Bruce retiled his kitchen. Originally, he bought three boxes of tile with the same number of tiles in each. He ran out of tile and had to go back to get three extra boxes of tile. However, he only used two tiles from the last box to finish the job. Felicia also retiled her kitchen. She bought five boxes of tile, and each box contained the same number of tiles as each of Bruce’s boxes. She also ran out of tile. She had to go back to the store and get five more tiles to finish the job.Is it possible for Bruce and Felicia to have used the same number of tiles? Use complete sentences to explain your reasoning.

Answers

Answer 1

Answer:

Expression for the number of tiles Bruce used: 5x+2

Expression for the number of tiles Felicia used: 5x+5

Step-by-step explanation:

First want you'll want to do is translate the question into something easily understood. So for Bruce, we know that he bought three boxes with the same number of tiles in each, so 3, then he had to buy three more, another 3, but didn't finish the last box only using two, 2. So, we know he completely used the first 3 he bought then 2 of the 3 more boxes he bought.

For boxes completely used we can show it like this: 3+2=5 or 5x to represent the not known number of tiles in each box. Now we have to include the last box he bought, but he only used two tiles out of the whole box so it wouldn't be added to the same number as the other five (so not 6x).

To represent those last two tiles we can simply add +2.

Now putting it all together we get 5x+2

5x is the number of boxes multiplied by unknown number of tiles. so 5x=tiles in 5 boxes. and the 2 is those two tiles that were taken out of the last box.

For Felicia we go through the same process. We know she bought five boxes with the same number of tiles that Bruce had, 5, then bought five more individual tiles (not in a box), 5.

Not too much to do, so we know she got 5 boxes, so now we add our variable to represent the tiles in the boxes. so that 5 becomes 5x. Now with like we did with the two tiles Bruce only used, we do not add the 5 additional tiles into that number (so not 10x).

Because those were individual tiles they are simply 5.

Putting the whole thing together we get 5x+5


Related Questions


What is 0.000000000325 in scientific notation?

Answers

Answer:

3.25*10^-10(is.3.25E−10)

3.25x10^-9

The coefficient must be between  1 and 10The negative exponent means the number is small

Hope it helps!

~Just a joyful teen

[tex]GraceRosalia :)[/tex]

Logan Drew 4 hearts and 27th Circle what is the ratio of circles to all shapes

Answers

Answer:

4:27

Step-by-step explanation:

a guess jebeiiwhjsjshwiid

Rittle - Mary didn't know how to pronounce the name but she knew that she had to go inside to impress her parents, where was she? (giving out the answer in 5 mins. SO HURRY)

Answers

at school i think because i’m so confused

Pepe paid $35.00 for 4 movie tickets. Each ticket cost the same amount. What was the cost of each movie ticket in dollars and cents?

Answers

Answer:

8.75 dollars per ticket

Step-by-step explanation:

Answer: 8.75 dollars per ticket

Step-by-step explanation:

Can someone help me with this?​

Answers

Answer:

they are correct

Step-by-step explanation:

Answer:

317m

Step-by-step explanation:

I am not sure its the perimeter (p) you need because thats what i understood.

p=2(109.7)+2(48.8)=317m

True or False?

VERY STUCK!!! PLEASE HELP!!!!

Answers

Answer:

I'm pretty sure it's True

Step-by-step explanation:

Congruent triangles are triangles that are the same shape and size. Each triangle has the numbers 71, 47, 62 so I'm assuming the answer is True

Hope that helped! Can I also get brainliest? I need a few more to advance, if not thank you anyways and have a nice day!!!

what is the percent of games won if a team won 92 games and lost 58 games?

Answers

Answer:

I think this is it 61.33

Have a blessed day <333

Step-by-step explanation:

8/13×2/6 in its simplest form

Answers

I think it’s 883828282

Answer:

[tex]\frac{9}{39}[/tex]

Step-by-step explanation:

Multiply the two denominators together and the two numerators:

[tex]\frac{8}{13} * \frac{2}{6} = \frac{8 * 2}{13 * 6}[/tex]

[tex]= \frac{16}{78}[/tex]

Divide both numbers by two to simplify:

[tex]\frac{18 / 2}{78 / 2} = \frac{9}{39}[/tex]

So the simplest form is:

[tex]\frac{9}{39}[/tex]

Hope this helps!

the measure of an angle is 14 degrees less then the measure of its complement . Find the measures of the two angles

Answers

Answer:

it would be:

Step-by-step explanation:

: 14 + 14 + 14 =?

:?=42°

Help me on this please it’s due please help me

Answers

Answer:

[tex] < [/tex]

Step-by-step explanation:

[tex] < [/tex]

The answer is < (more than)

[tex]\sf 300+200+200[/tex]

Answers

Step-by-step explanation:

300+200+200 = 700.

so simple

hope this helps you.

Which of the following best represents the solution to this system (3x+2y<2

Answers

Answer:

y < (2 - 3x)/2.

Step-by-step explanation:

(3x+2y)<2

2y < 2 - 3x

y < (2 - 3x)/2

work out x when the area is root 4 2^2 and angle C is 45 and ab are (x+2)(2x-3)

Answers

Answer:

x = 3.08

Step-by-step explanation:

Area formula:

A = 1/2bh

The height is:

h = (x + 2)sin 45° =  (x + 2) ×√2/2

Substitute the value for area and set equation:

4√2 = 1/2 ×  (2x - 3) × √2(x + 2)/2(2x - 3)(x + 2) = 162x² + x - 6 = 162x² + x - 22 = 0D = 1 + 4*2*22 = 177x = (-1 + √177)/4 = 3.08 (rounded)    

Note the second root ignored as negative

Answer:

x = 3.08  (3 s.f.)

Step-by-step explanation:

Area of a Triangle (using sine)

 [tex]\sf Area=\dfrac{1}{2}ac \sin B[/tex]

where:

a and c are adjacent sidesB is the included angle

Given:

Area = 4√2 m²a = (2x - 3) mc = (x + 2) mB = 45°

Substitute the given values into the formula:

[tex]\implies 4\sqrt{2}=\dfrac{1}{2}(2x-3)(x+2) \sin 45^{\circ}[/tex]

[tex]\implies 8\sqrt{2}=(2x-3)(x+2) \sin 45^{\circ}[/tex]

[tex]\implies 8\sqrt{2}=(2x-3)(x+2) \left(\dfrac{\sqrt{2}}{2}\right)[/tex]

[tex]\implies 8\sqrt{2}\left(\dfrac{2}{\sqrt{2}}\right)=(2x-3)(x+2)[/tex]

[tex]\implies (2x-3)(x+2) =16[/tex]

[tex]\implies 2x^2+4x-3x-6=16[/tex]

[tex]\implies 2x^2+x-22=0[/tex]

Use the Quadratic Formula to solve for x:

[tex]x=\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}\quad\textsf{when }\:ax^2+bx+c=0[/tex]

[tex]\implies a=2, \quad b=1, \quad c=-22[/tex]

[tex]\implies x=\dfrac{-1 \pm \sqrt{1^2-4(2)(-22)} }{2(2)}[/tex]

[tex]\implies x=\dfrac{-1 \pm \sqrt{177}}{4}[/tex]

[tex]\implies x=3.08, -3.58\:\: \sf (3 \:s.f.)[/tex]

As distance is positive:

[tex]\implies x=3.08 \:\:(3 \sf \:s.f.) \:\textsf{only}[/tex]

Math need help one question

Answers

Answer: Multiply the second equation by -2

Explanation:

The elimination method requires you to set one variable in an equation to be the opposite of that variable in another equation.  As such, due to the presence of 2x in the top equation, you need -2x in the bottom.  Then, simply add the equations to get the answer.

Hope it helps :)

What is the answer? Thank you so much

Answers

C, basically what the person above me said, the exponent means you multiply that number by itself however many times the exponent says, so if it’s 3 you’d multiply it together 3 times

help ME PLEASE FAILING GEOMETRY!

Answers

4) a. a//b
5) c. Alternate Exterior

How long would it take eight lumberjacks to chop down eight trees at the same rate?

Answers

Answer:

4 hours

Step-by-step explanation:

It take them 1.5 h ÷ 0.5 h to chop down 1 tree, so it would take 0.5 h × 8 = 4 hours to chop down 8 trees

Mental Math Using the slope​ formula, find the slope of the line through the points and . Use pencil and paper. Explain how you can use mental math to find the slope of the line. slope is 0,0 and 2,4

Answers

Answer:Slope is 2, assuming "0,0 and 2,4" is meant to read (0,0) and (2,4) for the 2 points.

Step-by-step explanation:

The slope is the Rise (change in y) over the Run (change in x).  I can see the change in y is 4 (it goes from 0 to 4) and the change in x for this interval is 2 (goes from 0 to 2, or 2-0 = 2).  Rise (4) over Run (2) is slope 2.  4/2 = 2 slope.

Can someone help me on this I’m struggling a lot

A) 2/16

B) 5/8

C) 6/8

D) 1/3

Answers

B : 5/8 because 1/2+1/8 = 5/8

Answer:

B) 5/8

Step-by-step explanation:

Because we are working with fractions that have different denominators, we need to find the lowest common denominator, which would be 8, because 1/8 cannot be divided anymore in 2 or 4, but 1/2 can be multiplied in eighths.

So, to make 1/2 into eighths, we have to multiply both the numerator and denominator by 4 in order for 2 to become 8:

1/2 * 4 = 4/8

Now, we can add the amounts of the total granola bar that he consumed:

4/8 + 1/8 = 5/8

Because 5/8 cannot be simplified any further, that is our final answer.

Hope this helps :)

free question
A certain shade of pink is created by adding 3 cups of red paint to 7 cups of white paint.
How many cups of red paint should be added to 1 cup of white paint?

Answers

Answer:

3/4 I think its that

Step-by-step explanation:

its a guess

hii! could someone please help with a legit answer 'n explanation? Im soo confused. thank you so much!

Answers

Answer:

First part = 2.

Time to land = 6 seconds.

Step-by-step explanation:

The object is at h = 0 when it land so

-5x^2 + 20x + 60 = 0

-5(x^2 - 4x)  = -60

-5[(x - 2)^2 - 4] = -60

(x - 2)^2 - 4 = -60/-5 = 12

(x - 2)^2 = 16.

Solving the above:

Take the square root of both sides:

x - 2 = 4

x = 2 + 4

x = 6 seconds

Complete the following products.

1. (x - y) (x² + xy + y²)
= (__) x² + (__) xy + (__) y²
= __ - x²y + x²y - xy² + __ - y³
= x³ - __​

Answers

1. (x - y) (x² + xy + y²)

= (X )x² + (X ) xy + (y) y²

= ( x^3)- x²y + x²y - xy² +(xy^2) - y³

= x³ -y^3

Here is your answer !

Plz mark me brainest

SCALENE


EQUILATERAL


ISOSCELES

Answers

Answer:

Isosceles triangle

Step-by-step explanation:

An isosceles triangle is a triangle with 2 equal sides, and in this given figure, we can see that it has been marked to show us that two sides are equal, so isosceles is the answer.

Answer:

isosceles triangle

Step-by-step explanation:

From the picture, we know that two sides are equal.

If two sides are equal, then it is an isosceles triangle

If Rosa walks 3 miles in 40 minutes, then Rosa will walk how far in 70 minutes if she walks at the same
speed the whole time? If necessary, round your answer to the nearest tenth of a mile.
miles.

Answers

Answer:

5.25 miles.

Step-by-step explanation:

1) Rosa spends 10 minutes in 3/4=0.75 miles, then

2) Rosa can spend 70 in 0.75*7=5.25 miles.

Answer:

5.3 miles

Step-by-step explanation:

3miles/40min =x miles/70min

cross multiply the fractions

3*70 = 40*x

210=40x

divide by 40 on both sides

210/40 = 5.25

what is the volume of the prism?

Answers

Answer:

Step-by-step explanation:

h = 3 ft

l*b = 25 sq.ft

Volume = l*b *h

             = 25 * 3

             = 75 cubic feet

Answer:

75ft

Step-by-step explanation:

First you mupilply  [tex]25 x 3 = 75ft[/tex]

and that is it.

The polynomial of degree 5, P(2), has leading coefficient 1, has roots of multiplicity 2 at x = 4 and
x = 0, and a root of multiplicity 1 at 3 3.
Find a possible formula for P(x).
P(x)

Answers

Answer:

[tex]P(x)=x^{5} +x^{4} -5x^{3} +3x^{2}[/tex]

Step-by-step explanation:

Each root corresponds to a linear factor, so we can write:

[tex]P(x)=x^{2} (x-1)^{2} (x+3)\\=x^{2} (x^{2} -2x+1(x+3)\\\\=x^{5} +x^{4} -5x^{3} +3x^{2}[/tex]

Any polynomial with these zeros and at least these multiplicities will be a multiple (scalar or polynomial) of this [tex]P(x)[/tex]

Footnote

Strictly speaking, a value of [tex]x[/tex]  that results in [tex]P(x)=0[/tex] is called a root of  

[tex]P(x)=0[/tex] or a zero of [tex]P(x)[/tex] . So the question should really have spoken about the zeros of [tex]P(x)[/tex]  or about the roots of [tex]P(x)=0[/tex]

four hundred five times seventy

Answers

Answer:

Step-by-step explanation:

28350, two thousand and eight, three hundred and fifty

Answer:

28350

Step-by-step explanation:

the net force on a
rock with a mass of 20 kg is
196 N. What is the accelera-
tion of the rock?

Answers

w=mass x acceleration
196 N= 20a
a=9.8

2. Find the perimeter of a rectangle of
Length 13m with an area of 65m

Answers

Answer:

Perimeter = 36m

Step-by-step explanation:

Area = l x w

65m = 13m x w

5m = w

Perimeter = 2(l + w)

Perimeter = 2(13m + 5m)

Perimeter = 36m

Answer:

36m

Step-by-step explanation:

The equation for the area of a rectangle is A = w*l, where w = width and l = length

Since we already have the area and the width, we can plug those values into the equation to find the width (w)

A = w*l

65 = w*13

we can divide both sides by 13 to isolate the w variable, and we get that

w = 5

The equation for the perimeter of a rectangle is

P = 2(l +w)

P = 2(13 +5)

P =36

The perimeter is 36m

0
1
2.
3
у
8
1
-6
-13
What is an equation that describes the relationship?

Answers

always lovingalways sharingalways helpingalways beautiful and amazing

Step-by-step explanation:

that only know

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