MATHEMATICS HIGH SCHOOL

in a sale all the normal price is reduced by 15% the sale price of a suit is £110.50 work out the normal price

Answers

Answer 1

Answer:

Answer:

£130

Step-by-step explanation:

100%-15%=85%

110.5/85=1.3

1.3 is 1%

you need to find 100%, so:

1.3 x 100= 130

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12. Given y-3 = (x + 1), convert it to standard form.

Which equation is equivalent to 4.5 = 2a?

Answers

2a = 4.5 |divide both sides by 2

a = 2.25

Answer:

a = 2.25

Step-by-step explanation:

At the metal-casting company where you work, you must set up a conveyor system to move castings from the furnace to the heat treatment area 55 yards away. The castings cool at the rate of 0.3°F (degrees Fahrenheit) per second and must not be allowed to cool more than 7°F before being heat treated. What is the minimum speed, in feet per second, that the conveyor must move?

Answers

Answer:

the minimum speed, in feet per second, that the conveyor must move is 7.07143 ft/sec

Step-by-step explanation:

Let's assume time it takes to cool is 't' seconds

so, we are given

The castings cool at the rate of 0.3°F (degrees Fahrenheit) per second

so, total change in temperature will be

$=0.3* t$

$=0.3t$

must not be allowed to cool more than 7°F before being heat treated

so, that temperature must be equal to 7

$0.3t=7$

now, we can solve for t

$t=(7)/(0.3)$

$t=(70)/(3)$ sec

now, we are given length of casting is 55 yards

so, firstly we will change it into ft

1 yard =3 ft

so,

$55 yard=3* 55 ft$

$55 yard=165 ft$

so, we have

total length =55 ft

now, we can use speed formula

$speed=(length)/(time)$

we can plug values

$speed=(165)/((70)/(3) )$

so, speed is 7.07143 ft/sec

Answer:

7.07 is the answer i got as well

Step-by-step explanation:

Match the result of solving an equation to the number of solutions the equation has3 = 3
no solution
6 = 3
infinitely many solutions
one solution
x=3

Answers

Answer:

x=3 is one solution

3=3 has infinitely solutions

6=3 has one solutions.

Step-by-step explanation:

I got it correctt on Edg.

Answer: x = 3 one solution

3=3 infinitely many solutions

6=3 no solution

PLEASE HELP WILL GIVE BRAINIEST1.

Which is the equation of the given line in ponit-slope form?

A. y + 4 = 9/8(x + 1)

B. y + 1 = 8/9(x + 4)

C. y + 1 = 8/7(x + 4)

y - 1 = 8/9(x - 4)

(SAME IMAGE FOR QUESTION 2)

2.

Write the equation of the line in standard form.

A. -8x + 9y = 23

B. -8x + 9y = -23

C. -8x + 7y = 25

D. -9x + 8y = -23

Answers

Answer:

1. B

2. A $(y+1)=(8)/(9) (x+4)\ny+1=(8)/(9) x+(8)/(9) *4\ny+1=(8)/(9) x+(32)/(9)\n9*(y+1=(8)/(9) x+(32)/(9))\n9y+9=8x+32\n-8x+9y=32-9\n-8x+9y=23$

Step-by-step explanation:

The point slope form of a line is $(y-y_1)=m(x-x_1)$ where $x_1=-4\ny_1=-1$ . We write

$(y--1)=m(x--4)\n(y+1)=m(x+4)$

To find m, count the slope from each marked point on the graph. Notice one is 1/2 so we will count by halves. The slope is 8/9

This means B is the point slope form. To convert to the standard form, it must be written as $ax^2+by^2=c$ . We convert using inverse operations.

The number of possible different 12-letter arrangements of the letters in the word “TRIGONOMETRY” is represented by

Answers

We will use formula for Permutations with repetition:
P(n, m1,m2,m3) = n! / m1! · m2! · m3!
In the word TRIGONOMETRY we have repetitions of letters: T, R and O.
P= $(12!)/(2!*2!*2!)= (12*11*10*9*8*7*6*5*4*3*2*1)/(2*1*2*1*2*1) =$ = 59,875,200

Please answer this question.1m of ribbon costs £3.20. find the cost of 1 and 1/4 m

Answers

$\begin{array}{ccc}1m&-&\£3.20\n\n1(1)/(4)m&-&x\end{array}\n-------------\nmultiply\ on\ the\ cross\n-------------\n1\cdot x=1(1)/(4)\cdot3.20\n\nx=1.25\cdot3.20\n\nx=4\n\nAnswer:\£4.00$

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