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kvv77 [185]
3 years ago
7

According to the graph, which statement must be true?

Mathematics
1 answer:
Harlamova29_29 [7]3 years ago
7 0
According to the graph, it will take her 3 hours to read 120 pages
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On Tuesday, Stacy rode her bicycle 1 3/4 miles from her house to the supermarket. She walked 1/4 of a mile while at the supermar
Tomtit [17]
From home to Supermarket = 1 3/4 + 1/4
= 7/4 + 1/4 = 8/4 = 2 miles

Back journey = 2 + 2 1/5 = 2 + 11/5 = 21/5

So, total distance = 2 + 21/5 = 31/5

In short, Your Answer would be 31/5 or 6.2 miles

Hope this helps!
5 0
3 years ago
Read 2 more answers
In 5 minutes a conveyor belt moves 300 pounds of receyclable aluminum from the delievery truck a smaller belt moves the same qua
ladessa [460]

Answer:

It will take 3.214 minutes.

Step-by-step explanation:

<em>It is given that, the conveyor belt transports 300 cans in 5 mins and the smaller belt transports 300 cans in 9 minutes.</em>

Thus , the speed of conveyor belt is,

= \frac{300}{5} = 60 cans per minute

and of smaller belt is,

=  \frac{300}{9} = \frac{100}{3} cans per minute

Thus, when both are used together,

<em>conveyor belt will transport (60)(t) cans and smaller belt will transport ( \frac{100}{3})(t) cans per minute.</em>

Thus the equation becomes,

300 = (60)(t) + (\frac{100}{3})(t) = (\frac{280}{3})(t)

t = \frac{(300)(3)}{280} = \frac{45}{14} = 3.214 minutes

3 0
3 years ago
You plan to rent a car from XYZ Car Rental Company for a flat rate of $35 a
vagabundo [1.1K]

Answer:

The piece-wise function is;

f\left (x  \right ) = \begin{cases} \$ 45 \times  x & \text{ if } x \leq 3  \ days \\ \$40 \times x & \text{ if } x > 3 \ days\end{cases}

Step-by-step explanation:

The flat rate for renting the car = $35 per day

The amount charged as insurance fee per day for renting the car for 3 days or less = $10

The insurance fee charged per day when the car is rented for more than 3 days = $5

Let the number of days = x

Therefore, we have;

For x ≤ 3, f(x) = 35 × x + 10 × x = x × (35+10) = 45·x

For x > 3, f(x) = 35 × x + 5 × x = x × (35+5) = 40·x

Therefore;

The charge rate for renting the car for less than or equal to 3 days = 45·x

The charge rate for renting the car for more than 3 days = 40·x

The piece-wise function can be presented as follows;

f\left (x  \right ) = \begin{cases} \$ 45 \times  x & \text{ if } x \leq 3  \ days \\ \$40 \times x & \text{ if } x > 3 \ days\end{cases}

3 0
3 years ago
6root27+root243 simplify
leonid [27]

Answer:

6√27 + √243

6√9 x 3 + √81 x 3  

6 x 3 √3 + 9√3

18√3 + 9√3

27√3

5 0
2 years ago
A sculptor needs to lift a piece of marble.
Dennis_Churaev [7]

Answer:

486kg

Step-by-step explanation:

density = mass / volume

2.7 = m / (100 x 60 x 30)   **** Note the conversion to cm as the density is given in g/cm.

2.7 = m / 180000

m = 486000g

Now convert to mass in kg:

486000 g x 1 kg / 1000 g = 486kg

4 0
3 years ago
Read 2 more answers
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