All categories

3 years ago

Margo can purchase tile at a store for $0.79 per tile and rent a tile saw for $24. At another store she can borrow the tile saw

for free if she buys tiles there for $1.19 per tile. How many tiles must she buy for the cost to be the same at both stores?

Mathematics

1 answer:

Monica [59]3 years ago

4 0

$0.79 t + 24 =1.19t \\ \\ 1.19t - 0.79t =24 \\ \\ 0.4t =24 \\ \\ t =60 \\ \\ \\ \sf So, ~if~he~buys~60~tiles, ~then~the~price~will~be~the~same.$

You might be interested in

Write the equation of the line that passes through the points (−4,1) and (−9,5). Put your answer in fully reduced point-slope fo

valina [46]

Step-by-step explanation:

gradient(m)=change in y/change in x

=5-1/-9-(-4)

=4/-9+4

=4/-5

equation now

y-y1=m(x-x1)

y-1=4/-5[x-(-4)]

y=4/-5(x+4)+1

y=-4/5x-16/5+1

y=-4/5x-21/5

3 0

3 years ago

Read 2 more answers

A local department store sells carpet in 4 sizes. Each carpet comes in 3 different qualities. One of the sizes comes in 5 colors

e-lub [12.9K]

Answer:

23.

Step-by-step explanation:

You would multiply the 4 sizes of carpet by the 3 qualities, which equals 12. Then, you add 5+2+2+2. So it would end up being 12+11.

3 0

3 years ago

Please help I don't understand this at all

valentina_108 [34]

Answer:

The answer is 48in

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

HI ANYONE PLEASE HELP ME IF YOU CAN,

8090 [49]

Answer:

The fraction 7/8 is really close to 1 , so Yvonne could estimate that she needs approximately 6 yards of fabric per dress. So, to make 5 dresses, she would need approximately 30 yards.

Step-by-step explanation:

I'm not entirely sure, but 7/8 is very close to a whole, so this is what I would assume.

8 0

3 years ago

Based on the Fundamental Theorem of Algebra, how many complex roots does each of the following equations have? Write your answer

Galina-37 [17]

According to the fundamental theorem of algebra, <span>every polynomial of degree n has n complex zeroes.

Part A:

Given

$x(x^2-4)(x^2+16)=0 \\ \\ \Rightarrow x(x^4+12x^2-64)=0 \\ \\ \Rightarrow x^5+12x^3-64x=0$

Thus, the given polynomial is of degree 5 and hence has 5 omplrex roots.

Part B:

Given

$(x^2+4)(x+5)^2 = 0 \\ \\ \Rightarrow(x^2+4)(x^2+10x+25)=0 \\ \\ \Rightarrow x^4+10x^3+25x^2+4x^2+40x+100=0 \\ \\ \Rightarrow x^4+10x^3+29x^2+40x+100=0$

Thus, the polynomial is of degree 4 and hence has 4 complex roots.

Part C:

Given

$x^6-4x^5-24x^2+10x-3=0$

Thus, the given polynomial is of degree 6 and hence has 6 complex roots.

Part D:

Given

$x^7+128=0$

</span><span>Thus, the given polynomial is of degree 7 and hence has 7 complex roots.</span>

Part E:

Given

$(x^3+9)(x^2-4)=0 \\ \\ \Rightarrow x^5-4x^3+9x^2-36=0$

Thus, the given polynomial is of degree 5 and hence has 5 complex roots.

4 0

3 years ago