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allochka39001 [22]
3 years ago
8

A box of cereal states that there are 75 calories in a 34-cup serving. What is the unit rate for calories per cup? How many calo

ries are there in 4 cups of the cereal?
Mathematics
2 answers:
xeze [42]3 years ago
8 0
The unit rate is how many calories are in 1 cup of cereal.
Set up a proportion:
\frac{75 cal}{3/4 cup} = \frac{X cal}{1 cup}
Cross multiply and solve:
\frac{3}{4} X = 75\\ 3X=300\\X=100
There are 100 calories per cup of cereal.

To get the calories in 4 cups of cereal, simply multiply the unit rate of 100cals/cup by 4.
100*4=400
There are 400 calories in 4 cups of cereal.
I am Lyosha [343]3 years ago
8 0
Who is eating 34 cups of cereal?! 75 calories! seriously!
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Find all of the points of the form (x, −x) which are 7 units from the origin.
Morgarella [4.7K]

Answer:

  • (-7, 0) and (7, 0)

Step-by-step explanation:

<u>All the points that are 7 units from the origin are on the circle:</u>

  • x² + y² = 7²

<u>The maximum and minimum values of x obtained when y = 0:</u>

  • x² = 7²
  • √x² = √7²
  • x = ± 7

So

  • min x = -7 and
  • max x = 7

<u>The points are:</u>

  • (-7, 0) and (7, 0)
3 0
3 years ago
Read 2 more answers
A North American river otter wants to cross the North Saskatchewan river. It can swim at a speed of 2.75 m/s. In that location,
insens350 [35]

Answer:

Step-by-step explanation:

time to cross will be the distance divided by the velocity in that direction.

a) t = d/v = 45/2.75 = 16.363636... 16.4 s

In the same time that the otter is swimming cross stream, the stream is also moving perpendicularly at its own pace.

b) d = vt = 2.5(16.36) = 40.9090... 40.9 m

As velocity is a vector, An observer on the bank would see the velocity as the vector addition of the cross stream and down stream velocities

c) v = √(2.75² + 2.5²) = 3.716517... 3.72 m/s  magnitude

  θ = arctan2.5/2.75 = 42.2736... 42.3° downstream of a line straight across

7 0
3 years ago
3+2x+x-1=2x+x-2<br> answer?
konstantin123 [22]
It’d be 2=-2 ... but then subtract two from both side and the answer is a null set. Also known as “no solution”..

Best of luck in your studies :)
-Nicky
8 0
3 years ago
You have a spinner with the following colors 2 yellow, 4 red, and 2 orange. What is the likelihood of the spinner landing on YEL
crimeas [40]
Unlikely
ur chance of landing on yellow is 2/8
6 0
2 years ago
Read 2 more answers
use the explicit formula an = a1 + (n - 1) * d to find the 500th term of the sequence below. 24,30,36,42,48,... A. 3018 B. 3042
marishachu [46]

Answer:

Option A.

Step-by-step explanation:

The given sequence is  

24, 30, 36, 42, 48, ...

It is an AP. Here,  

First term = 24

Common difference = 30-24 = 6

The given explicit formula for nth term is

a_n=a_1+(n-1)d

where, a_1 is first term, d is common difference.

Substitute a_1=24, d=6 \text{ and }n=500 in the above formula.

a_{500}=24+(500-1)(6)

a_{500}=24+(499)(6)

a_{500}=24+2994

a_{500}=3018

The 500th term of the sequence is 3018.

Therefore, the correct option is A.

3 0
3 years ago
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