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3 years ago

Determine whether y varies directly with x. If so, find the constant of variation and write the equation.

Mathematics

1 answer:

kotykmax [81]3 years ago

6 0

Answer: B. No

Step-by-step explanation:

Direct variation has the following form:

$y=kx$

Where the constant of variation is "k".

By definition, in direct variation, when the variable "x" changes, tha variable "y" changes in proportion to the variable "x".

As you can observe in the table, when the value of the variable "x" increase, the values of the variable "y" decrease, therefore we can conclude that it is not a direct variation.

Then the answer is the option B.

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At a farmers' market Saturday, 5/8 of the vegetables sold were green. Of these, 3/4 were string beans. What fraction of the vege

Dennis_Churaev [7]

Answer: 15/32

Step-by-step explanation:

The data that we have is:

5/8 of the vegetable sold where green.

of theses 5/8, 3/4 were string beans.

Then the 3/4 is applied to the 5/8 of green vegetables.

Then the fraction (of the total number of vegetables) that were string beans was:

F = (3/4)*(5/8) = (3*5)/(4*8) = 15/32

3 0

3 years ago

1.)24:56=X:46

Usimov [2.4K]

Answer:

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Step-by-step explanation:

8 0

3 years ago

I didn’t learn to do this please help

Naddika [18.5K]

Find the area of the blue square including the white square then find the area of the white square and subtract that from the area of the blue square.

Hope that helps if you need more help just comment and I’ll try to explain it better!

4 0

3 years ago

A school bus during morning pickups to calculate its average speed between 2.8 km and 4.2 km.

kifflom [539]

Answer:

Option (c)

The average speed between 2.8 km and 4.2 km is 42 km/h

Explanation:

Given, the distance between 2.8 km and 4.2 km is 4.2 - 2.8 = 1.4 km

Time (in hours) between 2.8 km and 4.2 km

= 0.084 – 0.051

= 0.033 hr

Speed = $\frac{Distance}{Time}$

Speed = $\frac{1.4}{0.033}$

Speed = 42.4 km/hr = 42 km/h (rounded to nearest)

Therefore, the average speed between 2.8 km and 4.2 km is 42 km/hr

Hence, Option (C) is correct

4 0

3 years ago

URGENT PLEASE HELP!!!! GIVING BRAINLIEST!! If you answer this correctly ill answer some of your questions you have posted! (39pt

Musya8 [376]

Answer:

ΔMNO= 90°, m = 7.316 cm, n = 16.69 cm

Step-by-step explanation:

The little square in the corner tells you that the angle is 90°

Calculating the length of m

We know that the Tangent of an angle is gotten by dividing the opposite side by the adjacent side, i.e,

Tan Ф = Opposite ÷ Adjacent

hence:

Tan 26° = m ÷ 15

0.4877 = m / 15

make m the subject and multiply both sides by 15

0.4877 × 15 = m / 15 × 15

7.3155 = m

∴ m = 7.316 cm

Calculating the length of n

For this we can use the Pythagoras theorem that states, a² + b² = c² where m = a, b = 15 cm and c = n. Hence:

7.316² + 15² = c ²

53.52 + 225 = c ²

278·52 = c ²

c = √278·52

c = 16.69

∴ n = 16.69 cm

We could also use the Cosine of ΔOMN to get length n i.e,

The Cosine of an angle is equal to the adjacent side divided by the hypotenuse.

Cosine Ф = Adjacent ÷ Hypotenuse

Cosine 26° = 15 cm ÷ n

0.8987 = 15 / n

Make 15 the subject and multiply both sides by n

0.8987 × n = 15 / n × n

0.8987 n = 15

Divide both sides by 0.8987

0.8987 n ÷ 0.8987 = 15 ÷ 0.8987

∴ n = 16.69 cm

Hope this helps!

8 0

3 years ago