what the length of CE?

Answer:

Corky = c = 22 pounds

Muffin = m = 11 pounds

Rufus = r = 44 pounds

Step-by-step explanation:

Let the weight of each dog be represented as

Corky = c

Muffin = m

Rufus = r

The total weight of the dog is 77 pounds.

c + m + r = 77

Corky weighs twice as much as muffin.

c = 2m

m = c/2

Rufus weighs twice as much as corky.

r = 2c

Hence

c + c/2 + 2c = 77

3.5c = 77

c = 77/3.5

c = 22 pounds

m = c/2

m = 22/2

m = 11 pounds

r = 2c

r = 2 × 22

r = 44 pounds

Each dog weighs:

Corky = c = 22 pounds

Muffin = m = 11 pounds

Rufus = r = 44 pounds

Answer:

x = -7

Step-by-step explanation:

sum of interior angles in any triangle 180°

84 + 59 + 51 = 194

180 - 194 = -14

14 ÷ 2 = -7     x = -7

check

-7 + 59 = 52

-7 + 51 = 44

84 + 52 + 44 = 180

Answer:

1800000000000000000

The solution is 170°, is the measure of the remaining angle.

Addition is a way of combining things and counting them together as one large group. ... Addition in math is a process of combining two or more numbers.

here, we have,

given that,

The measures of 5 of the interior angles of a hexagon are: 160°, 90°, 60°, 160°, and 80°.

so, we have,

Sum of all the six interior angles of a hexagon is 720°

now, we get,

The sum of 5 interior angles is = 160°+ 90°+ 60°+ 160°+ 80° degrees

                                                  = 550

The missing 6th angle is =  720° - 550degrees

                                         =170

So the remaining angle of hexagon is 170 degrees.

Therefore, the answer is 170°.

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Answer:

See answer below

Step-by-step explanation:

Given the expressions

8 × 1/9, 4 × 4/5, 6 × 1/5, 9 × 1/2, 1 × 2/5, 9 × 1/9

We are to check which is less than 1, equal to 1 and greater than 1

For 8×1/9

8×1/9 = 8/9

8/9 = 0.889<1

Hence 8/9 is less than 1

For 4 × 4/5

4 × 4/5 = 16/5

16/5 = 3 1/5

3 1/5 =3.2>1

Hence 4 4/5 is greater than 1

For 6×1/5;

6×1/5 = 6/5

6/5 = 1.2 >1

Hence 6×1/5 is greater than 1

For 9 × 1/2:

9 × 1/2 = 9/2

9/2 = 4.5>1

Hence 9× 1/2 is greater than 1

For 1×2/5;

1×2/5 = 2/5

2/5 = 0.4<1

Hence 1×2/5 is less than 1

For 9×1/9

9×1/9 = 9/9

9/9 = 1

Hence 9×1/9 is equal to 1

Answer:

a2

Step-by-step explanation:

2x +64 =96

2x = 96 - 64

2x= 32

x= 16

Answer:

0.5, 1.25, 2 and 1/4

Step-by-step explanation:

Answer:

a,b,d

Step-by-step explanation:

all are more then zero

Answer

thats right

Step-by-step explanation:

Answer:

A. p+18=41; p = 23

Step-by-step explanation:

Number of hardcover books 18, + number of paperback book add up to make a total of 41, which makes the equation, p+18=41, to solve this, you want to have p by itself, simply subtract 18 from both sides, and you get p = 23.

Hope this helped :)

Answer:

6 miles

Step-by-step explanation:

SO first divide 135 by 45

You’ll get 3

Now using 3 we multiply that by 2

youll get 6 miles

135 minutes/ 45 minutes = 3

2 miles x 3 = 6

They can walk 6 miles.

Expand the left side using the angle sum identity for sine:

sin(x + π/2) = sin(x) cos(π/2) + cos(x) sin(π/2)

cos(π/2) = 0 and sin(π/2) = 1, so the right side reduces to

sin(x + π/2) = cos(x)

as required.

The intersection of both the graphs gives the solution to the system of equations , The point of intersection is (- 3 , 4).

The set of equations that have common solution is called System of Equations.

The equations given in the question is

2x -3y = -18

3x +y = -5

The graph has been plotted and attached with the answer ,

The intersection of both the graphs gives the solution to the system of equations.

The point of intersection is (- 3 , 4) , x = -3 and y = 4.

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[tex]c + 2c + c - 5c + 1 \\ = - c + 1[/tex]

Answer:

Chart B

Step-by-step explanation:

you go out .25 on the x axis and down 1.75

Answer:

im pretty sure it's a

Step-by-step explanation:

im literally doing that question

Answer: -8>p

Step-by-step explanation: um it just is

The required inequality is -8 > p which represents elevations below -8 meters.

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.

The operator that performs the arithmetic operations is called the arithmetic operator.

Let p be the elevation of a passage in meters.

We have to determine inequality that represents elevations below -8 meters.

According to the given question, translate the phrase into an algebraic form :

⇒ -8 > p or

⇒ p > 8

Therefore, the algebraic inequality represents the sentence " p less than eight"

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Answer:

1674

Step-by-step explanation:

Answer:

x ≤ 6

Step-by-step explanation:

Let the unknown number be x;

9 times the number is expressed as 9x

9 more than 9 times a number is expressed as 9x + 9

9 more than 9 times a number is less than or equal to 163 is then expressed as;

9x + 9≤ 63

≤ is the less than or equal to sign

Find the solution;

9x ≤ 63 - 9

9x≤54

x ≤ 54/9

x≤ 6

Hence the required solution is x ≤ 6

The condition that must be true about the probabilities is P(A and B) = xy

The probabilities of the events A and B are given as:

P(A) = x

P(B) = y

Given that events A and B are independent events, then we have the following equation

P(A and B) = P(A) * P(B)

The equation becomes

P(A and B) = x * y

P(A and B) = xy

Hence, the condition that must be true is P(A and B) = xy

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Answer:

car x travels 62 miles an hour

Step-by-step explanation:

186 in 3 hours can also be represented by 186 divided by 3, and when this happens you would get 62 miles per hour

y=62x equation of the line that describes the relationship between distance and time​.

Speed is the time rate at which an object is moving along a path.

Given,

car x travels 186 miles

Distance=186

Time = 3 hours

We need to find the equation of  the line that describes the relationship between distance and time​

This can be achieved by Speed  formula.

Speed=Distance/time

Speed =y/x

Speed =186/3=62

62=y/x

Now apply cross multiplication

y=62x.

Hence, y=62x equation of the line that describes the relationship between distance and time​.

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if 15 cars were washed there would be $52.50

Answer:

bring all point according to its instruction and draw them back

Step-by-step explanation:

it's hard to explain online

Answer:

a) there are 7,854,000 number of ways the random selections can be arranged

b) the required probability is 0.0445

Step-by-step explanation:

Given that;

you have 12 pair of long pants, 6 pair of short pant and 17 t-shirt which in total;

Total = 12 + 6 + 17 = 35

a) number of ways a random selection of 9 pair of long pants, 4 pair of short pants and 13 t-shirts can be arranged;

⇒ [ 12   ×    [ 6     ×    [ 17

     9 ]          4 ]           13 ]

= (12! / (9! 3!)) (6! / (4! 2!)) (17! / (13! 4!))

= (220) (15) (2380)

= 7,854,000

Therefore there are 7,854,000 number of ways the random selections can be arranged

b)

Number of ways of selecting 25 item from 35 items;

⇒ [ 35        

    25 ]

=

(35! / (25! 10!) = 183.579,396

now number of ways to select 10 pair of long pants, 3 pairs of short pantts and 12 t-shirt;

⇒ [ 12   ×    [ 6     ×    [ 17

     10 ]         3 ]           12 ]

= (12! / (10! 2!)) (6! / (3! 3!)) (17! / (12! 5!))

= (66) (20) (6188)

= 8,168,160

So, Required probability = 8,168,160 / 183,579,396

= 0.0445

So the required probability is 0.0445

Answer:

$320.00

Step-by-step explanation:

Answer:

1.56

Step-by-step explanation:

Given that :

Average height (μ) = 70 in

10% are taller than 72 in ; the standard deviation Given a normal distribution :

P(x > Z) = 0.10

Using a Z probability calculator, the Z value corresponding to P(x > Z) = 0.10 is 1.282

Z = 1.282

Using the Z relation:

Z = (x - μ) / σ

σ = standard deviation x = 72

1.282 = (72 - 70) / σ

1.282σ = 2

σ = 2 / 1.282

σ = 1.5600624

σ = 1.56

Answer:

10

Step-by-step explanation:

[tex]\sin 30\degree = \frac{5}{x}\\\\

\frac{1}{2}= \frac{5}{x}\\\\

x = 5\times 2\\\\

x = 10 \\ [/tex]