Answer: Rs. 69
Step-by-step explanation:
Let the amount that the adults have to pay be Rs. “x” and the amount that the senior citizens have to pay be Rs. “y”.
Step 1:
According to the question, we get
Equation 1:
6x + 4y = 228
Equation 2:
13x + 7y = 459
Step 2:
Then, by multiplying equation 1 by 7 & equation 2 by 4, we get
7 * [6x + 4y = 228]
⇒ 42x + 28y = 1596 …. (iii)
And,
4 * [13x + 7y = 459]
⇒ 52x + 28y = 1836 …. (iv)
Step 3:
Now, Subtracting eq. (iii) from eq. (iv), we get
52x + 28y = 1836
42x + 28y = 1596
(-) (-) (-)
---------------------------
10 x = 240
----------------------------
⇒ x = 240/10 = 24
Substituting the value of x in Eq. (1)
(6*24) + 4y = 228
⇒ y = [228 - 144]/4 = 21
Step 4:
Thus,
The total amount that 2 adults and a senior citizen have to pay to visit the exhibition is,
= 2x + y
= (2*24) + 21 ….. [substituting x= 24 & y = 21]
= Rs. 69
Step-by-step explanation:
Hope this helps
can i get braineist
A large rectangle is made up of nine identical rectangles whose longer side equals 10. What is the area of the large rectangle?
==========================================================
Explanation:
Refer to the diagram below.
A small rectangle has its longer side equal to 10 and its shorter side is x, which is some real number on the interval 0 < x < 10.
Across the top, the two sides of length 10 add to 20. So the larger rectangle has a horizontal dimension of 20 units.
The vertical side of the larger rectangle is x+10+x = 2x+10 units
The area would be
area = length*width = 20(2x+10) = 40x+200
Each of the nine smaller rectangles has area of length*width = 10x. Since we have 9 identical copies, the smaller rectangle areas must add to 9*10x = 90x
---------------
Equate those two expressions and solve for x
90x = 40x+200
90x-40x = 200
50x = 200
x = 200/50
x = 4
So each smaller rectangle has area of 10*x = 10*4 = 40 square units. In total, the nine smaller rectangles combine to an area of 9*40 = 360 square units
Note how x = 4 leads 40x+200 to result in 360 as well.
Suppose M is the midpoint of Segment AB, P is the midpoint of Segment AM, and Q is the midpoint of segment PM.
If a and b are the coordinates of A and B, find the coordinates of M, P, and Q in terms of a and b.
The coordinates of M, P and Q in terms of a and b are [tex]M = \frac{1}{2}\cdot a + \frac{1}{2}\cdot b[/tex], [tex]P = \frac{3}{4}\cdot a + \frac{1}{4}\cdot b[/tex] and [tex]Q = \frac{1}{8}\cdot a - \frac{1}{8}\cdot b[/tex], respectively.
In this question we are going to use definitions of vectors and product of a vector by a scalar. Based on the information given on statement, we have the following vectorial formulas:
Location of M
[tex]\overrightarrow{AM} = \frac{1}{2}\cdot \overrightarrow{AB}[/tex]
[tex]\vec M - \vec A = \frac{1}{2}\cdot \vec B - \frac{1}{2}\cdot \vec A[/tex]
[tex]\vec M = \frac{1}{2}\cdot \vec A +\frac{1}{2}\cdot \vec B[/tex]
[tex]M = \frac{1}{2}\cdot a + \frac{1}{2}\cdot b[/tex]
Location of P
[tex]\overrightarrow{AP} = \frac{1}{2}\cdot \overrightarrow{AM}[/tex]
[tex]\vec P - \vec A = \frac{1}{2}\cdot \vec M - \frac{1}{2}\cdot \vec A[/tex]
[tex]\vec P = \frac{1}{2}\cdot \vec A +\frac{1}{2}\cdot \vec M[/tex]
[tex]\vec P = \frac{3}{4}\cdot \vec A + \frac{1}{4}\cdot \vec B[/tex]
[tex]P = \frac{3}{4}\cdot a + \frac{1}{4}\cdot b[/tex]
Location of Q
[tex]\overrightarrow{QM} = \frac{1}{2}\cdot \overrightarrow{PM}[/tex]
[tex]\vec M - \vec Q = \frac{1}{2}\cdot \vec M - \frac{1}{2}\cdot \vec P[/tex]
[tex]\vec Q = \frac{1}{2}\cdot \vec P - \frac{1}{2}\cdot \vec M[/tex]
[tex]\vec Q = \frac{1}{2}\cdot \left(\frac{3}{4}\cdot \vec A + \frac{1}{4}\cdot \vec B\right) -\frac{1}{2}\cdot \left(\frac{1}{2}\cdot \vec A + \frac{1}{2}\cdot \vec B\right)[/tex]
[tex]\vec Q = \frac{1}{8}\cdot \vec A -\frac{1}{8}\cdot \vec B[/tex]
[tex]Q = \frac{1}{8}\cdot a - \frac{1}{8}\cdot b[/tex]
The coordinates of M, P and Q in terms of a and b are [tex]M = \frac{1}{2}\cdot a + \frac{1}{2}\cdot b[/tex], [tex]P = \frac{3}{4}\cdot a + \frac{1}{4}\cdot b[/tex] and [tex]Q = \frac{1}{8}\cdot a - \frac{1}{8}\cdot b[/tex], respectively.
We kindly invite to check this question on midpoints: https://brainly.com/question/4747771
Multiple Choice
Which of the following is a solution to the equation y=3x – 1?
A. (4,1)
B. (2.5)
C. (4,3)
D. (0,-3)
Answer:
B: (2,5)
Step-by-step explanation:
y=3x-1
(5)=3(2)-1
5=6-1
5=5 (correct)
Answer:
hola necesito puntos, solo dejame comentar
Step-by-step explanation:
PLEASE I NEED HELP ON THESE 3 QUESTIONS
(ILL GIVE BRAINLIEST TO THE BEST ANSWER TOO)
In Earth's southern hemisphere, the summer season is from December to March and winter is from June to September. The table shows the highest temperatures recorded at the South Pole for three different months.
Graph model:
South Pole Temperatures
Month Highest temperature (°F)
January 6
June –24
November –2
Each month's highest recorded temperature is plotted on the number line.
Which of these months had the lowest high temperature? (ignore this)
1. Write the three temperatures in order from least to greatest. Explain how you put the numbers in order.
2. Which month had the lowest high temperature?
3. Which month had the highest temperature?
Answer:
1: (-24, -2, 6) 2: June 3:January
Step-by-step explanation:
1: the closer the negatives get to 0 backwards, the higher the temperature is, and after 0 would be even higher.
2: -24 is the most far back from the other two
3: 2 of them are negatives and the other is positive so the positive number would be the highest temp
Answer:
1. -24,-2,6
We order this way as the value of an integer decreases when we go lower below 0
2. The lowest High temperature is in June when the temperature is -24
3. January has the highest temperature because the highest temperature was above 0 which was 6
Hope this helps!
which graph has the domain please help im so confused
Answer:
The third option
Step-by-step explanation:
The domain is saying x is greater than or equal to 2, so the third option fits that description.
Hopefully this helps!
Brainliest please?
Someone help pls I forgot how to do it
(2,4)
Step-by-step explanation:
I'm not sure in the slightest but with the formula I learned I think this is correct
HELPPPPPPP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
89 divided by 4.
4 goes into 80, 20 times with none left over.
4 goes into 9, 2 times with 1 left over.
Answer: 22 1/4
Hope this helps!! :)
REPOST*
I NEED HELP ON THESE THREE QUESTIONS*
The number line compares the numbers –6, 3, and 5.
1. Write an inequality that compares –6 and 3. Justify your inequality using the number line.
2. Write an inequality that compares 3 and 5.
3. Write an inequality that compares –6, 3, and 5.
#1
-6-3-5Hence inequality will be
[tex]\\ \sf\longmapsto -6\leqslant 5[/tex]
#2.
3<5But we need inequality
[tex]\\ \sf\longmapsto 3\leqslant 5[/tex]
#3
The inequality given by
[tex]\\ \sf\longmapsto -6\leqslant 3\leqslant 5[/tex]
Answer:
See belowStep-by-step explanation:
Given numbers:
-6, 3 and 5If we add these onto number line, we'll see them in same order from left to right.
We know the numbers increase from left to right on the number line, so the numbers to the left are smaller than the numbers to the right.
1.
-6 < 3, as -6 is to left from 32.
3 < 5, as 3 is to left from 53.
-6 < 3 < 5, as per above explanationThere is a bag with only milk and dark chocolates.
The probability of randomly choosing a dark chocolate is
7/12
There are 35 dark chocolates in the bag and each is equally likely to be chosen.
Work out how many milk chocolates there must be.
Answer:
25
Step-by-step explanation:
[tex] \frac{7}{5} = \frac{35}{x} [/tex]
cross multiply
[tex]7x = 175[/tex]
Divide
[tex]175 \div 7 = 25[/tex]
pls help me pls pls pls
Answer: I helped you. Troll!
9. Hallar el perímetro del polígono en el plano cartesiano que se proporciona, cuyos vértices son A (-4, -3), B (-1, -5) y C (3,2).*
Describe how to convert a fraction to a decimal without a calculator. Be sure to use complete sentences
3. The equation y = 19x describes the amount of money Jeff earns, where x is the number of hours he works and y is the amount of money he earns.
The table shows the amount of money Carl earns for different numbers of hours worked.
(a) How much money does Jeff earn per hour? Show your work on how you found the constant of proportionality.
(b) How much money does Carl earn per hour? Show your work on how you found the constant of proportionality.
(c) Who earns more per hour? Justify your answer by comparing the two. Please use complete sentences.
(d) Draw a graph that represents Carl’s earnings over time in hours. Remember to label the axes with the real world quantities that x and y represent.
( please add a graph!! )
#1
[tex]\\ \sf\longmapsto y=19x[/tex]
Per hour means x=1[tex]\\ \sf\longmapsto y=19(1)=\$19[/tex]
#2
Carl earns in 3hours=45
He earns per hour=
[tex]\\ \sf\longmapsto \dfrac{45}{3}=15\$[/tex]
#3.
Jeff earns more per hour .
As
19$>15$#4
Graph attached
Write an equation to represent a number increase by 4 is 7.
Answer:
x + 4 = 7
Step-by-step explanation:
Please look at the pic if im wrong please let me and show me where i was incorrect from my math.Thank you.Btw when i was trying to solve the problem I noticed that there was 2 miles left then i didn't know what to do.
Answer:
294
Step-by-step explanation:
divide 84 by 4 to get how many miles they travel per hour, then multiply by 14 hours
Answer:
294
Step-by-step explanation:
first you will multiply 84 by 14 and divide by 4
witch equation represents a direct proportion?
Answer:
y=kx
Step-by-step explanation:
use the slope-intercept form to graph the equation y=7x-4.
20 pts !!!
first, let's break the equation down.
y=7x-4
-4 represents your staring coordinate, or your y-intercept. This is because -4 does not have an x after so you know it is equal to your y value. So you start at (0,-4)
Now all you need to do is the y=7x part.
The 7x represents your slope.
Slope is equal to rise/run or y/x.
So for each coordinate, you go up 7 and to the right 1.
(0,-4)
(1,3)
(2,10)
I hope this helps!
Show all work and express your answers in scientific notation.
2.4 hours = ____________ seconds
Answer:
8640
Step-by-step explanation:
Take 2.4 hours, And 1 hour is 60 minutes, and 1 minute has 60 seconds, so 1 hour has 3600 seconds, Do one more hour and you have 7200 seconds, Now you need to add another .4 hours, .4 hours is equal to 40 minutes, so how many seconds are in 40 minutes? 1440 seconds are in 40 minutes, so add 7200 and 1440 and you get 8640.
Solve this problem. PLEASE HELP!!
9514 1404 393
Answer:
(b) 3 cups
Step-by-step explanation:
One recipe uses 6 oz of orange juice. Multiplying the quantity by 4 means ...
4 · 6 oz = 24 oz
of orange juice is needed. There are 8 oz in 1 cup, so this amount is ...
(24 oz)/(8 oz/cup) = 3 cups
To make quadruple the recipe, 3 cups of orange juice are needed.
2x + 3 = 3x + 2
Please solve this equation
Answer:
[tex]2x + 3 = 3x + 2 \\ collecting \: like \: terms \: \\ 2x - 3x = 2 - 3 \\ 1x = 1 \\ x = \frac{1}{1} \: \: or \: \: x = 1[/tex]
Answer: the answer is 1 or 1 over 1 so x=1
Step-by-step explanation: first thing combine the like terms . Second thing make minus instead of plus . Third thing divide and get the answer .
2x-3x= 2-3
1x=1
×=1/1 or 1
HOPE IT HELPS YOU . PLEASE GIVE BRAINLIEST .THANKS .
Carlos dropped the phone he had received for his birthday and broke the screen. He knows he has to pay for the replacement himself and does some research to find the lowest cost. He is trying to decide between two stores offering different deals on the same-priced phone.
Answer:
????????????????
Step-by-step explanation:
what's the question
ASAPPPPPO due at 11:59pm
Answer:
Part 1 : 22
Part 2 : 34
Step-by-step explanation:
difference of 85 and 45
What is the value of this expression?
6.4−2.4÷0.1
The measures of the angles of a triangle are shown in the figure below. Solve for x.
(3x)°
36
Answer:
Gucci bags of doing a little Bobby I will be a great time to be the way you want to make the day when mother asked for a good idea and we are going on in group the answers the way I can get a good day please find a way for me to be able to get a chance and objectives are a great weekend and write a good time and consideration and I will send you a call from you want to be the first night and write the way I can do you want to be a good idea to get to know you're name num front door and consideration and I will send the way for you to be able a few minutes and consideration and look forward for your
Hansen played an arcade game that cost 25 tokens PER GAME. In six games, Hansen won 0 tokens, 10 tokens, 50 tokens, 0 tokens, 5 tokens, and 10 tokens. What is the change in the number of tokens Hansen has?
Answer:
150-75=75, so a change of -75
Step-by-step explanation:
He spent 150 tokens and only got 75 tokens back
Which statement comparing |−12| and |8| is true?Which statement comparing |−12| and |8| is true?
Answer:
The second one
Step-by-step explanation:
Someone please help me will mark brainliest !
Answer:
0 10
1 20
Step-by-step explanation:
0,0
1,20
2,40
3,50
4 60
pleas help me due soon i will give brianlyest
Answer:
option D is correct
Step-by-step explanation:
option D is correct
as, both 2 and 3 are positive integers and also the 2 integer is going towards negative sign but it lies in positive area so,
-2 is in bracket when bracket will be open it will be in positive sign,
so,
2 + 3 - (-2) is correct ans.
hope this answer helps you dear take care and may u have a great day ahead!.
A car begins from rest and accelerates at a rate of +3.0 m/s^2 for 5.0 seconds.
a. Determine the car's final speed.
b. Calculate the car's average speed during its trip
Answer:
15m/s
Step-by-step explanation:
we know that
v = u + at
= 0+ 3*5
=15m/s
The final speed of a car is 15 m/s.
Given that, a car begins from rest and accelerates at a rate of +3.0 m/s^2 for 5.0 seconds.
What is the speed?The speed formula can be defined as the rate at which an object covers some distance. Speed can be measured as the distance travelled by a body in a given period of time. The SI unit of speed is m/s.
Here, the initial speed = u = 0
Now using v = u + at formula, we get
v = 0+ 3 × 5
=15 m/s
So, final speed is 15 m/s
Average speed is 15 m/s
Therefore, the final speed of a car is 15 m/s.
To learn more about the final speed visit:
https://brainly.com/question/14863785.
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