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igor_vitrenko [27]
3 years ago
14

The price of bananas can be determined by the equation P=0.25n, where P is the price and n is the number of bananas. What is the

constant of proportionality (unit rate)?
Mathematics
1 answer:
Lera25 [3.4K]3 years ago
8 0

Given:

The price of bananas can be determined by the equation P=0.25n, where P is the price and n is the number of bananas.

To find:

The constant of proportionality

Solution:

We have,

P=0.25n       ...(i)

where P is the price and n is the number of bananas.

Price P is directly proportional to the number of bananas. So,

P\propto n

P=kn            ...(ii)

Where, k is the constant of proportionality.

On comparing (i) and (ii), we get

k=0.25

Therefore, the constant of proportionality is 0.25.

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Which of the following are mathematical sentences? Check all that applu
irina1246 [14]

Answer:

The correct options are:

A, B, and E.

Step-by-step explanation:

A mathematical sentence (or a mathematical statement) is a sentence that can be true or false.

This is the only criteria we need to check, now let's analyze each option.

A: 4 - d = 12

This can be true or false, for example, if d = 0 the sentence is false because:

4 - 0 = 12

4 = 12 is false.

and if d = -8 the sentence is true, because:

4 - (-8) = 12

4 + 8 = 12

12 = 12

is true.

B: 4 - V > 2

This sentence can be true or false, same reasoning as before, we can find values of V such that this is true or false.

C: 3 + 2

Now, here we can't say if this is true or false, so this is not a mathematical sentence.

D: 59

Same as before, this is just a number.

E: 6 + a = 13

This can be true or false, depending on the value of a, then this is a mathematical sentence.

F: 12*x

Here we can not say if this is true or false, so this is not a mathematical sentence.

The correct options are:

A, B, and E.

5 0
3 years ago
what is the length of the longest side of a triangle that has the vertices (2, 6), (-4, 6), and (-4, 4)? a. 2/10 units b. 40 uni
rewona [7]
Length (2, 6) to (-4, 6) is sqrt((x2 - x1))^2 + (y2 - y1)^2) = sqrt((-4 -2)^2 + (6 - 6)^2) = sqrt((-6)^2 + 0) = 6

Length (2, 6) to (-4, 4) is sqrt((-4 - 2)^2 + (4 - 6)^2) = sqrt((-6)^2 + (-2)^2) = sqrt(36 + 4) = sqrt(40)  = 2sqrt(10) units

Length (-4, 6) to (-4, 4) is sqrt((-4 - (-4))^2 + (4 - 6)^2) = sqrt(0^2 + (-2)^2) = 2

Therefore, the length of the longest side is 2sqrt(10) units
4 0
3 years ago
A lumber company had 4 bundles of wood (12 pieces total). What is the rate of pieces per<br> bundle?
slamgirl [31]

Answer:

There are three pieces per bundle.

5 0
3 years ago
Jeremi is interested in healthy living, fitness and nutrition. He wants to make sure sugar makes up less than 10% of his food ea
Yuri [45]
This is the concept of arithmetic:
fraction of:
Protein+healthy fats=1/2
carbohydrates=2/3×1/2=1/3
sugary treats=1-(1/3+1/2)= 1/6
thus the percentage of sugary treats in the current diet will be:
(fraction of sugary treats)×(percentage of the diet)
=1/6×10
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5 0
3 years ago
Read 2 more answers
You want to deposit $1000 in a savings account for 3 years. One bank
Butoxors [25]

Answer:

2nd bank

Step-by-step explanation:

bank one:10*2=(20*3=60)

                $1000+$100+$60=$1160

                total after 3 years = $1160

bank two:$10*6=(60*3=180)

                 $1000+$180=$1180

                total after 3 years = $1180

4 0
3 years ago
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