A sequence of steps for solving the equation 3(x - 2) = 4 is shown. Match a property to each blank box to show the reason for each step. Question 6 options: 3(x - 2) = 4 3x - 6 = 4 3x = 10 x = 103 1. Given 2. Distributive Property 3. Addition property of equality 4. Division property of equality
Step-by-step explanation:
Given the equation;
3(x-2) = 4
A sequence of steps for solving the equation is as shown;
Step 1: Open the parenthesis by applying distributive law to distribute 3 over x and 2 as shown;
3(x-2) = 4
3(x)- 3(2) = 4
3x - 6 = 4
Step 2: Add 6 to both sides of the equation (Addition property)
3x-6+6 = 4+6
3x = 10
Step 3: Division property of equality. Divide both sides by 3;
3x = 10
3x/3 = 10/3
x = 10/3
At a noodles and company restaurant, the probability that a customer will order a non alcoholic beverage is .53. Find the probability that in a sample of 12 customers at least 9 will order an non alcoholic beverage
The question is below (This an order of operation question)
Answer:
lcm of 3 and 9 is 9
3/4 - 3/4 × ( 2/3 + 1/9 )
0/4 × ( 6/9 + 1/9)
0 × 7/9
0
the answer is zero....
Step-by-step explanation:
when u substract and number by itsself u get 0...
when u multiply 0 by a number you get 0...
i hope this helps...
please give me brainliest if possible......
have a great day ahead :)
Answer: 0. 166
Step-by-step explanation: I used the demos scientific calculator I suggest using it it's awesome!
I need help. Thanks
Answer:
D
Step-by-step explanation:
surface of the semicircle is
1/2*π*r^2=1/2*π*(10/2)^2=1/2*π*5^2
=1/2*π*25=(25/2)*π=12,5*π=12.5*3.14=39.25 approximately 39 square units
surface of the right triangle is
(6*8)/2=48/2=24 square units
so the surface of the shaded area is
surface of the semicircle minus the surface of the right triangle.
39-24=15 square units
How would you write 1/256^-4 using a positive exponent
Answer:
Step-by-step explanation:
[tex]\dfrac{1}{256^{-4}}=256^4[/tex]
because for a real and n integer
[tex]a^{-n}=\dfrac{1}{a^n}[/tex]
take n = -4, so -n = 4, and a =256
thanks
help me please
Select the correct answer.
What is the product of
Answer: It's A. -7.
Step-by-step explanation: I've attached an Image of my work.
Answer:
A. -7
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define expression
[tex](\frac{7}{8} )(-16)(-7)(\frac{-1}{14} )[/tex]
Step 2: Evaluate
Multiply: [tex](\frac{-112}{8}) (-7)(\frac{-1}{14} )[/tex]Multiply: [tex](\frac{784}{8})(\frac{-1}{14} )[/tex]Multiply: [tex]\frac{-784}{112}[/tex]Divide: [tex]-7[/tex]You buy 4 cases of bottled water and 5 bottles of fruit punch for a birthday party. Each case of bottled water cost $2.75, and each bottle of fruit punch coast $1.35. You hand the cashier a $20 bill. How much change will you receive? Hurry! It’s do today!
Answer:
$2.25
Step-by-step explanation:
Change
= $20 - total price of the items bought
Total price of bottled water
= 4($2.75)
= $11
Total price of fruit punch
= 5($1.35)
= $6.75
Change
= $20 -($11 +$6.75)
= $20 -$17.75
= $2.25
Please help! It's due soon.
the picture is the only thing that matters.
Consider these functions:
For x ≥ 0, the value of f(g(x)) is __
For x ≥ 0, the value of g(f(x)) is __
For x ≥ 0, functions f and g __ inverse functions
Answer:
Because f(g(x)) = g(f(x)) = x, f and g are inverse functions.
Step-by-step explanation:
f(g(x)) = f([tex]\frac{1}{4}\sqrt{x}[/tex]) = [tex]16(\frac{1}{4}\sqrt{x} ) ^{2} = 16(\frac{1}{16}x)=x[/tex]
g(f(x)) = g [tex](16x^{2}) = \frac{1}{4}\sqrt{16x^{2} } = \frac{1}{4}(4x) = x[/tex]
Answer:
X
X
are
Step-by-step explanation:
Seven more than twice a number is equal to 21
Answer:
x = a number
7 + 2x = 21
Subtract 7 from both sides
2x = 14
Divide both sides by 2
x = 7
7 is the only number that makes this sentence true.
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
Do the steps in reverse
Subtract 7 from 21
14
Then divide by 2
7
Hope this helps :)
Please consider Brainliest :)
May you please help im begging ii will give out branilyist
Answer:
A
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
5 times 4 is 20 divided by 2 is 10 hope this helps
Write the equation of a line that is parallel to the line y=3/2x-4 and contains the point (6,-1)
Answer:
y = 3/2x - 10
Step-by-step explanation:
Parallelism: The same slope but different intercepts
1 - Using the slope and point given find the new y intercept
y = 3/2x + b
-1 = 3/2(6) + b
-1 = 18/2 + b
-1 = 9 + b
-9 -9
-10 = b
2 - Write the new equation using the same slope but different y-intercepts
y = 3/2x + b
y = 3/2x - 10
Complete the chart by dragging and dropping the correct value into the table.
64 oz =
_________ lbs
5 gal =
_________ qt
660 yds =
________ mi
¼ miles =
________ yds
24 oz =
_________ c
4 c =
_________ oz
24 ft =
_________ yds
4 mi
_________ ft
2 ¼ T =
_________ oz
40 oz =
_________ qt
Answer:
64 oz= 4 lbs
5 gal= 20 qt
660 yds = 0.375 miles
¼ miles = 440 yds
24 oz = 3 cups
4 c = 32 oz
24 ft = 8yds
Step-by-step explanation:
Which multiplication expression is equal to 1/4 divided by 1/3
Next year, the company needs to earn 205% more money than this year. This year the company earned $10,300.
How much more money needs to be earned next year?
A
$211,150
B
$25, 750
C
$21,115
Answer:
the answer is c
Explanation:reason why I c chose is because add up every thing and multiply to see how much the company would get
Answer:
answer is 21,115 c
Step-by-step explanation:
Please help me with this as soon as you can. I have no idea how to do it so please help me.
Answer:
It's definitely not parallel... I think it's neither...
Step-by-step explanation:
Tip: if it is parallel, the slope is the same. The formula for finding slope is y two minus y one divided by x two minus x one.
The students in Ms. Garris's class collected items to put in gift baskets for the Senior Center. They collected 12 magazines, 24 bottles of lotion, and 36 packs of sugar free gum. If the students divided the items evenly among the baskets, what is the greatest number of baskets they will be able to make?
Answer:
24 :)
Step-by-step explanation:
12 divided by 3 = 4
24 divided by 3 = 8
36 divided by 3 = 12
4 + 8 = 12
12 + 12 = 24
Question 3 :
Furniture of vendor firm recorded in
the books at Rs.2,50,000, were taken
over by the partner at an agreed
value of Rs.1,75,000, the amount to
be debited to partners' capital
account will be:
Rs. 2,50,000
Rs.75,000
Rs.4,25,000
Rs. 1,75,000
Answer:
Rs. 2,50,000
Step-by-step explanation:
When a partnership distributes inventory items (hot asset) to its partners, the basis of the inventory items is used to record the transaction. Only when partnerships distribute assets other than hot assets will the fair market value of the assets be used to record the transaction.
The logic is that inventory items are valued at lower of cost or market value. This means that inventory items are already valued at FMV or cost, whichever is less. If the partnership recorded the transaction using Rs.1,75,000, then it would have to record a loss, and distributions cannot generate losses to a partnership. The only way to record the inventory items at Rs.1,75,000 is that previously the partnership writes down inventory.
Y is less than 4:
y<4?
Correct me if I'm wrong.
Answer:
That’s correct
Step-by-step explanation:
y < 4 does mean that y is less than 4. if it helps. Wherever the open side is, means that one is greater. I always look at it like an alligator eating the bigger number
how many times does 33 go into 112?
Answer:
3.3939
rounded off = 3
33 goes in 112 3 times
Simplify by expressing with radicals 3 + sqrt3 = ?
Answer:
4.73205080757
Step-by-step explanation:
Answer:
3 +[tex]\sqrt{3}[/tex]= 4.73205
13. The population of a city is currently 45,000 and is declining at a rate of 2% each year. Estimate the population after a period of 5 years. Use the formula ƒ(t) = aert.
Given:
Initial population = 45,000
Decreasing rate = 2%
Time = 5 year
To find:
The population after a period of 5 years.
Solution:
Formula used:
[tex]f(t)=ae^{rt}[/tex]
where, a is initial population, r is rate and t is time.
[tex]r=\dfrac{2}{100}=0.02[/tex]
Decreasing rate represented by -0.02.
Substitute a=45000, r=-0.02 and t=5 in the above formula.
[tex]f(5)=45000e^{-0.02(5)}[/tex]
[tex]f(5)=45000e^{-0.1}[/tex]
[tex]f(5)=45000(0.904837418)[/tex]
[tex]f(5)=40717.68381 [/tex]
Approximate the value to the previous integer.
[tex]f(5)\approx 40717 [/tex]
Therefore, the population after 5 years is 40717.
Answer:
40,718
Step-by-step ex
The population of a city is currently 45,000 and is declining at a rate of 2% each year. Estimate the population after a period of 5 years. Use the formula ƒ(t) = aert. planation:
find the value of x and the measure of MNW
Answer:
VALUE OF X:
3x-13+61 = 90
3x+48 = 90
3x = 42
x = 14
MEASURE OF <MNQ:
3x-13
= 3(14)-13
= 42-13
= 29
A builder was building a fence. In the morning, he worked for 25 of an hour. In the afternoon, he worked for 910 of an hour. How many times as long as in the morning did he work in the afternoon?
Write a division equation to represent this situation, then answer the question.
9514 1404 393
Answer:
(9/10)/(2/5) = ratio of work times
2 1/4 times as long
Step-by-step explanation:
Given:
2/5 hours work in the morning
9/10 hours work in the afternoon
Find:
an equation for how many times as long was afternoon work compared to morning work
the equation solution
Solution:
a/m = r . . . . ratio of afternoon work to morning work
(9/10)/(2/5) = r . . . equation
(9/10)/(4/10) = r
9/4 = r = 2 1/4 . . . solution
The builder worked 2 1/4 times as long in the afternoon as in the morning.
Write the relation as a set of ordered pairs.
Please help. Thank you.
Answer:
a
Step-by-step explanation:
because it must write object first before image
Answer: A...
Step-by-step explanation:
they are literally lined up ¯\_(ツ)_/¯
Number 10 thank you ASAP
A parallelogram has a base of 9 units and a corresponding height of į units. What is its area?
Do not include units (square units) in your answer.
Answer:
[tex]Area = 9j[/tex]
Step-by-step explanation:
Given
[tex]Base = 9\ units[/tex]
[tex]Height = j\ units[/tex]
Required
Determine the area
Area of parallelogram is calculated as thus:
[tex]Area = base * Height[/tex]
Substitute values for Base and Height
[tex]Area = 9 * j[/tex]
[tex]Area = 9j[/tex]
Hence, the area of the parallelogram whose base is 9 units and height is j units, is 9j
Amy joined a DVD rental club. She paid an initial fee of $15.87 and it costs $0.82 per DVD she rents. The expression to show the total amount Amy paid to rent 6 DVDs is 15.87+0.82(6). What is the total cost Amy would pay in order to rent 6 DVDs?
Answer:
$45.34
hope this helps
Answer:
$20.79
Step-by-step explanation:
0.82(6) = 4.92
15.87 + 4.92 = 20.79
Find the slope of the line through the points (5, -3) and (5, 4)
Answer:
Infinity
Step-by-step explanation:
Let one point is x1, y1 (5, -3)
the other is x2, y2 (5,4)
then slope = (y1-y2)/(x1-x2)
=(-3-4)/(5-5)
=-7/0
=Infinity
So slop is infinite
For every 2 hours, approximately $1,087 worth of product is sold to consumers. How much money will the company for an entire month (30 days)?
Answer:
391,248 dollars
Step-by-step explanation:
Answer:
the answer is $39,128
Step-by-step explanation:
$1087 divided by 2 = 543.4
$543.4 worth of products is sold in 1 hour
$543.4 x 720 = $39,128
i got the 720 for the hours from 30 day so there is 720 hours in 30 days a whole month (24 x 30 =720)
i hope this helps ;)
sorry if im wrong
PLZ Help Urgent. 15 POINTS, BRAINLY Guaranteed.
Plz Answer honestly or you will be reported.
Expand.
(ab)^5
A: 5ab
B: 5a⋅5b
C: a⋅b⋅b⋅b⋅b⋅b
D: ab⋅ab⋅ab⋅ab⋅ab
Answer:
D)
Step-by-step explanation:
Ok when i saw this ^5 that means the power of five i honestly don't know this is my best guess