Simplifying
4(x + 2) = 28
Reorder the terms:
4(2 + x) = 28
(2 * 4 + x * 4) = 28
(8 + 4x) = 28
Solving
8 + 4x = 28
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-8' to each side of the equation.
8 + -8 + 4x = 28 + -8
Combine like terms: 8 + -8 = 0
0 + 4x = 28 + -8
4x = 28 + -8
Combine like terms: 28 + -8 = 20
4x = 20
Divide each side by '4'.
x = 5
Simplifying
x = 5
2. 2 (x+4)=28
Simplifying
2(x + 4) = 28
Reorder the terms:
2(4 + x) = 28
(4 * 2 + x * 2) = 28
(8 + 2x) = 28
Solving
8 + 2x = 28
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-8' to each side of the equation.
8 + -8 + 2x = 28 + -8
Combine like terms: 8 + -8 = 0
0 + 2x = 28 + -8
2x = 28 + -8
Combine like terms: 28 + -8 = 20
2x = 20
Divide each side by '2'.
x = 10
Simplifying
x = 10
A fruit seller brought 120 oranges for rs 500 and spent rs 60 for parking them into 10 boxes each containing a dozen oranges. If he sold a dozen of oranges for rs 58.8, find the profit percentage I know the answer it is 5% but I need the explanation for it in picture format it is also ok but in neat handwriting pls help
Answer:
First, we know that he spent rs500 plus rs60 in the whole process, then the total cost is:
C = rs500 + rs60 = rs560
Now he sells the oranges in packs of 12, then if he has 120 oranges, the total number of packs that he can sell is:
120/12 = 10
So he has 10 packs of 12 oranges.
And he sells each one for rs58.8
Then if he sells the 10 packs, the total revenue is:
R = 10*(rs58.8) = rs588
The profit is the difference between the revenue and the cost, here the profit is:
P = R - C = rs588 - rs560 = rs28
And the profit percentage is calculated as follows:
(P/C)*100%
Where P = profit and C = cost, then we have:
(rs28/rs560)*100% = 5%
original price $135; 30%
Answer:
40.5
Step-by-step explanation:
dividing
A central angle 0, in a circle of radius 4 ft intercepts an arc length of 50 ft.
Calculate the radian measure of 0.
Given:
The central angle = [tex]\theta[/tex]
Radius of the circle = 4 ft
Intercepted arc length = 50ft
To find:
The value of [tex]\theta [/tex] in radian measure.
Solution:
The formula for arc length is
[tex]s=r\theta[/tex]
where, r is radius and [tex]\theta [/tex] is the central angle in radians.
Putting s=50 and r=4, we get
[tex]50=4\theta[/tex]
Divide both sides by 4.
[tex]\dfrac{50}{4}=\theta[/tex]
[tex]12.5=\theta[/tex]
Therefore, the value of [tex]\theta [/tex] is 12.5 radians.
Press the hotspot next to the name of the learner who wrote an incorrect expression.
Answer:
Luis
Step-by-step explanation:
What is the area of a circle if the diameter is 9cm?
Round to the nearest hundredth (0.01cm2)
Answer: A≈63.62
Step-by-step explanation:
9/2= 4.5
A=πr2=π·4.52≈63.61725
Answer:
To find the area of a circle we have [tex]\pir^{2}[/tex] and the radius is half of the diameter so we have 4.5² which gives 16.25π
------------Need help ----------
Y=3x-2
Answer: -8, -5, -2, 1, 4
Step-by-step explanation:
Y=3x-2
- Plug in the number for x.
x = -2, y = 3x - 2= 3(-2) - 2 = - 6 - 2= - 8
x = -1, y = 3x - 2= 3(-1) - 2 = - 3 - 2= - 5
x = 0, y = 3x - 2= 3(0) - 2 = 0- 2= - 2
x = 1, y = 3x - 2= 3(1) - 2 = 3 - 2= 1
x = 2, y = 3x - 2= 3(2) - 2 = 6 - 2= 4
In a school, 4/5 of the students study a language.
Of those students who study a language, 1/3 study German
What is the ratio of students who study German to the students who do not study German?
Answer:
I agree with Emma
Step-by-step explanation:
above
Answer:
4 12
--- : ---
15 15
I think this might be the answer, but fair warning there is a high chance I am wrong.
Simplify the given expression below:
(3 + 4i) + (5 - 2i)
1) -2 + 6i
2) 2 - 2i
3) 7 +3i
4) 8 + 2i
Answer:
4) 8+2i
Step-by-step explanation:
When you expand you get 3+4i+5-2i
when you add the like terms you get 8+2i
Answer:
3
Step-by-step explanation:
The answer is 3 3+4 is 7 and 5-2 is 3
ok Im pretty sure this photo is clearer
Answer:D or C
Step-by-step explanation:
State whether the diagonals of each figure bisect each other
A: Parallelogram yes no
B: Square yes no
C: Kite yes no
D isosceles trapezoid yes no
please help me and show your work pleaseeee
Answer:
There is no solution
Step-by-step explanation:
[tex]\frac{1}{4} x-13= \frac{1}{4} x + \frac{13}{4}[/tex]
subrtact 1/4 X from each side
-13=13/4 is not true, so no solution
You spin a spinner and pick a card. How many outcomes are possible?
It's just 5 * 4 which is 20.
( guys this question is a music question it’s not a math question i just put math subject because they didn’t have music subject!! )
In terms of rhythm, notes are named for ...
A. how they look.
B. how long they last.
C. how fast they are.
D. how high or low-pitched they are.
Answer:
i think its d
Step-by-step explanation:
Plzzz help me 10 min left
Answer:
D
Step-by-step explanation:
The opposite of negative is positive therefore,
the opposite of -2 is positive 2.
2 is locaded at D.
The cost of a table is double the cost of a chair and the cost of a cupboard is five times the cost of a table. What is the ratio of the cost of the chair table and the cupboard? If the cost of a table is greater than that of a chair by rupees 2000 find the cost of a chair, table and the cupboard.
Answer:
Table 2: 1 Chair
Cupboard 5: 1 Table
Cupboard 10: 1 Chair
The table costs 4,000 rupees, the chair 2,000 rupees, and the cupboard costs 20,000 rupees.
Step-by-step explanation:
Since the cost of a table is double the cost of a chair and the cost of a cupboard is five times the cost of a table, to determine what is the ratio of the cost of the chair, the table and the cupboard the following calculations must be done:
Table 2: 1 Chair
Cupboard 5: 1 Table
5x2 = 10
Cupboard 10: 1 Chair
In turn, if the cost of a table is greater than that of a chair by 2000 rupees, to find the cost of a chair, table and the cupboard, the following calculations must be performed:
Table 2: 1 Chair
2000 x 2 = 4,000
Thus, the table costs 4,000 rupees and the chair 2,000 rupees.
4000 x 5 = 20,000
In turn, the cupboard costs 20,000 rupees.
The courthouse is the tales building in the city. If it is 7.5 inches tall in the model, how tall is the actual building? As part of a city building refurbishment project, architects have constructed a scale model of several city buildings to present to the city commission for approval. The scale of the model is 1 inch = 9 feet. Use this scale to answer the following questions.
Answer:
67.5
Step-by-step explanation:
i did it
z scores are useful because they:a. allow us to convert raw scores to mean scores, compare scores from different samples, and transform populations into samples.b. transform linear scores into nonlinear scores, convert nonlinear scores back into linear scores, and allow us to obtain comparisons between nonlinear and linear scores.c. give us an understanding of where a score falls in relation to the mean of its underlying population, allow comparisons to be made between scores from different distributions, and permit the transformation of z scores into percentiles.d. reduce the probability of Type I and Type II errors, allow us to compare raw scores with standard scores, and permit the transformation of raw scores into percentiles.
Answer:
they give us a sense of where a score falls in relation to the mean of its population (in terms of standard deviation of its population), 2) they allow us to compare scores from different distributions, and 3) they can be transformed into percentiles.
Step-by-step explanation:
Can someone help me on algebra
Answer:
[tex]f(3) = 1[/tex]
Step-by-step explanation:
I hope that is useful for you :)
What is the constant term in the expression 6׳y + 5× + 4
PLEASE HELP ME OUT I begging you guys p.s. if u give me the correct answer I'll give u brainillesst points
Answer:
the constant is x
Answer:
its 4
Step-by-step explanation:
The area of a circle is 4pie cm2. What is the circumference, in centimeters? Express
your answer in terms of .
Answer:
4[tex]\pi[/tex]
Step-by-step explanation:
A = [tex]\pi[/tex][tex]r^{2}[/tex]
A = 4[tex]\pi[/tex] [tex]cm^{2}[/tex]
4[tex]\pi[/tex] =
4 = [tex]r^{2}[/tex]
2 = r
C = 2[tex]\pi[/tex]r
C = 2(2)[tex]\pi[/tex]
C = 4[tex]\pi[/tex]
Which of the following is the product of the rational expressions shown
below?
2/x • 3/2x - 5
Answer:
Step-by-step explanation:
6/ 2x2-5x
The product of the rational expression 2/x(3/2 x-5) is 3-10/x.
What is expression?Expression is combination of numbers, fraction, symbols , coefficients, indeterminants or determinants. It shows a relationship between variables. It is mostly not found in equal to form.
How to find product?We have been given an expression 2/x(3/2 x-5) and we have to find the product of the expressions.
Product=2/x*3/2 x-2/x*5
To find the product of the expression, we have to multiply numerators with numerators and denominators with denominators and then perform the division part.
=6x/2x-10/x
=3-10/x
Hence the product of the rational expression 2/x(3/2 x-5) is 3-10/x.
Learn more about expression at https://brainly.com/question/723406
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Leah has just inherited $12,000. She wants to invest the money so that she can
increase the value of her inheritance. What are some of the ways she can do this?
1. Leah wants to invest the $12,000 in an account that pays 4.5% annual interest.
Part A
Write equations for the amount A(t) that will be in the account after t years, if the
interest is compounded continuously, daily, and monthly. Then, find the amount
after 10 years, rounded to the nearest cent, for each method of compounding.
Complete the table.
When interest compounded continuously so the amount after 10 years the amount will be $18819.75, when n = 365 and t = 10 years amount will be $18819.22, when n = 12 and t = 10 years amount will be $18803.91.
What is compound interest?It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.
We can calculate the compound interest using the below formula:
[tex]A = P (1 + \frac{r}{n} )^{nt}[/tex]
Where A = Final amount
P = Principal amount
r = annual rate of interest
n = how many times interest is compounded per year
t = How long the money is deposited or borrowed (in years)
If the interest compounded continuously:
P = $12000, r = 4.5% = 0.045%
⇒ [tex]A (t) = 12000 (e)^{0.045t}[/tex]
When t = 10 years, plug this value in the above expression and calculating, we get;
A(10) = $18819.75
When interest compounded daily:
[tex]A(t) = 12000 (1 + \frac{0.045}{365} )^{365t}[/tex]
Plug t = 10 years:
We get;
A(10) = $18819.22
Similarly, If interest is compounded monthly:
n = 12 and t =10, we get:
A(10) = $18803.91
Thus, when interest compounded continuously so the amount after 10 years the amount will be $18819.75, when n = 365 and t = 10 years amount will be $18819.22, when n = 12 and t = 10 years amount will be $18803.91.
Learn more about the compound interest here:
brainly.com/question/26457073
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convert 34% to a simplified fraction
Answer:
17/50
Step-by-step explanation:
mark as brainliest pls
Pencils cost $.10 and erasers cost $0.25. steve bought 5 more pencils than erasers. he spent a total of $1.55. how many erasers did steve buy?
Answer:
Let x be the number of pencils Steve bought.
Let y be the number of erasers Steve bought.
x=y+5
0.1x + 0.25y = 1.55
Solving the system, our answer is: (8, 3)
So, she bought 3 erasers.
Let me know if this helps!
you can estimate the number of days in the three months of april,may,and june using the eqation 3x30=90 what is the exact number of days in the three months
Answer:
Step-by-step explanation:
Donna's Garden Supply wants a 3-month moving-average forecast, including a forecast ... 3-Month Moving Average. January. February. March. April. May. June. July ... arbitrary because there is no set formula to determine them. ... ÈPO CH Compare the actual data with the data we forecast (using each of the two a values).
PLS HELP FAST ILL GIVE BRAINLIEST
When y=48, x=4.2. If the value of y varies directly with x, what is the value of y when the value of x is 10.6?
Answer:
y = 121.14
Step-by-step explanation:
For this, we will need to start by cross multiplying.
(4.2 * y) = (48 * 10.6)
4.2y = 508.8
to isolate the varible, we need to divide both sides by 4.2
y = 121.14
A man is 32 years older than his son. Ten years ago he was three times as old as his son. find the present age of each?
An airplane is flying at 450 miles per hour. How many yards does the airplane fly in 30 min?
Answer:
the plane flies 396,000yd in 30 min
Step-by-step explanation:
450 / 2 = 225
1 mile = 1,760
225 * 1,760 = 396,000 yd
Plz mark as brainliest if this helped! Have a nice day!!!
-Lil_G
Step-by-step explanation:
450 miles = 1hour = 60mins
X miles = 30mins
cross multiply
450 × 30 = 60 × X
13500 = 60X
divide through by 60
225 = X
therefore, X = 225miles
now
1 mile= 1760 yards
225 miles = X
cross multiply
X = 1760 ×225
X = 396000 yards
what is pi and how invented it??
Answer:
Step-by-step explanation:
The Egyptians calculated the area of a circle by a formula that gave the approximate value of 3.1605 for π. The first calculation of π was done by Archimedes of Syracuse (287–212 BC), one of the greatest mathematicians of the ancient world.
Answer:
π is a mathematical constant. Its commonly used value is 3.14. There is a expanded value for π. It appears in many formulas in all areas of mathematics and physics. In maths, it is commonly used for solving of circles and spheres.
The π was invented by Archimedes of Syracuse. He was one of the greatest mathematicians of the ancient world.
Express 18 and 24 as product of their prime factors
Answer:
6
cuz 6*3=18 and 6*4=24
Answer:
18: 2x9 3x6
24: 12x2 6x4 8x3
So 2
Step-by-step explanation:
Is that what you mean?
