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
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
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
A bus and a truck leave a gas station at the same time and are headed to the same destination. If the bus traveled 110 miles in 2 hours, and the truck traveled 180 miles in 3 hours, who is on pace to reach the destination first?
Answer:
The truck is on pace.
Step-by-step explanation:
To find which truck will arrive first, you need to find each vehicle's mph. To get the mph of each vehicle you just need to divide the distance by time.
Bus: 110 (miles) ÷ 2 (hours) = 55 (miles per hour)
Truck: 180 (miles) ÷ 3 (hours) = 60 (miles per hour)
When you do this you can see the mph of the bus is < the mph of the truck.
If you have any questions please leave them in the comments.
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.
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
Which Is The Correct Classification And Decimal Expansion of 3/8
Answer:
3/8 = 0.375
Step-by-step explanation:
I used a calculator
Guys pls answer this for me in a minute it is really hard
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
Math I need help 8th grade
Answer:
Part A x=60
Step-by-step explanation:
68+52= 120
180-120=60
So x=60
3.What is the area of a Square with sides measuring 9 inches?
Answer:
81
Step-by-step explanation:
length times width = area
Answer:
81 inches.
Because 9
Step-by-step explanation:
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
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
Square root of 244 simplified radicals
Answer:
Exact Form:
2√61
Decimal Form:
15.62049935…
Step-by-step explanation:
I think lol
need these 3 problems answered
1.(2x-3)^2+24=0
2.(3x+1)^2-49=0
3.3x^2-12x=-45
Answer:
ummm ................
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. :)
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
Describe the transformation
A) translation 2 units down
B) reflection across y=-1
C) reflection across the x-axis
D) across the y-axis
Answer:
C.
Step-by-step explanation:
Write the proportional equation that represents the table below.
HELP ME PLEASE HURRY
Answer:
x=-2
Step-by-step explanation:
4. Evaluate the following expression for r= 5.
2(r2 - 8)
Answer:
The expression is equal to 4
Step-by-step explanation:
Given the expression 2(r2-8) and the equality for the variable r = 5. It is best to substitute this equality into the expression to solve for its corresponding value:
2(r2-8) =
2(2(r)-8),
2(2(5)-8),
2(10-8),
2(2),
4
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
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.
What is the solution to the system of equations?
Answer:
(2, - 4 )
Step-by-step explanation:
Given the 2 equations
x + 2y = - 6 → (1)
3x + y = 2 → (2)
Multiplying (2) by - 2 and adding to (1) will eliminate the term in y
- 6x - 2y = - 4 → (3)
Add (1) and (3) term by term to eliminate y
- 5x = - 10 ( divide both sides by - 5 )
x = 2
Substitute x = 2 into either of the 2 equations and solve for y
Substituting into (1)
2 + 2y = - 6 ( subtract 2 from both sides )
2y = - 8 ( divide both sides by 2 )
y = - 4
Solution is (2, - 4 )
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.
HELP!! What is the value of B in terms of pie?
Answer:48
Step-by-step explanation:
Answer:
48
Explanation, cone with it's height to the value.
A dozen of roses cost $64.44. How much did each rose cost?
Answer:
5.37
Step-by-step explanation:
if 12 roses cost 64.44 and the price of one is x then
12x=64.44
x=64.44/12
x=5.37
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