
Using (1) and (2), we get
[tex]a\leq x\leq 5[/tex]
But if a is great than 5, then there is no value of which satisfies this inequality.
Therefore, the system has no solution for a>5.
7n-(4n-3) simply to create a equivalent expression?
Answer:
3n + 3
Step-by-step explanation:
Step 1:
7n - 4n + 3
Answer:
3n + 3
Hope This Helps :)
The equivalent expression is 3n + 3.
To simplify the expression 7n - (4n - 3), distribute the negative sign inside the parentheses:
7n - (4n - 3) = 7n - 4n + 3
Simplifying further, combine like terms:
7n - 4n + 3 = (7n - 4n) + 3 = 3n + 3
To know more about equivalent here
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PLZ Help
This is due by 2:20
Answer:
The answer is 60 degrees.
Step-by-step explanation:
The three angles in any triangle add up to 180 degrees.
You know by the box at the bottom right that it's a right triangle and therefore that angle is 90 degrees. They also give you the 30 degree angle at the bottom left. So:
90 degrees + 30 degrees = 120 degrees.
180 degrees (total) - 120 degrees (first 2 angles) = 60 degrees (missing angle)
Hope this helps!
Find the surface area of a square pyramid if the area of the base is 324 cm squared and the height is 40 cm.
Answer:
height h = 324 cm
slant height s = 324.61669704438 cm
side length a = 40 cm
lateral edge length e = 325.23222472566 cm
1/2 side length r = 20 cm
volume V = 172800 cm^3
lateral surface area L = 25969.33576355 cm^2
base surface area B = 1600 cm^2
total surface area A = 27569.33576355 cm^2
Step-by-step explanation:
Total Surface Area of a square pyramid:
A = L + B = a^2 + a√(a^2 + 4h^2))
A = a(a + √(a^2 + 4h^2))
Agenda:
h = height
s = slant height
a = side length
e = lateral edge length
r = a/2
V = volume
L = lateral surface area
B = base surface area
A = total surface area
Marissa drives from her house to work at an avg speed of 40mph. She drives home sameroute at 60mph. Entire round trip is 45 minutes, what is her avgspeed in mph?
Answer:
50mph
Step-by-step explanation:
to to find the mean you add 40 + 60. which equals 100 then divide by the amount a variables which is two.
ASAP
Sales tax is calculated as a percentage of the sales price. If sales tax is 6%, what is the sales tax on clot that cost 180
$6.00
O $9.80
$10.80
O $18.60
Please help I'm stuck
Answer:
I'm stuck to.
Step-by-step explanation:
is there suppose to be an angle or a triangle?
A mother gives birth to a 9 pound baby. Every 2 months, the baby gains 3 pounds if x is the age of the baby in months,then y is the weight of the baby in pounds.
Find an equation of a line in the form y=Mx+b that describes the baby’s weight
Answer:
y=1.5x+9
Step-by-step explanation:
We can first write in 9 as b because the baby already started at 9 pounds, meaning the line showing the weight will also start from 9.
The question tells us that the baby grows 3 pounds every 2 months. In the equation, x represents months. We need to convert the rate of growth into 1 month to write in as the slope.
[tex]\frac{3pounds}{2 months} = \frac{1.5 pounds}{1 month}[/tex]
Now we know every month, the baby grows 1.5 pounds, which represents the rate of change, or M, in the equation.
jonshelle is developing a new bread recipe. The relationship between cups of water, w, and cups of flour, f, is w=3/5f what is the scale factor of water to flour?
Answer:
The scale factor of water to flour is simply 3/5 or 3 to 5
Step-by-step explanation:
Here, we are interested in knowing the scale factor of water to flour.
To know this, we simply will rearrange the given equation;
w = 3/5f
Divide both side by f
w/f = 3/5
This shows that the scale factor of water to flour is 3 to 5 or simply 3/5
Analyze the diagram below and complete the instructions that follow. If ON = MN, find MN. A. 4 B. 5 C.4 sqrt{2}]. D 4 square root 30
Answer:
C. 4 sqr 2, sorry for the answer being late, hope this helps some one tho :)
Step-by-step explanation:
I took the quiz and got it correct
Answer:
The answer would indeed be C.
Step-by-step explanation:
Was in my test on edg.
On January 1, 2009, Jessica owed $10,212 to her friend Sam, who was kind enough not to charge Jessica any interest. Each month during 2009, Jessica paid Sam some of the money she owed. If Jessica still owed Sam $6,612 on January 1, 2010, what was the average amount of Jessica's monthly payments?
Answer:
551
Step-by-step explanation:
6612 divided by 12 ( number of months) =551
Express the ratio AC/DF in simplest form
Answer:
[tex] \frac{n}{28 \: cm}[/tex]
Step-by-step explanation:
AC = n, DF = 28 cm
[tex] \huge \red{ \frac{AC}{DF} }= \purple{ \frac{n}{28 \: cm}} \\ [/tex]
2(x + 3) – 10 = 4x
Can you also explain please. Thanks
Answer:
x=-2
Step-by-step explanation:
2(x+3)-10=4x
2x+6-10=4x
6-10=2x
-4=2x
-2=x
Answer:
x = -2
Step-by-step explanation:
First distribute the 2 with x and 3
Equation should look like... 2x + 6 - 10 = 4x
Second combine like terms, 6 and -10
Equation should look like... 2x - 4 = 4x
Third bring 2x to the other side making it -2x and subtract it from 4x
Equation should look like... -4 = 2x
Last divide -4 and 2.
Equation should look like... x = -2
The price for video game A is $15 more than the price for video game B. If the total of these two prices is $39, find the price of each game.
and the cost for video game B is $
The cost for video game A is $
(Type integers or decimals.)
Answer:
Video Game A: $27
Video Game B: $12
Step-by-step explanation:
First, I divide the total in approximately half ($20 and $19). Since the difference between these two numbers is already $1, I only have to make the difference $14. I do this by dividing $14 in half ($7 and $7) and subtracting $7 from $19 and adding $7 to $20. So, video game A costs $27 and video game B costs $12. Also, to check the answer: $27 is $15 more than $12 and $27 + $12 is $39.
solve the inequality 5f+7[tex]\leq[/tex]22
a f[tex]\geq[/tex]6
b f[tex]\leq[/tex]3
c f[tex]\leq[/tex]10
d f[tex]\geq[/tex]15
Answer:
[tex]f \leqslant 3[/tex]
Step-by-step explanation:
[tex]5f + 7 \leqslant 22 \\ 5f \leqslant 15 \\ f \leqslant 3[/tex]
What are two different methods you can use to withdraw money from your checking account?
Answer:
You can withdraw by automatic electronic transfer, check, ATM card or debit card. There are many ways these days to withdraw money from your accounts.
Complete each ratio table to solve each problem.
11 To make 5 apple pies, you need about 2 pounds
of apples. How many pounds of apples do you need
to make 20 apple pies?
Answer:8 pounds to make 20 apple pies
HELP What is the perimeter of this rectangle?
Answer:
7×2=14 (for the long side)5×2=10 (for the short sides) the you add up the two answers 14+10=24
Compare -9 and square root -9
Answer:
-9 < 3i
Step-by-step explanation:
3i is bigger than -9 because 3i² is equal to -9
i means imaginary number
Hope this helps!
A small Learning Center holds twenty-four less students than a large Learning Center. Together the Learning Centers hold seventy-two students. How many students does each Learning Center hold?
Answer:
A small learning center holds 48 students
Step-by-step explanation:
A small Learning Center holds twenty-four less students than a large Learning Center. Together the Learning Centers hold seventy-two students. How many students does each Learning Center hold?
72-24=48
f(x)=3x 2 +16 Find f(-1)
Answer:
X-18/3
Step-by-step explanation:
Assuming you meant 3x+18
The inverse f(-1) of the equation is above.
30 points!!!
To convert measurements in the metric system, you can move the decimal point left or right. Why does this work? The metric system only uses decimal numbers. Converting in the metric system does not involve multiplication or division. The metric system is based on powers of 10. The metric system does not have conversion factors.
Answer:
Because it could be negitive or positive that chooses where the decimal goes it can either go left or right
hope this helps :)
Answer:
its c trust me :)
Step-by-step explanation:
HELLLP!!!!!!!!!!! PLS
Answer:
3 * 4/4 = 12/4
12/4 + 1/4 = 13/4
One fraction: 13/4
Mixed number [tex]3 \frac{1}{4}[/tex]
4. Between which two whole
numbers does V150 lie?
Answer:
12 & 13
Step-by-step explanation:
trust me
Perpendicular lines AB and CD intersect at point E. If m ZAED = x+ 20, what is the value of ?
160
110
90
70
Answer: the value would be 90
Step-by-step explanation:
Which of these cannot be a whole
number?
A a positive integer
B a negative integer
C a rational number
graph y minus 3 equal one half (x+2)
Please answer this!
Who invented maths?
Answer:
ancient greek invented math
Which describes an atom that has fewer neutrons and protons and more electrons than protons
Answer:
Negative charged ion :)
Answer:
Negative charged ion
Step-by-step explanation: