Answer:
Cost of one Teacup = $3
Cost of one Roller coaster = $4
Cost of one Spinning Vortex = $6
Marc spent = 3x + 2y + 2z = $29
Step-by-step explanation:
Let
Cost of one Teacup = x
Cost of one Roller coaster = y
Cost of one Spinning Vortex = z
In Kristen case -
2x + 2y + z = $20
In Jorge case -
x + y + 3z = $25
In Lakesha case -
5x + 2y + z = $29
In Marc case -
3x + 2y + 2z = ?
Now, we have
2x + 2y + z = $20 ......(1)
x + y + 3z = $25 ........(2)
5x + 2y + z = $29 .........(3)
Now,
Subtract equation (1) from equation (3), we get
5x + 2y + z - ( 2x + 2y + z ) = $29 - 20
⇒5x + 2y + z - 2x - 2y - z = $9
⇒3x = $9
⇒x = $3
Now,
Multiply be 2 in equation (2) , we get
2x + 2y + 6z = $50 ........(4)
Now,
Subtract equation (1) from equation (4), we get
2x + 2y + 6z - ( 2x + 2y + z ) = $50 - 20
⇒2x + 2y + 6z - 2x - 2y - z = $30
⇒5z = $30
⇒z = $6
Now,
Put the values of x and z in equation (2) , we get
$3 + y + 3($6) = $25
⇒$3 + y + $18 = $25
⇒y + $21 = $25
⇒y = $25 - 21
⇒y = $4
∴ we get
Cost of one Teacup = x = $3
Cost of one Roller coaster = y = $4
Cost of one Spinning Vortex = z = $6
Marc spent = 3x + 2y + 2z = 3($3) + 2($4) + 2($6) = $9 + $8 + $12 = $29
Write the equation of a line given its slope,m=6 and its y-intercept, b=-5
Answer:
Y = 6X-5
Step-by-step explanation:
substitute the value of slope and Y intercept in the standard equation Y = MX + B
where M is the slope and b is the y-intercept
Solve x for -2x- 1 = -7
Answer:
x = 3
Step-by-step explanation:
Add 1 on both sides.
We get:
-2x = -6
Now divide -6 by -2...
-6/-2 = 3
-2x -1 = -7
add the "-1" on both sides, -2x -1 +1 = -7 +1
-2x = -6
divide "-2" on both sides, -2x/-2 = -6/-2
x = 3
IS THERE ANYONE THAT WILL HELP WITH THIS PROBLEM AND BRAINLLEST FOR CORRECT PEOPLE
Segment FG is shown. Point F is located at (−5,−4). Point G is located at (3,−4).
Answer the question below.
Answer:
the midpoint is at (-1,-4)
Answer:
-1, -4
Step-by-step explanation:
find the middle of the segment
Problem 2
An online retailer advertises the following shipping and handling fees for every order:
Order Amount ($)
0 – 49.99
50 – 75.99
76+
Shipping and Handling ($)
3.95
11.95
5.95
The sales tax in Arizona on online orders is 5.6%. Use this information to answer the following questions.
**Assume that the shipping and handling is added after the sales tax is applied to the order.
Part a)
Using the information above, write an equation that represents the total cost as a function of the order amount in a customer’s “cart”. (Remember: Identify your input and output variables, and use proper notation – I recommend you handwrite your function and add a picture in to this document)
Part b)
Genevieve, who lives in Prescott, has a cart total of $74.50. How much will her total cost be? (Remember: Show all your work for full credit)
Part c)
Rafael, who lives in Tucson, paid $89.20 for his items. How much was his cart total? (Remember: Show all work, and make sure you get all of the answers)
Answer:
Let the 'cart' total is x and total payment is y.
The sales tax is 5.6% added to the 'cart' amount and then shipping and handling fee added.
Part AThere are three intervals as below and function added accordingly:
0 < x ≤ 49.99 ⇒ y = x + 5.6% + 3.95 = 1.056x + 3.9550 ≤ x ≤ 75.99 ⇒ y = x + 5.6% + 11.95 = 1.056x + 11.95x ≥ 76 ⇒ y = x + 5.6% + 5.95 = 1.056x + 5.95Part Bx = 74.50, this falls in the second intervaly = 74.50*1.056 + 11.95 = $90.62 (rounded )Part Cy = 89.20, this is close to the number we got in part B and we assume it is same - the middle interval.
89.20 = 1.056x + 11.951.056x = 89.20 - 11.951.056x = 77.25x = 77.25 / 1.056x = 73.15 (rounded )-----------------------------------------
Note. Shipping and Handling charges seems incorrectly ordered. If so the answers above all should change accordingly.A coordinate grid is shown below:
Part A: Which point represents the origin? (2 points)
Part B: Starting from the origin, explain how to plot the following three points accurately:
(2, −2)
(−2, 1.5)
Please answer the question quickly, Thank you.
Answer:
I would need to see a coordinate plane in order to answer. Sorry
Step-by-step explanation:
Si un jarrón tíene 80 cm de altura ¿ cuantos milímetros mida
Si tiene 80 cm de altura mier 800 milímetros de altura
Enter
31/100 as a money amount and as a decimal in terms of dollars.
Answer:
It would be .31 cents, I believe
Step-by-step explanation:
Just divide 31 by 100 and you'll get your answer.
:)
Solve the system below"
W
y = - 3x + 17
y = -x + 3
O (7.4)
O (-7,-4)
O (7.-4)
Answer:
I think its (7,-4)
Step-by-step explanation:
solve x:
plug in y
-x+3=-3x+17
solve
x=7
solve y:
plug in what you got for x
y=-3(7)+17
solve
y=-4
HELP ME PLS :) !!!!!
Answer:
30
Step-by-step explanation:
78-48=30
78-48=30 es la respuesta
5. Which ordered pair could be added to the
relation below to ensure it continues to be a
function?
(-7, 9), (4, -1), (0, 5), (-2,-2)
A. (4,-4)
B. (5,0)
C. (0, -3)
D. (-7, -1)
classify the number -4_6/7 in as many ways as you can
-34/7 is the exact form -4.857142 repeating
In a triangle ABC, angle B and C are 60 each, what is the value of angle A?
Answer:
60
Step-by-step explanation:
because angles in a triangle =180
so if angle b and c are 60 angle a will be
a = 180- 60- 60
angle a =60°
plzzz helppp!!!!! Marking most Brainly!!!!!
Answer:
c
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
there are less people to answer so it wouldn't be enough
What will the area be?
Include the appropriate unit in your answer.
Answer:
Step-by-step explanation:
area of triangle = ½(base)(height)
= ½(25 m)(12 m)
= 150 m²
The mass of carbon is 1.995 x 10^-23 grams per atom and the mass of hydrogen is
1.674 X 10^-24 grams per atom. Which is larger?
Answer:
Carbon
Step-by-step explanation:
When the power of 10 is negative, the less the exponent the bigger the number
Answer:
Step-by-step explanation:
the larger number is 1.995x10^-23
PLEASE HELP MEEEEEE I need help quickly
Answer:
60
Step-by-step explanation:
There are sixty students.
15% = 9
------------------
100% = x
Cross muliply.
900
------
15x
Divide 15x by 15, and 900 by 15.
Answer is 60.
I hope this helps!
Brainliest would be awesome!
Someone plz help been stuck on this question for the last 2 hours
Paul has $30,000 to invest. His intent is to earn 11% interest on his investment. He can invest part of his money at 7% interest and part at 13% interest. How much does Paul need to invest in each option to make a total 11% return on his $30,000?
7% interest =$?
13% interest =$?
Answer:
7% interest = $10000
13% interest = $20000
Step-by-step explanation:
Let the amount invested at 7% interest be x.
Let the amount invested at 13% interest be y.
Thus;
x + y = 30000 - - - (eq 1)
We want to find out how much Paul needs to invest in each option to make a total 11% return on his $30,000.
Thus;
0.07x + 0.13y = 0.11(30000)
Multiply through by 100 to get rid of the decimal;
7x + 13y = 0.11(30000 × 100).
7x + 13y = 330000 - - - (eq 2)
From eq 1, x = 30000 - y
Put this for x in eq 2 to get;
7(30000 - y) + 13y = 330000
210000 - 7y + 13y = 330000
6y = 330000 - 210000
6y = 120000
y = 120000/6
y = $20000
x = 30000 - 20000
x = $10000
Thus;
Amount invested at;
7% interest = $10000
13% interest = $20000
forty percent of N is equal to two hundred forty. how do i write in number?
The number N whose forty percent is 240 is 600, or we say that 40% of 600 is 240
How to find the percentage from the total value?Suppose the value of which a thing is expressed in percentage is "a'
Suppose the percent that considered thing is of "a" is b%
Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).
Thus, that thing in number is
[tex]\dfrac{a}{100} \times b[/tex]
For this case, we are specified that:
40% of N = 240
Since 40% of N is [tex]\dfrac{N}{100} \times 40[/tex], thus, we get
[tex]\dfrac{N}{100} \times 40 = 240[/tex] (as they both are same quantity, ie. 40% of N)
Now, solving it further to get value of N:
[tex]\dfrac{N}{100} \times 40 = 240\\\\\text{Multiplying 100 on both the sides}\\\\N \times 40 = 24000\\\\\text{Dividing both the sides by 40}\\\\N = 24000/40 = 600[/tex]
Thus, 40% of 600 is 240 or we say that the number N whose forty percent is 240 is 600
Learn more about percent here:
https://brainly.com/question/11549320
1) Which of the following are considered POLYNOMIALS according to the rules of polynomials? Check all that apply
Answer:
A polynomial is writen as:
p(x) = aₙ*xⁿ + ... + a₂*x² + a₁*x¹ + a₀
So we can only have positive integer exponents of x.
the coefficients "a" can be any real number.
Let's analyze the options:
1) Here we can see a term with "√x", remember that:
√x = (x)^(1/2)
This is not an integer exponent, then this is not a polynomial.
2) This is a polynomial.
3) Here we have the term "4/x"
This can be written as:
4/x = 4*x^(-1)
Then this is not a polynomial.
4) Here we have the term "5^x"
In a polynomial we must have powers of x, not x as a power, then this is not a polynomial.
5) This is a polynomial.
6) Here we have the term " 2/x^2"
This can be written as:
2/x^2 = 2*x^(-2)
We have a negative exponent of x, then this is not a polynomial.
1. Evaluate the expression when b = 24.3
10 + b
HELP!!! I have no clue!!! Please help
Enter the rational number as a decimal. Then tell whether the decimal is a terminating or a repeating decimal.
3
5
=
The decimal is
(select)
.
Answer:
3
Step-by-step explanation:
the answer is 3, you can also search up the answers on the internet or use an online calculator
Answer: Decimals are of different types based on the numbers that come after the decimal point. These types are terminating decimal numbers, non-terminating repeating decimals, recurring decimal numbers, and non-recurring decimal Numbers. The answer is 3, you can also search up the answers on the internet or use a calculator.
plecorato de potasio es elemento
Answer:
no es un elemento de la tabla periódica
2x-5y + 11=0 3x-4y=18
Answer:
x = 134/7
y = 69/7
Step-by-step explanation:
let the x or y have a same coefficient to have a better way to solve it
The equation y=0.24x+1.20 can be used to predict the price of fuel oil per gallon,
where x is the number of years since 2002. According to the model, what will be the
price of fuel oil per gallon be in 2018?
Answer: $5.04
Step-by-step explanation:
1.) Start by subtracting 2002 from 2018. (2018-2002=16)
2.) plug into the equation ( y= 0.24(16)+1.20)
3.) plug into calculator and you should get 5.04
Answer:
5.04
Step-by-step explanation:
5.04
Hya think of a number "m" . She square it, add "y" to the answer and then subtract 7 from it. The final answer is "A". 1) Derive the formula for A 2) Using the formula, find the value of A when m= 3 and
Given, to find A we have to :
square mAdd y to m²Subtract 7 from m² + yFrom the question, the following equation can be formed :
[tex] =\tt A = {m}^{2} + y - 7[/tex]
Therefore, the formula for finding A = m² + y - 7
Solution (2) :The value of A we can derive from the formula is :
[tex] =\tt A = {m}^{2} + y - 7[/tex]
Value of m = 3 (given)
Which means :
[tex] =\tt A = {3}^{2} + y - 7[/tex]
[tex] =\tt \: A = 9 + y - 7[/tex]
[tex] =\tt A = 9 - 7 + y[/tex]
[tex]\color{plum} =\tt A = 2 + y[/tex]
Thus, the value of A = 2+y
Therefore, the value of A = 2+y
Evaluate the expression 12/(10-2)-(22-18)
A. 3
B. 4
C. 12
D. 0
Answer:
A
Step-by-step explanation:
It would be helpful if you can help me with this!
Your uncle is 2 years older than 3 times your age
You are 12 years old. How old is your uncle?
(Look at the picture)
Find the area of the trapezoid. If the answer is not an integer, leave it in simplest radical form. The figure is not to scale.
A=
Step-by-step explanation:
area of trapezium = 15× 12 + 1/2× 12× 5
= 180 + 30 = 210
plz mark my answer as brainlist plzzzz.
hope this will be helpful to you .
) Farmer Ben has only ducks and cows 24 in total. He can’t remember how many of each he
has. He knows that the animals have a total of 66 legs. Assuming that each animal has all legs intact
and no extra limbs, how many of each animal does farmer Ben have? Draw a clear diagram to answer
this question.
can you pleas help and show your work :)
Answer:
9 cows, 15 chicken
Step-by-step explanation:
9 x 4 = 36
15 x 2 = 30
9 + 15 = 24
36 + 30 = 66
Which statement is not true? Help ASAP! Thanks!!
Answer:
4 option...... .......