Students from Shelton Middle are going on a field trip to an amusement park. Those students who have annual passes will pay $10. Other students will pay $35. The school collected $1,375 for 50 students. Which system of linear equations models this situation?
a) 10x + 35y = 50
x + y = 1,375
b) 10x + 35y = 1,375
x + y =50
c) 10x + y = 50
35x + y = 1,375
d) 10x + y = 1,375
x + 35y = 50
Answer:
c
Step-by-step explanation:
Use the net to compute the surface area of the three-dimensional figure.
A) 56 units2
B) 62 units2
C) 68 units2
D) 74 units2
Answer:
B. 62 un2
Step-by-step explanation:
The figure below shows a right pyramid with a square base.
Imagine a cross-section of the pyramid formed by a plane cutting through it that meets these conditions.
• The plane passes through the top vertex of the pyramid.
The plane is perpendicular to the base of the pyramid.
What must be true about the cross section?
o It is a right triangle.
O It is an isosceles triangle.
0 It is an obtuse triangle.
It is an equilateral triangle.
Answer:
Step-by-step explanation:
A quadratic pattern has a second term equal to 1,a third term equal to -16 and a fifth term equal to -14
1.1.1.calculate the second difference of this quadratic pattern
1.1.2.hence or otherwise,calculate the first term of term
Answer:
1.1.1. The common difference is 12
1.1.2. The first term is 30
Step-by-step explanation:
1.1.1. The given quadratic pattern is presented as follows;
The 2nd term = 1
The 3rd term = -16
The 5th term = -14
Let 'd' represent the second difference, we have;
1 + 2d + a = -16
2·d + a = -16 - 1 = -17
2·d + a = -17...(1)
-16 + 3d + a + 4d + a = -14
7·d + 2·a = -14 + 16 = 2
7·d + 2·a = 2...(2)
Making 'a' the subject of both equation (1) and (2) gives;
a = -17 - 2·d
a = 1 - 7/2·d
∴ -17 - 2·d = 1 - 7/2·d
(7/2)·d - 2·d = 1 + 17
(3/2)·d = 18
d = (2/3) × 18 = 12
The common difference, d = 12
a = -17 - 2·d = -17 - 2 × 12 = -41
1.1.2. Let 'x' represent the first term, we have;
x + a + d = 1
x = 1 - (a + d)
x = 1 - (-41 + 12) = 30
The first term, x = 30
my little brother wants to know if these are equal 5(2j + 3 + j) = 3(5j + 4 + j)
Answer:
they are not equal to
Step-by-step explanation:
If a+b=2 find the value of a3+b3+6ab
Answer:
Step-by-step explanation:
Factor the sum of cubes
a³ + b³ = (a+b)(a² - ab +b²)
= 2a² - 2ab + 2b²
a³ + b³ + 6ab = 2a² + 4ab + 2b²
= 2(a² + 2ab +b²)
= 2(a+b)²
= 8
On average, employees at a particular company miss 1 day of work per year. That is 75% less than it was historically, back before there were major management changes. What was the average back then?
Answer:
4 miss days per year
Step-by-step explanation:
Let the previous employees miss days be = x
As given, miss days now are 75% less than previous
x - 75%x = 1/365
0.25x = 1/365
x = 1 / (365 x 0.25)
x = 4/365
So, average back then could have been 4 days per 365 days
River racing us a company that provides inner tubes for a children and adults to float the river. The child tube has a diameter of 4 feet. River racing owns a total of 160 tubes and the total diameter of all the tubes is 430 feet. Write a system to determine the number of child tubes , c , and number of adult tubes, a , that river racing owns.
Answer:
The answer is below
Step-by-step explanation:
River racing us a company that provides inner tubes for a children and adults to float the river. The child tube has a diameter of 2 feet and the adult tube has a diameter of 3 feet. River racing owns a total of 160 tubes and the total diameter of all the tubes is 430 feet. Write a system to determine the number of child tubes , c , and number of adult tubes, a , that river racing owns.
Solution:
Let c represent the number of child tubes and let a represent the number of adult tubes owned by river racing.
Given that there are a total of 160 tubes, hence:
a + c = 160 (1)
The total diameter of all tubes is 430 feet, hence:
3a + 2c = 430 (2)
To find a and c, we have to solve equation 1 and 2 simultaneously. multiply equation 1 by 2 and subtract from 2:
a = 110
Put a = 110 in eqn 1:
110 + c = 160
c = 50
Given the function f(x), what is the transformation f(x)+r, if r is a real number and r > 0?
A. The graph shifts r units down
B. The graph shift r units up
C. The graph shift r units right
D. The graph shift r units left
Answer:
C
Step-by-step explanation:
If r is a real number, then the x intercepts 0 < r, meaning r is greater than 0, you would shift right from 0 to your higher + number.
find the distance between (2,-1) and (1,-2)
find the distance between (-2,-4) and (-1,0)
Answer: if you add 5 then you get 57
Step-by-step explanation: just add ang get the answer
Answer:
just add
Step-by-step explanation:
addd
1.5c = 20 - 2
(Algebra)
Answer:
12
Step-by-step explanation:
1.5c=20-2
1.5c=18
c=18/1.5
c=12
solve for a and B. A. a=400/21, b = 580/21 B. a=400/21, b=20/21. C a=580/21, b=20/21. D a=20/21, b=580/21
Answer:
Step-by-step explanation:
21/29 = 20/b
b = 20*29/21 = 580/21
a^2 + 20^2 = (580/21)^2
a = 400/21
Christopher earns $600 per week and $2.50 for each cell phone he sells. If Christopher earned $697.50 last week, how many cellphone did he sell
Answer:
He sold 39 phones
Answer:
39 Phones
Step-by-step explanation:
2.50x+600=697.50
subtract 600 from both sides to get the equation:
2.50x=97.50
divide each side by 2.50 and you get x=39
please tell me what this answer is
need the answer noww. please help me. show your work, correct answer will get brainliest,
Answer:
y==$281+$166=$447
in 11 weeks she pay $ 447
in 1 weeks she pay $447/11=40.6$
she paid off in 3+8=11 weeks
Can yall help me!? its due at 1:00 pm. (I'll make you brainlest or however you spell it lol)
Answer:
128 calories
Step-by-step explanation:
Remember that an exponent represents multiplying a number repeatedly by itself. For example, using this situation, [tex]2^7[/tex] would represent 2 multiplied by itself seven times:
2 x 2 x 2 x 2 x 2 x 2 x 2
notice that there are 7 2's multiplied by each other ^^
if you are doing this without a calculator, its easiest to start one at a time
2 x 2 = 4
now there are 5 2's left
4 x 2 = 8
there are 4 2's left
8 x 2 = 16
there are 3 2's left
16 x 2 = 32
there are 2 2's left
32 x 2 = 64
there is one 2 left
64 x 2 = 128
so [tex]2^7[/tex] = 2 x 2 x 2 x 2 x 2 x 2 x 2 = 128
I hope that helps :)
A farm grew 19.8 tons of wheat in 2013. The farm's wheat output increased by 9.8% from
2013 to 2014 and by 5.1% from 2014 to 2015. Which expression represents a strategy for
estimating the total output of wheat, in tons, in 2015?
Answer:
Step-by-step explanation:
[tex]19.8(1.098)(1.051)\approx 22.8 tons[/tex]
please help due pretty soon
[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the lines.
Hence, it is a straight line.
the standard equation of a straight line at (x1,y1) with slope m is =>
===> y-y1 = m (x-x1)
Option B.) is the correct answer.
====> y-4 = 2(x+1)
Sorry to bother you but I am so bad at math plz help
Answer:
4
Step-by-step explanation:
Answer
C = 4
Step by Step
Divide both sides by the numeric factor on the left side, then solve.
c = 4
I need help on some of my math
Answer:
true
Step-by-step explanation:
i hope this helps :)
If you guys could help this is urgent!!
Answer:
J
Step-by-step explanation:
Product of a number n and 12 is 96
Answer:
8
Step-by-step explanation:
n * 12 = 96
96/12 = 8
==> n = 8
Cuál es la probabilidad de sacar una canica Roja en una bolsa con( 15 )en total canicas que contiene 2 canicas negras blanco 4 rojas 5 verdes y una amarilla Probabilidad de canicas Negra. Verde. Roja. Amarillo. Blanca
Answer:
the number four that an option and that it a correction to know if you have any questions
Find the value of x.
Answer:
x = 12
Step-by-step explanation:
x² = 24 x 6 = 144
x = 12
What is the volume of a figure with that is 3 inches wide, 3 inches tall and 7 inches long?
Answer:
Step-by-step explanation:
volume=3×3×7=63 inch³
Is 1/7 an irrational number?
Answer:
Yes
Step-by-step explanation:
1/7 = 0. 142857, where the bar over 142857 indicates a pattern that repeats forever. A real number that cannot be expressed as a quotient of two integers is known as an irrational number.
There are 96 raisins and 24 cashews in each package of granola.
What is the unit rate in raisins per cashew?
4
12
20
96
Find the area of obtuse triangle ABC when A=41 degrees, a=18cm, and b=22cm.
Answer:
36 cm²
Step-by-step explanation:
cos A= (`sqrt(b)` + `sqrt(c)` - `sqrt(a)`)/(2bc)⇒c ≈ 5 cm
Sabc= (1/2)bcsin A ≈ 36 cm²
Please Help, I will give you a Brainliest and 30 points
Answer:
SVU is 100 degrees i think because i uploaded the image to an online protractor and it said 100 degrees so hopefully its right lol
Step-by-step explanation:
Answer:
112°Step-by-step explanation:
Opposite angles are congruent.Diagonals of rhombus are angle bisectors.TV is bisecting angle STU and SVU∠STW ≅ ∠UTW9x - 43 = 5x + 19x - 5x = 1 + 434x = 44x = 11m∠STV = 9*11 - 43 = 56°m∠STU = 56*2 = 112°SVU = STU = 112°Mary is booking a 3-night stay at a hotel. The rate is $69 per room plus tax. If
state tax is 6%, city tax is 2%, and municipal tax is 1%, what is her total
lodging cost?
A. $273.12
B. $128.62
C. $182.62
D. $225.63
The cost of Mary's lodging cost is A = $ 225.63
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
In an equation, the expressions on either side of the equals sign are called the left-hand side (LHS) and the right-hand side (RHS), respectively. The equals sign (=) indicates that the two expressions have the same value, and that the equation is true for certain values of the variables involved.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. It typically consists mathematical operations, such as addition, subtraction, multiplication, division, and exponentiation.
Given data ,
Let the total lodging cost be represented as A
First, let's calculate the total tax percentage
6% + 2% + 1% = 9%
So, Mary will pay 9% tax on the room rate of $69 per night.
Total room rate for 3 nights = 3 x $69 = $207
Total tax amount = 9% of $207 = $18.63
On simplifying the equation , we get
Therefore, Mary's total lodging cost will be:
A = $207 + $18.63 = $225.63
Hence , the total lodging cost is A = $ 225.63
To learn more about equations click :
https://brainly.com/question/19297665
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