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3 years ago

Red balloons float orange marbles at a ratio of 6:4.

Mathematics

1 answer:

Artyom0805 [142]3 years ago

3 0

Answer:

16 marbles.
15 balloons.

Step-by-step explanation:

Question-1 solution:

We can solve this question with the help of proportion. Seek solution below!

6:4 = 24:x
=> 6x = 96
=> x = 16

Hence, for question 1, the answer is 16 marbles.

Question-2 solution:

We can solve this question with the help of proportion. Seek solution below!

6:4 = x:10
=> 60 = 4x
=> x = 15

Hence, for question 2, the answer is 15 balloons.

Hoped this helped.

$BrainiacUser1357$

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5. Which of the following linear functions has a graph which passes through points (−5,−2) and (−3,0)?

sergeinik [125]

Answer:

$f(x) = x + 3$

Step-by-step explanation:

Given

Points (−5,−2) and (−3,0)

Required

Find a linear function that passes through the given points

The question implies that we solve for the equation for the line;

First, the slope of the line must be calculated;

This is calculated as thus:

$m = \frac{y_2 - y_1}{x_2 - x_1}$

Where $(x_1,y_1) = (-5,-2)\ and\ (x_2,y_2) = (-3,0)$

So, $m = \frac{y_2 - y_1}{x_2 - x_1}$ becomes

$m = \frac{0 - (-2)}{-3 - (-5)}$

$m = \frac{0 + 2}{-3 + 5}$

$m = \frac{2}{2}$

$m = 1$

The equation of the line can then be calculated using any of the given points;

Using

$m = \frac{y - y_1}{x - x_1}$

$Where\ (x_1,y_1) = (-5,-2)\ and\ m =1$

We have

$1 = \frac{y-(-2)}{x-(-5)}$

$1 = \frac{y+2}{x+5}$

Multiply both sides by x + 5

$(x+5)*1 = \frac{y+2}{x+5} * (x+5)$

$x + 5 = y + 2$

Subtract 2 from both sides

$x + 5 - 2 = y + 2 - 2$

$x + 3 = y$

$y = x + 3$

Replace y with f(x)

$f(x) = x + 3$

Hence, from the list of given options; Option B is correct

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3 years ago

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zhuklara [117]

Answer:

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Step-by-step explanation:

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3 years ago

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given that 8-sqrt(18) over sqrt(2) = a + b sqrt(2) where a and b are integers find the value of a and b

Novay_Z [31]

Answer:

a = - 3 and b = 4

Step-by-step explanation:

Given

$\frac{8-\sqrt{18} }{\sqrt{2} }$

Simplify $\sqrt{18}$

= $\sqrt{9(2)}$ = $\sqrt{9}$ × $\sqrt{2}$ = 3 $\sqrt{2}$

Thus expression can be written as

$\frac{8-3\sqrt{2} }{\sqrt{2} }$

Multiply numerator/denominator by $\sqrt{2}$

noting that $\sqrt{2}$ × $\sqrt{2}$ = 2

= $\frac{\sqrt{2}(8-3\sqrt{2}) }{\sqrt{2}(\sqrt{2}) }$

= $\frac{8\sqrt{2}-6 }{2}$

Dividing each term on the numerator by 2

= 4 $\sqrt{2}$ - 3

= - 3 + 4 $\sqrt{2}$

with a = - 3 and b = 4

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2 years ago

The Kansas City Chiefs are trying to figure out if there is a relationship between the number of passes thrown by Quarterback Pa

stich3 [128]

The linear regression equation that represents this data is given as follows: y = 22x - 518.

Using this equation, when 38 passes are thrown, the expected yardage is of 318 yards.

<h3>How to find the equation of linear regression?</h3>

To find the regression equation, also called line of best fit or least squares regression equation, we need to insert the points (x,y) in the calculator. These points are given on a table or in a scatter plot in the problem.

In the context of this problem, the input and output are given as follows:

Input: number of passes thrown by Patrick Mahomes.

Output: number of passing yards obtaining by Mahomes/KC.

The points to be inserted in the calculator are given as follows:

(39, 360), (35, 235), (35, 262), (37, 249), (40, 338).

Hence the equation is given by:

y = 22x - 518.

With 38 passes, the expected yardage is calculated as follows:

y = 22(38) - 518 = 318 yards.

More can be learned about linear regression at brainly.com/question/22992800

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