Question :-
After 24 years, Rama will be 5 times as old as he is now . Find his Present Age .Answer :-
Present Age of Rama is 6 Years .[tex] \rule {180pt} {2pt} [/tex]
Given :-
After 20 years, Rama will be 5 times as old as he is Now .To Find :-
Present Age of Rama = ?Solution :-
As per the provided information in the given question, we have been given that After 20 years, Rama will be 5 times as old as he is now. And, we have been aksed to calculate Present Age of Rama.
Let :-
The Present Age of Rama be x .Therefore :-
[tex] \longmapsto \: \: \:\sf{x \: + \: 24 \: = \: 5x} \\ [/tex]
[tex] \longmapsto \: \: \sf{24 \: = \: 5x \: - \: x} \\ [/tex]
[tex] \longmapsto \: \: \sf{24 \: = \: 4x} \\ [/tex]
[tex] \longmapsto \: \: \sf{x \: = \: \dfrac{24}{4} } \\ [/tex]
[tex] \longmapsto \: \: \textbf{ \textsf{x \: = \: 6 }} [/tex]
Hence :-
Present Age of Rama = 6 years .[tex] \underline {\rule {180pt} {4pt}} [/tex]
Given :
After 24 years, Rama will be 5 times as old as he is now .⠀
To Find :
Rama's Present Age .⠀
Solution :
Let us assume the present age of Rama as x years .So, 5 times of his age will be 5x years.Now,
⠀
According to the Question :
[tex]{ \longrightarrow {\qquad {\sf 5x = x + 24 }}}[/tex]
⠀
Subracting x from both sides we get :
[tex]{ \longrightarrow {\qquad {\sf 5x - x= x - x+ 24 }}}[/tex]
[tex]{ \longrightarrow {\qquad {\sf 4x= \cancel{x} \: \: \cancel{- x}+ 24 }}}[/tex]
[tex]{ \longrightarrow {\qquad {\sf 4x= 24 }}}[/tex]
⠀
Dividing both sides by 4 we get :
[tex]{ \longrightarrow {\qquad {\sf \dfrac{4x}{4} = \dfrac{24}{4} }}}[/tex]
[tex]{ \longrightarrow {\qquad \pmb {\bf x= 6 }}}[/tex]
⠀
Therefore,
Rama's present age is 6 years.A square pyramid has a height of 12 units and a volume of 256 units3. If a square prism has the same the base area and volume as the square pyramid, what is its height? 12 units 10 units 4 units 3 units.
A square prism has the same the base area and volume as the square pyramid is 4 units.
What is the volume of square pyramid?The volume of a square pyramid is,
[tex]a^{2} *h/3[/tex]
[tex]256=a^{2} *12/3[/tex]
[tex]256=4 a^{2}[/tex]
[tex]256/4=a^{2}[/tex]
[tex]64=a^{2}[/tex]
[tex]a=8[/tex]
Now we know that the square is 8 by 8.
A square pyramid has a height of 12 units and a volume of [tex]256 units^3[/tex]
What is the volume of of a square prism?The volume of a square prism is a²h
[tex]V=a^{2} h[/tex]
[tex]256=64h[/tex]
[tex]256/64=h[/tex]
[tex]h=4[/tex]
The height is 4 unit
Also, a square pyramid is 1/3 the volume of a square prism.
[tex]\frac{12}{3}=4[/tex]
Therefore,we get a square prism has the same the base area and volume as the square pyramid is 4 units.
To learn more about the area of the square prism visit:
https://brainly.com/question/3295111
Answer:
4 units
Step-by-step explanation:
I got it right on the test :)
Please help! BRAINLIEST AWARD!
Answer:
88
Step-by-step explanation:
201+201+104+104
=610
610-577
=88
?????????????????????????????????????????????????????????????????????????
Answer:
in explanation
Step-by-step explanation:
as the question told you, if there're 5 counselors, there's a maximum for students of 15. and for 15 counselors, there's a maximum for students of 45. we can easily see that every one counselor can only have 3 students. therefore, you should draw each dot with respect to the counselors' amount, but because two points determine one line, all you need to do is draw (5,15), (15,45) and line them from 0 to 50.
what can i add 1.2 with to get 11.2
Please can someone answer this for me?
Answer:
1.
$.33
$3
2.
all the answers can be found when the rate is known which is
grapes are sold at $3 per pound
Step-by-step explanation:
$6 ÷ 2 pounds = $3 per 1 pound
this means 1 pound of grapes is $3
next row
1 ÷ 3 = $.33
3rd row
1 multiplied by 3 = $3
2.
all the answers can be found when the rate is known which is
grapes are sold at $3 per pound
Please help me out hurry!
Answer:
16?
Step-by-step explanation:
1 = 4
2 = 7
3 = 10
4 = 13
5 = 16
Please answer
Solve for the missing angles
1=
2=
3=
4=
Answer:
correct answer is : To determine to measure of the unknown angle, be sure to use the total sum of 180°. If two angles are given, add them together and then subtract from 180°. If two angles are the same and unknown, subtract the known angle from 180° and then divide by 2.
8. A company sells a product for $15.99 each.
The expenses to make the product this month
totaled $25,000. If they make a profit of $5,381
this month, how many products did they sell?
Answer:
the company made 1900 products
Step-by-step explanation:
add the expenses and profit together to get 30381 and divide it by 15.99 since each item sells for 15.99 and you get 1900 products sold
The following table shows a portion of a five-year amortization schedule. A 5-year amortization schedule. Loan amount or principal: 10,900 dollars. Interest rate on loan: 10. 95 percent. A 5-column table with 6 rows. Column 1 is labeled Month with entries 15, 16, 17, 18, 19, 20. Column 2 is labeled Payment with all entries 236. 72. Column 3 is labeled Principal with entries 155. 87, 157. 29, 158. 73, 160. 18, 161. 64, 163. 11. Column 4 is labeled Interest with entries 80. 85, 79. 43, 77. 99, 76. 54, 75. 08, 73. 61. Column 5 is labeled Balance with entries 8,704. 27, 8,546. 98, 8,388. 25, 8228. 07, 08. 66. 43, 7,903. 32. What percent of the payments made were due to interest for the months shown? a. 30. 9% b. 32. 6% c. 62. 5% d. 63. 4%.
The percentage of the payments made were due to interest is 32.6 %. Then the correct option is B.
What is the percentage?The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.
The following table shows a portion of a five-year amortization schedule.
A 5-year amortization schedule.
Loan amount or principal: 10,900 dollars.
The interest rate on loan: 10. 95 percent.
The table will be
Month Payment Principal Interest Balance
15 236.72 155.87 80.85 8704.27
16 236.72 157.29 79.43 8546.98
17 236.72 158.73 77.99 8388.25
18 236.72 160.18 76.54 8228.07
19 236.72 161.64 75.08 80.66.43
20 236.72 163.11 73.61 7903.32
Total payment = 6 × 236.72 = $ 1420.32
Total interest = 80.85 + 79.43 + 77.99 + 76.56 + 75.08 + 73.61
Total interest = $ 463.38
Then the percentage will be
[tex]\rm Percentage = \dfrac{463.38}{1420.32}*100\\\\Percentage = 32.625 \approx 32.6\ \%[/tex]
More about the percentage link is given below.
https://brainly.com/question/8011401
Find the midpoint of the line segment with end coordinates of: (−4,−2) and (−2,−10).
Please answer. If answer question you get 20 points
Answer:
-3,-6
Step-by-step explanation:
(x+x)/2,(y+y)/2=midpoint
(-4+-2)/2,(-2+-10)/2=(-3,-6)
Answer=(-3,-6)
Answer: negative 3 comma and negative 6
Step-by-step explanation:
If two cards are drawn from a regular shuffled deck, what is the probability that both cards will be diamonds?
Answer: The first card is a diamond and the second card is a heart. Both cards are hearts. Let H denote the event that a heart is drawn; let D denote the event that a diamond is drawn. The first card is a diamond and the second card is a heart: The probability of drawing a diamond on the first draw
Step-by-step explanation:
Sean packs 15 pounds of nuts in bags. Each bag has 1/4 pound of
nuts. Which equation shows the number of bags Sean packed with
all the nuts?
A. 15 divided by 1/4 = 15/4
B. 13 x 1/4 = 15/4
C. 15 x 1/4 = 60
D. 15 divided by 1/4 = 60
Answer:
15 multiply by quarter is equal yo 60
Kyle made a planter box that is 4 4 meters long, 1.5 1.5 meters wide, and 2 2 meters high. They want to know what volume of potting soil they need to fill the box. Which formula can Kyle use to find the correct volume as a product of the edge lengths?
Answer:
(4 * 1.5) * 2 = 12
Step-by-step explanation:
Triangle P Q R is shown. Angle P Q R is a right angle. The length of Q R is p, the length of R P is q, and the length of P Q is r. Which sine ratios are correct for ΔPQR? Check all that apply.
A. sin (P) = StartFraction r Over q EndFraction
B. sin (P) = StartFraction p Over q EndFraction
C. sin (Q) = StartFraction r Over p EndFraction
D. sin (R) = StartFraction q Over r EndFraction
E. sin (R) = StartFraction r Over q EndFraction
Step-by-step explanation:
answer is in the picture
Option A (sin(P) = r/q), Option C (sin(Q) = r/p), and Option D (sin(R) = q/r) are correct sine ratios for ΔPQR. Option B (sin(P) = p/q) and Option E (sin(R) = r/q) are not correct sine ratios for ΔPQR.
To determine the correct sine ratios for ΔPQR, let's recall the definitions of sine for each angle in a right-angled triangle.
In a right-angled triangle ΔPQR:
1. sin(P) = opposite side / hypotenuse = r / q (Correct) [By definition of sine in a right triangle, sin(P) = opposite/hypotenuse]
2. sin(Q) = opposite side / hypotenuse = r / p (Correct) [By definition of sine in a right triangle, sin(Q) = opposite/hypotenuse]
3. sin(R) = opposite side / hypotenuse = q / r (Correct) [By definition of sine in a right triangle, sin(R) = opposite/hypotenuse]
Option A (sin(P) = r/q), Option C (sin(Q) = r/p), and Option D (sin(R) = q/r) are correct sine ratios for ΔPQR. Option B (sin(P) = p/q) and Option E (sin(R) = r/q) are not correct sine ratios for ΔPQR.
Learn more about right-angled triangle here
https://brainly.com/question/21472842
#SPJ2
What is the recursive formula for this sequence?
14, 18, 22, 26, 30, .
Answer:
4
Solving steps:
In order to find the sequence substract the previous
=> 18 - 14
=> 4
So, 14 + 4 = 18
18 + 4 = 23
etc.
Multiply: (x – 4)(x + 5)
(a) x2 + 5x - 20
(b) x2 - 4x - 20
(c) x2 - x - 20
(d) x2 + x - 20
[tex]\small\bold{(x – 4)(x + 5) }[/tex]
[tex]\small\bold{ → x(x + 5) -4(x + 5) }[/tex]
[tex]\small\bold{→ x2 + 5x – 4x – 20 }[/tex]
[tex]\small\bold{ → x2 + x - 20 }[/tex]
Option (d) x2 + x - 20 is correct
» Multiply: (x – 4)(x + 5)
(a) x² + 5x - 20(b) x² - 4x - 20(c) x² - x - 20(d) x² + x - 20[tex] \mathbb{ANSWER:}[/tex][tex]\tt \color{hotpink} \bold{{x}^{2} + x- 20}[/tex]
— — — — — — — — — —
Solution:[tex]\tt \bold{ F} \to (x – 4)(x + 5) = \blue{ {x}^{2} }[/tex][tex] \tt \bold{O } \to (x – 4)(x + 5) = \blue{ 5x}[/tex][tex] \tt \bold{ I} \to(x – 4)(x + 5) = \blue{ -4x}[/tex][tex] \tt \bold{L } \to (x – 4)(x + 5) = \blue{ - 20} [/tex]So,
[tex] \to \: \tt x {}^{2} + 5x - 4x - 20 \\ \tt \: = \underline{ \boxed{ \purple{ \tt{ {x}^{2} + x - 20 }}}}[/tex]
Hence, choice D is correct.
_______________❦︎_______________
A jewelry store has many pieces of jewelry for sale.
pins 1
bracelets 62
pairs of cufflinks 11
rings 2
pairs of earrings 4
What is the probability that a randomly selected piece of jewelry will be a pair of earrings?
Write your answer as a fraction or whole number.
P(pair of earrings) =
Greg has a bank account balance of $350. He starts a new job and begins saving $50 per week.
Write a function, G, to model the amount of money Greg has in his bank account after x weeks.
Answer:
G=50x+350
Step-by-step explanation:
plssss helppp i have a test tomorrow
Answer:
2 ft³
Step-by-step explanation:
Volume of a box = length × width × height
Length = 1 ft
width = 1 ft
height = 2 ft
Volume = 1 × 1 × 2 = 2 ft³
Find the area of the circle below. You must show all work to get full credit. Don't forget to label your answer.
Answer:
Area ≈ 1256 [tex]in^{2}[/tex]
Step-by-step explanation:
The formula to find the area of a circle is [tex]\pi r^{2}[/tex]
the diameter of this circle is 40 inches. The radius is half of that, 20 inches.
[tex]\pi 20^{2}[/tex] = [tex]400 \pi[/tex]
[tex]400\pi[/tex] ≈ 1256
Area ≈ 1256 [tex]in^{2}[/tex]
What is the area of a semi-circle with a diameter of 12cm
Answer:
56.52 cm²
Step-by-step explanation:
Equation = ½ pi r²
So...
= ½ pi r²
= ½×3.14×6×6 (Replace 3.14 in Pi and replace 6×6 in r²)
= 1.57×36
= 56.52 cm²
Pls mark me Brainliest. I need it.
if you answer i will give you brainliest and heart and make your popularity go up and stuff
A surveyor asked 250 residents of a town with a population of 15,000 on whether they fish in any of the town's lakes. 95 people answered "yes" to the question.
How many people would be expected to answer "yes" given the entire population was surveyed?
Enter your answer in the box.
Answer:
9300
Step-by-step explanation:
please help asap!!!!
Answer:
y = 3 + the square root of 2.
Step-by-step explanation:
message me if you have any other math questions
-7(-v-2w+3) use the distributive property to remove the parentheses.
100 points!!! please help me it's about finding the area of this triangle in the picture!!
Answer:
198 sq cm
Step-by-step explanation:
[tex]A(trapezoid) = \frac{1}{ \cancel 2} (21 + 12) \times \cancel{12} \\ \\ =33 \times 6 \\ \\ = 198 \: {cm}^{2} [/tex]
Answer: 198
Step-by-step explanation:
add the bases together which is 12 + 21 = 33 and the heigh is 12 which mean u multiply the base andheight and its 198 because the answer that is not divided has to be divided by 2
How many committees can be formed by choosing 4 men from an organization of a membership of 15 men?
The selection of the committee members is an illustration of combination
There are 150150 different ways of selecting the committee
How to determine the total selectionThe number of members (n) is:
n = 15
The members on the committee are (r):
r = 4
So, the number of selection is:
[tex]^nC_r = \frac{n!}{(n - r)!r!}[/tex]
This gives
[tex]^{15}C_4 = \frac{15!}{(15 - 4)!4!}[/tex]
Evaluate the differences
[tex]^{15}C_4 = \frac{15!}{9!4!}[/tex]
Expand
[tex]^{15}C_4 = \frac{15* 14 * 13 * 12 * 11 * 10 * 9!}{9!4!}[/tex]
This gives
[tex]^{15}C_4 = \frac{15* 14 * 13 * 12 * 11 * 10}{4!}[/tex]
[tex]^{15}C_4 = 150150[/tex]
Hence, there are 150150 different ways of selecting the committee
Read more about combination at:
https://brainly.com/question/12468032
Rick and Laurie have three dogs. Diesel weighs 89 pounds 12 ounces. Ebony weighs 33 pounds 14 ounces less than Diesel. Luna is the smallest at 20 pounds 2 ounces. What is the combined weight of the three dogs in pounds and ounces?
Let's get all of the dogs weights displayed:
Diesel: 89 Pounds 12 Ounces
Ebony: 55 Pounds 14 Ounces
Luna: 20 Pounds 2 Ounces
Total Pounds: 164
Total Ounces: 28
Total Weight: 165 Pounds and 12 Ounces
Find the value of y in the solution to the system of equations shown. y=5x+3 2y=18x-10
Answer:
13
Step-by-step explanation:
To find the value of y, we will use the substitution method
Plug the y of the top equation into the other equation
2(5x + 3) = 18x - 10
Distribute the 2 into the equation inside the parenthesis
10x + 6 = 18x - 10
Subtract 10x from both sides
10x + 6 = 18x - 10
-10x -10x
6 = 8x - 10
Add 10 to both sides
6 = 8x - 10
+10 + 10
16 = 8x
Divide both sides by 8
16/8 = 8x/8
x = 2
Sub the 2 in the place of x into one of the original equations. We will use the first one.
y = 5(2) + 3
y= 10 + 3
y = 13
Answer:
y = 13
Step-by-step explanation:
y = 5x + 3
2y = 18x- 10
substitution (substituting y with the y value given):
2( 5x + 3 ) = 18x - 10
solve:
10x + 6 = 18x - 10
10x - 18x = -10 - 6
-8x = -16
x = 2
now plug in the x:
y = 5( 2) + 3
y = 10 + 3
y = 13
Find the 86th term of the arithmetic sequence 18,21,24
Answer:
273
Step-by-step explanation:
Pat’s Pizza Place sells large pies for $12 with a charge of $2 for each topping. If Reagan only has a $20 bill to spend on a pizza, which graph best represents the number of toppings she can afford to add to her pie? A number line going from 2 to 7. A solid circle is at 4. Everything to the left of the circle is shaded. A number line going from 2 to 7. A solid circle is at 4. Everything to the right of the circle is shaded. A number line going from 2 to 7. A solid circle is at 6. Everything to the left of the circle is shaded. A number line going from 2 to 7. A solid circle is at 6. Everything to the right of the circle is shaded.
Answer:
A number line going from 2 to 7. A solid circle is at 4. Everything to the left of the circle is shaded.
Step-by-step explanation:
The pizza itself will cost $12, and because toppings cost $2 apiece, the maximum amount of toppings that can be used is 4.
4·2=8
8+12=20
So, by putting a closed circle on 4, going to the left, the line shows that she can buy anywhere from 0-4 topping on her pizza.
Answer:
A
Step-by-step explanation: