Ages of swapna and suma are 33 and 7 years old respectively
Let the present age of Swapna be xLet the age of Suma be yIf Swapna is 26 years older than her daughter Suma, then;
x = y + 26 ............... 1
6 years later:
Age of Swapna = x + 6
Age of Suna = y + 6
If Swapna will be thrice as old as Suma, then;
x + 6 = 3(y + 6) ................. 2
Substitute equation 1 into 2:
y + 26 + 6 = 3y + 18
y + 32 = 3y + 18
-2y = -14
y = 7
Since x = y + 26
x = 26 + 7
x = 33
Hence ages of swapna and suma are 33 and 7 years old respectively
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How is 25:5 and 10:2 equivalent
Answer: yes !!
Step-by-step explanation:
first we have to simplify
25:5 = 5:1
10:2 = 5:1
yes, they are
When two ratios are in proportion the ratios are said to be equivalent.
The ratios 25:5 and 10:2 are equivalent because they are in proportion.
What is a ratio?It is the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
We have,
25:5 and 10:2
The ratio must be in proportion to be equivalent.
25:5 = 25/5 = 5 / 1
10:2 = 10/2 = 5/1
25:5 = 10:2
25/5 = 10/2
(5x5) / 5 = (5x2) / 2
5/1 = 5/1
We see that the ratio is equivalent.
Thus,
The ratios 25:5 and 10:2 are equivalent because they are in proportion.
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Hey y’all, please help me
HELP!!!
‐9z = ‐207
Please solve this with math explanations and NOT just the answer! Whoever explains first will get brainly!
Answer:
23
Step-by-step explanation:
this is because
the equation is saying -9time something = -207
so
you would -207 divided by -9
which gives you 23
so
z=23
A gaming computer system and additional equipment was purchased for $2,000. The system and equipment depreciate in value by 10% each year.
After how many years will the computer have a value less than $1,000?
A. 1
B. 3
C. 7
D. 8
2000-200 = 1800
1800-180 = 1620
1620 - 162 = 1458
1458- 148.8 = 1309
1309 - 130.9 = 1178
1178- 117.8 = 1060.2
1060 - 106 = 954
= 7 years
The value of the car is $956.5938 after 7 years and this can be determined by using arithmetic operations.
Given :
A gaming computer system and additional equipment was purchased for $2,000. The system and equipment depreciate in value by 10% each year.The following steps can be used in order to determine the total number of years will the computer have a value of less than $1,000:
Step 1 - The 10% of $2000 is $200. So, the value of the car after 1 year is $1800.
Step 2 - The 10% of $1800 is $180. So, the value of the car after 2 years is $1620.
Step 3 - The 10% of $1620 is $162. So, the value of the car after 3 years is $1458.
Step 4 - The 10% of $1458 is $145.8. So, the value of the car after 4 years is $1312.2.
Step 5 - The 10% of $1312.2 is $131.22. So, the value of the car after 5 years is $1180.98.
Step 6 - The 10% of $1180.98 is $118.098. So, the value of the car after 6 years is $1062.882.
Step 7 - The 10% of $1062.882 is $106.2882. So, the value of the car after 7 years is $956.5938.
Therefore, the correct option is C).
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Please someone help me with this question
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Willie's school is selling tickets to a play. On the first day of ticket sales the school sold 5 adult
tickets and 1 student ticket for a total of $80. The school took in $240 on the second day by
selling 14 adult tickets and 6 student tickets. Find the price of an adult ticket and the price of a
student ticket.
Answer:
Step-by-step explanation:
A I think sorry if I’m wrong
1) If
[tex] \frac{1}{a + 1} + \frac{1}{b + 1} + \frac{1}{c + 1} = 2[/tex]
[tex]then \: {a}^{2} + {b}^{2} + {c}^{2} is[/tex]
Option :-
[tex]a) \frac{3}{4} [/tex]
[tex]b) \frac{1}{3} [/tex]
[tex]c) \frac{27}{16} [/tex]
[tex]d) \frac{4}{3} [/tex]
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The sum of the square of the constants is 3/4
Given the equation [tex]\frac{1}{a+1} +\frac{1}{b+1} +\frac{1}{c+1} =2[/tex]
The partial form of the equation is given as:
[tex]\frac{1}{a +1} = 2\\[/tex]Solve for the constant "a"
[tex]\frac{1}{a +1} = 2\\a+1 = \frac{1}{2} \\a = \frac{1}{2} - 1\\a =-\frac{1}{2}[/tex]
Hence [tex]a=b=c=-\frac{1}{2} \\[/tex]
Taking the square of the constant, we will have:
[tex]a^2 + b^2 + c^2 =(-1/2)^2 +(-1/2)^2+(-1/2)^2\\a^2 + b^2 + c^2 =1/4 + 1/4 + 1/4\\a^2 + b^2 + c^2 =3/4[/tex]
Hence the sum of the square of the constants is 3/4
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Answer -the sum of the square of the consonants is 3/4
3. Allison bought some shirts for her clothing store for $15 each. She received $50 off her entire purchase and spent a total of $400. How many shirts did Allison purchase for her store?
Answer:
30
Step-by-step explanation:
15x30 = 450
Answer:
She purchased 30 shirts.
Step-by-step explanation:
She paid only $400 Dollars, because she got a discount of $50.
So the total before getting the discount was $450.
If you divide $450 by $15 (the price for 1 shirt) you come up with 30.
450/15 = 30
Write an equation in slope intercept for a line that passes through (2,2)
Answer:
any line can pass through the point (2,2) so there needs to be a second point
Step-by-step explanation:
The sum of three consecutive odd numbers is 153 find the number
Answer:
Divide the no. by three
Step-by-step explanation:
153÷3 = 51
so, 51+51+51 = 153
Answer:
an odd number can be expressed as 2n+1 (2n would be even, add 1 = odd)
first number = 2n+1
second number = 2n+3 -> skip + 2 because it would make it even
third number = 2n+5
2n+1+2n+3+2n+5=153
6n+9=153
6n=144
n=24
24*2+1=48+1=49
24*2+3=48+3=51
24*2+5=48+5=53
the numbers are 49, 51, and 53.
Write 110 as a product of primes
Answer:
The prime factorization of 110 is: 2 x 5 x 11.
Hey! Please help me ASAP.
I think its the third one but im not completly sure
Answer:
-t-5>-1.5
Step-by-step explanation:
Just ask.
Hope this helps! :)
Cory has $24 more than twice as much as Stan. Together they have $150. How much money does each have?
Stan has $50 and Cory has $74
Stan has $42 and Cory has $108
Stan has $63 and Cory has $87
Stan has $108 and Cory has $42
Answer: B Stan has $42 and Cory has $108.
Step-by-step explanation:
The awnser is Stan has $42 and Cory has $108 and $108 + $42 = $150.
CAN YOU PLEASE MARK ME BRAINLY.
Which expression can be used to find the product of 57 x 44?
Answer:2508
Step-by-step explanation:
If t=100, find 2t + 1
Select the correct answer. Evaluate the following expression when x = -4 and y = 4. A. B. C. D.
The value of given expression when x=-4 and y=4 is 1250.
The expression is missing in the question which is [tex]\dfrac{x^6-x}{4y}[/tex].
We have to solve it for x= -4 and y = 4.
Now putting the value of x and y we get,
[tex]\dfrac{x^6-x}{4y}=\dfrac{(-4)^6-(-4)}{4}[/tex]
[tex]\dfrac{x^6-x}{4y}=\dfrac{4096+4}{4}[/tex]
[tex]\dfrac{x^6-x}{4y}=1250[/tex]
Hence the value of given expression when x=-4 and y=4 is 1250.
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1. Each of 9 friends chooses her favorite positive integer
a. The median of the chosen number is 91, what is the smallest the average of the 9 chosen numbers could be?
b. The median of the chosen number is 91, is there an limit to how large the aerge of the chosen numbers can be? If so, what is the largest the average can be?
c. The average of the chosen number is 91, what is the smallest the median of the 9 chosen numbers could be?
d. The average of the chosen numbers is 91. What is the largest the median of the chosen numbers could be?
Answer:
a) 1
b) There is no limit to which the largest number can be because we are only given information about the median.
c) 1
d) 90
Keith has $500 in a savings account at the beginning of the summer. He wants to have at least $200 in his account by the end of the summer. If there are 10 weeks in the summer, how much can Keith spend each week to have at least $200 in his account? Let x represent how much he can spend each week.
options:
x>30
x>70
x≤70
x≤30
Answer:
x≤30
Step-by-step explanation:
he can spend no more than $30 a week
Please help me evaluate f(x)=-52
Answer:
Axis interception points of -52 :
Y intercepts : (0,-52 )
What percent is equivalent to 24/50?
24%
48%
50%
52%
Answer:
48%
Step-by-step explanation:
24 is almost 25 which is half of 50 you it would be 48%, hope this helps!:)
this is the next question
Solve: 1/2÷0.2
Answer:
2.5
Step-by-step explanation:
y = {x-5?
Which equation describes a line parallel to the line described by y-
Your answer:
o y=-2x
o y=-3x+1
oy
-
Oy - 2x - 5
Clear answer
Back
NEW
Answer:
The third option, 1/2..
What did Diocletian do to change the way the Roman Empire was ruled?How would we add -3 + (-9) on the number line?
Could someone help please
Step-by-step explanation:
1. x/3-2=6
x-6=18
x=18+6
x=24
2. x/5+1=5
x+5=25
x=25-5
x=20
Answer:
x = 24 , x = 20
Step-by-step explanation:
(a)
[tex]\frac{x}{3}[/tex] - 2 = 6 ( add 2 to both sides )
[tex]\frac{x}{3}[/tex] = 8 ( multiply both sides by 3 to clear the fraction )
x = 24
(b)
[tex]\frac{x}{5}[/tex] + 1 = 5 ( subtract 1 from both sides )
[tex]\frac{x}{5}[/tex] = 4 ( multiply both sides by 5 to clear the fraction )
x = 20
p²÷4-m; use m=3, and p=4
Help ???????????? ?????
Answer:
A
Step-by-step explanation:
Answer:
the answer is BStep-by-step explanation:
What is the area of this figure?
Answer:
84mm
Step-by-step explanation:
square = LxW = 6x6 =36
triangle = bxh/2 = 6x8/2 =24
add together 24x2+36=84
Chose the justification for each step in the solution to the given equation stop application subtraction property of equality multiplication property of equality division property of equality addition property of equality
Answer:
Step-by-step explanation:
evaluate –3(–5)(–1)(3)
Answer:
-45
Step-by-step explanation:
I think one way you could do it is:
1. –3(–5) = 15
2. (–1)(3) = -3
3. (15) (-3) = -45
I used a calculator pls let me know if im incorrect
Solve for x
3x+7=28
Answer:
X=7
Step-by-step explanation:
Answer:
x = 7Step-by-step explanation:
3x + 7 = 28=> 3x = 28 - 7=> 3x = 21=> x = 7Conclusion:
Therefore
x = 7.Hoped this helped.
[tex]GeniusUser[/tex]