Answer:
52 tickets cost $10 and 18 tickets cost $12
Step-by-step explanation:
10x+12y=804. (1)
x+y=70. (2)
From (2)
x=70-y
Substitute x=70-y into (1)
10x+12y=804
10(70-y)+12y=804
700-10y+12y=804
700+2y=804
2y=804-700
2y=104
y=104/2
y=52
Recall
x+y=70
x+52=70
x=70-52
x=18
52 tickets cost $10 and 18 tickets cost $12
By solving a system of equations we will see that the correct option is A.
How to write and solve a system of equations?
First, let's define the variables:
x = number of $10 tickets sold.y = number of $12 tickets sold.First, we know that 70 tickets were sold, so:
x + y = 70
And we know that they reached $804, then we have:
x*$10 + y*$12 = $804
Then our system is:
x + y = 70
x*$10 + y*$12 = $804
To solve this, we first need to isolate one of the variables in one of the equations, I will isolate x on the first equation:
x = 70 - y
Now we can replace that in the other equation to get:
(70 - y)*$10 + y*$12 = $804
$700 - y*$10 + y*$12 = $804
$700 + y*$2 = $804
y*$2 = $804 - $700 = $104
y = $104/$2 = 52
So, 52 $12 tickets were sold, then the other 18 tickets were $12, so the correct option is A.
If you want to learn more about systems of equations, you can read:
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Krista was assigned a homework problem that stated there were 45 stamps purchased for $18.75. Some stamps were 40 cents, and some stamps were 55 cents. To solve this problem, she wrote the system of equations that is shown below. 0.40 x + y = 45. x + 0.55 y = 18.75. Which explains the error that Krista made? Krista put 0.40 in the first equation meant for the number of stamps. Krista put 0.55 in the second equation meant for the value of stamps. Krista did not use the correct decimal to represent the total cost of the stamps. Krista mistakenly put 45 in the first equation when it should have been in the second equation.
PLEASE HURRY I REALLY NEED HELP WILL GIVE BRAINLIEST
Answer: Krista put 0.40 in the first equation meant for the number of stamps
Step-by-step explanation: From the information available to Krista, she can determine the number of stamps that cost 40 cents and those that cost 55 cents. What she needs is a system of simultaneous equations both of which would use the total number of stamps and the total cost of stamps to determine the how many stamps cost 40 cents and how many costs 55 cents.
The system of equations should have been,
x + y = 45 ----------(1)
0.40x + 0.55y = 18.75 ----------(2)
From equation (1), let x be the subject of the equation and hence x = 45 - y
Substitute for the value of x into equation (2)
0.40(45 - y) + 0.55y = 18.75
18 - 0.40y + 0.55y = 18.75
Collect like terms and you now have
0.55y - 0.40y = 18.75 - 18
0.15y = 0.75
Divide both sides of the equation by 0.15
y = 5
When y has been calculated as 5, substitute for the value of y into equation (1)
x + y = 45
x + 5 = 45
x = 45 - 5
x = 40
The results show that the stamps that cost 0.40 cents (x) were 40 in number while those that cost 0.55 cents (y) were 5 in number.
This answer could not have been derived due to the mistake Krista committed when writing the equations.
Answer:
a
Step-by-step explanation:
Please help with this question
Answer:
the SSS similarity theorem
Step-by-step explanation:
The triangles are not indicated as being right triangles (even though we know they are), so we cannot use the HL theorem.
The ratios of corresponding sides are the same, so the applicable theorem is ...
the SSS similarity theorem
__
3/(3+6) = 4/(4+8) = 5/15 = 1/3 . . . the ratio of shorter sides to corresponding longer sides.
_____
Additional comment
You recognize the smaller triangle as a 3-4-5 right triangle, and notice that the larger triangle is 3 times that size. If angle C were marked as the right angle it is, then the HL similarity theorem could also be used.
A building engineer analyzes a concrete column with a circular cross section. The circumference of the column is 18 \pi18π18, pi meters. What is the area AAA of the cross section of the column? Give your answer in terms of pi. A =A=A, equals \text{ m}^2 m 2 start text, space, m, end text, squared
Answer:
[tex]A=81\pi $ m^2[/tex]
Step-by-step explanation:
Circumference of the column [tex]=18\pi $ meters[/tex]
Circumference of a circle[tex]=2\pi r[/tex]
Therefore:
[tex]2\pi r =18\pi $ meters\\2r=18\\r=18 \div 2\\$Radius, r=9 meters[/tex]
Area of a Circle [tex]=\pi r^2[/tex]
Since radius of the cross section of the column =9 meters
Area of the cross section of the column
[tex]=\pi *9^2\\=81\pi $ m^2[/tex]
Answer:
81pi
Step-by-step explanation:
write 47 and 1000 as a decimal
Answer:
47=4.7
1000= 100.0
Calculate the surface area of each polyhedron. Pls!! Show work
Answer:
Step-by-step explanation:
Triangle: bh/2 = 8*9/2 = 36 cm²
bottom square: 8*8 = 64 cm²
total surface area: 36*4 + 64 = 208 cm²
I would really appreciate if someone help me I need help please help me thank you it’s geometry
Answer:
< 3 and < 5
Step-by-step explanation:
Others are not
Carlos and his brother each made 72 cookies for the church bake sale. They sold the same amount of cookies each day over a three day period. Between the two of them how many cookies did the boys sell each day? A. 24 B. 48 C. 72 D. 144
Answer:
the answer is 144
Step-by-step explanation:
just add 72+72=144
The estimated probability of a football player scoring a touchdown during a particular game is 39%. Of several simulations of the foot ball player playing two games were performed, in what percentage of the simulations would the football player be most likely to get a touchdown in each of the two games?
Answer:
The percentage of the simulations of two games that the football player would most likely get a touchdown in each of the two games = 15.21%
Step-by-step explanation:
The probability of scoring a touchdown in one game for the football player = 39% = 0.39
Probability of scoring a touchdown in each of the two consecutive games = (Probability of scoring a touchdown in the first game) × (Probability of scoring a touchdown in the second game)
Since the probability of scoring a touchdown in each game the football player plays in is independent of one another.
Probability of scoring a touchdown in the first game = Probability of scoring a touchdown in the second game = 0.39
Probability of scoring a touchdown in each of the two consecutive games = 0.39 × 0.39 = 0.1521
If 100 simulations of the two games are made, the player scores in each of the two games in 15.21 of them, hence, the percentage of the simulations that the football player would most likely get a touchdown in each of the two games = 15.21%
Hope this Helps!!
How do you put 0.02 in scientific notation
Answer:
2 x 10^-2
Step-by-step explanation:
0.02 equals to 2/100
therefore 0.02= 2/102 (remember this is negative)
= 2x10^-2 (therefore -2)
The solution to the number 0.02 in scientific notation is 2 * 10⁻²
How to express the number 0.02 in scientific notationFrom the question, we have the following parameters that can be used in our computation:
Number = 0.02
Multiply the number by 1
So, we have
Number = 0.02 * 1
Express 1 as 100/100
So, we have the following representation
Number = 0.02 * 100/100
Next, we have
Number = 2 * 1/100
Express 1/100 as 10⁻²
So, we have
Number = 2 * 10⁻²
Hence, the solution is 2 * 10⁻²
Read more about scientific notation at
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Pls help with this (im not trying to be annoying)
Which angle measures approximately 152°?
Answer:
The answer is YZC, so the third option
Step-by-step explanation:
The explanation for this one is fairly simple, as the lines are already drawn out for you!
The line labeled C lines up with 152 on the protractor, and after connecting that to the base point Z in the middle and then the base line of Y, you get YZC
Hopefully I helped you!
Answer:
yzc
Step-by-step explanation:
i took the test and got it right
Simplify the following (7)(-6).
Answer:
-42
Step-by-step explanation:
7 x -6 = 42
If 153 = 2 (z +z)n, then what is the value of 4nz + 20
Answer:
The value of 4 n z + 20 = 173
Step-by-step explanation:
Explanation:-
Given 153 = 2 (z +z )n
2 ( z + z) n = 153
2 ( 2 z ) n = 153
4 z n = 153
Adding '20' on both sides , we get
4 z n + 20 = 153 + 20
4 z n + 20 = 173
Final answer:-
The value of 4 n z + 20 = 173
A mother duck lines her 5 ducklings up behind her. In how many ways can the ducklings line up?
Answer
Answer:
120
Step-by-step explanation:
There are 5 choices for the first duckling, 4 for the second, 3 for the third, 2 for the fourth and 1 for the fifth meaning that the answer is 5 * 4 * 3 * 2 * 1 = 5! = 120.
Karla empleo 6kg de manzanas para elaborar 90 bocadillos mas ¿Cuantos Kilogramos de manzanas necesitara? ¿ cuantos bocadillos podria hacer con 12kg de manzanas?
Answer:
12kg apple will make 189 more sandwiches
Step-by-step explanation:
Here, we are told that 6kg of apple was used to make 90 more sandwiches and we need to know the number of sandwiches that can be made from 12kg of apples.
Now;
6kg made 90 sandwiches
12kg will make x sandwiches
To get x, we simply cross multiply
6 * x = 12 * 90
x = (12 * 90)/6
x = 2 * 90
x = 180 sandwiches
PLZ HLP MEEEEEEEEEEEEEE
Answer:
D
Step-by-step explanation:
The total number of students is 15+12= 27
The ratio of girls to total students is 12/27 = 4/9
Solve the system of equations. –6x + y = –21 2x − 1 3 y = 7 What is the solution to the system of equations? (3, 3) (2, –9) infinitely many solutions no solutions
Answer:
[tex]y = - 15 \\ x = - 94[/tex]
Step-by-step explanation:
it's not both of dem
The solution to the system of equations is x= −133/ 40 and y= −21/ 20
What is a system of equations?A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.
A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one.
6x+ y= -21 is equation (1)
2x - 13y= 7 is equation (2)
Solve 6x+y=−21 for y:
6x+y=−21
6x+y+−6x=−21+−6x
y=−6x−21
Substitute −6x−21 for y in 2x−13y=7:
2x−13y=7
2x−13(−6x−21)=7
80x+273=7
Now Simplify both sides of the equation;
80x+273+−273=7+−273
Add -273 to both sides
80x=−266
x= −133/ 40
y=−6x−21
y=−6( −133 /40 )−21
y= −21/ 20
Hence x= −133/ 40 and y= −21/ 20
learn more about system of equations here;
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I will give you brainliest!!!! Which statement is true about the values x=3 and y=-1 ?
Answer:
D
Step-by-step explanation:
What is X...……………………….
Answer:
x=6
Step-by-step explanation:
You can reach this answer by doing the equation
4+(x-3) = 2x-5
doing the math you will get that 6 is your x.
Hope this helps :)
x-2>2x+12
solve for x
Answer:
-14 >x
Step-by-step explanation:
x-2>2x+12
Subtract x from each side
x-2-x > 2x+12-x
-2 > x+12
Subtract 12 from each side
-2-12 > x
-14 >x
Can someone plz help me I really need it ASAP help me with this problem !
Answer:
-6x
check the attachment i provided
Step-by-step explanation:
[tex]-5x-x\\\mathrm{Add\:similar\:elements:}\:-5x-x=-6x\\=-6x[/tex]
Answer:
-6x
Step-by-step explanation:
All you have to do is subtract the constants, because the variable is going to be there always
express in the form 1:n 5:15
Answer: n = 3
Step-by-step explanation:
You could treat these two ratios as fractions
[tex]\frac{1}{n} =\frac{5}{15}[/tex]
There are multiple ways in which you can do this, but Im going to teach you the most reliable way. Do cross multiplication by multiplying each side by the others denominators. 15 x 1 and n x 5 to get:
5n = 15
Divide each side by 5 to get n = 3
Anna is following this recipe to make biscuits.
Anna uses 550 g of sugar.
How many grams of oats will she need?
Recipe: Makes 24 biscuits
125 g margarine
100 ml syrup
275 g oats
110 g sugar
55 g chocolate
Answer:
Anna will need 1375 g of oats
Please help with this
Answer:
bruh
Step-by-step explanation:
Which describes the intersection of line M and line N
Answer: A point
Step-by-step explanation:
To find the point of intersection algebraically, solve each equation for y, set the two expressions for y equal to each other, solve for x, and plug the value of x into either of the original equations to find the corresponding y-value. The values of x and y are the x- and y-values of the point of intersection.
Pls help me ASAP! Thanks a lot!
Answer:
E) 32
Step-by-step explanation:
Square sheet of paper is folded 4 times into half.
Holes in the paper = 2(4)(4)
= 32 Holes
P.S. Also did it practically
Identifying the Independent and Dependent Variable
The cost to rent a moving truck is a flat fee of $25 plus $0.60 per mile. The equation c = 25 + 0.6m models the cost, c.
in dollars for the number of miles, m, traveled in the truck.
Identify the independent and dependent variables.
The
v is the independent variable.
The
is the dependent variable.
Answer:
The number of miles traveled is the independent variable.
The amount of money spent is the dependent variable.
Step-by-step explanation:
They keyword here is "per". You are spending .6 dollars for every mile traveled
Answer:
C = dependent
M = independent
Step-by-step explanation:
Hopefully this helps you :)
pls mark brainlest. ;)
Simplify the following fraction: 400/4400
Answer: 1/11 is the simplified form...
Hope this helps, stay safe :D
Answer:
1/11
Step-by-step explanation:
divide top and bottom by 100 = 4/44
divide top and bottom by 4 = 1/11
8) y is inversely proportional to x?.
When x = 4, y = 3.
Find y when x = 5.
Answer:
[tex]\displaystyle y=2.4[/tex]
Step-by-step explanation:
[tex]{\displaystyle y\propto \frac{1}{x} }[/tex]
[tex]\displaystyle y=\frac{k}{x}[/tex]
[tex]\displaystyle 3=\frac{k}{4}[/tex]
[tex]\displaystyle 3 \times 4=k[/tex]
[tex]\displaystyle k=12[/tex]
[tex]\displaystyle y=\frac{12}{5}[/tex]
[tex]\displaystyle y=2.4[/tex]
=ñ
= 80° and m
= 40°, then m
<1 =
VU
ST
60
20
40
Answer:
Option (2).
Step-by-step explanation:
In the figure attached,
PB is a tangent and m(arc VU)= 80°, m(arc ST) = 40°
By theorem of angle between intersecting secants,
"If two secants have been drawn to a circle from a point outside the circle, then the angle between the secants will measure the half of the difference of the intercepted arcs."
[tex](m\angle 1)=\frac{1}{2}(m\widehat{VU}-m\widehat{ST})[/tex]
[tex]=\frac{1}{2}(80-40)[/tex]
= 20°
Therefore, Option (2) will be the answer.
