MATHEMATICS HIGH SCHOOL

Pls halp due today thank you!
Pls halp due today thank you! - 1

Answers

Answer 1
Answer: Slope = -8/1
Y-Intercept = (0,4)
Equation = y=-8+4
Answer 2
Answer:

Answer:

k

Step-by-step explanation:

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Metropolitan high school sells sweat shirts and t shirts at each athletic event. during the first event, they sold 12 sweatshirts and 8 t-shirts for a total of $312. the school took in $300 during a second event by selling 8 sweatshirts and 13 t-shirts. what is the price of one sweatshirt and one t shirt HELP NOW PLEASEEEE

Answers

Answer:

T = $12

S =$18

Step-by-step explanation:

This question would be solved using simultaneous equation

Let t = cost of t-shirt

s = price of sweatshirt

two equations can be derived from this question

12s + 8t = 312   eqn 1

8s + 13t = 300   eqn 2

Multiply eqn 1 by 8 and eqn 2 by 12 :

96s + 64t = 2496 eqn 3

96s + 156t = 3600 eqn 4

subtract eqn 3 from 4

92t =1104

t = 12

Substitute for t in eqn 1

12s + 8(12) = 312

12s + 96 = 312

12s = 216

s = 18

Determine if the following lines are parallel, perpendicular, or neither. y=x-8 x+y=-5

Answers

Answer:

To determine if two lines are parallel or perpendicular, we need to examine their slopes.

First, let's rearrange the second equation, x+y=-5, to slope-intercept form (y = mx + b):

y = -x - 5

In this form, we can see that the slope of the second line is -1.

The first equation, y=x-8, is already in slope-intercept form, y = mx + b, where the slope is 1.

Comparing the slopes, we can see that the slopes of the two lines are different. The slope of the first line is 1, and the slope of the second line is -1.

Since the slopes are not equal, the lines are not parallel.

Now, let's determine if the lines are perpendicular:

Two lines are perpendicular if the product of their slopes is -1.

The slope of the first line is 1, and the slope of the second line is -1.

Since 1 * -1 = -1, the product of the slopes is -1.

Therefore, the lines y = x - 8 and x + y = -5 are perpendicular.

Step-by-step explanation:

Answer:     Perpendicular

Step-by-step explanation:

Our task is to identify if these lines are parallel or not. The lines are :

  • \rm{y=x-8}
  • \rm{x+y=-5}

A good move would be to write these two equations in the same format. The easiest one is slope-intercept. Equation 1 is already in this form, but the second one isn't.

To write the second equation in slope-intercept, all we need to do is subtract x from both sides, and we get:

  • \rm{y=-5-x}

Now, switch the terms:

  • \rm{y=-x-5}

The slope of the first line is 1, and the slope of the second line is -1.

They can't be parallel, since their slopes are not the same. For them to be perpendicular, their slopes should be negative reciprocals of each other.

Is -1 the negative inverse of 1? Yes.

∴ The lines are perpendicular.

A grocery store clerk is putting cans of soup on the shelves.She has 12 boxes,wich each contain 24 cans of soup.Altogether,how many cans of soup will the clerk put ont he shelves

Answers

it's 12x24=288 problem solved

Alan has 80% more stamps than Billy. Billy has 3/5 of the number of Charlies stamps. If Billy gave 150 stamps to Charlie, then Charlie would now have three times the number of Billys remaining stamps. What is the total number of stamps they have altogether?

Answers

a=alan
b=billy
c=charlie

a is 80% more than charlie means that a is 100% and billy=20%, so 20% of alan=billy
0.2a=c

b has 3/5 of c
b=3/5c

if b-150 and c+150, (c+150)=3 times (b-150)
luckily we can related c and b
b=3/5c
c+150=3(3/5c-150)
distribute
c+150=9/5c-450
add 450 both sides
c+600=9/5c
minus c both sides
600=4/5c
times 5/4 both sides
750=c

charlie has 750 stamps
billy=3/5 times c
b=3/5 times 750
b=450
allan has 80% more than billy
0.2a=b
0.2a=450
divide both sides by 0.2
a=2250

b=450
a=2250
c=750
add them
a+b+c=2250+450+750=3450 stamps

a=alan

b=billy

c=charlie

a is 80% more than charlie means that a is 100% and billy=20%, so 20% of alan=billy

0.2a=c

b has 3/5 of c

b=3/5c

if b-150 and c+150, (c+150)=3 times (b-150)

luckily we can related c and b

b=3/5c

c+150=3(3/5c-150)

distribute

c+150=9/5c-450

add 450 both sides

c+600=9/5c

minus c both sides

600=4/5c

times 5/4 both sides

750=c

charlie has 750 stamps

billy=3/5 times c

b=3/5 times 750

b=450

allan has 80% more than billy

0.2a=b

0.2a=450

divide both sides by 0.2

a=2250

b=450

a=2250

c=750

add them

a+b+c=2250+450+750=3450 stamps

In the figure below, the two triangular faces of the prism are fight triangles with sides of length 3, 4, and 5. The other three faces are rectangles. What is the surface area of the prism. 72 sq. units 96 sq. units 84 sq. units 108 sq. units

Answers

The surface area of the prism will be given by:
SA=(surface area of triangles)+(surface area of rectangles)
surface area of triangles=2(1/2*3*4)=12 sq. units

area rectangles
the length of the hypotenuse will be:
c²=a²+b²
c=√(3²+4²)
c=√25
c=5
area=(3*5)+(4*5)+(5*5)=60

Total area=60+12=72 sq. units

Answer: 72 sq. units

The revenue, in dollars, of a company that produces jeans can be modeled by 2x2 + 17x – 175. The cost, in dollars, of producing the jeans can be modeled by 2x2 – 3x – 125. The number of pairs of jeans that have been sold is represented by x. The profit is the difference between the revenue and the cost, 20x – 50. If 75 pairs of jeans are sold, what is the company’s profit?

Answers

Revenue: 2x² + 17x - 175
Cost: 2x² - 3x - 125
Profit: 20x - 50

Profit = Revenue - Cost
Profit = 2x² + 17x - 175 - (2x² - 3x - 125)
Profit = 2x² - 2x² + 17x + 3x - 175 + 125
Profit = 20x - 50

x = 75

profit = 20(75) - 50
profit = 1500 - 50
profit = 1450

Answer:

20x−50; $1,450

Step-by-step explanation:
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