The first step is applying the distributive property for each product with parenthesis, so the first step is the third box.
Then, after calculating each individual product, we have:
\(\begin{gathered} \frac{1}{6}30x+\frac{1}{6}24-\frac{1}{7}63+\frac{1}{7}7x \\ =5x+4-9+x \end{gathered}\)So the second step is the seventh box.
Then, putting the like terms next to each other, we have:
\(5x+x+4-9\)So the third step is the second box.
Finally, adding the like terms, we have:
\(6x-5\)So the fourth step is the fifth box.
How far is the bottom of the ladder from the base of the house?
Find X to complete the following ratio. 12:5 = 24:X
Answer:
x = 10
Step-by-step explanation:
This is the answer because:
1) 12:5 is equivalent to the ration 24:10
2) This is because to get 24 you have to multiply 12 and 2 which is 24
3) Next, you have to do the same to the other side to make everything equal. Therefore, you have to multiply 5 with 2 which is 10.
4) Finally, your answer should be 24:10
Hope this helps! :D
Hiiii! Can someone help me plsss
Answer: 3/2
Step-by-step explanation:
Slope is the coefficient in front of x, slope tells you how you move when plotting on a graph.
pls help:)
a line passes through the point (-8,5) and has a slope of 5/4
Answer:
y=5/4x+5!
Step-by-step explanation:
Just a matter of replacing each of the letters with the proper part! M is the slope and b is the y intercept.
6. Mera is very health conscious and awards passport cakes, ice cream etc. On her birthday she decided to serve her friend guests. She had 60 bananas, 42 mangoes and 36 apples which are to be distributed equally among all. Answer the following questions based on the information given above. (i) How many maximum guests Meera can invite? (ii) How many mangoes will each guest get? (iii) How many total fruits will each guest get?
i) Meera can invite a maximum of 6 guests.
ii) Each guest will get 7 mangoes.
iii) Each guest will get a total of 23 fruits.
(i) To find the maximum number of guests Meera can invite, we need to find the greatest common factor (GCF) of the three given numbers - 60, 42, and 36.
Prime factorizing the three numbers, we get:
60 = 2 x 2 x 3 x 5
42 = 2 x 3 x 7
36 = 2 x 2 x 3 x 3
To find the GCF, we take the product of all the common factors raised to their lowest exponent:
GCF = 2 x 3 = 6
Therefore, Meera can invite a maximum of 6 guests.
(ii) Meera has 42 mangoes to distribute among the guests. Since she has to distribute them equally, we divide 42 by the number of guests:
42 ÷ 6 = 7
Each guest will get 7 mangoes.
(iii) Meera has a total of 60 + 42 + 36 = 138 fruits to distribute among the guests. Dividing this by the number of guests:
138 ÷ 6 = 23
Each guest will get a total of 23 fruits.
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what is a Pythagoras theorem
The Pythagoras theorem states that in a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides.
What is mathematical representation of Pythagoras theorem?From the given Pythagoras theorem above, the mathematical representation of the theorem would be written below as follows;
C² = a²+b²
Where:
'C' represents the hypotenuse which is the longest part of the triangle and is always diagonal connecting the two other points.'a' represents the perpendicular length that forms the angle 90° of the right angle triangle.'b' represents the base of the triangle.Learn more about Pythagorean formula here:
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Find the product using formula ...
formula = ( a + b ) ( a - b )
a) 1.2 × 2.8
Step-by-step explanation:
1.2 × 2.8
(2 - 0.8 )(2 + 0.8)
2² - (0.8)²
4 - 0.64
3.36
\(1.2 \times 2.8 \\ = (2 - 0.8)(2 + 0.8) \\ = {(2)}^{2} - {(0.8)}^{2} \\ = 4 - 0.64 \\ = 3.36\)
Answer:3.36
Hope it helps.
Do comment if you have any query
Merone Company allocates materials handling cost to the company's two products using the below data:
Modular Homes Prefab Barns
Total expected units produced 5,900 8,900
Total expected material moves 590 190
Expected direct labor-hours per unit 790 290
The total materials handling cost for the year is expected to be $325,890.
If the materials handling cost is allocated on the basis of material moves, the total materials handling cost allocated to the modular homes is closest to: (Round your intermediate calculations to 2 decimal places.)
Multiple Choice
$246,507.90
$160,629.00
$213,514.00
$238,382.50
Merone Company allocates materials handling cost to the company's two products using the below data:
Modular Homes Prefab Barns
Total expected units produced 6,000 9,000
Total expected material moves 600 200
Expected direct labor-hours per unit 800 300
The total materials handling cost for the year is expected to be $300,000.
If the materials handling cost is allocated on the basis of direct labor-hours, the total materials handling cost allocated to the prefab barns is closest to: (Round your intermediate calculations to 2 decimal places.)
Multiple Choice
$105,000.00
200,000.00
$150,204.00
$108,000.00
Spates, Incorporated, manufactures and sells two products: Product H2 and Product E0. Data concerning the expected production of each product and the expected total direct labor-hours (DLHs) required to produce that output appear below:
Expected Production Direct Labor-Hours Per Unit Total Direct Labor-Hours
Product H2 190 6.9 1,311
Product E0 190 5.9 1,121
Total direct labor-hours 2,432
The company’s expected total manufacturing overhead is $270,968.
If the company allocates all of its overhead based on direct labor-hours, the overhead assigned to each unit of Product H2 would be closest to: (Round your intermediate calculations to 2 decimal places.)
Multiple Choice
$222.84 per unit
$126.48 per unit
$768.80 per unit
$96.36 per unit
Doles Corporation uses the following activity rates from its activity-based costing to assign overhead costs to products.
Activity Cost Pools Activity Rate
Setting up batches $ 70.72 per batch
Processing customer orders $ 27.78 per customer order
Assembling products $ 12.81 per assembly hour
Data concerning two products appear below:
Product K52W Product X94T
Number of batches 66 53
Number of customer orders 46 31
Number of assembly hours 419 162
Required:
How much overhead cost would be assigned to each of the two products using the company's activity-based costing system? (Round your intermediate calculations and final answers to 2 decimal places.)
The total materials handling cost allocated to the modular homes is $246,372.84.
The total materials handling cost allocated to the Prefab Barns is closest to $108,000.
What is the total materials handling cost allocated?To allocate materials handling cost based on material moves, we must determine proportion of material moves for each product and then apply that proportion to the total materials handling cost.
Proportion of material moves for Modular Homes:
= (Total expected material moves for Modular Homes) / (Total expected material moves for both products)
= 590 / (590 + 190)
= 0.756
Total materials handling cost allocated to Modular Homes:
= Proportion of material moves for Modular Homes * Total materials handling cost
= 0.756 * $325,890
= 246 372.84
= $246,372.84.
To allocate the materials handling cost based on direct labor-hours, we need to determine proportion of direct labor-hours for each product.
For Modular Homes:
Total direct labor-hours for Modular Homes:
= 6,000 units * 800 hours/unit
= 4,800,000 hours
For Prefab Barns:
Total direct labor-hours for Prefab Barns:
= 9,000 units * 300 hours/unit
= 2,700,000 hours
Total direct labor-hours for both products:
= 4,800,000 hours + 2,700,000 hours
= 7,500,000 hours
Proportion of direct labor-hours for Prefab Barns:
= 2,700,000 hours / 7,500,000 hours
= 0.36
Allocated materials handling cost for Prefab Barns:
= Proportion of direct labor-hours for Prefab Barns * Total materials handling cost
= 0.36 * $300,000
= $108,000.
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A person of interest was identified by the police. Using three different telecommunication towers,
the police were able to gather the following information about the person's cell phone location.
• The person is 7 miles away from A(4,4.6).
• The person is 5 miles away from B(-3.5, - 3.8).
• The person is 6 miles away from C(-6, 5.5).
Use the information from towers A, B, and C to find the approximate location of the person of
interest.
Answer:
Well since he tracked the person through the communication towers he was able to gather information, with this information we can solve and find out how far this person is.
Step-by-step explanation: read above and trust
15. Many people swimming in a pool experience pain in their ears if they dive to the
bottom. Why is this?
A. Pressure increases as the depth of the water column above them increases.
B. The area of the pool is wider where it's deeper.
C. Pressure decreases as the depth of the water column above them increases.
D. The vapor pressure at the surface is removed.
Answer:
The answer is Ahope this helps
What is the measure of angle AED?
Answer:
Step by step explanation:
well this is simble you just do it
Find the sum of x + 0 and the opposite of 20
Please help me out with this question answer with steps please..
Answer:
Step-by-step explanation:
a) It has 3 terms.So, trinomial
b) It has one term. So, monomial
c) It has two terms. So, Binomial
d) It has 3 terms.So, trinomial
e) -9x - 2 + 3x = -9x + 3x - 2 = -6x - 2
It has 2 terms.So, binomial
f) It has 2 terms.So, binomial
g (x)=√-3x+6
Look at photo please
Answer:
\((-\infty,2)\)
Step-by-step explanation:
Since \(-3x+6\nless 0\), then \(x\ngtr 2\), therefore, the domain of the function is \((-\infty,2)\).
I don't understand quite how to do this one I don't know what angle I have to simplify I did it all together still I don't get it. If you answer this please show the step so I can better understand.
Answer:
x=18
Step-by-step explanation:
This two angles are complementary, which means that they both add up to 90. So we could set up the equation:
(4x+1)+(x-1)=90
5x=90
x=\(\frac{90}{5}\)
x=18
Have a nice day! :)
Ghana van company invested P45 700 for two years at a rate of 12%per annum compounded for quarter year. Work out the compound interest over the two years
\(~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$45700\\ r=rate\to 12\%\to \frac{12}{100}\dotfill &0.12\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years\dotfill &2 \end{cases}\)
\(A = 45700\left(1+\frac{0.12}{4}\right)^{4\cdot 2}\implies A=45700(1.03)^8 \implies A \approx 57891.39 \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{earned interest}}{57891.39~~ - ~~45700} ~~ \approx ~~ \text{\LARGE 12191.39}\)
properties of exponents. the answer is 1/2^12 i need help with the work
Step-by-step explanation:
Answer in attached image...
hope it helps
(2^-1 -2^-1 × 2^-4)^2
(1/2 - 1/2 × 1/2^4)^2
(1/2 - 1/2^5)^2
(1/2 - 1/32)^2
(16/32-1/32)^2
(15/32)^2
(15/2^5)^2
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can you help me in all these questions
The power company routes its lines as shown in the illustration. How much wire ( in yards) could be saved by going directly from A to E? yd
To solve this question we will use the following diagram:
Using the Pythagorean theorem for triangle AEO we get:
\(AE^2=AO^2+EO^2\text{.}\)Substituting AO=68 yd, and EO=285 yd we get:
\(\begin{gathered} AE^2=(68yd)^2+(285yd)^2, \\ AE^2=4624yd^2+84225yd^2, \\ AE^2=85849yd^2, \\ AE^2=293^2yd^2\text{.} \end{gathered}\)Therefore AE=293 yd. Now, the wire required for the long path is:
\(38yd+304yd+30yd+19yd=391yd\text{.}\)Therefore you could save:
\(391yd-293yd=98yd\)taking the short route.
Answer: 98yd.
Based on the table, what is the best prediction of the weight of a person of 62 inches?
Answer:
128lbs
Step-by-step explanation:
60% of 120lbs+40% of 140lbs
72+56
128
Someone help with this equation
The answer is:
g(x + 1) = 6x + 1
g(4x) = 24x -5
Work/explanation:
To evaluate, I plug in x + 1 into the function:
\(\sf{g(x)=6x-5}\)
\(\sf{g(x+1)=6(x+1)-5}\)
Simplify
\(\sf{g(x+1)=6x+6-5}\)
\(\sf{g(x+1)=6x+1}\)
------------------
Do the same thing with g(4x)
\(\sf{g(4x)=6(4x)-5}\)
\(\sf{g(4x)=24x-5}\)
Hence, these are the answers.
Which graph best represents a function with a domain of all real numbers greater than or
equal to 5?
Answer:
(c)
Step-by-step explanation:
You want the graph that has a domain of x ≥ 5.
DomainThe domain of a function is the set of x-values for which the function is defined. A domain of x ≥ 5 means the function is defined for x-values at least 5. The graph of the function will extend from x=5 indefinitely to the right.
Graph C is like that.
9. (a) (b) (c) (d) (e) Bako is twice as old as he was five years ago. His mother was then six times as old as he was. She is now 35 years old. How old is Bako? 10 How old was his mother when Bako was five? How old will Bako be when his mother is 50? How old was Bako's mother when he was born? What is the difference between Bako's age and his mother's?
Answer:
(a) Bako is 10 years old
(b) His mother was 30 years old when Bako was 5
(c) Bako will be 25 years old when his mother is 50
(d) Bako's mother was 25 years old when he was born
(e) The difference between Bako's age & his mother's is 25 years
Step-by-step explanation:
Let Bako's age five years ago be x years
Presently, Bako is 2x years old (according to the 1st statement)
Normal, Bako's present age should have been (x + 5) years; since he was x years old 5 years ago.
This simply means that Bako's present age is BOTH 2x years & (x + 5) years.
We have to equate them since they mean the same thing (Bako's present age)
x + 5 = 2x
2x - x = 5
Therefore x = 5 years
Remember that x signified Bako's age five years ago... This simply means that Bako's age five years ago was 5 years.
This simply means that Bako's age now is 10 years old.
His mother was then six times 5 years = 30 years old (from the 2nd statement).
If Bako was 5 years old five years ago and his mother was 30 years old... It simply means that Bako was born ten years ago when his mother was 25 years old.
This simply means that Bako's mother is older than him with 25 years.
Therefore, Bako will be 25 years old when his mother is 50 years old
y=9/4×2
sketch the graph of f and f on the same set of axes
The graph of the function \(f(x) = (9/4)x^2\) is a symmetric upward-opening parabola.
The graph represents a parabola that opens upward. As x increases, the corresponding y-values increase, forming a curved shape. The vertex of the parabola is at the origin (0,0). The graph is symmetric with respect to the y-axis, meaning that the left and right sides of the parabola are mirror images of each other.The slope of the graph gradually increases as x moves away from the origin. The steepness of the curve becomes more pronounced, indicating a faster rate of increase in y-values for larger x-values.The graph does not intersect the x-axis, indicating that there are no real roots or solutions for the equation f(x) = 0. The y-intercept of the graph is at (0, 0), and the y-values increase indefinitely as x approaches positive or negative infinity.Overall, the graph represents a quadratic function with a positive leading coefficient, resulting in an upward-opening parabolic curve. The graph has been attached.
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2800 square feet at $20 a square foot how much would that cost
ah help pls thank you
Answer
y=mx+b
equation: y=3/2x-1
which of the following is most likely the next step in the series
Answer:
A.
Step-by-step explanation:
Let's think of this as a clock. We can see that the 2 lines start in the same place, around 3 o'clock. Next, one of the line segments shifts down to around 6 o'clock. Next, it shifts to about 9 o'clock. Logically, the next step (in a clock) would be 12 o'clock, making A the correct choice.
We can also just use a regular circle, with one of the line segments moving 90 degrees each time.
Hope this helps! :)
5.3 in.
8 in.
4 in.
8 in.
Answer: 58.6
Step-by-step explanation:
4 x 8 = 32
4 x 5.3 = 21.2
4 x 2.7 = 10.8 / 2 = 5.4
32 + 21.2 + 5.4 = 58.6
Solving a word problem on proportions using a unit rate
Kala drove 315 miles in 5 hours.
At the same rate, how long would it take her to drive 693 miles?
Answer: It would take Kala 11 hours to drive 693 miles
Step-by-step explanation:
315/5=63 miles an hour
693/63=11 hours
It would take Kala 11 hours to drive 693 miles
Matthew is competing in a race. He runs 20 kilometers in 2 hours. At the rate given how many kilometers can Matthew run in 1 hour?
Answer:
Mattew would run 10 kilometers in 1 hour
Step-by-step explanation:
20/2 = 10 Kilometers
2/2 = 1 hour