Answer:
3x +2y =170 ---equation 1
4x +6y =360 ---equation 2
Price of child 's ticket =$30
price of an adult’s ticket =$40
Step-by-step explanation:
Let x represent the price of a child’s ticket in dollars
and y represent the price of an adult’s ticket in dollars
Such that
3 children and 2 adults for the cost of $170 be represented as
3x +2y =170 ---equation 1
4 children and 6 adults for the cost of $360 be represented as
4x +6y =360 ---equation 2
3x +2y =170 ---equation 1
4x +6y =360 ---equation 2
bY Elimination method Multiplying equation 1 by 4 and equation 2 by 3
12x+8y =680---equation 3
12x +18y =1080---equation 4
Subtracting equation 3 from 4
10 y=400
y =400/10
y=40
Puting the value of y=40 in equation 1 to foind x
3x +2y =170
3x+2 x 40= 170
3x+80 =170
3x=170-80
3x=90
x=90/3=30
Price of child 's ticket =$30
price of an adult’s ticket =$40
Reduce to simplest form -9/11 - (-7/4)
Answer:
74 is already in the simplest form. It can be written as 1.75 in decimal form (rounded to 6 decimal places).
Step-by-step explanation:
PLS PLS PLS PLSSSSS HELPPP
Answer:
The regular bottle holds 9 fl oz of sun screen
Step-by-step explanation:
75% of 12 = 9
Please help me.......
Answer:
456 unit I hope it is a right answers
A tree initially measures 40 1/2 feet tall. Over the next 7 1/2 years, it grew to a final height of 57 feet. During those 7 1/2 years, what was the average yearly growth rate of the height of the tree?
Answer:
OK I will dot this after getting 10 followers
Answer:
deez
Step-by-step explanation:
PLEASE HELP!!!!!!!!! I NEED IT
The angle of elevation from a point on the ground to the top of a tower is 18°. The base of the tower is 100 feet from the point on the ground. Find the height of the tower. Round to the nearest tenth of a foot.
Answer:
32.5 feet
Step-by-step explanation:
This situation forms a right triangle. We are given the distance from the base of the tower (long leg of the triangle) and are asked to find the height (short leg of the triangle).
With this information, we can use the tan ratio, opposite over adjacent, to find the height of the tower.
tan 18 = [tex]\frac{x}{100}[/tex]
Multiply each side by 100:
(100) tan 18 = x
Simplify and round to the nearest tenth:
32.49 = x
32.5 = x
So, the height of the tower is approximately 32.5 feet
#2) Which of the following would be considered a financial advantage of renting a
house or apartment?
Renters receive no federal income tax benefits.
Renters do not have the maintenance costs associated with home ownership.
Renters do not build equity on the house they rent.
O None of the above
Renters do not have the maintenance costs associated with home ownership. Therefore, option B is the correct answer.
What is tax?In mathematics, the tax calculation is related to the selling price and income of taxpayers. It is a charge imposed by the government on the citizens for the collection of funds for public welfare and expenditure activities. There are two types of taxes: direct tax and indirect tax.
Both renting and buying have their financial advantages, and owning a home isn’t right for everyone.
Unlike homeowners, renters have no maintenance costs or repair bills and they don't have to pay property taxes.
Amenities that are generally free for renters aren't for homeowners, who have to pay for installation and maintenance.
Renters do not have the maintenance costs associated with home ownership.
Home owners have to pay for all costs & repairs needed.
Therefore, option B is the correct answer.
To learn more about the tax visit:
brainly.com/question/16423331.
#SPJ6
What is the measure of ∠UVW in the triangle shown?
Question 19 options:
A)
140°
B)
50°
C)
60°
D)
10°
Answer:
50°
Step-by-step explanation:
Given that a triangle measures 180°.
∠U =40°
∠W=90°
Sum:130°
180°-130°=50°
Which measurement has the LEAST capacity?
2 gallons
7 quarts
19 pints
30 cups
Answer:
30 cups
Step-by-step explanation:
only equal to 15 pints
Select the correct answer.
Which statement about the function represented by this graph is true?
A. The function has an inverse because it passes the vertical line test.
B. The function does not have an inverse because it never crosses the x-axis
C. The function has an inverse because it passes the horizontal line test.
D. The function does not have an inverse because it does not pass the horizontal line test.
Answer:
your answer will be C. The function has an inverse because it passes the horizontal line test.
bye have a nice day ^_^
C. The function has an inverse because it passes the horizontal line test.
What is function ?A function is a rule or a relation that associates each element of a non-empty set A, to at least a single element of another non-empty set B.
The relation f from a domain set to co-domain set is called function.
Example : f = {(x, y) | for all x∈X & y∈Y}
A relation becomes function when every element of domain has one and only one image in co-domain.
What is inverse of function ?If f is a function which is one-one as well as on-to, i.e, if the function is bijective, then the inverse of this function exists and the inverse is then denoted by [tex]f^{-1\\}[/tex]
Inverse function of a function always undoes the operations of the function f.
f(a) = b if and only if f⁻¹ (b) = a , where a is from domain & b is from co-domain set.
Which is the correct option ?From the above descriptions, we can see that, since the function passes through the horizontal line, so it has an inverse.
Hence the option C is the correct one.
C. The function has an inverse because it passes the horizontal line test.
Learn more about inverse function here :
https://brainly.com/question/11735394
#SPJ2
A watch seller gained 20% by selling a watch for rs 1260.is) What was its cost price.ii)If he had to gain 30%,at what price should have sold it
Step-by-step explanation:
A watch seller gained 20% by selling a watch for 1260.If he had to gain 30%,at what price should have he sold it?
Dalton III
Answered December 12, 2020
I shall explain the solution to this problem using rudimentary concepts.
First, we need to determine the original price of the watch.
Convert the percentage profit to a decimal by dividing by 100. In this problem, the profit is 20%, so we would divide:
20100=0.2
Add 1 to the profit expressed as a decimal.
1+0.2=1.2
Divide the price after the profit has been added by the figure which we have calculated to find the price before the profit (we shall assume that the currency used in this problem is the pound sterling)
£12601.2=£1050
Now that we have determined the original price of the watch, we shall determine at what price should the seller sell this watch in order to obtain a 30% gain. The same formula is used for the first two steps.
Convert the intended percentage profit to a decimal by dividing by 100. In this problem, the intended profit is 30%, so we would divide:
30100=0.3
Add 1 to the intended profit expressed as a decimal.
1+0.3=1.3
Now, instead of dividing, we would want to multiply the original price with the figure 1.3
£1050⋅1.3=£1365
So, in order to gain a profit of 30%, the watch seller should sell the watch at a price of £1365
( 3/4 ÷ 3/100 −23 1/2 )÷1 1/2 · 2/3 +1 1/6
Answer:
-7333/4400
Step-by-step explanation:
Patrick will borrow $4300 at 11.5% APR. He will pay it back over 5 years.
What will his monthly payment be? (Use the table.)
$94.56
$96.79
$123.21
$141.81
Answer:
94.56
Step-by-step explanation:
because 94,56 x 11.5 x 5 =4300
Answer:
Step-by-step explanation:
Equal installments can be found by
I=P((r-1)/(r^n-1)+(r-1)) (note monthly rate is r/12, r is about 1.00958)
I=4300((1.00958-1)/(1.00958^60-1)+0.00958)
I=$94.56
Can I have help with number 5
Answer:
1
Step-by-step explanation:
2a-21 / b
2(4)-21/3
8-7=1
Answer:
1
Step-by-step explanation:
(FIRST THING FIRST REMEMBER PEMDAS)
First you rewrite the number sentence with the clues you got.
2 x 4 - 21 / 3
Then you do 2x4 to get 8, then you rewrite the # sentence again
8 - 21 / 3
Next you divide 21 / 3 to get 7 and rewrite the sentence again
8-7
FINALLY you subtract 8-7 to get 1
Free Brainliest
ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ
ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ
ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ
ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ
ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ
ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ
ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ
ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ
ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ
ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ
A box in the shape of a rectangular prism has the dimensions shown. What is the length of the interior diagonal of the box? Round to the nearest tenth. Enter your answer in the box.
A rectangular prism 60 centimeters wide, 80 centimeters long, and 100 centimeters tall.
Copper costs £5 per kilogram.
Zinc costs £3.20 per kilogram.
Copper and zinc are mixed in the ratio 4:1 to make brass.
Work out the cost of 7 kilograms of brass
Answer:
4x(5)+1×(3.20)= 20+3.20=23.20
Step-by-step explanation:
The cost of 7kg of brass is £32.48.
What is ratio?
A ratio is a comparison of two or more numbers that indicates their sizes in relation to each other.
According to the given question.
Cost of one kg of copper = £5
Cost of one kg of zinc = £3.20
Also, copper and zinc are mixed in the ratio 4:1.
Let the quantity of copper be 4x and the quantity of zinc 1x.
Weight of brass = 7kg
⇒ 4x + 1x = 7
⇒ 5x = 7
⇒ x = [tex]\frac{7}{5}[/tex]
⇒ x = 1.4
Weight of copper, 4x = (1.4)(4) = 5.6kg
Weight of zinc, 1x = (1) ×(1.4) = 1.4kg
Therefore,
The cost of 7kg of brass
= (5.6)×(£5) + (1.4)(£3.20)
= 28 + 4.48
= £ 32.48
Therefore, the cost of 7kg of brass is £32.48
Find out more information about ratio here:
https://brainly.com/question/13419413
#SPJ2
One month Maya rented 2 movies and 3 video games for a total of $20. The next month she rented 6 movies and 5 video games for a total of $38. Find the
rental cost for each movie and each video game.
Rental cost for each movie:
Rental cost for each video game:
Answer:
[tex]M = 1.75[/tex] --- Movies
[tex]V = 5.5[/tex] --- Video games
Step-by-step explanation:
Represent the movies with M and the video games with V.
The first month, the expression is:
[tex]2M + 3V = 20[/tex]
The next month, the expression is:
[tex]6M + 5V = 38[/tex]
Required
Find M and V
We have:
[tex]2M + 3V = 20[/tex] --- (1)
[tex]6M + 5V = 38[/tex] --- (2)
Multiply (1) by 3.
3 * [tex]2M + 3V = 20[/tex]
[tex]6M + 9V = 60[/tex] --- (3)
Subtract (1) from (3)
[tex]6M + 9V = 60[/tex]
- [tex]6M + 5V = 38[/tex]
-------------------------
[tex]6M - 6M + 9V - 5V = 60 -38[/tex]
[tex]4V = 22[/tex]
Divide by 4
[tex]V = 5.5[/tex]
Substitute 5.5 for V in (1)
[tex]2M + 3V = 20[/tex]
[tex]2M + 3 * 5,5 = 20[/tex]
[tex]2M + 16.5= 20[/tex]
Subtract 16.5 from both sides
[tex]2M = 3.5[/tex]
Divide by 2
[tex]M = 1.75[/tex]
Choose the linear Inequality that describes the graph. The gray area represents the shaded region.
Answer:
3
Step-by-step explanation:
the y axis
A triangle has sides with lengths 8, 15, and 17.
1. Verify this is a Pythagorean Triple
2. Approximate the acute angles in this triangle
Yes, the given set of the sides of a triangle follows the Pythagorean Triple and the acute angles are 61.92° and 28.08°.
What is the Pythagorean Triple?Pythagorean triples are a²+b² = c² where a, b and c are the three positive integers. These triples are represented as (a, b, c). Here, a is the perpendicular, b is the base and c is the hypotenuse of the right-angled triangle.
Given that, A triangle has sides with lengths 8, 15, and 17.
1) Checking for Pythagorean triples;
17² = 289
8²+15² = 225+64 = 289 = 17²
∴ 17² = 8²+15²
Since, they are following the Pythagoras theorem so, they are Pythagorean triples.
2) Calculating the acute angles:- [please refer to attached figure]
Let 15 be the perpendicular, 8 be the base and 17 is the hypotenuse,
sinC = 15/17 (sine of an angle is ratio of perpendicular to hypotenuse)
∠ C = sin⁻¹(15/17)
∠ C = 61.92°
∠ A = 90°-61.92°
∠ A = 28.08°
Hence, the given set of the sides of a triangle follows the Pythagorean Triple and the acute angles are 61.92° and 28.08°.
For more references on Pythagorean Triple, click;
https://brainly.com/question/15190643
#SPJ5
by what percent would a number change if it increased by 5% and the result was also increased by 5%
Answer:
10.25%
Step-by-step explanation:
imagine the number is 100. Increase that by 5% so multiply 100 by 105%. This equals 105. Then increase 105 by 5% so multiply 105 by 105%. This equals 110.25. The original number was 100 so 110.25-100= 10.25. 10.25/100= 10.25%
Hope this is correct :) I'm rly not sure now
Answer:
10%
Step-by-step explanation:
Does anyone know what 0.4 divided by 2.4 is? I think it’s 0.6 or 6 not for sure tho!
Answer:
0.16 I think............
Answer:
0.16666666666
IN 2013 The number of students in a small school is 284. it is estimated that the student population will increase by 4% every year. write formula for student population and estimate student population in 2020
Answer:
Amount = Initial value × (1 + rate of interest)^years and 374
Step-by-step explanation:
The formula to determine the student population and the estimated student population is given below:
As we know that
Amount = Initial value × (1 + rate of interest)^years
= 284 × (1 + 0.04)^7
= 284 × 1.04^7
= 373.72
= 374
Nevaeh invested $1,200 in an account paying an interest rate of 2% compounded
quarterly. Paisley invested $1,200 in an account paying an interest rate of 2 %
compounded continuously. To the nearest dollar, how much money would Nevaeh
have in her account when Paisley's money has tripled in value?
Answer:3980
Step-by-step explanation:
HELP
Find the mean, median, mode, and range of the following data set.
15, 12, 19, 15, 16, 13, 15.
Mean:
Median:
Mode:
Range
Suppose you fill the cone with water and empty the water into the cylinder. How many times will you empty the water from the cone into the cylinder.
A.3 TIMES B.6 TIMES C.9 TIMES
Answer:
I believe around 3 times
Step-by-step explanation:
Because if we round we would get
150÷50=3
Hope this helps!!
PLEASE HELP ME :’)
determine the value of X
Answer:
x = 26degrees
Step-by-step explanation:
The sum of all angles in any triangle is 180degrees. The given figure is a triangle, therefore, one can apply this property to the given triangle. Form an equation using this given information,
(2x) + (3x) + (50) = 180
Simplify,
5x + 50 = 180
Inverse operations,
5x + 50 = 180
-50 -50
5x = 130
/5 /5
x = 26
Find the number that belongs
in the green box.
322
7
125°
[?]
Round your answer to the nearest tenth.
Answer:
2.7
Step-by-step explanation:
322/7=46
46*125=2.71739
round off
2.7
Which two types of lines only meet inside the triangle?
Answer:
angle bisectors and opposite side perpendiculars
Step-by-step explanation:
If the length of a rectangle is decreased by 6 cm and the width is increased by 3 cm, the result will be a square, the area of which will be 27 cm^2 smaller than the area of the rectangle. Find the area of the rectangle. PLZZZZZZ HELP WILL MAKE BRAINLIEST!!!
Answer:
Step-by-step explanation:
L-6=W+3
L=W+9
LW-(L-6)(W+3)=27, using L from above makes this
W(W+9)-(W+9-6)(W+3)=27
W^2+9W-(W+3)(W+3)=27
W^2+9W-W^2-6W-9=27
3W-9=27
3W=36
W=12, since L=W+9
L=12+9=21
A=LW
A=21(12)
A=252 cm^2
The area of the rectangle is 252 cm^2.
Calculation of the area of the rectangle:Since
If the length of a rectangle is decreased by 6 cm and the width is increased by 3 cm.
So it can be like
L-6=W+3
L=W+9
Now
LW-(L-6)(W+3)=27
So,
W(W+9)-(W+9-6)(W+3)=27
W^2+9W-(W+3)(W+3)=27
W^2+9W-W^2-6W-9=27
3W-9=27
3W=36
Also,
W=12, since L=W+9
L=12+9=21
So,
A=LW
A=21(12)
A=252 cm^2
learn more about an area here: https://brainly.com/question/24545771
help the question is
"Which expression represents the area, in square feet, of the recreation room in terms of x?"
Answer:
vebjsjjssjvtjkskskkskskkkk
Step-by-step explanation:
yzuduudjizjdayayay ayayay ayayay
find the value of x
a. 31
b. 46
c. 52
d. 107