[tex]\bold{\huge{\underline{ Solution }}}[/tex]
Given :-Meena mother is 4 times as old as Meena After 5 years, Her mother will be 3 times as old as she will be then. To Find :-We have to find the present ages of Meena and her mother. Let's Begin :-Let the present age of Meena be ' x ' years.
Now, It is given in the question that her mother is 4 times as old as MeenaThat means,
Present age of her mother
[tex]\sf{ = 4x \: years }[/tex]
Now,
After 5 years
The age of the Meena will be
[tex]\sf{ = x + 5 \: years }[/tex]
Therefore,
According to given condition,
The age of her mother will be
= [tex]\sf{ = 4x + 5 \: years ...eq(1)}[/tex]
But, It is given that,
After 5 years, Her mother will be 3 times as old as Meena.That is,
After 5 years, Her mother age will be
[tex]\sf{ = 3(x + 5) \: years ...eq(2)}[/tex]
From eq(1) and (2) :-
[tex]\sf{ 4x + 5 = 3(x + 5) }[/tex]
[tex]\sf{ 4x + 5 = 3x + 15}[/tex]
[tex]\sf{ 4x - 3x = 15 - 5 }[/tex]
[tex]\sf{ x = 10 \: years }[/tex]
Thus, The present age of the Meena will be 10 years.
Therefore,
The present age of her mother will be
[tex]\sf{ 4x = 4 × 10 }[/tex]
[tex]\sf{ = 40 \: years }[/tex]
Hence, The present of Meena and her mother is 10 years and 40 years.
A flagpole casts a shadow that is 50 feet long. At the same time, a woman standing nearby who is 6 feet tall casts a shadow that is 3 ft long. How tall is the flagpole?
The height of the flagpole is 100 feet.
What are shadows?Shadows are area devoid of light as a result of the obstruction of light by an opaque object.
Analysis:
The length of the shadow and the height of the flagpole are at right angles.
Similarly, the height of the woman and the length of her shadow are at right angles. Making both similar right-angled triangles.
The ratio of the height of the woman to that of pole is equal to ratio of the length of woman's shadow to that of the flagpole.
let length of flagpole be h.
height of woman = 6 feet
length of shadow of woman = 3 feet
length of shadow of pole = 50 feet.
[tex]\frac{6}{h}[/tex] = [tex]\frac{3}{50}[/tex]
3h = 300
h = 100 feet
In conclusion, the height of the flag pole is 100 feet.
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A crowd of 24,000 supporters go to watch a
football match.
One third of them have a cup of one third tea at half time, but
only one in five have a cup of coffee. The remainder
have hot chocolate.
What fraction of fans has hot chocolate?
9 in
11 in
5 ft
19 in
12 in
Surface
Surface Area =
9)
3)
I need the surface area some please help
Answer:
730 in cubed
Step-by-step explanation:
hope this helps
have a good day
write the product using exponents
The product of the expression [tex]6*6*6*6*6[/tex] is [tex]6^{5}[/tex] or 7776.
What are exponents and powers?Power can be defined as an expression that represents repeated multiplication of the same number whereas exponent is the quantity that represents the power to which the number is raised.
Given expression is : [tex]6*6*6*6*6[/tex]
= [tex]6^{5}[/tex] [a*a*a*a*a=[tex]a^{5}[/tex]]
= 7776
Hence, [tex]6*6*6*6*6[/tex] = [tex]6^{5}[/tex] or 7776
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Problem 7
The figure shows a large rectangle with a small rectangle removed from one corner.
18
4
12
What is the area of the figure?
o A. 60 square units
o
B. 66 square units
OC. 72 square units
O D. 84 square units
Answer:
60
Step-by-step explanation:
add 18 and 12 to get 30 and divide that by 2 then you will get 15.
15 times 4 is 60
-1/3+(-7/4) in simplist form
Answer:
your answer will be [tex]-\frac{25}{12}[/tex]
Step-by-step explanation:
hope this helps have a nice day :)
[tex]-\dfrac 13 + \left( -\dfrac 74\right)\\\\\\=-\dfrac 13 - \dfrac 74\\\\\\=-\dfrac{4}{12}-\dfrac {21}{12}\\\\\\=-\left( \dfrac 4{12} + \dfrac{21}{12} \right)\\\\\\=-\left( \dfrac{4+21}{12}\right)\\\\\\=-\dfrac{25}{12}[/tex]
You pick a card at random. Without putting the first card back, you pick a second card at random.
3
4
5
What is the probability of picking a 5 and then picking a number greater than 4?
Write your answer as a percentage.
Answer:
1/6 or 16
Step-by-step explanation:
I hope this is the correct answer
can someone help me im really stuck on this and im trying to pass
Answer:
7
Step-by-step explanation:
Leanne and her family plan to attend a symphony at an orchestra hall. Before booking the tickets, Leanne checked a website where visitors rated the view of the symphony's soloist from their seating section. The data from the website is summarized in the table.
Section Number of reviewers who sat in the section Number of reviewers who rated the view as "perfect"
L1 90 57
L2 52 33
L3 75 47
U1 84 55
U2 43 27
U3 35 22
According to the data from the website, in which seating section should Leanne's family book the tickets if they want to maximize their chances of having a "perfect" view of the symphony's soloist?
Using proportions, it is found that Leanne's family should book their tickets at Section U1 to maximize their chances of having a "perfect" view.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, the section with the highest proportion of perfect views should be chosen, hence:
pL1 = 57/90 = 0.633
pL2 = 33/52 = 0.635
pL3 = 47/75 = 0.623
PU1 = 55/84 = 0.655
pU2 = 27/43 = 0.628
pU3 = 22/35 = 0.629
Leanne's family should book their tickets at Section U1 to maximize their chances of having a "perfect" view.
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Answer:
answer in the picture have a nice day loves :)
Step-by-step explanation:
OMG GUYS HELP ME I GIVE 100 points what is 1+1 and what is 2-1 tell me!!! QUICK
Answer: 1 + 1 = 2
2-1 = 1
Step-by-step explanation:
basic math stuff
Hunter just got hired for a new job and will make $31,000 in his first year.
Hunter was told that he can expect to get raises of $1,500 every year going
forward. How much money in salary would Hunter make in his 10th year
working at this job?
Which of the following statements are true about the graph below? Select all that apply
Eli's bedroom door is 9 feet tall and 3 feet wide. A new door is 2. 00 per square foot. How much would a new bedroom door cost in total
Answer: 54.00
Step-by-step explanation:
Door is 9 × 3= 27ft²
1ft² = 2.00
27ft²= 54.00
Mr frank bought 6 pounds of grapes and 3 pounds of apples in the store. he paid $28.20 for the whole purchase. his neighbor mrs. bland pain $16.90 for 2 pounds of grapes and 4 pounds of apples. if all of the apples in the store cost the same and all grapes cost the same, what is the price of one pound of grapes?
The price of one pound of grapes and one pounds of apples in the store is $3.45 and $2.5 respectively.
Simultaneous equationlet
x = price of grapesy = price of apples6x + 3y = 28.20
2x + 4y = 16.90
multiply equation (2) by 36x + 3y = 28.20
6x + 12y = 50.70
subtract the equation9y = 22.50
y = 22.50/9
y = $2.5
substitute y into (2) in
2x + 4y = 16.90
2x + 4(2.5) = 16.90
2x + 10 = 16.90
2x = 16.90 - 10
2x = 6.90
x = 6.90/2
x = $3.45
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Here is a diagram and its corresponding equation. Find the solution to the equation. Tape diagram, 4 parts labeled x + 7, total 38. 4(x+7)=38
On a coordinate plane, triangle R S T has points (negative 5, 6), (3, 4), and (negative 2, 2). Which expression can be used to find the area of triangle RST? (8 ∙ 4) - One-half (10 12 16) (8 ∙ 4) - (10 12 16) (8 ∙ 4) - One-half (5 6 8) (8 ∙ 4) - (5 - 6 - 8).
Answer:
Step-by-step explanation:
its D, (8 x 4)-(5-6-8)
One year, the population of a city was 73,000. Several years later it was 85,410. Find the percentage decrease
The percentage decrease is 14.52% if, one year, the population of a city was 73,000. Several years later, it was 85,410.
What is the percentage?It is defined as the ratio of two numbers expressed in the fraction of 100 parts. It is the measure to compare two data, the % sign is used to express the percentage.
The initial population = 85410
The final population = 73000
The decrease = (85410 - 73000)/85410 = 0.1452
The percentage decrease = 0.1452×100 = 14.52%
Thus, the percentage decrease is 14.52% if one year, the population of a city was 73,000. Several years later, it was 85,410.
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Write Expression from Context (mx+b)
Tyee signed up for a streaming music service that costs $6 per month. The service allows Tyee to listen to unlimited music, but if he wants to download songs for offline listening, the service charges $0.75 per song. How much total money would Tyee have to pay in a month in which he downloaded 10 songs? How much would he have to pay if he downloaded ss songs?
Answer:
Total cost for 10 songs = 6 + [0.75 × 10]
= $13.5
Step-by-step explanation:
a 10 gallinas,un costal de alimentos les dura 30 dias .¿cuanto dias les durara el mismo costal de alimentos a un grupo de 15 gallinas y a otro de 25 gallinas?
Usando proporciones, hay que el mesmo costal dura 20 dias a un grupo de 15 gallinas y 12 dias a un grupo de 25 gallinas.
¿Qué es una proporción?Una proporción es una fracción de la cantidad total, e puede ser encontrada aplicando una regla de três.
a 10 gallinas,un costal de alimentos les dura 30 dias. ¿cuanto dias les durara el mismo costal de alimentos a un grupo de 15 gallinas? La regla de três es dada por:
10 gallinas - 30 dias
15 gallinas - x dias
Las medidas son inversamente proporcionales, por eso, aplica-se multiplicación de linea:
15x = 300
x = 20
Para 25 gallinas:
10 gallinas - 30 dias
25 gallinas - x dias
25x = 300
x = 12
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Which math sentence can be used to determine if this triangle is a right triangle? A triangle has side lengths 12, 15, 18. 12 15 = 18 12 squared 15 squared = 18 squared 12 18 = 15 12 squared 18 squared = 15 squared.
Answer: its c
Step-by-step explanation:
please answer!!!!!! will mark brainliest
Answer:
The answer is 2/5 or 5.25
Step-by-step explanation:
5 sections so out of 5 and it said A or B so it is 2/5
Dolores is going to make a sandwich. She has 2 types of bread, 3 types of cheese, and 2 types of meat to choose from. How many different sandwiches can she make that have 1 bread, 1 cheese, and 1 meat?
which angle is vertical to 6
Answer: Angle 3
Step-by-step explanation:
Vertical angles are the angles opposite to each other which form when two lines cross each other. In this example the opposite of angle 6 is angle 3.
IF YOUR GOOD AT GEOMETRY HELPP ME PLEASEE!!
Answer:
3, 4 and 5
Step-by-step explanation:
Finding BC :
√AB² + AC²√6² + 8²√36 + 64√10010Now if the triangles are similar their sides in the same proportion. And as you can tell they are slightly smaller. Hence, to find the sides, divide the given sides by 2.
3, 4 and 5Write an expression for the sequence of
10 increased by the sum of 9 and n
Answer:
10 + (9 + n) = ?
Jeremy wants to verify that the transformation shown is a dilation. He finds the lengths of segments QA and AD to be 4 units. To verify that the transformation is a dilation, Jeremy should also check which of the following? Select three options.
1. QB = 1/2QE
2.QC = CF
3. DE = 2AB
4. AC = 1/2EF
5. if BC = 2.25, then EF = 2.25
Based on the information given regarding the triangle, to verify that the transformation is a dilation, the things that should be checked include:
QB = One-halfQEQC = CFDE = 2ABSolving the traingle.From the information given, it was stated that Jeremy wants to verify that the transformation shown is a dilation and that he finds the lengths of segments QA and AD to be 4 units.
Therefore, to verify that the transformation is a dilation, Jeremy should also check QB = One-halfQE; QC = CF; and DE = 2AB.
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plssss i need helpp ASAP
Answer:
A.
1) 60
2) 27
B)
1.cm³
2.cm³
3.m³
Step-by-step explanation:
A)
5x3x4 =60cm³
3x3x3=27cm³
B)
1.cm³
2.cm³
3.m³
how do u find the volume of a prisum
Answer:
V = BH
Step-by-step explanation:
Any prism volume is V = BH where B is area of base and H is height of prism, so find area of the base by B = 1/2 h(b1+b2), then multiply by the height of the prism.
Answer:
Multiply its 3 dimensions: length x width x height.
Step-by-step explanation:
HELP ME WITH THIS NOW PLEASE
Answer:
B. 0.4
Step-by-step explanation:
area of circle is [tex]\pi r^{2}[/tex]
[tex]\pi 3^{2} =28.27[/tex]
area of triangle is bh[tex]\frac{1}{2}[/tex]
(14)(10)(1/2)=70
[tex]\frac{28.27}{70}[/tex]=0.403857
The perimeter of a cabinet door is 38 inches. The door is 6 inches wide. How tall is it?
Answer:
bro its 26 all together, but per side length its 13 each
Step-by-step explanation:
Answer: 13
Step-by-step explanation:
2L + 2B = Perimeter
(2× L) +( 2×6) = 38
2L + 12 = 38
2L = 26
L = 13
