Will mark brainliest plz help asap <3

At the bargain store , Tanya bought 3 items that each cost the same amount. Tony bought 5 items that each cost the same amount b

Afina-wow [57]

Answer:

"Tanya bought 3 items that each cost the same amt"

"Let x represent the cost of one of Tanya's items"

So, Tanya bought 3 items, costing x+x+x = 3x

Note that (number of items)*(cost per item) = (number of items)*(cost/item) = cost, [item cancels out]

"Tony bought 4 items that each cost the same amt, but each was $2.25 less than the items Tanya bought."

The cost for Tony's items was: (x-2.25)+(x-2.25)+(x-2.25)+(x-2.25) = 4*(x-2.25)

"Tanya and Tony paid the same amt. of money"

This is an equation (the same amount means equals)

Tanya's cost = Tony's cost

a.) Write an equation. Let x represent the cost of one of Tanya's items

3x = 4(x-2.25)

Now, the math:

b.) Solve the equation. Show your work.

3x = 4(x-2.25)

3x = 4x - 9.00 [distributive principle; multiply]

-x = -9.00 [subtract 4x from both sides; option, could instead add 9.00, then subtract 3x from both sides, getting 9.00=x]

x = 9.00 [multiply both sides by (-1)]

[note: to "solve for x" means to find the value(s) of x that make the equation true,

so let's see if it is true --]

c.) Check your solution. Show your work.

Is 3x = 4(x-2.25), when x=9.00 ?

3(9.00) = 4(9.00-2.25) ?

27.00 = 36.00 - 9.00 ?

27.00 = 27.00 ?yes

d) State the solution in a complete sentence.

The problem started with: "Tanya bought 3 items that each cost the same amt. Tony bought 4 items that each cost the same amt, but each was $2.25 less than the items Tanya bought. Both Tanya and Tony paid the same amt. of money."

I would write: "Tanya bought 3 items, each costing $9.00. Tony bought 4 items, each costing $6.75. Tanya and Tony each paid $27.00."

Step-by-step explanation:

6 0

4 years ago

Read 2 more answers

Aaron ate 5/6 of his sandwich at lunch. Colin ate 2/3 of his sandwich. did the two boys eat the same amount? Explain

Nady [450]

No. Aaron ate more because 5/6 is a larger fraction than 2/3.

7 0

3 years ago

Read 2 more answers

GS

mina [271]

Add me on Insta Chief

4 0

3 years ago

John was visiting four cities that form a rectangle on a coordinate grid at A(0, 4), B(4, 2), C(1, -4) and D(-3, -2). What is th

allsm [11]

Answer:

$Area = 30$

Step-by-step explanation:

Given

Rectangle coordinates

$A = (0,4)$

$B = (4,2)$

$C = (1,-4)$

$D =(-3,-2)$

Required

The area of the rectangle

The area is calculated as:

$Area = Length* Width$

The length of the rectangle will be represented as:

$Length = AB = CD$

And the width is:

$Width = BC = AD$

Calculate distance AB using:

$AB = \sqrt{(x_1 - x_2)^2 +(y_1 - y_2)^2 }$

Where:

$A = (0,4)$ --- $(x_1,y_1)$

$B = (4,2)$ $--- (x_2,y_2)$

$AB = \sqrt{(0 - 4)^2 +(4 - 2)^2 }$

$AB = \sqrt{(- 4)^2 +(2)^2 }$

$AB = \sqrt{16 +4 }$

$AB = \sqrt{20}$

Calculate distance BC using:

$BC = \sqrt{(x_1 - x_2)^2 +(y_1 - y_2)^2 }$

$C = (1,-4)$ $---(x_1,y_1)$

$B = (4,2)$ $--- (x_2,y_2)$

$BC = \sqrt{(1 - 4)^2 +(-4 - 2)^2 }$

$BC = \sqrt{(- 3)^2 +(-6)^2 }$

$BC = \sqrt{9 +36}$

$BC = \sqrt{45}$

So, the area is:

$Area = Length * Width$

$Area = AB * BC$

$Area = \sqrt{20} * \sqrt{45}$

$Area = \sqrt{20 * 45}$

$Area = \sqrt{900$

$Area = 30$

4 0

3 years ago

Complete the following proof Given: is the midpoint of , is the midpoint of Prove: =2

Vesnalui [34]

Answer:

Step-by-step explanation:

Statements Reasons

1). M is the midpoint of segment AB 1). Given

B is the midpoint of segment MD

2). AM = MB and MB = BD 2). Definition of midpoint

3). MD = MB + BD 3). Segment Addition Postulate

4). MD = MB + MB 4). Substitution property of of Equality

5). MD = 2MB 5). Simplify

Therefore, if M is the midpoint of segment AB, B is the midpoint of MD then MD = 2MB

5 0

3 years ago