Two motorcyclists start at the same point and travel in opposite directions. One travels 10 mph
faster than the other. In 2 hours they are 224 miles apart. How fast is each traveling?

\(0.685\)

the expanded notation form.

\(0\)

\( + 0.6\)

\( + 0.08\)

\( + 0.005\)

it can be written as a sentence also,

0 + 0.6 + 0.08 + 0.005

Answer:

x = -1, 19

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

2x² - 20x = x² - 19

Step 2: Solve for x

Answer:

Equation: (x - 10)² = 81

Soulotion: x = 10 + 9

Step-by-step explanation:

I tried it on khan academy

Answer:

5.44 meters

Step-by-step explanation:

We Know

0.3048 meter = 1 ft

How many ft makes a height of 1.66m?

We Take

1.66 ÷ 0.3048 ≈ 5.44 meters

So, the answer is 5.44 meters.

Answer:

It is 25% percent......

Answer:

Step-by-step explanation:

45 / 180 = 0.25

25%

Answer:

(2+11)+y

Step-by-step explanation:

The associtive property is rearranging the position of the parethesis. So it would be (2+11)+y

I can check if it's equivalent by solving the expressions.

2+(11+y)=13+y

(2+11)+y =13+y

They are equivelent

Answer:

11+(2+y)

Step-by-step explanation:

The associative property says that you can move numbers inside the parentheses around if all the numbers are the same operation in a simple sense

So that means in this case: 2+(11+y)

We can switch the 2 and the 11 around since they are both the same, addition.

11+(2+y)

hope this helps!!

Answer:

40 min

Step-by-step explanation:

his sister can do it twice as fast so the boy does 1 and the sister does 2. he will do 1/3 of the work and it will take 1/3 of the time

Answer:

90 mins

Step-by-step explanation:

1 hour =60 mins

1/2 hour = 60/2=30

so, 60 +30=90

Answer:

The valedictorian is the person who has the highest academic achievements in their graduating class not to mention they get to deliver the valedictory speech.

Step-by-step explanation:

Step-by-step explanation:

according to Oxford learner's dictionary:

the student who has the highest grades in a particular group of students and who gives the valedictory speech at a graduation ceremony compare salutatorian.

it means to have quality speech

Answer:

The total number of ways is 252.

Step-by-step explanation:

Number of girls = 18

number of boys = 14

Commitee of one girl and a boy

(18 C 1)(14 C 1)

= 252

Using the parallelogram law to find m, the value of m is 50°.

The parallelogram law states that the sum of the squares for a parallelogram's four sides is equal to the sum of the squares for its two diagonals.

The parallelogram must have equal opposed sides in Euclidean geometry.

If ABCD is a parallelogram, then AB = DC and AD = BC, the parallelogram law is stated as:

2(AB)² + 2 (BC)² = (AC)² + (BD)²

If the parallelogram is a rectangle, the parallelogram law is stated as:

2(AB)² + 2 (BC)² = 2(AC)²

The value of the unknown angles in the parallelogram are as follows:

CED = 180 - (60 + 33 + 37)

CED = 50°

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Answer: 0.9554

Step-by-step explanation:

Let \(\overline{X}\) be the sample mean.

Given: Mean weight\((\mu)\) of an adult is 65 kilograms with a standard deviation\((\sigma)\) of 13 kilograms.

Sample space = 92

The probability that the sample mean would be greater than 62.7 kilograms:

\(P(\overline{X}>62.7)=P(\dfrac{\overline{X}-\mu}{\dfrac{\sigma}{\sqrt{n}}}>\dfrac{62.7-65}{\dfrac{13}{\sqrt{92}}})\\\\=P(Z>-1.70)\\\\=P(Z<1.70)\ \ \ \[P(Z>-z)=P(Z<z)]\\\\=0.9554\)[ By p-value table]

Hence, the required probability= 0.9554

9514 1404 393

Answer:

  33.49 ft³

Step-by-step explanation:

Use the formula for the volume of a sphere and fill in the given numbers. After that, it's all arithmetic. A calculator is usually helpful.

   \(V=\dfrac{4}{3}\pi r^3\\\\V=\dfrac{4}{3}(3.14)(2\text{ ft})^3=\dfrac{(4)(3.14)(8)}{3}\text{ ft}^3\\\\=\boxed{33.49\text{ ft}^3}\)

================================================

Work Shown for problem 1

P(pink, then violet) = P(pink)*P(violet given 1st was pink)

= (4/14)*(2/13)

= 8/182

= 4/91

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

Work Shown for problem 2

P(gray, then gray)

= P(gray)*P(gray given 1st was gray)

= (3/14)*(2/13)

= 6/182

= 3/91

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

Work Shown for problem 3

P(not yellow, not yellow)

= P(not yellow)*P(not yellow given 1st was not yellow)

= (9/14)*(8/13)

= 72/182

= 36/91

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

Work Shown for problem 4

P(yellow, not yellow)

= P(yellow)*P(not yellow given 1st was yellow)

= (5/14)*(9/13)

= 45/182

Answer:

(-7,0) and (-5,0)

Step-by-step explanation

1. 0= (x + 7)

  -7        -7

    -7=x

(-7,0)

2. 0= (x + 5)

    -5         -5

      -5=x

(-5,0)

Step-by-step explanation:

a scale factor applies to every line, that means also to every side of the polygon.

the area of a polygon is always created out of the product (multiplication) of 2 dimensions (or sides).

while a perimeter is a pure sum of sides.

so the perimeter grows by the same factor as the sides : scale factor 3.

the perimeter of the larger polygon is therefore :

50 × 3 = 150 cm

and the area of the larger polygon ?

remember, that the area is always the product of 2 sides (or the sum of products of 2 sides).

and so, the scale factor enters these multiplications twice, and it gets therefore squared : 3×3 = 9.

so, the area of the larger polygon is then

42 × 9 = 378 cm²

Answer:12.57

Step-by-step explanation:

The given decimal rounded to the nearest hundredth would be 12.57.

Hope this helps!

Answer:

114 are 27 , 28 , 29 , 30

Step-by-step explanation:

Answer: Four consecutive integers whose sum is 114 are 27 , 28 , 29 , 30 .

Answer:

The answer is: 27 , 28 , 29 , 30

Step-by-step explanation:

Answer:

DC = 16.5, CM = 16.5

Step-by-step explanation:

The centroid, C, would be the midpoint of DM if DM was a line between the midpoint of a side and it's opposite vertex. So DC and CM are half of DM. Hope this helps.

Answer:

main aapki madad karna chahti hun per Mujhe Ae Jahan question Nahin Aata sorry I don't know

sorry dear friend

Step-by-step explanation:

ok I don't know

Answer:

I think you were right, that it was A.

Answer:

\((fog)^{ \prime}(x) = 0\)

Step-by-step explanation:

\((fog) ^{ \prime} (x) = g^{ \prime}(x) \times f^{ \prime}(g(x))\)

\(g^{ \prime}(x) = 0\)

\(f^{ \prime}(x) = 1\)

\(f^{ \prime}(g(x)) = 1\)

\((fog)^{ \prime} (x) = 1 \times 0\)

\((fog)^{ \prime}(x) = 0\)

Answer: 81 + 49 + 1000

Step-by-step explanation:

Answer: 2,198,000

Step-by-step explanation:

(81 + 49)^3 + 1000

2,197,000 + 1000

2198,000

BRAINLEST PLPSS

Answer:

6% of 400 = 2 400

Step-by-step explanation:

6% of 200 is

Answer:

12 + x --> 18

3x + y --> 23

4y - 10 --> 10

(1)/(2)xy --> (1)/(60)

Step-by-step explanation:

Let's evaluate each expression with the given values of x=6 and y=5:

Expression: 12 + x

Substituting x=6 into the expression, we get: 12 + 6 = 18

Expression: 3x + y

Substituting x=6 and y=5 into the expression, we get: 3(6) + 5 = 18 + 5 = 23

Expression: 4y - 10

Substituting y=5 into the expression, we get: 4(5) - 10 = 20 - 10 = 10

Expression: (1)/(2)xy

Substituting x=6 and y=5 into the expression, we get: (1)/(2)(6)(5) = (1)/(2)(30) = (1)/(60)

The answer choice that matches our estimate is (5/2, 4/3).

We can graph both equations on the same coordinate plane and find where they intersect to estimate the solution to the system of equations 3x + 5y = 14 and 6x - 4y = 9. The intersection point will serve as our best guess for the solution.

To begin graphing the first equation, we can find its intercepts:

When x = 0, we have 3(0) + 5y = 14, resulting in y = 14/5.

When y = 0, we have 3x + 5(0) = 14, resulting in x = 14/3.

The intercepts are therefore (0, 14/5) and (14/3, 0).

When we plot these points and draw a line through them, we get:

    |

3   |       .

    |  

2   |    

    |    

1   |    .

    |      

0   |.__________________

     0     1     2     3

Let us now graph the second equation. Its intercepts can be found in the same way:

When x = 0, we get 6(0) - 4y = 9, resulting in y = -9/4.

When y = 0, we have 6x - 4(0) = 9, resulting in x = 3/2.

The intercepts are therefore (0, -9/4) and (3/2, 0).

When we plot these points and draw a line through them, we get:

 |

3   |  

    |  

2   |    

    |      

1   |    .

    |      

0   |._______

     0     1     2     3

We can now see that the two lines intersect at about (5/2, 4/3). As a result, our solution estimate is (5/2, 4/3).

As a result, the answer choice that corresponds to our estimate is (5/2, 4/3).

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The difference of the weight is 1 kg 949 g.

The weight of the two items to find the difference are as follows:

Difference in mathematics is the result of subtracting one number from another.

Therefore, let's convert  the weight .

1000g = 1 kg

32 g =

cross multiply

weight = 32 / 1000

weight = 0.032 kg

1000g = 1 kg

83 g = ?

cross multiply

weight = 83 / 1000 = 0.083 kg

Therefore,

25 kg + 0.032 kg = 25.032 kg

23kg + 0.083 kg = 23.083 kg

Hence,

the difference of the weight = 25.032 kg - 23.083 kg

the difference of the weight = 1.949 kg

Hence,

the difference of the weight = 1 kg 949 g

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Answer:

The angles x, y, and z are 70 degrees, 110 degrees, and 110 degrees, respectively.

Step-by-step explanation:

If one angle is 70 degrees, then its corresponding angle will also be 70 degrees. Therefore, the two linear angle pairs with 70 degrees are:

70 degrees and its corresponding angle (also 70 degrees)

x degrees and y degrees, where x and y add up to 180 degrees (because they are linear angle pairs)

Since x is a vertical angle to 70 degrees, it is also equal to 70 degrees. Therefore:

x = 70 degrees

y = 180 - x = 180 - 70 = 110 degrees

To find the angle z, we can use the fact that the sum of the angles around a point is 360 degrees. Since the two lines intersect and create four angles, the angles around the point where they intersect must add up to 360 degrees. Therefore:

z + 70 + 70 + 110 = 360

z + 250 = 360

z = 110 degrees

Therefore, the angles x, y, and z are 70 degrees, 110 degrees, and 110 degrees, respectively.

The domain of the function is (-∞, ∞.)

The range of the function is {3, ∞}.

We have,

From the given quadratic function,

We see that,

The x-values are -∞ to ∞

The y-values are from 3 to ∞

Now,

The x-values are called the domain.

The y-values are called the range.

Thus,

The domain of the function is (-∞, ∞.)

The range of the function is {3, ∞}.

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