there are six red marbles and 11 orange marbles in a bag. You randomly choose one of the marbles. What is the probability of choosing a red marble?

Answer:

x = 27

Step-by-step explanation:

this problem is similar to a scale drawing where we can set up a proportion:

'x' is to 5 as 162 is to 30

x/5 = 162/30

cross-multiply:

30x = 810

x = 810/30

x = 27

Answer:

x=27

Step-by-step explanation:

a. Based on the AA similarity theorem, Gilligan can conclude that, ΔABC ~ ΔSDC.

b. To the nearest tenth of a foot, the distance from the ship to the shore is: 847.8 ft.

The ratios of the corresponding sides of two triangles that are similar are equal.

Two triangles with two pairs of congruent angles are similar to each other based on the AA similarity theorem.

a. In ΔABC and ΔSDC, there are two pairs of congruent angles - ∠DCS ≅ ∠BCA (vertical angles) and ∠ABC ≅ ∠SDC (right angles)

Therefore, based on the AA similarity theorem, Gilligan can conclude that, ΔABC ~ ΔSDC.

b. AB = 150 ft

Distance from the ship to the shore = SD = ?

DC = 130 ft

CB = 23 ft

Thus:

AB/SD = CB/DC

Substitute

150/SD = 23/130

SD = (150×130)/23

SD = 847.8

Thus, to the nearest tenth of a foot, the distance from the ship to the shore is: 847.8 ft.

Learn more about similar triangles on:

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Answer:78

Step-by-step explanation:

Answer:

4 4/15

I put it all in the pic. I am bad at formatting. Sorry. Hope this helps.

:D

Answer:

Where would the decimal number 1.5 be on a number line? The decimal number 1.5 has a whole number of 1, which is the number to the left of the decimal. The number 1.5 is halfway between 1 and 2.

Step-by-step explanation:

Answer:

Is there a graph? I would love to help out just need a little more help.

Step-by-step explanation:

Answer:

=, there are equal

Step-by-step explanation: < means less than and > means greater than and = is just equal.

Use your calculator to the square root of 125.

The answer is 11.180...... and so on. But we just leave it as 11. Therefore, 11 and 11 are equal. That's the answer to your question.

Answer number 1.:

x=

31

​

−6≈−0.432235637

x=−

31

​

−6≈−11.567764363

answer number 2.:

Factor:

3 (x-(6 - 2   10

Evaluate:  

3 ( x2 - 12x -- 4)

Answer:

D:2x

Step-by-step explanation:

acc, to BOADMAS rule we have to first multiple then add

so , 1+2(x-1)

=> 1+2x-1

=> 2x

Answer:

6/8 = 12/18

Step-by-step explanation:

hope this helps :D

Answer:

1)  f-2g

2) h+3fg

Step-by-step explanation:

1)

2)

#1.

[tex]f(4) - g(2) + f(3))[/tex]

[tex]4f-2g + 3f[/tex]

[tex]4f - 3f - 2g[/tex]

[tex]f-2g[/tex]

#2.

[tex]h(1) + f(1) x g(3)[/tex]

[tex]h+fx 3g[/tex]

[tex]h + 3fg[/tex]

Answer:

Step-by-step explanation:

we simply the both sides:

6*7=5*7 |:7

So: 6=5 is remained. So I guess you’ll have to write it in this way:

6≠5.

Answer:

[tex]\frac{24}{a}[/tex] - b

[tex]\frac{b-2}{a}[/tex]

[tex]\frac{21}{a}[/tex]-[tex]\frac{b}{4}[/tex]

b - [tex]\frac{2}{3}[/tex]a

25 - 2b

5b - 10a

Step-by-step explanation:

a = 3 and b = 8

Plug in a and b into your equations.

25 - 2(8) = 25 - 16..........9

[tex]\frac{8-2}{3}[/tex] = [tex]\frac{6}{3}[/tex]..........2

5(8) - 10(3) = 40 - 30..........10

[tex]\frac{24}{3}[/tex] - 8 = 8 - 8..........0

[tex]\frac{21}{3}[/tex] - [tex]\frac{8}{4}[/tex] = 7 - 2..........5

8 - [tex]\frac{2}{3}[/tex](3) = 8 - 2..........6

Then you order least to greatest.

Answer:

use this formula

Step-by-step explanation:

Answer:

Step-by-step explanation:

The two relations can be written in general form using the given variable definitions as ...

  5x +7y -57.40 = 0

  4x +2y -32.60 = 0

The solution using the cross-multiplication method is ...

  d1 = (5)(2) -(4)(7) = 10 -28 = -18

  d2 = (7)(-32.60) -(2)(-57.40) = -228.20 +114.80 = -113.40

  d3 = (-57.40)(4) -(-32.60)(5) = -229.60 +163 = -66.60

  x = d2/d1 = -113.40/-18 = 6.30

  y = d3/d1 = -66.60/-18 = 3.70

The cost of 1 sandwich is $6.30.

The cost of 1 burrito is $3.70.
_____

For more about the cross-multiplication method of solving systems of equations, see ...

  https://brainly.com/question/26397343

Answer:

What are you talking about

Step-by-step explanation:

Answer:

Point

Step-by-step explanation:

its kinda in the name

Answer:

Answers are in picture, and they are color-coded.

Step-by-step explanation:

Hope this helps! Brainliest would be much appreciated! Have a great day! :)

Answer:

Upper quartile- The median of the upper half of a set of data

Lower Quartile- The median of the upper half of a set of data

Quartile- Divides a data set into four equal parts

Range- Difference between the highest and lowest data points

Interquartile- The difference between the upper quartile and the lower quartile

Answer:

50,646

Step-by-step explanation:

Jim would have saved 50,646 in 4 years

1 Year= 12.6615

12.6615 x 4=50,646

Jim will have $5,149,010 in 4 years.

Simple interest is a method for figuring out how much interest was paid on a sum of money during a specific time period at a specific rate. Simple interest has a constant principle amount. Simple interest is a clear-cut and simple method for computing financial interest.

We have,

P = $84,410.

R= 15%

T = 4 years

Using Simple Interest

SI = (P x R x T) / 100

SI = (84410 x 15 x 4)/100

SI = 5,064,000

So, the amount is

= 84,410 + 5,064,000

= 5,149,010

Learn more about Simple Interest here:

https://brainly.com/question/25845758

#SPJ2

Answer:

x=2 y=16 so (2,16)

Step-by-step explanation:

y=10x-4 --> 8x=10x-4

                  -10x -10x

-2x=-4

-2/-2x -4/-2

x=2

y=10x-4 --> y=10(2)-4

y=20-4

y=16

Answer:

2 ; 16

Step-by-step explanation:

y = 8x _
y = 10x - 4

___________
0=2x-4

4=2x

x=2

=> y=8*2=16

Answer:

Step-by-step explanation:

To test if this is a right triangle, let's test these side lengths with the Pythagorean Theorem.

a^2 + b^2 = c^2

c is the hypotenuse, the longest side of a right triangle.

a and b are the legs of the right triangle.

a = 7

b = 15

c = 17

7^2 + 15^2 = 17^2 ?

49 + 225 = 289 ?

274 ≠ 289

Thus, this triangle is not a right triangle since it does not satisfy the Pythagorean Theorem.

have a good day :)

Answer:

  B, C

Step-by-step explanation:

Since y=0, you are looking for equations such that 10 times the coefficient of x is the constant in the equation.

  a) 5·10 ≠ 15

  b) 2·10 = 20 . . . . select this one

  c) 10 = 10 . . . . select this one

  d) 3·10 ≠ 13

  e) 4·10 ≠ 20

  f) 6·10 ≠ 50

Answer:

7 h

Step-by-step explanation:

315 miles / 45 miles per hour

cross out the miles since those units cancel out

7 hours

Volume of 1st box:

[tex]3 \times 5 \times 8 = 120ft ^{3} [/tex]

Volume of 2nd box:

[tex]3 \times 5 \times 4 = 60ft ^{3} [/tex]

Combined volume:

[tex]120 + 60 = 180ft ^{3} [/tex]

Step-by-step explanation:

[tex]3 < x \geqslant 5[/tex]

Answer:

y-0 = 4/5(x-2)

Explanation:

0 is the y point so it goes in the y-y1 spot. The m or the slope goes into the m spot by the parenthesis. The 2 goes into the spot of the m-m1. One thing that is important is that when plugging in the point into the equation is to always put in the inverse. So if 3 was the y point, the equation would be y-3, if it was a negative point it would be, y + 3.

Answer:

8x^2-22x+15

Step-by-step explanation:

Multiply them together

Answer:

There are many, many, different expressions equivalent, but if you distribute them together you come up with:

8x² - 22x + 15

Step-by-step explanation:

When distributing (4x–5) (2x-3) we should end up with four values, and then add them together.

[] The outside numbers of 4x and -3

-> 4x * -3 = -12x

[] The inside numbers of -5 and 2x

-> -5 * 2x = -10x

[] The left numbers of 4x and 2x

-> 4x * 2x = 8x²

[] The right numbers of -5 and -3

-> -5 * -3 = 15

Now we can add them together;

-12x + -10x + 8x² + 15

8x² - 22x + 15

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.

- Heather

Answer:

( 8+15 ) + ( 4+9 ) = ( 4+9 ) + ( 8+15 )

Associative Property of Addition

Step-by-step explanation: