MATHEMATICS HIGH SCHOOL

What is 5(x+8)=7x+38
Simplify your answer as much as possible

Answers

Answer 1

Answer:

Answer:

5*(x+8)-(7*x+38)=0

5 • (x + 8) - (7x + 38) = 0

2 - 2x = -2 • (x - 1)

-2 • (x - 1) = 0

-2 = 0

This equation has no solution.

A a non-zero constant never equals zero.

x-1 = 0

x = 1

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AC and BD are perpendicular bisectors of each other. Find the perimeter of ADE. m<D = 12, AB = 13, EC = 5.

Answers

The perimeter of the triangle ΔADE will be 30 units.

What is the perimeter of a triangle?

Let the triangle be ABC.

Then the perimeter of the triangle will be

Perimeter = AB + BC + CA

AC and BD are perpendicular bisectors of each other.

The diagram is shown below.

P = AD + DE + EA

P = 13 + 12 + 5

P = 30 units

More about the perimeter of a triangle link is given below.

brainly.com/question/23935199

#SPJ2

THE CORRECT ANSWER IS 30.

AC and BD are perpendicular bisectors of each other.

=> ABCD is rhombus.

AD = 13

AE = √(13^2 - 12^2) = 5

the perimeter of triangle ADE = 13+12+5 = 30

Three workers arrive at work 15 minutes late, at a cost of $11/hour how will it cost company?

Answers

$1h=60min\n\n\begin{array}{ccc}60min&-&\$11\n\n15min&-&\$x\end{array}\n\n\ncross\ multiply:\n\n60x=11\cdot15\ \ \ /:60\n\nx=(11\cdot15)/(60)\n\nx=(11)/(4)\n\nx=2.75\ (\$)\leftarrow Answer$

$other\ method:\n\n\$11\ -\ 60min\ \ \ \ /:4\n\n\$11:4\ -\ 60min:4\n\n\$2.75\ -\ 15min$

$Answer:a\ cost\ (\$2.75)/(15min)$

Mark works at a popular electronics retail store. He earns a fixed income of $18 an hour and a 5% commission on the sales he makes. Let's say, y = earnings h = number of hours worked s = amount of sales Which of these equations correctly indicates how much Mark earns in a day?

Answers

Answer:

Mark earns in a day is y = 18h + 0.05s .

Step-by-step explanation:

As given

Mark works at a popular electronics retail store.

He earns a fixed income of $18 an hour and a 5% commission on the sales he makes.

As given

y = earnings .

h = number of hours worked

s = amount of sales

5% is written in the decimal form.

$= (5)/(100)$

= 0.05

Mark earns through commission = 0.05 × s

= 0.05s

Mark earns h working hours = 18h

Thus

Total earning of the mark = Mark earns h working hours + Mark earns through commission .

Put the value

y = 18h + 0.05s

Therefore the Mark earns in a day is y = 18h + 0.05s .

y=18h+0.05s, 18 dollars per hour plus 0.05 per sales will give you the earnings Mark earns a day.

Which measurement is most accurate to describe the amount of water a teaspoon could hold?5 mL
3 L
25 mL
0.3 L

Answers

5 mL. 1 (US)teaspoon = 4.92892 mL

Answer:

5ml

hope that helps

Step-by-step explanation:

C=5(y-8) solve for y

Answers

Answer:

The steps to do this :

$c = 5(y - 8)$

$c = 5y - 40$

$c + 40 = 5y$

$y = (c + 40)/(5)$

steps:
1. distribute 5 to y and 8 so you get c= 5y-40
2. subtract 40 over (c-40=5y)
3. finally divide by 5, getting you c-8=y :))

a line passes through (9, –9) and (10, –5).write an equation for the line in point-slope form. rewrite the equation in standard form using integers. y 9 = (x – 9); –4x y = –45 y 9 = (x 9); –4x y = –45 y – 9 = (x 9); –4x y = 45 y – 9 = (x – 9); –4x y = 45

Answers

The equation of the line in point-slope form is given by:
$y-yo = m (x-xo)$
Where,
(xo, yo): point that belongs to the line
m: slope of the line
The slope is given by:
$m = (y2-y1)/(x2-x1)$
Substituting values:
$m = (-5-(-9))/(10-9)$
Rewriting:
$m = (-5+9)/(10-9)$
$m = (4)/(1)$
$m=4$
Now we choose an ordered pair:
$(xo, yo) = (10, -5)$
Substituting values we have:
$y-(-5)=4(x-10)$
$y+5=4(x-10)$
We now rewrite the equation in its standard form:
$y = mx + b$
Where,
b: cut with the y axis.
We have then:
$y = 4x - 40 - 5y = 4x - 45$
Answer:
point-slope form:
$y+5=4(x-10)$
or
$y+9=4(x-9)$
standard form
$y = 4x- 45$