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Lelechka [254]
3 years ago
13

Margo can purchase tile at a store for $0.89 per tile and rent a tile saw for 40. At another store she can borrow the tile saw f

or free if she buys tiles there for $1.69 per tile. How many tiles must she buy for the cost to be the same at both stores?
Mathematics
1 answer:
Dmitriy789 [7]3 years ago
5 0

Answer:

50 tiles.

Step-by-step explanation:

The difference between the price of the two different tiles is 1.69-0.89=$0.80. Dividing the $40 that the tile saw costs by this difference, you get 50 tiles. PM me if you have more questions! Hope this helps.

You might be interested in
the length of a rectangle is 3 feet more than twice the width. if the width is increased by four feet the perimeter of the new r
densk [106]

Answer:

The area of the original rectangle  = 189 sq ft.

Step-by-step explanation:

Let, the width of the rectangle = m feet

So, the length of the rectangle =  (2 m + 3)  ft

Now, new width w'  = (m + 4)

Perimeter of new rectangle (P')   = 68 ft

Perimeter of a rectangle = 2 (LENGTH + WIDTH)

⇒68 ft   = 2( L + W')  

or, 68 ft   = 2 [( 2m + 3) + (m + 4)]

or, 2 (3m + 7)  = 68

or, 3m + 7 = 68/2  = 34

⇒ 3m = 34 - 7 = 27

⇒ m = 27/3 = 9

or, m = 9 ft

Hence, the original width  of the rectangle =  9 ft

Original Length of the rectangle = 2m  + 3  = 2(9) + 3 = 21 ft

Now, Area of the Rectangle = LENGTH X WIDTH

=  21 ft  x  9 ft  = 189 sq ft

Hence,the area of the original rectangle  = 189 sq ft.

5 0
3 years ago
If a bus driver leaves her first stop by 7:00 a.M., her route will take less than 35 minutes. If she leaves after 7:00 a.M., she
nata0808 [166]

Answer:

r < 35 or r ≥ 43

Step-by-step explanation:

We are told that when the bus driver leaves her first stop by 7:00 a.m., her route will take less than 35 minutes.

Since the time it takes to drive the route is r, then;

r < 35

Also, If she leaves after 7:00 a.M., she estimates that the same route will take no less than 43 minutes. Thus;

r ≥ 43

Thus;

r < 35 or r ≥ 43

8 0
3 years ago
Question 4 (1 point)
Nostrana [21]

Answer:

The ball will hit the ground at 10 seconds and its maximum height is 1024 feet.

Step-by-step explanation:

Height of a mountain, h = 90 feet

Upward velocity of a ball, u = 64 ft/s

Its height as a function of time can be written by using the second equation of motion as follows :

f(x) = -16t^2 + 64t + 960 .....(1)

When it will hit the ground, f(x) = 0

-16t^2 + 64t + 960=0\\\\16(-t^2+4t+60)=0\\\\-t^2+4t+60=0

It is quadratic equation.

t = -6 s and t = 10 s

Neglecting -6 seconds, the ball will hit the ground at 10 seconds.

For maximum height,

Put f'(x) = 0

-32t+64=0\\\\\\t=\dfrac{64}{32}\\\\t=2\ s

Put t = 2 in equation (1)

f(2) = -16(2)^2 + 64(2) + 960\\\\=1024\ \text{feet}

Hence, the ball will hit the ground at 10 seconds and its maximum height is 1024 feet.

5 0
3 years ago
Neeed Help ASAP Quick
Andrew [12]

Answer:

4; 7

Step-by-step explanation:

Small box = 25 and Large box = 50

small box = x and large box = x+3

25x+50(x+3)=450

25x+50x+150=450

75x=300

x=4

Large box = 4+3 = 7

Therefore, 4; 7

I hope this helped and have a good rest of your day!

3 0
3 years ago
After a lesson on exponents, Tia went home and said to her mom " I learned that 10 to the 4th power is the same as 40,000." She
Burka [1]

Answer:

The answer is "10,000".

Step-by-step explanation:

In the 10^4 can be written as  10 exponents 4, which is not equal to 40,000. Tia's opinion was incorrect because the exponential shows how much they multiply that base number.  

Let's explain :

\to  10^4 = 10 \times 10 \times 10 \times 10 \\

          =10,000

5 0
3 years ago
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