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irina [24]
3 years ago
13

Name the constant of proportionality for the equation below: y = -2/3 x

Mathematics
1 answer:
worty [1.4K]3 years ago
8 0

Answer:

-\dfrac{2}{3}

Step-by-step explanation:

When variable y is said to be proportional to another variable x, it is written as:

y \propto x

To introduce the equality sign, we introduce what is called the constant of proportionality, say k and write the above as:

y=kx

Comparing the given equation:

y=-\frac{2}{3}x

We can see that our constant of proportionality:

k=-\dfrac{2}{3}

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1 litre is approximately 1.75 pints, 1 gallon = 8 pints, calculate the approcimate number of gallons that are equal to 48000cm3
Umnica [9.8K]

Answer:

10.5\ gal

Step-by-step explanation:

we know that

1,000\ cm^{3} =1\ l

1\ l=1.75\ pints

1\ gal=8\ pints

we have

48,000\ cm^{3}

step 1

Convert to liters

48,000\ cm^{3}=48,000/1,000=48\ l

step 2

Convert to pints

48\ l=48*1.75=84\ pints

step 3

Convert to gallons

84\ pints=84/8=10.5\ gal

7 0
4 years ago
Three poultry farms B1, B2, and B3 supply chicken eggs to the same local market. The market performs some quality testing on the
ipn [44]

Answer:

a. 0.58

b. 0.78

Step-by-step explanation:

a. The probability of egg come from B1 or B2

P(B1) = 3000/10000 = 0.3

P(B2) = 4000/10000 = 0.4

P(P1 ∪ B2) = 0.3 + 0.4 -(0.3)(0.4)

P(P1 ∪ B2) = 0.7 - 0.12

P(P1 ∪ B2) = 0.58

b. The probability that the market received an egg that is acceptable

P(received an egg that is acceptable) = P(B1 acceptable) + P(B2 acceptable) + P(B3 acceptable)

P(received an egg that is acceptable) = 0.80*3000 + 0.90*4000 + 0.60*3000 / 10000

P(received an egg that is acceptable) = 2400 + 3600 + 1800 / 10000

P(received an egg that is acceptable) = 7800 / 10000

P(received an egg that is acceptable) = 0.78

4 0
3 years ago
What is 15 multiplied by t as a numerical or algebraic expression?
Makovka662 [10]

Numerical ==> 15 x t

Algebraic ==> 15t

4 0
3 years ago
If BE bisects _ABD and mŁABE = 28°, find m_ABD.
slamgirl [31]

Answer:

m<ABD = 56 degrees

Step-by-step explanation:

If a segment/ray/line bisects an angle, it divides it into 2 equal parts

Since BE bisects ABD, it will divide it into 2 equal parts, one of which is 28 degrees (given)

Now we can find the measure of ABD by doing 28*2=56

8 0
3 years ago
If ABC and GEF are congruent by the ASA criterion, which pair of angles must be congruent
Aleks04 [339]
The second one is true
4 0
3 years ago
Read 2 more answers
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