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Novay_Z [31]
3 years ago
12

Joseph cycled a distance of 4 miles in 45 minutes. What is the unit rate at which Joseph was cycling?

Mathematics
1 answer:
____ [38]3 years ago
8 0
Because
rate = distance/time
r = \frac{4 miles}{45 minutes}
so it would be
r = \frac{4}{45} miles per minute

Or if it was miles per hour:
\frac{4}{45} =  \frac{x}{60}
Cross multiplication gives us
45x = 240
\frac{16}{3} mph

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Six times a number equals 3 times the number, increased by 12. Find the number
tino4ka555 [31]

Answer:

x=4

Step-by-step explanation:

"A number" can be rewritten as X:

6x=3x+12

1) subtract 3x on both sides:

3x=12

2) divide both sides by 3:

x=4

4 0
3 years ago
The sum of two numbers is 35.
LUCKY_DIMON [66]

Answer:

Larger number(x)=20

Step-by-step explanation:

They're saying that the larger number 3 times is EQUAL(the same) to 4 times the smaller number.

The smallest number=35-x.

The larger number= x.

3 times the larger number=3x

4 times the smaller number=4(35-x)

Now, input it into an equation and solve:

3x=4(35-x) Distribute by multiplying 4 with 35 and x.

3x+4x=140-4x+4x Get 140 by itself by adding 4x.

7x/7=140/7 Divide.

x=20

Since x= the larger number, x=20.

8 0
3 years ago
A farmer has a collapsable grain bag which can expand both vertically and horizontally as he needs it to. He wants to find a fun
bija089 [108]

Answer:

3x^{3}+15x^{2}+x+5

Step-by-step explanation:

We are told that the area of the bag can be represented by the function f(x)=3x^{2} +1 and as the bag is raised up its height can be represented by the function g(x)=x +5.

Since we know that we can find volume of cuboid by multiplying base area to its height. We are given area and height of bag as functions. Now we will find volume of the bag by multiplying these functions.  

\text{Volume of collapsible bag}=f(x)*g(x)  

\text{Volume of collapsible bag}=(3x^{2}+1)*(x +5)

After using distributive property we will get,

\text{Volume of collapsible bag}=3x^{2}(x+5)+1(x+5)

\text{Volume of collapsible bag}=3x^{3}+15x^{2}+x+5

Therefore, the collapsible bag can hold 3x^{3}+15x^{2}+x+5 grain.

6 0
3 years ago
Write an algebraic expression for the situation.<br><br> 3.2 less than a number m
DochEvi [55]

Answer:

m - 3.2

Step-by-step explanation:

3 0
3 years ago
2x-y-z=4, -x+2y+z=1, 3x+y+z=16. Please help
tangare [24]
1. X=2+1/2y+1/2z

2. X=-1+2y+z

3. X=16/3-1/3y-1/3z
6 0
3 years ago
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