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1 year ago

Which equation show the relationship between the number of hours, X, and the number of bows, y?

Mathematics

1 answer:

Alex73 [517]1 year ago

3 0

The number of hours x and the number of bows y are related by the equation y = 6x.

The rel-ationship between quantities x and y is given by y = kx, where k is the constant of proportion if two quantities are proportional to one another.

The graph of y = kx is a straight line that passes through the origin.

Let k be the constant of proportion.

So, the relation between

The line is passing the number of hours x and the number of bows y is given by y = kx

The line is passing through point (1,6).

Put (x,y) = (1,6) in y = kx

6 = k(1)

k = 6

So,

y = 6x

Hence, the rel-ationship between the number of hours, x, and the number of bows, y is given by y=6x.

To know more about the rel-ationship here

brainly.com/question/15131820

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Does anyone know the answer to -8=16x + 9

vodka [1.7K]

Answer:

x = -17/16

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Step-by-step explanation:

Step 1: Define

-8 = 16x + 9

Step 2: Solve for x

[Subtraction Property of Equality] Subtract 9 on both sides: -17 = 16x
[Division Property of Equality] Divide 16 on both sides: -17/16 = x
Rearrange/Rewrite: x = -17/16

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Substitute in x: -8 = 16(-17/16) + 9
Multiply: -8 = -17 + 9
Add: -8 = -8

Here we see that -8 does indeed equal -8.

∴ x = -17/16 is the solution to the equation.

8 0

3 years ago

Kira new chatted online with all her friends for 2/3 of a hour on Saturday and 1/4 of an hour on Sunday. She chatted with Penelo

raketka [301]

Answer:

$\frac{11}{96}$ of an hour.

Step-by-step explanation:

Given:

Koran new chatted online with all her friends on Saturday for = 2/3 of a hour.

Koran new chatted online with all her friends on Sunday for = 1/4 of an hour.

She chatted with Penelope for = 1/8 of the total time.

Question asked:

Which fraction of an hour did Koran apes chatting with Penelope ?

Solution:

Koran new chatted online with all her friends on Saturday for = $\frac{2}{3}$ of an hour

Koran new chatted online with all her friends on Sunday for = $\frac{1}{4}$ of an hour

Total time of chatting = $\frac{2}{3}+$ $\frac{1}{4}$

= $\frac{8+3}{12}$ ( By taking LCM of 3 and 4 we get 12 )

= $\frac{11}{12}$ of an hour

Now, She chatted with Penelope for = $\frac{1}{8}\ of \frac{11}{12} = \frac{1}{8}\ \times \frac{11}{12} = \frac{11}{96}$ of an hour

Therefore, Koran chat $\frac{11}{96}$ of an hour with Penelope.

7 0

4 years ago

Read 2 more answers

Which order does this go in?

Gwar [14]

Add 60+15, divide by 3, subtract 2

5 0

3 years ago

Read 2 more answers

Need please help with the answer

Sladkaya [172]

Step-by-step explanation:

the volume of a rotating solid out of an xy area in a certain interval is pi times the integral of that area squared (because we are emulating adding the volumes of cylinder slices) in that interval along the given axis.

if that area is defined as the difference between 2 curves, then that difference (of the squares) has to be integrated.

the "outer" curve is y = x² + 3 = R, because it has always the larger y values compared to y = 2x + 1 = r.

the volume of an outer cylinder slice is

pi × R² × dx

and of an internal cylinder slice is

pi × r² × dx

therefore, the volume of the difference "washer" cylinder is

pi×R²×dx - pi×r²×dx = pi×(R² - r²)×dx

and now integrating the infinitely thin washers across the interval [0, 2].

R² = (x²+3)² = x⁴ +6x² + 9

r² = (2x+1)² = 4x² + 4x + 1

R² - r² = x⁴ + 2x² - 4x + 8

the integral of (R² - r²)dx :

1/5 x⁵ + 2/3 x³ - 4/2 x² + 8x = 1/5 x⁵ + 2/3 x³ - 2x² + 8x

in the interval of [0, 2] that gives us

1/5 2⁵ + 2/3 2³ - 2×2² + 8×2 - 0 = 32/5 + 16/3 - 8 + 16 =

= 32/5 + 16/3 + 8 = 96/15 + 80/15 + 120/15 = 296/15

and as final step multiplying this by pi :

296pi/15 = 61.99409503... units³ ≈ 62 units³

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3 years ago

The cost of a shirt decreases by 18%. After the discount, the shirt costs $61.91. How much did the shirt cost before the discoun

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Answer:

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Step-by-step explanatio mjnn: scammed lol

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3 years ago