MATHEMATICS HIGH SCHOOL

Mrs. Stephan took her children to pick out pumpkins. Carter picked out a pumpkin priced $20, andIsabelle picked out a pumpkin priced at $13. How much did Mrs. Stephan pay for both pumpkins, including
7% sales tax?

Answers

Answer 1
Answer:

Answer:

$35.31

Step-by-step explanation:

In this question, we're trying to find the total cost of the pumpkins (including tax).

We know that Carter picked a $20 pumpkin, while Isabelle picked a $13 pumpkin.

We also know that the sales tax is 7%

To get your answer, we would add the prices of the pumpkin and find the tax price to get our final answer.

Find the total cost:

20 + 13 = 33

Since the sales tax is 7%, we would multiply 33 by 1.07:

33 · 1.07 = 35.31

Mrs. Stephan paid $35.31 for the pumpkins and sales tax.

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What can be multiplyed by 3 to equal 40
Is 4xy + 2y = 9 linear ? If yes write the equation in standard form & determine the x & y interests

Three-fifths of the passengers on a cruise are female. Half of the female passengers and one-third of the male passengers are Canadian. What fraction of the passengers are Canadian?

Answers

x-all\ passangers\n\n(1)/(2)\cdot(3)/(5)x+(1)/(3)\cdot(2)/(5)x=\n\n(3)/(10)x+(2)/(15)x=\n\n(9)/(30)x+(4)/(30) x=\n\n(13)/(30)x\n\nCanadian\ are\ (13)/(30)\ of\ all\ passangers.

Which shows one way to determine the factors of 12x3 – 2x2 + 18x – 3 by grouping?2x2(6x – 1) + 3(6x – 1)
2x2(6x – 1) – 3(6x – 1)
6x(2x2 – 3) – 1(2x2 – 3)
6x(2x2 + 3) + 1(2x2 + 3)

Answers

Hello,
Answer A

12x^3-2x²+18x-3
=2x²(6x-1)+3(6x-1)
=(6x-1)(2x²+3)

The factorization of  the given expression by grouping yields(6x-1)(2x²+3).

What is factorization?

Factorization is a way in which the common factors of the terms in an  algebraic expression are found. We have the expression 12x^3-2x²+18x-3 in which are to factorize by grouping.

In order to carry out this factorization by grouping we have to perform the following steps;

  • Identify common factors which are 2x^2 and 3
  • Apply the common factors to two groups of the portions of the expression as shown;

12x^3-2x²+18x-3

2x²(6x-1)+3(6x-1)

(6x-1)(2x²+3)

Learn more about factorization: brainly.com/question/6810544

3. 2x – y = -74x – y = -4
A) (-1.5, 4)
B) (1.5, 10)
C) (4, -1.5)
D) (-1.5, -2)

Answers

multiply first equaton by -1 and add to first

-2x+y=7
4x-y=-4 +
2x+0y=3

2x=3
divide 2
x=3/2

sub
2x-y=-7
2(3/2)-y=-7
3-y=-7
minus 3
-y=-10
negative 1 times both sides
y=10

(3/2,10)
(1.5,10)

B is ansre

Whitch simplified fraction is equal to 0.53

Answers

The decimal .53 has the 3 in the hundredths place, so the fraction that this was originally is  (53)/(100).  When you divide 53 by 100 on your calculator, you will get backk .53
The most simple version of 0.53 in a fraction would be 53/100.

Since 53 is a prime number, we divide it between 100, and we get (53)/(100)

Hope this helped! c:

Line CD contains points A (4, 6) and B (−2, 6). The slope of line CD is

Answers

Answer:

0

Step-by-step explanation:

Given :Line CD contains points A (4, 6) and B (−2, 6).

To Find : The slope of line CD .

Solution :

A(x_(1),y_(1))=(4,6)

B(x_(2),y_(2))=(-2,6)

Formula for Slope(m):

m =(y_(2)-y_(1))/(x_(2)-x_(1))

putting values

m =(6-6)/(-2-4)

m =(0)/(-6)

m =0

Hence the slope of line CD = 0
m = (y_(2) - y_(1))/(x_(2) - x_(1)) = (6 - 6)/(-2 - 4) = (0)/(-6) = 0

The slope of line CD is 0, making the function equal to y = 6

Three consecutive even integers have a sum of 18. Find the integers.

Answers

Let
x = first consecutive even
x + 2 = second consecutive even
x + 4 = third consecutive even

Based on the problem, we equate
x + (x + 2) + (x + 4) = 18
Solving for x,
3x + 6 = 18
3x = 18 - 6
3x = 12
x = 12/3
x = 4
and x + 2 = 4 + 2 = 6
and x + 4 = 4 + 4 = 8

Therefore, the three consecutive even integers are 4, 6, 8.
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