4. Write the equation of a line that passes through the point (-8, 2) and is parallel to the
line 3x – 2y = 12.
Answer:
3x - 2y = - 28
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
3x - 2y = 12 ( subtract 3x from both sides )
- 2y = - 3x + 12 ( divide all terms by - 2 )
y = [tex]\frac{3}{2}[/tex] x - 6 ← in slope- intercept form
with slope m = [tex]\frac{3}{2}[/tex]
Parallel lines have equal slopes, thus
y = [tex]\frac{3}{2}[/tex] x + c ← is the partial equation
To find c substitute (- 8, 2) into the partial equation
2 = - 12 + c ⇒ c = 2 + 12 = 14
y = [tex]\frac{3}{2}[/tex] x + 14 ← equation in slope- intercept form
Multiply through by 2
2y = 3x + 28 ( subtract 2y from both sides )
0 = 3x - 2y + 28 ( subtract 28 from both sides )
- 28 = 3x - 2y , that is
3x - 2y = - 28 ← equation in standard form
Marge's plan costs .14 cents per minute plus a monthly fee of $24. Dan's plan costs .12 cents per minute plus a monthly fee of $28. How many minutes (m) are required for both plans to cost the same for the month?
Answer:
6 min for Marge's and 7 for Dan's plan
Step-by-step explanation:
0.14x6=0.84
0.12x7=0.84
Steve is turning half of his backyard into a chicken pen. His backyard is a 242424 meter by 454545 meter rectangle. He wants to put a chicken wire fence that stretches diagonally from one corner to the opposite corner. How many meters of fencing will Steve need?
Answer:
51 meters
Step-by-step explanation:
The shape of the backyard is rectangular having a length, l=45 meters, and a width, w=24 meters as shown in the figure.
As wants to put a chicken wire fence that stretches diagonally from one corner to the opposite corner. So,
The length of fencing = The length of the diagonal AC or BD
As the length of both the diagonals of a rectangle are equals, AC=BD.
The length of fencing [tex]=\sqrt{l^2+w^2}[/tex] [length of the diagonal]
[tex]=\sqrt{45^2+24^2}=51[/tex] meters
Hence, Steve needs 51 meters of fencing.
GIVING BRAINLIEST!!! A student observes a beaker of room temperature water resting on a table. She states that the beaker of water does not have any energy. Which statement below is accurate regarding her observation?
a. She is correct because the beaker of water is not moving.
b. She is incorrect because the beaker of water has thermal energy.
c. She is incorrect because all water contains hydrogen and oxygen.
d. She is correct because the beaker of water is at room temperature.
Answer:
b
Step-by-step explanation:
What is 13 / 143 as a unit fraction
Answer:1/11
Just got it using some brain cells >:)
Answer:
1/11
Step-by-step explanation:
13/143=1/11
solve for x
-30=5(x+1)
Answer:
-7
Step-by-step explanation:
Please help, this is my first time! Here is the question: Maria earned a total of $504 the last two days. She worked 8 hours the first day, 4 hours the second day. How much did Maria earn every hour? Please show how you did it, this is my first time, so please help.
Answer:
$42 per hour
Step-by-step explanation:
Well,
She got $504 in total
8 + 4 = 12 (the total number of hours worked)
To find out how much she earned per hour you'll need to divide.
$504 ÷ 12
which equals $42
Answer:
Maria earned $42 per hour.
Step-by-step explanation:
First, we need to add the total amount of hours she worked.
8 + 4 = 12
Next, we need to divide 504 and 12 to see how much she earned per hour.
504 ÷ 12 = 42.
So, Maria earned $42 per hour.
I hope this helps you! Welcome to Brainly. Good luck and have a great day. :)
Miguel completed the division problem below. What is Miguel's error? A.He included a 5 in the quotient, which does not belong. B.He multiplied the divisor by 10 and the dividend by 100. C.He subtracted 208 from 234 incorrectly. D.He multiplied the divisor by 100 and the dividend by 10. 754 divided by 0.52. 52 StartLongDivisionSymbol 7540 EndLongDivisionSymbol minus 52 = 234. 234 minus 208 = 260. 260 minus 260 = a remainder of 0 and a quotient of 145.
Answer:
D. He multiplied the divisor by 100 and the dividend by 10.
Step-by-step explanation:
From the question: The following steps are given:
754 divided by 0.52.
754 = Dividend
0.52 = Divisor
Step 1
7540 ÷ 52
This is where he made his error,
He multiplied the divisor by 100 and the dividend by 10.
The correct step would be
To Multiply both the Divisor and the Dividend by 100
= 75400 ÷ 52
Option D is the correct option
Answer:
The answer is D
Step-by-step explanation:
Hope this helped! :)
-3 = 1 3/5 + m .
what is m
Answer:
m = -4 3/5 or -4.6
Step-by-step explanation:
First, we need to isolate the variable, m. We subtract 1 3/5 on both sides of the equation, and then we should get -4 3/5 = m.
hope this helped !! :D
a.What is the length of A’A?
b.What is the length of B’B
Both in units
Answer:
A'A = 18 units, B'B = 9 units
Step-by-step explanation:
Δ ACB and Δ A'CB' are similar triangles, thus the ratios of corresponding sides are equal, that is
[tex]\frac{AC}{A'C}[/tex] = [tex]\frac{AB}{A'B'}[/tex] , substitute values
[tex]\frac{AC}{12}[/tex] = [tex]\frac{20}{8}[/tex] ( cross- multiply )
8AC = 240 ( divide both sides by 8 )
AC = 30
Thus A'A = AC - A'C = 30 - 12 = 18 units
--------------------------------------------------------------------
and
[tex]\frac{CB}{CB'}[/tex] = [tex]\frac{AB}{A'B'}[/tex] , that is
[tex]\frac{CB}{6}[/tex] = [tex]\frac{20}{8}[/tex] ( cross- multiply )
8CB = 120 ( divide both sides by 8 )
CB = 15
Thus
B'B = CB - CB' = 15 - 6 = 9 units
The number of free spng to download is determined by usomg a ratio. When you purchase 40 songs, you get 24 free song download. How many songs must you purchase in order to get 6 free song downloads?
Answer:
10
Step-by-step explanation:
set up a proportion, 40/24 and x/6, 6 times 40 = 240, divide by 24 to get 10
A school has $15,000 to spend on computer monitors. The school plans to purchase 200 monitors for $89 each. A teacher completes the calculations below and concludes that the school has enough money to buy the monitors. 200 × 89 = (200 × 8) + (200 × 9) = 1,600 + 1,800 = 3,400
Answer:
Since the budget of the school is $15,000, the school does not have enough money to buy the monitors
Step-by-step explanation:
The school plans to purchase 200 monitors for $89 each.
This is the calculation of the teacher
200 × 89 = (200 × 8) + (200 × 9) = 1,600 + 1,800 = 3,400
The teacher's calculation is wrong
The correct calculation using Distributive property is
a(b + c) = ab + ac
200 × 89 = 200(80) + 200(9)
Because 80 + 9 = 89
Hence,
200 × $89 = 16000 + 1800
= $17,800
Since the budget of the school is $15,000, the school does not have enough money to buy the monitors
$17, 800 ≠ $15,000
Witch expressions is equivalent to 5(9+7)
Answer:
80
Step-by-step explanation:
cause I'm right and um a smart person
Answer:
80 cuz u gotta love pemdas
Write the proportional equation that represents the table below.
Math I need help 8th grade
Answer:
Part A x=60
Step-by-step explanation:
68+52= 120
180-120=60
So x=60
Candace is a salesperson at the local boat store. She receives a 14% commission on every sale that she makes. How much commission does Candace
make on a boat that sells for $1,995?
Answer: 00000
Step-by-step explanation:
Which Is The Correct Classification And Decimal Expansion of 3/8
Answer:
3/8 = 0.375
Step-by-step explanation:
I used a calculator
6(x – 1) = 9(x + 2)
Solve
Answer:
x=−8
Step-by-step explanation:
6(x−1)=9(x+2)
Step 1: Simplify both sides of the equation.
6(x−1)=9(x+2)
(6)(x)+(6)(−1)=(9)(x)+(9)(2)(Distribute)
6x+−6=9x+18
6x−6=9x+18
Step 2: Subtract 9x from both sides.
6x−6−9x=9x+18−9x
−3x−6=18
Step 3: Add 6 to both sides.
−3x−6+6=18+6
−3x=24
Step 4: Divide both sides by -3.
−3x/−3=24/−3
help me!!!!!!! I need help
Answer:
the answer is 8
Step-by-step explanation:
BC
Answer:
8
Step-by-step explanation:
18-inches is 1.5 feet.
12 divided by 18/25 is?!?!
Answer:
16.6
Step-by-step explanation:
12 divided by 18/25 is 16.66.
Given:
12 divided by 18/25
12÷18/25
12÷0.72
=16.66
What is division?Division is one of the four basic operations of arithmetic, the ways in which numbers are combined to form new numbers. To divide rational expressions, multiply the first fraction by the reciprocal of the second. If we rewrite division as the product of the first expression by the inverse of the second, we add them all and look for common factors.
The way something is shared is called a sharing method. There are three types of distribution methods according to the degree of difficulty. They are division method or division by repeated subtraction, short division method or bus stop method and long division method.
To learn more about division, refer;
https://brainly.com/question/21416852
#SPJ2
Guys pls answer this for me in a minute it is really hard
12. The table shows the height in feet of a stack of medium sized moving boxes. What is the height of a stack of 14 boxes
height = 2.25 * box.
So, 14 boxes = 2.25 * 14 = 31.5.
WILL GIVE BRAINLST FOR WHOEVER ANSWERS FIRST Which of the following equations is equivalent to 6(3p – 2) = 20?
Group of answer choices
9p – 4 = 20
9p – 8 = 20
18p – 12 = 20
18p – 2 = 20
1/2*x=3/4(x-2) what is the answer?
Answer:
x=6
Step-by-step explanation:
1/2x=3/4(x-2)
1/2x=3/4x-1.5 (distribute)
+1.5 +1.5
1/2x+1.5=3/4x
-1/2x -1/2x
1.5=1/4x
6=x
hope this helps
brainliest?
PLEASE ANSWER ASAP WILL MARK BRAINLEST
Paul and Dana both want to find the change from the 6 AM temperature to the new 12 PM temperature.
Paul says that you can use a number line and add the distance from 0 to the 6 AM temperature and from 0 to the new 12 PM temperature. Dana says that you can subtract -1.4 from the new 12 PM temperature.
Is either Paul or Dana correct> Explain your reasoning and find the change in temperature.
Answer:
Paul is correct
Step-by-step explanation:
You can add the distance of 0 to 6 AM and 0 to 12 PM, and doing so on a number line. On a number line you would add them and lets say 6 AM is 6 degrees and 12 PM is 12 degrees, you would add 6 and 12 to get 18. While doing so you would got 1 2 3 4 5 6 7 8 9 and so on. Thus, finding the difference.
I know I'm late but can I still get that brainliest
Check all fractions equivalent to 2⁄8.
Check all that are true.
1⁄2
1⁄6
4⁄16
1⁄4
4⁄12
Given f(x) = -x + 3, solve for x when f(x) = 4.
Answer:
x=-1
Step-by-step explanation:
f(x)=f(x)
-x+3=4
Some
One help me with this
Answer:
2/3
Step-by-step explanation:
Answer:
2/3
Step-by-step explanation:
Slope equals rise/run. You find one perfect point (-2,0) and another along the line (1,2)
You count how many units up (rise) from the first point to the second point, and then you go over (run) to the second point. Your rise over your run is your slope.
for the graph of g(x) pictured below, over which of the following intervals is g(x) only decreasing?
Answer:
2. -8 < x < -2
Step-by-step explanation:
The x-values of the line where the line slants downwards before it begins to slant upwards to the right, is the interval at which g(x) is decreasing only.
From the graph, at x = -8, y = -2. When x = -2, y = -5.
Between the intervals of x = -8 and x = -2, g(x) decreased from -2 to -5.
Therefore, the answer is: 2. -8 < x < -2
need these 3 problems answered
1.(2x-3)^2+24=0
2.(3x+1)^2-49=0
3.3x^2-12x=-45
Answer:
ummm ................