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Readme [11.4K]
3 years ago
5

Write a ratio for each phrase : 5 cupcakes for every 2 children

Mathematics
1 answer:
Pani-rosa [81]3 years ago
3 0
5/2
....................
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Complete the sentences below based on the graph of the function.<br><br> Please help!
Gnom [1K]

Answer:

  • 20 km
  • 20 km/h
  • 5 km/h

Step-by-step explanation:

We assume the graph is a plot of Sean's distance from home as he drives to work, works 8 hours, then drives home with a 2-hour stop along the way. It also appears that t is measured in hours after midnight.

The graph shows Sean's distance from home between 9 a.m. and 5 p.m. (t=17) is 20 km. Based on our assumptions, ...

  Sean's workplace is located 20 km from his home.

__

Speed is the change in distance divided by the change in time. Between 8 a.m. and 9 a.m. Sean's position changes by 20 km. His speed is then ...

  (20 km)/(1 h) = 20 km/h

  Sean's speed driving to work was 20 km/h.

__

Between 5 p.m. (t=17) and 7 p.m. (t=19), Sean's position changes from 20 km to 10 km from home. That change took 2 hours, so his speed was ...

  (10 km)/(2 h) = 5 km/h

  Sean's speed between 5 p.m. and 7 p.m. was 5 km/h.

_____

<em>Additional comment</em>

The units of speed (kilometers per hour) tell you it is computed by dividing kilometers by hours. ("Per" in this context means "divided by".)

While the slope of the line on the graph between 5 p.m. and 7 p.m. is negative, the speed is positive. The negative sign means Sean's speed is not away from home, but is toward home. When the direction (toward, away) is included, the result is a vector called "velocity." Speed is just the magnitude of the velocity vector. It ignores direction.

7 0
3 years ago
Which line passes through the point (2, -1)
adoni [48]
It’s C because
3*2 - 2* -1 =8
6+2=8
8=8
8 0
3 years ago
What must be true of two rational expressions before they can be added?
VladimirAG [237]

Answer:

They most have common denominators.

Step-by-step explanation:

Let the following two rational expressions:

\frac{p}{a}  , \frac{q}{b}

where p,a,q, b are integers, a and b the denominators are not 0, i.e. a,b\neq 0

We can add rational expressions only if their denominator is same.

That is why we find LCD to be ab.

Then,

\frac{p}{a} +\frac{q}{b} =\frac{pb+qa}{ab}

Let the following two rational expressions:

\frac{p}{a}  , \frac{q}{b}

where p,a,q, b are integers, a and b the denominators are not 0, i.e. a,b\neq 0

We can add rational expressions only if their denominator is same.

That is why we find LCD to be ab.

Then,

\frac{p}{a} +\frac{q}{b} =\frac{pb+qa}{ab}

So, the correct answer is the last option that we can sum rational expressions if they have common denominator.

3 0
3 years ago
Four different sets of objects contain 2, 5, 6, and 7 objects, respectively. How many unique combinations can be formed by picki
mario62 [17]
The correct answer for the question that is being presented above is this one: "A. 960."<span>Four different sets of objects contain 2, 5, 6, and 7 objects, respectively. 
</span>
= 2 * 5 * 6 * 7
= 960

Here are the following choices:
A. 960 
<span>B. 141 </span>
<span>C. 23 </span>
D. 529
3 0
3 years ago
Read 2 more answers
Is 9 a possible solution for -2x + 4 ≥ -14?
konstantin123 [22]

Answer:

Yes

Step-by-step explanation:

-2(9)+4= -14  and -14 is equal to -14.

6 0
3 years ago
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