Find the unknown side length. Write your answer in simplest radical form.

Answer:

infinitely many solutions

Step-by-step explanation:

we have: x+6y= 3

5x+30y=15

where a1/a2 = b1/b2 = c1/c2 (1/5 = 6/30 = 3/15)

Thus, the system has infinitely many solutions.

another approach:

convert to slope-intercept form

y= -1/6x + 1/2

y= -1/6x + 1/2

thus, the system has infinitely many solutions.

(explain: if two lines have a same slope (-1/6), they can be either parallel or coincided. But in this case, they also have a same y-intercept so they must be the latter case)

Hey there!

The answer to your question is 5/38

We can find this answer by taking the total group and subtracting all the data to see how many are left who don't play either:

38 - 14 - 8 - 11

5

This means that 5 out of every 38 pupils do not play either instrument, so the probability would be 5/38.

Hope this helps! Have a great day and good luck on your assignment!

Answer

6.038 times 100 = 603.8

603.8 / 10 = 60.38

60.38 / 1,000 = 0.06038

0.6038 times 10 = 6.038

Answer:

6.038 times 100 = 603.8

603.8 / 10 = 60.38

60.38 / 1,000 = 0.06038

0.6038 times 10 = 6.038

( Did it on college board)

Step-by-step explanation:

Complete question :

You have relatives living in the United Kingdom and in France. Suppose that you have purchased a prepaid phone card with a value of $75. Calls to the United Kingdom cost 23¢ per minute, while calls to France cost 21¢ per minute."Suppose you anticipate needing to call the UK for a total of 250 minutes and France for 100 minutes. Will a $75 card cover the cost of this much calling?

Answer:

cell phone card won't be enough.

Step-by-step explanation:

Cell phone card value = $75

United kingdom = 23cent per minute

France = 21 cent per minute

United Kingdom minutes = 250

France minutes = 100

Total cost :

23 cent = $0.23

21 cent = $0.21

Total :

United Kingdom = 0.23 * 250 = $57.5

France = 0.21 * 100 = $21

$21 + $57.5 = $78.5

$78.5 > $75

Then, it can be concluded that the cell phone card won't be enough.

Answer:

2+5

Step-by-step explanation:

Ratio of 2feet to 40 inches = 3/5 = 3:5

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

Given measurements,

2 feet and 40 inches

1 feet = 12 inches

2 feet = 24 inches

Ratio of 2 feet to 40 inches = 24/40

                                              = 3/5

Hence, 3/5 is the ratio of 2 feet to 40 inches.

Learn more about ratio here:

https://brainly.com/question/13419413

#SPJ5

Answer:

x = 2

x = -1

Answer:

[tex]8\frac{1}{8}[/tex]

Step-by-step explanation:

[tex]3\frac{1}{8} \times 2 \frac{3}{5}[/tex]

[tex]=\frac{25}{8} \times \frac{13}{5}[/tex]

[tex]=\frac{25\times13}{8\times5}[/tex]

[tex]=\frac{325}{40}[/tex]

[tex]=\frac{325/5}{40/5}[/tex]

[tex]=\frac{65}{8}[/tex]

[tex]=8\frac{1}{8}[/tex]

Hope this helps :)

Answer:

x=3

PAW = 40

Step-by-step explanation:

-11x+173-x+43=180

-12x+ 216 = 180

12x = 36

Answer:

2.2$

Step-by-step explanation:

Because 52.80 divided b 24 equals 2.2$

have a nice day! :>

Answer: 16%

Step-by-step explanation:

The total amount of cookies is 410.

410 represents 100%

410/100=65/x

X represents the unknown percentage

Cross multiply: 410x=6500

Divide: x=15.85

Round up: 16%

Answer:

I have the same question

Step-by-step explanation:

message me if anyone helps I need it too

Answer:

65536

Step-by-step explanation:

=(642)(42)

=4096(42)

=(4096)(16)

i hope this helps if u need me to explain more i will be happy too <3

Answer:

first option

Step-by-step explanation:

Using the sine/ cosine ratios in the right triangle and the exact values

sin30° = [tex]\frac{1}{2}[/tex] , cos30° = [tex]\frac{\sqrt{3} }{2}[/tex]

sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{32}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

2x = 32 ( divide both sides by 2 )

x = 16

----------------------------------------------------------

cos30° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{y}{32}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )

2y = 32[tex]\sqrt{3}[/tex] ( divide both sides by 2 )

y = 16[tex]\sqrt{3}[/tex]

Answer:

[tex]y=2.5*10^9(0.005^{12 0}) \\\\[/tex]

Step-by-step explanation:

The above question is in the form of an exponential decay. The equation for an exponential decay is given by:

[tex]y=ab^x[/tex]

where y and x are variables, b < 1, a is the initial value of y (that is the value of y when x = 0).

Let y represent the number of trees left and x represent the number of months. Given that there is currently 2.5 billion trees, therefore a = 2.5 * 10⁹, b = 0.5% = 0.005. The equations becomes:

[tex]y=2.5*10^9(0.005^x)\\\\After\ ten\ years(x=10*12\ months=120\ months):\\\\y=2.5*10^9(0.005^{12 0}) \\\\[/tex]

Answer:

1 is 55

2 is 128

3 is 175

4 is no because the sell price is not 12 dollars, its 12 dollars extra

5 is A

Step-by-step explanation:

Answer:

The circumference of circle with radius x+3 is: [tex]2\pi x+6\pi[/tex]

Step-by-step explanation:

Given that

Radius = r =x+3

The circumference of a circle is the distance around boundary of the circle.

The circumference of circle is given by the formula.

[tex]C = 2\pi r[/tex]

Putting the value of r, we get

[tex]C = 2\pi (x+3)\\C = 2\pi x+6\pi[/tex]

Hence,

The circumference of circle with radius x+3 is: [tex]2\pi x+6\pi[/tex]

Answer:

44

Step-by-step explanation:

Substitute the values for the variables.

5(8) + 12/3

40 + 4 = 44

Answer:

1 cart = 125

2 cart = 135

3 cart = 145

4 cart = 155

Step-by-step explanation:

Answer:

1/2 or .5

Step-by-step explanation:

you find 2 points that the line goes through, then you find the rise/run. lastly you simplify if you can, then you have the answer

Answer:

[tex]\displaystyle m=\frac{-1}{3}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (2, 0)

Point (5, -1)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Answer:

[tex]Ladder = 2\frac{1}{4}\ m[/tex]

Step-by-step explanation:

Given

[tex]Sections = 3[/tex]

[tex]Length = \frac{3}{4}m[/tex] per section

Required

Determine the length of the ladder

The length of the ladder is calculated by multiplying the number of sections by the length of each section.

So, we have:

[tex]Ladder = 3 * \frac{3}{4}\ m[/tex]

[tex]Ladder = \frac{9}{4}\ m[/tex]

[tex]Ladder = 2\frac{1}{4}\ m[/tex]

Hence, the length of the ladder is: [tex]2\frac{1}{4}\ m[/tex] or 2.25m

Answer:

A

HOPE THIS HELPS YOU

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MARK AS BRAINLIEST

Answer:

All of the options when substituted for b will make the root of b irrational

Step-by-step explanation:

Mathematically, surds are roots of non-perfect squares and they are tagged as irrational numbers

For b to be irrational, all of the numbers given would fit. This is because all of these numbers are non-perfect squares meaning they do not have square root.

So what this mean is that these numbers when put under the root umbrella are irrational numbers as they are not perfect squares

Step-by-step explanation:

118 is already an integer

Answer:

19.65

Step-by-step explanation:

Answer:

19.65

Step-by-step explanation:

..........

500minute

Step-by-step explanation:

if anthony rides 32 miles in 160 minute then he will ride 1 mile in 5 minutes