Answer:
14 1/2
Step-by-step explanation:
first you make the 7 1/2 into a improper fraction, which is 15/2,then you do the same for 4 1/2 and 2 1/2.So now you have
15/2,9/2,5/2.so now you add 15,9 and 5.
15+9+5=29.so now you have 29/2.now you convert it into a mixed number, by dividing 29/2,so now you have the answer which is 14 1/2.
Step-by-step explanation:
step 1
find the least common multiple of the denominators
step 2
Refer to the information below to answer Questions 9 and 10. Value of Property Up to K35 000 K35 000 to K70 000 K70 000 to K140 000 Over K140 000 10. Rate of Stamp Duty 2% 3% 4% 5% 9. Calculate the stamp duty payable on properties whose purchase price is K45 000. (1 mark) Answer: Calculate the stamp duty payable on properties whose purchase price is K150 000. (1 mark) Answer:
9. The stamp duty payable on a property with a purchase price of K45,000 is K1,350.
10. The stamp duty payable on a property with a purchase price of K150,000 is K7,500.
To calculate the stamp duty payable on properties with a purchase price of K45,000 and K150,000, we need to apply the corresponding rates of stamp duty based on the given information.
Given:
Value of Property:
Up to K35,000: Stamp Duty Rate - 2%
K35,000 to K70,000: Stamp Duty Rate - 3%
K70,000 to K140,000: Stamp Duty Rate - 4%
Over K140,000: Stamp Duty Rate - 5%
9. Calculate the stamp duty payable on properties whose purchase price is K45,000:
Since the purchase price of K45,000 falls within the range of K35,000 to K70,000, the stamp duty rate applicable is 3%.
Stamp Duty Payable = Purchase Price * Stamp Duty Rate
= K45,000 * 3%
= K45,000 * 0.03
= K1,350
Therefore, the stamp duty payable on a property with a purchase price of K45,000 is K1,350.
10. Calculate the stamp duty payable on properties whose purchase price is K150,000:
Since the purchase price of K150,000 is above K140,000, the stamp duty rate applicable is 5%.
Stamp Duty Payable = Purchase Price * Stamp Duty Rate
= K150,000 * 5%
= K150,000 * 0.05
= K7,500
Therefore, the stamp duty payable on a property with a purchase price of K150,000 is K7,500.
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Mandy has a flower garden that is 30 1/2 square feet. she wants to plant daisies in 1/3 of the garden. what will the area of the daisies part of the garden be? Write and solve the equation that will help you figure out the area of the daisies section of the garden. explain the steps you took to solve the problem.
Answer:
area of the daises part of the garden = 1/3 x 30 1/2
10 1/6 square feet
Step-by-step explanation:
area of the daises part of the garden = area of garden x 1/3
= 1/3 x 30 1/2
Convert the mixed fraction to an improper fraction
to convert to improper fraction, take the following steps :
1. Multiply the whole number by the denominator
2. Add the numerator to the answer gotten in the previous step
3. divide the number gotten in the previous step by the denominator
= 1/3 x 61/2 = 61/6
convert to mixed fraction
10 1/6
Lydia and her children went into a grocery store where they sell apples for $2.25 each and peaches for $1.75 each. Lydia has $25 to spend and must buy at least 10 apples and peaches altogether. If Lydia decided to buy 8 apples, determine all possible values for the number of peaches that she could buy. Your answer should be a comma separated list of values. If there are no possible solutions, submit an empty answer.
The possible values for the number of peaches Lydia could buy are:
2, 3, 4.
We have,
Lydia wants to buy 8 apples, which cost $2.25 each.
Therefore, the total cost of the apples is 8 * $2.25 = $18.
She has $25 to spend, so after buying the apples, she has:
$25 - $18 = $7 remaining.
Now,
Lydia must buy at least 10 apples and peaches altogether.
Since she has already bought 8 apples, she needs to buy at least 2 more fruits.
Let's consider the peaches.
Each peach costs $1.75. To find the possible values for the number of peaches, we can divide the remaining amount ($7) by the cost of a peach ($1.75) and check which whole numbers satisfy the condition.
$7 / $1.75 = 4
Since we need to buy at least 2 more fruits, the possible values for the number of peaches that Lydia could buy are 2, 3, or 4.
Therefore,
The possible values for the number of peaches Lydia could buy are:
2, 3, 4.
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Given: F3 = 5 k + 515 g F4 = 945k - 713 g ; find F20
9514 1404 393
Answer:
F20 = 15985k -20361g
Step-by-step explanation:
If we assume F3 and F4 are the third and fourth terms of an arithmetic sequence, the common difference is ...
d = F4 -F3 = (945k -713g) -(5k +515g)
d = 940k -1228g
Then the 20th term is ...
F20 = F3 +(20 -3)d = (5k +515g) +17(940k -1228g)
F20 = 15985k -20361g
Need help with proofs, anyone know how?
Segments MS and QS are therefore congruent by the definition of bisector. Therefore, the correct answer option is: D. MS and QS.
What is a perpendicular bisector?In Mathematics and Geometry, a perpendicular bisector is a line, segment, or ray that bisects or divides a line segment exactly into two (2) equal halves and forms an angle that has a magnitude of 90 degrees at the point of intersection.
This ultimately implies that, a perpendicular bisector bisects a line segment exactly into two (2) equal halves, in order to form a right angle that has a magnitude of 90 degrees at the point of intersection.
Since line segment NS is a perpendicular bisector of isosceles triangle MNQ, we can logically deduce the following congruent relationships;
MS ≅ QSNS ≅ RSMN ≅ QN ∠NMS and ∠NQSΔMNS ≅ ΔQNSRead more on perpendicular bisectors here: brainly.com/question/19154899
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Complete Question:
The proof that ΔMNS ≅ ΔQNS is shown. Given: ΔMNQ is isosceles with base MQ, and NR and MQ bisect each other at S. Prove: ΔMNS ≅ ΔQNS
We know that ΔMNQ is isosceles with base MQ. So, MN ≅ QN by the definition of isosceles triangle. The base angles of the isosceles triangle, ∠NMS and ∠NQS, are congruent by the isosceles triangle theorem. It is also given that NR and MQ bisect each other at S. Segments _____ are therefore congruent by the definition of bisector. Thus, ΔMNS ≅ ΔQNS by SAS.
NS and NS
NS and RS
MS and RS
MS and QS
Read Edward Corsi’s quotation from the book Immigrant Kids by Russell Freedman. The writer Angelo Pellegrini has recalled his own family’s detention at Ellis Island: We lived there for three days - Mother and we five children, the youngest of whom was three years old. Because of the rigorous physical examination that we had to submit to, particularly of the eyes, there was this terrible anxiety that one of us might be rejected. And if one of us was, what would the rest of the family do? This quotation adds credibility to the text because his mother lived on Ellis Island with her children, and their experience agrees with Freedman’s statement that families were separated. he lived at Ellis Island for three days, and his experience agrees with Freedman’s statement that families were afraid of the health examinations. he was a writer who wrote about Ellis Island and described the feelings an immigrant might have during the physical exams. he lived at Ellis Island for three days, a
Answer:
he lived at Ellis Island for three days, and his experience agrees with Freedman’s statement that families were afraid of the health examinations
Step-by-step explanation:
In the book immigrant kids, freeman gives readers a glimpse of what it was like to be new and young America. It talked about the journey and what life is like as soon as they arrive.
Pallegrini's experience about rigorous physical examination and the anxiety that followed agrees with freedman's statement about people being afraid of health examinations.
Answer:
he lived at Ellis Island for three days, and his experience agrees with Freedman’s statement that families were afraid of the health examinations
Step-by-step explanation:
i know all that touches the sunlight
Question 5
Find the value of x.
(3x - 14) (2x + 10)°
3x - 14 here, 2x + 10 here. Consequently, X has a value of 14. In algebra, the letter "x" is frequently used to denote a value that is still unknown. It is referred to as a "variable" or "unknown" at times.
How to find the variable X ?In algebra, the letter "x" is frequently used to denote a value that is still unknown. The term "variable" or "unknown" is used to describe it. x in x+2=7 is a variable. Not only can a variable be "y," "w," or any other letter, name, or symbol, it can also be "x." Examine: Variable
Bring the variable to one side of the equation, and then move all the other values to the other side by performing arithmetic operations on both sides of the equation to find the value of x. To determine the answer, simplify the values.
An experiment's independent variable is a variable that stands in for a variable that is being altered. In equations, the independent variable is frequently denoted by the variable x. X is the variable here.
\($$3 x-14-(2 x)=0$$\\\)
We shift every term to the left:
\($3 x-14-(2 x)=0$\)
We combine all the numbers and all the variables.
\($$x-14=0$$\)
All terms containing x are shifted to the left, and all other terms are shifted to the right.
\($$x=14$$\)
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-4x - 18 = 46
need help
Answer:
x=−16
Step-by-step explanation:
−4x−18=46
Add 18 to both sides
−4x−18+18=46+18
−4x=64
Divide both sides by -4
-4x/4=64/-4
x=−16
Answer:
x= -16
Step-by-step explanation:
Let's solve your equation step-by-step.
−4x − 18 = 46
Step 1: Add 18 to both sides.
−4x − 18 + 18 = 46 + 18
−4x = 64
Step 2: Divide both sides by -4.
−4x / −4 = 64 / -4
x=−16
Hope it helps T-T
Use an associative law to find an expression equivalent to
s + (r + 75)
As you can see below, both expressions result in the same value of 105. This demonstrates the application of the associative law in regrouping terms and maintaining the equivalence of the expression.
The associative law in mathematics states that the grouping of numbers in an addition or multiplication operation does not affect the result. In other words, you can regroup terms within parentheses without changing the value of the expression.
Using the associative law, we can regroup the terms in the expression s + (r + 75) by removing the parentheses and rearranging the terms:
s + (r + 75) = (s + r) + 75
The expression (s + r) + 75 is equivalent to s + (r + 75) because the addition operation is associative.
Let's take an example to illustrate this:
Suppose s = 10 and r = 20.
Using the original expression:
s + (r + 75) = 10 + (20 + 75) = 10 + 95 = 105
Using the expression with regrouped terms:
(s + r) + 75 = (10 + 20) + 75 = 30 + 75 = 105
As you can see, both expressions result in the same value of 105. This demonstrates the application of the associative law in regrouping terms and maintaining the equivalence of the expression.
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WILL GIVE BRAINLIST PLS HELP Find x. Round your answer to the nearest tenth.
Answer:
i think x= 13.5
Step-by-step explanation:
1/7 times 1/8 ANSWER IN UNDER 2 MINUTS AND ILL MAKE YOU BRAINLIEST
Answer:
Hello There!
Your answer is 1/56
Step-by-step explanation:
1/7 (1/8)
You can literally just take out 7 and 8 and multiply than put it back to the proper denominator.
Hope this helps!!
Answer:
1/56
Step-by-step explanation:
multiplying fractions is just the product of the numerators divided by the product of the denominators
1x1=1
7x8=56
Explain why the simultaneous equations y = -2/3x + 4/3 and 12x + 18y = 24 have an infinite number of solutions. What can you deduce/conclude about the two straight lines representing the equations?
Answer:
It's the same equation
Step-by-step explanation:
12x+18y=24
y=(-12x+24)/18
y=-2/3x+4/3
The intersect is the solution, so there are infinitely many solutions
find the measure of minor arc RV
The measure of the minor arc m∡rv = 111°
What is the explanation for the above response?Recall that according to the principle of angle of intersecting secants, (a-b)/2 = c
Where a = ∡RV
b = ∡SU = 37°:
and c = ∠T (the angle between intersecting secants.
Thus, if (a-b)/2 = c, and b = c = 37 degrees, then we can substitute these values into the equation to get:
(a - 37) / 2 = 37
Multiplying both sides by 2 gives:
a - 37 = 74
Adding 37 to both sides gives:
a = 111
Therefore, a is equal to m∡rv = 111°.
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in how many ways can the letters in the word payment be arranged if the letters are taken 6 at a time
Considering the definition of permutation, in 5040 ways can the letters in the word ''PAYMENT'' be arranged if the letters are taken 6 at a time.
What is PermutationPermutation is placing elements in different positions. So, permutations of m elements in n positions are called the different ways in which the m elements can be arranged occupying only the n positions.
That is, permutations refer to the action of arranging all the members of a set in some sort of order or sequence.
In other words, permutations (or Permutations without repetition) are ways of grouping elements of a set in which:
take all the elements of a set.the elements of the set are not repeated.order matters.To obtain the total of ways in which m elements can be placed in n positions, the following expression is used:
\(mPn=\frac{m!}{(m-n)!}\)
where "!" indicates the factorial of a positive integer, which is defined as the product of all natural numbers before or equal to it.
This caseIn this case, you have:
the letter word "PAYMENT", where the number of letters is 7.the letters are taken 6 at a time.Then, you know that:
m= 7n=6Replacing in the definition of permutation:
\(7P6=\frac{7!}{(7-6)!}\)
Solving:
\(7P6=\frac{7!}{1!}\)
7P6= 5040
Finally, in 5040 ways can the letters in the word ''PAYMENT'' be arranged if the letters are taken 6 at a time.
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The sum of first 'n' terms. Sn of a particular Arithmetic Progression is given by Sn=12n - 2n^2. Find the first term and the common difference
Let a be the first term and d the common difference between consecutive terms. Then the next few terms in the sequence are
a + d
a + 2d
a + 3d
and so on, up to the k-th term
a + (k - 1) d
The sum of the first n terms of this sequence is
\(\displaystyle S_n = \sum_{k=1}^n(a+(k-1)d) = 12n-2n^2\)
Expanding the sum, we have
\(\displaystyle S_n = \sum_{k=1}^n (a+(k-1)d) \\\\ S_n = \sum_{k=1}^n(a-d+dk) \\\\ S_n = (a-d)\sum_{k=1}^n1+d\sum_{k=1}^nk \\\\ S_n = (a-d)n+\frac{d}2n(n+1) \\\\ S_n = (a-d)n+\frac{d}2(n^2+n) \\\\ S_n = \left(a-\frac{d}2\right)n+\frac{d}2n^2\)
It follows that
a - d/2 = 12
d/2 = -2
Solve these equations for a and d.
d/2 = -2 ==> d = -4
a - d/2 = a + 2 = 12 ==> a = 10
So the sequence is
10, 6, 2, -2, -6, -10, -14, …
What is the take home percent of the gross pay for these details? Net Pay $2,764.93 Gross Pay $4,105 Round to the nearest percent.
answers
35% 42% 58% 67%
hallar el valor de x en 3(x-2)+4=x-5
Answer:
exact form 3/2 decimal form 1.5 mixed number form 1 1/2
Step-by-step explanation:
Answer:
\( \huge{ \bold{ \boxed{ \tt{x = - \frac{3}{2} }}}}\)
☯\( \underline{ \underline{ \sf{Question}}} : \)
3 ( x - 2 ) + 4 = x - 5☯ \( \underline{ \underline{ \sf{To \: find}}} : \)
the value of x\( \text{Given \: Equation : \: 3(x - 2) + 4 = x - 5}\)
You must distribute first ! In this equation , you have the distributive property on left hand side of the equation. You must first get rid of the parentheses.
⇢ \( \text{3 × \: x - 3× 2 + 4 = x - 5} \)
⇢ \( \text{3x - 6 + 4 = x - 5}\)
On the left hand side , you have two numbers : - 6 and 4. Remember that ' The negative and positive numbers are subtracted but posses the sign of the bigger number. '
⇢\( \sf{3x - 2 = x - 5}\)
Move x to left hand side and change it's sign.
Similarly , move 2 to right hand side and change it's sign.
⇢\( \sf{3x - x = - 5 + 2}\)
On the left hand side , you have like terms. Combine the like terms : 3x - x = 2x
⇢\( \sf{2x = - 5 + 2}\)
On the right hand side , - 5 + 2 = -3
⇢\( \sf{2x = - 3}\)
Divide both sides by 2
⇢\( \sf{ \frac{2x}{2} = - \frac{3}{2} }\)
⇢\( \boxed{\sf{x = - \frac{3}{2} }}\)
-----------------------------------------------------------------
✏ CHECK :
\( \text{3(x - 2) + 4 = x - 5}\)
Substitute \( \sf{ - \frac{3}{2}} \) for x into the original equation. And simplify !
⇾ \( \sf{3( - \frac{3}{2} - 2) + 4 = - \frac{3}{2} - 5}\)
⇾\( \sf{3( \frac{ - 3 - 2 \times 2}{2} ) + 4 = \frac{ - 3 - 5 \times 2}{2}} \)
⇾\( \sf{3( \frac{ - 3 - 4}{2} ) + 4 = \frac{ - 3 - 10}{2}} \)
⇾\( \sf{3( \frac{ - 7}{2} ) + 4 = \frac{ - 13}{2}} \)
⇾\( \sf{ \frac{ - 21}{2} + 4 = \frac{ - 13}{2}} \)
⇾\( \sf{ \frac{ - 21 + 4 \times 2}{2} = \frac{ - 13}{2}} \)
⇾\( \sf{ \frac{ - 21 + 8}{2} = \frac{ - 13}{2}} \)
⇾\( \sf{ \frac{ - 13}{2} = \frac{ - 13}{2}} \)
Since both sides are equal , x = \( \boxed{ - \sf{ \frac{ 3}{2} }}\) is the correct answer.
And we're done !!
Hope I helped!
Have a wonderful day ! ツ
~TheAnimeGirl ♡
A school is arranging a field trip to the zoo. The school spends 837.14 dollars on passes for 36 students and 2 teachers. The school also spends 307.44 dollars on lunch for just the students. How much money was spent on a pass and lunch for each student?
The amount of money spent on a pass and lunch for each student is given by A = $ 16.02
Given data ,
The school spends $ 837.14 on passes for 36 students and 2 teachers
And , school also spends $ 307.44 on lunch for just the students
Now , 837.14 - 2x = amount spent on passes for 36 students
where x is the cost of a pass for a teacher
And , (837.14 - 2x) + 307.44 = 36y
where y is the cost of a pass and lunch for each student
On simplifying the equation , we get
1144.58 - 2x = 36y
Now we can solve for y:
y = (1144.58 - 2x)/36
We know that the school spent 307.44 dollars on lunch for just the students, so the amount spent on passes for 36 students is:
837.14 - 2x = 36y - 307.44
Substituting the expression we found for y into this equation, we get:
837.14 - 2x = (1144.58 - 2x)/36 * 36 - 307.44
Simplifying this equation, we get:
2x = 897.58
x = 448.79
Now , the value of y is
y = (1144.58 - 2(448.79))/36
y = 16.02
Hence , the school spent $ 16.02 on a pass and lunch for each student
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PLEASE HELP AS SOON AS POSSIBLE
Answer:
B
Step-by-step explanation:
Yes, because for each input there is exactly one output. You can have two of the same x values but you cannot have 2 of the same y values. if you have two of the same y values, it is not a function as it doesn't pass the vertical line test.
What is (I^2)+(I^2)+3x if x=I^2?
Show your work.
Answer:
-5
Step-by-step explanation:
(i^2) = -1 so -1 -1 + 3x = 3x - 2. If x = i^2 = -1, then 3x = -3. -3 - 2 = -5
In the equation, y = 2 sin
000
A
B
с
O
1
x, which statements are true? Select all that apply.
2
The period is 4π
The amplitude is 2
The period is
1
2
76
The amplitude is-
2
The period of the function is 4π, and the amplitude is 2.
Given data ,
Let the function be represented as f ( x ) = y
Now , the value of f ( x ) is
y = 2sin ( 1/2 )x
To find the period and amplitude of the function y = 2sin((1/2)x), we can use the standard form of a sine function: y = Asin(Bx).
In this case, the amplitude (A) is 2.
The amplitude represents the maximum displacement from the midpoint of the sinusoidal function.
To find the period, we can use the formula:
Period = (2π) / |B|.
B = 1/2.
Period = (2π) / |1/2|
P = (2π) / (1/2) = 2π * 2/1 = 4π
Hence , the period of the function is 4π, and the amplitude is 2.
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Solve each equation Show steps for credit4. 5+y=75.8=2+q6.6=n-4
Answer:
• y=2
,• q=6
Explanation:
Number 4
Given the equation:
\(5+y=7\)To solve for y, subtract 5 from both sides:
\(\begin{gathered} 5+y-5=7-5 \\ y=2 \end{gathered}\)The value of y is 2.
Number 5
Given the equation:
\(8=2+q\)To solve for q, subtract 2 from both sides:
\(\begin{gathered} 8-2=2-2+q \\ q=6 \end{gathered}\)The value of q is 6.
Patrica buys a total of 5 party hats and 5 balloons for the children at a party. Each party hat costs $0.50. Patrica spends a total of $7.50 for the party hats and the balloons. Enter an equation that models the situation with b, the cost of 1 balloon.
Answer:
b=2.5-7.50
Step-by-step explanation: so 5 party hats cost 50 cents, so times that by 5 to get 2.50, and then use the 7.50 and minus it.
Need helppppppppppppppppppppppppppppppppp
3/5 (r-7)=1
Please explain step by step on how I solve this problem
Answer:
r = 8 2/3
Step-by-step explanation:
3/5 (r-7)=1
3/5 * (r-7)=1
5/3 * 3/5 * (r-7)=1 * 5/3 ==> multiply both sides by 5/3 to remove the 3/5
from the left side of the equation and isolate r
1 * (r-7) = 5/3
r - 7 = 5/3 ==> simplify
r = 7 + 5/3 ==> add 7 on both sides to isolate r
r = 7 + 3/3 + 2/3 ==> simplify
r = 7 + 1 + 2/3
r = 8 + 2/3
r = 8 2/3
The product and the square of a number decreased by 5 is 67. Find the number.
Answer: 87
Step-by-step explanation:
Four times a number decreased by 5 is 67.Find the number.
Four times a number decreased by 5 is 67.
4x5=20
X-20=67
X=67+20
X=87
Given the following formula, solve for l.
Answer: Option C
l = (P - 2b)/2
Step-by-step explanation:
From P = 2(l + b)
Divide both sides by 2;
P/2 = 2(l + b)/2
P/2 = l + b
l + b = P/2
Make l the subject of formula;
l = (P/2) - b
l = (P - 2b)/2
You want to take out a $219,000 mortgage (home loan). The interest rate on the loan is 4.5%, and the loan is for 30 years. Your monthly payments are $1,109.64. How much will still be owed after making payments for 15 years? Round your answer to the nearest dollar.
After making payments for 15 years, the amount still owed on the mortgage would be approximately $145052.36.
To determine how much will still be owed after making payments for 15 years, we can use the formula for the remaining balance on a mortgage:
Remaining balance = P ((1 + r)ⁿ - (1 + r)ᵇ) / ((1 + r)ⁿ - 1)
where:
P = the initial loan amount (in this case, $219,000)
r = the monthly interest rate (which is the annual interest rate divided by 12)
n = the total number of monthly payments (which is 30 years times 12 months per year, or 360 months)
b = the number of monthly payments made so far (which is 15 years times 12 months per year, or 180 months)
First, we need to calculate the monthly interest rate:
r = 4.5% / 12 = 0.00375 = 0.375%
Next, we can plug in the values to get:
Remaining balance = $219,000 ((1 + 0.00375)³⁶⁰- (1 + 0.00375)¹⁸⁰) / ((1 + 0.00375)³⁶⁰ - 1)
= $145052.36
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-6x+2y=-14
y=-1
Show all work. If there is no solution, explain why.solve each system by substitution
Answer:
answer is in question only!!
Step-by-step explanation:
what to do ??
their sum is -11 and the difference is 41
Answer:
x+41=-11 I guess
Step-by-step explanation: