The younger sister is 10 years old and the elder sister is 15 years old.
Let's represent the present ages of the two sisters as x and y, where x is the age of the elder sister and y is the age of the younger sister.
According to the given information, the product of their present ages is 150:
x * y = 150 ---(1)
It is also stated that 5 years ago, the elder sister was twice as old as her younger sister:
x - 5 = 2 * (y - 5) ---(2)
We can now solve these two equations simultaneously to find the ages of the two sisters.
From equation (2), we can simplify:
x - 5 = 2y - 10
x = 2y - 10 + 5
x = 2y - 5
Substituting this value of x into equation (1), we have:
(2y - 5) * y = 150
2y^2 - 5y = 150
2y^2 - 5y - 150 = 0
Now we can solve this quadratic equation either by factoring, completing the square, or using the quadratic formula. By factoring, we find:
(2y + 15)(y - 10) = 0
This gives us two possible solutions for y:
2y + 15 = 0 --> y = -7.5 (Discard this since age cannot be negative)
y - 10 = 0 --> y = 10
So, the younger sister is 10 years old.
To find the elder sister's age, we can substitute this value of y into equation (2):
x = 2y - 5
x = 2 * 10 - 5
x = 20 - 5
x = 15
Therefore, the elder sister is 15 years old.
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-) 2.01 + 8 + 0.593
0,593
200
Answer:
10.60305932
Step-by-step explanation:
Mia read x pages in the book. Laurie read 1/3 more than that
Step-by-step explanation:
Laurie read x+1/3 pages.
Mia read x pages.
Assume that two chords in a given circle are the same distance from the
center of the circle. Which of the following must also be true?
o
A. They must be diameters.
B. They must be parallel.
C. They must be congruent.
D. They must be perpendicular.
SNBMIT
The true statement the same distance from the center of the circle is they must be perpendicular.
We have given that,
Two chords in a given circle are the same distance from the center of the circle.
What is the condition for two chords to be congruent?If the two chords are congruent, then they must be equidistant from the center of the circle.
A is rejected because the chord might not pass through the center of the circle.
B is rejected because the chords are not obligated to be parallel.
C is rejected because it is not compulsory for the chords to be perpendicular.
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Answer: C. They must be congruent.
Step-by-step explanation:
las alturas medidas en centimetros de 15 niños de una primaria fueron las siguientes 145,135,150,144,137,152,139,146,140,149,148,135,143,151,135¿cual es el promedio,mediana y moda?
Answer:
145
Step-by-step explanation:
145 135 123 134 456 teukr68l67ewi6e5iu
find the minimum angle of rotation of the given figure a. 40* b. 60* c. 45* d. 8*
Answer:
45 degrees
Step-by-step explanation:
please tell fast plzzzzzz
Answer:
45
Step-by-step explanation:
1/2×90
45
complement=
90-45
45
Graph the line passing through (6,−2) whose slope is m=−3
Answer:
Step-by-step explanation:
When you know the slope m of a line and a point (x₀,y₀) on the line, you can write an equation for the line in "point-slope" form:
y-y₀ = m(x-x₀)
In your case,
y+2 = -3(x-6)
The line is easier to graph if you rearrange the equation to solve for y:
y = -3x+16
You know that (0,16) is one of the points on the line.
Plot the two points that you know, (6,-2) and (0,16), then draw a line through them.
if I play rock paper scissors what is the probability of my friend will not throw paper
Answer:
2/3 chance
Step-by-step explanation:
3 different things they could do, 1 is paper.
3-1=2
Pls help I’ll brain-lest ASAP
P = 2( L + W )
-divide both sides by 2
P/2 = L + W
-subtract L from both sides
P/2 - L = W
or
(P - L) / 2 = W
Simplify. Identify any x value for which the expression is undefined x^2+3x/x^3
Answer:
x = 0
Step-by-step explanation:
I think you mean
[tex] \dfrac{x^2 + 3x}{x^3} [/tex]
The only undefined values of x come from the denominator, x^3.
A denominator cannot equal zero since division by zero is undefined.
Therefore if x^3 equals zero, you get an un defined expression.
We let x^3 = 0 and solve for x to find the values of x that would cause an undefined expression.
x^3 = 0
Solve for x by taking the cubic root of both sides.
x = 0
Answer: x = 0
Line A is parallel to Line B
9. In the diagram, what is the value of x?
A. 78°
B. 108°
C. 98°
D. 82
Answer:
D or A
Step-by-step explanation:
The number of points scored by the girls basketball team in their last ten games are listed below. Which measure of center best describes the data? 38, 42, 45, 39, 48, 46, 39, 42, 45, 72
Answer:
median i think
Step-by-step explanation:
Karen is planting a tree. She wants to use two guy wires to stabilize the tree. If Karen places the guy wires 8 feet up the trunk and 7 feet from the base, how much total wire will she need for both guy wires? Round your answer to the nearest tenth.
Answer:
20 ft
Step-by-step explanation:
A measuring tape is generally a more precise tool for measuring length than
having a person "step off" the distance.
A. True
B. False
Answer:
a
Step-by-step explanation:
a measuring tape is more precise than measuring by whatever the second method is.
what is the multiplicative inverse of 19/3
Answer:
3/19
Step-by-step explanation: So basically you are asking for the reciprocal and the reciprocal of 19/3 is 3/19. You just basically flip the fraction around.
Kalansız bir bölme işleminde bölünen ile bölenin farkı 385 bölüm 12 olduğuna göre bölünen kaçtır
Step-by-step explanation:
bence 32 Kalansız bölme işleminde ama yinede sen bilirsin iyi akşamlar
The distance from Amy's house to Lake Ontario is 150 miles. On a map, it is 3 inches.
What is the scale used?
Answer:
50
Step-by-step explanation:
150 divided by 3 = 50
b. Solve for x in the
triangle:
74°
6x + 17
35
Step-by-step explanation:
74° + 35° + ( 6x + 17° ) = 180°6x + 17° = 180° - 74°- 35°6x + 17° = 180° - 109°6x + 17° = 71°6x = 71° - 17°6x = 54x = 54÷6x = 9MARK ME AS BRAINLIST PLZ FOLLOW METriangles
Given :-A diagram with angles 74°, 35° and ( 6x + 17 )°.
To Find :-Value of x.
Concept Used :-Sum of all angles in a triangle is 180°.
Solution :-Sum of all angles in a triangle = 180°
74° + 35° + 6x + 17° = 180°
6x + 74° + 35° + 17° = 180°
6x + 126° = 180°
6x = 180° - 126°
6x = 54°
x = 9
Answer :-So, value of x is 9.
Please help answer !:)
( WILL GIVE BRAINLST)
i dont know that so u answer it
Explain why it is correct to claim that A/B < B/A is true.
Given: 0 < A < B
I don't know how to explain this
Answer:
Think of it as a small number and a large number. If the large number is being divided by a small number, of course that would be larger than the small number being divided by the large number.
The statement /B < B/A is true if the 0 < A < B because the denominator is small so the value of B/A is larger.
What is inequality?It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.
We have:
A/B < B/A
If you use the principle that the fraction must not be incorrect and have the value A/B1 (i.e., A and B are both positive), then this is true for positive values.
If A/B = 2/3
Then B/A = 3/2
If A/B < B/A
2/3 < 3/2 (True) if 0 < A < B
5/7 < 7/5 (true) if 0 < A < B
Thus, the statement /B < B/A is true if the 0 < A < B because the denominator is small so the value of B/A is larger.
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Find the value needed for the “?” to make the equation true.
d^?/d^11 = d^7
Answer: ? =__
Answer:
? = 18
Step-by-step explanation:
Answer:
? = 18
Step-by-step explanation:
d^?/d^11 = d^7
d^? = d^11*d^7
d^? = d^(11+7)
d^? = d^18
? = 18
Solve for x in the following equation.
6x=72
X=?
Solve this systems of equations
{y = 3x}
{x + y = 52}
WILL MARK BRAINLEST!!
Answer:
x = 13
Step-by-step explanation:
x + y = 52
x + 3x =52
4x =52
x =52/4
x = 13
Hope this helps
Pls tell if any mistakes
Step-by-step explanation:
given
y=3x
x+y=52
now
x+y=52
x+3x=52
4x=52
x=52/4
x=13
therefore y=3*13=39
There are 5 more than twice as many students taking Algebra 1 than taking Algebra 2. If there are 44 students taking Algebra 2,
what is the least number of students who could be taking Algebra 1? The least number of students is (pe numbers only)
Help asap
Answer: 54
Step-by-step explanation:
Solve the system below"
W
y = - 3x + 17
y = -x + 3
O (7.4)
O (-7,-4)
O (7.-4)
Answer:
I think its (7,-4)
Step-by-step explanation:
solve x:
plug in y
-x+3=-3x+17
solve
x=7
solve y:
plug in what you got for x
y=-3(7)+17
solve
y=-4
20 + 30 + 90 + 2 + 278 + 7 + 2891 + 29 = Whats the answer?
Answer:
3347 is the answer. Hope that helps
Answer:
3347
Step-by-step explanation:
20+30=50
50+90=140
140+2=142
142+278=420
420+7=427
427+2891=3318
3318+29=3347
657 is decreased by 3% and then increased by 3%
Answer:
675
Step-by-step explanation:
675 is decreased by 3% and then increased by 3%. Hence, no change occurred.
Which expression shows the sum of 8 and a number f
Answer:
8+f
Step-by-step explanation:
The SUM of 8 and f
Pls tell me if Im wrong
Hope this helps
HELPP PLEASE W A MATH PROBKEN If x is 6, what is:
X +4
Answer:
10
Step-by-step explanation:
x=6, so 6+4=10
Answer:
10
Step-by-step explanation:
so if x is 6 then it would be 6+4=10
Solve each proportion 2/r=12/18
Answer:
r = 3
Step-by-step explanation:
starting with
2 / r = 12 / 18. we cross multiply
18 * 2 = 12 * r
36 = 12 * r
and divide by 12 to isolate "r"
36 / 12 = r
Then r = 3
