Answer: i. Cost of adult ticket = $ 30
ii. Cost of child ticket = $20
Step-by-step explanation:
Define variables:
Let x= cost of 1 adult tickets , y= cost of 1 child tickets.
Form linear equations:
5x+3y = 210 (i)
2x+5y= 160 (ii)
Multiply (i) by 2 and (ii) by 5
10x +6y = 420 (iii)
10x+25y = 800 (iv)
Eliminate (iii) from (iv)
19y = 380
⇒ y= 20
Put this in (i)
[tex]5x+3(20)=210\Rightarrow\ 5x+60 = 210\\\\\Rightarrow\ 5x=150\\\\\Rightarrow\ x=30[/tex]
Hence, Cost of adult ticket = $ 30 and Cost of child ticket = $20
Solve the following inequalities and sketch a
graph of each solution.
a 7 - 2x 54
b 4r + 16x - 8
c-3x + 5 > 0
Answer:
Step-by-step explanation:
A= - 101
B = 4( r + 4x - 2 )
C = x < 5/3
I hope this helps. Best of luck.
record the letters in your triangle from left to right example ABCDEFGHI
Answer:
ABYARCIST
Step-by-step explanation: like that hope i did it right
Triangle is a polygon with 3 sides. The record of the letters in your triangle from left to right is EGFBIHDCA.
What is a triangle?A triangle is a polygon with 3 sides. Also, It has three vertices.
As the example is given to us, ABCDEFGHI is the record of the letters that are when seen from top to bottom, therefore, if we rotate the triangle such that the left side of the triangle is on the upper side, then the triangle we will get is given below.
Thus, the record of the letters in your triangle from left to right is EGFBIHDCA.
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Hi can i pls get some help oh this question pls
its 5x - 2 = -7
Answer:
x= -1
Step-by-step explanation:
5x1 would be -5 then -5 - 2 would be -7
Answer:
x = -1
Step-by-step explanation:
The key thing to remember is that every operation you do on either side needs to be done on the other.
Let's start by getting rid of that -2 you can do that by adding 2 to both sides of the equals sign:
5x - 2 = -7
5x - 2 + 2 = -7 + 2
5x - 0 = -5
5x = -5
The next step is to get rid of that 5 on the left. We can do that by dividing both sides by 5:
5x = -5
5x ÷ 5 = -5 ÷ 5
x = -1
And there you have it! x is equal to negative one.
11. Sara borrowed *60,000 from a money lender at 15% rate of interest per annum. What is
the interest she paid after 4 years?
Answer:
36000
Step-by-step explanation:
Given the following
Principal = 60,000
Rate = 15%
Time = 4years
Using the simple interest formula
SI = PRT/100
SI = 60000*15*4/100
SI = 600 * 60
SI = 36,000
Hence the interest paid after 4 years is 36000
help appreciated.
How many hours of training would you need to have a salary of $2,000?
Answer: you will have 56
Step-by-step explanation:
Answer:
100 hours
Step-by-step explanation:
Because 18 would be 1800 and then 19 would be 1900 and then 100 would be 2000
At 3pm the outside Temperature was 4°F . The Temperature then fell steadily by 2°F every hour for the next four hours . What was the temperature at 7 PM
Answer:
Step-by-step explanation:
Temperature at 3pm: 4° F
After the decrease in temperature per hour by 2°F
Temperature at 4pm: 2°F
Temperature at 5pm: 0°F
Temperature at 6pm: -2°F
Temperature at 7pm:-4°F
Hence we can say that the temperature at 7pm is -4°F
Write these amounts as ratios in the simplest form
75 cm to 1.5 m (c)
Step-by-step explanation:
75 cm =0.75 m
0.75/1.5=0.5
0.5=5/10=1/2
1:2
Answer:
ratio 1 to 2
Step-by-step explanation:
first convert 75cm to m
which is equal to 0.75m
0.75/1.5 =1 /2
the answer is 1 to 2
I need help with this question
Answer:
The scale factor is 1 to 3
Step-by-step explanation:
Here, we want to determine the dilation scale
As we can see we have a dilation of 9 to 27
The ratio here will be;
9 to 27
which is 1 to 3
Need help ??????????????
Answer: the answer is the first one ,the third one , and the fourth
Step-by-step explanation:5x5 25
15x15 225
Order from least to greatest 5; -2; -10; -1
PLEASE ANSWER THISSS!!!!
Write the following as an expression: One-fourth the difference between 2/3 and
1/2 *
Answer: 1/4-(2/3+1/2)
Step-1/4-by-step explanation:
Toni rows a boat 4.5 km/h upstream and then turns around and rows 5.5 km/h back downstream to her starting point. If her total rowing time is 48 min, for how long does she row upstream? Express your answer to the nearest minute.
A. about 30 min
B. about 26 min
C. about 44 min
D. about 24 min
Answer:
b
Step-by-step explanation:
can someone pls help!!!
3n+4=10
answer= n=2
c+2=18
Sebastian bought snacks for his team': practice. He bought a bag of popcorn for $1.68 and a 15-pack of juice bottles. The total cost before tax was $21.78. Write and solve an equation which can be used to determine x, how much each bottle of juice costs?
Answer:
Each bottle of juice costs $1.34.
Step-by-step explanation:
From the information given, the equation would indicate that the total cost is equal to the price per bag of popcorn for the number of bags plus the price per pack of juice bottles for the number of packs.
Total cost=(1.68*1)+15x
Total cost=1.68+15x
Now, you can replace the total cost with $21.78 and solve for x:
21.78=1.68+15x
21.78-1.68=15x
20.1=15x
x=20.1/15
x=1.34
According to this, the answer is that each bottle of juice costs $1.34.
Answer: $1.25
Step-by-step explanation:
Find the slope of the line (-2,0) (2,3)
Answer:
3/4
Step-by-step explanation:
y = {3/4} x + 1.5
The slope of the line passing through the points (-2, 0) and (2, 3) is 3/4.
What is the slope?The slope is the rate of change of the y-axis with respect to the x-axis.
The equation of a line in slope-intercept form is y = mx + b, where
slope = m and y-intercept = b.
We know the greater the absolute value of a slope is the more steeper is it's graph or rate of change is large.
We know slope(m) = (y₂ - y₁)/(x₂ - x₁).
∴ Slope of the line with points (-2, 0) and (2, 3) is,
Slope(m) = (3 - 0)/(2 + 2) = 3/4.
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Evaluate the power.
0.4 2=____
Answer:
0.2
Step-by-step explanation:
Answer:
0.16
Step-by-step explanation:
What is 7/2 divided by 5/4
Answer:
14/5
Step-by-step explanation:
7/2÷5/4
7/2×5/4
7×4/2×5
28/2×5
28/10
14/5
Answer:
Step-by-step explanation:
[tex]7/2/5/4[/tex]
This could be written as
[tex]7/2 (4/5)[/tex]
Multiply these answers
28/10 = 2.8
Can anyone help me please?
Answer:
A' (-6, 4)
B' (2, 2)
C' (-2, -2)
Step-by-step explanation:
Multiply each number by 2.
Match each expression with its value.
15 ÷12
12 ÷ (-15)
12 ÷ 15
15 ÷ (-12)
-0.8
0.8
-1.25
1.25
solve for x 2|x|+5=11
Answer:
Solve for x over the real numbers:
abs(x) = 3
Hint: | Eliminate the absolute value.
Split the equation into two possible cases:
Answer: x = 3 or x = -3
Step-by-step explanation:
PLEASE HELP!
Priya is with her mother at the zoo’s gorilla exhibit. Priya is studying the chart displayed beside the gorilla exhibit, which shows the name and weight of each gorilla. Use the information in the chart to answer the questions in this activity.
Gorilla Weight Plugged into True or False?
5a + 8 = 318
(pounds)
Sophia 318
George 417
Nancy 310
Hank 136
Paula 62
Gavin 24
Part A
Priya’s favorite gorillas are a mother named Sophia and her baby. The zoo attendant said that Sophia weighs 8 pounds more than 5 times her baby’s weight. To determine the baby gorilla’s weight, Priya can use the equation 5a + 8 = 318, where a is the weight of the baby gorilla. Plug the weight of each gorilla into the equation to check which value makes the equation true.
Answer :
The value that makes the equation true is Paula 62
Step-by-step explanation:
Here, we want to plug the weight of each of the Gorilla to determine the weight that makes the equation true
all we have to do here is that in each of the cases, we substitute the value of a for the weight of each of the Gorilla
Sophia
a = 318
5a + 8
= 5(318) + 8
as we can see this is not equal to 318
George
For George, we substitute a for 417
That will be;
5(417) + 8
This is not 318
for Nancy
5(310) + 8
This is not equal to 318
for Hank
we have a as 136
5(136) + 8
This is not equal to 136
for Paula
5(62) + 8
= 310 + 8 = 318
we can see this is correct
for Gavin,
5(24) + 8
= 128 which is not equal to 318
The only equal value is that of Paula which is our answer
Answer:
Gorilla Weight
(pounds) Plugged into
5a + 8 = 318 True or False?
George 417
5(417) + 8 = 318
2,093 = 318
false
Nancy 310
5(310) + 8 = 318
1,558 = 318
false
Hank 136
5(136) + 8 = 318
688 = 318
false
Paula 62
5(62) + 8 = 318
318 = 318
true
Gavin 24
5(24) + 8 = 318
128 = 318
false
Step-by-step explanation:
please help me, i have to turn this in in 10 mins & i need the answer
Answer:
the first one
Step-by-step explanation:
...........
A number minus twice another number is 4. Three times the first number plus two times the second number is 12. What are the numbers?
Answer:
4 and 0
Step-by-step explanation:
I hope this helps
The first number is 4 and the second number is 4.
What is the system of equation?One or many equations having the same number of unknowns that can be solved simultaneously called as simultaneous equation. And simultaneous equation is the system of equation.
Given:
A number minus twice another number is 4.
Three times the first number plus two times the second number is 12.
Let numbers are n and m.
According to the question;
n- 2m = 4 equation 1
3n + 2m = 12 equation 2
Now, we have the system of equation.
To solve the equation,
Add both of the equation,
4n = 16
n = 4
Then m = 0
Therefore, 0 and 4 are the numbers.
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help me please !!!!!!!
Answer:
B
Step-by-step explanation:
Don't worry I just know, give me Brainliest
Can someone help me please?
Answer:
it A ;)
Step-by-step explanation:
Find the sum of all multiples of 9 between 1 and 5000.
Answer:
multiples of 3 are 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45 . ... The multiples of numbers calculator will find 100 multiples of a positive ... Here is a list of the first 20 multiples of the integers 1 through 20.
Step-by-step explanation:
The perimeter of a rectangle is 42 inches. If the width of the rectangle is 6 inches, what is the length?
reminder: perimeter is distance around an object- length + width + length + width
12 inches
15 inches
21 inches
40 inches
Answer:
15 inches
Step-by-step explanation:
42 = 2L + 2(6)
first, we need to isolate L.
solve 2(6) to make this easier
42 = 2L + 12
42 - 12 = 2L + 12 - 12 ( this cancels out 12. )
30 = 2L
30 ÷ 2 = 2L ÷ 2 ( this cancels out 2. )
15 = L
Pythagorean Theorem-Finding the Hypotenuse
Calculate the missing side measurements using a2+b2=c2
If you could help I would really appreciate it, but if not that’s fine. Thank you.
You can buy 20 fluid ounces of shampoo for $4.40 or, you can buy 24 fluid ounces for $4.80 which is the better buy? Please answer in complete sentences and i will give brainliest with most detail please don answer for points i will delete your answer
Answer: the 20 fluid ounces is better
Step-by-step explanation:
If you divide 20 by 4.40 that is 4.54 but if you divide 24 by 4.80 that is 5. You want to divide 20 by 4.40 because 20 is the fluid ounces and 4.40 is the money divide that to get the cost per fluid ounce then you do the same with the 24 fluid ounces and by doing that you get the sot for 1 fluid ounce then look at both of your answers and see which one is less. which one is less is the better one.