MATHEMATICS HIGH SCHOOL

Write the following problem as a pair of simultaneous equations and solve:a) find two numbers whose difference is 5 and whose sum is 23.
b) a rectangular house has a total perimeter of 34 metres and the width is 5 metres less than the length. what are the dimensions of the house?
c) if two chupa chups and three wizz fizzes cost $2.55, but 5 chupa chups and seven wizz fizzes cost $6.10, find the price of each type of lolly.

Answers

Answer 1
Answer: a) The two numbers are 14 and 9. 14-9=5, 14+9=23
B) Dimensions of the house: w=6, L=11

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When y= 234, x= 18. Find the value of x when y= 91. A. 12.75
B. 4.9
C. 7
D. 33.4
F. 13

Answers

Answer:

C

Step-by-step explanation:

Hey! So first divide 234 by 18 to find a ratio. You would get 13:1. So apply this to y=91. 91/13 is 7.

Final answer:

To find the value of x when y = 91, set up a proportion using the given values and cross-multiply. Divide both sides of the equation by the coefficient of x to solve for x. The value of x when y = 91 is 7.

Explanation:

To find the value of x when y = 91, we can use the concept of proportionality. We know that when y = 234, x = 18. We can set up a proportion by cross-multiplying:

(x / 18) = (91 / 234)

Cross-multiplying gives us:

234x = 91 * 18

Dividing both sides by 234 gives us the value of x:

x = (91 * 18) / 234

Simplifying the expression, we get:

x = 7

Therefore, the value of x when y = 91 is 7.

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Please help Match the picture to the reason that would prove the triangles congruent.

Options:
NONE
ASA
SSS
SAS
AAS
HL

Answers

Answer is AAS hope this helps

Simplify the expression. 6p5

Answers

If you are considering P of the permutation and combination. Then simply pit the figure 6P5 in calculator and your answer will be 720. Or if not calculator then the formula is P(n,r)= n(factorial)/ (n-r)factorial. 

What is 8u + 9v + 3u -5v simplified

Answers

8u + 9v + 3u -5v can be simplified as 11u + 4v.

What is expression?

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division. The terms involved in an expression in math are:

Constant: A constant is a fixed numerical value.

Variable: A variable is a symbol that doesn't have a fixed value.

Term: A term can be a single constant, a single variable, or a combination of a variable and a constant combined with multiplication or division.

Coefficient: A coefficient is a number that is multiplied by a variable in an expression.

Given expression

8u + 9v + 3u - 5v

Adding like terms

= 11u + 4v

Hence, 11u + 4v is simplified form of expression 8u + 9v + 3u -5v.

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8u + 9v + 3u -5v
= 11u + 4v ....simplified

hope it helps

How are a trapezoid and a rectangle different

Answers

-- Both pairs of sides of a rectangle are parallel.
Only one pair of sides of a trapezoid are.

-- A rectangle is a parallelogram.
A trapezoid isn't.

-- The opposite sides of a rectangle are equal.
The opposite sides of a trapezoid aren't.

-- All of the angles of a rectangle are right angles.
The angles of a trapezoid aren't.

-- The area of a rectangle is the product of (length) times (width).
The area of a trapezoid is (height) times (the average of the two bases).


A trapezoid has two perpendicular sides, and a rectangle has 4 parallel sides. 

Find the value or values of the Y in the quadratic equation y squared + 4 y + 4 equals 7

Answers

y² + 4y + 4 = 7
             - 7  - 7
 y² + 4y - 3 = 0
               y = -(4) ± √((4)² - 4(1)(-3))
                                   2(1)
               y = -4 ± √(16 + 12)
                                 2
               y = -4 ± √(28)
                            2
               y = -4 ± 2√(7)
                            2
               y = -2 ± √(7)
               y = -2 + √(7)    U    y = -2 - √(7)
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